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
[ 2832, 558, 280, 330, 3629, 1197, 25, 203, 1516, 25584, 280, 225, 35, 203, 297, 4153, 57, 280, 2933, 203, 1066, 6904, 280, 3177, 203, 1516, 12981, 280, 225, 38, 203, 19900, 81, 668, 5745, 280, 225, 35, 34, 34, 203, 19900, 81, 2668, 2130, 280, 225, 36, 203, 19900, 81, 2668, 2102, 280, 225, 36, 203, 858, 81, 1516, 62, 3009, 280, 225, 39, 34, 203, 34905, 720, 280, 2933, 203, 777, 329, 81, 1516, 12981, 280, 225, 36, 203, 777, 329, 19900, 81, 668, 5745, 280, 225, 35, 36, 203, 777, 329, 19900, 81, 2668, 2130, 280, 225, 36, 203, 777, 329, 19900, 81, 2668, 2102, 280, 225, 36, 203, 19029, 445, 81, 1516, 62, 3009, 280, 225, 40, 203, 1164, 37273, 81, 3364, 280, 225, 34, 32, 37, 203, 7830, 81, 5685, 280, 225, 34, 32, 39, 203, 1393, 81, 5685, 280, 225, 34, 32, 34, 39, 203, 2195, 81, 5685, 280, 225, 34, 32, 43, 39, 203, 88, 975, 81, 5685, 280, 225, 34, 32, 36, 39, 203, 1873, 81, 5685, 280, 225, 34, 32, 36, 39, 203, 990, 81, 5685, 280, 225, 34, 32, 41, 39, 203, 858, 81, 1112, 3024, 280, 638, 34, 39, 203, 266, 1167, 81, 1112, 3024, 280, 638, 34, 39, 203, 3299, 367, 81, 1112, 3024, 280, 638, 34, 39, 203, 18508, 1031, 280, 43563, 203, 8717, 81, 8270, 280, 10440, 35, 36, 40, 30, 37, 34, 30, 35, 39, 40, 30, 36, 39, 39, 7039, 36, 35, 30, 35, 41, 40, 30, 36, 40, 30, 36, 39, 39, 7039, 37, 30, 40, 41, 30, 36, 36, 37, 30, 36, 39, 39, 7039, 36, 39, 39, 30, 35, 36, 43, 30, 35, 43, 36, 30, 36, 39, 39, 7039, 36, 36, 43, 30, 34, 30, 34, 30, 36, 39, 39, 7039, 36, 38, 43, 30, 35, 35, 39, 30, 40, 30, 36, 39, 39, 7039, 36, 39, 39, 30, 36, 39, 39, 30, 36, 34, 30, 36, 39, 39, 7039, 35, 34, 35, 30, 39, 39, 30, 34, 30, 36, 39, 39, 2177, 203, 1489, 81, 4243, 280, 2726, 28550, 1195, 6555, 1195, 5466, 1195, 32176, 1195, 1092, 1195, 18535, 1195, 14970, 1195, 35903, 683, 203, 1489, 81, 1744, 81, 2671, 81, 4641, 280, 225, 34, 32, 36, 225, 203, 1489, 81, 1744, 81, 1393, 81, 4641, 280, 225, 34, 32, 36, 225, 203, 858, 81, 6587, 81, 2671, 81, 4641, 280, 225, 34, 32, 35, 39, 225, 203, 858, 81, 6587, 81, 1393, 81, 4641, 280, 225, 34, 32, 35, 39, 225, 203, 4738, 4153, 57, 6196, 280, 225, 36, 34, 34, 34, 34, 203, 416, 1899, 318, 723, 953, 280, 313, 57, 20, 203, 1449, 1899, 318, 723, 1043, 280, 225, 35, 34, 34, 34, 34, 34, 34, 34, 34, 203, 19900, 81, 25919, 10438, 101, 1834, 720, 280, 225, 37, 203, 858, 81, 25919, 10438, 101, 1834, 720, 280, 225, 35, 34, 203, 12089, 5125, 52, 1204, 280, 225, 36, 34, 34, 34, 203, 878, 5125, 52, 1204, 280, 313, 936, 8753, 13585, 203, 2969, 1043, 280, 225, 37 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 2, 2, 3 ]
[ 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 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, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 5, 5, 5, 1, 7, 7, 7, 1, 1, 1, 3, 3, 3, 3, 3, 5, 5, 3, 7, 7, 7, 3, 1, 5, 3, 3, 5, 5, 5, 5, 5, 7, 7, 7, 5, 1, 1, 1, 7, 3, 3, 3, 7, 5, 5, 5, 7, 7, 7, 7, 7, 1, 1, 1, 9, 3, 9, 5, 9, 7, 7, 7, 9, 1, 1, 1, 11, 3, 3, 3, 11, 5, 11, 7, 7, 7, 11, 1, 1, 1, 13, 3, 3, 3, 13, 5, 5, 13, 7, 7, 7, 13, 1, 1, 1, 15, 3, 3, 15, 5, 15, 7, 7, 7, 15, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2 ]
[ 1070, 8057, 27823, 1188, 3772, 203, 1070, 8057, 27823, 32, 3841, 1188, 3387, 203, 823, 36532, 26, 1761, 711, 284, 943, 81, 1493, 280, 3056, 104, 36, 33, 8841, 40381, 25, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 630, 32, 3648, 81, 4151, 280, 1605, 291, 2599, 26, 26605, 30, 630, 14585, 1664, 3207, 326, 5321, 27, 284, 477, 17614, 284, 665, 622, 81, 12565, 26, 6933, 30, 11012, 81, 452, 81, 2468, 81, 2609, 81, 2585, 47, 1815, 30, 2192, 47, 35, 34, 34, 34, 30, 3486, 7116, 47, 34, 711, 291, 415, 11012, 81, 452, 81, 2468, 81, 2609, 81, 2585, 44, 324, 11012, 81, 452, 81, 2468, 81, 2609, 81, 2585, 280, 330, 1508, 25, 291, 813, 44, 324, 11012, 81, 452, 81, 2468, 81, 2609, 81, 2585, 280, 330, 1870, 25, 291, 1789, 280, 3387, 32, 371, 26, 324, 9011, 32, 416, 81, 1493, 30, 324, 2467, 81, 2132, 1279, 400, 330, 28565, 705, 2438, 6588, 4495, 950, 11012, 81, 452, 81, 2468, 81, 2609, 81, 2585, 30, 400, 330, 1908, 950, 2192, 30, 400, 330, 11393, 950, 7116, 324, 320, 291, 829, 291, 442, 428, 6933, 14605, 3038, 27, 436, 3414, 328, 1789, 79, 284, 477, 17614, 284, 665, 622, 81, 464, 26, 6933, 30, 11012, 81, 452, 81, 2468, 81, 2609, 81, 2585, 47, 1815, 711, 291, 2192, 280, 225, 35, 34, 34, 34, 291, 7116, 280, 225, 34, 291, 1169, 81, 8841, 40381, 280, 1605, 291, 6178, 40381, 280, 9011, 32, 371, 81, 12565, 26, 20448, 81, 452, 81, 2468, 81, 2609, 81, 2585, 30, 2192, 30, 7116, 27, 291, 1929, 81, 1028, 81, 9150, 280, 2069, 26, 8841, 40381, 27, 291, 2218, 1929, 81, 1028, 81, 9150, 848, 225, 34, 44, 324, 1169, 81, 8841, 40381, 32, 8233, 26, 8841, 40381, 27, 324, 415, 1929, 81, 1028, 81, 9150, 333, 2192, 44, 400, 1626, 324, 7116, 1454, 2192, 324, 6178, 40381, 280, 9011, 32, 371, 81, 12565, 26, 20448, 81, 452, 81, 2468, 81, 2609, 81, 2585, 30, 2192, 30, 10000, 7116, 27, 324, 1929, 81, 1028, 81, 9150, 280, 2069, 26, 8841, 40381, 27, 291, 442, 1169, 81, 8841, 40381, 284, 477, 17614, 284, 665, 622, 81, 1170, 81, 314, 26, 6933, 30, 804, 711, 291, 804, 280, 629, 26, 314, 27, 291, 415, 804, 333, 225, 35, 44, 324, 3636, 3268, 346, 291, 1789, 280, 3387, 32, 371, 26, 324, 17246, 22298, 2473, 1643, 26, 6933, 32, 416, 81, 1493, 30, 804, 27, 291, 829, 291, 442, 9011, 14605, 1986, 27, 284, 477, 17614, 284, 665, 622, 81, 20495, 81, 4151, 26, 6933, 30, 804, 711, 291, 1789, 280, 3387, 32, 371, 26, 324, 17246, 46052, 4151, 2473, 1643, 26, 6933, 32, 416, 81, 1493, 30, 804, 27, 291, 829, 291, 442, 1789, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 9, 10, 9, 9, 9, 8, 8, 8, 9, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 5, 5, 6, 7, 7, 7, 7, 5, 5, 5, 6, 7, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 11, 11, 6, 6, 7, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 12, 12, 5, 5, 7, 7, 9, 10, 9, 9, 9, 10, 11, 11, 11, 9, 9, 9, 11, 11, 10, 11, 11, 14, 14, 14, 14, 14, 14, 12, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 14, 14, 12, 11, 11, 11, 14, 14, 12, 11, 11, 9, 9, 5, 5, 6, 9, 9, 11, 9, 7, 8, 8, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 5, 4, 4, 7, 7, 8, 8, 8, 8, 5, 5, 7, 7, 8, 5, 5, 8, 8, 8, 7, 7, 5, 5, 8, 7, 7, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 5, 5, 8, 8, 8, 8, 7, 7, 9, 10, 10, 9, 5, 5, 6, 8, 8, 8, 8, 7, 7, 8, 6, 6, 6, 11, 11, 11, 10, 11, 10, 11, 11, 10, 7, 7, 8, 10, 10, 10, 10, 9, 9, 8, 8, 8, 7, 7, 9, 9, 7, 7, 10, 9, 9, 11, 12, 12, 12, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 7, 7, 10, 10, 10, 10, 9, 9, 11, 12, 12, 11, 5, 5, 6, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 9, 10, 9, 5, 5, 6, 7, 7, 8, 6, 6, 6, 8, 10, 5, 5, 7, 7, 9, 10, 9, 9, 9, 13, 13, 12, 11, 13, 12, 13, 13, 13, 11, 11, 11, 9, 9, 5, 5, 6, 8, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 9, 10, 9, 9, 9, 13, 13, 13, 12, 11, 13, 12, 13, 13, 13, 11, 11, 11, 9, 9, 5, 5, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 1, 1, 4, 4, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 5, 0, 0, 0, 0, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 4, 4, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 4, 4, 1, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 465, 25679, 203, 1070, 7744, 1188, 35448, 203, 1070, 638, 1439, 81, 3142, 81, 28978, 1188, 3772, 2291, 38469, 203, 1070, 598, 14823, 32, 13548, 1160, 32, 692, 9616, 460, 1421, 81, 3922, 1188, 16376, 44033, 10527, 2825, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 9863, 1893, 1013, 13281, 69, 280, 313, 28583, 32, 750, 14200, 3107, 203, 1197, 52, 27499, 280, 313, 28583, 32, 28583, 2422, 32, 14072, 2422, 32, 53, 906, 3825, 3107, 203, 823, 5826, 9348, 2291, 38469, 26, 1761, 2291, 38469, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 4082, 32, 1338, 440, 1664, 5826, 9348, 2291, 38469, 657, 291, 2599, 26, 28583, 2291, 38469, 30, 630, 14585, 1664, 3207, 426, 1057, 28440, 683, 291, 630, 32, 3648, 81, 3494, 280, 2726, 28583, 32, 3287, 11396, 370, 4985, 330, 28583, 32, 20896, 370, 4985, 330, 28583, 32, 4048, 1043, 370, 4985, 330, 28583, 32, 31589, 3258, 885, 370, 4985, 330, 28583, 32, 9480, 1467, 1462, 370, 4985, 330, 28583, 32, 30409, 77, 34, 997, 1113, 11099, 720, 370, 4985, 330, 28583, 32, 9480, 8733, 1834, 5197, 370, 4985, 330, 28583, 32, 7804, 17566, 32, 13548, 720, 370, 4985, 3366, 52, 27499, 474, 330, 13811, 12042, 32, 9480, 15452, 1834, 1721, 11099, 370, 4985, 3366, 52, 27499, 474, 330, 13811, 12042, 32, 11613, 1043, 370, 4985, 3366, 52, 27499, 474, 330, 30409, 1241, 265, 32, 13429, 101, 26960, 370, 4985, 3366, 52, 27499, 474, 330, 30409, 1241, 265, 32, 2235, 42263, 2373, 15779, 32, 1003, 13034, 9168, 370, 4985, 3366, 52, 27499, 474, 330, 30409, 1241, 265, 32, 383, 331, 42263, 2373, 15779, 32, 1003, 13034, 9168, 370, 4985, 330, 28583, 32, 7804, 17566, 32, 13548, 720, 370, 4985, 18131, 1893, 1013, 13281, 69, 474, 330, 2301, 81, 13811, 11629, 32, 6565, 370, 4985, 18131, 1893, 1013, 13281, 69, 474, 330, 2301, 81, 13811, 11629, 32, 4840, 5818, 370, 4985, 18131, 1893, 1013, 13281, 69, 474, 330, 2301, 81, 13811, 11629, 32, 4219, 4607, 558, 370, 4985, 18131, 1893, 1013, 13281, 69, 474, 330, 2301, 81, 2235, 42263, 2373, 15779, 32, 6565, 370, 4985, 18131, 1893, 1013, 13281, 69, 474, 330, 2301, 81, 2235, 42263, 2373, 15779, 32, 4840, 5818, 370, 4985, 18131, 1893, 1013, 13281, 69, 474, 330, 2301, 81, 2235, 42263, 2373, 15779, 32, 4219, 4607, 558, 370, 4985, 3366, 52, 27499, 474, 330, 30409, 1241, 265, 32, 2235, 42263, 2373, 15779, 32, 7900, 370, 4985, 18131, 1893, 1013, 13281, 69, 474, 330, 2301, 81, 383, 331, 42263, 2373, 15779, 32, 6565, 370, 4985, 18131, 1893, 1013, 13281, 69, 474, 330, 2301, 81, 383, 331, 42263, 2373, 15779, 32, 4840, 5818, 370, 4985, 18131, 1893, 1013, 13281, 69, 474, 330, 2301, 81, 383, 331, 42263, 2373, 15779, 32, 4219, 4607, 558, 370, 4985, 3366, 52, 27499, 474, 330, 30409, 1241, 265, 32, 383, 331, 42263, 2373, 15779, 32, 7900, 25, 4985, 829, 291, 630, 32, 11797, 280, 16376, 44033, 10527, 2825, 346, 284, 665, 617, 12979, 26, 784, 30, 880, 470, 30, 1406, 48391, 81, 28344, 1196, 19066, 711, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 9, 8, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 6, 6, 6, 6, 5, 4, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 19, 19, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 21, 21, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 23, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 25, 25, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 29, 29, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 31, 31, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 33, 33, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 35, 35, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 37, 37, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 39, 39, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 41, 41, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 43, 43, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 45, 45, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 47, 47, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 49, 49, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 5, 2, 1 ]
[ 465, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 9042, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 669, 81, 2592, 463, 2250, 81, 2250, 370, 330, 2250, 81, 681, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1536, 1057, 1832, 541, 370, 1769, 81, 1322, 47, 43, 471, 4986, 81, 1536, 47, 2700, 27, 291, 3082, 32, 17777, 81, 2592, 463, 2250, 81, 2250, 370, 330, 2310, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10215, 24174, 5006, 47, 1815, 490, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 2592, 463, 2250, 81, 2250, 370, 330, 2250, 81, 681, 683, 291, 3082, 32, 17777, 81, 2592, 463, 2250, 81, 2250, 370, 330, 2310, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10215, 683, 1157, 284, 4549, 280, 301, 291, 330, 2250, 32, 2250, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 3196, 8885, 324, 330, 1439, 81, 5660, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 39, 35, 36, 45306, 324, 330, 4524, 81, 269, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 370, 5518, 5053, 2837, 81, 2174, 81, 669, 950, 330, 1815, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 2310, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10215, 370, 5518, 5053, 5006, 950, 330, 1815, 45306, 324, 330, 14243, 515, 659, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 39471, 370, 5518, 5053, 1536, 950, 330, 2700, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 2912, 81, 6426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1536, 950, 313, 2699, 392, 330, 1449, 81, 1322, 950, 330, 39, 35, 36, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 37, 36, 45306, 324, 330, 2250, 81, 681, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 43, 45306, 324, 330, 858, 81, 1517, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 39471, 370, 5518, 5053, 1536, 950, 330, 2700, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 6368, 81, 269, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 370, 5518, 5053, 2837, 81, 2174, 950, 330, 1815, 370, 330, 5006, 950, 330, 1815, 18143, 291, 320, 284, 320, 284, 6153, 81, 7491, 280, 2107, 2250, 785, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 12, 12, 9, 11, 11, 10, 11, 9, 7, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 5, 5, 2, 2, 5, 5, 4, 4, 7, 7, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 1, 0, 0, 7, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 1, 2, 5, 1, 2, 5, 1, 2, 2, 2, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 18971, 1188, 24014, 30, 3523, 30, 5668, 30, 1984, 81, 979, 30, 15820, 30, 1326, 30, 2908, 81, 2387, 203, 1070, 18971, 32, 407, 32, 17022, 3483, 1188, 14910, 3711, 203, 1070, 10284, 93, 1479, 36, 1188, 22333, 203, 1070, 4549, 1188, 319, 203, 465, 5741, 30, 7138, 30, 7744, 30, 2322, 203, 9592, 203, 465, 17778, 203, 1819, 280, 17778, 32, 10079, 1222, 26, 6482, 32, 20474, 81, 15174, 104, 35, 81, 36, 27, 203, 1819, 32, 944, 81, 6989, 81, 5074, 463, 8761, 1786, 32, 20579, 370, 330, 8761, 1786, 32, 678, 683, 203, 9592, 203, 725, 280, 24014, 4064, 426, 8223, 203, 725, 32, 2811, 280, 3177, 203, 725, 32, 1163, 710, 40737, 1996, 81, 24222, 785, 280, 301, 284, 330, 1199, 950, 330, 1409, 300, 2609, 370, 284, 330, 2035, 950, 330, 35, 36, 41, 32, 34, 32, 34, 32, 35, 370, 284, 330, 625, 950, 225, 36, 41, 34, 35, 41, 203, 111, 203, 1199, 280, 14910, 3711, 26, 725, 27, 203, 725, 32, 4073, 32, 34318, 26, 7490, 32, 1589, 27, 261, 203, 725, 32, 7241, 81, 678, 280, 330, 51, 34, 40216, 43, 42, 92, 33, 37, 107, 74, 559, 112, 74, 12993, 19, 24404, 64, 79, 62, 20284, 16334, 49, 4460, 25, 203, 50, 725, 32, 4351, 24667, 203, 589, 1650, 2262, 284, 415, 330, 18267, 25, 328, 3523, 44, 291, 442, 5668, 3247, 8224, 33, 34, 683, 284, 442, 2908, 81, 2387, 440, 1055, 32, 916, 392, 706, 1279, 1748, 203, 50, 725, 32, 4351, 3247, 890, 1526, 370, 4438, 11414, 3705, 3490, 203, 589, 537, 81, 1526, 2262, 284, 415, 330, 18267, 25, 328, 3523, 461, 1326, 32, 1959, 610, 330, 3705, 950, 291, 1256, 280, 2680, 32, 5740, 26, 314, 47, 2848, 710, 18267, 21229, 2232, 346, 291, 2364, 1777, 280, 1326, 32, 599, 710, 1131, 1031, 785, 291, 2364, 280, 6401, 26, 1286, 47, 1526, 1777, 30, 4081, 47, 496, 547, 2853, 346, 284, 442, 5668, 26, 965, 81, 979, 463, 1055, 2847, 203, 50, 725, 32, 4351, 3247, 669, 81, 13599, 14617, 18267, 22639, 203, 589, 1015, 81, 13599, 26, 18267, 47, 2521, 711, 284, 415, 330, 18267, 25, 328, 3523, 44, 291, 1256, 280, 2680, 32, 5740, 26, 314, 47, 2848, 710, 18267, 21229, 2232, 346, 291, 11970, 280, 2680, 32, 5740, 26, 314, 47, 18267, 547, 2232, 346, 291, 415, 11970, 646, 328, 1256, 32, 26740, 44, 324, 1256, 32, 26740, 32, 1689, 26, 13599, 27, 324, 1256, 32, 2853, 346, 291, 442, 5668, 3247, 3959, 26565, 2848, 1365, 18267, 6890, 284, 442, 5668, 3247, 3959, 26565, 2848, 1365, 18267, 6890, 203, 50, 725, 32, 4351, 3247, 2546, 81, 13599, 14617, 18267, 22639, 203, 589, 3345, 81, 13599, 26, 18267, 47, 2521, 711, 284, 415, 330, 18267, 25, 328, 3523, 44, 291, 1256, 280, 2680, 32, 5740, 26, 314, 47, 2848, 710, 18267, 21229, 2232, 346, 291, 11970, 280, 2680, 32, 5740, 26, 314, 47, 18267, 547, 2232, 346, 291, 415, 11970, 328, 1256, 32, 26740, 44, 324, 1256, 32, 26740, 32, 2546, 26, 13599, 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, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 5, 0, 4, 3, 4, 2, 2, 0, 5, 4, 5, 3, 5, 5, 5, 5, 5, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 5, 5, 5, 5, 5, 3, 3, 0, 3, 2, 2, 4, 4, 5, 4, 0, 5, 4, 5, 3, 4, 3, 5, 4, 5, 3, 0, 0, 4, 3, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 2, 2, 4, 7, 7, 5, 5, 4, 4, 4, 6, 8, 10, 10, 10, 10, 3, 3, 4, 6, 6, 6, 8, 8, 8, 8, 6, 7, 8, 0, 2, 5, 4, 5, 4, 6, 6, 6, 4, 5, 8, 8, 1, 2, 2, 3, 3, 3, 2, 2, 4, 8, 8, 6, 6, 5, 5, 7, 8, 6, 6, 8, 8, 4, 4, 7, 7, 11, 12, 11, 13, 12, 14, 13, 15, 15, 10, 9, 5, 5, 8, 7, 7, 9, 10, 8, 10, 10, 10, 5, 5, 7, 7, 11, 13, 12, 13, 13, 11, 11, 12, 13, 11, 10, 9, 3, 3, 4, 6, 8, 8, 8, 8, 10, 10, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 2, 2, 4, 7, 7, 5, 5, 4, 4, 4, 7, 7, 11, 12, 11, 13, 12, 14, 13, 15, 15, 10, 9, 5, 5, 7, 7, 11, 12, 11, 13, 12, 13, 11, 10, 9, 5, 5, 6, 7, 7, 7, 8, 9, 6, 6, 6, 11, 12, 10, 11, 10, 11, 10, 7, 7, 10, 11, 10, 5, 5, 6, 8, 11, 11, 11, 10, 12, 12, 3, 3, 4, 6, 9, 9, 9, 8, 10, 10, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 2, 2, 4, 7, 7, 5, 5, 4, 4, 4, 7, 7, 11, 12, 11, 13, 12, 14, 13, 15, 15, 10, 9, 5, 5, 7, 7, 11, 12, 11, 13, 12, 13, 11, 10, 9, 5, 5, 6, 7, 7, 8, 9, 6, 6, 6, 11, 12, 10, 11, 10, 11, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 12, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 1, 2, 13, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 2, 1, 4, 4, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 3, 1, 1, 1, 0, 2, 1, 2, 4, 4, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 15, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1 ]
[ 465, 19271, 5291, 3728, 203, 465, 19271, 22957, 203, 1070, 298, 2209, 362, 32, 21880, 1188, 42631, 203, 1070, 298, 2209, 362, 1188, 4774, 30, 4527, 203, 1070, 298, 2209, 362, 32, 666, 23077, 1188, 2926, 81, 2665, 203, 823, 551, 6257, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 31532, 35, 30, 31532, 36, 30, 575, 314, 35, 30, 575, 314, 36, 711, 291, 415, 34333, 36, 848, 34333, 35, 44, 324, 630, 32, 31532, 35, 47, 31532, 35, 324, 630, 32, 31532, 36, 47, 31532, 36, 324, 630, 32, 575, 314, 35, 47, 575, 314, 35, 324, 630, 32, 575, 314, 36, 47, 575, 314, 36, 291, 813, 44, 324, 630, 32, 31532, 35, 47, 31532, 36, 324, 630, 32, 31532, 36, 47, 31532, 35, 324, 630, 32, 575, 314, 35, 47, 575, 314, 36, 324, 630, 32, 575, 314, 36, 47, 575, 314, 35, 291, 630, 32, 18713, 6020, 784, 32, 31532, 35, 30, 784, 32, 31532, 36, 79, 203, 823, 9182, 26, 22952, 711, 284, 665, 1156, 1664, 3207, 784, 30, 426, 30, 5074, 30, 575, 314, 30, 575, 314, 36, 13530, 784, 47, 3515, 711, 291, 42631, 3667, 1664, 3207, 784, 13530, 784, 27, 291, 630, 32, 575, 314, 280, 736, 314, 291, 630, 32, 575, 314, 36, 280, 736, 314, 36, 291, 630, 32, 426, 280, 636, 291, 630, 32, 5074, 280, 8241, 291, 630, 32, 8233, 280, 225, 35, 291, 630, 32, 4836, 3210, 19066, 16189, 630, 32, 575, 3631, 19066, 4456, 630, 32, 18713, 19066, 41690, 630, 32, 944, 47, 2521, 291, 630, 32, 18637, 47, 34, 284, 665, 622, 81, 4710, 26, 784, 711, 291, 2266, 280, 330, 2023, 38149, 25, 291, 442, 428, 324, 428, 225, 35, 30, 330, 1908, 17125, 11822, 40380, 3210, 1195, 2188, 4288, 428, 225, 35, 30, 330, 979, 1936, 31064, 10699, 630, 32, 575, 314, 39039, 2188, 324, 428, 225, 36, 30, 330, 14686, 551, 6257, 25, 1717, 330, 3515, 32, 371, 81, 21880, 922, 4699, 346, 2188, 324, 428, 225, 36, 30, 330, 16581, 4328, 25, 1717, 330, 3515, 32, 371, 81, 21880, 922, 13036, 346, 2188, 324, 428, 225, 36, 30, 330, 4311, 12630, 40380, 3210, 25, 1717, 330, 3515, 32, 371, 81, 21880, 922, 2245, 346, 2188, 324, 428, 225, 36, 30, 330, 14686, 17125, 11822, 13630, 25, 1717, 330, 3515, 32, 371, 81, 21880, 922, 101, 5346, 346, 2188, 324, 428, 225, 36, 30, 330, 2538, 40380, 3210, 25, 1717, 330, 3515, 32, 371, 81, 21880, 922, 470, 81, 4836, 3210, 346, 2188, 324, 428, 225, 36, 30, 330, 7326, 25066, 40380, 3210, 25, 1717, 330, 3515, 32, 371, 81, 21880, 922, 4534, 346, 2188, 324, 428, 225, 36, 30, 330, 14070, 25, 1717, 330, 3515, 32, 371, 81, 21880, 922, 3815, 346, 2188, 324, 1481, 284, 665, 309, 5346, 26, 784, 711, 291, 4774, 32, 286, 1613, 346, 291, 630, 32, 944, 47, 35, 291, 630, 32, 371, 81, 13232, 346, 291, 1459, 313, 10855, 392, 630, 32, 18637, 291, 4774, 32, 1163, 81, 7068, 463, 12192, 81, 1640, 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, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 3, 3, 5, 7, 6, 6, 7, 5, 5, 5, 9, 10, 10, 8, 9, 9, 6, 6, 9, 10, 10, 8, 9, 9, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 5, 5, 6, 6, 6, 10, 11, 11, 9, 10, 10, 7, 7, 10, 11, 11, 9, 10, 10, 7, 7, 10, 11, 11, 11, 9, 10, 10, 10, 7, 7, 10, 11, 11, 11, 9, 10, 10, 10, 4, 4, 7, 8, 6, 9, 8, 9, 9, 7, 9, 8, 9, 9, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 4, 4, 7, 8, 8, 6, 4, 4, 7, 8, 6, 4, 4, 7, 8, 6, 7, 4, 4, 7, 8, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 5, 6, 6, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 7, 9, 6, 6, 7, 8, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 7, 7, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 4, 4, 7, 8, 6, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 5, 7, 7, 5, 6, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 3, 3, 2, 5, 5, 2, 7, 7, 7, 2, 9, 9, 9, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 3, 3, 0, 2, 2, 0, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 2, 2, 2, 0, 3, 2, 2, 2, 0, 6, 6, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 3, 2, 5, 2, 7, 7, 2, 9, 9, 9, 2, 0, 11, 2, 2, 0, 0, 0, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 4, 4, 0, 2, 2, 0, 4, 4, 0, 2, 0, 4, 4, 0, 2, 0, 2, 4, 4, 0, 2, 0, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 3, 3, 1, 1, 1, 1, 3, 2, 2, 2, 3, 1, 1, 1, 5, 1, 5, 5, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 7, 7, 1, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 9, 1, 9, 9, 1, 1, 1, 1, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 11, 1, 11, 11, 1, 1, 1, 1, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 13, 1, 13, 13, 1, 1, 1, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 15, 1, 15, 15, 1, 1, 1, 1, 2, 15, 15, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 17, 1, 17, 17, 1, 2, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 4, 4, 0, 2, 0, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 3, 1, 2, 3, 3, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1 ]
[ 465, 2322, 32, 983, 203, 465, 281, 4071, 32, 85, 1356, 203, 465, 5237, 203, 465, 11685, 203, 1270, 44, 284, 1188, 225, 581, 81, 2851, 81, 1664, 203, 7343, 29986, 44, 284, 3097, 203, 3648, 81, 1648, 81, 6949, 280, 225, 34, 106, 34, 36, 34, 40, 34, 34, 34, 34, 203, 581, 81, 1356, 81, 983, 280, 1665, 203, 1270, 44, 284, 1188, 1156, 581, 81, 1356, 81, 983, 284, 225, 581, 81, 1356, 81, 983, 280, 1156, 581, 81, 1356, 81, 983, 32, 1356, 81, 983, 203, 7343, 29986, 44, 284, 3097, 203, 2121, 81, 1356, 81, 983, 280, 2322, 32, 23407, 440, 10508, 81, 20017, 81, 4065, 657, 203, 325, 4533, 81, 1356, 81, 983, 44, 284, 415, 2322, 32, 983, 32, 34103, 26, 4533, 81, 1356, 81, 983, 8063, 291, 225, 581, 81, 1356, 81, 983, 280, 2322, 32, 23407, 440, 10508, 81, 20017, 81, 4065, 657, 284, 813, 44, 291, 5237, 32, 8228, 32, 1821, 440, 5711, 44, 10572, 2677, 516, 4460, 81, 20017, 81, 4065, 4981, 372, 2979, 12724, 3362, 6069, 101, 429, 10302, 20, 904, 4533, 81, 1356, 81, 983, 27, 203, 325, 225, 581, 81, 1356, 81, 983, 44, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 225, 581, 81, 1356, 81, 983, 8063, 291, 225, 581, 81, 1356, 81, 983, 280, 1665, 203, 85, 4071, 32, 85, 1356, 32, 581, 81, 1356, 81, 983, 280, 225, 581, 81, 1356, 81, 983, 203, 325, 5237, 32, 6949, 1648, 333, 2129, 81, 1648, 81, 6949, 44, 284, 3636, 3268, 440, 10508, 4865, 7171, 821, 6225, 1503, 225, 36, 32, 40, 432, 4865, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 2, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 5, 5, 5, 5, 5, 1, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 5, 6, 6, 6, 1, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 3, 6, 7, 5, 6, 5, 5, 6, 6, 6, 6, 5, 3, 3, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 3, 3, 4, 4, 4, 9, 10, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 10, 10, 8, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 3, 4, 7, 8, 6, 7, 6, 6, 7, 7, 7, 7, 7, 6, 3, 3, 7, 7, 7, 7, 7, 6, 6, 0, 5, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 3, 4, 4, 2, 2, 3, 3, 3, 3, 1, 1, 1, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 7, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 9, 9, 9, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 10, 10, 1, 1, 1, 1, 1, 10, 10, 10, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 12, 12, 0, 2, 2, 1, 1, 2, 2, 2, 2, 12, 12, 12, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 6382, 81, 7241, 203, 4021, 81, 2310, 44, 31580, 6382, 21196, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 38, 20, 203, 2310, 44, 275, 429, 2648, 461, 3345, 9537, 21196, 328, 312, 6504, 3902, 4706, 32, 26683, 372, 390, 26, 4205, 9313, 1487, 27, 461, 390, 26, 4205, 9313, 10194, 547, 275, 429, 15450, 372, 322, 5035, 432, 537, 21196, 330, 19441, 81, 678, 370, 600, 15808, 3677, 10293, 432, 322, 706, 30, 1510, 438, 1615, 1654, 1568, 328, 7062, 9792, 372, 894, 415, 312, 9313, 1401, 5372, 32, 1670, 330, 19441, 81, 678, 438, 646, 5024, 30, 1615, 312, 9313, 1098, 646, 526, 4459, 1568, 7351, 322, 390, 26, 5538, 27, 2470, 438, 739, 32, 275, 429, 19293, 372, 21196, 884, 13555, 810, 15255, 322, 9313, 461, 6892, 561, 4056, 32, 203, 2184, 44, 334, 706, 44, 284, 3048, 44, 397, 429, 886, 786, 432, 322, 9313, 32, 11526, 1412, 1603, 438, 390, 26, 2689, 547, 284, 827, 44, 596, 334, 706, 81, 297, 81, 84, 40, 38, 44, 284, 3048, 44, 397, 429, 1670, 739, 372, 390, 26, 1508, 471, 322, 706, 438, 20968, 372, 526, 3772, 40, 38, 11830, 461, 1098, 526, 291, 17355, 2670, 3998, 1654, 32, 397, 429, 2614, 793, 5298, 390, 26, 605, 471, 561, 438, 6085, 372, 4986, 561, 3772, 40, 38, 11830, 461, 1207, 561, 291, 526, 17355, 810, 458, 2470, 32, 284, 827, 44, 1560, 284, 1244, 44, 1289, 284, 1503, 81, 11043, 44, 313, 36, 32, 42, 20, 334, 6492, 44, 284, 3048, 44, 397, 429, 313, 51, 1992, 432, 1202, 44, 853, 6089, 706, 30, 2154, 4335, 322, 439, 26, 678, 27, 461, 439, 26, 853, 27, 884, 2799, 372, 526, 312, 802, 3107, 397, 429, 1670, 537, 6089, 706, 438, 3943, 30, 556, 4905, 6089, 706, 438, 8844, 30, 322, 9313, 1098, 526, 4459, 810, 15255, 561, 461, 6892, 561, 4056, 32, 284, 827, 44, 5436, 334, 7650, 44, 284, 3048, 44, 397, 429, 4417, 623, 1603, 390, 26, 2689, 27, 372, 5182, 3345, 461, 38849, 600, 4905, 9313, 32, 397, 429, 1670, 439, 26, 1508, 471, 600, 4905, 9313, 1098, 526, 14171, 30, 4444, 415, 561, 1401, 646, 5372, 32, 284, 827, 44, 1560, 284, 1244, 44, 1289, 334, 636, 44, 284, 3048, 44, 397, 429, 886, 636, 432, 322, 9313, 32, 284, 827, 44, 596, 284, 2129, 44, 9155, 334, 1603, 44, 284, 3048, 44, 397, 429, 1756, 372, 390, 26, 2689, 471, 415, 322, 9313, 1395, 2307, 30, 461, 390, 26, 3596, 304, 471, 415, 561, 1395, 646, 32, 284, 827, 44, 596, 284, 1244, 44, 5024, 284, 16682, 44, 397, 429, 40118, 397, 429, 5024, 203, 9971, 81, 10270, 81, 9854 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 465, 13092, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 298, 385, 106, 32, 1271, 696, 1188, 337, 2593, 81, 3922, 30, 3185, 81, 2593, 30, 3909, 81, 2543, 81, 6933, 203, 1070, 298, 385, 106, 32, 1271, 696, 32, 2425, 1188, 2678, 96, 203, 1070, 298, 385, 106, 32, 1271, 696, 32, 2593, 16652, 1188, 3772, 65, 2593, 1308, 203, 1070, 4377, 2243, 1040, 32, 3613, 1188, 667, 81, 3613, 30, 41740, 81, 3613, 30, 773, 81, 3613, 203, 823, 11616, 65, 2593, 2825, 26, 1473, 711, 284, 665, 561, 81, 2758, 1069, 81, 29903, 81, 12524, 81, 7594, 26, 784, 30, 9214, 30, 42701, 81, 2593, 81, 3651, 711, 291, 5592, 81, 3651, 280, 2971, 972, 32, 41243, 26, 3986, 27, 291, 1201, 5592, 81, 3651, 610, 42701, 81, 2593, 81, 3651, 203, 823, 11616, 4480, 4397, 26, 1473, 711, 284, 665, 561, 81, 7668, 81, 1271, 696, 81, 27200, 81, 3922, 81, 452, 81, 2208, 81, 2593, 26, 291, 630, 30, 4395, 81, 2593, 81, 3651, 30, 645, 800, 30, 4395, 81, 1271, 696, 81, 3922, 284, 8063, 291, 1994, 280, 3185, 81, 2593, 26, 3613, 81, 2593, 81, 3651, 27, 291, 645, 800, 32, 862, 81, 10910, 81, 8232, 81, 1793, 26, 3613, 81, 2593, 81, 3651, 30, 4395, 81, 1271, 696, 81, 3922, 27, 291, 1201, 1994, 438, 645, 800, 32, 601, 81, 853, 284, 665, 561, 81, 13461, 483, 81, 452, 81, 2208, 81, 3651, 26, 784, 30, 5592, 81, 3651, 711, 291, 3185, 81, 2593, 26, 2593, 81, 3651, 27, 284, 665, 1273, 81, 7494, 101, 81, 9941, 81, 510, 14124, 81, 13636, 81, 297, 81, 1347, 81, 8644, 81, 24050, 26, 784, 711, 291, 2979, 81, 1325, 81, 4214, 280, 36335, 2593, 1503, 347, 35, 32, 34, 20, 27933, 347, 7134, 35254, 25, 291, 17120, 81, 4214, 280, 36335, 2593, 1503, 347, 35, 32, 34, 20, 7328, 347, 6261, 31, 42, 20, 27933, 347, 7134, 35254, 25, 291, 5592, 81, 1548, 280, 3778, 3986, 772, 1632, 48, 88, 13398, 13398, 84, 37040, 377, 1632, 855, 3986, 5844, 291, 588, 1044, 647, 3185, 81, 2593, 26, 2593, 81, 1548, 27, 291, 588, 312, 647, 5592, 81, 878, 280, 5461, 101, 78, 96, 23, 101, 20, 904, 308, 3780, 81, 1325, 81, 4214, 30, 5592, 81, 1548, 27, 291, 3185, 81, 2593, 26, 2593, 81, 878, 27, 291, 588, 323, 647, 5592, 81, 878, 280, 5461, 101, 78, 96, 23, 101, 20, 904, 308, 1325, 81, 4214, 30, 5592, 81, 1548, 27, 291, 623, 13092, 32, 16708, 26, 22239, 711, 324, 3185, 81, 2593, 26, 2593, 81, 878, 27, 203, 823, 11616, 4329, 3402, 1308, 1339, 26, 1473, 711, 284, 665, 561, 81, 18638, 307, 81, 26518, 81, 19692, 81, 823, 81, 6309, 318, 81, 979, 81, 14256, 81, 2142, 26, 784, 30, 5592, 81, 3651, 711, 291, 3909, 81, 2543, 81, 6933, 440, 83, 44, 3986, 392, 390, 675, 41722, 24851, 27, 291, 9214, 280, 2971, 972, 32, 1070, 800, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 3, 4, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 7, 6, 6, 9, 8, 9, 8, 9, 8, 4, 4, 5, 7, 7, 6, 6, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 3, 3, 6, 6, 8, 8, 8, 9, 9, 9, 9, 9, 8, 4, 4, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 6, 6, 8, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 7, 7, 7, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 10, 10, 10, 10, 10, 10, 5, 9, 9, 9, 9, 10, 10, 10, 10, 10, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 7, 8, 8, 8, 8, 4, 7, 7, 6, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 2, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 0, 1, 2, 2, 1, 4, 4, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 5, 2, 2, 7, 7, 7, 7, 7, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 2, 1, 1, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 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, 6, 6, 4, 7, 0, 0, 2, 2, 1, 1, 7, 0, 0, 0, 0, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 9, 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, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 3, 3, 3, 3, 4, 0, 0, 0, 0, 0, 2, 2 ]
[ 1070, 35094, 1188, 7360, 203, 1070, 4527, 1188, 1630, 4823, 81, 371, 619, 13503, 203, 1070, 4527, 1188, 32232, 203, 1070, 2677, 1188, 7329, 30, 773, 30, 438, 869, 203, 465, 31074, 619, 561, 203, 1070, 16398, 1188, 537, 30, 3089, 30, 2181, 30, 438, 12729, 203, 589, 316, 1147, 81, 7101, 26, 102, 30, 309, 711, 284, 442, 561, 32, 20464, 26, 9865, 26, 268, 1147, 30, 309, 47, 101, 471, 273, 27, 203, 589, 316, 1147, 81, 7288, 2740, 1132, 711, 284, 442, 8825, 26, 268, 1147, 81, 7101, 2740, 1132, 490, 203, 589, 316, 1147, 81, 668, 2740, 1132, 711, 284, 442, 1149, 26, 268, 1147, 81, 7101, 2740, 1132, 490, 203, 589, 316, 1147, 81, 2665, 26, 86, 30, 309, 711, 284, 442, 5436, 1162, 93, 30, 316, 1147, 26, 104, 30, 309, 490, 436, 831, 30, 354, 328, 343, 32, 3028, 1157, 203, 268, 1147, 81, 7147, 280, 301, 291, 8825, 44, 316, 1147, 81, 7288, 30, 291, 1149, 44, 225, 316, 1147, 81, 668, 30, 291, 5436, 44, 225, 316, 1147, 81, 2665, 30, 291, 320, 203, 268, 1147, 81, 38003, 81, 668, 280, 1605, 203, 589, 316, 1147, 26, 87, 30, 309, 711, 284, 415, 438, 869, 26, 87, 711, 291, 442, 316, 1147, 26, 101, 77, 87, 614, 309, 27, 415, 484, 328, 309, 813, 484, 284, 4348, 827, 26, 87, 27, 328, 316, 1147, 81, 7147, 44, 291, 442, 316, 1147, 81, 7147, 77, 681, 26, 87, 5149, 87, 30, 309, 27, 284, 4348, 646, 438, 12729, 26, 87, 711, 291, 537, 81, 520, 280, 316, 1147, 26, 520, 26, 87, 471, 309, 27, 291, 537, 81, 1132, 280, 316, 1147, 26, 1132, 26, 87, 471, 309, 27, 291, 442, 537, 26, 890, 81, 520, 30, 537, 81, 1132, 27, 284, 813, 44, 291, 442, 484, 203, 589, 707, 1147, 81, 4948, 26, 103, 30, 354, 30, 309, 711, 284, 415, 2069, 26, 103, 27, 863, 2069, 26, 104, 711, 291, 442, 3177, 284, 436, 17296, 30, 38950, 328, 8529, 26, 103, 30, 354, 711, 16189, 309, 280, 707, 1147, 26, 16824, 30, 38950, 30, 309, 27, 291, 415, 309, 438, 3177, 44, 324, 442, 3177, 284, 442, 309, 203, 589, 707, 1147, 81, 2665, 26, 103, 30, 354, 30, 309, 711, 284, 415, 2069, 26, 103, 27, 863, 2069, 26, 104, 711, 291, 442, 3177, 284, 436, 1202, 30, 1044, 695, 328, 1044, 32, 40957, 2262, 291, 415, 1202, 646, 328, 354, 44, 324, 442, 3177, 291, 309, 280, 707, 1147, 26, 103, 695, 30, 354, 77, 678, 614, 309, 27, 291, 415, 309, 438, 3177, 44, 324, 442, 3177, 284, 442, 309, 203, 311, 1147, 81, 7147, 280, 301, 291, 308, 7288, 30, 8825, 711, 707, 1147, 81, 4948, 30, 291, 308, 668, 30, 1149, 711, 261, 707, 1147, 81, 4948, 30, 291, 308, 2665, 30, 5436, 711, 261, 707, 1147, 81, 2665, 30, 291, 320, 203, 589, 707, 1147, 26, 103, 30, 354, 30, 309, 711, 10065, 1044, 280, 13503, 26, 103, 30, 309, 27, 284, 354, 280, 13503, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 5, 7, 7, 8, 8, 7, 7, 8, 9, 7, 5, 5, 0, 1, 1, 2, 2, 2, 2, 4, 2, 1, 1, 3, 5, 7, 7, 7, 7, 7, 9, 7, 0, 1, 1, 2, 2, 2, 2, 4, 2, 1, 1, 3, 5, 7, 7, 7, 7, 7, 9, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 7, 6, 6, 8, 8, 9, 8, 8, 8, 5, 6, 7, 7, 6, 6, 8, 9, 8, 0, 3, 3, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 4, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 5, 6, 5, 3, 3, 5, 8, 8, 10, 9, 10, 9, 8, 8, 6, 6, 7, 7, 6, 6, 3, 3, 4, 7, 8, 7, 5, 5, 6, 6, 6, 4, 4, 4, 6, 9, 9, 9, 8, 10, 10, 11, 10, 9, 8, 8, 8, 3, 3, 4, 5, 7, 7, 8, 7, 4, 4, 8, 8, 7, 7, 9, 9, 11, 11, 12, 11, 9, 9, 5, 5, 8, 8, 7, 7, 9, 9, 11, 11, 12, 11, 9, 9, 5, 5, 6, 8, 9, 9, 9, 8, 8, 9, 9, 8, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 6, 7, 6, 4, 4, 6, 7, 6, 3, 3, 5, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 5, 5, 3, 3, 6, 6, 8, 8, 9, 8, 8, 8, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 6, 7, 6, 4, 4, 6, 7, 6, 3, 3, 5, 2, 2, 3, 4, 4, 5, 3, 3, 5, 6, 5, 3, 3, 5, 6, 6, 6, 5, 5, 5, 7, 4, 4, 6, 6, 8, 8, 9, 9, 8, 8, 9, 10, 9, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 5, 5, 5, 4, 5, 5, 5, 3, 3, 3, 6, 5, 5, 5, 4, 4, 5, 5, 5, 3, 3, 3, 6, 5, 5, 5, 4, 4, 5, 5, 5, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 6, 6, 2, 2, 4, 4, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 3, 3, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 4, 4, 1, 1, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 6, 6, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 9, 9, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 5, 5, 5, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 1, 2, 1, 2, 2, 2, 12, 12, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 4, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 1, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 6, 6, 6, 0, 0, 13, 13, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 13, 13, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 14, 14, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 14, 14, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 3, 1, 1, 5, 5, 2, 1, 1, 2, 2, 2, 0, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 5, 5, 2, 2, 2, 2, 2, 2, 0, 16, 16, 1, 2, 1, 2, 2, 2, 2, 2, 16, 16, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1 ]
[ 1070, 8527, 32, 12023, 32, 1286, 2516, 32, 4151, 1188, 12671, 13343, 30, 12671, 12338, 203, 1070, 8527, 32, 12023, 32, 1286, 2516, 32, 3378, 1188, 38718, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 341, 279, 19566, 81, 1262, 32, 1262, 32, 3378, 1188, 3270, 13976, 203, 1070, 341, 279, 19566, 81, 1262, 32, 20644, 32, 35312, 1188, 308, 284, 6287, 1097, 1572, 30, 284, 6287, 69, 3075, 1572, 30, 284, 6287, 69, 3075, 1078, 10834, 1572, 30, 203, 27, 203, 823, 22148, 13976, 26, 3378, 32, 1243, 711, 284, 1795, 81, 681, 280, 4549, 32, 13343, 26, 267, 81, 2560, 47, 3378, 32, 28781, 30, 372, 47, 14264, 27, 284, 1300, 81, 314, 280, 4549, 32, 17991, 30400, 346, 284, 4576, 280, 12671, 13343, 463, 1286, 81, 681, 370, 330, 1473, 81, 314, 683, 284, 443, 11985, 44, 291, 5547, 280, 2933, 203, 823, 6287, 1097, 26, 558, 13976, 30, 22148, 13976, 711, 284, 786, 280, 4549, 32, 3670, 1176, 346, 284, 4684, 280, 6287, 1097, 1572, 346, 284, 443, 11985, 44, 291, 5799, 81, 36202, 280, 2726, 426, 370, 330, 1286, 81, 681, 370, 330, 1473, 81, 314, 683, 203, 823, 6287, 69, 3075, 26, 5504, 13976, 711, 284, 7918, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 27, 284, 786, 280, 4549, 32, 7697, 1176, 26, 1449, 81, 17980, 47, 35, 35, 30, 10245, 81, 15778, 47, 38, 30, 744, 47, 1815, 30, 11771, 47, 1815, 27, 284, 5119, 81, 853, 280, 4549, 32, 7697, 1176, 26, 291, 1769, 81, 17980, 47, 35, 35, 30, 10245, 81, 15778, 47, 38, 30, 744, 47, 1815, 30, 11771, 47, 1815, 284, 829, 284, 4684, 280, 6287, 69, 3075, 1572, 346, 284, 443, 11985, 44, 291, 5799, 81, 36202, 280, 2726, 8438, 370, 330, 1286, 81, 681, 370, 330, 1473, 81, 314, 683, 203, 823, 6287, 69, 3075, 1078, 10834, 26, 5504, 13976, 711, 284, 7918, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 27, 284, 6341, 280, 4549, 32, 30400, 346, 284, 1603, 280, 4549, 32, 39471, 26, 291, 1244, 47, 2700, 30, 3049, 81, 878, 11645, 463, 2797, 1603, 438, 2933, 2869, 35756, 3304, 683, 284, 829, 284, 4684, 280, 6287, 69, 3075, 1078, 10834, 1572, 346, 284, 443, 11985, 44, 291, 5799, 81, 36202, 280, 2726, 5561, 370, 330, 8438, 370, 330, 1286, 81, 681, 370, 330, 1473, 81, 314, 683, 203, 823, 38489, 1243, 13976, 26, 3378, 32, 1243, 711, 284, 443, 11985, 44, 291, 5547, 280, 2933, 284, 309, 3075, 81, 3028, 280, 12671, 12338, 463, 20644, 32, 2291, 69, 3075, 683, 284, 20317, 81, 3028, 280, 12671, 12338, 463, 20644, 32, 2291, 1097, 683, 284, 1603, 81, 3028, 280, 12671, 12338, 463, 20644, 32, 2291, 69, 3075, 1078, 10834, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 9, 8, 9, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 4, 4, 6, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 2, 2, 3, 3, 3, 3, 6, 6, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 2, 2, 4, 4, 6, 7, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 8, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 6, 6, 8, 8, 7, 8, 8, 6, 6, 8, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 7, 8, 6, 6, 8, 8, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 3, 3, 3, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 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 ]
[ 0, 0, 1, 2, 1, 4, 4, 1, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 6, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 0, 0, 0, 1, 2, 1, 4, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 3, 3, 3, 3, 0, 0, 0, 7, 7, 1, 2, 1, 1, 2, 2, 3, 2, 7, 7, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 8, 8, 1, 1, 2, 1, 1, 2, 8, 8, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 2, 1, 1, 2, 9, 9, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 10, 10, 1, 1, 2, 0, 1, 2, 2, 10, 10, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 589, 18399, 26, 1366, 30, 4719, 711, 284, 4240, 280, 1477, 284, 5436, 81, 1449, 280, 2149, 284, 2218, 4240, 2511, 4719, 44, 291, 1550, 280, 739, 346, 291, 1451, 280, 4240, 291, 415, 4240, 610, 225, 35, 44, 324, 1451, 280, 225, 36, 291, 2218, 1451, 2377, 225, 35, 44, 324, 415, 1451, 610, 225, 35, 44, 400, 1769, 81, 1516, 280, 629, 26, 1449, 26, 1700, 490, 400, 1626, 324, 4348, 1451, 904, 225, 36, 610, 225, 34, 44, 400, 1451, 14374, 225, 36, 400, 1550, 32, 669, 26, 2171, 27, 324, 813, 44, 400, 1451, 280, 308, 2171, 319, 225, 37, 27, 474, 225, 35, 400, 1550, 32, 669, 26, 410, 26, 2171, 490, 291, 415, 4240, 610, 225, 35, 44, 324, 5436, 81, 1449, 77, 35, 79, 280, 225, 34, 291, 813, 44, 324, 5436, 81, 1449, 77, 2409, 79, 280, 1769, 81, 1516, 291, 4240, 1454, 225, 35, 284, 442, 5436, 81, 1449, 203, 589, 30698, 26, 1366, 30, 4719, 711, 284, 4240, 280, 1477, 284, 5436, 81, 1322, 280, 301, 35, 44, 225, 34, 111, 284, 2218, 4240, 2511, 4719, 44, 291, 1451, 280, 4240, 291, 7515, 280, 739, 346, 291, 2218, 1451, 848, 225, 35, 44, 324, 415, 1451, 904, 225, 36, 610, 225, 34, 44, 400, 1451, 14374, 225, 36, 400, 7515, 32, 669, 26, 410, 26, 2171, 490, 324, 813, 44, 400, 1451, 280, 308, 2171, 319, 225, 37, 27, 474, 225, 35, 400, 7515, 32, 669, 26, 410, 26, 2171, 490, 291, 5436, 81, 1322, 77, 2409, 79, 280, 2069, 26, 14951, 27, 291, 4240, 1454, 225, 35, 284, 442, 5436, 81, 1322, 203, 589, 16962, 26, 1366, 30, 4719, 30, 711, 284, 5436, 81, 1322, 280, 30698, 26, 1366, 30, 4719, 27, 284, 5436, 81, 1449, 280, 18399, 26, 1366, 30, 4719, 27, 284, 1158, 81, 2665, 280, 2149, 284, 436, 1202, 328, 308, 2665, 81, 1322, 32, 3494, 346, 523, 5436, 81, 1449, 32, 3494, 22805, 291, 415, 1202, 328, 5436, 81, 1322, 44, 1158, 81, 2665, 32, 37329, 26, 678, 30, 36670, 1689, 26, 2665, 81, 1322, 77, 678, 1130, 291, 415, 1202, 328, 5436, 81, 1449, 44, 1158, 81, 2665, 32, 37329, 26, 678, 30, 36670, 1689, 26, 2665, 81, 1449, 77, 678, 1130, 284, 442, 1158, 81, 2665, 203, 1366, 81, 1516, 280, 629, 26, 1131, 440, 6545, 322, 1451, 372, 1477, 821, 29450, 203, 4048, 81, 1516, 280, 629, 26, 1131, 440, 6545, 322, 1451, 372, 943, 821, 29450, 203, 1772, 81, 668, 280, 16962, 26, 1366, 81, 1516, 30, 4719, 81, 1516, 27, 203, 1358, 81, 841, 280, 1509, 440, 2555, 844, 2637, 372, 4166, 322, 739, 432, 2078, 49, 308, 107, 33, 96, 27, 7788, 203, 325, 4166, 81, 841, 610, 313, 107, 563, 284, 4870, 280, 1509, 440, 6545, 322, 636, 432, 322, 803, 372, 4131, 372, 44, 7788, 474, 4939, 4700, 20, 284, 4240, 280, 1477, 81, 1516, 284, 436, 3104, 30, 3857, 328, 1672, 81, 668, 32, 2810, 2262, 291, 803, 280, 2156, 26, 3607, 30, 313, 83, 657, 291, 3104 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 4, 4, 6, 6, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 8, 9, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 8, 8, 9, 7, 7, 7, 11, 11, 10, 10, 12, 14, 14, 15, 14, 8, 8, 7, 7, 8, 10, 10, 11, 9, 9, 10, 8, 8, 8, 11, 11, 12, 9, 9, 12, 13, 12, 13, 12, 7, 7, 8, 8, 8, 11, 11, 15, 14, 14, 15, 13, 12, 12, 13, 9, 9, 12, 13, 12, 14, 14, 15, 14, 4, 4, 5, 6, 6, 7, 5, 5, 5, 10, 10, 9, 10, 9, 8, 8, 9, 5, 5, 6, 6, 6, 11, 11, 10, 11, 10, 9, 9, 10, 10, 4, 4, 6, 6, 7, 2, 2, 3, 4, 4, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 7, 6, 6, 7, 5, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 4, 4, 6, 6, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 9, 9, 10, 8, 8, 9, 7, 7, 7, 10, 10, 11, 8, 8, 11, 12, 11, 13, 13, 14, 13, 7, 7, 8, 8, 8, 11, 11, 15, 14, 14, 15, 13, 12, 12, 13, 9, 9, 12, 13, 12, 14, 14, 15, 14, 4, 4, 8, 8, 7, 8, 7, 6, 6, 8, 9, 8, 4, 4, 6, 6, 7, 2, 2, 3, 4, 4, 0, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 3, 3, 8, 8, 8, 7, 8, 7, 5, 5, 8, 8, 7, 8, 7, 3, 3, 5, 6, 6, 7, 7, 5, 5, 12, 12, 11, 12, 11, 12, 11, 11, 10, 9, 11, 11, 11, 10, 11, 10, 4, 4, 5, 6, 6, 7, 7, 5, 5, 12, 12, 11, 12, 11, 12, 11, 11, 10, 9, 11, 11, 11, 10, 11, 10, 2, 2, 3, 4, 4, 0, 3, 3, 3, 2, 2, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 0, 3, 3, 3, 2, 2, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 4, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 7, 2, 2, 4, 4, 5, 5, 2, 2, 3, 4, 4, 3, 3, 6, 6, 5, 6, 5, 3, 3, 6, 6, 8, 9, 8, 8, 10, 10, 4, 4 ]
[ 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 1, 3, 3, 0, 0, 3, 3, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 3, 3, 3, 1, 1, 2, 3, 3, 3, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 3, 3, 0, 0, 4, 0, 0, 2, 1, 1, 2, 4, 4, 4, 0, 0, 2, 3, 3, 0, 2, 1, 1, 1, 0, 0, 5, 5, 5, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 3, 3, 4, 1, 1, 2, 4, 4, 4, 0, 0, 0, 2, 0, 0, 0, 2, 4, 4, 4, 4, 4, 0, 0, 0, 2, 0, 0, 0, 2, 2, 3, 3, 0, 0, 2, 4, 4, 3, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 3, 3, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 3, 3, 0, 2, 1, 0, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 2, 4, 4, 3, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 3, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 3, 3, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 5, 5, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 0, 0, 1, 1, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 2, 2, 3, 3, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 5, 5 ]
[ 465, 16672, 203, 465, 2322, 203, 465, 3995, 203, 1070, 7744, 1188, 1245, 35, 34, 203, 465, 18414, 32, 5136, 619, 8616, 203, 465, 5589, 32, 11514, 32, 85, 33106, 619, 281, 33106, 203, 465, 5589, 32, 8311, 619, 6552, 203, 465, 5589, 32, 8311, 32, 6917, 81, 13261, 619, 19302, 81, 13261, 203, 465, 42188, 32, 2304, 619, 354, 2304, 203, 1070, 8482, 2190, 74, 1188, 15591, 3976, 203, 1070, 5589, 32, 2837, 4943, 1188, 9870, 30, 8056, 203, 1070, 4549, 32, 1902, 81, 1160, 1188, 319, 203, 1070, 706, 32, 9692, 750, 1188, 2648, 34458, 203, 3922, 280, 16672, 32, 26633, 346, 203, 3922, 32, 669, 81, 2669, 12664, 2901, 282, 1975, 53, 370, 2129, 47, 1815, 30, 3049, 1057, 983, 372, 38644, 5890, 683, 203, 3922, 32, 669, 81, 2669, 12664, 2901, 282, 1975, 69, 370, 2129, 47, 1815, 30, 3049, 1057, 983, 372, 39913, 5890, 683, 203, 3922, 32, 669, 81, 2669, 12664, 17733, 370, 827, 47, 410, 30, 3049, 1057, 2171, 432, 706, 7742, 20441, 370, 1244, 47, 38, 27, 203, 3922, 32, 669, 81, 2669, 12664, 4432, 1250, 370, 827, 47, 410, 30, 1244, 47, 35, 40, 30, 3049, 1057, 1131, 5254, 1334, 683, 203, 3922, 32, 669, 81, 2669, 12664, 893, 1250, 370, 827, 47, 410, 30, 1244, 47, 36, 39, 40, 30, 3049, 1057, 1382, 2384, 517, 1861, 432, 322, 1509, 1778, 372, 3984, 683, 203, 3922, 32, 669, 81, 2669, 12664, 6306, 370, 827, 47, 410, 30, 1244, 47, 35, 30, 3049, 1057, 6306, 12780, 13472, 683, 203, 3922, 32, 669, 81, 2669, 12664, 96, 1731, 370, 827, 47, 410, 30, 1244, 47, 41, 34, 34, 30, 3049, 1057, 2171, 432, 22530, 372, 5683, 436, 683, 203, 3922, 32, 669, 81, 2669, 12664, 1140, 88, 370, 827, 47, 410, 30, 1244, 47, 40, 38, 27, 203, 3922, 32, 669, 81, 2669, 12664, 1442, 88, 370, 827, 47, 410, 30, 1244, 47, 40, 38, 27, 203, 3922, 32, 669, 81, 2669, 12664, 6917, 57, 370, 827, 47, 1808, 30, 1244, 47, 34, 32, 34, 34, 34, 35, 30, 3049, 1057, 11218, 7692, 30, 1244, 47, 34, 32, 34, 34, 34, 35, 683, 203, 3922, 32, 669, 81, 2669, 12664, 6917, 54, 370, 827, 47, 1808, 30, 1244, 47, 34, 32, 34, 34, 34, 35, 30, 3049, 1057, 11218, 7692, 30, 1244, 47, 34, 32, 34, 34, 34, 35, 683, 203, 3922, 32, 669, 81, 2669, 12664, 5992, 35, 370, 827, 47, 1808, 30, 1244, 47, 34, 32, 39, 30, 3049, 1057, 5992, 35, 436, 1544, 404, 32, 1244, 47, 34, 32, 39, 683, 203, 3922, 32, 669, 81, 2669, 12664, 9615, 370, 2125, 1057, 2157, 81, 1508, 370, 3049, 1057, 4898, 101, 16601, 683, 203, 3922, 32, 669, 81, 2669, 12664, 1299, 57, 370, 1244, 26409, 3049, 347, 983, 372, 3706, 57, 308, 452, 4036, 7682, 14451, 203, 3922, 32, 669, 81, 2669, 12664, 1299, 54, 370, 1244, 26409, 3049, 347, 983, 372, 3706, 54, 308, 452, 4036, 7682, 14451, 203, 3922, 32, 669, 81, 2669, 12664, 8311, 370, 2125, 1057, 2157, 81, 1508 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 4, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 4, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 4, 5, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 3, 3, 4, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 6, 6, 6, 6, 3, 4, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 4, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 4, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 2, 1, 1, 0, 5, 5, 0, 2, 0, 4, 4, 1, 1, 2, 0, 6, 6, 0, 2, 1, 1, 0, 7, 7, 0, 2, 0, 4, 4, 4, 1, 1, 2, 2, 0, 8, 8, 0, 2, 1, 1, 2, 0, 9, 9, 0, 0, 9, 9, 0, 0, 10, 10, 1, 2, 2, 10, 10, 10, 10, 0, 11, 11, 1, 2, 2, 2, 11, 11, 0, 12, 12, 1, 2, 2, 12, 12, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 2, 1, 1, 7, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 2, 2, 2, 2, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 2, 2, 2, 2, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1 ]
[ 1070, 29947, 1188, 4705, 203, 823, 6667, 280, 428, 284, 313, 3786, 2037, 546, 2123, 46573, 2037, 7131, 1177, 392, 284, 313, 23560, 6633, 2037, 4865, 2037, 225, 36, 392, 284, 313, 8294, 2037, 3859, 15612, 2037, 38585, 392, 203, 79, 203, 5522, 26, 284, 636, 1057, 3912, 481, 106, 969, 370, 284, 1503, 1057, 34, 32, 34, 32, 37, 32, 35, 370, 284, 7599, 11414, 1586, 481, 106, 969, 2188, 284, 1984, 1057, 641, 555, 28199, 32, 1088, 33, 286, 1523, 1384, 33, 1586, 481, 106, 969, 370, 284, 3541, 1057, 6675, 370, 284, 43397, 47, 823, 6667, 30, 284, 4081, 1057, 286, 1523, 1384, 370, 284, 4081, 81, 1935, 1057, 3592, 50, 286, 1523, 1384, 32, 508, 370, 284, 3048, 1057, 1045, 4808, 2145, 3022, 1471, 28763, 225, 36, 32, 34, 30, 3493, 92, 3604, 30, 461, 4428, 43139, 6418, 284, 4705, 81, 13966, 11414, 12408, 31, 10340, 2188, 284, 2305, 81, 1320, 81, 605, 280, 2933, 30, 284, 2443, 81, 13966, 6020, 291, 330, 41204, 7148, 35, 32, 34, 32, 43, 370, 291, 330, 48058, 36, 39, 40, 93, 35, 379, 34, 32, 35, 35, 370, 291, 313, 2400, 92, 3604, 379, 34, 32, 40, 32, 37, 32, 35, 392, 291, 313, 28206, 7148, 34, 32, 35, 34, 32, 34, 392, 291, 313, 28206, 31, 3615, 392, 291, 313, 28206, 31, 26298, 392, 291, 313, 28206, 31, 2400, 92, 3604, 7148, 34, 32, 35, 32, 35, 32, 38, 392, 291, 313, 20662, 1260, 3968, 20, 284, 2505, 284, 3312, 81, 1981, 11414, 12408, 370, 330, 12408, 31, 12626, 2188, 284, 35948, 81, 1981, 7814, 1832, 563, 3037, 28206, 31, 13170, 1446, 835, 284, 3414, 81, 3953, 280, 1524, 284, 428, 4466, 81, 8121, 79, 284, 1487, 496, 280, 1487, 81, 496, 44, 1297, 81, 496, 284, 1524, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 7, 7, 7, 7, 7, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 3, 3, 4, 5, 5, 3, 3, 3, 4, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 7, 7, 7, 7, 3, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 3, 3, 5, 5, 4, 7, 7, 5, 7, 7, 7, 7, 3, 3, 5, 5, 4, 8, 8, 6, 9, 9, 9, 9, 5, 3, 3, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 9, 1, 2, 1, 1, 11, 2, 2, 1, 1, 1, 13, 1, 1, 1, 2, 1, 1, 0, 0, 15, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 19, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 21, 21, 1, 1, 1, 0, 0, 23, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 25, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 27, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 29, 29, 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 ]
[ 348, 979, 349, 203, 77, 106, 79, 225, 35, 37, 44, 39, 43, 225, 36, 34, 35, 41, 31, 34, 41, 31, 37, 35, 225, 26349, 9657, 9967, 346, 13741, 328, 4865, 284, 1678, 555, 16030, 32, 508, 33, 6964, 33, 41, 34, 35, 42, 34, 36, 33, 6893, 31, 1409, 31, 91, 31, 4526, 31, 83, 31, 800, 31, 33660, 31, 2958, 31, 687, 31, 266, 31, 2958, 284, 225, 11798, 3939, 3202, 284, 8217, 1672, 687, 280, 330, 1216, 2884, 7656, 5788, 657, 25, 284, 8217, 2299, 26, 1772, 687, 27, 284, 17964, 5788, 284, 8217, 284, 886, 28699, 432, 14116, 312, 667, 645, 4674, 667, 438, 8967, 619, 2738, 994, 299, 44, 284, 1678, 555, 16030, 32, 508, 33, 6964, 33, 35, 38, 36, 40, 35, 38, 41, 38, 33, 6893, 31, 1409, 31, 91, 31, 1821, 31, 83, 31, 1126, 31, 6939, 31, 3255, 31, 23259, 31, 1126, 284, 4865, 16852, 107, 8639, 667, 9254, 284, 1913, 555, 5224, 32, 1729, 6161, 32, 1299, 33, 934, 33835, 1225, 91, 35, 34, 36, 37, 33, 4066, 33, 3958, 33, 38, 39, 36, 40, 43, 37, 38, 37, 284, 1678, 555, 1499, 32, 29411, 32, 508, 33, 4594, 33, 36, 34, 35, 36, 39, 36, 39, 40, 203, 77, 106, 79, 6119, 2074, 31, 93, 1717, 1395, 2074, 31, 93, 2193, 4262, 5133, 49, 284, 1510, 1098, 526, 3340, 979, 349, 32, 978, 225, 35, 34, 44, 34, 38, 225, 36, 34, 35, 43, 33, 35, 35, 33, 36, 40, 561, 1182, 2074, 93, 32, 978, 2464, 32, 203, 77, 106, 79, 225, 16025, 29817, 3619, 979, 349, 10403, 10643, 20435, 1077, 10715, 6290, 237, 23674, 256, 3805, 34417, 40764, 3047, 43412, 3939, 32, 203, 77, 106, 79, 225, 3008, 118, 15229, 250, 2097, 2299, 346, 42947, 2271, 22193, 667, 291, 309, 280, 5881, 291, 665, 2519, 26, 101, 711, 324, 1459, 26, 101, 27, 291, 5881, 284, 2299, 26, 101, 27, 284, 8217, 2519, 463, 8183, 683, 284, 20717, 284, 8217, 225, 11798, 3939, 19, 203, 77, 106, 79, 8959, 372, 5597, 600, 4262, 1300, 284, 309, 280, 5881, 284, 443, 312, 2262, 291, 8508, 280, 1665, 291, 665, 323, 26, 784, 711, 225, 588, 630, 438, 2298, 324, 1459, 26, 84, 27, 225, 588, 323, 8665, 324, 1459, 26, 784, 27, 324, 1459, 26, 83, 27, 324, 8508, 280, 630, 284, 281, 280, 312, 346, 284, 5881, 284, 2299, 26, 101, 27, 203, 77, 106, 79, 3340, 979, 349, 33743, 24221, 1077, 2311, 227, 37267, 247, 44230, 7208, 284, 588, 10858, 39, 638, 978, 284, 665, 2575, 346, 499, 291, 11216, 280, 1509, 2884, 8197, 803, 884, 322, 1929, 958, 44705, 280, 2156, 308, 10447, 30, 330, 540, 11134, 291, 3632, 280, 225, 34, 291, 2385, 280, 225, 34, 291, 436, 1628, 328, 44705, 44, 324, 3632, 280, 3632, 474, 9967, 308, 928, 27, 324, 2385, 280, 2385, 474, 225, 35, 291, 1459, 2884, 78, 96, 1318, 10858, 16035, 322, 7515, 438, 392, 3632, 517, 2385, 27, 284, 2575, 308, 829, 284, 588, 10858, 40, 32, 978, 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 ]
[ 2, 2, 2, 0, 2, 3, 2, 1, 2, 2, 1, 2, 2, 0, 5, 5, 5, 5, 4, 5, 5, 3, 5, 5, 4, 5, 5, 5, 6, 6, 4, 4, 3, 0, 3, 3, 18, 18, 17, 18, 17, 17, 17, 17, 15, 16, 16, 16, 16, 14, 15, 15, 13, 14, 14, 12, 12, 12, 12, 10, 10, 9, 9, 8, 8, 7, 7, 7, 5, 5, 0, 0, 0, 0, 3, 3, 4, 3, 3, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 1, 3, 3, 4, 0, 3, 2, 4, 3, 3, 3, 4, 3, 4, 4, 3, 1, 3, 3, 3, 2, 3, 3, 2, 2, 4, 2, 2, 4, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 11, 11, 9, 10, 8, 6, 7, 7, 6, 6, 5, 5, 4, 3, 0, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 2, 3, 9, 9, 8, 9, 8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 4, 0, 0, 3, 3, 6, 9, 8, 9, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 1, 2, 2, 0, 3, 3, 3, 3, 1, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 3, 4, 4, 2, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 5, 6, 6, 3, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 5, 6, 6, 7, 7, 5, 6, 6, 5, 5, 0, 0, 0, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 3, 3, 0, 1, 3, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 4, 3, 4, 4, 3, 2, 2, 3, 3, 5, 4, 7, 7, 3, 3, 3, 4, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 4, 6, 5, 8, 8, 2, 2, 2, 2, 5, 5, 6, 6, 5, 0, 0, 3, 3, 3, 2 ]
[ 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 3, 3, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 0, 6, 0, 0, 1, 0, 0, 0, 0, 1, 1, 3, 1, 3, 3, 4, 4, 9, 0, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 12, 12, 12, 12, 12, 12, 12, 12, 12, 1, 14, 14, 14, 14, 14, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 11, 1, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 14, 3, 3, 0, 0, 2, 0, 0, 15, 3, 1, 2, 2, 2, 2, 5, 5, 6, 6, 7, 7, 0, 0, 0, 0, 0, 0, 0, 8, 2, 2, 2, 9, 9, 2, 11, 11, 3, 0, 0, 2, 2, 3, 2, 0, 0, 0, 0, 4, 2, 2, 3, 3, 3, 0, 17, 1, 1, 1, 1, 1, 1, 1, 17, 17, 2, 2, 2, 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, 4, 0, 1, 1, 6, 6, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 21, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 27, 3, 27, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 33, 33, 33, 0, 34, 34, 34, 4, 4, 4, 4, 0, 4, 2, 2, 2, 1, 4, 3, 3, 4, 4, 4, 5, 5, 0, 1, 0, 2, 6, 6, 6, 2, 6, 6, 6, 6, 4, 4, 4, 4, 8, 8, 10, 34, 34, 34, 34, 34, 0, 0, 2, 1, 1, 5, 5, 5, 5, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1673, 2304, 32, 1648, 1188, 498, 4760, 2062, 203, 465, 12460, 203, 465, 2322, 203, 465, 22977, 203, 465, 29590, 203, 465, 8792, 1832, 32, 4280, 32, 9236, 619, 4533, 203, 1070, 8792, 1832, 32, 15215, 8587, 32, 9947, 32, 4072, 774, 405, 1062, 1188, 18977, 6669, 203, 1070, 8792, 1832, 32, 15215, 8587, 32, 9947, 32, 7799, 2682, 1188, 15091, 6669, 203, 1070, 8792, 1832, 32, 2846, 32, 15215, 1163, 1188, 23284, 203, 1070, 8792, 1832, 32, 4280, 32, 1832, 81, 751, 1188, 24261, 3313, 924, 203, 1070, 8792, 1832, 32, 4280, 32, 3477, 1188, 622, 81, 12279, 81, 2388, 203, 823, 25658, 81, 66, 2123, 26, 9252, 6669, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 9649, 81, 66, 2123, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 14528, 81, 40244, 280, 1665, 291, 630, 32, 3789, 81, 14528, 81, 2067, 1515, 280, 1665, 291, 630, 32, 3789, 81, 14528, 81, 40244, 280, 1665, 284, 477, 16099, 284, 665, 6717, 81, 2184, 2262, 291, 6717, 81, 6862, 280, 301, 324, 330, 100, 574, 445, 950, 3037, 4882, 5895, 6880, 1057, 31, 103, 429, 99, 13042, 313, 2529, 3312, 5964, 623, 447, 2123, 30, 2876, 1426, 26255, 4414, 23284, 614, 291, 320, 291, 442, 18977, 6669, 32, 7615, 81, 2184, 26, 7615, 81, 6862, 27, 284, 665, 8488, 81, 2997, 26, 784, 711, 291, 1596, 44, 324, 2830, 1515, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 700, 335, 583, 476, 30, 330, 2067, 683, 324, 2322, 32, 27428, 26, 2067, 1515, 27, 324, 2322, 32, 31015, 26, 2067, 1515, 27, 291, 2940, 546, 21887, 30, 1137, 44, 324, 3636, 24261, 3313, 924, 440, 5288, 372, 11656, 436, 3488, 432, 447, 2123, 1968, 44, 904, 101, 392, 1137, 27, 291, 4533, 32, 470, 869, 463, 56, 41, 41, 6880, 370, 2322, 32, 23407, 463, 56, 43, 34, 6880, 2847, 291, 630, 32, 14528, 81, 40244, 280, 2322, 32, 983, 32, 15705, 26, 784, 32, 4687, 710, 1366, 81, 1515, 5695, 38848, 26, 500, 32, 12595, 490, 291, 630, 32, 3789, 81, 14528, 81, 2067, 1515, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 3789, 1515, 30, 330, 2067, 683, 291, 630, 32, 3789, 81, 14528, 81, 40244, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 3789, 1515, 30, 630, 32, 14528, 81, 40244, 27, 291, 4533, 32, 470, 869, 463, 66, 2123, 81, 13289, 81, 14180, 81, 3197, 370, 630, 32, 3789, 81, 14528, 81, 2067, 1515, 27, 291, 4533, 32, 470, 869, 463, 66, 2123, 81, 12784, 81, 14180, 81, 3197, 370, 630, 32, 3789, 81, 14528, 81, 40244, 27, 291, 4262, 2388, 280, 622, 81, 12279, 81, 2388, 463, 8312, 683, 291, 415, 646, 4262, 2388, 44, 324, 3636, 24261, 3313, 924, 440, 8312, 2297, 646, 3892, 7144, 291, 9760, 2388, 280, 622, 81, 12279, 81, 2388, 463, 25263, 683, 291, 415, 646, 9760, 2388, 44, 324, 3636, 24261, 3313, 924, 440, 25263, 2297, 646, 3892, 7144, 291, 415, 498, 4760 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 4, 4, 8, 8, 7, 7, 8, 8, 11, 11, 11, 11, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 8, 8, 5, 5, 6, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 12, 12, 12, 10, 10, 12, 12, 6, 6, 9, 10, 9, 10, 10, 9, 6, 6, 9, 10, 9, 10, 10, 9, 5, 5, 6, 7, 6, 6, 6, 6, 6, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 10, 9, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 13, 12, 13, 11, 13, 13, 13, 13, 11, 10, 12, 11, 12, 10, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 8, 8, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 10, 10, 4, 4, 5, 6, 7, 5, 5, 5, 7, 9, 9, 9, 11, 11, 11, 11, 11, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 10, 10, 4, 4, 5, 6, 7, 5, 5, 5, 7, 9, 9, 9, 11, 11, 11, 11, 11, 4, 4, 5, 9 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 2, 0, 4, 1, 1, 0, 6, 6, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 0, 0, 7, 7, 0, 1, 2, 2, 1, 4, 1, 6, 6, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 4, 8, 8, 0, 9, 9, 0, 1, 2, 1, 4, 4, 4, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 0, 11, 11, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 8, 1, 1, 8, 8, 8, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 10, 1, 1, 10, 10, 10, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 11, 0 ]
[ 465, 316, 203, 465, 5237, 203, 1270, 44, 284, 645, 21942, 37, 568, 1580, 1188, 14735, 619, 21942, 11452, 203, 7343, 29986, 44, 284, 21942, 11452, 280, 1665, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 465, 18792, 203, 1070, 281, 15130, 1188, 3756, 203, 1070, 281, 15130, 32, 91, 35, 42, 96, 1188, 4950, 617, 815, 30, 617, 27812, 203, 1070, 281, 15130, 32, 7236, 1188, 5398, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 32, 17828, 32, 11300, 1188, 21942, 81, 37, 568, 81, 2282, 619, 21942, 2282, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 32, 17828, 1188, 24041, 203, 1070, 281, 15130, 32, 7236, 1188, 8745, 619, 6864, 81, 2304, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 5807, 81, 31158, 2123, 81, 3624, 280, 225, 37, 36, 40, 34, 203, 1405, 1893, 81, 4975, 81, 3307, 280, 313, 3606, 67, 31, 85, 15130, 31, 1405, 1893, 31, 426, 20, 203, 1405, 1893, 81, 9691, 81, 3307, 280, 313, 3606, 67, 31, 85, 15130, 31, 1405, 1893, 31, 7241, 20, 203, 823, 29484, 37, 4186, 1296, 3746, 779, 2365, 26, 5350, 32, 8573, 19590, 30, 715, 5398, 32, 16787, 444, 19590, 30, 715, 5398, 32, 20601, 19590, 30, 715, 5398, 32, 7348, 19590, 30, 715, 5398, 32, 41590, 19590, 30, 715, 5398, 32, 40513, 1564, 19590, 30, 715, 5398, 32, 1761, 19590, 711, 284, 20418, 280, 313, 36, 32, 34, 32, 36, 37, 20, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 3606, 37, 4186, 1296, 3746, 779, 2365, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 5983, 32, 1689, 81, 1163, 81, 2810, 26, 11300, 2282, 32, 11300, 37, 568, 81, 6363, 27, 291, 630, 32, 5983, 32, 1689, 81, 1163, 81, 2810, 26, 17828, 32, 17828, 81, 6363, 27, 284, 665, 617, 1664, 81, 2282, 26, 784, 711, 291, 442, 21942, 2282, 32, 3606, 37, 4186, 5240, 26, 784, 32, 5983, 27, 284, 665, 617, 3615, 26, 784, 711, 291, 4942, 280, 630, 1114, 1664, 81, 2282, 346, 291, 4942, 32, 1409, 81, 5522, 26, 2521, 27, 291, 4942, 32, 1580, 81, 3615, 346, 291, 442, 4942, 284, 665, 617, 12646, 26, 784, 30, 4942, 711, 291, 4942, 32, 1580, 81, 12646, 346, 284, 665, 617, 1553, 81, 4545, 26, 784, 30, 4942, 711, 291, 2129, 81, 4545, 280, 2107, 11300, 37, 568, 81, 1237, 81, 965, 370, 330, 11300, 37, 568, 81, 699, 370, 3775, 330, 11300, 37, 568, 81, 2895, 370, 330, 17828, 81, 639, 370, 330, 17828, 81, 3615, 370, 3775, 330, 17828, 81, 2895, 785, 291, 4942, 32, 1553, 81, 4545, 26, 784, 32, 5983, 30, 2129, 81, 4545, 27, 284, 665, 622, 81, 7236, 81, 5136, 26, 784, 30, 9737, 47, 2700, 711, 291, 4942, 280, 630, 1114, 3615, 346, 291, 1596, 44, 324, 630, 1114, 5136, 280, 4942, 32, 371, 81, 7236, 81, 5136, 26, 400, 9737, 30, 400, 630, 32, 371, 81, 2029, 81, 1126, 1026, 400, 630, 32, 371, 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, 1, 1, 3, 5, 5, 5, 3, 3, 4, 4, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 4, 4, 4, 4, 4, 2, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 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, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 4, 2, 2, 2, 3, 4, 4, 4, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 4, 4, 4, 2, 2, 2, 3, 4, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 7, 9, 9, 8, 9, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 8, 8, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 9, 10, 8, 8, 10, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 12, 13, 13, 13, 13, 13, 12, 10, 10, 12, 13, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 2, 2, 2, 6, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 0, 0, 0, 0, 0, 3, 3, 2, 0, 9, 9, 0, 1, 2, 1, 4, 1, 6, 9, 9, 0, 10, 10, 0, 1, 2, 10, 10, 3, 3, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 0, 15, 15, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 11, 2, 2, 2, 2, 2, 2, 13, 2, 2, 2, 15, 15, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 3, 4, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 6, 6, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2 ]
[ 1070, 23983, 1188, 18633, 30, 16812, 203, 589, 622, 81, 38290, 26, 29362, 481, 2525, 3220, 331, 7202, 587, 10280, 284, 1596, 44, 291, 1188, 1359, 291, 273, 280, 18633, 26, 2393, 47, 17223, 26, 1163, 32, 65, 9036, 81, 9052, 30, 1359, 32, 65, 9036, 81, 17252, 30, 7686, 1359, 32, 1725, 14401, 527, 81, 3307, 30, 1359, 32, 1725, 14401, 527, 81, 17252, 490, 291, 36801, 280, 273, 32, 1903, 32, 38290, 26, 99, 47, 29362, 481, 27, 291, 442, 36801, 710, 27655, 785, 284, 2940, 44, 291, 3636, 3268, 440, 1163, 32, 978, 803, 646, 2431, 30, 4322, 1933, 1359, 32, 978, 32, 2387, 766, 715, 372, 1359, 32, 978, 461, 5318, 328, 322, 16812, 3377, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 3, 5, 5, 5, 5, 5, 1, 1, 3, 3, 3, 5, 4, 4, 6, 6, 8, 10, 9, 11, 11, 13, 12, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 13, 11, 11, 11, 12, 13, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 13, 13, 11, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 8, 4, 4, 5, 6, 8, 8, 3, 3, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 7, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 3, 1, 1, 2, 0, 0, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 465, 3226, 654, 203, 465, 5741, 203, 1070, 18971, 1188, 308, 284, 3523, 30, 284, 35249, 30, 284, 5170, 30, 284, 1326, 30, 284, 1930, 81, 1986, 30, 284, 1933, 81, 1700, 81, 1357, 81, 1819, 30, 203, 27, 203, 1070, 345, 3077, 3492, 37, 1188, 6234, 716, 203, 1070, 345, 3077, 3492, 37, 1188, 345, 3077, 3492, 203, 1070, 345, 3077, 3492, 37, 1188, 2145, 203, 1070, 345, 3077, 3492, 37, 1188, 3145, 2435, 203, 1070, 345, 3077, 3492, 37, 32, 1262, 1188, 6207, 2304, 203, 50, 1786, 32, 4351, 4207, 95, 3077, 3492, 33, 1237, 33, 104, 34, 32, 35, 33, 1691, 33, 1357, 81, 2435, 392, 4438, 18278, 3705, 6890, 203, 50, 1786, 32, 20757, 203, 589, 1326, 81, 2435, 2262, 284, 477, 2991, 81, 1700, 81, 1357, 81, 1819, 284, 665, 2887, 81, 5457, 81, 89, 4119, 81, 2435, 26, 11649, 30, 5868, 47, 37, 34, 711, 291, 3226, 654, 32, 7840, 26, 5457, 27, 291, 415, 345, 3077, 3492, 32, 14247, 81, 57, 5091, 940, 81, 11422, 44, 324, 1256, 280, 6207, 2304, 32, 371, 81, 496, 81, 1170, 81, 11649, 26, 11649, 27, 324, 415, 1256, 32, 371, 440, 9698, 2422, 10280, 400, 10738, 81, 2989, 26, 11649, 30, 313, 4276, 22054, 30, 844, 1159, 3498, 657, 284, 706, 280, 1326, 32, 371, 81, 1260, 346, 284, 6562, 81, 3225, 280, 6207, 2304, 32, 7001, 81, 3225, 346, 284, 436, 17460, 328, 6207, 2304, 32, 371, 81, 906, 13547, 2262, 291, 415, 17460, 1365, 9698, 2422, 1446, 461, 17460, 1365, 2035, 1446, 863, 6562, 81, 3225, 44, 324, 3124, 280, 313, 20976, 1256, 438, 3425, 24240, 436, 3498, 20, 324, 442, 1930, 81, 1986, 26, 2076, 30, 225, 38, 34, 43, 27, 284, 1256, 280, 6207, 2304, 32, 371, 81, 496, 81, 1170, 81, 11649, 26, 2848, 32, 11649, 27, 284, 1256, 1365, 426, 1446, 280, 706, 1365, 426, 1446, 284, 1256, 1365, 9698, 2422, 1446, 280, 706, 1365, 2435, 1446, 284, 1256, 1365, 1436, 1446, 280, 706, 1365, 1436, 1446, 284, 1522, 13547, 280, 6207, 2304, 32, 371, 81, 906, 13547, 346, 284, 3226, 654, 32, 15697, 26, 2956, 81, 5457, 81, 89, 4119, 81, 2435, 30, 3523, 32, 11649, 30, 5868, 47, 35, 34, 27, 284, 6234, 716, 32, 7911, 440, 906, 13547, 3650, 392, 1522, 13547, 30, 3583, 3784, 6763, 100, 657, 284, 442, 1930, 81, 1986, 13961, 225, 36, 34, 34, 27, 203, 50, 1786, 32, 4351, 4207, 95, 3077, 3492, 33, 1237, 33, 104, 34, 32, 35, 33, 1691, 33, 11814, 81, 2435, 392, 4438, 18278, 3705, 6890, 203, 50, 1786, 32, 20757, 203, 589, 4818, 81, 2435, 2262, 284, 415, 6207, 2304, 32, 297, 81, 2989, 26, 2848, 32, 11649, 711, 291, 442, 1930, 81, 1986, 13961, 225, 36, 34, 34, 27, 284, 415, 646, 3523, 1365, 3615, 1120, 9557, 3615, 721, 9557, 3135, 9557, 297, 81, 266, 9391, 18270, 291, 442, 1930, 81, 1986, 13961, 225, 38, 34, 43, 27, 284, 10738, 81, 2989, 26, 2848, 32, 11649, 30, 313, 4282, 4528, 2702, 3498, 657, 284, 442, 1930, 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, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 8, 8, 1, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 8, 8, 6, 5, 5, 10, 9, 10, 9, 10, 9, 6, 6, 7, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 10, 10, 13, 12, 13, 13, 13, 13, 13, 13, 13, 12, 13, 12, 8, 8, 9, 11, 12, 11, 13, 13, 13, 9, 9, 13, 13, 13, 14, 13, 13, 15, 15, 15, 15, 15, 15, 15, 3, 3, 5, 5, 7, 8, 8, 8, 7, 3, 3, 6, 6, 5, 5, 8, 7, 8, 8, 8, 7, 3, 3, 4, 4, 4, 7, 6, 7, 7, 7, 7, 6, 4, 4, 6, 8, 10, 10, 10, 7, 7, 9, 11, 11, 8, 8, 9, 9, 6, 6, 6, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 8, 10, 10, 10, 11, 10, 10, 11, 11, 11, 10, 3, 3, 5, 5, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 3, 3, 6, 8, 8, 5, 5, 6, 8, 8, 3, 3, 6, 8, 8, 8, 5, 5, 6, 8, 8, 3, 3, 6, 8, 8, 5, 5, 6, 8, 8, 3, 3, 6, 5, 5, 8, 7, 8, 8, 8, 8, 7, 3, 3, 7, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 8, 6, 6, 7, 8, 8, 6, 3, 3, 7, 6, 7, 6, 8, 8, 8, 8, 6, 7, 6, 6, 7, 9, 9, 9, 3, 3, 4, 6, 6, 6, 6, 7, 7, 7, 6, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 8, 8, 1, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 2, 2, 4, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 4, 4, 6, 8, 8, 8, 8, 9, 9, 9, 8, 3, 3, 4, 5, 9, 11, 11, 11, 10, 10, 10, 9, 9, 8, 8, 8, 8, 8, 4, 4, 6, 8, 8, 8, 8, 9, 9, 9, 8, 3, 3, 6, 6, 6, 8, 7, 8, 6, 6, 8, 8, 8, 8, 8, 3, 3, 4, 6 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 0, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 8, 1, 0, 1, 2, 8, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 3, 3, 3, 0, 0, 2, 2, 2, 2, 1, 3, 3, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 1, 2, 0, 0, 2, 1, 2, 4, 4, 0, 1, 1, 2, 0, 0, 2, 1, 2, 4, 4, 0, 1, 2, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 5, 1, 1, 2, 4, 4, 11, 0, 0, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 9, 1, 0, 1, 2, 9, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 3, 3, 3, 1, 4, 4, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0 ]
[ 1070, 1156, 9666, 505, 1188, 308, 1216, 81, 1126, 30, 20654, 27, 203, 465, 18792, 203, 1070, 18792, 32, 21332, 1188, 2155, 203, 465, 5237, 203, 465, 2322, 203, 465, 11685, 203, 465, 7744, 203, 465, 6436, 619, 2065, 203, 465, 11685, 203, 1070, 638, 4682, 1188, 319, 203, 1270, 44, 284, 645, 18414, 32, 10097, 1188, 8821, 2081, 13293, 203, 7343, 29986, 44, 284, 645, 18414, 32, 14481, 1188, 8821, 2081, 13293, 203, 505, 464, 505, 280, 3037, 4349, 1142, 10490, 1446, 203, 823, 10349, 1142, 10490, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 4549, 30, 4549, 81, 530, 30, 4549, 81, 3965, 711, 291, 630, 32, 3378, 280, 4549, 291, 630, 32, 3378, 81, 530, 280, 4549, 81, 530, 291, 630, 32, 3378, 81, 3965, 280, 4549, 81, 3965, 291, 630, 32, 64, 14483, 30, 630, 32, 64, 16221, 280, 4549, 32, 3229, 291, 630, 32, 4698, 81, 2506, 20621, 280, 1665, 291, 630, 32, 4698, 81, 2506, 6228, 280, 1665, 291, 630, 32, 4698, 81, 2506, 7151, 280, 1665, 291, 630, 32, 4698, 81, 64, 3534, 280, 1665, 291, 630, 32, 4698, 81, 15142, 36, 280, 1665, 291, 630, 32, 4698, 81, 3804, 280, 1665, 291, 630, 32, 4698, 81, 3804, 81, 530, 280, 1665, 284, 665, 8157, 26, 784, 30, 706, 30, 706, 81, 530, 30, 706, 81, 3965, 30, 456, 7151, 81, 1298, 47, 2521, 30, 324, 456, 7151, 81, 1132, 47, 2521, 30, 456, 7151, 81, 5321, 47, 2521, 30, 4562, 81, 3804, 47, 2700, 30, 324, 9541, 47, 1815, 711, 291, 415, 456, 7151, 81, 1298, 438, 1665, 44, 324, 456, 7151, 81, 1298, 280, 1245, 7151, 291, 415, 456, 7151, 81, 1132, 438, 1665, 44, 324, 456, 7151, 81, 1132, 280, 1605, 291, 415, 456, 7151, 81, 5321, 438, 1665, 44, 324, 456, 7151, 81, 5321, 280, 5436, 346, 291, 489, 605, 280, 2069, 26, 605, 27, 291, 436, 595, 30, 3276, 328, 10703, 26, 784, 1114, 4698, 26, 605, 30, 706, 81, 530, 30, 706, 81, 3965, 30, 13588, 456, 7151, 81, 1298, 47, 94, 7151, 81, 1298, 30, 13588, 456, 7151, 81, 1132, 47, 94, 7151, 81, 1132, 30, 13588, 456, 7151, 81, 5321, 47, 94, 7151, 81, 5321, 30, 13588, 4562, 81, 3804, 47, 4390, 81, 3804, 30, 13588, 4131, 81, 16443, 47, 1815, 8531, 324, 415, 9541, 44, 400, 5237, 32, 8228, 32, 1821, 9442, 100, 14069, 1054, 1300, 301, 34, 15117, 35, 16805, 1643, 26, 91, 29, 35, 30, 489, 605, 490, 400, 5237, 32, 8228, 32, 9321, 346, 291, 415, 9541, 44, 324, 5237, 32, 8228, 32, 1821, 9442, 96, 683, 324, 5237, 32, 8228, 32, 9321, 346, 284, 665, 617, 4698, 26, 784, 30, 706, 30, 706, 81, 530, 30, 706, 81, 3965, 30, 456, 7151, 81, 1298, 47, 2521, 30, 1802, 456, 7151, 81, 1132, 47, 2521, 30, 456, 7151, 81, 5321, 47, 2521, 30, 4562, 81, 3804, 47, 2700, 30, 1802, 4131, 81, 16443, 47, 1815, 711, 291, 415, 456, 7151, 81, 1298, 438, 1665, 44, 324, 456, 7151, 81, 1298, 280, 1245, 7151 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 1, 1, 3, 4, 5, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 4, 5, 6, 4, 4, 6, 6, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 8, 9, 9, 7, 7, 8, 9, 9, 6, 6, 7, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 7, 7, 6, 6, 5, 5, 5, 9, 9, 9, 8, 8, 9, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 9, 9, 9, 8, 8, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 9, 9, 9, 8, 8, 10, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 7, 10, 9, 10, 9, 10, 9, 9, 10, 10, 9, 9, 10, 10, 9, 9, 9, 11, 11, 11, 10, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 10, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 10, 11, 11, 11, 11, 9, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 9, 11, 11, 10, 11, 9, 5, 5, 7, 7, 7, 7, 12, 13, 11, 12, 11, 16, 15, 15, 15, 15, 15, 15, 15, 15, 14, 13, 15, 14, 15, 13, 13, 14, 13, 8, 8, 12, 13, 11, 12, 11, 4, 4, 5, 5, 5, 5, 10, 11, 9, 10, 9, 12, 11, 6, 6, 10, 11, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 7, 7, 6, 6, 5, 5, 5, 9, 9, 9, 8, 8, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 1, 0, 8, 8, 0, 9, 9, 0, 9, 9, 0, 10, 10, 10, 10, 0, 1, 2, 0, 0, 0, 0, 10, 3, 3, 3, 3, 3, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 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, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 0, 0, 0, 9, 2, 2, 2, 2, 0, 0, 0, 11, 2, 2, 2, 0, 0, 0, 13, 2, 2, 2, 0, 0, 15, 2, 2, 2, 2, 17, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 4, 4, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 0, 0, 0, 7, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 9, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 11, 2, 2, 2, 2, 1, 1, 1, 0, 0, 13, 2, 2, 2, 1, 1, 1, 0, 0, 15, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 3, 1, 3, 3, 0, 2, 0, 2, 1, 4, 4, 5, 5, 5, 5, 0, 2, 0, 2, 1, 0, 2, 3, 3, 0, 2, 0, 2, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 0, 0, 0, 9, 2, 2, 2, 2, 0, 0, 0, 11, 2, 2, 2, 0, 0, 0, 13, 2, 2, 2, 0, 0, 15, 2, 2, 2, 2, 0, 0, 17, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
[ 9592, 48958, 8190, 7079, 9843, 4253, 664, 894, 2193, 4442, 203, 9592, 203, 21, 203, 765, 203, 765, 203, 433, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 20654, 203, 465, 1671, 203, 465, 2322, 203, 465, 1417, 203, 465, 5237, 203, 465, 15798, 203, 465, 3995, 203, 465, 1133, 203, 465, 16951, 203, 1070, 11318, 978, 94, 32, 1040, 32, 819, 1188, 14707, 81, 3434, 203, 465, 11318, 978, 94, 32, 1040, 32, 1489, 619, 1963, 203, 589, 29858, 1324, 26, 83, 30, 323, 30, 23477, 711, 284, 5881, 29087, 318, 645, 44, 1913, 555, 20707, 31, 1493, 31, 8463, 32, 286, 33, 4275, 33, 25500, 33, 5881, 284, 415, 312, 610, 323, 44, 588, 351, 442, 2933, 284, 4348, 312, 319, 323, 610, 225, 34, 32, 34, 44, 588, 351, 442, 11366, 26, 83, 429, 323, 27, 333, 23477, 1115, 225, 36, 284, 813, 44, 588, 351, 442, 11366, 26, 83, 429, 323, 27, 517, 308, 3596, 26, 83, 27, 474, 11366, 26, 84, 490, 333, 23477, 203, 823, 9500, 903, 3937, 7233, 26, 18986, 32, 7233, 711, 284, 665, 1156, 1664, 3207, 784, 30, 24921, 1057, 1945, 1006, 370, 9124, 1881, 558, 1057, 3765, 81, 36009, 7831, 291, 15798, 32, 7233, 3667, 1664, 3207, 784, 30, 24921, 47, 27696, 27, 291, 630, 32, 7389, 81, 869, 81, 426, 280, 9124, 1881, 558, 291, 630, 32, 858, 81, 426, 280, 330, 46918, 894, 25, 291, 630, 32, 22402, 280, 225, 34, 291, 630, 32, 22402, 81, 998, 280, 225, 34, 284, 665, 14553, 26, 784, 711, 291, 588, 351, 588, 20216, 588, 351, 1596, 44, 324, 9124, 280, 1946, 26, 500, 32, 12757, 77, 784, 32, 7389, 81, 869, 81, 426, 1130, 291, 2940, 25085, 44, 324, 3995, 32, 7389, 346, 324, 9124, 280, 1946, 26, 3855, 32, 3855, 346, 319, 225, 35, 87, 43, 27, 291, 1459, 26, 1489, 32, 5766, 9442, 96, 319, 9500, 9124, 44, 2149, 319, 2473, 1643, 26, 7389, 2610, 291, 3995, 32, 7389, 26, 7389, 27, 284, 665, 1974, 81, 6654, 26, 784, 30, 2738, 81, 22402, 30, 43363, 47, 1815, 711, 291, 630, 32, 22402, 280, 2738, 81, 22402, 291, 415, 646, 43363, 44, 324, 1459, 9442, 100, 225, 2149, 2149, 517, 2149, 225, 5608, 1643, 26, 784, 32, 858, 81, 426, 30, 630, 32, 22402, 30, 630, 32, 22402, 81, 998, 471, 943, 32601, 291, 813, 44, 324, 415, 630, 32, 22402, 610, 225, 35, 44, 400, 1459, 463, 225, 2149, 5608, 1643, 26, 784, 32, 858, 81, 426, 471, 943, 32601, 324, 943, 85, 280, 4247, 415, 630, 32, 22402, 904, 225, 35, 34, 34, 813, 3228, 96, 25, 324, 1459, 39054, 943, 47, 416, 85, 27, 291, 5237, 32, 9362, 32, 9321, 346, 284, 665, 1201, 3689, 13160, 1324, 26, 784, 30, 312, 30, 323, 30, 23477, 30, 3124, 47, 2521, 711, 291, 415, 646, 29858, 1324, 26, 83, 30, 323, 30, 23477, 711, 324, 415, 3124, 438, 1665, 44, 400, 3124, 280, 17246, 863, 19553, 1643, 26, 83, 30, 323, 27, 324, 3636, 630, 32, 11879, 984 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 6, 6, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 7, 4, 6, 6, 5, 7, 7, 7, 7, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 5, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 6, 6, 8, 11, 10, 11, 9, 11, 10, 11, 11, 11, 11, 11, 9, 2, 2, 2, 4, 4, 4, 7, 8, 7, 2, 2, 4, 4, 6, 10, 9, 10, 9, 7, 7, 8, 8, 8, 6, 2, 2, 5, 8, 7, 8, 7, 12, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 9, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 7, 7, 4, 4, 5, 6, 5, 5, 5, 9, 14, 13, 13, 13, 13, 13, 13, 13, 12, 11, 13, 12, 13, 13, 13, 11, 11, 12, 13, 11, 11, 12, 13, 13, 13, 11, 9, 10, 5, 5, 6, 6, 6, 8, 10, 11, 9, 9, 10, 8, 8, 8, 12, 16, 16, 16, 15, 14, 16, 15, 16, 16, 16, 14, 12, 13, 7, 7, 10, 9, 9, 10, 10, 12, 13, 11, 11, 12, 12, 12, 10, 10, 13, 12, 7, 7, 10, 10, 11, 12, 12, 10, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 8, 8, 9, 8, 8, 8, 8, 8, 5, 5, 7, 8, 8, 7, 7, 7, 10, 10, 14, 14, 13, 12, 13, 12, 12, 12, 6, 6, 7, 9, 10, 10 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 5, 5, 5, 5, 5, 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, 13, 13, 0, 14, 14, 0, 0, 1, 2, 1, 4, 14, 14, 0, 0, 0, 15, 15, 0, 0, 0, 2, 0, 4, 1, 1, 0, 16, 16, 1, 2, 1, 2, 2, 2, 2, 2, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 0, 0, 1, 1, 2, 2, 2, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 17, 17, 1, 1, 1, 2, 0, 1, 2, 2, 17, 17, 0, 1, 1, 1, 2, 2, 3, 1, 1, 2, 2, 0, 0, 5, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 2, 1, 2, 1, 1, 4, 4, 4, 1, 5, 5, 5, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 4, 4, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 7, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 7, 7, 0, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 1, 3, 1, 1, 4, 4, 4, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 8, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 8, 8, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 1, 0, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 15121, 99, 1188, 310, 43580, 203, 1070, 281, 5123, 1188, 15820, 619, 225, 9673, 274, 10946, 203, 1070, 6560, 13821, 32, 1040, 32, 1813, 464, 1188, 319, 203, 823, 18687, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 7937, 30, 16656, 5553, 47, 34, 30, 16656, 5483, 47, 34, 30, 1344, 1657, 47, 43, 43, 43, 43, 43, 43, 711, 291, 630, 32, 1366, 1594, 280, 1769, 26, 34, 30, 7937, 77, 34, 997, 1366, 1594, 429, 16656, 5553, 27, 291, 630, 32, 416, 1594, 280, 1847, 26, 878, 1657, 30, 7937, 6448, 35, 997, 416, 1594, 474, 16656, 5483, 27, 291, 630, 32, 8933, 280, 428, 102, 436, 273, 328, 7937, 415, 273, 32, 16317, 79, 291, 630, 32, 16317, 81, 13086, 280, 20073, 470, 26, 102, 32, 878, 436, 273, 328, 630, 32, 8933, 27, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 630, 32, 416, 1594, 429, 630, 32, 1366, 1594, 284, 665, 18714, 101, 26, 784, 30, 10290, 711, 291, 2197, 280, 630, 32, 1366, 1594, 291, 11040, 280, 630, 32, 416, 1594, 291, 296, 545, 280, 10290, 32, 1366, 1594, 291, 296, 735, 280, 10290, 32, 416, 1594, 291, 442, 308, 88, 545, 848, 2197, 461, 296, 545, 333, 11040, 27, 556, 308, 19010, 848, 2197, 461, 296, 735, 333, 11040, 27, 284, 665, 2288, 94, 4965, 81, 1322, 26, 784, 30, 10290, 711, 291, 2197, 280, 630, 32, 1366, 1594, 291, 11040, 280, 630, 32, 416, 1594, 291, 296, 545, 280, 10290, 32, 1366, 1594, 291, 296, 735, 280, 10290, 32, 416, 1594, 291, 442, 1769, 26, 735, 30, 296, 735, 27, 429, 1847, 26, 545, 30, 296, 545, 27, 284, 665, 1401, 81, 8933, 26, 784, 711, 291, 442, 1346, 26, 102, 32, 16317, 436, 273, 328, 630, 32, 8395, 27, 203, 589, 1933, 363, 2872, 2029, 26, 3890, 470, 30, 7937, 711, 284, 436, 273, 328, 7937, 44, 291, 273, 280, 273, 32, 2991, 346, 291, 273, 32, 16317, 280, 273, 32, 878, 328, 5615, 470, 291, 6761, 273, 203, 589, 9282, 5756, 265, 26, 878, 30, 7937, 711, 284, 7937, 280, 1149, 26, 8395, 27, 284, 2670, 280, 2685, 280, 225, 34, 284, 415, 7937, 44, 291, 2670, 280, 7937, 77, 34, 997, 1366, 1594, 291, 2685, 280, 2069, 26, 878, 27, 429, 7937, 6448, 35, 997, 416, 1594, 284, 442, 428, 5756, 26, 8395, 30, 16656, 5553, 47, 5553, 30, 16656, 5483, 47, 5483, 2177, 203, 823, 7155, 5756, 265, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1334, 47, 41, 34, 711, 291, 630, 32, 891, 280, 1334, 284, 665, 1156, 1851, 3207, 784, 30, 1344, 30, 7937, 711, 291, 1334, 280, 630, 32, 891, 291, 1932, 280, 1665, 291, 17854, 280, 1605, 291, 436, 273, 328, 7937, 44, 324, 415, 1932, 438, 1665, 44, 400, 1932, 280, 273, 32, 1366, 1594, 324, 415, 273, 32, 416, 1594, 429, 1932, 848, 1334, 44, 400, 1932, 280, 1665, 400, 415, 17854, 44, 528, 6761, 18687, 26, 7727, 27, 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, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 6, 6, 6, 6, 6, 4, 3, 3, 7, 8, 8, 6, 6, 8, 9, 8, 8, 11, 12, 11, 11, 11, 9, 9, 10, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 8, 11, 13, 11, 11, 11, 9, 9, 10, 8, 4, 4, 7, 8, 6, 6, 8, 7, 8, 8, 8, 7, 8, 9, 10, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 10, 9, 10, 8, 9, 9, 9, 10, 11, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 6, 6, 7, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 8, 8, 4, 4, 6, 6, 7, 8, 8, 4, 4, 7, 6, 6, 7, 8, 8, 4, 4, 7, 6, 6, 7, 8, 8, 4, 4, 5, 10, 10, 9, 9, 8, 8, 10, 9, 9, 7, 6, 6, 10, 9, 9, 8, 8, 10, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 8, 8, 4, 4, 6, 6, 7, 8, 8, 4, 4, 7, 6, 6, 7, 8, 8, 4, 4, 7, 6, 6, 7, 8, 8, 4, 4, 5, 8, 9, 8, 8, 9, 8, 6, 6, 8, 9, 8, 8, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 8, 8, 8, 9, 10, 7, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 7, 8, 4, 4, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 5, 5, 6, 2, 2, 3, 3, 3, 3, 6, 6, 8, 9, 8, 8, 8, 4, 4, 6, 6, 9, 10, 9, 7, 7, 9, 11, 9, 9, 9, 2, 2, 3, 6, 6, 7, 6, 6, 8, 7, 8, 6, 6, 8, 7, 8, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 6, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 7, 8, 4, 4, 6, 6, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 8, 7, 7, 7, 10, 10, 11, 12, 12, 6, 6, 7, 10, 11, 11, 9, 9, 8, 8, 7, 7, 7, 10, 10, 8, 8, 9, 9, 9, 9, 12, 14, 15, 14, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 3, 3, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 3, 3, 0, 4, 4, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 0, 5, 2, 2, 2, 0, 7, 2, 2, 2, 0, 9, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 3, 3, 2, 1, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 3, 3, 2, 1, 4, 4, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 3, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 3, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 0, 1, 2, 1, 2, 2, 2, 3, 2, 1, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5, 5, 0, 2, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 3, 3, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 4, 4, 3, 0, 1, 1, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 3, 1, 1, 1, 1, 0, 1, 1, 1, 3 ]
[ 465, 803, 1131, 203, 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 1070, 1673, 2304, 32, 1648, 1188, 498, 4760, 2062, 203, 1070, 8792, 1832, 32, 2846, 32, 15215, 1521, 1188, 24261, 2227, 203, 1070, 8792, 1832, 32, 4280, 32, 761, 4280, 1188, 1420, 81, 3515, 203, 1070, 8792, 1832, 32, 4280, 32, 3477, 1188, 622, 81, 12279, 81, 2388, 30, 622, 81, 12279, 81, 1648, 203, 823, 25658, 81, 64, 1583, 26, 21321, 2227, 711, 284, 665, 8488, 81, 2997, 26, 784, 711, 291, 1596, 44, 324, 2322, 32, 31015, 463, 1163, 683, 291, 2940, 546, 21887, 30, 1137, 44, 324, 630, 32, 751, 32, 731, 440, 5288, 372, 1539, 372, 322, 330, 1163, 25, 4921, 44, 904, 101, 20, 904, 1137, 27, 291, 4774, 280, 313, 2682, 429, 88, 29069, 32, 5930, 20, 291, 1420, 81, 3515, 26, 3515, 30, 1245, 81, 464, 47, 1815, 30, 4281, 47, 1815, 27, 291, 4774, 280, 5587, 107, 2682, 429, 1163, 398, 25461, 20, 291, 1420, 81, 3515, 26, 3515, 30, 1245, 81, 464, 47, 1815, 30, 4281, 47, 1815, 27, 291, 8444, 81, 18349, 280, 316, 32, 6993, 463, 14747, 101, 28, 12882, 81, 8569, 78, 101, 28, 12194, 101, 22189, 29548, 4731, 78, 101, 29481, 370, 316, 32, 63, 27, 291, 296, 280, 2156, 440, 25409, 392, 313, 100, 657, 291, 10475, 280, 296, 32, 850, 346, 291, 296, 32, 2679, 346, 291, 8444, 81, 3607, 280, 8444, 81, 18349, 32, 1903, 26, 2760, 547, 1363, 26, 35, 27, 291, 281, 452, 88, 81, 8820, 280, 4247, 291, 415, 373, 280, 622, 81, 12279, 81, 2388, 463, 325, 373, 683, 291, 415, 415, 373, 44, 324, 415, 498, 4760, 2062, 26, 371, 81, 12279, 81, 1648, 463, 325, 373, 2847, 333, 498, 4760, 2062, 463, 36, 34, 35, 35, 32, 38, 7831, 400, 281, 452, 88, 81, 8820, 280, 6470, 12750, 429, 62, 23, 101, 33, 1356, 33, 21066, 40, 38, 429, 39026, 1262, 429, 39026, 625, 25, 904, 415, 373, 324, 813, 44, 400, 281, 452, 88, 81, 8820, 280, 6470, 12750, 429, 62, 23, 101, 33, 10199, 33, 1356, 33, 21066, 40, 38, 429, 39026, 1262, 429, 39026, 625, 25, 904, 415, 373, 291, 4348, 622, 81, 12279, 81, 2388, 463, 25706, 7831, 324, 281, 452, 88, 81, 8820, 280, 6470, 4078, 43831, 429, 12750, 25, 291, 13296, 2665, 280, 301, 3486, 330, 53, 8115, 950, 2322, 32, 23407, 463, 2201, 1425, 3486, 330, 56, 8115, 950, 2322, 32, 23407, 463, 56, 41, 41, 1425, 3486, 330, 31233, 2031, 950, 6470, 24942, 904, 101, 25, 904, 2322, 32, 23407, 463, 20766, 1425, 3486, 330, 35924, 2031, 950, 2322, 32, 23407, 463, 1139, 62, 1614, 69, 1425, 3486, 330, 1197, 385, 12178, 5260, 950, 2322, 32, 23407, 463, 20766, 1425, 3486, 330, 1362, 385, 12178, 5260, 950, 2322, 32, 23407, 463, 1139, 62, 1614, 69, 1425, 3486, 330, 9113, 10833, 31820, 950, 2322, 32, 23407, 463, 30802, 1425, 3486, 330, 53, 452, 3314, 91, 7962, 950, 281, 452, 88, 81, 8820, 528, 320, 291, 436, 1628, 328, 803, 1131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 10, 9, 11, 11, 5, 5, 6, 7, 6, 6, 6, 6, 6, 11, 12, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 8, 7, 7, 9, 9, 8, 9, 7, 7, 8, 9, 7, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 8, 7, 7, 9, 9, 8, 9, 7, 7, 8, 9, 7, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 4, 4, 6, 6, 8, 10, 10, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 4, 4, 7, 7, 6, 6, 11, 11, 10, 11, 10, 11, 10, 9, 8, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 4, 4, 5, 6, 5, 5, 5, 7, 10, 10, 10, 12, 12, 12, 12, 12, 12, 14, 14, 14, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 7, 7, 11, 11, 11, 11, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 7, 7, 8, 8, 8, 12, 12, 12, 12, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 5, 5, 6, 8, 8, 8, 8, 8, 10, 10, 6, 6, 10, 10, 10, 10, 9, 9, 11, 11, 11, 11, 11, 4, 4, 7, 6, 6, 7, 7, 10, 10, 10, 8, 10, 11, 10, 12, 12, 7, 7, 10, 10, 10, 8, 10, 11, 10, 12, 12, 12, 12, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 9, 9, 11, 12, 11, 13, 13, 7, 7, 10, 10, 10, 8, 10, 11, 10, 12, 12, 12, 12, 12, 7, 7, 10, 10, 10, 10, 10, 8, 10, 11, 10, 12, 12, 7, 7, 10, 10, 10, 10, 10, 8, 10, 11, 10, 12, 12, 12, 12, 12, 7, 7, 10, 10, 10, 10, 8, 10, 11, 10, 12, 12, 7, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 7, 7, 4, 4, 5, 5, 5, 8 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 8, 8, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 3, 1, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 12, 1, 12, 12, 12, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 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, 2, 2, 2, 2, 0, 0, 4, 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, 2, 2, 2, 2, 12, 12, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 3, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 7, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 9, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 11, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 15, 2, 2, 2, 2, 2, 2, 4, 4, 14, 14, 14, 0 ]
[ 1070, 343, 378, 269, 1188, 4281, 983, 225, 203, 1070, 7744, 1188, 319, 203, 589, 2491, 8604, 26, 95, 668, 711, 284, 18315, 47, 95, 668, 77, 34, 79, 284, 436, 345, 328, 345, 668, 77, 35, 44, 2786, 291, 312, 34, 34, 47, 8604, 77, 34, 1674, 34, 6603, 95, 77, 34, 1674, 34, 6155, 8604, 77, 34, 1674, 35, 6603, 95, 77, 35, 1674, 34, 79, 291, 312, 34, 35, 47, 8604, 77, 34, 1674, 34, 6603, 95, 77, 34, 1674, 35, 6155, 8604, 77, 34, 1674, 35, 6603, 95, 77, 35, 1674, 35, 79, 291, 312, 35, 34, 47, 8604, 77, 35, 1674, 34, 6603, 95, 77, 34, 1674, 34, 6155, 8604, 77, 35, 1674, 35, 6603, 95, 77, 35, 1674, 34, 79, 291, 312, 35, 35, 47, 8604, 77, 35, 1674, 34, 6603, 95, 77, 34, 1674, 35, 6155, 8604, 77, 35, 1674, 35, 6603, 95, 77, 35, 1674, 35, 79, 291, 18315, 6020, 77, 83, 34, 34, 30, 83, 34, 35, 14941, 83, 35, 34, 30, 83, 35, 35, 3212, 284, 442, 18315, 203, 589, 5028, 1287, 26, 102, 2281, 711, 284, 442, 3813, 4952, 26, 102, 2281, 471, 31, 7102, 26, 102, 2281, 14155, 77, 7102, 26, 102, 2281, 471, 4952, 26, 102, 2281, 2177, 79, 203, 589, 4871, 1287, 26, 1287, 30, 9222, 711, 284, 816, 47, 1287, 77, 34, 1674, 34, 6603, 385, 77, 34, 6155, 1287, 77, 34, 1674, 35, 6603, 385, 77, 35, 79, 284, 533, 47, 1287, 77, 35, 1674, 34, 6603, 385, 77, 34, 6155, 1287, 77, 35, 1674, 35, 6603, 385, 77, 35, 79, 284, 9222, 77, 34, 7770, 106, 284, 9222, 77, 35, 7770, 107, 203, 589, 9807, 26, 385, 711, 284, 442, 17058, 26, 385, 77, 34, 6603, 385, 77, 34, 6155, 385, 77, 35, 6603, 385, 77, 35, 1130, 203, 589, 17578, 705, 1215, 26, 98, 35, 30, 2132, 711, 284, 399, 47, 98, 35, 31445, 284, 14278, 30, 994, 30, 102, 2281, 30, 3222, 4555, 30, 33167, 4555, 30, 106, 36, 30, 107, 36, 47, 2132, 31445, 284, 273, 2281, 280, 273, 2281, 28, 1295, 33, 35, 42, 34, 32, 34, 284, 551, 6020, 106, 36, 30, 107, 36, 79, 284, 415, 14278, 379, 34, 556, 42023, 379, 34, 556, 399, 379, 52, 44, 291, 442, 21145, 51, 2867, 614, 51, 2867, 614, 51, 2867, 6137, 77, 52, 2867, 614, 52, 2867, 614, 52, 2867, 3212, 1130, 284, 2491, 47, 1287, 8604, 1162, 5346, 1287, 26, 102, 2281, 471, 9532, 35, 33, 6662, 30, 34, 14941, 34, 30, 35, 33, 994, 6137, 5346, 1287, 3736, 102, 2281, 2610, 284, 4871, 1287, 26, 1287, 30, 399, 27, 284, 4871, 1287, 26, 1287, 30, 551, 27, 284, 831, 6020, 7374, 52, 77, 35, 14204, 51, 77, 35, 5727, 52, 77, 34, 14204, 51, 77, 34, 3212, 284, 343, 47, 93, 77, 34, 6603, 93, 77, 34, 6155, 93, 77, 35, 6603, 93, 77, 35, 79, 284, 831, 77, 34, 11491, 47, 8663, 26, 86, 27, 284, 831, 77, 35, 11491, 47, 8663, 26, 86, 27, 284, 343 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 3, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 6, 6, 5, 6, 5, 2, 2, 3, 3, 3, 5, 4, 6, 5, 4, 3, 3, 7, 7, 6, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 4, 4, 7, 7, 6, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 4, 4, 7, 7, 6, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 4, 4, 7, 7, 6, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 11, 10, 11, 10, 10, 9, 4, 4, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 7, 7, 8, 8, 7, 6, 8, 8, 9, 9, 8, 5, 7, 7, 8, 8, 7, 7, 7, 8, 8, 7, 4, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 4, 9, 8, 9, 8, 8, 7, 8, 7, 8, 7, 9, 8, 9, 8, 8, 7, 8, 7, 8, 7, 2, 2, 4, 9, 8, 9, 8, 8, 7, 8, 7, 8, 7, 9, 8, 9, 8, 8, 7, 8, 7, 8, 7, 2, 2, 5, 6, 5, 5, 2, 2, 5, 6, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 3, 2, 1, 1, 4, 6, 6, 5, 2, 2, 5, 6, 5, 6, 6, 5, 6, 6, 5, 6, 6, 5, 6, 6, 5, 6, 6, 4, 6, 5, 2, 2, 5, 4, 4, 7, 6, 7, 5, 6, 6, 6, 6, 6, 2, 2, 4, 6, 6, 5, 6, 6, 5, 2, 2, 3, 6, 7, 5, 5, 6, 7, 4, 4, 5, 6, 3, 3, 3, 6, 10, 9, 9, 10, 9, 9, 10, 9, 9, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 7, 2, 2, 4, 6, 6, 6, 9, 9, 9, 10, 10, 9, 8, 11, 10, 11, 9, 10, 9, 10, 9, 11, 10, 11, 9, 9, 9, 9, 11, 11, 9, 2, 2, 5, 5, 6, 5, 5, 5, 2, 2, 5, 5, 6, 5, 5, 5, 2, 2, 4, 6, 10, 9, 10, 9, 10, 9, 10, 9, 8, 7, 8, 7, 8, 7, 8, 7, 2, 2, 4, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 2, 2, 5, 6, 5, 4, 6, 6, 7, 6, 2, 2, 5, 6, 5, 4, 6, 6, 7, 6, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 0, 3, 0, 2, 3, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 4, 4, 2, 0, 3, 3, 1, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 4, 4, 0, 2, 0, 2, 0, 5, 5, 2, 1, 2, 5, 5, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 6, 6, 1, 1, 2, 1, 1, 2, 3, 2, 6, 6, 0, 0, 0, 2, 4, 4, 0, 2, 0, 4, 4, 0, 6, 6, 0, 8, 8, 0, 10, 10, 0, 12, 12, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 2, 3, 3, 2, 4, 4, 4, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 4, 4, 4, 1, 0, 1, 1, 0, 3, 3, 0, 5, 5, 3, 0, 1, 1, 0, 3, 3, 0, 5, 5, 1, 4, 4, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 3, 0, 1, 2, 1, 3, 1, 1, 3, 0, 3, 2, 3, 0, 0, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 4, 4, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4 ]
[ 465, 1133, 203, 465, 16672, 203, 1070, 5589, 878, 32, 19561, 32, 24472, 1188, 2454, 81, 419, 81, 1160, 619, 2454, 81, 978, 2539, 81, 419, 81, 1160, 203, 1070, 5589, 878, 32, 605, 32, 18651, 1188, 2454, 81, 419, 81, 1160, 619, 2454, 81, 7753, 2539, 81, 419, 81, 1160, 203, 1070, 5589, 878, 32, 2304, 1188, 5822, 81, 1070, 81, 965, 203, 1070, 5589, 878, 32, 15183, 1188, 9591, 39601, 203, 589, 17521, 81, 18107, 21930, 26, 1132, 711, 284, 665, 617, 1945, 81, 17411, 26, 3239, 30, 1869, 95, 81, 10075, 711, 291, 273, 34, 280, 1133, 32, 1211, 40587, 346, 291, 436, 24565, 1344, 27, 328, 5683, 44, 324, 1869, 95, 81, 10075, 26, 878, 27, 291, 1459, 440, 26234, 21930, 12808, 1133, 9318, 1133, 32, 1211, 40587, 346, 429, 273, 34, 27, 284, 1869, 81, 1160, 81, 983, 280, 5822, 81, 1070, 81, 965, 463, 641, 555, 19604, 32, 101, 37, 32, 13808, 32, 508, 33, 3378, 33, 878, 33, 34038, 81, 419, 95, 33, 878, 81, 311, 365, 4325, 81, 35, 39, 34, 34, 34, 32, 1160, 683, 284, 5683, 280, 9591, 39601, 77, 1132, 32, 5613, 729, 2998, 1057, 3239, 683, 284, 1869, 81, 1160, 280, 2454, 81, 7753, 2539, 81, 419, 81, 1160, 26, 419, 81, 1160, 81, 983, 27, 284, 1459, 440, 26234, 17006, 28257, 1465, 5332, 429, 5589, 2539, 657, 284, 617, 1945, 81, 17411, 26, 3239, 30, 1869, 81, 1160, 32, 10807, 1465, 5332, 27, 284, 5683, 280, 9591, 39601, 77, 1132, 32, 5613, 729, 2998, 1057, 3239, 683, 284, 1869, 81, 1160, 280, 2454, 81, 978, 2539, 81, 419, 81, 1160, 26, 419, 81, 1160, 81, 983, 27, 284, 1459, 440, 26234, 17006, 28257, 1465, 5332, 429, 3619, 2539, 657, 284, 617, 1945, 81, 17411, 26, 3239, 30, 1869, 81, 1160, 32, 10807, 1465, 5332, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 4118, 280, 16672, 32, 26633, 26, 2310, 1057, 26234, 17006, 17521, 683, 284, 4118, 32, 669, 81, 2669, 12664, 5613, 370, 827, 47, 466, 30, 1244, 1057, 1614, 81, 3567, 3951, 370, 715, 3049, 1057, 9395, 436, 7871, 17521, 683, 284, 2181, 280, 4118, 32, 2208, 81, 1132, 346, 284, 17521, 81, 18107, 21930, 26, 1132, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 7, 6, 6, 8, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 9, 9, 9, 9, 10, 9, 4, 4, 7, 9, 9, 9, 9, 9, 7, 10, 11, 11, 10, 8, 8, 9, 7, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 7, 6, 8, 7, 8, 6, 8, 7, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 6, 5, 5, 7, 7, 6, 7, 7, 7, 5, 2, 2, 4, 4, 7, 6, 8, 7, 8, 6, 8, 7, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 6, 5, 5, 7, 7, 6, 7, 7, 7, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 7, 5, 5, 6, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 2, 2, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 3, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 13625, 32, 8183, 1188, 19209, 261, 203, 465, 35094, 203, 465, 11685, 203, 1070, 11993, 1188, 6204, 203, 1070, 638, 1188, 376, 28371, 6434, 203, 1070, 2022, 648, 1188, 42353, 81, 2304, 203, 1070, 2022, 648, 1188, 1671, 203, 1070, 2022, 648, 32, 3997, 1188, 2815, 9229, 203, 1070, 2022, 648, 32, 1262, 1188, 22148, 203, 465, 42353, 203, 1070, 42353, 1188, 456, 648, 203, 1070, 42353, 1188, 3995, 203, 465, 42353, 32, 10337, 619, 594, 2356, 203, 1070, 638, 8362, 1188, 1244, 81, 6474, 81, 1664, 203, 1070, 638, 8362, 1188, 27276, 81, 8304, 203, 465, 6436, 619, 2065, 203, 589, 8057, 81, 2445, 81, 26170, 26, 3473, 30, 3775, 2467, 30, 3775, 1202, 30, 3775, 786, 30, 3775, 9710, 47, 92, 2356, 32, 1808, 37, 36, 30, 3775, 15606, 47, 2521, 30, 3775, 6013, 47, 2521, 30, 3775, 18586, 81, 23627, 47, 1815, 30, 3775, 33240, 81, 19050, 47, 2521, 30, 3775, 33240, 81, 3306, 47, 34, 4317, 3775, 17283, 47, 2700, 30, 3775, 12485, 47, 2521, 711, 334, 1201, 1202, 32, 3229, 20129, 35, 79, 610, 786, 32, 3229, 20129, 35, 79, 334, 1201, 308, 1217, 32, 3229, 77, 34, 44, 35, 79, 610, 1202, 32, 3229, 77, 34, 44, 35, 79, 461, 616, 2467, 32, 3229, 6448, 35, 79, 610, 1202, 32, 3229, 6448, 35, 1130, 334, 415, 6013, 438, 1665, 44, 284, 6013, 280, 8825, 26, 3585, 26, 35, 30, 1202, 32, 29704, 429, 225, 36, 490, 334, 415, 646, 6937, 26, 5082, 30, 19209, 711, 284, 6013, 280, 308, 5082, 21713, 334, 1201, 1202, 32, 29704, 610, 2467, 32, 29704, 334, 1201, 1202, 32, 29704, 610, 786, 32, 29704, 334, 436, 3327, 328, 6013, 44, 284, 415, 646, 308, 1217, 32, 29704, 2377, 225, 37, 461, 225, 35, 2511, 3327, 333, 2467, 32, 29704, 429, 225, 36, 711, 397, 3636, 10091, 463, 41457, 6013, 2298, 526, 3733, 322, 5254, 330, 5556, 330, 5082, 461, 322, 2401, 31, 8268, 17478, 11834, 334, 7713, 280, 2467, 32, 3229, 6448, 35, 79, 334, 310, 280, 1202, 32, 29704, 334, 5254, 81, 12732, 280, 8825, 26, 2356, 32, 2560, 26, 3585, 26, 96, 471, 6013, 474, 308, 96, 429, 225, 35, 30, 2610, 334, 2678, 93, 81, 13163, 280, 5254, 81, 12732, 474, 6013, 474, 308, 96, 429, 225, 35, 21713, 334, 1202, 280, 1202, 32, 16547, 26, 33939, 81, 13163, 27, 334, 2467, 280, 2467, 32, 16547, 26, 33939, 81, 13163, 27, 334, 354, 81, 13163, 280, 5254, 81, 12732, 474, 308, 96, 429, 225, 35, 21713, 474, 6013, 334, 786, 280, 786, 32, 16547, 26, 104, 81, 13163, 27, 334, 2467, 280, 2467, 517, 594, 2356, 32, 8663, 26, 6299, 547, 15315, 26, 12010, 27, 334, 5254, 81, 12732, 81, 102, 280, 8825, 26, 3585, 26, 1657, 26, 4432, 81, 12732, 2610, 334, 821, 1528, 81, 9582, 280, 456, 648, 32, 4260, 81, 8304, 26, 397, 2467, 30, 397, 1202, 30, 8580, 96, 429, 225, 35, 28020, 308, 96, 429, 225, 35, 30, 3662, 308, 4432, 81, 12732, 81, 102, 30, 5254, 81, 12732, 81, 102, 3662 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 4, 5, 5, 5, 2, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 2, 2, 4, 4, 3, 4, 4, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 1, 1, 3, 6, 7, 5, 8, 5, 4, 4, 6, 7, 5, 8, 5, 2, 2, 3, 9, 8, 9, 7, 9, 8, 9, 7, 6, 6, 8, 9, 7, 9, 8, 9, 7, 5, 5, 5, 8, 9, 7, 9, 7, 6, 6, 8, 9, 7, 9, 7, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 10, 10, 11, 10, 10, 12, 13, 11, 11, 12, 10, 2, 2, 3, 4, 6, 7, 6, 6, 6, 3, 3, 6, 6, 8, 7, 2, 2, 3, 5, 6, 4, 4, 5, 6, 2, 2, 3, 5, 6, 4, 4, 5, 6, 2, 2, 3, 3, 3, 3, 3, 3, 5, 6, 11, 10, 11, 9, 9, 10, 8, 8, 10, 9, 9, 9, 9, 11, 12, 10, 10, 11, 7, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 4, 4, 6, 7, 5, 7, 5, 2, 2, 4, 4, 5, 6, 2, 2, 5, 5, 4, 4, 6, 9, 8, 9, 8, 10, 10, 11, 10, 8, 9, 9, 12, 11, 11, 12, 10, 10, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 6, 5, 5, 8, 7, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 6, 9, 8, 8, 9, 7, 5, 5, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 5, 5, 10, 9, 10, 9, 10, 9, 8, 7, 8, 7, 2, 2, 5, 5, 5, 5, 4, 4, 6, 8, 8, 10, 10, 11, 11, 11, 10, 2, 2, 5, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 11, 10, 10, 11, 9, 8, 11, 10, 10, 11, 9, 9, 7, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 0, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 9, 9, 0, 10, 10, 10, 10, 0, 0, 11, 11, 11, 11, 0, 12, 12, 0, 2, 1, 1, 2, 0, 13, 13, 0, 13, 13, 0, 0, 0, 0, 0, 14, 14, 0, 14, 14, 0, 0, 0, 15, 15, 1, 1, 0, 16, 16, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 0, 0, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 2, 2, 13, 2, 2, 2, 2, 0, 0, 15, 2, 2, 2, 2, 0, 0, 17, 2, 2, 2, 2, 0, 0, 19, 2, 2, 2, 2, 21, 2, 2, 2, 2, 23, 2, 2, 16, 16, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 4, 4, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 3, 3, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 2, 4, 4, 4, 0, 2, 1, 1, 2, 2, 4, 4, 5, 0, 2, 1, 1, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 4, 4, 2, 1, 0, 0, 0, 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, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 3, 3, 5, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3 ]
[ 1070, 13625, 1188, 41829, 203, 465, 17787, 203, 465, 2361, 203, 1070, 485, 12487, 452, 1188, 622, 81, 1163, 203, 1070, 485, 12487, 452, 32, 11452, 1188, 308, 57, 12487, 452, 984, 30, 8073, 1612, 30, 9919, 5965, 30, 284, 7502, 5965, 30, 7813, 11063, 19497, 30, 3182, 25393, 30, 8073, 13784, 27, 203, 1070, 485, 12487, 452, 32, 31151, 1188, 570, 12487, 452, 12216, 30, 44492, 81, 521, 41790, 2893, 81, 12896, 203, 1070, 485, 12487, 452, 32, 678, 853, 1188, 25189, 22015, 203, 1070, 485, 12487, 452, 32, 2435, 1188, 570, 12487, 452, 2422, 203, 823, 570, 12487, 452, 1917, 26, 1473, 711, 284, 12654, 81, 15346, 280, 1665, 284, 23637, 81, 605, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 1326, 30, 11607, 30, 1542, 81, 3613, 47, 2700, 30, 3878, 47, 2521, 711, 291, 630, 32, 1357, 280, 1326, 291, 630, 32, 1160, 81, 3613, 280, 1542, 81, 3613, 291, 630, 32, 2613, 280, 622, 81, 1163, 463, 2613, 81, 3483, 370, 25189, 22015, 1157, 291, 630, 32, 4275, 280, 3878, 291, 630, 32, 10785, 280, 11607, 291, 630, 32, 11202, 81, 15346, 81, 14806, 280, 1665, 291, 630, 32, 11202, 81, 2435, 280, 1665, 291, 630, 32, 2751, 81, 605, 280, 330, 1337, 16453, 6305, 25, 291, 18595, 280, 630, 32, 371, 81, 28911, 346, 291, 636, 280, 630, 32, 371, 81, 4627, 81, 426, 346, 291, 8436, 280, 630, 32, 10785, 32, 2208, 81, 28911, 26, 28911, 30, 5932, 81, 2142, 47, 426, 27, 291, 630, 32, 1294, 81, 1132, 280, 8436, 710, 1294, 81, 1132, 785, 291, 630, 32, 5784, 280, 8436, 710, 5784, 785, 291, 630, 32, 5784, 32, 426, 81, 267, 81, 10785, 280, 8436, 710, 5784, 81, 426, 785, 291, 630, 32, 983, 81, 1132, 280, 8436, 710, 1132, 785, 291, 415, 8436, 710, 5266, 1643, 12132, 324, 630, 32, 14639, 681, 280, 8436, 710, 5266, 1643, 81, 14639, 785, 556, 8436, 710, 5266, 1643, 785, 291, 813, 44, 324, 630, 32, 14639, 681, 280, 630, 32, 14639, 681, 81, 7106, 346, 556, 630, 32, 1536, 81, 14639, 681, 284, 665, 622, 81, 1986, 26, 784, 711, 291, 2401, 81, 7127, 81, 1357, 280, 630, 32, 1357, 291, 12654, 81, 1267, 280, 1665, 291, 1596, 44, 324, 2401, 81, 7127, 81, 1357, 30, 12654, 81, 1267, 280, 630, 32, 5784, 32, 4526, 81, 1131, 81, 11202, 81, 2238, 26, 784, 32, 1357, 30, 630, 27, 291, 2940, 570, 12487, 452, 984, 619, 13489, 44, 324, 630, 32, 11202, 81, 15346, 81, 14806, 280, 13489, 324, 630, 32, 1357, 280, 2401, 81, 7127, 81, 1357, 291, 813, 44, 324, 630, 32, 1357, 280, 12654, 81, 1267, 4456, 415, 570, 12487, 452, 2422, 328, 827, 26, 11202, 81, 1267, 547, 95, 290, 2262, 324, 630, 32, 11202, 81, 2435, 280, 12654, 81, 1267, 324, 630, 32, 1357, 280, 2401, 81, 7127, 81, 1357, 291, 1789, 280, 630, 32, 371, 81, 48126, 81, 1986, 346, 291, 415, 630, 32, 20307, 81, 605, 44, 324, 1789, 280, 630, 32, 20307, 26, 784, 32, 20307, 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, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 4, 4, 5, 6, 8, 8, 8, 5, 5, 9, 10, 10, 8, 8, 10, 12, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 12, 13, 13, 13, 13, 12, 10, 10, 11, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 7, 8, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 10, 10, 10, 10, 9, 9, 10, 10, 8, 8, 11, 12, 10, 11, 11, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 10, 10, 5, 5, 6, 8, 8, 8, 7, 7, 6, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 7, 7, 10, 11, 9, 9, 10, 10, 10, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 10, 10, 4, 4, 5, 7, 7, 7, 6, 6, 10, 11, 11, 11, 10, 9, 9, 8, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 6, 6, 9, 10, 8, 8, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 10, 11, 10, 12, 11, 12, 12 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 2, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 0, 0, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 9, 2, 2, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 2, 4, 4, 15, 1, 1, 1, 2, 15, 15, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 15, 15, 4, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 3, 0, 0, 0, 1, 1, 3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 5, 1, 2, 2, 2, 5, 5, 5, 0, 0, 0, 2, 1, 0, 1, 2, 2 ]
[ 465, 2322, 203, 1070, 11319, 1188, 2899, 203, 1070, 484, 385, 7550, 1188, 12440, 101, 30, 7024, 203, 1070, 484, 385, 7550, 32, 89, 31195, 81, 2304, 1188, 622, 81, 1237, 81, 678, 81, 761, 203, 1070, 484, 385, 7550, 32, 1163, 1188, 308, 284, 37193, 30, 284, 1869, 43886, 81, 19435, 81, 40746, 30, 284, 3752, 14283, 81, 46139, 81, 40746, 203, 27, 203, 50, 2795, 203, 589, 1869, 22413, 81, 35599, 26, 2095, 30, 10512, 81, 426, 30, 1688, 81, 1515, 30, 3079, 81, 761, 20706, 4125, 81, 678, 81, 761, 347, 10280, 284, 645, 484, 385, 7550, 32, 419, 43886, 1188, 308, 291, 622, 81, 34569, 30, 291, 622, 81, 419, 43886, 81, 3604, 81, 605, 30, 291, 1487, 81, 34569, 81, 35599, 30, 291, 8471, 81, 2387, 30, 291, 10512, 81, 426, 81, 2592, 30, 284, 829, 284, 415, 646, 3079, 81, 761, 44, 291, 3079, 81, 761, 280, 8471, 81, 2387, 284, 415, 646, 4125, 81, 678, 81, 761, 44, 291, 4125, 81, 678, 81, 761, 280, 622, 81, 1237, 81, 678, 81, 761, 346, 284, 1688, 81, 1515, 280, 2322, 32, 983, 32, 21379, 26, 2024, 81, 1515, 27, 284, 14812, 280, 622, 81, 419, 43886, 81, 3604, 81, 605, 26, 1237, 81, 678, 81, 761, 47, 1237, 81, 678, 81, 761, 30, 3693, 81, 678, 47, 419, 43886, 81, 19435, 81, 40746, 77, 34, 1130, 284, 1596, 44, 291, 1869, 22413, 81, 605, 280, 622, 81, 34569, 26, 34569, 81, 426, 47, 6604, 81, 426, 30, 1869, 43886, 47, 18263, 30, 932, 81, 426, 47, 6604, 81, 426, 81, 2592, 27, 284, 2940, 3268, 44, 291, 3636, 25085, 440, 9752, 646, 2290, 706, 436, 1869, 22413, 2149, 35145, 1643, 26, 6604, 81, 426, 490, 284, 813, 44, 291, 296, 983, 280, 1487, 81, 34569, 81, 35599, 26, 34569, 81, 605, 30, 3079, 81, 761, 47, 2387, 81, 761, 30, 1688, 81, 1515, 47, 2024, 81, 1515, 27, 291, 1459, 440, 6873, 2149, 35145, 1643, 26, 88, 983, 490, 203, 50, 2795, 203, 589, 3752, 14283, 81, 17972, 26, 2095, 30, 3587, 692, 81, 426, 30, 1688, 81, 1515, 30, 3079, 81, 761, 20706, 4125, 81, 678, 81, 761, 347, 10280, 284, 645, 484, 385, 7550, 32, 3507, 14283, 1188, 622, 81, 3507, 14283, 81, 3604, 81, 605, 30, 622, 81, 45702, 30, 29942, 81, 2387, 81, 22747, 30, 1487, 81, 17972, 284, 415, 646, 3079, 81, 761, 44, 291, 3079, 81, 761, 280, 29942, 81, 2387, 81, 22747, 284, 415, 646, 4125, 81, 678, 81, 761, 44, 291, 4125, 81, 678, 81, 761, 280, 622, 81, 1237, 81, 678, 81, 761, 346, 284, 1688, 81, 1515, 280, 2322, 32, 983, 32, 21379, 26, 2024, 81, 1515, 27, 284, 14812, 280, 622, 81, 3507, 14283, 81, 3604, 81, 605, 26, 1237, 81, 678, 81, 761, 47, 1237, 81, 678, 81, 761, 30, 3693, 81, 678, 47, 3507, 14283, 81, 46139, 81, 40746, 77, 34, 1130, 284, 1596, 44, 291, 3587, 692, 81, 605, 280, 622, 81, 45702, 26, 45702, 81, 426, 47, 45702, 81, 426, 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, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 2, 3, 1, 2, 2, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 4, 6, 2, 2, 4, 6, 6, 5, 6, 6, 4, 4, 4, 4, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 6, 6, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 3, 3, 4, 5, 6, 6, 4, 4, 4, 8, 8, 7, 7, 8, 8, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 3, 3, 6, 6, 5, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 3, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 9, 10, 9, 3, 3, 4, 4, 4, 8, 8, 8, 7, 7, 9, 9, 9, 11, 11, 11, 10, 11, 11, 11, 9, 9, 11, 10, 11, 9, 9, 11, 11, 10, 11, 11, 11, 11, 11, 9, 4, 4, 5, 5, 5, 5, 7, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 12, 12, 11, 4, 4, 5, 5, 5, 9, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 12, 12, 11, 12, 12, 12, 10, 10, 12, 12, 11, 12, 12, 12, 10, 6, 6, 9, 13, 13, 13, 12, 11, 12, 12, 11, 0, 2, 3, 1, 2, 2, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 3, 5, 5, 4, 3, 5, 5, 5, 5, 4, 6, 2, 2, 4, 6, 6, 5, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 3, 3, 4, 5, 6, 6, 4, 4, 4, 8, 8, 7, 7, 8, 8, 8, 8, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 3, 3, 6, 6, 5, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 3, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 9, 10, 9, 3, 3, 4, 4, 4, 8, 8, 8, 7, 7, 9, 9, 9, 11, 11, 11, 10, 11, 11, 11, 9 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 5, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 0, 0, 0, 0, 9, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 2, 2, 1, 5, 5, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 5, 5, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 0, 0, 0, 0, 9, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 465, 5741, 203, 465, 2322, 203, 465, 16539, 203, 465, 5237, 203, 465, 1133, 203, 1070, 19241, 1188, 1359, 203, 1070, 19241, 1188, 4323, 81, 687, 203, 1070, 19241, 1188, 1245, 619, 1245, 1356, 203, 1070, 19241, 1188, 3089, 81, 9059, 203, 1070, 19241, 1188, 3089, 81, 1040, 203, 1070, 19241, 1188, 1420, 619, 1420, 1356, 203, 1070, 19241, 1188, 4527, 203, 751, 280, 5741, 32, 10579, 440, 13455, 657, 203, 1952, 81, 6323, 3539, 81, 47442, 280, 428, 284, 3037, 13455, 392, 313, 6173, 3439, 203, 79, 203, 10826, 81, 19794, 81, 14247, 81, 18382, 280, 225, 37, 34, 203, 3602, 81, 16718, 1392, 81, 21392, 81, 18382, 280, 225, 36, 203, 823, 8073, 3397, 1350, 26, 22239, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3089, 589, 30, 3124, 711, 291, 2599, 26, 3817, 3397, 1350, 30, 630, 14585, 1664, 3207, 520, 589, 30, 3124, 27, 291, 630, 32, 520, 589, 280, 3089, 589, 291, 630, 32, 2076, 280, 3124, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 32, 2076, 203, 823, 6833, 924, 26, 984, 711, 284, 3097, 203, 823, 11950, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 520, 612, 280, 1665, 291, 630, 32, 3515, 81, 1132, 280, 1605, 291, 630, 32, 3515, 81, 2121, 280, 2149, 291, 630, 32, 2055, 81, 2121, 280, 1605, 291, 630, 32, 1855, 687, 81, 8478, 280, 1605, 291, 630, 32, 1945, 81, 1515, 280, 1665, 291, 630, 32, 1945, 81, 10407, 280, 2149, 291, 630, 32, 11176, 280, 1605, 291, 630, 32, 18931, 280, 1665, 203, 823, 11950, 17760, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3219, 81, 2024, 81, 1367, 47, 2521, 30, 1420, 81, 16165, 47, 2521, 711, 291, 630, 32, 1664, 81, 2024, 81, 1367, 280, 3219, 81, 2024, 81, 1367, 291, 630, 32, 1945, 81, 16165, 280, 1420, 81, 16165, 203, 589, 617, 4383, 26, 426, 30, 3089, 30, 319, 4738, 81, 1132, 711, 284, 415, 3089, 32, 18931, 44, 291, 6596, 280, 18623, 26, 520, 32, 18931, 30, 636, 30, 1665, 27, 291, 415, 6596, 44, 324, 6596, 26, 520, 30, 319, 4738, 81, 1132, 27, 203, 589, 3219, 81, 1945, 26, 520, 30, 1420, 81, 1515, 47, 2521, 711, 284, 1420, 280, 617, 520, 81, 1664, 81, 9671, 81, 1945, 26, 520, 30, 1420, 81, 1515, 27, 284, 617, 520, 81, 1664, 81, 1945, 81, 10407, 26, 520, 30, 1420, 27, 284, 617, 4383, 440, 1945, 81, 16165, 392, 3089, 30, 1420, 27, 284, 442, 1420, 203, 589, 617, 520, 81, 1664, 81, 9671, 81, 1945, 26, 520, 30, 1420, 81, 1515, 711, 284, 1420, 81, 1515, 280, 1420, 81, 1515, 556, 3089, 32, 1945, 81, 1515, 284, 1420, 280, 3089, 81, 1040, 32, 1664, 81, 1945, 26, 1945, 81, 1515, 27, 284, 1245, 32, 2811, 440, 4332, 6183, 1420, 328, 904, 101, 392, 1420, 32, 1515, 27, 284, 1420, 32, 1664, 81, 1990, 342, 346, 284, 3089 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 0, 1, 1, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 4, 4, 4, 2, 1, 1, 3, 4, 5, 3, 3, 3, 6, 6, 8, 10, 9, 10, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 9, 10, 9, 9, 11, 11, 11, 9, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 2, 2, 5, 5, 7, 7, 7, 7, 5, 5, 5, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 5, 5, 6, 7, 7, 7, 2, 2, 4, 4, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 5, 2, 2, 5, 6, 6, 6, 6, 5, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 0, 0, 0, 9, 9, 9, 9, 3, 3, 2, 0, 10, 10, 10, 10, 0, 0, 0, 11, 11, 11, 11, 0, 0, 0, 12, 12, 12, 12, 3, 3, 2, 0, 13, 13, 13, 13, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 18, 18, 1, 1, 2, 1, 2, 18, 18, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 19, 19, 1, 2, 1, 2, 19, 19, 0, 20, 20, 2, 1, 2, 20, 20, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 21, 21, 1, 2, 1, 2, 21, 21, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 22, 22, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 22, 22, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 23, 23, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 23, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 3, 0, 24, 24, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 24, 24, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 4, 4 ]
[ 589, 10819, 26, 2963, 30, 2044, 1243, 711, 284, 9923, 1365, 10850, 81, 426, 1446, 280, 313, 1006, 81, 1189, 2966, 2920, 81, 37, 4549, 8480, 225, 37, 4549, 81, 35, 36, 34, 34, 106, 81, 1826, 444, 81, 36, 43, 43, 106, 36, 43, 43, 81, 17906, 6529, 383, 2573, 40, 20, 284, 9923, 1365, 2255, 81, 15002, 3096, 1446, 280, 2107, 36202, 370, 428, 34, 30, 37, 614, 428, 35, 30, 38, 614, 428, 36, 30, 39, 14941, 34, 30, 35, 30, 36, 14941, 37, 30, 38, 30, 39, 3212, 284, 310, 47, 34, 284, 9923, 1365, 3378, 15544, 96, 11159, 5613, 81, 426, 1446, 280, 313, 35, 36, 34, 34, 106, 81, 1826, 444, 81, 36, 43, 43, 106, 36, 43, 43, 20, 3701, 9923, 1365, 3378, 15544, 96, 11159, 15047, 1446, 280, 225, 36, 43, 43, 284, 9923, 1365, 3378, 15544, 96, 11159, 1160, 81, 681, 1446, 280, 330, 1275, 81, 26212, 81, 11179, 25, 284, 9923, 1365, 3378, 15544, 96, 11159, 5665, 81, 314, 1446, 280, 330, 1206, 1189, 40387, 81, 11179, 25, 284, 9923, 1365, 3378, 15544, 96, 11159, 1393, 81, 8101, 81, 5308, 81, 1521, 1446, 280, 225, 36, 284, 9923, 1365, 3378, 15544, 96, 11159, 17738, 1446, 280, 225, 37, 34, 34, 284, 9923, 1365, 3378, 15544, 96, 11159, 17906, 81, 5613, 1446, 280, 3177, 284, 9923, 1365, 3378, 6494, 1689, 26, 2044, 1243, 32, 2991, 1157, 284, 310, 47, 35, 284, 9923, 1365, 3378, 15544, 96, 11159, 5613, 81, 6805, 1446, 280, 225, 34, 3701, 9923, 1365, 3378, 15544, 96, 11159, 1160, 81, 681, 1446, 280, 330, 26212, 81, 2585, 25, 284, 9923, 1365, 3378, 15544, 96, 11159, 5665, 81, 314, 1446, 280, 330, 1206, 1189, 40387, 81, 26212, 81, 2585, 25, 284, 9923, 1365, 3378, 15544, 96, 11159, 1393, 81, 8101, 81, 5308, 81, 1521, 1446, 280, 225, 36, 284, 9923, 1365, 3378, 15544, 96, 11159, 17738, 1446, 280, 225, 37, 34, 34, 284, 9923, 1365, 3378, 15544, 96, 11159, 17906, 81, 5613, 1446, 280, 3177, 284, 9923, 1365, 3378, 6494, 1689, 26, 2044, 1243, 32, 2991, 1157, 284, 310, 47, 36, 284, 9923, 1365, 3378, 15544, 96, 11159, 5613, 81, 6805, 1446, 280, 225, 34, 3701, 9923, 1365, 3378, 15544, 96, 11159, 1160, 81, 681, 1446, 280, 330, 6656, 81, 28873, 81, 1793, 81, 1393, 25, 284, 9923, 1365, 3378, 15544, 96, 11159, 5665, 81, 314, 1446, 280, 330, 1206, 1189, 40387, 81, 1275, 81, 2585, 25, 284, 9923, 1365, 3378, 15544, 96, 11159, 1393, 81, 8101, 81, 5308, 81, 1521, 1446, 280, 225, 36, 284, 9923, 1365, 3378, 15544, 96, 11159, 17738, 1446, 280, 225, 37, 34, 34, 284, 9923, 1365, 3378, 15544, 96, 11159, 17906, 81, 5613, 1446, 280, 3177, 284, 9923, 1365, 3378, 6494, 1689, 26, 2044, 1243, 32, 2991, 1157, 284, 310, 47, 37, 284, 9923, 1365, 3378, 15544, 96, 11159, 5613, 81, 6805, 1446, 280, 429, 35, 3701, 9923, 1365, 3378, 15544, 96, 11159, 5613, 81, 426, 1446, 280, 313, 35, 36, 34, 34, 106, 81, 1826, 444, 81, 36, 43, 43, 106, 36, 43, 43 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 5, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 6, 7, 6, 5, 7, 6, 7, 6, 5, 7, 6, 7, 6, 7, 6, 7, 6, 7, 6, 7, 6, 7, 6, 7, 6, 2, 2, 4, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 7, 9, 9, 7, 6, 7, 7, 4, 4, 5, 5, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 4, 4, 5, 5, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 2, 2, 6, 8, 8, 6, 5, 8, 8, 7, 8, 7, 2, 2, 4, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 4, 4, 5, 5, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 2, 2, 6, 8, 8, 6, 5, 8, 8, 7, 8, 7, 2, 2, 4, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 4, 4, 5, 5, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 2, 2, 6, 8, 8, 6, 5, 8, 8, 7, 8, 7, 2, 2, 4, 5, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 6, 2, 2, 7, 9, 9, 7, 6, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 2, 1, 2, 3, 3, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 3, 3, 3, 2, 1, 5, 3, 5, 2, 1, 7, 3, 7, 1, 9, 3, 9, 5, 9, 1, 11, 3, 11, 5, 11, 4, 4, 0, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 4, 4, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 4, 4, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 4, 4, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 4, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 316, 203, 465, 5237, 203, 465, 27798, 980, 21768, 203, 465, 1491, 928, 203, 1070, 6612, 5501, 1188, 6612, 5501, 203, 1070, 1688, 5501, 1188, 1688, 5501, 203, 3365, 10555, 280, 6612, 5501, 440, 6545, 676, 28114, 1600, 706, 308, 1405, 11248, 783, 30, 3907, 2955, 1194, 30, 5774, 7447, 657, 203, 541, 10555, 280, 1688, 5501, 440, 6545, 1688, 803, 636, 7788, 203, 3365, 5501, 280, 2156, 26, 3365, 10555, 2360, 100, 657, 203, 3365, 5501, 32, 25637, 346, 225, 203, 374, 280, 5102, 5501, 32, 25637, 922, 2998, 346, 225, 203, 3804, 280, 428, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 79, 203, 325, 2069, 26, 374, 27, 610, 225, 35, 44, 284, 1024, 280, 1897, 26, 374, 77, 34, 1130, 284, 436, 595, 328, 2155, 26, 37, 711, 291, 5247, 77, 91, 79, 280, 1024, 203, 1824, 44, 284, 415, 2069, 26, 374, 27, 610, 225, 37, 44, 291, 436, 595, 328, 2155, 26, 37, 711, 324, 5247, 77, 91, 79, 280, 1897, 26, 374, 77, 91, 1130, 203, 4474, 5486, 280, 3813, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 14941, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 14941, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 3212, 203, 979, 595, 328, 2155, 26, 37, 711, 284, 1024, 280, 5102, 5501, 32, 25637, 922, 2998, 346, 284, 436, 594, 328, 2155, 26, 37, 711, 291, 7678, 5486, 77, 91, 1674, 92, 79, 280, 1897, 26, 374, 77, 92, 39207, 3804, 77, 92, 79, 203, 1216, 7678, 5486, 203, 862, 7678, 5486, 77, 34, 1674, 36, 79, 2511, 225, 35, 32, 34, 87, 31, 42, 203, 862, 7678, 5486, 77, 35, 1674, 36, 79, 2511, 225, 35, 32, 34, 87, 31, 42, 203, 862, 7678, 5486, 77, 36, 1674, 34, 79, 2511, 225, 35, 32, 34, 87, 31, 42, 203, 862, 7678, 5486, 77, 36, 1674, 35, 79, 2511, 225, 35, 32, 34, 87, 31, 42, 203, 374, 280, 5102, 5501, 32, 25637, 922, 2998, 346, 203, 325, 316, 32, 2872, 9670, 34, 31, 43, 9166, 374, 77, 34, 997, 7201, 22805, 284, 310, 16452, 280, 2069, 26, 374, 27, 284, 310, 20029, 280, 225, 34, 284, 436, 595, 328, 2155, 26, 96, 16452, 711, 291, 1024, 77, 91, 79, 280, 629, 26, 374, 77, 91, 1130, 291, 310, 20029, 280, 310, 20029, 474, 1024, 77, 91, 79, 203, 1824, 44, 284, 1024, 280, 5102, 5501, 32, 25637, 922, 2998, 346, 284, 310, 16452, 280, 2069, 26, 374, 27, 284, 310, 20029, 280, 225, 34, 284, 436, 595, 328, 2155, 26, 96, 16452, 711, 291, 1024, 77, 91, 79, 280, 629, 26, 374, 77, 91, 1130, 291, 310, 20029, 280, 310, 20029, 474, 1024, 77, 91, 79, 203, 1216, 310, 20029, 203, 3365, 5501, 32, 25637, 346, 225, 203, 979, 595, 328, 2155, 26, 96, 20029, 29, 35, 711, 284, 5102, 5501, 32, 25637, 346, 225, 203, 3365, 280, 5102, 5501, 32, 25637, 922, 2998, 346, 203, 979, 595, 328, 2155, 26, 1657, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 3, 3, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 0, 4, 4, 3, 4, 3, 0, 0, 3, 2, 2, 7, 6, 7, 6, 5, 4, 0, 0, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 1, 1, 4, 5, 4, 2, 2, 3, 1, 1, 1, 4, 4, 6, 8, 7, 8, 7, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 7, 8, 7, 6, 6, 1, 2, 2, 2, 2, 4, 7, 8, 7, 5, 5, 6, 4, 4, 4, 6, 6, 6, 8, 9, 8, 6, 6, 10, 11, 10, 9, 9, 11, 13, 12, 13, 12, 0, 3, 3, 2, 2, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 0, 1, 1, 1, 1, 3, 4, 3, 1, 1, 4, 4, 9, 8, 9, 8, 7, 6, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 9, 8, 9, 8, 8, 7, 6, 6, 9, 11, 10, 11, 10, 9, 8, 9, 8, 0, 1, 1, 2, 0, 1, 1, 5, 4, 5, 4, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 5, 4, 5, 4, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 5, 4, 5, 4, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 5, 4, 5, 4, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 7, 6, 7, 6, 5, 4, 0, 1, 1, 3, 4, 3, 5, 5, 5, 5, 7, 6, 7, 6, 6, 5, 1, 1, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 5, 2, 2, 3, 3, 3, 5, 6, 6, 5, 3, 3, 7, 8, 7, 6, 6, 8, 10, 9, 10, 9, 4, 4, 7, 6, 6, 8, 7, 7, 8, 9, 8, 1, 2, 2, 2, 2, 5, 5, 10, 9, 10, 9, 8, 7, 3, 3, 6, 5, 5, 7, 8, 7, 3, 3, 6, 5, 5, 6, 3, 3, 4, 4, 4, 6, 7, 7, 6, 4, 4, 8, 9, 8, 7, 7, 9, 11, 10, 11, 10, 5, 5, 8, 7, 7, 9, 8, 8, 9, 10, 9, 0, 1, 1, 2, 0, 4, 4, 3, 4, 3, 0, 0, 1, 1, 1, 1, 3, 5, 5, 4, 5, 3, 1, 1, 6, 5, 6, 5, 0, 0, 3, 2, 2, 7, 6, 7, 6, 5, 4, 0, 1, 1, 1, 1, 3, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 3, 2, 5, 5, 5, 2, 0, 12, 12, 1, 1, 1, 1, 1, 2, 12, 12, 12, 0, 0, 1, 0, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 12, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 5, 5, 5, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 5, 5, 3, 1, 1, 1, 5, 3, 3, 3, 5, 5, 5, 5, 5, 0, 14, 14, 14, 14, 1, 1, 1, 14, 14, 0, 0, 0, 0, 2, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 15, 15, 1, 0, 16, 16, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 17, 17, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 18, 18, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 19, 19, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 21, 21, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 21, 21, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 2, 3, 3, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 2, 21, 4, 4, 4, 4, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 3, 3, 3, 1, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 22, 22, 1, 0, 0, 0, 0, 2, 1, 0, 0, 24, 24, 24, 24, 1, 0, 0, 1, 2, 1, 24, 24, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 26, 26, 26, 26, 1, 0, 1 ]
[ 465, 13625, 203, 465, 31074, 203, 465, 2361, 203, 465, 2322, 203, 465, 45301, 983, 203, 465, 316, 203, 465, 1133, 203, 1070, 4134, 1188, 5601, 18241, 203, 1070, 7138, 1188, 7138, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 2194, 34747, 203, 1070, 8527, 32, 1262, 32, 2536, 32, 4219, 1188, 1244, 81, 4219, 619, 4759, 203, 1070, 8527, 32, 1199, 1188, 4549, 30, 6141, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 506, 30, 7462, 30, 1910, 30, 20719, 619, 3082, 28771, 203, 1070, 8527, 32, 7147, 1188, 13564, 203, 1070, 8527, 32, 2304, 32, 18651, 1188, 10814, 81, 2433, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1630, 81, 4543, 30, 1044, 33170, 81, 10629, 619, 617, 203, 465, 22142, 32, 1439, 619, 22142, 203, 1070, 8527, 81, 9081, 32, 1199, 32, 4151, 32, 1260, 1188, 3398, 1176, 203, 1070, 8527, 81, 5136, 86, 32, 13606, 1188, 8616, 86, 203, 1070, 594, 17321, 36, 32, 9211, 1188, 745, 81, 2665, 3323, 203, 465, 337, 631, 317, 905, 32, 1262, 32, 4073, 203, 1070, 337, 631, 317, 905, 1188, 8790, 30, 312, 775, 30, 5296, 203, 1070, 337, 631, 317, 905, 32, 24951, 32, 3378, 1188, 308, 284, 12441, 888, 1176, 30, 2704, 1791, 13976, 30, 3678, 1761, 30, 10702, 1761, 30, 13244, 81, 1174, 27, 203, 1070, 337, 631, 317, 905, 32, 3560, 1188, 32634, 203, 1070, 337, 631, 317, 905, 32, 23403, 32, 2304, 1188, 308, 284, 622, 81, 42717, 86, 81, 3631, 30, 622, 81, 21340, 81, 3631, 30, 4450, 81, 16662, 81, 12324, 27, 203, 1070, 337, 631, 317, 905, 32, 24951, 1188, 18564, 203, 1070, 337, 631, 317, 905, 32, 24951, 32, 28497, 1188, 793, 81, 2590, 30, 2866, 203, 1070, 337, 631, 317, 905, 32, 24951, 32, 2304, 1188, 308, 284, 12386, 81, 1545, 81, 2665, 30, 3320, 81, 2425, 81, 678, 30, 7311, 318, 30, 284, 1289, 81, 7485, 30, 3240, 81, 2200, 30, 17310, 1147, 30, 8594, 81, 24850, 30, 8759, 30, 372, 81, 4189, 30, 284, 1984, 2132, 30, 2290, 81, 4189, 30, 399, 2396, 3265, 8770, 27, 203, 1070, 337, 631, 317, 905, 32, 24951, 32, 965, 46751, 1188, 622, 81, 37078, 81, 965, 30, 10156, 203, 1070, 337, 631, 317, 905, 32, 9777, 32, 6956, 1188, 390, 17847, 40723, 30, 390, 17847, 40723, 81, 6265, 81, 779, 203, 1070, 337, 631, 317, 905, 32, 2536, 32, 3378, 1188, 2032, 203, 1070, 337, 631, 317, 905, 32, 2536, 32, 2304, 1188, 308, 284, 6571, 81, 22902, 30, 5889, 81, 91, 35, 42, 96, 81, 1436, 30, 3185, 81, 16662, 27, 203, 1070, 337, 631, 317, 905, 32, 17288, 32, 3378, 1188, 15054, 203, 1070, 337, 631, 317, 905, 32, 3963, 32, 3378, 1188, 9130, 203, 1070, 337, 631, 317, 905, 32, 22902, 32, 4151, 1188, 308, 284, 6116, 1639, 1176, 30, 18887, 1639, 1176, 30, 4131, 81, 7295, 30, 3556, 11629, 1176, 30, 27327, 27, 203, 1070, 337, 631, 317, 905, 32, 3707, 32, 3378, 1188, 2680, 13343, 30, 2680, 4290, 203, 1070 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 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, 4, 4, 4, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 0, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 0, 8, 8, 8, 8, 0, 9, 9, 1, 2, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 11, 11, 1, 2, 1, 4, 1, 6, 11, 11, 0, 0, 3, 3, 0, 12, 12, 1, 2, 12, 12, 12, 12, 0, 13, 13, 1, 2, 1, 4, 13, 13, 13, 13, 13, 13, 13, 13, 9, 9, 2, 0, 14, 14, 1, 2, 14, 14, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 16, 16, 0, 0, 0, 5, 5, 0, 17, 17, 0, 2, 1, 1, 0, 18, 18, 0, 0, 1, 2, 1, 4, 1, 6, 18, 18, 0, 0, 19, 19, 0, 0, 0, 1, 2, 19, 19, 0, 0, 20, 20, 0, 0, 1, 2, 20, 20, 0, 0, 0, 0, 21, 21, 0, 0, 0, 1, 2, 1, 4, 0, 22, 22, 0, 0, 0, 22, 22, 22, 22, 0, 22, 22, 0, 23, 23, 0, 0, 0, 1, 2, 1, 4, 23, 23, 23, 23, 0, 0, 23, 23, 0, 0, 23, 23, 0, 23, 23, 0, 23, 23, 0, 0, 23, 0, 24, 24, 0, 0, 0, 1, 2, 24, 24, 0, 25, 25, 0, 0, 0, 1, 2, 1, 4, 25, 25, 25, 25, 0, 0, 0, 0, 0, 25, 25, 0, 0, 0, 0, 25, 25, 0, 0, 0, 0, 25, 0, 26, 26, 0, 0, 0, 1, 2, 26, 26, 0, 27, 27, 0, 0, 0, 1, 2, 1, 4, 27, 27, 0, 0, 27, 27, 0, 28, 28, 0, 0, 0, 1, 2, 1, 4, 28, 28, 28, 28, 0, 0, 0, 0, 28, 28, 0, 0, 0, 0, 28, 28, 0, 28, 28, 28, 0, 0, 28, 28, 0, 0, 28, 28, 0, 28, 28, 0, 0, 28, 28, 28, 28, 0, 0, 28, 28, 28, 0, 28, 28, 0, 0, 28, 28, 0, 0, 0, 28, 0, 29, 29, 0, 0, 0, 1, 2, 1, 4, 4, 29, 29, 0, 0, 0, 0, 29, 29, 0, 30, 30, 0, 0, 0, 1, 2, 1, 4, 30, 30, 0, 0, 30, 30, 0, 0, 0, 0, 0, 0, 0, 31, 31, 0, 0, 0, 1, 2, 1, 4, 31, 31, 0, 32, 32, 0, 0, 0, 1, 2, 1, 4, 32, 32, 32, 32, 0, 0, 32, 32, 0, 0, 0, 0, 0, 0, 0, 32, 32, 0, 0, 32, 0, 33, 33, 0, 0, 0, 1, 2, 1, 4, 33, 33, 0, 34, 34, 0, 0, 0, 1, 2, 1, 4, 34, 34, 0, 35, 35, 0, 0, 0, 1, 2, 1, 4, 35, 35, 35, 35, 0, 0, 35, 35, 0, 0, 35, 35, 0, 0, 35, 35, 0, 0, 35, 35, 35, 0, 36, 36, 0, 0, 0, 1, 2, 1, 4, 36, 36, 0, 36, 36, 0, 0, 37 ]
[ 465, 25679, 203, 465, 316, 261, 203, 465, 18792, 203, 1070, 15559, 2238, 81, 3209, 81, 18949, 32, 5983, 1188, 8145, 203, 823, 358, 1069, 66, 1069, 1006, 26, 1473, 711, 284, 2156, 1237, 81, 2516, 280, 301, 291, 330, 11592, 81, 267, 81, 731, 950, 330, 2420, 370, 291, 330, 7149, 950, 330, 2420, 25, 284, 320, 284, 3879, 81, 1110, 280, 301, 291, 330, 11592, 81, 267, 81, 731, 950, 330, 11592, 81, 267, 81, 731, 370, 291, 330, 7149, 950, 330, 7149, 25, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 7658, 81, 267, 81, 731, 47, 2521, 30, 8137, 47, 2521, 30, 2196, 81, 6862, 81, 5983, 47, 2521, 711, 16189, 415, 2196, 81, 6862, 81, 5983, 438, 1665, 44, 324, 2196, 81, 6862, 81, 5983, 280, 8145, 346, 291, 630, 32, 1696, 81, 6862, 81, 5983, 280, 2196, 81, 6862, 81, 5983, 291, 630, 1114, 11592, 81, 267, 81, 731, 280, 1665, 291, 630, 1114, 7149, 280, 1665, 291, 630, 32, 1285, 21999, 280, 1665, 291, 415, 7658, 81, 267, 81, 731, 438, 646, 1665, 44, 324, 630, 32, 11592, 81, 267, 81, 731, 280, 7658, 81, 267, 81, 731, 291, 415, 8137, 438, 646, 1665, 44, 324, 630, 32, 7149, 280, 8137, 284, 477, 2433, 284, 665, 7658, 81, 267, 81, 731, 26, 784, 711, 291, 442, 630, 1114, 11592, 81, 267, 81, 731, 284, 477, 11592, 81, 267, 81, 731, 32, 16527, 284, 665, 7658, 81, 267, 81, 731, 26, 784, 30, 7658, 81, 267, 81, 731, 711, 291, 630, 1114, 11592, 81, 267, 81, 731, 280, 7658, 81, 267, 81, 731, 284, 477, 2433, 284, 665, 8137, 26, 784, 711, 291, 442, 630, 1114, 7149, 284, 477, 7149, 32, 16527, 284, 665, 8137, 26, 784, 30, 8137, 711, 291, 630, 1114, 7149, 280, 8137, 284, 665, 372, 81, 2665, 26, 784, 711, 291, 1056, 280, 2149, 291, 436, 5601, 30, 617, 328, 18792, 32, 40957, 26, 784, 32, 13933, 81, 2516, 711, 324, 786, 280, 18623, 26, 784, 30, 5601, 27, 324, 415, 6937, 26, 853, 30, 1149, 711, 400, 1056, 77, 2437, 79, 280, 1149, 26, 1110, 26, 528, 9254, 816, 44, 816, 32, 452, 81, 2665, 346, 415, 19326, 26, 106, 30, 313, 452, 81, 2665, 657, 813, 816, 30, 528, 786, 400, 9658, 324, 4348, 19326, 26, 853, 30, 313, 452, 81, 2665, 10280, 400, 1056, 77, 2437, 79, 280, 786, 32, 452, 81, 2665, 346, 324, 4348, 6937, 26, 853, 30, 5436, 711, 400, 1056, 77, 2437, 79, 280, 5436, 26, 1110, 26, 528, 9254, 1623, 44, 308, 1094, 77, 34, 614, 1623, 77, 35, 997, 452, 81, 2665, 1157, 528, 415, 19326, 26, 1094, 77, 35, 614, 313, 452, 81, 2665, 657, 813, 1623, 30, 528, 786, 32, 3028, 346, 400, 9658, 324, 813, 44, 400, 1056, 77, 2437, 79, 280, 786, 291, 442, 1056, 284, 665, 372, 81, 466, 26, 784, 711, 291, 442, 25679, 32, 98, 1643, 26, 784, 32, 452, 81, 2665, 1157, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 630, 32, 452 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 6, 6, 5, 6, 4, 3, 3, 5, 7, 7, 7, 7, 6, 6, 5, 5, 5, 9, 9, 9, 9, 8, 8, 10, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 5, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 8, 8, 2, 2, 6, 6, 6, 6, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 4, 4, 8, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 6, 5, 6, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 8, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 9, 8, 9, 9, 9, 7, 5, 5, 8, 8, 10, 11, 10, 10, 10, 6, 6, 7, 9, 10, 9, 9, 9, 7, 7, 11, 12, 11, 10, 10, 12, 14, 14, 14, 14, 15, 15, 15, 18, 19, 19, 19, 18, 16, 16, 18, 19, 18, 18, 20, 20, 20, 20, 16, 16, 14, 14, 14, 14, 14, 7, 7, 8, 10, 11, 10, 10, 12, 12, 12, 12, 8, 8, 12, 13, 12, 11, 11, 13, 14, 14, 14, 13, 7, 7, 8, 10, 11, 10, 10, 10, 8, 8, 12, 13, 12, 11, 11, 13, 15, 15, 15, 15, 16, 16, 16, 20, 19, 20, 19, 18, 21, 22, 21, 21, 21, 21, 20, 17, 17, 17, 19, 21, 20, 21, 20, 19, 21, 21, 21, 21, 17, 17, 15, 15, 15, 17, 18, 17, 15, 15, 7, 7, 8, 8, 8, 12, 13, 12, 11, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 0, 0, 7, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 5, 0, 0, 0, 0, 1, 1, 1, 5, 5, 5, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 6, 1, 1, 1, 6, 6, 6, 0, 2, 0, 0, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 5, 5, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 0, 1, 2, 6, 6, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 5, 5, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 3, 3, 3, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 6, 6, 6, 0, 2, 0, 0, 0, 4, 4, 2, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 9, 1, 1, 1, 2, 9, 9, 0, 0, 2 ]
[ 1070, 31074, 1188, 8241, 203, 465, 2322, 203, 465, 45301, 983, 203, 1070, 343, 32261, 2531, 1188, 343, 3963, 203, 1070, 343, 32261, 2531, 1188, 337, 509, 31645, 203, 1070, 343, 32261, 2531, 1188, 29969, 203, 1070, 343, 32261, 2531, 1188, 2604, 4243, 203, 589, 2552, 26, 2388, 983, 30, 1561, 30, 7112, 711, 284, 415, 45301, 983, 32, 34103, 26, 1617, 711, 291, 1561, 280, 29969, 32, 850, 1204, 26, 1617, 27, 291, 2322, 32, 39166, 26, 28950, 983, 32, 21379, 26, 1617, 471, 7112, 27, 291, 343, 3963, 32, 669, 81, 2142, 26, 1617, 30, 2604, 4243, 32, 983, 36, 2142, 26, 2388, 983, 30, 7112, 490, 284, 813, 44, 291, 2322, 32, 1204, 26, 1617, 30, 7112, 27, 203, 589, 33599, 26, 2388, 983, 30, 1519, 711, 284, 1760, 280, 1519, 284, 415, 45301, 983, 32, 34103, 26, 1977, 711, 291, 415, 646, 45301, 983, 32, 297, 1204, 26, 1977, 711, 324, 5911, 280, 343, 3963, 32, 668, 81, 3963, 26, 1977, 27, 324, 415, 646, 5911, 44, 400, 3636, 337, 509, 31645, 32, 297, 81, 83, 81, 5660, 26, 1977, 27, 324, 12947, 81, 16142, 280, 2604, 4243, 32, 2142, 36, 983, 26, 2388, 983, 30, 5911, 77, 34, 1130, 324, 12947, 81, 1515, 26, 2388, 983, 30, 12947, 81, 16142, 27, 324, 1201, 45301, 983, 32, 297, 1204, 26, 1977, 27, 291, 343, 3963, 32, 2546, 81, 2142, 26, 1977, 30, 2604, 4243, 32, 983, 36, 2142, 26, 2388, 983, 30, 1760, 490, 284, 2322, 32, 23754, 26, 1977, 27, 203, 589, 16144, 26, 2388, 983, 30, 1561, 30, 7112, 711, 284, 2552, 26, 2388, 983, 30, 1561, 30, 7112, 27, 284, 33599, 26, 2388, 983, 30, 1561, 27, 203, 589, 12947, 81, 1515, 26, 2388, 983, 30, 1519, 711, 284, 1760, 280, 1519, 284, 415, 45301, 983, 32, 297, 1204, 26, 1977, 27, 461, 45301, 983, 32, 34103, 26, 1977, 711, 291, 2442, 280, 1760, 291, 2017, 280, 29969, 32, 850, 1204, 26, 1977, 27, 291, 2442, 81, 2142, 280, 2604, 4243, 32, 983, 36, 2142, 26, 2388, 983, 30, 2442, 27, 291, 2017, 81, 2142, 280, 2604, 4243, 32, 983, 36, 2142, 26, 2388, 983, 30, 2017, 27, 291, 343, 3963, 32, 2546, 81, 2142, 26, 7020, 30, 2442, 81, 2142, 27, 291, 343, 3963, 32, 669, 81, 2142, 26, 7020, 30, 2017, 81, 2142, 27, 291, 2322, 32, 23754, 26, 7020, 27, 291, 2322, 32, 13141, 26, 13636, 30, 2442, 27, 291, 2322, 32, 39166, 26, 7020, 30, 2017, 27, 284, 813, 44, 291, 3636, 10091, 44805, 438, 646, 312, 27625, 372, 312, 3362, 2473, 1643, 26, 1977, 490, 203, 589, 1149, 81, 7676, 26, 1393, 30, 1519, 711, 284, 1760, 280, 1519, 284, 436, 308, 1515, 983, 30, 4921, 4243, 30, 26719, 27, 328, 2322, 32, 11905, 26, 1393, 711, 291, 436, 636, 328, 8241, 26, 1515, 4243, 30, 26719, 711, 324, 16765, 280, 45301, 983, 32, 2524, 26, 1515, 983, 30, 636, 27, 324, 415, 45301, 983, 32, 8786, 761, 26, 1977, 30, 16765, 711, 400, 6761, 16765, 203, 589, 4131, 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, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 3, 6, 5, 6, 5, 6, 5, 3, 3, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 7, 8, 7, 10, 10, 9, 10, 9, 10, 9, 7, 7, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 7, 10, 9, 10, 10, 10, 9, 10, 10, 9, 9, 9, 3, 3, 4, 4, 4, 8, 9, 8, 9, 8, 8, 8, 0, 1, 1, 2, 3, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 6, 5, 6, 5, 6, 5, 3, 3, 5, 6, 9, 8, 9, 9, 8, 9, 8, 5, 5, 8, 8, 11, 10, 11, 11, 11, 10, 11, 10, 6, 6, 7, 8, 7, 7, 7, 9, 12, 12, 11, 12, 12, 12, 12, 12, 11, 12, 11, 6, 6, 9, 9, 8, 8, 11, 10, 11, 11, 11, 10, 11, 11, 10, 10, 11, 12, 11, 6, 6, 9, 9, 9, 10, 10, 9, 9, 10, 10, 9, 6, 6, 7, 10, 9, 10, 10, 9, 10, 9, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 7, 10, 9, 10, 10, 10, 9, 10, 10, 9, 9, 9, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 6, 6, 5, 5, 5, 5, 5, 2, 2, 5, 6, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 7, 6, 7, 7, 6, 7, 6, 4, 4, 7, 6, 7, 6, 7, 6, 3, 3, 6, 6, 4, 4, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 9, 9, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 9, 9, 8, 8, 8, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 3, 3, 4, 4, 4, 6, 8, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 10, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 5, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 5, 6, 5, 3, 3, 5, 5, 5, 7, 8, 8, 7, 7, 7, 5, 5, 8, 8, 11, 10, 11, 10, 11, 11, 10, 10, 10, 6, 6, 7, 10, 9, 10, 10, 9, 10, 9, 9, 9, 7, 7, 10, 0, 1, 1, 2 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 2, 1, 1, 2, 2, 2, 2, 2, 7, 7, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 8, 8, 2, 1, 1, 2, 2, 2, 8, 8, 0, 0, 4, 4, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 2, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 4, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 9, 9, 2, 1, 1, 2, 2, 2, 2, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 2, 1, 1, 2, 2, 2, 10, 10, 0, 0, 4, 4, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 11, 11, 1, 1, 2, 1, 2, 2, 2, 11, 11, 0, 0, 4, 4, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 12, 12, 1 ]
[ 1070, 638, 1188, 15190, 1212, 203, 1070, 632, 63, 32, 6054, 1188, 17697, 203, 1070, 632, 63, 32, 2727, 1188, 6687, 203, 1070, 632, 63, 32, 5717, 32, 1514, 1188, 5447, 203, 1070, 632, 63, 32, 5717, 32, 2863, 1188, 4107, 203, 1070, 632, 63, 32, 7314, 32, 5374, 1188, 19078, 203, 1070, 632, 63, 32, 1074, 32, 2060, 32, 22046, 1188, 26224, 203, 1070, 632, 63, 32, 1074, 32, 3121, 6536, 1188, 9438, 6536, 203, 823, 10018, 3297, 26, 7314, 1212, 32, 7314, 1212, 711, 284, 3139, 6353, 280, 225, 35, 284, 1593, 6353, 280, 225, 36, 284, 1410, 6353, 280, 225, 37, 284, 2523, 6353, 280, 225, 38, 284, 3367, 6353, 280, 225, 39, 284, 39240, 1514, 280, 5447, 26, 34, 32, 39, 30, 225, 34, 32, 39, 30, 225, 34, 32, 39, 30, 225, 35, 32, 34, 27, 284, 1593, 6353, 1514, 280, 5447, 26, 35, 32, 34, 30, 225, 34, 32, 34, 30, 225, 34, 32, 34, 30, 225, 35, 32, 34, 27, 284, 1410, 6353, 1514, 280, 5447, 26, 34, 32, 34, 30, 225, 34, 32, 34, 30, 225, 35, 32, 34, 30, 225, 35, 32, 34, 27, 284, 2523, 6353, 1514, 280, 5447, 26, 34, 32, 34, 30, 225, 35, 32, 34, 30, 225, 34, 32, 34, 30, 225, 35, 32, 34, 27, 284, 3367, 6353, 1514, 280, 5447, 26, 35, 32, 34, 30, 225, 35, 32, 34, 30, 225, 35, 32, 34, 30, 225, 35, 32, 34, 27, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 280, 1665, 711, 291, 2599, 17094, 1664, 3207, 2544, 27, 291, 630, 1114, 7608, 280, 6687, 32, 7426, 922, 371, 1917, 922, 371, 7314, 346, 291, 630, 1114, 12853, 81, 7174, 280, 1665, 291, 630, 1114, 928, 81, 7174, 280, 1665, 291, 630, 1114, 8319, 81, 7174, 280, 1665, 291, 630, 1114, 10944, 280, 1665, 291, 630, 1114, 8884, 81, 2452, 280, 1665, 291, 630, 1114, 2480, 81, 5082, 280, 1665, 291, 630, 1114, 2837, 81, 3804, 280, 2933, 291, 630, 32, 470, 20763, 26594, 26, 2700, 27, 291, 19078, 32, 8319, 7056, 3650, 32, 3517, 26, 784, 1114, 267, 5374, 7056, 3650, 27, 284, 665, 622, 1811, 6938, 26, 784, 711, 291, 442, 630, 1114, 928, 81, 7174, 284, 665, 739, 1811, 6938, 26, 784, 30, 9526, 711, 291, 630, 1114, 928, 81, 7174, 280, 9526, 291, 630, 32, 7174, 750, 3650, 32, 7911, 26, 784, 27, 284, 665, 622, 19453, 6938, 26, 784, 711, 291, 442, 630, 1114, 12853, 81, 7174, 284, 665, 739, 19453, 6938, 26, 784, 30, 9526, 711, 291, 630, 1114, 12853, 81, 7174, 280, 9526, 291, 630, 32, 7174, 750, 3650, 32, 7911, 26, 784, 27, 284, 665, 622, 5374, 6938, 26, 784, 711, 291, 442, 630, 1114, 8319, 81, 7174, 284, 665, 739, 5374, 6938, 26, 784, 30, 9526, 711, 291, 630, 1114, 8319, 81, 7174, 280, 9526, 291, 630, 32, 7174, 750, 3650, 32, 7911, 26, 784, 27, 284, 665, 622, 6334, 26, 784, 711, 291, 442, 630, 1114, 10944, 284, 665, 2908, 26, 784, 30, 13100, 711, 291, 415, 646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 5, 2, 2, 5, 4, 4, 5, 2, 2, 5, 4, 4, 5, 2, 2, 5, 4, 4, 5, 2, 2, 5, 4, 4, 5, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 12, 13, 12, 11, 11, 10, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 4, 7, 7, 0, 0, 8, 8, 1, 2, 0, 0, 1, 2, 2, 2, 8, 8, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 10, 1, 1, 1, 2, 2, 3, 3, 2, 10, 10, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 2, 2, 2, 4, 4, 12, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 13, 1, 1, 2, 1, 2, 13, 13, 0, 1, 2, 2, 2, 4, 4, 14, 1, 1, 2, 1, 2, 2, 2, 14, 14, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 15, 1, 1, 2, 1, 2, 15, 15, 0, 1, 2, 2, 2, 4, 4, 16, 1, 1, 2, 1, 2, 2, 2, 16, 16, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 17, 1, 2, 1, 2, 17, 17, 0, 1, 2, 4, 4, 18, 2, 1, 2, 2, 2, 18, 18, 0 ]
[ 1070, 29947, 1188, 4705, 203, 465, 2322, 203, 589, 3185, 81, 15965, 2262, 284, 1519, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 313, 15965, 32, 2760, 657, 284, 3616, 101, 280, 1605, 284, 623, 2156, 26, 983, 30, 313, 100, 657, 619, 3752, 44, 291, 436, 540, 328, 3752, 32, 850, 922, 2998, 5528, 96, 10280, 324, 540, 280, 540, 32, 7201, 346, 324, 415, 540, 32, 15990, 4120, 657, 556, 646, 540, 44, 400, 4036, 324, 415, 540, 32, 15990, 440, 2912, 29, 10280, 400, 1459, 440, 5711, 44, 5554, 6440, 4881, 526, 1654, 328, 29947, 313, 2855, 313, 7846, 101, 4731, 904, 540, 27, 400, 4036, 324, 415, 646, 540, 32, 15990, 10359, 100, 10280, 400, 3616, 101, 32, 1689, 26, 100, 27, 284, 442, 3616, 101, 203, 5522, 26, 284, 636, 347, 575, 31, 43011, 392, 284, 3048, 347, 721, 759, 358, 16522, 4851, 392, 284, 1503, 347, 35, 32, 34, 32, 36, 392, 284, 3541, 347, 1812, 11895, 392, 284, 4081, 347, 72, 339, 449, 7778, 1538, 102, 277, 104, 392, 284, 4081, 81, 1935, 347, 89, 1826, 19252, 50, 7253, 32, 508, 392, 284, 1984, 347, 641, 555, 933, 32, 508, 33, 1045, 39986, 685, 9678, 3199, 53, 33, 575, 31, 13261, 392, 284, 5822, 81, 965, 1057, 641, 555, 933, 32, 508, 33, 1045, 39986, 685, 9678, 3199, 53, 33, 575, 31, 13261, 370, 284, 7599, 18278, 575, 32, 43011, 3439, 284, 2443, 81, 13966, 47, 2208, 81, 15965, 1026, 284, 2652, 81, 605, 7814, 563, 428, 291, 330, 575, 33, 43011, 33, 15965, 33, 1439, 32, 2760, 370, 291, 330, 575, 33, 43011, 33, 575, 81, 43011, 32, 2122, 370, 291, 330, 575, 33, 43011, 33, 1945, 32, 615, 785, 835, 284, 43397, 6020, 291, 313, 20235, 5400, 2037, 225, 39, 429, 35548, 33, 32018, 392, 291, 313, 6330, 2037, 6497, 392, 291, 313, 1428, 4611, 37393, 5467, 2037, 36646, 392, 291, 313, 3786, 2037, 546, 2123, 46573, 2037, 11895, 1177, 392, 291, 313, 25900, 1171, 2037, 40669, 392, 291, 313, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 38, 392, 291, 313, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 39, 392, 284, 1481, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 6, 8, 8, 8, 8, 2, 2, 5, 4, 4, 2, 2, 3, 8, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 5, 5, 5, 9, 10, 9, 8, 7, 10, 9, 5, 5, 8, 8, 10, 11, 10, 6, 6, 7, 10, 11, 10, 12, 8, 8, 9, 7, 7, 7, 6, 6, 7, 9, 10, 9, 11, 11, 11, 7, 7, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 12, 12, 11, 8, 8, 6, 6, 7, 8, 10, 11, 10, 12, 12, 7, 7, 12, 11, 12, 11, 12, 11, 2, 2, 3, 4, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 7, 7, 7, 7, 3, 3, 5, 5, 4, 6, 6, 6, 6, 3, 3, 5, 5, 4, 8, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 5, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 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, 7, 7, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 5, 5, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 5, 5, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 5, 5, 3, 1, 0, 2, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 4, 4, 3, 1, 0, 0, 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, 2, 1, 1, 7, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 11, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 17, 1, 1, 1, 2, 1, 1, 0, 0, 19, 0, 0, 0, 1, 1, 1, 0, 0, 21, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 23, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 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, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 745, 331, 385, 1188, 745, 331, 385, 203, 465, 8668, 7174, 81, 21923, 619, 44166, 203, 1070, 8668, 7174, 81, 1580, 32, 2282, 32, 4260, 2665, 1188, 8057, 2665, 203, 1070, 25679, 1188, 25679, 203, 1070, 8668, 7174, 81, 1580, 32, 2282, 32, 14384, 1188, 45948, 203, 1070, 8668, 7174, 81, 1580, 32, 2282, 32, 7162, 1188, 20417, 203, 465, 5237, 203, 465, 2322, 203, 1070, 8668, 7174, 81, 21923, 32, 1648, 1188, 1156, 1648, 505, 203, 589, 10071, 2262, 284, 343, 280, 8057, 2665, 346, 284, 343, 32, 5566, 280, 225, 35, 34, 36, 38, 284, 343, 32, 893, 280, 313, 9904, 33, 16530, 107, 40, 38, 20, 284, 343, 32, 625, 280, 225, 42, 34, 42, 34, 284, 343, 32, 1423, 280, 1665, 284, 442, 343, 203, 589, 617, 5954, 26, 9980, 30, 804, 347, 426, 10280, 284, 343, 280, 2149, 284, 436, 3414, 328, 20265, 44, 291, 343, 77, 3038, 77, 314, 3212, 280, 3414, 284, 442, 343, 203, 589, 617, 4613, 81, 11271, 26, 94, 30, 1688, 30, 2532, 47, 2521, 711, 284, 415, 1688, 328, 3037, 6045, 392, 313, 2665, 392, 313, 1260, 18270, 291, 456, 280, 617, 5954, 26, 94, 27, 284, 1056, 280, 45948, 32, 1821, 26, 94, 30, 6029, 2532, 47, 1174, 30, 6029, 1688, 47, 2024, 27, 284, 415, 1688, 328, 3037, 1274, 392, 313, 6045, 392, 313, 1260, 392, 313, 4700, 18270, 291, 1459, 26, 1267, 27, 284, 813, 44, 291, 25679, 26, 1267, 27, 203, 589, 745, 81, 104, 1501, 26, 6118, 711, 284, 1638, 280, 8057, 2665, 26, 1409, 331, 385, 26, 1409, 81, 104, 1501, 3667, 1427, 7642, 6184, 490, 284, 1638, 32, 1643, 280, 1638, 1365, 287, 1643, 1446, 556, 313, 1274, 20, 284, 1638, 32, 10529, 280, 1638, 1365, 31, 104, 1446, 284, 1638, 32, 464, 280, 1638, 1365, 287, 464, 1446, 284, 415, 1638, 32, 1648, 44, 291, 7041, 280, 301, 324, 313, 21923, 563, 301, 3083, 313, 4890, 563, 313, 72, 15427, 3036, 392, 400, 313, 1648, 563, 44166, 32, 1648, 1026, 324, 801, 324, 313, 3209, 7174, 31, 104, 1501, 563, 301, 400, 313, 4890, 2510, 3209, 7174, 354, 1501, 3036, 392, 400, 313, 1648, 563, 1156, 1648, 505, 324, 320, 291, 320, 291, 617, 4613, 81, 11271, 26, 9561, 30, 1638, 32, 1643, 27, 284, 4348, 1638, 32, 893, 461, 1638, 32, 668, 44, 291, 456, 280, 44166, 32, 893, 32, 668, 26, 10529, 47, 626, 32, 10529, 27, 291, 617, 4613, 81, 11271, 26, 94, 30, 1638, 32, 1643, 30, 2532, 18278, 426, 392, 313, 6385, 392, 313, 770, 6890, 284, 4348, 1638, 32, 893, 461, 1638, 32, 669, 44, 291, 456, 280, 44166, 32, 893, 32, 669, 26, 626, 32, 2474, 27, 291, 1459, 26, 94, 27, 284, 4348, 1638, 32, 893, 461, 1638, 32, 1809, 44, 291, 456, 280, 44166, 32, 893, 32, 1809, 26, 626, 32, 2474, 27, 291, 1459, 26, 94, 27, 284, 4348, 1638, 32, 3149, 461, 1638, 32, 668, 44, 291, 456, 280, 44166, 32, 3149 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 6, 4, 4, 5, 5, 5, 5, 2, 2, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 6, 4, 4, 5, 5, 5, 5, 2, 2, 5, 6, 4, 4, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 2, 3, 5, 5, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 7, 9, 8, 9, 8, 6, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 3, 3, 6, 6, 8, 8, 9, 8, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 2, 2, 3, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 3, 3, 7, 8, 7, 3, 3, 4, 4, 4, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 9, 10, 10, 8, 8, 2, 2, 5, 6, 4, 4, 6, 8, 8, 8, 5, 5, 7, 7, 2, 2, 5, 6, 4, 4, 5, 7, 7, 7, 2, 2, 5, 6, 4, 4, 5, 7, 7, 7, 2, 2, 3, 4, 5, 3, 3, 3, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 13, 12, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 11, 11, 9, 9, 7, 7, 4, 4, 7, 7, 7, 7, 8, 7, 7, 8, 9, 7, 3, 3, 4, 6, 7, 5, 5, 6, 7, 4, 4, 4, 7, 7, 10, 11, 9, 10, 9, 11, 10, 12, 11, 12, 9, 5, 5, 8, 8, 8, 8, 9, 8, 8, 9, 10, 8, 8, 9, 12, 12, 10, 12, 12, 10, 12, 12, 3, 3, 4, 6, 7, 5, 5, 6, 7, 4, 4, 4, 7, 7, 10, 11, 9, 10, 9, 11, 10, 11, 9, 5, 5, 8, 9, 8, 3, 3, 4, 6, 7, 5, 5, 6, 7, 4, 4, 4, 7, 7, 10, 11, 9, 10, 9, 11, 10, 11, 9, 5, 5, 8, 9, 8, 3, 3, 4, 6, 7, 5, 5, 6, 7, 4, 4, 4, 7, 7, 10, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 4, 3, 3, 0, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 0, 1, 2, 9, 9, 0, 0, 0, 10, 10, 2, 10, 10, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 5, 0, 11, 11, 1, 2, 1, 2, 2, 3, 1, 2, 11, 11, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 4, 4, 2, 0, 12, 12, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 12, 12, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 4, 1, 1, 1, 0, 13, 13, 1, 1, 1, 2, 1, 2, 13, 13, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 4, 4, 0, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 1, 1, 2, 4, 4, 4, 1, 2, 4, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 4, 0, 2, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 5, 0, 2, 1, 1, 2, 2, 5, 5, 5, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 3, 3, 1, 1, 1, 4, 4, 6, 0, 2, 1, 1, 2, 2, 6, 6, 6, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 3, 3, 1, 1, 1, 4, 4, 7, 0, 2, 1, 1, 2, 2, 7, 7, 7, 0, 0, 0, 2 ]
[ 465, 5021, 203, 465, 13092, 203, 1070, 5021, 32, 4266, 1188, 27070, 7981, 203, 1070, 3312, 32, 1262, 32, 3613, 81, 1855, 1188, 7502, 2028, 203, 1070, 1133, 81, 13610, 32, 5598, 1494, 32, 4538, 32, 13610, 1188, 1459, 81, 1003, 81, 17095, 81, 1338, 203, 1070, 1133, 81, 13610, 32, 5598, 1494, 32, 4538, 32, 2184, 1188, 12594, 304, 2828, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 47410, 2675, 81, 1163, 26, 38618, 2675, 711, 284, 47410, 2675, 32, 45865, 463, 1003, 81, 13610, 32, 1163, 32, 1063, 3667, 1664, 505, 370, 9254, 319, 83, 44, 1665, 27, 284, 47410, 2675, 32, 45865, 463, 1003, 81, 13610, 32, 1163, 32, 1063, 32, 371, 81, 7878, 370, 715, 9254, 319, 83, 44, 7502, 2028, 27, 203, 589, 894, 81, 4538, 2262, 284, 15684, 280, 27070, 7981, 346, 284, 1056, 280, 15684, 32, 7844, 26, 291, 1459, 81, 1003, 81, 17095, 81, 1338, 30, 291, 2107, 287, 1956, 370, 330, 11215, 370, 11363, 6426, 370, 330, 11215, 785, 284, 829, 284, 1201, 646, 1056, 32, 3893, 203, 589, 894, 81, 4538, 81, 2999, 2262, 284, 15684, 280, 27070, 7981, 346, 284, 1056, 280, 15684, 32, 7844, 26, 291, 1459, 81, 1003, 81, 17095, 81, 1338, 30, 291, 2107, 287, 1956, 370, 330, 11215, 370, 11363, 6426, 370, 330, 11215, 370, 11363, 2999, 785, 284, 829, 284, 1201, 646, 1056, 32, 3893, 203, 589, 894, 81, 4538, 81, 7092, 2262, 284, 15684, 280, 27070, 7981, 346, 284, 1056, 280, 15684, 32, 7844, 26, 291, 1459, 81, 1003, 81, 17095, 81, 1338, 30, 291, 2107, 287, 1956, 370, 330, 11215, 370, 11363, 6426, 370, 330, 11215, 370, 11363, 7092, 370, 330, 35, 785, 284, 829, 284, 1201, 646, 1056, 32, 3893, 203, 589, 894, 81, 4538, 81, 41539, 2262, 284, 15684, 280, 27070, 7981, 346, 284, 1056, 280, 15684, 32, 7844, 26, 291, 1459, 81, 1003, 81, 17095, 81, 1338, 30, 291, 2107, 287, 1956, 370, 330, 11215, 370, 11363, 6426, 370, 330, 11215, 370, 11363, 41539, 370, 330, 11215, 785, 284, 829, 284, 1201, 646, 1056, 32, 3893, 203, 589, 894, 81, 4538, 81, 3375, 391, 2262, 284, 15684, 280, 27070, 7981, 346, 284, 1056, 280, 15684, 32, 7844, 26, 291, 1459, 81, 1003, 81, 17095, 81, 1338, 30, 291, 2107, 287, 1956, 370, 330, 11215, 370, 11363, 6426, 370, 330, 11215, 370, 11363, 3375, 391, 370, 330, 11215, 785, 284, 829, 284, 1201, 646, 1056, 32, 3893, 203, 589, 894, 81, 4538, 81, 5066, 2262, 284, 15684, 280, 27070, 7981, 346, 284, 1056, 280, 15684, 32, 7844, 26, 291, 1459, 81, 1003, 81, 17095, 81, 1338, 30, 291, 2107, 287, 1956, 370, 330, 11215, 370, 11363, 6426, 370, 330, 11215, 370, 11363, 7092, 370, 330, 83, 785, 284, 829, 284, 1201, 1056, 32, 3893, 203, 589, 894, 81, 9680, 81, 1762, 81, 13232, 2262, 284, 477, 2942, 32, 2501, 346, 284, 477, 2942, 32, 1762, 12664, 1762, 370, 9011, 47, 28519, 2828, 30, 13012, 47, 1815, 30, 1750, 13012, 81, 27263, 81, 267, 37346, 23259, 370, 3177 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 4, 4, 3, 2, 2, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 10, 7, 7, 6, 3, 3, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 10, 7, 7, 8, 6, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 5, 6, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 5, 6, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 5, 6, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 5, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 5, 6, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 7, 6, 7, 6, 3, 3, 7, 6, 7, 6, 8, 8, 6, 7, 8, 8, 6, 6, 7, 8, 6, 6, 6, 8, 8, 8, 8, 7, 10, 10, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 1, 2, 2, 1, 4, 1, 6, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 6, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 3, 3, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 3, 3, 1, 0, 7, 7, 1, 1, 2, 7, 7, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 0, 8, 8, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 0, 10, 10, 1, 1, 1, 1, 2, 10, 10, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 1, 2, 11, 11, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 0, 12, 12, 1, 1, 1, 1, 2, 12, 12, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 4, 4, 2, 1, 2, 0, 13, 13, 1, 1, 1, 1, 1, 1, 2, 13, 13, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 0, 0, 0, 7, 1, 2, 2 ]
[ 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 5102, 81, 5860, 1188, 6216, 81, 3365, 30, 11003, 81, 3365, 203, 1070, 3850, 1353, 81, 6038, 81, 22574, 1188, 1459, 81, 2810, 30, 1459, 81, 6038, 203, 1070, 31343, 87, 81, 3718, 315, 81, 3855, 1188, 3995, 81, 1141, 30, 4654, 81, 3626, 30, 26206, 81, 718, 18085, 11809, 30, 570, 2210, 1400, 30, 11865, 81, 1846, 1706, 15412, 81, 8750, 69, 203, 38398, 6955, 81, 19563, 280, 225, 34, 32, 34, 34, 35, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 5102, 280, 6216, 81, 3365, 346, 334, 1459, 440, 33378, 23498, 334, 1459, 81, 2810, 26, 3365, 32, 33378, 30, 5102, 27, 334, 7231, 280, 301, 284, 308, 36, 30, 225, 34, 711, 330, 71, 370, 284, 308, 35, 30, 225, 34, 711, 330, 71, 370, 284, 308, 34, 30, 225, 34, 711, 330, 68, 370, 284, 308, 34, 30, 225, 35, 711, 330, 68, 370, 284, 308, 34, 30, 225, 36, 711, 330, 68, 370, 284, 308, 35, 30, 225, 36, 711, 330, 71, 370, 284, 308, 36, 30, 225, 35, 711, 330, 62, 370, 284, 308, 36, 30, 225, 36, 711, 330, 71, 370, 284, 308, 36, 30, 225, 37, 711, 330, 62, 370, 334, 320, 334, 17210, 280, 2065, 32, 3855, 32, 39385, 26, 38, 27, 517, 225, 36, 334, 665, 309, 36, 106, 26, 101, 711, 284, 442, 2065, 32, 955, 2009, 101, 77, 34, 79, 429, 225, 35, 30, 309, 77, 35, 79, 429, 225, 35, 32, 39, 30, 309, 77, 34, 6603, 101, 77, 35, 79, 429, 225, 37, 30, 225, 35, 1130, 334, 36835, 302, 280, 1605, 334, 273, 280, 225, 35, 32, 34, 334, 436, 561, 328, 2155, 26, 36, 34, 34, 34, 34, 711, 284, 415, 561, 904, 225, 35, 34, 34, 610, 225, 34, 44, 397, 273, 1454, 225, 34, 32, 34, 35, 284, 7377, 280, 11801, 783, 6955, 81, 19563, 33, 102, 284, 42286, 81, 2342, 280, 225, 34, 284, 10066, 81, 363, 81, 3255, 280, 4654, 81, 3626, 26, 3365, 30, 7231, 27, 284, 10925, 81, 10615, 280, 739, 346, 284, 436, 309, 30, 570, 328, 10066, 81, 363, 81, 3255, 44, 397, 415, 309, 646, 328, 10925, 81, 10615, 44, 291, 3610, 81, 10753, 280, 17210, 32, 2991, 346, 291, 816, 280, 309, 36, 106, 26, 101, 27, 291, 676, 81, 8707, 280, 17210, 32, 4260, 26, 106, 27, 291, 17210, 1454, 7377, 8088, 57, 429, 676, 81, 8707, 4586, 106, 291, 42286, 81, 2342, 280, 1769, 26, 7380, 2776, 81, 2342, 30, 2065, 32, 3596, 26, 1455, 81, 10753, 429, 17210, 547, 1036, 1157, 291, 10925, 81, 10615, 32, 669, 26, 101, 27, 284, 36835, 302, 32, 1689, 26, 7380, 2776, 81, 2342, 27, 334, 5743, 32, 3399, 26, 32492, 302, 27, 334, 5743, 32, 2245, 346, 334, 676, 280, 2149, 334, 10066, 280, 5102, 32, 464, 81, 10615, 346, 334, 436, 309, 328, 10066, 44, 284, 415, 309, 328, 5102, 32, 3543, 44, 397, 676, 77, 101, 79, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 6, 6, 2, 2, 5, 7, 7, 2, 2, 5, 5, 5, 7, 6, 7, 5, 5, 5, 2, 2, 4, 4, 5, 5, 8, 7, 7, 8, 7, 6, 8, 8, 5, 5, 8, 7, 7, 8, 7, 6, 8, 8, 5, 5, 8, 7, 7, 8, 7, 6, 8, 8, 5, 5, 8, 7, 7, 8, 7, 6, 8, 8, 5, 5, 8, 7, 7, 8, 7, 6, 8, 8, 5, 5, 8, 7, 7, 8, 7, 6, 8, 8, 5, 5, 8, 7, 7, 8, 7, 6, 8, 8, 5, 5, 8, 7, 7, 8, 7, 6, 8, 8, 5, 5, 8, 7, 7, 8, 7, 6, 8, 8, 5, 5, 2, 2, 4, 4, 8, 9, 7, 8, 7, 8, 7, 5, 5, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 11, 10, 11, 10, 9, 9, 10, 8, 8, 10, 11, 10, 9, 9, 10, 10, 10, 8, 8, 11, 12, 11, 12, 11, 12, 11, 9, 9, 10, 8, 8, 9, 8, 2, 2, 5, 4, 4, 2, 2, 4, 4, 5, 5, 5, 2, 2, 3, 3, 3, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 7, 7, 8, 8, 8, 6, 6, 7, 5, 5, 5, 8, 8, 9, 9, 9, 9, 4, 4, 6, 6, 8, 8, 8, 8, 7, 8, 4, 4, 7, 7, 6, 6, 7, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 8, 9, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 7, 8, 8, 8, 9, 9, 7, 7, 7, 11, 11, 10, 10, 12, 13, 12, 8, 8, 10, 10, 12, 12, 12, 13, 12, 8, 8, 11, 11, 10, 10, 12, 13, 12, 13, 12, 8, 8, 10, 10, 12, 15, 14, 14, 15, 15, 13, 12, 8, 8, 11, 11, 10, 10, 12, 13, 13, 13, 13, 12, 12, 16, 17, 16, 18, 18, 18, 17, 17, 16, 15, 14, 8, 8, 12, 12, 11, 12, 11, 12, 11, 4, 4, 8, 7, 8, 7, 8, 8, 8, 8, 7, 2, 2, 5, 6, 5, 6, 6, 5, 2, 2, 5, 6, 5, 2, 2, 4, 4, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 3, 3, 3, 3, 3, 5, 6, 6, 7, 8, 5, 5, 5, 9, 10, 9, 8 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 0, 0, 0, 1, 3, 3, 1, 1, 1, 3, 3, 0, 0, 1, 0, 1, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 1, 0, 0, 3, 0, 1, 1, 2, 2, 2, 1, 0, 0, 3, 0, 3, 1, 2, 2, 2, 1, 0, 0, 3, 0, 5, 1, 2, 2, 2, 1, 0, 0, 3, 0, 7, 1, 2, 2, 2, 1, 0, 0, 3, 0, 9, 1, 2, 2, 2, 1, 0, 0, 3, 0, 11, 1, 2, 2, 2, 1, 0, 0, 3, 0, 13, 1, 2, 2, 2, 1, 0, 0, 3, 0, 15, 1, 2, 2, 2, 1, 0, 0, 3, 0, 17, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 3, 3, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 3, 3, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 5, 5, 2, 1, 1, 7, 1, 3, 3, 0, 0, 0, 3, 3, 0, 0, 2, 2, 2, 3, 3, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 8, 8, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 5, 5, 5, 1, 1, 5, 5, 3, 3, 3, 3, 5, 5, 5, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 0, 0, 3, 3, 0, 0, 0, 2, 2, 2, 1, 3, 3, 13, 13, 13, 13, 13, 13, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0 ]
[ 17252, 81, 3307, 280, 330, 1069, 270, 25, 203, 24819, 81, 779, 280, 225, 35, 203, 20528, 69, 280, 301, 284, 330, 1536, 950, 301, 291, 330, 28137, 950, 330, 11025, 32, 1199, 32, 11514, 32, 14107, 37, 370, 291, 330, 2474, 950, 14589, 5566, 12454, 291, 330, 4975, 950, 2550, 291, 330, 13001, 950, 2550, 291, 330, 8472, 950, 2550, 291, 330, 3624, 950, 2550, 284, 320, 203, 111, 203, 7789, 81, 2413, 14594, 280, 330, 464, 2393, 32, 11400, 25, 203, 17143, 81, 13952, 81, 17222, 6535, 280, 308, 284, 313, 11025, 32, 12023, 32, 2393, 32, 1819, 81, 24715, 32, 2393, 392, 284, 313, 11025, 32, 1262, 32, 1819, 81, 24715, 32, 2811, 392, 284, 313, 11025, 32, 1262, 32, 1819, 81, 24715, 32, 91, 35, 42, 96, 392, 284, 313, 11025, 32, 1262, 32, 1819, 81, 24715, 32, 3435, 392, 284, 313, 11025, 32, 1262, 32, 1819, 81, 24715, 32, 1574, 392, 284, 313, 11025, 32, 1262, 32, 1819, 81, 24715, 32, 1357, 392, 284, 313, 11025, 32, 12023, 32, 6286, 32, 1819, 81, 24715, 32, 6286, 392, 284, 313, 464, 2393, 32, 3524, 32, 1819, 81, 24715, 32, 3524, 392, 284, 313, 464, 2393, 32, 10676, 3524, 32, 1819, 81, 24715, 32, 10676, 3524, 392, 203, 27, 203, 6585, 45421, 81, 47406, 280, 308, 284, 330, 11025, 32, 12023, 32, 2393, 370, 284, 330, 11025, 32, 12023, 32, 1286, 2516, 370, 284, 330, 11025, 32, 12023, 32, 18780, 370, 284, 330, 11025, 32, 12023, 32, 12095, 370, 284, 330, 11025, 32, 12023, 32, 6286, 370, 284, 330, 11025, 32, 12023, 32, 1574, 2536, 370, 284, 330, 11025, 32, 12023, 32, 2300, 370, 284, 330, 464, 2393, 370, 284, 330, 464, 2393, 32, 3524, 370, 284, 330, 464, 2393, 32, 10676, 3524, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 7189, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 682, 94, 668, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 28199, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 6528, 631, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 41309, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 9721, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 35330, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 88, 5252, 5901, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 2175, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 933, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 23968, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 17366, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 17366, 81, 10772, 36, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 26727, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 32103, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 36947, 370, 284, 330, 464, 2393, 32, 10676, 3524, 32, 13889, 32, 10069, 3209, 370, 284, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 5, 5, 8, 8, 6, 5, 5, 8, 8, 6, 5, 5, 8, 8, 6, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 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, 1, 2, 5, 2, 2, 1, 2, 7, 2, 2, 1, 2, 9, 2, 2, 1, 2, 11, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2 ]
[ 505, 2116, 505, 280, 330, 8397, 25, 203, 1070, 4181, 2243, 1188, 319, 203, 1070, 3995, 1188, 10477, 410, 30, 11655, 203, 823, 40727, 26, 13324, 265, 711, 284, 3097, 203, 589, 4450, 81, 3855, 81, 27361, 2262, 284, 9500, 25101, 620, 280, 11655, 26, 27361, 81, 2516, 27, 284, 22150, 280, 9500, 25101, 620, 346, 284, 442, 22150, 203, 589, 4450, 81, 39388, 81, 668, 26, 27361, 81, 2171, 711, 284, 22150, 81, 668, 280, 428, 5536, 81, 3855, 81, 27361, 346, 436, 595, 328, 2155, 26, 27361, 81, 2171, 2177, 284, 442, 22150, 81, 668, 203, 823, 21583, 267, 26, 25101, 711, 284, 665, 739, 81, 10004, 26, 784, 30, 7592, 711, 291, 630, 3667, 10004, 280, 7592, 284, 665, 1505, 81, 10004, 26, 784, 30, 7592, 711, 291, 442, 7592, 610, 630, 3667, 10004, 203, 823, 394, 1019, 26, 25101, 711, 284, 665, 739, 81, 10004, 26, 784, 30, 10004, 711, 291, 630, 3667, 10004, 280, 7592, 284, 665, 1505, 81, 10004, 26, 784, 30, 7592, 711, 291, 442, 7592, 610, 630, 3667, 10004, 203, 823, 25567, 43308, 26, 43308, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 1114, 9855, 280, 225, 36, 34, 34, 291, 630, 1114, 15546, 280, 225, 35, 34, 291, 630, 1114, 1489, 280, 330, 5604, 8619, 25467, 18473, 5342, 6878, 137, 9727, 25, 284, 665, 7000, 26, 784, 711, 291, 816, 280, 10477, 410, 26, 35, 30, 35, 34, 34, 27, 291, 533, 280, 10477, 410, 26, 35, 30, 35, 34, 34, 27, 291, 630, 3667, 602, 280, 596, 26, 106, 27, 474, 43563, 474, 596, 26, 107, 27, 291, 630, 32, 470, 81, 10004, 26, 106, 474, 533, 27, 291, 442, 630, 3667, 602, 203, 823, 4761, 43308, 26, 43308, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 1114, 9855, 280, 225, 35, 41, 34, 291, 630, 1114, 15546, 280, 225, 35, 39, 291, 630, 1114, 1489, 280, 330, 3275, 1485, 12472, 18473, 5342, 6878, 137, 9727, 25, 284, 665, 7000, 26, 784, 711, 291, 816, 280, 10477, 410, 26, 35, 30, 35, 34, 34, 27, 291, 533, 280, 10477, 410, 26, 35, 30, 35, 34, 34, 27, 291, 630, 3667, 602, 280, 596, 26, 106, 27, 474, 20514, 474, 596, 26, 107, 27, 291, 630, 32, 470, 81, 10004, 26, 106, 429, 533, 27, 291, 442, 630, 3667, 602, 203, 823, 19866, 43308, 26, 43308, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 1114, 9855, 280, 225, 36, 39, 34, 291, 630, 1114, 15546, 280, 225, 43, 291, 630, 1114, 1489, 280, 330, 3950, 4967, 18473, 5342, 6878, 137, 9727, 25, 284, 665, 7000, 26, 784, 711, 291, 816, 280, 10477, 410, 26, 35, 30, 35, 34, 34, 27, 291, 533, 280, 10477, 410, 26, 35, 30, 35, 34, 34, 27, 291, 630, 3667, 602, 280, 596, 26, 106, 27, 474, 32448, 474, 596, 26, 107, 27, 291, 630, 32, 470, 81, 10004, 26, 106, 319, 533, 27, 291, 442, 630, 3667, 602, 203, 823, 390, 274, 424, 70, 1019, 35, 26, 70, 1019, 711, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 5, 6, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 3, 4, 4, 5, 5, 3, 3, 3, 3, 7, 6, 6, 6, 8, 8, 8, 9, 8, 4, 4, 4, 7, 6, 6, 6, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 6, 10, 10, 8, 8, 8, 9, 4, 4, 4, 4, 8, 8, 7, 8, 8, 8, 8, 4, 4, 5, 5, 7, 7, 7, 1, 1, 2, 2, 2, 3, 2, 1, 3, 4, 4, 5, 3, 3, 3, 8, 8, 8, 7, 8, 6, 4, 4, 4, 8, 8, 8, 7, 6, 4, 4, 4, 8, 8, 8, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 4, 5, 5, 5, 5, 4, 3, 3, 3, 7, 6, 8, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 9, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 10, 8, 10, 7, 7, 10, 9, 4, 4, 4, 4, 7, 8, 9, 8, 4, 4, 4, 5, 6, 7, 7, 1, 1, 2, 2, 2, 3, 3, 2, 3, 4, 4, 5, 5, 4, 3, 3, 3, 8, 8, 8, 6, 7, 7, 7, 4, 8, 8, 8, 6, 6, 7, 4, 4, 4, 4, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 3, 3, 3, 7, 6, 6, 6, 8, 8, 8, 8, 9, 4, 4, 6, 6, 8, 8, 8, 8, 9, 9, 4, 4, 4, 4, 4, 8, 8, 6, 10, 10, 8, 8, 10, 10, 7, 7, 4, 4, 7, 8, 8, 8, 8, 9, 4, 4, 4, 4, 5, 5, 5, 5, 7 ]
[ 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 3, 3, 2, 1, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 2, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 2, 1, 2, 3, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 4, 4, 0, 2, 2, 9, 9, 1, 1, 2, 1, 2, 9, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 1, 3, 4, 4, 4, 4, 4, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 4, 4, 4, 4, 0, 2, 0, 1, 4, 4, 4, 4, 1, 2, 2, 10, 10, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 4, 0, 2, 2, 0, 0, 2, 4, 4, 4, 4, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 4, 4, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 10938, 3337, 2188, 528, 330, 7095, 81, 1170, 950, 330, 6989, 1639, 6040, 203, 24021, 2893, 280, 1524, 203, 1559, 203, 1647, 44, 11040, 36, 81, 302, 89, 203, 4021, 81, 2310, 44, 2648, 556, 3066, 9045, 16328, 27034, 28585, 203, 2310, 44, 334, 429, 5477, 1487, 556, 3066, 9045, 16328, 27034, 28585, 334, 429, 30915, 623, 322, 11040, 36, 81, 9028, 2297, 372, 11856, 23489, 23942, 993, 203, 1648, 81, 11043, 44, 313, 35, 32, 40, 20, 203, 2116, 44, 313, 57, 586, 349, 559, 1372, 14157, 587, 11931, 89, 586, 28384, 4731, 203, 2184, 44, 334, 1603, 44, 284, 3048, 44, 397, 429, 3909, 556, 26810, 1611, 322, 1980, 284, 2129, 44, 901, 284, 16682, 44, 2107, 2689, 370, 330, 3596, 304, 785, 284, 1244, 44, 5024, 334, 636, 44, 284, 3048, 44, 397, 429, 21371, 636, 436, 2350, 372, 526, 3272, 556, 8128, 284, 2129, 44, 861, 334, 2454, 81, 9922, 38387, 44, 284, 3048, 44, 397, 429, 1682, 432, 10531, 52, 4467, 372, 793, 436, 322, 2350, 284, 2129, 44, 901, 334, 1760, 81, 1363, 81, 282, 2425, 44, 284, 3048, 44, 397, 429, 1682, 432, 1760, 2350, 5471, 10972, 372, 793, 436, 322, 2350, 284, 1503, 81, 11043, 44, 313, 36, 32, 38, 20, 334, 24144, 81, 20840, 44, 284, 3048, 44, 397, 429, 1682, 432, 24144, 10790, 4467, 328, 1510, 372, 1487, 322, 2350, 32, 225, 16010, 372, 1169, 322, 24144, 32019, 328, 322, 6699, 415, 43290, 81, 5634, 81, 7895, 438, 646, 739, 32, 284, 2129, 44, 901, 334, 11303, 81, 1163, 81, 426, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 23489, 3488, 372, 793, 436, 322, 2350, 32, 2802, 322, 11040, 36, 81, 9028, 2297, 436, 26934, 3282, 32, 291, 1670, 22205, 1615, 322, 1550, 2350, 786, 1098, 526, 1654, 32, 284, 2129, 44, 861, 334, 1847, 81, 891, 44, 284, 3048, 44, 397, 429, 24626, 1451, 432, 6942, 328, 2350, 30, 415, 22205, 1615, 322, 1550, 2350, 786, 1098, 526, 1654, 32, 284, 2129, 44, 901, 334, 1769, 81, 891, 44, 284, 3048, 44, 397, 429, 18690, 1451, 432, 6942, 328, 2350, 30, 415, 22205, 1615, 322, 1550, 2350, 786, 1098, 526, 1654, 32, 284, 2129, 44, 901, 334, 23951, 81, 1363, 44, 284, 3048, 44, 397, 429, 29582, 3894, 432, 1370, 4904, 23951, 2350, 3272, 328, 11639, 13486, 36, 32, 284, 2129, 44, 901, 284, 1503, 81, 11043, 44, 313, 36, 32, 37, 20, 284, 1244, 44, 1665, 334, 10848, 81, 13886, 44, 284, 3048, 44, 397, 429, 3067, 3911, 1451, 432, 6942, 328, 2350, 30, 415, 22205, 1615, 322, 1550, 2350, 786, 1098, 526, 1654, 32, 284, 2129, 44, 901, 334, 7084, 81, 464, 81, 12182, 44, 284, 3048, 44, 397, 429, 701, 312, 38569, 36740, 30, 7084, 1169, 6942, 623, 600, 3610, 11303, 3488, 623, 1591, 645, 322, 1550, 11303, 3488, 32, 284, 2129, 44, 901, 284, 1503, 81, 11043, 44, 313, 35, 32, 42, 20, 284, 1244 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 8527, 32, 36287, 1188, 5668, 203, 1070, 2361, 8358, 1188, 2361, 8358, 81, 1959, 203, 1070, 2361, 8358, 32, 5866, 1188, 4851, 5392, 203, 1070, 638, 1188, 1288, 14090, 782, 81, 1237, 203, 465, 4527, 203, 465, 2322, 30, 2361, 203, 1070, 8527, 32, 525, 1188, 17874, 203, 1070, 8527, 32, 4338, 32, 28497, 32, 14250, 1188, 23049, 81, 327, 30816, 203, 465, 7138, 203, 1070, 1288, 14090, 782, 81, 1237, 1188, 319, 203, 1070, 1288, 14090, 782, 81, 3406, 81, 1237, 1188, 319, 203, 589, 1650, 26, 1357, 711, 284, 442, 5668, 3247, 2172, 91, 25844, 203, 589, 1149, 1237, 26, 1357, 711, 284, 1411, 280, 1326, 32, 2788, 32, 371, 463, 1959, 683, 284, 1459, 1411, 284, 415, 1411, 610, 313, 23739, 2035, 81, 464, 2035, 563, 291, 309, 280, 4851, 5392, 463, 525, 555, 35, 43, 36, 32, 35, 40, 42, 32, 36, 32, 35, 39, 43, 44, 42, 34, 34, 34, 33, 1260, 25844, 291, 706, 280, 309, 32, 23739, 2035, 81, 464, 2035, 32, 371, 668, 346, 291, 1459, 2361, 32, 16958, 26, 605, 27, 291, 1459, 827, 26, 1260, 32, 16958, 26, 605, 490, 291, 442, 17874, 26, 1260, 32, 16958, 26, 605, 471, 1795, 81, 681, 1057, 3164, 33, 1260, 45, 8485, 47, 3310, 31, 42, 683, 284, 4348, 1411, 610, 313, 108, 14090, 782, 81, 371, 33619, 563, 291, 309, 280, 4851, 5392, 463, 525, 555, 35, 43, 36, 32, 35, 40, 42, 32, 36, 32, 35, 39, 43, 44, 42, 34, 34, 34, 33, 1260, 25844, 291, 19781, 280, 309, 32, 108, 14090, 782, 81, 371, 33619, 32, 371, 668, 346, 291, 442, 17874, 26, 1260, 32, 16958, 26, 33619, 471, 1795, 81, 681, 1057, 3164, 33, 1260, 45, 8485, 47, 3310, 31, 42, 683, 284, 4348, 1411, 610, 313, 108, 14090, 782, 81, 33619, 563, 291, 309, 280, 4851, 5392, 463, 525, 555, 35, 43, 36, 32, 35, 40, 42, 32, 36, 32, 35, 39, 43, 44, 42, 34, 34, 34, 33, 1260, 25844, 291, 3408, 81, 33619, 280, 309, 32, 108, 14090, 782, 81, 33619, 32, 371, 668, 346, 291, 442, 17874, 26, 1260, 32, 16958, 26, 2035, 81, 33619, 471, 1795, 81, 681, 1057, 3164, 33, 1260, 45, 8485, 47, 3310, 31, 42, 683, 284, 4348, 1411, 610, 313, 23739, 2035, 563, 291, 309, 280, 4851, 5392, 463, 525, 555, 35, 43, 36, 32, 35, 40, 42, 32, 36, 32, 35, 39, 43, 44, 42, 34, 34, 34, 33, 1260, 25844, 291, 1288, 84, 2035, 280, 309, 32, 23739, 2035, 32, 371, 668, 346, 291, 442, 17874, 26, 1260, 32, 16958, 26, 23739, 2035, 471, 1795, 81, 681, 1057, 3164, 33, 1260, 45, 8485, 47, 3310, 31, 42, 683, 284, 4348, 1411, 610, 313, 108, 14090, 782, 563, 291, 309, 280, 4851, 5392, 463, 525, 555, 35, 43, 36, 32, 35, 40, 42, 32, 36, 32, 35, 39, 43, 44, 42, 34, 34, 34, 33, 1260, 25844, 291, 1288, 14090, 782, 2035, 280, 309, 32, 108, 14090, 782, 32, 371, 668, 346, 291, 442, 17874, 26, 1260, 32, 16958 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 7, 7, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 8, 8, 2, 2, 3, 2, 2, 3, 4, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 10, 10, 10, 10, 10, 8, 9, 9, 8, 4, 4, 5, 7, 8, 7, 8, 7, 4, 4, 5, 7, 10, 9, 10, 9, 10, 9, 4, 4, 5, 7, 10, 9, 10, 9, 10, 9, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 7, 7, 10, 11, 11, 11, 11, 11, 11, 9, 10, 10, 9, 5, 5, 6, 8, 11, 10, 11, 10, 11, 10, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 7, 7, 10, 11, 11, 11, 11, 11, 9, 10, 10, 9, 5, 5, 6, 8, 11, 10, 11, 10, 11, 11, 11, 10, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 4, 5, 5, 7, 7, 7, 4, 4, 7, 7, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 7, 7, 10, 11, 11, 9, 10, 10, 9, 5, 5, 6, 8, 11, 10, 11, 10, 11, 11, 10, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 7, 7, 10, 11, 11, 11, 9, 10, 10, 9, 5, 5, 6, 8, 11, 10, 11 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 0, 0, 8, 8, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 10, 10, 0, 0, 0, 0, 0, 0, 10, 10, 0, 11, 11, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 0, 0, 2, 0, 2, 1, 1, 2, 4, 4, 1, 4, 4, 2, 1, 1, 1, 1, 1, 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, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 3, 3, 2, 0, 2, 1, 1, 1, 3, 3, 3, 1, 0, 0, 2, 1, 1, 1, 3, 3, 4, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 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, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 3, 3, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 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, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 3, 3, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 1, 1, 1, 1, 2, 6, 6, 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, 3, 3, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 3, 3, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 7, 1, 1, 1, 1, 1, 2, 7, 7, 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, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 3, 3, 2, 1, 0, 0, 2 ]
[ 1188, 1519, 203, 1070, 2322, 32, 983, 1188, 7140, 203, 465, 2322, 203, 465, 22977, 203, 465, 5237, 203, 465, 46226, 81, 1832, 203, 589, 2575, 26, 6118, 711, 284, 1596, 44, 291, 1509, 81, 983, 81, 4555, 81, 1055, 280, 6184, 32, 1055, 12664, 1131, 81, 983, 683, 291, 1509, 81, 983, 280, 6184, 77, 1131, 81, 983, 81, 4555, 81, 1055, 474, 225, 35, 79, 291, 1688, 81, 983, 81, 4555, 81, 1055, 280, 6184, 32, 1055, 12664, 2024, 81, 983, 683, 291, 1688, 81, 983, 280, 6184, 77, 2024, 81, 983, 81, 4555, 81, 1055, 474, 225, 35, 79, 284, 2940, 44, 291, 1459, 463, 6772, 44, 904, 101, 1123, 81, 35, 1123, 81, 36, 2417, 1123, 81, 64, 769, 1131, 81, 983, 333, 1131, 81, 983, 48, 769, 2024, 81, 983, 333, 2024, 81, 983, 6457, 904, 6184, 77, 34, 1130, 291, 3636, 284, 27625, 81, 1515, 81, 271, 81, 2991, 26, 1131, 81, 983, 30, 1688, 81, 983, 27, 203, 589, 27625, 81, 1515, 81, 271, 81, 2991, 26, 1617, 30, 3466, 711, 284, 415, 19326, 26, 500, 30, 330, 39166, 7831, 291, 415, 1519, 32, 4658, 26, 3316, 711, 324, 415, 2322, 32, 983, 32, 297, 1204, 26, 3316, 711, 400, 2322, 32, 23754, 26, 3316, 27, 324, 813, 44, 400, 22977, 32, 100, 41718, 26, 3316, 27, 291, 2322, 32, 39166, 26, 2524, 26, 500, 32, 33115, 1026, 1561, 471, 3466, 27, 284, 813, 44, 291, 436, 4870, 328, 2322, 32, 26366, 26, 1617, 711, 324, 537, 81, 1617, 280, 7140, 26, 500, 32, 33115, 1026, 1561, 30, 4870, 27, 324, 415, 2322, 32, 983, 32, 34103, 26, 890, 81, 1617, 711, 400, 1933, 81, 1515, 26, 890, 81, 1617, 30, 7140, 26, 3316, 30, 4870, 490, 324, 813, 44, 400, 1933, 81, 761, 26, 890, 81, 1617, 30, 7140, 26, 3316, 30, 4870, 471, 10061, 47, 1815, 27, 203, 589, 1933, 81, 761, 26, 1617, 30, 3466, 30, 10061, 47, 2700, 711, 284, 415, 10061, 461, 1519, 32, 4658, 26, 3316, 711, 291, 2322, 32, 2546, 26, 3316, 27, 284, 22977, 32, 2991, 26, 1617, 30, 3466, 27, 203, 589, 1933, 81, 1515, 26, 1617, 30, 3466, 711, 284, 415, 1519, 32, 4658, 26, 3316, 711, 291, 22977, 32, 100, 41718, 26, 3316, 27, 284, 436, 1561, 81, 1515, 30, 29141, 30, 2276, 328, 2322, 32, 11905, 26, 1617, 711, 291, 1361, 983, 280, 1519, 32, 2808, 983, 26, 1617, 81, 1515, 30, 1561, 27, 291, 3466, 81, 1515, 280, 1519, 32, 19573, 49149, 26, 2524, 26, 3316, 30, 1361, 983, 490, 291, 2322, 32, 10174, 26, 3316, 81, 1515, 27, 291, 436, 636, 328, 2276, 44, 324, 1561, 81, 426, 280, 7140, 26, 500, 32, 33115, 1026, 1561, 81, 1515, 30, 636, 27, 324, 3466, 81, 426, 280, 7140, 26, 3316, 81, 1515, 30, 636, 27, 324, 1933, 81, 761, 26, 1617, 81, 426, 30, 3466, 81, 426, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 5237, 32, 4775, 26, 1831, 26, 3731, 32, 6118, 490, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ -1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 3, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 7, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 7, 3, 3, 4, 4, 4, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 11, 10, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 3, 3, 5, 7, 8, 7, 8, 7, 5, 5, 7, 10, 11, 9, 10, 10, 9, 10, 9, 7, 7, 11, 12, 11, 12, 11, 7, 7, 8, 8, 8, 12, 13, 13, 12, 13, 12, 4, 4, 7, 8, 7, 9, 9, 12, 11, 12, 11, 9, 9, 7, 7, 3, 3, 4, 4, 4, 6, 6, 6, 8, 9, 8, 9, 8, 6, 6, 10, 10, 9, 9, 11, 14, 13, 14, 13, 11, 11, 11, 11, 7, 7, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 8, 8, 12, 12, 12, 13, 13, 13, 12, 12, 14, 15, 14, 14, 14, 8, 8, 9, 9, 9, 13, 13, 13, 14, 14, 14, 13, 13, 15, 16, 15, 15, 15, 13, 14, 15, 13, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 6, 7, 6, 7, 6, 3, 3, 7, 8, 7, 8, 7, 2, 2, 5, 6, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 5, 6, 5, 3, 3, 7, 8, 8, 7, 8, 7, 2, 2, 3, 5, 5, 4, 4, 4, 4, 3, 3, 5, 6, 5, 6, 5, 3, 3, 7, 6, 6, 8, 9, 9, 8, 9, 9, 9, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 10, 10, 11, 10, 10, 11, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 5, 5, 5, 5, 5, 5, 9, 9, 8, 8, 10, 13, 12, 13, 12, 10, 11, 11, 10, 10, 10, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 10, 10, 6, 6, 9, 9, 9, 10, 10, 10, 9, 9, 10, 10, 9, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 7, 7, 9, 8, 9, 7, -1, -1, -1, -1 ]
[ -1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 6, 6, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 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, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 8, 8, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 3, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 5, 5, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 3, 3, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 10, 10, 0, 0, 1, 1, 1, 1, 10, 10, 0, 2, 1, 0, 1, 0, 1, 2, 1, -1, -1, -1, -1 ]
[ 1070, 1133, 1188, 9368, 203, 1070, 14771, 1146, 32, 7128, 1188, 14161, 203, 965, 280, 330, 525, 555, 1499, 32, 41240, 32, 47653, 32, 26815, 32, 7182, 33, 96, 1008, 1262, 33, 2955, 34, 34, 36, 34, 39, 43, 32, 35, 25, 203, 589, 2575, 2262, 284, 5427, 280, 14161, 346, 284, 5427, 32, 8275, 26, 965, 27, 284, 2218, 330, 28310, 25, 646, 328, 5427, 32, 916, 44, 291, 9368, 26, 39, 27, 284, 296, 280, 2156, 4207, 2868, 33, 1855, 32, 916, 392, 313, 105, 657, 284, 1459, 3776, 88, 30, 5427, 32, 916, 284, 296, 32, 2679, 346, 284, 5427, 32, 16997, 346, 284, 1459, 11477, 3285, 505, 25, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 2575, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 1, 1, 4, 4, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 6, 6, 4, 4, 4, 5, 6, 3, 3, 3, 7, 8, 7, 2, 2, 4, 4, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 2, 2, 3, 5, 3, 3, 4, 5, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 3, 5, 5, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 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, 2, 3, 3, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 4, 1, 4, 4, 3, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 7, 1, 1, 2, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3089, 749, 98, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 30, 3829, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 823, 1695, 81, 1647, 81, 13874, 26, 500, 104, 32, 500, 104, 81, 5566, 711, 284, 617, 426, 280, 313, 1439, 32, 1647, 32, 13874, 20, 284, 617, 2310, 280, 313, 2459, 23977, 20, 284, 617, 6057, 280, 301, 291, 330, 1647, 81, 1338, 950, 3829, 32, 878, 463, 12242, 372, 4000, 370, 12360, 47, 1815, 471, 284, 320, 284, 665, 3829, 81, 1071, 81, 371, 26, 784, 30, 5564, 30, 12373, 30, 2202, 81, 314, 47, 2521, 30, 2202, 81, 681, 1057, 599, 370, 1619, 47, 2521, 30, 20047, 47, 2700, 30, 1361, 3039, 47, 2700, 711, 291, 736, 280, 2599, 26, 1439, 81, 1647, 81, 13874, 30, 630, 547, 4151, 81, 1071, 81, 371, 26, 2446, 30, 12373, 30, 2202, 81, 314, 47, 1071, 81, 314, 30, 2202, 81, 681, 47, 1071, 81, 681, 30, 1619, 47, 1819, 30, 20047, 47, 15675, 30, 29100, 47, 2700, 27, 291, 415, 2202, 81, 681, 863, 330, 599, 950, 324, 442, 736, 291, 1619, 280, 2149, 415, 1619, 438, 1665, 813, 1619, 291, 3627, 81, 314, 280, 1619, 461, 1619, 32, 371, 463, 2480, 81, 314, 370, 3177, 27, 556, 3177, 291, 4523, 81, 1160, 280, 1619, 32, 371, 463, 2480, 81, 1160, 683, 291, 415, 308, 1206, 3627, 81, 314, 27, 556, 308, 1206, 4523, 81, 1160, 711, 324, 442, 736, 291, 9668, 280, 630, 32, 371, 81, 1647, 81, 668, 26, 2446, 30, 12373, 30, 1619, 47, 1819, 27, 291, 415, 646, 9668, 44, 324, 736, 710, 1004, 785, 280, 5881, 46, 599, 802, 347, 15492, 36012, 20, 1503, 347, 41, 32, 34, 413, 1378, 333, 12637, 802, 347, 15492, 36012, 20, 10947, 347, 38, 3537, 1378, 333, 4805, 48, 1891, 333, 1640, 636, 347, 1163, 20, 802, 347, 2130, 8145, 20, 827, 347, 1473, 20, 443, 347, 15634, 81, 6580, 3537, 556, 1891, 333, 1640, 7456, 347, 8151, 20, 802, 347, 4173, 20, 443, 347, 15634, 81, 1204, 3537, 1378, 576, 4805, 48, 6035, 576, 599, 48, 9592, 291, 442, 736, 284, 665, 622, 81, 1647, 81, 668, 26, 784, 30, 5564, 30, 12373, 30, 1619, 47, 2521, 711, 291, 2047, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 476, 32, 1647, 32, 1647, 683, 291, 9668, 280, 2047, 81, 2067, 32, 1903, 26, 2446, 30, 12373, 30, 428, 324, 2726, 1293, 370, 330, 266, 370, 2107, 452, 10750, 370, 330, 452, 3345, 370, 330, 452, 2443, 3490, 1130, 291, 442, 9668, 284, 665, 1244, 81, 371, 26, 784, 30, 5564, 30, 12373, 30, 3829, 30, 1619, 47, 2521, 711, 291, 2047, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 476, 32, 1647, 32, 1647, 683, 291, 9668, 280, 630, 32, 371, 81, 1647, 81, 668, 26, 2446, 30, 12373, 30, 1619, 47, 1819, 27, 291, 736, 280, 2047, 81, 2067, 32, 850, 26, 2446, 30, 12373, 30, 9668, 30, 2107, 426, 1195, 1293, 2188, 1619, 27, 291, 442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 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, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 9, 10, 8, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 7, 7, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 10, 9, 10, 8, 4, 4, 5, 7, 7, 6, 6, 8, 8, 5, 5, 7, 4, 4, 6, 6, 7, 7, 8, 8, 7, 7, 4, 4, 7, 7, 6, 6, 8, 8, 10, 11, 10, 12, 12, 12, 12, 10, 10, 7, 7, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 8, 8, 9, 9, 7, 6, 6, 8, 8, 9, 9, 7, 5, 5, 7, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 10, 8, 4, 4, 5, 6, 5, 5, 5, 9, 11, 11, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 9, 8, 9, 8, 9, 8, 8, 8, 8, 9, 9, 12, 12, 10, 12, 12, 10, 13, 13, 13, 11, 13, 13, 13, 11, 13, 13, 13, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 10, 8, 4, 4, 6, 6, 9, 9, 8, 9, 8, 9, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 8, 8, 4, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 3, 2, 1, 2, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 1, 2, 2, 11, 2, 2, 2, 13, 2, 2, 2, 0, 15, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 9, 2, 1, 1, 11, 2, 1, 0, 13, 2, 1, 4, 4, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 7, 1, 7, 7, 7, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 2, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 2, 5, 1, 1, 2, 5, 4, 4, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 4, 4 ]
[ 1070, 13458, 3513, 32976, 32, 1262, 32, 2590, 1816, 1188, 18377, 7979, 203, 1070, 46032, 1188, 1188, 81, 1647, 203, 31423, 280, 301, 284, 330, 37728, 950, 330, 22930, 81, 1580, 370, 284, 330, 24140, 950, 330, 3235, 81, 1580, 370, 284, 330, 59, 5834, 950, 330, 20464, 81, 1580, 25, 203, 111, 203, 589, 10024, 1486, 26, 5721, 30, 319, 1132, 30, 1115, 5321, 711, 284, 313, 284, 7079, 280, 7079, 32, 7607, 346, 284, 415, 308, 5721, 328, 29234, 711, 291, 345, 90, 280, 18377, 7979, 32, 371, 81, 1816, 346, 291, 2047, 280, 1188, 81, 1647, 26, 324, 330, 4486, 3513, 32976, 32, 1356, 32, 4573, 32, 1935, 12604, 34, 16805, 1643, 26, 31423, 77, 5721, 5259, 291, 345, 90, 32, 1809, 81, 1647, 463, 4486, 3513, 32976, 32, 1356, 32, 4573, 32, 1935, 32, 1580, 370, 1665, 27, 291, 442, 2047, 32, 4477, 1486, 2740, 1132, 30, 1115, 5321, 27, 284, 813, 44, 291, 3636, 22210, 463, 5842, 7079, 8029, 34, 16805, 1643, 26, 5721, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 0, 1, 1, 2, 2, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 6, 5, 5, 4, 3, 3, 7, 6, 6, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 11, 12, 11, 4, 4, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 7, 8, 8, 7, 9, 7, 7, 9, 7, 3, 3, 4, 4, 4, 6, 8, 12, 12, 12, 12, 12, 11, 10, 11, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 0, 0, 0, 2, 1, 5, 5, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 31074, 1188, 28239, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 2228, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 1870, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 266, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 16708, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 1508, 203, 1070, 46624, 32, 4280, 1188, 3835, 81, 203, 465, 3984, 106, 619, 13736, 203, 1070, 3984, 106, 32, 4266, 32, 2304, 1188, 1201, 81, 11672, 81, 2228, 203, 1070, 3984, 106, 32, 2304, 1188, 16831, 203, 823, 2108, 47841, 22640, 2776, 1215, 26, 1473, 711, 284, 665, 894, 81, 311, 26485, 26, 784, 711, 291, 12041, 280, 10440, 35, 30, 225, 36, 471, 308, 36, 30, 225, 37, 471, 308, 36, 30, 225, 38, 471, 308, 37, 30, 225, 39, 471, 308, 39, 30, 225, 40, 471, 308, 39, 30, 225, 41, 2177, 291, 570, 280, 13736, 32, 2820, 3406, 26, 11672, 27, 291, 1201, 81, 2228, 26, 8462, 32, 22288, 81, 45725, 81, 983, 26, 57, 471, 428, 35, 30, 225, 36, 30, 225, 37, 30, 225, 39, 30, 225, 40, 1130, 291, 12041, 280, 10440, 35, 30, 225, 36, 471, 308, 36, 30, 225, 37, 471, 308, 37, 30, 225, 38, 471, 308, 38, 30, 225, 39, 471, 308, 35, 30, 225, 37, 471, 308, 35, 30, 225, 39, 471, 308, 37, 30, 225, 39, 2177, 291, 570, 280, 13736, 32, 2820, 3406, 26, 11672, 27, 291, 1201, 81, 2228, 26, 8462, 32, 22288, 81, 45725, 81, 983, 26, 57, 471, 428, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 1130, 284, 665, 894, 81, 26485, 26, 784, 711, 291, 570, 280, 13736, 32, 2820, 3406, 346, 291, 12041, 280, 10440, 35, 30, 225, 36, 30, 429, 39, 471, 308, 36, 30, 225, 37, 30, 225, 35, 471, 308, 37, 30, 225, 38, 30, 225, 35, 471, 308, 38, 30, 225, 39, 30, 225, 34, 471, 308, 37, 30, 225, 39, 30, 225, 38, 471, 353, 308, 35, 30, 225, 40, 30, 225, 36, 2177, 291, 570, 32, 669, 81, 26485, 81, 11672, 81, 1070, 26, 11672, 27, 291, 1201, 81, 2228, 26, 8462, 32, 22288, 81, 45725, 81, 983, 26, 57, 471, 428, 36, 30, 225, 37, 30, 225, 39, 1130, 284, 665, 894, 81, 642, 1138, 318, 81, 1206, 81, 17788, 26, 784, 711, 291, 570, 280, 13736, 32, 3406, 346, 291, 1201, 81, 16708, 26, 8462, 32, 4711, 74, 35086, 30, 13736, 32, 22288, 81, 45725, 81, 983, 30, 570, 27, 284, 665, 894, 81, 311, 1174, 444, 81, 5459, 26, 784, 711, 291, 443, 1683, 1174, 444, 26, 1473, 711, 324, 665, 1156, 2159, 3207, 784, 30, 1604, 711, 400, 1048, 81, 2076, 280, 3778, 646, 5420, 3733, 6942, 432, 313, 766, 1750, 19436, 461, 16531, 1643, 26, 681, 26, 784, 14585, 426, 7642, 827, 26, 2455, 14585, 426, 8223, 400, 3636, 12678, 26, 731, 81, 2076, 27, 291, 5166, 280, 428, 1061, 1174, 444, 346, 436, 310, 328, 2155, 26, 38, 2177, 291, 570, 280, 13736, 32, 2820, 3406, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 7, 7, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 6, 6, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 7, 7, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 4, 4, 6, 6, 9, 8, 8, 9, 8, 8, 10, 8, 7, 9, 8, 8, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 8, 9, 8, 7, 7, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 7, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 8, 8, 9, 8, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 7, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 6, 7, 6, 5, 5, 7, 8, 8, 9, 8, 8, 8, 7, 7, 11, 11, 10, 10, 15, 15, 15, 15, 15, 15, 13, 13, 13, 15, 15, 13, 12, 15, 15, 16, 15, 14, 14, 12, 15, 16, 15, 14, 14, 8, 8, 9, 11, 12, 12, 12, 11, 4, 4, 6, 6, 9, 9, 9, 9, 7, 8, 8, 8, 10, 11, 10, 4, 4, 6, 6, 8, 9, 9, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 0, 1, 1, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 3, 1, 2, 1, 3, 3, 3, 3, 2, 1, 5, 5, 3, 5, 2, 1, 7, 7, 3, 7, 2, 1, 9, 9, 3, 9, 2, 1, 11, 11, 3, 11, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 9, 3, 4, 4, 0, 0, 1, 1, 1, 3, 1, 2, 1, 3, 3, 3, 3, 2, 1, 5, 5, 3, 5, 2, 1, 7, 7, 3, 7, 2, 1, 9, 9, 3, 9, 2, 1, 11, 11, 3, 11, 2, 1, 13, 13, 3, 13, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 9, 3, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 5, 3, 2, 1, 5, 5, 3, 5, 5, 5, 5, 2, 1, 7, 7, 3, 7, 7, 5, 7, 2, 1, 9, 9, 3, 9, 9, 5, 9, 2, 2, 1, 11, 11, 3, 11, 11, 5, 11, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1 ]
[ 1070, 638, 2999, 81, 35288, 1188, 319, 203, 823, 1171, 2324, 26, 1473, 711, 284, 540, 2993, 284, 8350, 284, 13510, 284, 22090, 499, 34593, 26, 96, 30, 37, 471, 1897, 291, 11933, 432, 310, 22401, 328, 816, 30, 107, 30, 108, 10517, 32, 284, 6915, 6294, 499, 34593, 26, 96, 27, 556, 1897, 786, 291, 358, 30624, 17134, 432, 2069, 96, 704, 594, 5783, 13792, 436, 2504, 19557, 45, 291, 415, 646, 1417, 1273, 1897, 786, 30, 11012, 372, 1169, 22401, 32, 291, 4101, 280, 225, 35, 32, 34, 1101, 11012, 372, 1169, 22401, 284, 15376, 335, 2612, 499, 34593, 26, 96, 27, 556, 1897, 786, 291, 516, 32452, 17134, 432, 2069, 96, 704, 594, 5783, 13792, 436, 2504, 19557, 45, 291, 415, 646, 1417, 1273, 1897, 786, 30, 11012, 372, 1169, 22401, 32, 291, 4101, 280, 225, 35, 32, 34, 1101, 11012, 372, 1169, 22401, 284, 48164, 499, 34593, 26, 96, 27, 556, 1897, 786, 291, 7687, 3838, 17134, 432, 2069, 96, 704, 594, 5783, 13792, 436, 2504, 19557, 45, 291, 415, 646, 1417, 1273, 1897, 786, 30, 11012, 372, 1169, 22401, 32, 291, 4101, 280, 225, 34, 32, 34, 1101, 11012, 372, 1169, 22401, 284, 4376, 81, 891, 499, 1897, 291, 9975, 891, 436, 37624, 14457, 4376, 45, 11557, 1451, 32, 291, 4101, 280, 225, 35, 32, 34, 284, 23477, 81, 100, 499, 1897, 30, 291, 29457, 8263, 102, 2199, 8082, 432, 2664, 32, 291, 4101, 280, 225, 35, 32, 34, 1101, 436, 29164, 37611, 810, 5644, 284, 6492, 499, 1417, 31, 6228, 432, 802, 291, 16333, 2471, 2625, 322, 22401, 32, 284, 298, 81, 731, 499, 629, 291, 7462, 32, 1048, 436, 322, 3380, 33228, 24378, 3632, 95, 367, 32, 291, 3081, 280, 484, 80, 31, 98, 81, 731, 291, 4101, 280, 225, 35, 34, 284, 540, 81, 28306, 499, 1897, 291, 390, 17071, 31, 6006, 436, 787, 271, 359, 682, 516, 20423, 86, 3632, 95, 367, 291, 4101, 280, 1665, 1101, 13814, 2977, 34726, 438, 16453, 6924, 284, 831, 81, 28306, 499, 1897, 291, 390, 17071, 31, 6006, 436, 14716, 771, 682, 516, 20423, 86, 3632, 95, 367, 328, 316, 1871, 510, 1282, 5122, 32, 291, 475, 1549, 740, 280, 1665, 1101, 13814, 2977, 34726, 438, 16453, 6924, 284, 43574, 299, 499, 1560, 291, 2933, 44, 4417, 43574, 299, 1149, 436, 17686, 432, 787, 271, 359, 682, 225, 46506, 32, 291, 3177, 44, 14883, 43574, 299, 623, 8117, 81, 31818, 667, 328, 281, 2375, 32, 284, 13907, 284, 22253, 291, 34461, 5651, 436, 16355, 461, 3226, 21017, 5651, 436, 23477, 291, 34461, 280, 308, 83, 29, 84, 4165, 36, 45, 3226, 21017, 499, 17058, 26, 83, 28, 84, 27, 291, 498, 686, 566, 108, 551, 581, 292, 2499, 13708, 291, 456, 92, 81, 28306, 280, 225, 36, 32, 39, 319, 16355, 284, 1524, 284, 665, 1156, 1664, 3207, 784, 30, 22090, 30, 6915, 6294, 47, 225, 35, 32, 34, 30, 15376, 335, 2612, 280, 225, 35, 32, 34, 30, 48164, 47, 34, 32, 34, 30, 4376, 81, 891, 47, 35, 36, 32, 34, 30, 23477, 81, 100 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 4, 4, 4, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 4, 4, 6, 5, 5, 6, 6, 6, 4, 4, 6, 6, 5, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 6, 6, 4, 4, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 0, 5, 5, 2, 2, 2, 2, 2, 0, 0, 7, 7, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 2, 2, 2, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 1459, 81, 1126, 203, 465, 5237, 203, 465, 2322, 203, 465, 16672, 203, 1070, 11685, 1188, 17161, 203, 465, 281, 643, 18365, 32, 3483, 203, 1070, 281, 643, 18365, 32, 2304, 1188, 438, 81, 43322, 203, 2310, 280, 5881, 203, 7488, 309, 18365, 436, 1688, 2179, 32, 203, 9592, 203, 589, 622, 2825, 2262, 284, 4118, 280, 16672, 32, 26633, 26, 15446, 1057, 85, 18365, 370, 225, 9474, 3048, 47, 2310, 30, 9474, 14971, 81, 823, 47, 626, 2208, 32, 6189, 3234, 9030, 8736, 27, 284, 4118, 32, 669, 81, 2669, 463, 983, 370, 3049, 1057, 761, 556, 3362, 372, 8971, 308, 5660, 16649, 312, 21291, 3051, 7243, 16501, 34292, 27789, 370, 715, 829, 284, 4118, 32, 669, 81, 2669, 12664, 2462, 364, 1690, 370, 3049, 47, 715, 330, 1908, 436, 11708, 322, 2276, 5964, 810, 16469, 22002, 556, 8775, 30544, 3491, 96, 25, 715, 330, 16361, 429, 322, 1244, 30, 3185, 1169, 4826, 78, 96, 25, 715, 330, 3695, 429, 2305, 1755, 313, 2946, 20, 4826, 5964, 810, 8775, 839, 20379, 11304, 5103, 78, 96, 25, 715, 330, 7345, 429, 2305, 1755, 313, 496, 20, 4826, 5964, 810, 16469, 22002, 2884, 657, 370, 715, 1244, 1057, 16361, 370, 16682, 11414, 16361, 370, 330, 3695, 370, 330, 7345, 3490, 284, 4118, 32, 669, 81, 2669, 12664, 407, 370, 3049, 1057, 278, 5388, 5016, 436, 2276, 372, 526, 47547, 78, 96, 25, 8479, 330, 1536, 44, 281, 30, 420, 30, 10639, 30, 23332, 30, 281, 2369, 30, 420, 593, 30, 420, 2369, 370, 715, 2125, 1057, 1689, 370, 1244, 33792, 3466, 1057, 12187, 81, 407, 101, 370, 715, 829, 284, 4118, 32, 669, 81, 2669, 12664, 6077, 370, 3049, 1057, 761, 429, 322, 1244, 30, 9643, 1966, 2504, 803, 619, 8111, 78, 96, 25, 2476, 330, 1647, 429, 3991, 101, 638, 85, 4724, 1152, 4724, 3766, 4724, 21937, 461, 638, 90, 4724, 4962, 4724, 31381, 11847, 370, 715, 1244, 1057, 761, 370, 16682, 11414, 761, 370, 330, 1647, 3490, 284, 4118, 32, 669, 81, 2669, 12605, 91, 1195, 287, 3617, 370, 3049, 1057, 5660, 372, 5079, 370, 16501, 3466, 1057, 3617, 81, 8478, 370, 34664, 1057, 24111, 370, 715, 2125, 1057, 1689, 370, 1244, 33792, 715, 829, 284, 4118, 32, 669, 81, 2669, 12605, 59, 1195, 287, 1017, 370, 3049, 47, 715, 330, 12187, 2305, 3233, 1519, 308, 979, 6594, 6440, 78, 96, 25, 715, 330, 271, 1412, 3362, 372, 8971, 1957, 646, 20630, 372, 588, 1017, 1519, 7243, 715, 3466, 1057, 1017, 81, 8478, 370, 34664, 1057, 8569, 370, 715, 2125, 1057, 1689, 370, 1244, 33792, 715, 829, 284, 4118, 32, 669, 81, 2669, 12664, 1347, 31, 1017, 31, 1700, 370, 3049, 47, 715, 330, 2555, 646, 3233, 436, 8600, 328, 322, 4844, 432, 322, 330, 715, 330, 31688, 47547, 803, 370, 715, 3466, 1057, 1347, 81, 1017, 81, 1700, 370, 715, 2125, 1057, 2157, 81, 1508, 370, 715, 829, 284, 4118, 32, 669, 81, 2669, 12664, 41127, 370, 3049, 47, 715, 330, 8296, 372, 26797, 1169, 2979, 31, 6264, 8600, 810, 9215 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 6, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 9, 9, 8, 9, 9, 9, 9, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 5, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 8, 8, 5, 6, 9, 9, 7, 9, 9, 7, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 8, 8, 5, 6, 5, 6, 8, 8, 8, 8, 8, 5, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 8, 8, 5, 6, 9, 9, 7, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 5, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 5, 6, 8, 8, 5, 5, 6, 8, 8, 5, 6, 5, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 5, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 8, 8, 8, 8, 5, 6, 8, 8, 5, 5, 6, 8, 8, 5, 6, 5, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 5, 5, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 5, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 1, 2, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 7, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 7, 1, 9, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 7, 1, 2, 2, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 2, 1, 9, 1, 2, 1, 1, 11, 1, 2, 1, 13, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 2, 1, 9, 1, 2, 1, 1, 11, 1, 2, 1, 13, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 316, 203, 465, 2361, 203, 465, 938, 15810, 2969, 265, 203, 1070, 938, 15810, 2969, 265, 32, 12258, 32, 15226, 307, 1188, 24266, 81, 1070, 81, 426, 203, 465, 938, 15810, 2969, 265, 32, 9777, 203, 1070, 938, 15810, 2969, 265, 32, 3483, 1188, 6061, 30, 3635, 81, 10122, 30, 49078, 203, 465, 938, 15810, 2969, 265, 32, 3626, 81, 5740, 203, 465, 938, 15810, 2969, 265, 32, 12258, 203, 465, 938, 15810, 2969, 265, 32, 46466, 203, 1070, 938, 15810, 2969, 265, 32, 17867, 32, 1500, 1188, 11530, 30, 37418, 5775, 30, 8554, 5775, 30, 20349, 2102, 5775, 30, 766, 284, 20349, 2130, 5775, 30, 1336, 369, 286, 5775, 30, 11761, 5775, 30, 6061, 2102, 5775, 203, 1070, 25679, 1188, 25679, 203, 505, 1427, 505, 280, 1524, 203, 39071, 1478, 436, 9175, 461, 4127, 28617, 101, 328, 3154, 322, 15319, 556, 6153, 28617, 2179, 308, 2970, 322, 529, 27953, 2179, 203, 46, 641, 555, 933, 32, 508, 33, 45577, 107, 760, 33, 292, 15810, 2969, 265, 33, 3006, 33, 2590, 33, 27953, 81, 1643, 32, 954, 23461, 436, 4245, 547, 203, 26037, 312, 4181, 203, 12997, 203, 26037, 312, 4181, 438, 312, 15236, 432, 6892, 312, 4181, 30, 8276, 499, 17849, 44, 4133, 544, 688, 4181, 30, 19788, 322, 4181, 30, 461, 1615, 17093, 203, 1382, 28617, 32, 225, 2616, 2280, 44, 2037, 284, 4181, 280, 1487, 81, 83, 81, 3626, 346, 5688, 588, 2648, 312, 4181, 24787, 284, 28617, 280, 3627, 26, 3626, 27, 6019, 588, 2648, 312, 28617, 688, 1098, 4562, 322, 4181, 1182, 18054, 284, 4181, 32, 1366, 346, 9316, 588, 11761, 322, 4181, 284, 28617, 32, 1821, 81, 1260, 440, 1772, 81, 27953, 32, 3914, 27953, 657, 588, 9875, 322, 28617, 372, 312, 803, 203, 22670, 1751, 312, 4181, 203, 12997, 15242, 203, 22670, 1751, 312, 4181, 438, 312, 15236, 432, 7742, 322, 28617, 30, 7867, 312, 4181, 436, 19788, 561, 1751, 30, 461, 1615, 8049, 322, 4181, 203, 1562, 2280, 44, 2037, 284, 28617, 280, 902, 1066, 346, 7188, 588, 1487, 312, 537, 28617, 1300, 284, 28617, 32, 850, 81, 1260, 440, 1772, 81, 27953, 32, 3914, 27953, 657, 588, 2454, 322, 28617, 308, 578, 883, 526, 16962, 623, 322, 4552, 1628, 27, 284, 4181, 280, 30847, 26, 27953, 27, 2071, 588, 1487, 312, 4181, 5746, 623, 322, 28617, 284, 4181, 32, 1366, 346, 10441, 588, 4654, 322, 23930, 4181, 203, 2993, 203, 823, 902, 1066, 44, 284, 665, 1156, 1664, 3207, 784, 30, 4870, 47, 2521, 711, 291, 630, 1114, 21332, 280, 1605, 291, 630, 3667, 1978, 81, 1977, 280, 1665, 291, 630, 3667, 1978, 81, 1055, 280, 429, 35, 291, 630, 32, 286, 13167, 280, 1605, 291, 630, 32, 10504, 101, 280, 1605, 291, 630, 32, 3855, 280, 1605, 291, 5365, 81, 761, 280, 2156, 440, 27953, 32, 3968, 32, 1260, 392, 313, 100, 657, 291, 630, 32, 3968, 280, 2361, 32, 944, 26, 3968, 81, 761, 27, 291, 5365, 81, 761, 32, 2679, 346, 291, 415, 4870, 438, 646, 1665, 44, 324, 630, 32, 850, 81, 1260, 26, 3607, 27, 284, 665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 0, 1, 1, 3, 3, 3, 2, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 7, 6, 6, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 8, 8, 7, 8, 7, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 4, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 5, 5, 0, 0, 5, 5, 0, 6, 6, 0, 0, 0, 1, 2, 2, 2, 0, 7, 7, 0, 0, 0, 1, 2, 0, 8, 8, 0, 0, 0, 1, 2, 0, 9, 9, 0, 0, 0, 1, 2, 1, 4, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 11, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 10, 10, 10, 10, 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, 2, 0, 12, 12, 1, 12, 12, 12, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 9, 1, 1, 1, 9, 9, 9, 0, 2, 2, 2, 1, 1, 1, 3, 3 ]
[ 465, 13092, 203, 1070, 48885, 39, 32, 47935, 1188, 1910, 28084, 203, 1070, 420, 404, 23328, 1188, 15564, 81, 1793, 30, 1201, 81, 6939, 30, 5040, 81, 452, 203, 1070, 281, 1142, 32, 12035, 1188, 1910, 28084, 6636, 30, 3223, 203, 1070, 894, 32, 1707, 1188, 2519, 3739, 4230, 81, 203, 1070, 273, 2912, 32, 1707, 1188, 14347, 203, 1070, 273, 2912, 32, 1707, 32, 41510, 32, 761, 81, 41510, 1188, 1930, 81, 761, 81, 5952, 30, 636, 81, 2029, 203, 12408, 1826, 280, 13092, 32, 1826, 32, 1707, 203, 50, 12408, 32, 12766, 81, 12940, 346, 203, 589, 5398, 26, 510, 690, 30, 4336, 20403, 711, 284, 7496, 81, 5350, 280, 1910, 28084, 6636, 26, 3518, 26, 67, 28084, 471, 534, 690, 30, 4336, 20403, 27, 284, 6761, 7496, 81, 5350, 284, 4230, 5908, 5952, 81, 5350, 27, 203, 589, 2519, 81, 5952, 26, 426, 81, 9211, 20706, 803, 81, 2816, 47, 67, 28084, 32, 18119, 974, 30, 3362, 20706, 2935, 47, 2521, 711, 284, 7496, 280, 1930, 81, 761, 81, 5952, 26, 426, 81, 9211, 30, 803, 81, 2816, 30, 3362, 30, 2935, 30, 3177, 27, 284, 2519, 5908, 5952, 27, 284, 442, 7496, 203, 589, 894, 81, 38738, 81, 426, 81, 9211, 26, 5350, 711, 284, 617, 280, 2519, 81, 5952, 440, 17189, 27648, 3256, 32, 1645, 14451, 284, 5398, 32, 2029, 81, 2536, 81, 1028, 81, 681, 440, 17189, 27648, 3256, 32, 1645, 14451, 203, 589, 894, 81, 1664, 6321, 81, 21346, 81, 266, 81, 5660, 26, 5350, 711, 284, 617, 280, 2519, 81, 5952, 26, 5660, 47, 13471, 32, 11853, 27, 284, 5398, 32, 2040, 81, 1700, 81, 5660, 26, 1494, 81, 1793, 440, 11853, 2131, 203, 589, 894, 81, 17897, 81, 426, 81, 9211, 2262, 284, 1201, 81, 6939, 26, 426, 81, 2029, 14141, 681, 35, 392, 313, 681, 36, 3439, 313, 8016, 2113, 5040, 81, 452, 440, 8016, 3256, 32, 681, 35, 17969, 681, 36, 43471, 313, 1318, 636, 10582, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 2, 2, 4, 5, 3, 4, 0, 2, 5, 4, 5, 5, 5, 4, 1, 2, 2, 3, 4, 4, 3, 3, 4, 3, 2, 2, 6, 6, 5, 5, 7, 7, 7, 9, 9, 10, 10, 9, 7, 8, 7, 7, 8, 7, 3, 3, 5, 6, 6, 3, 3, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 2, 4, 4, 3, 5, 5, 4, 5, 5, 2, 2, 3, 2, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 8, 7, 9, 8, 9, 6, 2, 2, 5, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 7, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 9, 9, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 8, 1, 1, 2, 1, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 1, 1, 4, 4, 0, 1, 1, 1, 1, 0, 9, 9, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 3, 0, 0, 2, 2, 2, 2, 2, 5, 2, 7, 2, 2, 9, 9, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 4, 4, 2, 0, 10, 10, 1, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 12, 12, 1, 1, 1, 1, 1, 1, 2, 12, 12, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 30, 2322, 30, 16539, 30, 622, 4617, 30, 22977, 203, 465, 5741, 203, 1070, 638, 13291, 15882, 1188, 11549, 11884, 30, 10668, 81, 761, 30, 622, 81, 13095, 81, 426, 203, 1070, 42406, 1188, 9637, 35, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 15718, 11445, 30, 37877, 203, 1070, 8527, 32, 4338, 32, 28497, 32, 14250, 1188, 7279, 81, 14250, 81, 9534, 203, 1070, 8527, 32, 2387, 1188, 7049, 30, 11522, 203, 1070, 8527, 32, 36287, 1188, 2908, 30, 371, 81, 1473, 81, 271, 81, 38, 34, 38, 203, 1070, 8527, 32, 4338, 32, 9947, 1188, 2648, 1074, 30, 6788, 1074, 30, 29857, 203, 1070, 638, 3378, 1188, 516, 93, 974, 30, 6256, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 638, 1986, 1188, 3398, 1397, 30, 1789, 81, 14639, 681, 203, 1070, 638, 6282, 1188, 12741, 203, 1070, 8527, 32, 11400, 1188, 10156, 203, 1070, 638, 8281, 1188, 6571, 283, 203, 1070, 638, 2560, 10067, 1188, 3066, 283, 203, 1070, 1673, 2304, 32, 1515, 81, 1040, 1188, 1933, 81, 3242, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1574, 974, 1607, 4058, 280, 1665, 203, 1455, 81, 2536, 280, 1605, 203, 2536, 280, 1605, 203, 2999, 81, 5545, 280, 225, 34, 203, 2999, 81, 5087, 280, 225, 34, 203, 998, 280, 225, 34, 203, 297, 81, 2393, 280, 2933, 203, 5301, 81, 4555, 280, 3177, 203, 19923, 81, 5087, 280, 225, 34, 203, 13163, 81, 2665, 280, 1665, 203, 496, 280, 1665, 203, 29407, 280, 1665, 203, 1696, 81, 2536, 280, 1605, 203, 11327, 81, 407, 101, 280, 4070, 32, 28442, 1345, 81, 2399, 3020, 203, 823, 2680, 81, 10966, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1256, 711, 291, 630, 32, 11893, 280, 1256, 32, 9198, 32, 371, 81, 11893, 346, 284, 665, 622, 81, 11893, 26, 784, 711, 291, 442, 630, 32, 11893, 203, 823, 3139, 3839, 924, 26, 22239, 711, 284, 665, 1156, 1664, 505, 308, 784, 30, 1638, 280, 1665, 711, 291, 630, 32, 466, 731, 280, 1638, 291, 630, 32, 1132, 280, 301, 626, 111, 203, 589, 1256, 81, 12646, 26, 1357, 711, 284, 20641, 26, 1357, 27, 284, 442, 17874, 11445, 19786, 4462, 25844, 203, 589, 1650, 26, 1357, 711, 284, 442, 2908, 26, 1357, 1947, 761, 4462, 33, 23475, 32, 916, 683, 203, 9592, 203, 12960, 47333, 24234, 203, 16623, 203, 8483, 1182, 1340, 688, 438, 646, 6723, 3823, 328, 322, 3460, 30, 883, 526, 10302, 30, 21301, 436, 7062, 10647, 415, 5349, 203, 17100, 11967, 29284, 33, 3546, 8338, 33, 6946, 33, 2590, 203, 50, 12830, 81, 14250, 81, 9534, 203, 589, 7623, 26, 1357, 711, 284, 415, 1326, 32, 1959, 10844, 3705, 950, 291, 1980, 47, 31799, 974, 26, 761, 47, 1357, 32, 14137, 710, 2536, 3490, 291, 2830, 47, 2386, 32, 2853, 473, 291, 1459, 308, 2386, 27, 291, 2078, 47, 6282, 26, 2386, 27, 291, 706, 7814, 2536, 563, 2810, 111, 291, 1789, 47, 1260, 32, 16958, 26, 605, 27, 291, 1459, 308, 1986, 27, 291, 415, 1980, 32, 681, 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, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 0, 3, 2, 2, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 2, 2, 3, 5, 5, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 4, 0, 0, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 8, 8, 0, 8, 8, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 0, 11, 11, 0, 11, 11, 0, 11, 11, 0, 0, 0, 0, 12, 12, 0, 12, 12, 0, 13, 13, 1, 2, 13, 13, 0, 14, 14, 0, 14, 14, 0, 0, 15, 15, 0, 0, 15, 15, 0, 0, 16, 16, 0, 1, 2, 2, 2, 16, 16, 0, 0, 0, 17, 17, 1, 2, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 32, 32, 1, 1, 32, 32, 32, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 33, 33, 1, 1, 2, 1, 2, 33, 33, 0, 1, 1, 0, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 2, 0, 34, 34, 1, 1, 2, 1, 2, 34, 34, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 0, 35, 35, 2, 1, 2, 35, 35, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 316, 203, 1070, 12460, 1552, 16070, 1188, 498, 15067, 17475, 81, 22471, 81, 24916, 203, 1070, 12460, 1552, 16070, 32, 3550, 1188, 3194, 2963, 203, 1070, 12460, 1552, 16070, 32, 4738, 1188, 3878, 203, 1070, 12460, 1552, 16070, 32, 2304, 32, 16780, 1188, 1245, 203, 589, 32229, 1516, 81, 104, 26, 784, 30, 5601, 30, 786, 711, 284, 415, 646, 6937, 26, 853, 30, 629, 27, 556, 786, 333, 225, 34, 44, 291, 3636, 3878, 32, 3817, 1243, 1612, 440, 17572, 1516, 81, 104, 44, 2799, 909, 372, 526, 328, 2523, 29, 10027, 101, 6069, 86, 4731, 904, 308, 2437, 30, 786, 490, 284, 442, 786, 203, 823, 2155, 81, 104, 26, 1473, 711, 334, 665, 1156, 1851, 3207, 784, 30, 1542, 81, 2067, 30, 5601, 30, 786, 711, 284, 415, 646, 6937, 26, 853, 30, 629, 711, 324, 3636, 3878, 32, 3817, 1243, 1612, 440, 3585, 81, 104, 44, 2799, 629, 10027, 101, 4731, 904, 5601, 27, 284, 415, 786, 333, 630, 32, 1366, 556, 786, 848, 630, 32, 4048, 44, 291, 345, 280, 313, 3585, 81, 104, 7846, 86, 30, 904, 86, 711, 786, 11127, 432, 29546, 2155, 10027, 86, 4731, 904, 308, 784, 32, 1366, 30, 630, 32, 4048, 30, 786, 27, 291, 3636, 3878, 32, 3817, 1243, 1612, 26, 95, 27, 284, 442, 786, 334, 665, 1156, 1664, 3207, 784, 30, 1477, 30, 4719, 711, 284, 630, 32, 1366, 280, 1477, 284, 630, 32, 4048, 280, 4719, 203, 589, 4504, 878, 81, 104, 26, 784, 30, 5601, 30, 786, 711, 284, 415, 6937, 26, 853, 30, 596, 711, 291, 786, 280, 15390, 26, 853, 27, 284, 415, 646, 6937, 26, 853, 30, 15390, 711, 291, 3636, 3878, 32, 3817, 1243, 1612, 440, 4021, 878, 81, 104, 44, 2799, 15390, 10027, 101, 6069, 101, 4731, 904, 308, 2437, 30, 786, 490, 284, 415, 3194, 2963, 32, 4898, 81, 1131, 81, 1322, 81, 17615, 461, 2069, 26, 853, 27, 848, 3194, 2963, 32, 5566, 81, 2991, 32, 16537, 81, 426, 891, 44, 291, 3636, 3878, 32, 3817, 1243, 1612, 440, 4021, 878, 81, 104, 44, 3104, 1849, 372, 526, 333, 432, 904, 86, 20, 2476, 904, 3194, 2963, 32, 5566, 81, 2991, 32, 16537, 81, 426, 891, 27, 284, 442, 786, 203, 589, 1946, 878, 81, 104, 26, 784, 30, 5601, 30, 786, 711, 284, 415, 646, 5601, 44, 291, 442, 786, 284, 415, 6937, 26, 853, 30, 596, 711, 291, 786, 280, 15390, 26, 853, 27, 284, 415, 646, 6937, 26, 853, 30, 15390, 711, 291, 3636, 3878, 32, 3817, 1243, 1612, 440, 3222, 878, 81, 104, 44, 2799, 15390, 10027, 101, 6069, 101, 4731, 904, 10000, 308, 2437, 30, 786, 490, 284, 415, 3194, 2963, 32, 4898, 81, 1131, 81, 1322, 81, 17615, 461, 2069, 26, 853, 27, 848, 3194, 2963, 32, 5566, 81, 2991, 32, 16537, 81, 878, 891, 44, 291, 3636, 3878, 32, 3817, 1243, 1612, 440, 3222, 878, 81, 104, 44, 15390, 1344, 328, 904, 101, 313, 766, 2476, 313, 1498, 3749, 101, 3104, 313, 766, 2476, 313, 3248, 904, 86, 20, 904, 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, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 5, 7, 8, 7, 7, 7, 4, 4, 5, 5, 6, 3, 3, 3, 5, 7, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 8, 5, 5, 7, 9, 10, 10, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 4, 4, 5, 7, 7, 8, 9, 6, 6, 7, 7, 8, 9, 5, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 12, 11, 12, 10, 10, 11, 12, 10, 10, 10, 6, 6, 7, 9, 10, 10, 10, 9, 10, 9, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 5, 6, 5, 5, 5, 3, 3, 6, 6, 8, 9, 8, 2, 2, 3, 4, 6, 7, 6, 6, 6, 3, 3, 5, 7, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 2, 2, 3, 6, 5, 6, 6, 6, 6, 6, 6, 6, 4, 4, 7, 8, 7, 5, 5, 8, 7, 8, 8, 8, 6, 7, 7, 7, 7, 3, 3, 3, 5, 7, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 11, 10, 11, 11, 11, 9, 10, 10, 10, 10, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 4, 3, 3, 3, 5, 2, 2, 3, 5, 6, 5, 5, 5, 3, 3, 6, 6, 8, 9, 8, 2, 2, 3, 4, 6, 7, 6, 6, 6, 3, 3, 5, 7, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 9, 9, 9, 2, 2, 3, 6, 5, 6, 6, 6, 6, 6, 6, 6, 4, 4, 7, 8, 7, 5, 5, 8, 7, 8, 8, 8, 6, 7, 7, 7, 7, 3, 3, 3, 5, 7, 8, 8, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 7, 7, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 3, 0, 8, 8, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 8, 8, 0, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 3, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1 ]
[ 465, 3995, 203, 465, 1133, 203, 1070, 11993, 1188, 16545, 203, 505, 464, 505, 280, 2107, 29562, 564, 39548, 785, 203, 823, 9665, 977, 564, 39548, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1695, 44, 629, 280, 225, 35, 30, 5205, 44, 629, 280, 225, 43, 27, 967, 1665, 44, 291, 630, 1114, 1439, 280, 1695, 291, 630, 1114, 2832, 280, 225, 34, 291, 630, 1114, 1449, 280, 5205, 291, 630, 1114, 4534, 81, 1003, 280, 1695, 319, 225, 36, 1115, 308, 784, 1114, 1449, 474, 225, 35, 27, 291, 630, 1114, 2135, 81, 28911, 280, 1133, 32, 1211, 40587, 346, 291, 630, 32, 6386, 280, 3995, 32, 6096, 346, 291, 630, 32, 6386, 32, 7389, 346, 284, 665, 7808, 26, 784, 27, 967, 16545, 77, 410, 30, 1897, 2786, 291, 18595, 280, 1133, 32, 1211, 40587, 346, 291, 7898, 280, 18595, 429, 630, 1114, 2135, 81, 28911, 291, 630, 1114, 2135, 81, 28911, 280, 18595, 291, 415, 7898, 848, 630, 1114, 4534, 81, 1003, 44, 324, 630, 1114, 2832, 280, 225, 34, 291, 630, 1114, 2832, 280, 1847, 26, 784, 1114, 2832, 474, 225, 35, 30, 630, 1114, 1449, 27, 291, 442, 630, 32, 6386, 32, 10586, 26, 34, 30, 630, 1114, 1439, 319, 225, 36, 1115, 630, 1114, 2832, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 6, 4, 4, 5, 5, 5, 5, 6, 4, 3, 3, 3, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 9, 8, 8, 12, 11, 12, 10, 10, 11, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 8, 6, 6, 6, 3, 3, 6, 6, 8, 9, 9, 8, 4, 4, 6, 6, 7, 7, 8, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 9, 10, 8, 8, 9, 4, 4, 7, 8, 6, 6, 8, 11, 10, 11, 9, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 8, 9, 7, 8, 7, 8, 7, 7, 9, 10, 8, 8, 10, 9, 9, 10, 11, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 2, 2, 5, 5, 5, 5, 4, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 6, 6, 0, 2, 0, 0, 2, 6, 6, 0, 2, 0, 0, 6, 6, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 6, 6, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 6, 6, 0, 2, 0, 0, 0, 2, 1, 6, 6, 0, 2, 0, 2, 1, 3, 3, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 6, 6, 0, 0, 2, 2, 2, 2, 2, 2, 6, 6, 0, 2, 2, 2, 0, 0, 6, 6, 3, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 2, 0, 0, 2, 6, 6, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 3, 2, 1, 6, 6, 5, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 3, 3, 0, 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 ]
[ 465, 17735, 37, 203, 465, 802, 203, 1070, 18971, 1188, 24014, 30, 1326, 30, 2908, 81, 2387, 30, 5668, 30, 35249, 203, 1070, 18971, 32, 407, 32, 26298, 1188, 45612, 30, 8184, 81, 6946, 203, 1070, 17735, 37, 1188, 11950, 279, 924, 203, 1070, 22045, 32, 2208, 1188, 1984, 2208, 203, 2035, 280, 330, 525, 555, 40, 374, 32, 11085, 7404, 203, 6177, 280, 2107, 34, 370, 330, 35, 370, 330, 36, 370, 330, 37, 370, 330, 38, 370, 330, 39, 370, 330, 40, 370, 330, 41, 370, 330, 42, 370, 330, 43, 785, 203, 6177, 32, 8233, 26, 668, 26, 800, 32, 14510, 81, 37314, 490, 203, 6177, 32, 8233, 26, 668, 26, 800, 32, 14510, 81, 23910, 490, 203, 6177, 81, 6169, 280, 2069, 26, 6177, 27, 203, 725, 280, 24014, 4064, 426, 8223, 203, 26298, 280, 45612, 26, 725, 30, 6086, 1279, 100, 9663, 563, 3447, 3831, 2372, 563, 11570, 14944, 27, 203, 589, 622, 81, 1439, 81, 1978, 26, 1594, 711, 284, 415, 1351, 610, 40496, 291, 442, 3177, 30, 330, 34, 25, 284, 1351, 81, 1055, 280, 21565, 32, 1055, 26, 1594, 27, 284, 1351, 81, 1055, 1454, 225, 35, 284, 442, 308, 2700, 30, 21565, 77, 1594, 81, 1055, 1130, 415, 766, 291, 1351, 81, 1055, 333, 21565, 81, 6169, 813, 308, 1815, 30, 330, 34, 683, 203, 589, 2354, 81, 314, 26, 314, 37657, 2521, 711, 284, 537, 81, 314, 280, 804, 81, 284, 415, 804, 81, 438, 1665, 44, 291, 537, 81, 314, 280, 330, 34, 25, 284, 813, 44, 291, 1650, 280, 429, 35, 291, 372, 81, 3563, 280, 537, 81, 314, 77, 1055, 79, 291, 1158, 30, 2354, 280, 622, 81, 1439, 81, 1978, 26, 452, 81, 3563, 27, 291, 537, 81, 314, 280, 537, 81, 314, 2867, 1055, 79, 474, 2354, 291, 1650, 5912, 225, 35, 291, 2069, 81, 314, 280, 2069, 26, 890, 81, 314, 27, 291, 2218, 1650, 29, 40, 2377, 225, 34, 461, 1158, 44, 324, 415, 1650, 29, 1657, 81, 314, 2377, 225, 34, 44, 400, 372, 81, 3563, 280, 537, 81, 314, 77, 1055, 79, 400, 1158, 30, 2354, 280, 622, 81, 1439, 81, 1978, 26, 452, 81, 3563, 27, 400, 537, 81, 314, 280, 537, 81, 314, 2867, 1055, 79, 474, 2354, 474, 537, 81, 314, 77, 1055, 29, 35, 10056, 324, 813, 44, 400, 372, 81, 3563, 280, 4247, 400, 1158, 30, 2354, 280, 622, 81, 1439, 81, 1978, 26, 452, 81, 3563, 27, 400, 537, 81, 314, 280, 2354, 474, 537, 81, 314, 77, 1055, 29, 35, 10056, 324, 1650, 5912, 225, 35, 284, 442, 537, 81, 314, 203, 589, 1858, 81, 1553, 2262, 284, 1487, 81, 1274, 280, 1524, 291, 20258, 4925, 27004, 81, 2413, 26, 291, 2484, 14035, 11190, 5578, 262, 9832, 10424, 30, 291, 12682, 13404, 2370, 1181, 25541, 30, 291, 3834, 225, 13404, 225, 2370, 1181, 25541, 291, 1093, 291, 1524, 284, 623, 17735, 37, 32, 3517, 463, 869, 33, 11400, 32, 1199, 683, 619, 4567, 44, 291, 6213, 280, 4567, 32, 7017, 346, 291, 1596, 44, 324, 6213 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 4, 3, 4, 3, 5, 5, 7, 6, 7, 7, 7, 5, 0, 4, 3, 4, 3, 5, 5, 7, 6, 7, 7, 7, 5, 0, 3, 3, 3, 2, 2, 4, 5, 4, 0, 3, 2, 2, 4, 5, 5, 0, 3, 2, 2, 4, 5, 4, 4, 5, 9, 9, 9, 7, 11, 11, 11, 9, 11, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 5, 6, 6, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 6, 5, 5, 6, 7, 7, 7, 6, 4, 4, 5, 4, 6, 6, 5, 5, 6, 6, 4, 4, 6, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 4, 4, 4, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 3, 5, 4, 4, 3, 3, 3, 7, 7, 6, 6, 8, 8, 3, 3, 4, 4, 4, 7, 7, 9, 5, 5, 8, 8, 7, 7, 9, 9, 8, 9, 8, 5, 5, 8, 8, 7, 7, 9, 9, 9, 9, 9, 10, 10, 10, 9, 5, 5, 8, 8, 7, 7, 10, 10, 9, 11, 9, 8, 8, 5, 5, 7, 7, 8, 5, 5, 8, 8, 7, 7, 9, 10, 10, 10, 9, 5, 5, 6, 9, 10, 8, 8, 9, 7, 7, 6, 6, 6, 8, 10, 11, 11, 11, 9, 9, 10, 8, 8, 8, 12, 12, 11, 11, 13, 13, 12, 13, 12, 9, 9, 12, 12, 11, 11, 13, 13, 13, 13, 13, 14, 14, 14, 13, 9, 9, 12, 12, 11, 11, 15, 15, 14, 16, 14, 13, 13, 12, 12, 14, 14, 13, 16, 15, 16, 14, 8, 8, 9, 9, 9, 13, 13, 12, 12, 10, 10, 13, 13, 12, 12, 14, 14, 14, 14, 14, 15, 15, 15, 14, 10, 10, 13, 13, 12, 12, 13, 13, 15, 15, 14, 17, 16, 17, 15, 7, 7, 9, 9, 10, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 3, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 4, 4, 3, 1, 0, 0, 3, 2, 2, 2, 3, 1, 1, 2, 1, 0, 0, 3, 3, 2, 2, 1, 1, 1, 5, 5, 1, 2, 0, 14, 14, 1, 1, 2, 0, 0, 2, 2, 14, 14, 0, 0, 0, 0, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 4, 4, 4, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 6, 0, 2, 0, 0, 2, 1, 1, 6, 6, 6, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 3, 3, 0, 0, 2, 4, 4, 2, 1, 1, 0, 15, 15, 1, 1, 2, 15, 15, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1 ]
[ 465, 5741, 203, 465, 2676, 203, 465, 1359, 203, 465, 5167, 203, 465, 2361, 203, 465, 42406, 203, 465, 3995, 203, 4073, 280, 5741, 32, 10579, 463, 4351, 683, 203, 4073, 32, 34318, 26, 7490, 32, 1589, 27, 203, 14548, 280, 5741, 32, 8736, 14969, 42668, 302, 27749, 27, 101, 79, 6181, 26, 3607, 27, 101, 6069, 26, 12300, 27, 86, 111, 18147, 2649, 426, 27, 101, 429, 18147, 1436, 27, 101, 1195, 23, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 683, 203, 380, 280, 5741, 32, 1862, 1972, 346, 203, 380, 32, 34318, 26, 7490, 32, 1589, 27, 203, 380, 32, 470, 8736, 26, 14548, 27, 203, 4073, 32, 669, 1972, 26, 380, 27, 203, 13410, 280, 5741, 32, 974, 1972, 463, 15267, 265, 32, 751, 683, 203, 13410, 32, 34318, 26, 7490, 32, 1589, 27, 203, 13410, 32, 470, 8736, 26, 14548, 27, 203, 4073, 32, 669, 1972, 26, 13410, 27, 203, 11400, 280, 308, 284, 3056, 3424, 370, 330, 4351, 370, 284, 3056, 1237, 33, 3424, 370, 330, 4351, 370, 284, 3056, 87, 1237, 33, 3424, 370, 330, 4351, 370, 203, 27, 203, 1327, 81, 2111, 280, 2107, 5068, 81, 28310, 370, 330, 5068, 81, 31784, 370, 330, 5068, 81, 28442, 370, 330, 5068, 81, 16779, 370, 330, 5068, 81, 4975, 81, 28322, 370, 400, 330, 5068, 81, 28442, 81, 34801, 370, 330, 5068, 81, 28442, 81, 35909, 370, 330, 11844, 81, 9568, 370, 330, 11844, 81, 2319, 370, 400, 330, 5068, 81, 29549, 81, 9544, 370, 330, 5068, 81, 18807, 527, 785, 203, 890, 81, 2111, 280, 5053, 5068, 81, 28310, 11501, 9009, 370, 330, 5068, 81, 31784, 11501, 10755, 370, 330, 5068, 81, 28442, 11501, 7071, 370, 1090, 330, 5068, 81, 16779, 11501, 2798, 370, 330, 5068, 81, 4975, 81, 28322, 11501, 1240, 31, 6143, 370, 330, 5068, 81, 8472, 11501, 3663, 370, 1090, 330, 5068, 81, 28442, 81, 34801, 11501, 7071, 31, 5971, 370, 330, 5068, 81, 28442, 81, 35909, 11501, 7071, 31, 7960, 370, 1090, 330, 11844, 81, 9568, 11501, 1777, 31, 2380, 370, 330, 11844, 81, 2319, 11501, 1777, 31, 620, 370, 330, 5068, 81, 29549, 81, 9544, 11501, 6536, 31, 1868, 370, 1090, 330, 5068, 81, 18807, 527, 11501, 8804, 265, 6040, 203, 1986, 81, 5078, 280, 2107, 1777, 31, 620, 370, 330, 2798, 370, 330, 2143, 10063, 934, 370, 330, 2597, 31, 2422, 370, 330, 32022, 370, 330, 72, 672, 370, 330, 2059, 370, 330, 1547, 785, 203, 823, 4300, 2727, 26, 1840, 32, 3164, 711, 284, 665, 1420, 26, 784, 30, 3408, 1057, 35, 36, 41, 32, 34, 32, 34, 32, 35, 370, 2601, 47, 42, 34, 42, 34, 30, 319, 11202, 711, 291, 442, 2676, 32, 525, 1786, 32, 1945, 6656, 26, 784, 32, 105, 1872, 325, 956, 2740, 11202, 471, 308, 2035, 30, 2601, 490, 203, 823, 5543, 44, 284, 665, 6272, 26, 784, 711, 291, 442, 2887, 346, 284, 665, 8083, 26, 784, 711, 291, 442, 2887, 346, 203, 589, 2887, 2262, 284, 4082, 32, 1338, 463, 42746, 683, 284, 4082, 32, 1338, 26, 1840, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 0, 4, 3, 4, 3, 5, 4, 5, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 5, 4, 0, 4, 3, 4, 3, 5, 4, 5, 3, 0, 4, 3, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 3, 4, 3, 0, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 6, 6, 0, 4, 3, 4, 3, 5, 4, 5, 3, 0, 4, 3, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 3, 4, 3, 0, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 6, 6, 6, 6, 4, 4, 6, 4, 3, 3, 5, 8, 9, 9, 7, 8, 8, 7, 10, 9, 10, 10, 10, 10, 9, 11, 9, 7, 9, 8, 8, 8, 0, 1, 1, 1, 1, 1, 3, 4, 5, 4, 3, 3, 5, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 0, 1, 1, 2, 1, 1, 5, 6, 5, 7, 7, 2, 2, 5, 6, 5, 8, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 22, 22, 1, 2, 0, 1, 2, 2, 22, 22, 0, 2, 1, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 0, 23, 23, 23, 23, 23, 0, 2, 1, 2, 0, 0, 0, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 1, 0, 24, 24, 2, 24, 24, 0, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0 ]
[ 1070, 13625, 1188, 636, 41766, 203, 465, 1671, 203, 10881, 3307, 2378, 13686, 280, 636, 41766, 463, 10881, 3307, 2378, 13686, 370, 330, 84, 620, 323, 2062, 16964, 953, 32489, 683, 261, 203, 10881, 3307, 2378, 13686, 81, 101, 280, 1671, 32, 3858, 10385, 2882, 36, 106, 59, 683, 203, 16856, 3307, 31387, 280, 636, 41766, 463, 16856, 3307, 31387, 370, 330, 47193, 16853, 35, 16853, 36, 19715, 35, 19715, 36, 17134, 945, 29562, 683, 203, 10171, 1893, 2436, 3307, 280, 636, 41766, 463, 10171, 1893, 2436, 3307, 370, 330, 15260, 3493, 1657, 2547, 2832, 683, 203, 10171, 1893, 2436, 3307, 81, 101, 280, 1671, 32, 3858, 10385, 38, 101, 7121, 683, 203, 10171, 1893, 2436, 3307, 81, 30924, 280, 323, 25, 20232, 35, 25, 203, 16856, 3307, 31387, 81, 30924, 280, 323, 25, 20232, 36, 25, 203, 84, 620, 81, 28500, 31387, 280, 225, 35, 203, 84, 620, 81, 10881, 3307, 31387, 280, 225, 40, 203, 84, 620, 81, 16856, 3307, 31387, 280, 225, 41, 203, 84, 620, 81, 2743, 12569, 2399, 3307, 31387, 280, 225, 42, 203, 12550, 57, 81, 4940, 36, 280, 225, 34, 106, 40, 40, 34, 36, 203, 12550, 57, 81, 16902, 81, 35, 36, 42, 280, 225, 34, 106, 40, 40, 34, 87, 203, 12550, 57, 81, 16902, 81, 35, 43, 36, 280, 225, 34, 106, 40, 40, 34, 88, 203, 12550, 57, 81, 16902, 81, 36, 39, 40, 280, 225, 34, 106, 40, 40, 35, 34, 203, 12550, 57, 81, 4940, 38, 280, 225, 34, 106, 40, 42, 34, 35, 203, 12550, 57, 81, 5108, 39, 280, 225, 34, 106, 42, 34, 34, 37, 203, 12550, 57, 81, 9451, 280, 225, 34, 106, 42, 34, 34, 38, 203, 12550, 57, 81, 9451, 35, 280, 225, 34, 106, 42, 34, 34, 38, 203, 12550, 57, 81, 9451, 81, 36, 39, 40, 280, 225, 34, 106, 42, 34, 34, 85, 203, 12550, 57, 81, 20232, 81, 3307, 74, 280, 225, 34, 2925, 38, 34, 34, 203, 3606, 81, 26459, 779, 280, 225, 34, 106, 34, 34, 34, 35, 203, 3606, 81, 15625, 2715, 280, 225, 34, 106, 34, 34, 34, 36, 203, 3606, 81, 15625, 3364, 280, 225, 34, 106, 34, 34, 34, 38, 203, 18483, 81, 26459, 779, 280, 225, 41, 203, 18483, 81, 10322, 6169, 280, 225, 42, 203, 18483, 81, 3307, 6169, 280, 225, 43, 203, 17398, 81, 10667, 2147, 280, 225, 35, 203, 7516, 81, 31387, 81, 4530, 280, 225, 36, 203, 26459, 81, 7420, 81, 4601, 81, 35976, 280, 225, 37, 1264, 225, 35, 37, 203, 26459, 81, 7420, 81, 15625, 280, 225, 38, 1264, 225, 35, 37, 203, 26459, 81, 7420, 81, 3307, 81, 1460, 13873, 280, 225, 39, 1264, 225, 35, 37, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1070, 5592, 32, 48609, 1188, 6828, 3350, 619, 20523, 203, 1070, 1933, 1188, 1933, 619, 1933, 81, 2067, 203, 1270, 44, 284, 645, 35094, 1188, 20206, 1231, 297, 2675, 203, 7343, 29986, 44, 284, 645, 3443, 1204, 32, 2304, 32, 1738, 1231, 297, 2675, 1188, 20206, 1231, 297, 2675, 203, 1070, 2417, 8524, 1188, 438, 81, 978, 36, 30, 1984, 2208, 203, 1070, 2417, 11452, 1188, 11028, 924, 203, 505, 464, 505, 280, 428, 284, 313, 1813, 392, 313, 464, 392, 313, 2029, 392, 313, 371, 392, 313, 32110, 392, 313, 2040, 2437, 392, 313, 1322, 392, 313, 5301, 392, 284, 313, 3792, 392, 313, 878, 392, 313, 13304, 392, 313, 965, 392, 313, 15990, 392, 313, 20643, 392, 313, 4752, 392, 284, 313, 2593, 81, 2543, 392, 313, 2593, 81, 1809, 392, 313, 2593, 81, 32852, 392, 313, 2593, 81, 1809, 878, 392, 284, 313, 4635, 392, 313, 3694, 392, 313, 3694, 2879, 20, 203, 79, 203, 878, 280, 438, 81, 978, 36, 461, 1695, 800, 556, 596, 203, 81, 464, 280, 1169, 203, 81, 32110, 280, 18623, 203, 81, 2040, 2437, 280, 19326, 203, 81, 2029, 280, 2761, 203, 81, 1110, 280, 1992, 203, 81, 268, 81, 2872, 81, 2437, 280, 2884, 1363, 392, 313, 6332, 392, 313, 1363, 2665, 392, 313, 268, 657, 203, 589, 617, 297, 81, 268, 81, 2872, 26, 853, 711, 284, 442, 617, 464, 2176, 2040, 2437, 26, 853, 30, 312, 27, 436, 312, 328, 617, 268, 81, 2872, 81, 2437, 27, 203, 823, 1346, 26, 7288, 711, 284, 665, 1156, 890, 3207, 6933, 30, 319, 1132, 711, 291, 442, 2599, 26, 1813, 30, 9011, 14585, 890, 3207, 6933, 30, 2181, 27, 203, 823, 1169, 26, 7288, 711, 284, 665, 1156, 890, 3207, 6933, 30, 319, 1132, 711, 291, 442, 2599, 26, 464, 30, 9011, 14585, 890, 3207, 6933, 30, 2181, 27, 203, 823, 9042, 2879, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5365, 711, 291, 630, 32, 3968, 280, 5365, 203, 823, 4522, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3420, 711, 291, 415, 438, 81, 978, 36, 461, 3420, 610, 1344, 44, 324, 3420, 280, 15390, 291, 630, 32, 1298, 280, 3420, 203, 823, 5302, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1202, 711, 291, 630, 32, 678, 280, 1202, 203, 823, 15234, 26, 3694, 2879, 711, 203, 823, 5601, 26, 3694, 2879, 711, 203, 823, 5592, 81, 2543, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2604, 47, 2521, 30, 1344, 47, 2521, 30, 41325, 47, 2521, 711, 291, 630, 32, 2142, 280, 2604, 291, 630, 32, 878, 280, 1344, 291, 630, 32, 22765, 280, 41325, 203, 589, 3104, 26, 1322, 711, 284, 665, 1847, 81, 1657, 26, 853, 711, 291, 415, 646, 2069, 26, 853, 27, 2377, 3104, 44, 324, 3636, 10091, 26, 400, 313, 13367, 3104, 438, 301, 34, 111, 1273, 786, 438, 301, 35, 16054, 1643, 26, 1322, 30, 2069, 26, 853, 490, 324, 829, 291, 442, 2933, 284, 442, 1847, 81, 1657, 203, 589, 1477, 15285, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 4, 2, 2, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 5, 5, 5, 1, 2, 2, 2, 2, 2, 4, 6, 5, 6, 5, 6, 6, 6, 6, 4, 4, 6, 6, 6, 0, 1, 1, 4, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 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, 5, 3, 3, 0, 3, 2, 2, 5, 5, 5, 4, 4, 5, 3, 3, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 7, 7, 7, 8, 7, 7, 7, 5, 6, 6, 6, 7, 7, 7, 7, 7, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 5, 9, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 5, 9, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 7, 7, 6, 6, 7, 7, 5, 5, 5, 8, 8, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 3, 3, 2, 0, 1, 1, 2, 3, 3, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 9, 10, 9, 7, 7, 5, 5, 5, 7, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 11, 11, 13, 14, 13, 9, 9, 4, 4, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2 ]
[ 0, 0, 1, 2, 0, 0, 0, 3, 3, 0, 1, 1, 1, 1, 3, 3, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 13, 13, 1, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 1, 0, 14, 14, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 15, 15, 2, 1, 2, 15, 15, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 17, 17, 2, 1, 2, 17, 17, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 18, 18, 2, 1, 2, 18, 18, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 19, 19, 2, 1, 1, 2, 0, 20, 20, 2, 1, 1, 2, 0, 21, 21, 1, 1, 2, 1, 2, 21, 21, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 22, 22, 2, 1, 2, 22, 22, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 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, 4, 4, 1, 4, 4, 1, 1, 1, 0, 23, 23, 1, 2 ]
[ 465, 1933, 203, 589, 4281, 81, 13036, 26, 101, 30, 345, 711, 284, 415, 345, 333, 225, 34, 44, 291, 3636, 3268, 463, 95, 438, 6679, 2784, 225, 34, 683, 284, 345, 904, 47, 2069, 26, 101, 27, 284, 273, 280, 1933, 32, 2991, 26, 101, 27, 284, 3555, 309, 31445, 284, 309, 1454, 273, 77, 95, 10056, 474, 273, 2867, 95, 79, 203, 589, 2841, 81, 5494, 81, 95, 26, 101, 30, 345, 711, 284, 415, 345, 333, 225, 34, 44, 291, 3636, 3268, 463, 95, 438, 6679, 2784, 225, 34, 683, 284, 3104, 280, 2069, 26, 101, 27, 284, 345, 904, 47, 3104, 284, 436, 595, 328, 35198, 26, 95, 711, 291, 273, 280, 309, 77, 34, 79, 291, 436, 594, 328, 35198, 26, 35, 30, 3104, 711, 324, 309, 77, 92, 429, 225, 35, 79, 280, 309, 77, 92, 79, 291, 309, 77, 1322, 429, 225, 35, 79, 280, 273, 203, 589, 10156, 26, 101, 30, 323, 30, 484, 711, 284, 310, 280, 484, 429, 323, 474, 225, 35, 45, 284, 436, 595, 328, 35198, 26, 96, 517, 225, 36, 711, 291, 309, 77, 84, 474, 595, 614, 309, 77, 87, 429, 595, 79, 280, 309, 77, 87, 429, 595, 614, 309, 77, 84, 474, 595, 79, 203, 589, 8720, 81, 9833, 26, 101, 30, 345, 711, 284, 415, 345, 333, 225, 34, 44, 291, 3636, 3268, 463, 95, 438, 6679, 2784, 225, 34, 683, 284, 3104, 280, 2069, 26, 101, 27, 284, 345, 904, 47, 3104, 284, 10156, 26, 101, 30, 225, 34, 30, 345, 429, 225, 35, 27, 284, 10156, 26, 101, 30, 345, 30, 3104, 429, 225, 35, 27, 284, 10156, 26, 101, 30, 225, 34, 30, 3104, 429, 225, 35, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 309, 280, 2107, 83, 370, 330, 84, 370, 330, 85, 370, 330, 86, 370, 330, 87, 370, 330, 88, 370, 330, 89, 785, 284, 309, 34, 280, 1933, 32, 2991, 26, 101, 27, 284, 4281, 81, 13036, 26, 101, 34, 30, 225, 37, 27, 284, 1459, 309, 34, 284, 309, 35, 280, 1933, 32, 2991, 26, 101, 27, 284, 2841, 81, 5494, 81, 95, 26, 101, 35, 30, 225, 37, 27, 284, 1459, 309, 35, 284, 309, 36, 280, 1933, 32, 2991, 26, 101, 27, 284, 8720, 81, 9833, 26, 101, 36, 30, 225, 38, 27, 284, 1459, 309, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 1, 1, 3, 4, 4, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 2, 2, 3, 4, 2, 2, 4, 4, 6, 8, 7, 5, 5, 6, 8, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 6, 6, 7, 8, 7, 4, 4, 5, 5, 5, 7, 8, 7, 7, 7, 5, 5, 9, 11, 10, 10, 11, 9, 8, 8, 9, 10, 9, 4, 4, 7, 9, 8, 8, 9, 7, 6, 6, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 5, 5, 6, 2, 2, 2, 3, 3, 3, 5, 7, 6, 6, 7, 5, 3, 3, 8, 10, 9, 9, 8, 7, 8, 10, 9, 9, 8, 6, 6, 8, 10, 9, 9, 8, 7, 8, 10, 9, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 4, 2, 2, 5, 6, 5, 5, 6, 5, 5, 6, 6, 7, 5, 2, 2, 5, 6, 5, 5, 5, 5, 6, 6, 7, 5, 2, 2, 5, 6, 5, 5, 6, 5, 5, 6, 6, 7, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 5, 5, 6, 6, 5, 5, 6, 5, 2, 2, 3, 4, 2, 2, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 5, 2, 2, 3, 4, 2, 2, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 5, 5, 6, 6, 5, 5, 6, 5, 2, 2, 3, 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 ]
[ 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 3, 3, 3, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 2, 2, 2, 0, 0, 0, 0, 3, 3, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 1, 1, 1, 1, 3, 1, 1, 5, 5, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 5, 5, 2, 1, 4, 4, 1, 1, 1, 1, 3, 1, 1, 5, 5, 2, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 3, 1, 3, 3, 3, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 3, 3, 6, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 3, 1, 3, 3, 9, 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 ]
[ 1070, 7744, 2304, 1188, 4107, 203, 465, 323, 978, 203, 1070, 323, 978, 32, 2962, 1188, 8174, 1653, 30, 14975, 1653, 203, 1070, 309, 424, 380, 1253, 32, 1251, 81, 3242, 1188, 358, 424, 380, 3402, 15432, 203, 1070, 309, 424, 380, 1253, 32, 605, 81, 5999, 1188, 1974, 1212, 203, 1070, 309, 424, 380, 1253, 32, 2304, 32, 2269, 81, 19100, 1188, 5859, 81, 19100, 81, 3792, 993, 203, 823, 358, 104, 5234, 1212, 15935, 36, 26, 84, 978, 32, 2516, 32, 1212, 30, 358, 424, 380, 3402, 15432, 711, 284, 5881, 19518, 488, 61, 36, 5881, 284, 3145, 81, 314, 426, 280, 330, 34836, 5234, 1212, 15935, 36, 25, 284, 3145, 81, 1172, 280, 330, 5234, 25, 284, 3145, 81, 1566, 280, 330, 10656, 81, 19958, 25, 284, 10365, 81, 280, 8174, 1653, 26, 426, 1057, 20123, 265, 370, 3048, 1057, 21250, 10365, 370, 1014, 1244, 47, 35, 32, 34, 30, 1014, 2075, 12516, 38785, 722, 2147, 8885, 1974, 47, 1877, 1212, 27, 284, 8111, 280, 14975, 1653, 26, 426, 1057, 43683, 370, 3048, 1057, 27106, 332, 37692, 16344, 370, 1014, 1244, 47, 2700, 30, 1014, 1974, 47, 1877, 1212, 27, 284, 665, 5859, 81, 1664, 26, 784, 30, 1619, 711, 291, 630, 32, 8075, 32, 890, 463, 15743, 5264, 370, 313, 12317, 392, 313, 12317, 657, 291, 630, 32, 8075, 32, 890, 463, 15743, 5264, 370, 313, 40868, 392, 313, 40868, 657, 291, 630, 32, 8075, 32, 890, 463, 9634, 5264, 370, 313, 36520, 392, 313, 36520, 1895, 4641, 81, 426, 280, 313, 9410, 15659, 291, 630, 32, 10931, 32, 890, 463, 15743, 5264, 370, 313, 12317, 392, 313, 12317, 657, 284, 665, 5171, 81, 11430, 26, 784, 30, 1619, 30, 6371, 711, 291, 6371, 32, 4641, 26, 784, 30, 330, 43683, 683, 284, 665, 2164, 26, 784, 711, 291, 12438, 280, 630, 32, 8075, 710, 12317, 5695, 2269, 81, 371, 346, 291, 4712, 101, 280, 630, 32, 8075, 710, 40868, 5695, 2269, 81, 371, 26, 1536, 6020, 9532, 34, 32, 34, 30, 225, 34, 32, 34, 30, 225, 34, 32, 34, 3212, 1130, 291, 10151, 280, 630, 32, 8075, 710, 36520, 5695, 2269, 81, 371, 346, 291, 415, 630, 32, 10931, 77, 34, 997, 297, 81, 11128, 44, 324, 14710, 280, 5859, 81, 19100, 81, 3792, 993, 26, 784, 32, 21250, 30, 5232, 30, 36923, 30, 7740, 30, 784, 32, 43683, 27, 324, 630, 32, 10931, 710, 12317, 5695, 2269, 81, 470, 26, 39157, 27, 284, 665, 19315, 26, 784, 30, 354, 30, 281, 30, 345, 711, 291, 1459, 26, 85, 30, 104, 30, 95, 27, 291, 442, 10440, 2863, 26, 85, 27, 474, 345, 319, 308, 2863, 26, 104, 27, 429, 4107, 26, 85, 2610, 2867, 3212, 203, 589, 3909, 2262, 284, 323, 978, 32, 2304, 32, 3317, 81, 823, 26, 34836, 5234, 1212, 15935, 36, 27, 203, 589, 40610, 2262, 284, 323, 978, 32, 2304, 32, 28402, 81, 823, 26, 34836, 5234, 1212, 15935, 36, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 3909, 346, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 4, 5, 3, 4, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 8, 7, 9, 9, 9, 6, 7, 9, 9, 9, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 10, 10, 10, 10, 6, 7, 8, 8, 6, 2, 2, 4, 4, 6, 6, 8, 7, 9, 9, 6, 7, 9, 9, 9, 9, 9, 6, 6, 7, 8, 6, 6, 6, 7, 8, 8, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 10, 11, 9, 10, 9, 11, 11, 11, 9, 11, 11, 9, 11, 11, 8, 8, 8, 6, 6, 8, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 10, 11, 9, 11, 11, 9, 9, 9, 8, 4, 4, 7, 6, 6, 10, 11, 9, 11, 11, 9, 9, 9, 8, 10, 9, 11, 13, 13, 13, 12, 12, 13, 13, 13, 12, 12, 13, 13, 13, 12, 10, 4, 4, 6, 6, 10, 11, 9, 11, 11, 9, 9, 9, 8, 4, 4, 5, 8, 9, 7, 8, 7, 7, 7, 7, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 12, 11, 12, 10, 11, 10, 11, 10, 11, 10, 12, 11, 12, 10, 6, 6, 11, 12, 10, 12, 12, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 8, 7, 8, 7, 4, 4, 5, 11, 11, 12, 11, 9, 9, 10, 10, 14, 14, 15, 14, 12, 12, 14, 15, 14, 7, 7, 0, 1, 1, 2, 1, 1, 7, 6, 7, 5, 6, 6, 6, 5, 6, 6, 6, 6, 6, 5, 0, 1, 1, 2, 1, 1, 7, 6, 7, 5, 6, 6, 6, 5, 6, 6, 6, 6, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 6, 6, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 3, 3, 3, 3, 2, 6, 6, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 5, 2, 2, 2, 1, 1, 1, 7, 1, 1, 1, 2, 1, 9, 2, 2, 1, 4, 4, 0, 0, 0, 1, 0, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 7, 2, 2, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 7, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 8, 2, 1, 2, 8, 8, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 2, 4, 4, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 4, 4, 3, 0, 2, 0, 2, 0, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 1, 5, 1, 7, 1, 0, 9, 2, 1, 3, 3, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 9, 2, 1, 2, 2, 2, 2, 2, 2, 2, 9, 9, 1, 1, 1, 3, 1, 5, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 2, 7, 7, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 2, 8, 8, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 0, 0, 1, 1, 1, 1, 9, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 18971, 81, 725, 1188, 3022, 203, 465, 15798, 203, 465, 5741, 203, 465, 2361, 203, 465, 11171, 203, 380, 280, 5741, 32, 1862, 1972, 346, 203, 380, 32, 34318, 26, 7490, 32, 2897, 27, 203, 14548, 280, 5741, 32, 8736, 15339, 26, 302, 27749, 27, 101, 429, 18147, 426, 27, 101, 429, 18147, 2649, 426, 27, 101, 429, 18147, 1436, 27, 101, 683, 203, 380, 32, 470, 8736, 26, 14548, 27, 203, 589, 1930, 81, 4073, 26, 426, 711, 284, 4082, 280, 5741, 32, 10579, 26, 426, 27, 284, 4082, 32, 34318, 26, 7490, 32, 2897, 27, 284, 4082, 32, 669, 1972, 26, 380, 27, 284, 442, 4082, 203, 823, 24014, 1006, 26, 18986, 32, 7233, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 784, 3667, 823, 7642, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 725, 280, 3022, 32, 725, 291, 630, 32, 725, 32, 1163, 1365, 3765, 1392, 1446, 280, 2933, 291, 630, 32, 4073, 280, 1930, 81, 4073, 26, 784, 3667, 823, 29215, 426, 8223, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1580, 280, 630, 32, 725, 32, 858, 81, 1580, 346, 284, 665, 894, 81, 1055, 26, 784, 711, 291, 540, 280, 630, 32, 1580, 32, 371, 32087, 291, 630, 32, 4073, 32, 2811, 440, 687, 1279, 34, 835, 706, 1279, 35, 16054, 1643, 26, 100, 32, 1517, 81, 687, 30, 540, 32, 605, 490, 291, 1201, 540, 32, 1517, 81, 687, 610, 225, 36, 34, 34, 284, 665, 894, 81, 496, 81, 1160, 26, 784, 711, 291, 1542, 280, 3022, 32, 1160, 291, 1044, 280, 1542, 32, 1240, 26, 426, 347, 24867, 392, 706, 347, 3463, 300, 657, 291, 1201, 596, 26, 103, 27, 610, 313, 1240, 77, 2521, 30, 24867, 30, 3463, 300, 12032, 284, 665, 894, 81, 524, 81, 496, 26, 784, 711, 291, 540, 280, 630, 32, 1580, 32, 524, 4207, 496, 29594, 291, 1201, 540, 32, 1517, 81, 687, 610, 225, 36, 34, 34, 291, 706, 280, 2361, 32, 12474, 26, 100, 32, 605, 27, 291, 1201, 706, 1365, 687, 1446, 610, 225, 38, 34, 34, 291, 636, 280, 596, 26, 6572, 32, 6572, 38, 1157, 291, 540, 280, 630, 32, 1580, 32, 524, 4207, 496, 5263, 34, 3188, 2296, 1643, 26, 426, 471, 706, 7814, 605, 2510, 88, 27158, 36, 15119, 291, 1201, 540, 32, 1517, 81, 687, 610, 225, 36, 34, 34, 291, 706, 280, 2361, 32, 12474, 26, 100, 32, 605, 27, 291, 1201, 706, 1365, 687, 1446, 610, 225, 36, 34, 34, 291, 1201, 706, 1365, 1267, 9557, 605, 1446, 610, 313, 88, 27158, 36, 20, 291, 540, 280, 630, 32, 1580, 32, 524, 4207, 496, 5263, 34, 3188, 2296, 1643, 26, 426, 471, 706, 7814, 605, 2510, 88, 27158, 36, 15119, 291, 630, 32, 4073, 32, 1338, 26, 100, 32, 1517, 81, 687, 27, 291, 1201, 540, 32, 1517, 81, 687, 610, 225, 36, 34, 34, 291, 706, 280, 2361, 32, 12474, 26, 100, 32, 605, 27, 291, 1201, 706, 1365, 687 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 5, 4, 0, 4, 3, 4, 3, 5, 4, 5, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 3, 4, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 6, 5, 7, 6, 7, 5, 2, 2, 5, 6, 6, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 11, 10, 11, 11, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 9, 10, 8, 9, 7, 9, 9, 9, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 8, 11, 10, 11, 11, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 11, 9, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 6, 6, 8, 9, 8, 10, 9, 11, 11, 8, 9, 11, 11, 11, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 5, 7, 9, 9, 6, 6, 7, 7, 7, 4, 4, 6, 6, 8, 11, 10, 11, 11, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 12, 12, 12, 12, 12, 11, 10, 11, 10, 8, 9, 13, 13, 13, 13, 13, 13, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 5, 7, 9, 9, 6, 6, 7, 7, 7, 4, 4, 5, 8, 10, 10, 9, 9, 6, 6, 8, 8, 8, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 12, 12, 12, 12, 12, 11, 10, 11, 10, 8, 9, 13, 13, 13, 13, 13, 13, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 5, 7, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 3, 0, 10, 10, 1, 2, 0, 1, 2, 2, 10, 10, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 3, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 3, 0, 1, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 2, 4, 4, 6, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 8, 0, 1, 2, 1, 1, 2, 2, 2, 4, 4, 9, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 12, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 14, 0, 1 ]
[ 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, 5237, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 35750, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3363, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1603, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 339, 46597, 1349, 1188, 3586, 46597, 1349, 29248, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 339, 481, 2315, 1188, 3586, 481, 2315, 29248, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 28619, 1188, 36051, 29248, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 88, 6769, 1188, 506, 6769, 29248, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 39370, 1188, 42627, 378, 29248, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 26171, 81, 14298, 101, 1188, 9665, 977, 564, 27824, 15685, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 16648, 1188, 22994, 2265, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 3925, 419, 1962, 1188, 559, 2739, 6567, 29248, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 11260, 81, 3801, 304, 1188, 31950, 1450, 2460, 29248, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 5207, 81, 44678, 81, 16648, 1188, 14353, 41316, 29248, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 44534, 1188, 16504, 9693, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 44534, 1188, 498, 24426, 3021, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 3926, 81, 10340, 1188, 319, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 1509, 619, 617, 1131, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 1131, 1188, 319, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 2929, 81, 16527, 1188, 25884, 81, 2929, 81, 16527, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 2496, 424, 1188, 4450, 81, 17141, 81, 1293, 81, 1805, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 2496, 424, 1188, 622, 81, 17141, 81, 1293, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 2496, 424, 1188, 6615, 81, 17141, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 2496, 424, 1188, 358, 15219, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 2496, 424, 1188, 1974, 81, 17141, 81, 1293, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 2496, 424, 1188, 4166, 81, 2859, 81, 2255, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 2496, 424, 1188, 1188, 81, 2859, 81, 2255, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 2848, 81, 4018, 1188, 6548, 1572, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 1367, 81, 716, 1188, 8822, 81, 5162, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 1367, 81, 716, 1188, 15591, 3976, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 41335, 1188, 16041, 12376, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 10705, 81, 1040, 1188, 2866, 81, 2255, 203, 1070, 14785, 32, 2958, 32, 10705, 32, 10705, 81, 1040, 1188, 3649, 81, 2997, 203, 1070, 14785, 32, 2958, 32, 978, 4071, 81, 13223, 1188, 3136, 26529, 3300, 203, 1070, 14785, 32, 1262, 32, 2763, 32, 2763, 81, 4365, 36, 1188, 319, 203, 1070, 14785 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 6, 6, 7, 7, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 1, 6, 6, 6, 8, 8, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 1, 6, 6, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 1, 6, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 1, 6, 6, 6, 6, 12, 12, 0, 0, 0, 0, 0, 13, 13, 1, 2, 1, 4, 1, 6, 13, 13, 0, 0, 14, 14, 1, 2, 1, 4, 1, 6, 6, 6, 14, 14, 0, 0, 0, 0, 15, 15, 1, 2, 1, 4, 1, 6, 6, 6, 6, 15, 15, 0, 0, 0, 0, 16, 16, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 1, 6, 17, 17, 0, 0, 18, 18, 1, 2, 1, 4, 1, 6, 18, 18, 0, 0, 0, 19, 19, 1, 2, 1, 4, 1, 6, 6, 6, 19, 19, 0, 20, 20, 1, 2, 1, 4, 20, 20, 3, 3, 2, 0, 21, 21, 1, 2, 1, 4, 1, 6, 21, 21, 0, 22, 22, 1, 2, 1, 4, 1, 6, 6, 6, 22, 22, 0, 0, 0, 0, 0, 23, 23, 1, 2, 1, 4, 1, 6, 6, 23, 23, 0, 0, 0, 0, 0, 0, 0, 24, 24, 1, 2, 1, 4, 1, 6, 6, 24, 24, 0, 0, 0, 0, 0, 25, 25, 1, 2, 1, 4, 1, 6, 6, 25, 25, 0, 0, 0, 26, 26, 1, 2, 1, 4, 1, 6, 6, 26, 26, 0, 0, 27, 27, 1, 2, 1, 4, 1, 6, 6, 27, 27, 0, 0, 0, 0, 0, 28, 28, 1, 2, 1, 4, 1, 6, 6, 28, 28, 0, 0, 0, 0, 0, 29, 29, 1, 2, 1, 4, 1, 6, 6, 29, 29, 0, 0, 0, 0, 0, 30, 30, 1, 2, 1, 4, 1, 6, 6, 6, 30, 30, 0, 0, 31, 31, 1, 2, 1, 4, 1, 6, 6, 6, 31, 31, 0, 0, 0, 32, 32, 1, 2, 1, 4, 1, 6, 6, 6, 32, 32, 0, 0, 33, 33, 1, 2, 1, 4, 1, 6, 33, 33, 0, 0, 34, 34, 1, 2, 1, 4, 1, 6, 6, 6, 34, 34, 0, 0, 0, 35, 35, 1, 2, 1, 4, 1, 6, 6, 6, 35, 35, 0, 0, 0, 36, 36, 1, 2, 1, 4, 4, 4, 4, 36, 36, 0, 0, 0, 37, 37, 1, 2, 1, 4, 1, 6, 6, 6, 6, 37, 37, 0, 38, 38 ]
[ 308, 394, 5575, 26, 570, 84, 16259, 1410, 83, 56, 765, 588, 65, 30030, 433, 90, 38, 43, 21, 373, 5237, 203, 465, 1133, 203, 3731, 32, 983, 32, 1689, 10198, 2846, 683, 203, 465, 298, 573, 5633, 30, 11098, 315, 585, 30, 1133, 203, 589, 804, 81, 4641, 905, 81, 30013, 81, 510, 18758, 2262, 284, 1524, 203, 1596, 44, 291, 48530, 280, 298, 573, 5633, 32, 25458, 685, 7403, 40620, 32, 1613, 8532, 34, 79, 284, 2940, 44121, 44, 291, 1459, 313, 2930, 44, 3139, 26435, 14020, 409, 2317, 48530, 3107, 291, 442, 225, 34, 284, 1596, 44, 291, 48530, 280, 298, 573, 5633, 32, 23736, 32, 1613, 26, 34302, 5633, 32, 23736, 32, 99, 32, 12540, 379, 30013, 32, 12540, 5594, 34, 79, 284, 2940, 44, 225, 588, 383, 286, 264, 1459, 313, 2930, 44, 10680, 48530, 1289, 16299, 931, 2317, 33906, 409, 409, 29895, 318, 6845, 3107, 291, 442, 225, 34, 284, 442, 48530, 32, 314, 203, 589, 804, 81, 4641, 905, 81, 30013, 2262, 284, 1524, 334, 42023, 44, 291, 48530, 280, 298, 573, 5633, 32, 25458, 685, 7403, 40620, 32, 1613, 8532, 34, 79, 284, 2940, 44121, 44, 291, 1459, 313, 2930, 44, 3139, 26435, 14020, 409, 2317, 48530, 3107, 291, 442, 225, 34, 284, 1596, 44, 291, 48530, 280, 298, 573, 5633, 32, 22163, 32, 1613, 26, 34302, 5633, 32, 22163, 32, 99, 32, 12540, 379, 30013, 32, 12540, 5594, 34, 79, 284, 2940, 44, 225, 588, 1284, 261, 1459, 313, 2930, 44, 10680, 48530, 1289, 16299, 931, 2317, 33906, 409, 43537, 3107, 291, 442, 225, 34, 284, 442, 48530, 32, 314, 203, 589, 29239, 13594, 81, 42230, 81, 286, 81, 980, 1691, 81, 6294, 81, 17681, 2262, 284, 1524, 664, 345, 11921, 32, 4852, 1188, 2196, 1003, 619, 29989, 7281, 284, 596, 1516, 419, 318, 7005, 280, 298, 573, 5633, 32, 45930, 15515, 1114, 3841, 32, 1217, 1934, 440, 4620, 310, 2277, 318, 7005, 3753, 28229, 7005, 81, 980, 1691, 225, 4998, 2340, 81, 2050, 463, 4548, 370, 33668, 27, 280, 904, 86, 17076, 6936, 33668, 30, 310, 2277, 318, 7005, 7879, 904, 308, 2371, 7281, 922, 4548, 490, 284, 629, 1516, 419, 318, 7005, 280, 1605, 284, 436, 310, 2277, 318, 7005, 328, 596, 1516, 419, 318, 7005, 44, 291, 1596, 44, 324, 629, 1516, 419, 318, 7005, 32, 1689, 26, 410, 26, 33441, 318, 7005, 77, 34, 5259, 291, 2940, 308, 22239, 30, 44121, 711, 324, 3097, 284, 415, 2069, 26, 410, 1516, 419, 318, 7005, 27, 610, 225, 34, 44, 291, 29239, 13594, 280, 225, 34, 284, 813, 44, 291, 29239, 13594, 280, 629, 1516, 419, 318, 7005, 6448, 35, 79, 284, 2218, 298, 573, 5633, 32, 45930, 15515, 32, 1613, 26, 34302, 5633, 32, 45930, 15515, 32, 99, 32, 33441, 318, 7005, 610, 596, 26, 455, 13594, 3427, 998, 346, 863, 225, 34, 44, 291, 29239, 13594, 1454, 225, 35, 284, 442, 29239, 13594, 203, 589, 29239, 13594, 81, 1516, 279, 1632, 278, 26, 18097, 30, 13314, 97, 711, 284, 1524, 284, 1513, 7093, 94, 587, 709, 13446, 6874, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ -1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 5, 5, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 2, 2, 4, 2, 7, 7, 7, 6, 7, 7, 7, 7, 5, 6, 3, 4, 3, 0, 2, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 0, 1, 1, 1, 5, 4, 9, 9, 9, 8, 9, 7, 8, 7, 12, 12, 11, 12, 10, 11, 9, 10, 8, 10, 9, 10, 5, 6, 5, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 0, 1, 3, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 6, 6, 6, 7, 6, 7 ]
[ -1, 0, 0, 0, 0, 4, 4, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 4, 2, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 0, 10, 10, 10, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 10, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0, 0, 0, 0, 11, 0, 0, 2, 2, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 12, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 1, 1 ]
[ 1070, 296, 41002, 696, 32, 753, 32, 1439, 81, 753, 1188, 3772, 3180, 203, 823, 2556, 10515, 2101, 18606, 3180, 26, 1761, 3180, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2926, 347, 5848, 392, 316, 81, 20756, 81, 3306, 47, 35, 711, 291, 630, 32, 2816, 280, 2926, 291, 630, 32, 268, 81, 20756, 81, 3306, 280, 316, 81, 20756, 81, 3306, 284, 665, 1505, 26, 784, 711, 291, 42004, 280, 313, 20756, 81, 2816, 81, 30187, 4356, 20, 291, 630, 32, 2816, 280, 630, 32, 1553, 81, 363, 81, 2342, 81, 5729, 26, 784, 32, 2816, 30, 4180, 3037, 5848, 392, 313, 6579, 392, 313, 10401, 392, 313, 48494, 81, 2215, 392, 313, 48494, 81, 2215, 81, 10401, 3439, 4180, 42004, 27, 291, 415, 630, 32, 2816, 328, 3037, 10401, 392, 313, 48494, 81, 2215, 81, 10401, 18270, 324, 415, 827, 26, 784, 32, 268, 81, 20756, 81, 3306, 14585, 426, 505, 646, 328, 3037, 410, 392, 313, 3222, 392, 313, 1808, 18270, 400, 3636, 10091, 440, 268, 81, 20756, 81, 3306, 1395, 526, 312, 12738, 1451, 657, 324, 415, 646, 225, 34, 32, 34, 2511, 630, 32, 268, 81, 20756, 81, 3306, 2511, 225, 35, 44, 400, 3636, 10091, 440, 268, 81, 20756, 81, 3306, 1395, 225, 328, 428, 34, 30, 225, 35, 25790, 291, 442, 2933, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 4, 6, 6, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 8, 11, 11, 9, 11, 11, 9, 11, 11, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 8, 4, 4, 5, 7, 8, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 5, 5, 7, 11, 13, 12, 13, 13, 13, 13, 13, 11, 10, 10, 8, 8, 8, 11, 11, 9, 11, 11, 9, 11, 11, 7, 7, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 8, 10, 10, 10, 9, 9, 10, 11, 11, 11, 11, 11, 9, 9, 10, 7, 7, 7, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 3, 1, 2, 2, 0, 0, 0, 0, 5, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 4, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 2116, 505, 280, 313, 9746, 342, 475, 356, 45590, 20, 203, 1070, 3619, 32, 858, 1188, 29657, 203, 1070, 3145, 1032, 7643, 1188, 706, 2304, 203, 1070, 3145, 1032, 7643, 32, 3378, 1188, 8790, 203, 1070, 3145, 1032, 7643, 32, 3378, 32, 5704, 101, 1188, 9566, 203, 823, 7502, 56, 8017, 1572, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 49034, 711, 291, 630, 32, 5704, 101, 280, 428, 9369, 26, 88, 27, 436, 296, 328, 49034, 79, 284, 477, 2433, 284, 665, 8379, 81, 11879, 81, 4531, 26, 784, 711, 291, 443, 11595, 26, 1473, 711, 324, 665, 1156, 1664, 3207, 784, 30, 8379, 711, 400, 3097, 324, 665, 1156, 1403, 3207, 784, 711, 400, 3097, 324, 665, 1156, 4775, 3207, 784, 30, 484, 81, 681, 30, 786, 30, 15318, 711, 400, 3097, 291, 442, 11595, 284, 665, 46053, 26, 784, 30, 1115, 1367, 711, 291, 630, 32, 1367, 280, 8822, 203, 823, 2108, 4934, 3303, 518, 1934, 18275, 26, 1473, 711, 284, 665, 894, 81, 1347, 81, 5704, 101, 26, 784, 711, 291, 28923, 280, 7502, 56, 8017, 1572, 24562, 291, 706, 2304, 32, 1036, 3303, 518, 81, 464, 81, 13756, 26, 12362, 30, 330, 405, 19695, 101, 683, 291, 1201, 28923, 32, 5704, 101, 610, 1605, 291, 1201, 28923, 32, 1367, 610, 3447, 405, 19695, 101, 563, 5053, 1367, 950, 5053, 2999, 950, 225, 34, 32, 34, 22001, 284, 665, 894, 81, 1347, 81, 2480, 81, 24418, 26, 784, 711, 291, 28923, 280, 7502, 56, 8017, 1572, 2009, 324, 301, 400, 313, 314, 563, 313, 12036, 35, 35, 53, 35, 38, 36, 36, 39, 36, 37, 40, 34, 43, 39, 42, 34, 41, 41, 39, 34, 20, 324, 320, 291, 8834, 291, 706, 2304, 32, 1036, 3303, 518, 81, 464, 81, 13756, 26, 12362, 30, 330, 405, 19695, 101, 683, 291, 1201, 28923, 32, 5704, 101, 610, 7316, 324, 313, 314, 563, 313, 12036, 35, 35, 53, 35, 38, 36, 36, 39, 36, 37, 40, 34, 43, 39, 42, 34, 41, 41, 39, 34, 392, 324, 330, 29222, 81, 681, 950, 330, 28997, 370, 324, 330, 681, 950, 330, 33677, 5704, 370, 324, 313, 405, 19695, 101, 563, 5053, 1367, 950, 5053, 2999, 950, 225, 34, 32, 34, 1540, 291, 16752, 291, 1201, 28923, 32, 1367, 610, 3447, 405, 19695, 101, 563, 5053, 1367, 950, 5053, 2999, 950, 225, 34, 32, 34, 22001, 284, 665, 894, 81, 2951, 81, 2480, 81, 24418, 26, 784, 711, 291, 28923, 280, 7502, 56, 8017, 1572, 2009, 324, 301, 400, 313, 314, 563, 313, 12036, 35, 35, 53, 35, 38, 36, 36, 39, 36, 37, 40, 34, 43, 39, 42, 34, 41, 41, 39, 34, 392, 400, 313, 6891, 81, 24418, 563, 1605, 324, 320, 291, 8834, 291, 706, 2304, 32, 1036, 3303, 518, 81, 464, 81, 13756, 26, 12362, 30, 330, 405, 19695, 101, 683, 291, 1201, 28923, 32, 5704, 101, 610, 7316, 324, 313, 314, 563, 313, 12036, 35, 35, 53, 35, 38, 36, 36, 39, 36, 37, 40, 34, 43, 39, 42, 34, 41, 41, 39, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 6, 6, 9, 9, 10, 9, 7, 8, 8, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 7, 6, 6, 8, 9, 9, 10, 9, 9, 9, 8, 8, 7, 7, 8, 9, 9, 10, 9, 8, 8, 7, 7, 8, 9, 9, 10, 9, 9, 10, 10, 9, 9, 9, 9, 9, 8, 8, 5, 5, 6, 2, 2, 3, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 4, 4, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 7, 9, 9, 9, 9, 4, 4, 5, 7, 8, 8, 6, 6, 4, 4, 5, 7, 8, 6, 6, 10, 10, 10, 10, 8, 12, 12, 10, 14, 14, 12, 13, 13, 13, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 9, 9, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 9, 9, 4, 4, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 7, 9, 9, 9, 9, 4, 4, 5, 7, 8, 8, 6, 6, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 13, 13, 11, 15, 15, 13, 14, 14, 14, 12, 8, 8, 4, 4, 5, 7, 8, 6, 6, 10, 10, 10, 10, 8, 12, 12, 10, 14, 14, 12, 13, 13, 13, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 9, 9, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 10, 10, 9, 9, 4, 4, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 7, 9, 9, 9, 9, 4, 4, 5, 7, 8, 8, 6, 6, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 4, 4, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 2, 1, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 2, 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, 2, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 5, 1, 1, 2, 1, 1, 1, 1, 1, 2, 7, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 2, 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 ]
[ 465, 1631, 83, 32, 28988, 203, 465, 1631, 83, 32, 2961, 12911, 83, 203, 465, 12265, 2852, 12911, 83, 203, 823, 617, 871, 42161, 33142, 325, 26, 12265, 2852, 12911, 83, 32, 41281, 829, 499, 203, 202, 589, 1156, 1664, 3207, 630, 30, 357, 202, 1172, 20706, 357, 202, 1172, 5662, 47, 1815, 30, 357, 202, 1172, 13491, 47, 34, 30, 357, 202, 1172, 3713, 280, 313, 8570, 2168, 3713, 392, 357, 202, 4330, 20706, 357, 202, 28686, 280, 2933, 30, 357, 202, 1001, 12255, 2019, 280, 1665, 30, 357, 202, 8931, 2019, 280, 1665, 30, 357, 202, 8631, 2019, 280, 1665, 30, 203, 202, 27, 499, 357, 202, 4124, 280, 2149, 357, 202, 325, 1406, 12255, 2019, 438, 646, 1665, 499, 355, 202, 4124, 1365, 1001, 12255, 2019, 1446, 280, 1406, 12255, 2019, 357, 202, 325, 11764, 2019, 438, 646, 1665, 499, 355, 202, 4124, 1365, 8931, 2019, 1446, 280, 11764, 2019, 357, 202, 325, 19742, 2019, 438, 646, 1665, 499, 355, 202, 4124, 1365, 8631, 2019, 1446, 280, 19742, 2019, 357, 202, 3989, 2852, 12911, 83, 32, 41281, 3667, 1664, 3207, 630, 30, 355, 202, 95, 13653, 32, 28988, 32, 1744, 2344, 26, 603, 202, 1172, 280, 2266, 30, 603, 202, 1172, 5662, 280, 2266, 5662, 30, 603, 202, 1172, 13491, 280, 2266, 13491, 30, 603, 202, 1172, 8427, 280, 313, 2390, 392, 603, 202, 2186, 280, 2266, 3713, 30, 603, 202, 3478, 5662, 280, 3177, 30, 603, 202, 43434, 444, 280, 2933, 30, 603, 202, 8631, 280, 32710, 30, 603, 202, 4536, 2611, 280, 225, 34, 30, 603, 202, 326, 4124, 355, 202, 27, 357, 202, 27, 357, 202, 784, 3667, 4330, 280, 11188, 357, 202, 784, 3667, 1744, 2344, 280, 630, 1114, 1393, 2656, 2284, 346, 203, 202, 589, 3118, 2344, 26, 630, 829, 499, 357, 202, 601, 630, 1114, 1393, 2656, 2284, 346, 203, 202, 589, 739, 2168, 26, 630, 30, 2266, 829, 499, 357, 202, 95, 13653, 32, 28988, 32, 1744, 2344, 26, 630, 32, 1744, 2344, 1026, 4553, 47, 1815, 30, 2266, 280, 2266, 829, 203, 202, 589, 622, 2168, 26, 630, 829, 499, 357, 202, 601, 1631, 83, 32, 28988, 32, 1744, 2344, 26, 630, 32, 1744, 2344, 1026, 2467, 47, 1815, 30, 2266, 280, 2933, 829, 203, 202, 589, 739, 7942, 26, 630, 30, 11188, 829, 499, 357, 202, 784, 3667, 4330, 280, 11188, 203, 202, 589, 622, 7942, 26, 630, 829, 499, 357, 202, 601, 630, 3667, 4330, 203, 202, 589, 622, 33873, 26, 630, 829, 499, 357, 202, 601, 1631, 83, 32, 28988, 32, 1744, 2344, 26, 630, 32, 1744, 2344, 1026, 2467, 47, 1815, 30, 19742, 47, 1815, 829, 203, 202, 589, 739, 33873, 26, 630, 30, 32710, 829, 499, 357, 202, 95, 13653, 32, 28988, 32, 1744, 2344, 26, 630, 32, 1744, 2344, 1026, 4553, 47, 1815, 30, 19742, 47, 28686, 829, 203, 823, 617, 871, 42161, 9071, 26, 225, 12265, 2852, 12911, 83, 32, 41281, 829, 499, 203, 202, 589, 1156, 1664, 3207, 630, 30, 357, 202, 1172, 20706, 357, 202, 1172, 5662, 47, 1815, 30, 357, 202 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 1, 3, 3, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 5, 7, 7, 7, 7, 4, 4, 6, 5, 4, 4, 6, 5, 5, 4, 4, 4, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 7, 6, 6, 4, 4, 5, 5, 7, 7, 6, 6, 6, 5, 5, 5, 10, 9, 11, 11, 11, 11, 8, 8, 9, 9, 4, 4, 5, 5, 7, 6, 6, 6, 5, 5, 5, 10, 9, 11, 11, 11, 8, 8, 9, 4, 4, 5, 5, 7, 6, 6, 6, 5, 5, 5, 10, 9, 11, 11, 11, 8, 8, 9, 4, 4, 9, 9, 9, 9, 8, 9, 7, 8, 8, 7, 7, 7, 7, 11, 11, 10, 11, 9, 10, 10, 9, 9, 9, 11, 10, 10, 9, 9, 9, 11, 11, 10, 10, 11, 9, 9, 9, 11, 11, 10, 10, 11, 9, 9, 9, 11, 11, 10, 10, 12, 12, 9, 9, 11, 10, 10, 11, 9, 9, 9, 11, 11, 10, 10, 9, 9, 9, 11, 11, 10, 10, 9, 9, 9, 11, 10, 10, 9, 9, 9, 11, 11, 10, 10, 11, 9, 9, 9, 10, 11, 9, 9, 9, 7, 7, 7, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 5, 7, 8, 8, 8, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 9, 9, 8, 9, 7, 8, 8, 7, 7, 9, 10, 10, 9, 7, 8, 9, 7, 7, 8, 8, 7, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 5, 9, 8, 9, 7, 8, 8, 7, 7, 9, 10, 10, 9, 7, 8, 9, 7, 7, 8, 8, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 8, 7, 8, 6, 6, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 5, 6, 7, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 5, 9, 8, 9, 7, 8, 8, 7, 7, 9, 10, 10, 9, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 9, 9, 8, 9, 7, 8, 8, 7, 7, 9, 10, 10, 9, 7, 8, 9, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 1, 3, 3, 4, 4, 4, 4, 4, 4, 6, 5, 4, 4, 6, 6, 5, 6, 4, 4, 4 ]
[ 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 3, 3, 3, 0, 0, 1, 1, 2, 2, 2, 2, 0, 3, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 9, 9, 1, 1, 1, 2, 2, 2, 0, 11, 2, 2, 0, 13, 13, 2, 2, 2, 0, 0, 0, 15, 15, 2, 2, 2, 0, 0, 17, 17, 2, 2, 2, 0, 0, 19, 19, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 4, 4, 3, 3, 0, 1, 1, 1, 3, 3, 3, 0, 0, 1, 1, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 3, 3, 2, 1, 1, 1, 0, 0, 5, 5, 2, 1, 1, 1, 0, 0, 7, 7, 1, 2, 1, 1, 0, 9, 9, 2, 1, 1, 1, 0, 0, 11, 11, 1, 1, 1, 0, 0, 13, 13, 1, 1, 1, 0, 15, 15, 1, 1, 1, 0, 0, 17, 17, 2, 1, 1, 1, 19, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 3, 2, 1, 1, 5, 5, 1, 4, 4, 3, 3, 1, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 3, 2, 1, 1, 5, 5, 1, 4, 4, 4, 4, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 2, 0, 0, 4, 4, 5, 5, 1, 2, 2, 2, 5, 5, 5, 0, 0, 1, 2, 4, 4, 6, 6, 1, 2, 2, 2, 6, 6, 6, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 7, 7, 1, 2, 2, 2, 2, 2, 7, 7, 7, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 0, 4, 4, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 4, 4, 4, 0, 0, 1, 1, 2, 2, 2, 2, 0, 3, 2, 2, 0, 0, 5, 2, 2, 2, 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, 1070, 18792, 32, 21332, 1188, 35198, 203, 465, 14785, 619, 5239, 203, 1070, 8482, 5538, 1188, 4527, 30, 12002, 10490, 924, 203, 1070, 8482, 5538, 32, 3378, 1188, 1910, 1243, 203, 1070, 8482, 5538, 32, 1262, 32, 24770, 1188, 13935, 203, 823, 1910, 1827, 56, 1243, 26, 67, 1243, 711, 284, 665, 1156, 1664, 3207, 291, 630, 30, 291, 10066, 30, 291, 6885, 30, 291, 4576, 30, 291, 3298, 30, 291, 4257, 424, 30, 291, 23943, 2265, 30, 291, 6063, 30, 291, 5254, 299, 81, 13886, 30, 291, 2677, 81, 15964, 30, 291, 10066, 81, 32370, 30, 291, 6885, 81, 327, 39699, 30, 291, 17836, 81, 32370, 30, 291, 1974, 81, 2816, 30, 291, 4117, 30, 291, 16302, 30, 291, 24809, 30, 291, 3984, 30, 291, 28404, 30, 291, 22186, 81, 16343, 1649, 30, 291, 1760, 81, 5207, 81, 15710, 30, 291, 1760, 81, 1877, 81, 3292, 30, 291, 2064, 81, 99, 81, 1160, 30, 291, 420, 5317, 81, 5410, 284, 8063, 291, 415, 1346, 26, 1141, 710, 681, 785, 863, 330, 1808, 25, 556, 330, 887, 81, 853, 25, 328, 2125, 556, 330, 1449, 81, 853, 25, 328, 2125, 436, 2125, 328, 6885, 32, 2810, 22805, 324, 3636, 12002, 10490, 924, 440, 4495, 707, 47839, 1897, 6885, 2080, 436, 489, 5995, 1243, 7144, 291, 2599, 26, 67, 1827, 56, 1243, 30, 630, 14585, 1664, 3207, 324, 10066, 47, 10615, 30, 324, 6885, 47, 3543, 30, 324, 4576, 47, 3473, 30, 324, 3298, 47, 2929, 30, 324, 4257, 424, 47, 2496, 424, 30, 324, 23943, 2265, 47, 1036, 3303, 2265, 30, 324, 6063, 47, 10500, 30, 324, 5254, 299, 81, 13886, 47, 4432, 299, 81, 13886, 30, 324, 2677, 81, 15964, 47, 4502, 81, 15964, 30, 324, 10066, 81, 32370, 47, 10615, 81, 32370, 30, 324, 6885, 81, 327, 39699, 47, 3543, 81, 327, 39699, 30, 324, 17836, 81, 32370, 47, 18875, 81, 32370, 30, 324, 1974, 81, 2816, 47, 1877, 81, 2816, 30, 324, 4117, 47, 5566, 30, 324, 16302, 47, 16648, 30, 324, 24809, 47, 16754, 30, 324, 3984, 47, 4573, 30, 324, 28404, 47, 39447, 30, 324, 22186, 81, 16343, 1649, 47, 20933, 81, 16343, 1649, 30, 324, 1760, 81, 5207, 81, 15710, 47, 1977, 81, 5207, 81, 15710, 30, 324, 1760, 81, 1877, 81, 3292, 47, 1977, 81, 1877, 81, 3292, 30, 324, 2064, 81, 99, 81, 1160, 47, 2627, 81, 99, 81, 1160, 30, 324, 420, 5317, 81, 5410, 47, 90, 5317, 81, 5410, 291, 829, 284, 665, 7379, 26, 784, 30, 3115, 81, 18241, 711, 291, 2599, 26, 67, 1827, 56, 1243, 30, 630, 547, 8788, 26, 2988, 81, 18241, 27, 291, 630, 32, 1293, 81, 2810, 280, 5436, 346, 291, 630, 32, 94, 81, 9150, 280, 5436, 346, 291, 436, 636, 30, 2125, 328, 630, 32, 3543, 81, 2285, 32, 3028, 2262, 324, 1929, 81, 1141, 280, 4527, 32, 8604, 26, 1141, 710, 3229, 3490, 324, 630, 32, 1293, 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, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 3, 3, 5, 7, 12, 11, 13, 13, 10, 10, 12, 12, 9, 9, 12, 12, 12, 12, 10, 10, 8, 8, 11, 11, 11, 11, 9, 9, 7, 8, 8, 8, 10, 11, 10, 5, 5, 7, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 9, 8, 9, 9, 7, 7, 7, 9, 8, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 2, 2, 3, 4, 5, 4, 4, 5, 5, 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, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 5, 6, 6, 5, 5, 8, 9, 9, 9, 7, 8, 7, 5, 5, 9, 9, 8, 8, 10, 11, 10, 12, 11, 13, 13, 6, 6, 10, 11, 11 ]
[ 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, 1, 2, 3, 3, 0, 4, 4, 1, 1, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 2, 2, 2, 2, 17, 17, 17, 2, 2, 2, 19, 19, 2, 2, 2, 21, 21, 2, 2, 2, 23, 23, 23, 2, 2, 2, 25, 25, 2, 2, 2, 27, 27, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 39, 39, 39, 2, 2, 2, 41, 41, 41, 41, 2, 2, 2, 43, 43, 43, 43, 2, 2, 2, 45, 45, 45, 45, 2, 2, 2, 47, 47, 47, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 0, 9, 2, 2, 1, 1, 1, 0, 11, 2, 2, 2, 1, 1, 1, 13, 2, 1, 1, 1, 0, 0, 0, 15, 2, 2, 2, 2, 1, 1, 1, 0, 0, 17, 2, 2, 2, 1, 1, 1, 0, 0, 19, 2, 2, 2, 1, 1, 1, 0, 0, 0, 21, 2, 2, 2, 2, 1, 1, 1, 0, 0, 23, 2, 2, 2, 1, 1, 1, 0, 0, 25, 2, 2, 2, 1, 1, 1, 27, 2, 1, 1, 1, 29, 2, 1, 1, 1, 31, 2, 1, 1, 1, 33, 2, 1, 1, 1, 35, 2, 1, 1, 1, 0, 0, 0, 37, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 39, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 41, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 43, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 45, 2, 2, 2, 2, 1, 1, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 3, 1, 1, 3, 3, 0, 2, 2, 2, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 5, 5, 0, 2, 2 ]
[ 1070, 1561, 32, 2282, 32, 11597, 1188, 28, 203, 1070, 1561, 32, 3626, 32, 13324, 18022, 1188, 319, 203, 1070, 1561, 32, 3626, 32, 13324, 18620, 1188, 319, 203, 1070, 1561, 32, 3626, 32, 5086, 1188, 319, 203, 1070, 1561, 32, 3626, 32, 8275, 1188, 319, 203, 1070, 1561, 32, 3626, 32, 21826, 307, 1188, 319, 203, 1070, 3995, 1188, 28, 203, 823, 4089, 24057, 26, 11597, 30, 6061, 5086, 30, 34982, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 3495, 24057, 30, 630, 14585, 1664, 16369, 291, 630, 1114, 15546, 18022, 280, 37418, 18022, 346, 291, 630, 1114, 15546, 18620, 280, 37418, 18620, 346, 291, 630, 1114, 426, 280, 4247, 291, 630, 32, 3626, 5086, 280, 6061, 5086, 346, 291, 630, 32, 9855, 280, 225, 35, 291, 630, 32, 9855, 2708, 280, 225, 35, 284, 665, 745, 15028, 26, 784, 30, 40149, 711, 291, 630, 32, 23956, 280, 1847, 26, 324, 1769, 26, 21378, 26, 34, 30, 225, 36, 27, 429, 10477, 410, 26, 34, 30, 40149, 32, 9855, 471, 225, 34, 471, 324, 40149, 32, 9855, 27, 291, 40149, 32, 9855, 5912, 630, 32, 23956, 291, 415, 630, 32, 23956, 610, 225, 34, 44, 324, 1459, 2884, 23, 101, 43585, 7791, 500, 1182, 11129, 3107, 904, 40149, 27, 291, 813, 44, 324, 1459, 2884, 15226, 36757, 3009, 904, 101, 11555, 904, 40149, 27, 291, 442, 40149, 32, 9855, 2511, 225, 34, 284, 665, 739, 5055, 2007, 26, 784, 30, 25708, 30, 457, 30, 48087, 30, 629, 102, 711, 291, 630, 32, 29597, 280, 25708, 291, 630, 32, 2775, 10364, 280, 457, 291, 630, 32, 35669, 391, 543, 280, 48087, 291, 630, 32, 1428, 21488, 280, 629, 102, 284, 665, 739, 13324, 18022, 26, 784, 30, 11129, 18022, 711, 291, 630, 32, 15546, 18022, 280, 11129, 18022, 284, 665, 739, 13324, 18620, 26, 784, 30, 11129, 18620, 711, 291, 630, 32, 15546, 18620, 280, 11129, 18620, 284, 665, 37418, 18022, 26, 784, 711, 291, 630, 32, 15546, 18022, 346, 284, 665, 37418, 18620, 26, 784, 711, 291, 630, 32, 15546, 18620, 32, 15546, 18620, 346, 284, 665, 7548, 5775, 26, 784, 711, 291, 630, 32, 2584, 280, 2933, 284, 665, 1118, 404, 26, 784, 711, 291, 1459, 2884, 23, 101, 438, 1118, 9434, 6835, 322, 9936, 274, 20, 904, 630, 1114, 426, 27, 291, 630, 32, 9353, 9134, 101, 346, 284, 665, 1712, 26, 784, 711, 291, 415, 630, 32, 2584, 44, 324, 630, 32, 290, 404, 346, 324, 630, 32, 2584, 280, 3177, 284, 665, 34352, 26, 784, 711, 291, 1459, 2884, 23, 101, 438, 14089, 328, 322, 6983, 34352, 20, 904, 630, 1114, 426, 27, 291, 630, 32, 290, 404, 346, 291, 630, 32, 9353, 9134, 101, 346, 284, 665, 37920, 26, 784, 711, 291, 1459, 2884, 23, 101, 438, 14089, 328, 322, 6983, 37920, 20, 904, 630, 1114, 426, 27, 291, 630, 32, 290, 404, 346, 284, 665, 40283, 26, 784, 711, 291, 1459, 2884, 23, 101, 438, 14089, 328, 322, 6983, 40283, 20, 904, 630, 1114, 426, 27, 291, 630, 32, 290, 404, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 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, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 10, 13, 13, 14, 13, 13, 14, 13, 11, 11, 13, 13, 14, 13, 13, 14, 15, 13, 10, 11, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 5, 7, 8, 6, 6, 7, 5, 5, 5, 8, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 5, 5, 6, 6, 6, 9, 13, 13, 13, 13, 13, 13, 11, 11, 10, 4, 4, 5, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 8, 9, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 9, 10, 10, 9, 6, 6, 9, 10, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 8, 7 ]
[ 0, 0, 1, 2, 1, 4, 0, 3, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 6, 6, 6, 3, 0, 7, 7, 1, 2, 1, 2, 2, 3, 2, 2, 2, 7, 7, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 1, 1, 3, 2, 1, 1, 3, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 2, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 2, 2, 0, 0, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 5, 1, 2, 1, 2, 5, 5, 0, 2, 2, 1, 4, 4, 6, 1, 2, 1, 2, 6, 6, 0, 2, 2, 0, 2, 2, 1, 4, 4, 7, 1, 2, 1, 2, 7, 7, 0, 2, 0, 0, 4, 4, 8, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 9, 2, 1, 2, 9, 9, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 3, 3, 0, 2, 0, 0, 4, 4, 10, 2, 1, 2, 10, 10, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 11, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 12, 2, 1, 2, 12, 12, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1 ]
[ 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 4448, 7294, 203, 1070, 1256, 81, 15265, 32, 3378, 1188, 2680, 11512, 203, 823, 4101, 11512, 10564, 26, 1473, 711, 284, 665, 3909, 26, 784, 30, 1326, 30, 1115, 5321, 711, 291, 537, 81, 496, 30, 2834, 81, 605, 280, 2680, 11512, 32, 5740, 32, 3317, 81, 496, 14605, 5321, 27, 291, 415, 13957, 1114, 2859, 32, 18132, 44, 324, 4755, 280, 13957, 32, 5740, 32, 371, 81, 1700, 346, 291, 813, 44, 324, 4755, 280, 4448, 7294, 26, 1357, 27, 291, 2834, 81, 605, 32, 2714, 81, 15297, 81, 1935, 26, 2851, 27, 291, 442, 537, 81, 496, 284, 665, 18189, 26, 784, 30, 1326, 30, 13226, 81, 678, 711, 291, 25249, 280, 2680, 11512, 32, 5740, 32, 11432, 81, 496, 26, 15297, 81, 678, 27, 291, 442, 25249, 284, 665, 438, 81, 15265, 81, 1676, 26, 784, 711, 291, 442, 2933, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 8, 8, 7, 7, 8, 8, 6, 6, 10, 9, 10, 8, 9, 9, 9, 8, 10, 8, 4, 4, 5, 7, 8, 6, 7, 5, 5, 5, 8, 8, 11, 12, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 9, 9, 11, 11, 12, 11, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 5, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 6, 6, 10, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 4, 4, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 7138, 203, 465, 1133, 203, 465, 36252, 203, 465, 42406, 203, 465, 13247, 203, 465, 316, 203, 465, 21454, 3483, 619, 21454, 203, 465, 3995, 203, 465, 5167, 203, 465, 5780, 2825, 203, 1070, 13625, 1188, 31466, 203, 1070, 25679, 1188, 25679, 203, 1070, 39231, 1188, 39231, 203, 1070, 21454, 3483, 32, 37741, 1188, 1910, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 2387, 32, 4554, 1188, 2908, 81, 452, 81, 800, 203, 1070, 8527, 32, 2387, 32, 1536, 9211, 1188, 17310, 1147, 203, 1070, 8527, 32, 1262, 32, 2200, 1188, 10024, 6221, 16887, 11118, 203, 1070, 11550, 32, 6308, 32, 3378, 1188, 2680, 8859, 30, 559, 1240, 18509, 203, 1070, 11550, 32, 23125, 32, 3378, 1188, 488, 15401, 8357, 30, 488, 15401, 4360, 30, 488, 15401, 2633, 30, 488, 15401, 3173, 203, 1070, 11550, 32, 23125, 32, 3378, 1188, 4871, 81, 18838, 81, 23179, 30, 4871, 81, 18838, 81, 34465, 30, 4871, 81, 18838, 81, 17583, 30, 4871, 81, 18838, 81, 3963, 203, 1070, 11550, 32, 17260, 81, 34465, 32, 3378, 1188, 18334, 30, 488, 18509, 203, 1070, 11550, 32, 17260, 81, 34465, 32, 878, 81, 36118, 1188, 3319, 26916, 203, 1070, 11550, 32, 3959, 32, 3378, 1188, 12831, 30, 488, 10470, 4477, 203, 1070, 16403, 1188, 35513, 203, 1070, 16403, 1188, 273, 16826, 107, 203, 1070, 16403, 1188, 1123, 10259, 203, 1070, 16403, 1188, 298, 841, 42583, 203, 1070, 8745, 1188, 1245, 619, 5741, 203, 1070, 8745, 1188, 2361, 81, 8239, 619, 2361, 203, 1070, 8745, 32, 6528, 81, 8239, 1188, 6491, 81, 5571, 2687, 30, 18605, 203, 1070, 8745, 32, 13519, 81, 8239, 1188, 32050, 81, 13000, 30, 16469, 81, 3963, 30, 2552, 1147, 30, 1778, 81, 891, 203, 1070, 8745, 32, 10325, 356, 690, 1188, 6608, 661, 3206, 2374, 20767, 690, 203, 1070, 8745, 1188, 309, 37, 81, 2304, 203, 1070, 44524, 1188, 44524, 203, 613, 6283, 3285, 19419, 81, 13681, 280, 225, 39, 203, 24111, 81, 10393, 81, 26803, 280, 428, 284, 313, 525, 555, 34465, 32, 6528, 28591, 265, 32, 508, 20, 203, 79, 203, 823, 488, 1104, 28827, 26, 17022, 32, 3092, 711, 284, 4096, 1468, 280, 21454, 32, 4477, 1176, 346, 284, 1326, 81, 770, 262, 280, 21454, 32, 36172, 26, 1536, 47, 6665, 32, 6665, 32, 2174, 27, 284, 31207, 81, 5914, 647, 280, 21454, 32, 39471, 26, 1536, 47, 2700, 27, 284, 31207, 81, 5914, 81, 770, 280, 21454, 32, 36172, 346, 284, 6089, 280, 301, 291, 330, 4170, 950, 330, 10676, 81, 5817, 4137, 370, 291, 330, 4568, 81, 29635, 950, 3177, 30, 284, 320, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 5461, 101, 23, 101, 20, 904, 308, 784, 32, 1935, 30, 32448, 415, 630, 32, 23048, 81, 5914, 813, 9142, 284, 477, 17614, 284, 665, 323, 2135, 26, 6933, 711, 291, 4691, 4137, 280, 9011, 32, 5740, 32, 2029, 26, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 4, 6, 7, 6, 8, 7, 10, 9, 10, 8, 9, 6, 2, 2, 5, 5, 4, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 2, 2, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 6, 6, 9, 8, 9, 7, 7, 8, 8, 9, 10, 10, 10, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 8, 7, 7, 10, 11, 9, 10, 9, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 1, 1, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 10, 10, 10, 10, 0, 11, 11, 11, 11, 0, 12, 12, 12, 12, 0, 13, 13, 0, 1, 2, 13, 13, 0, 14, 14, 1, 2, 14, 14, 0, 15, 15, 1, 2, 1, 4, 1, 6, 15, 15, 0, 16, 16, 1, 2, 1, 4, 1, 6, 16, 16, 0, 17, 17, 1, 2, 1, 4, 4, 17, 17, 0, 18, 18, 1, 2, 1, 4, 18, 18, 0, 0, 0, 0, 0, 19, 19, 1, 2, 1, 4, 4, 19, 19, 0, 0, 20, 20, 1, 2, 1, 4, 20, 20, 0, 0, 0, 0, 21, 21, 1, 2, 1, 4, 21, 21, 0, 21, 21, 0, 0, 0, 22, 22, 1, 2, 1, 4, 22, 22, 0, 0, 22, 22, 0, 0, 22, 22, 0, 0, 22, 22, 0, 0, 0, 23, 23, 1, 2, 1, 4, 23, 23, 0, 0, 0, 0, 23, 23, 0, 0, 0, 0, 23, 23, 0, 0, 0, 0, 23, 23, 0, 0, 0, 0, 0, 24, 24, 1, 2, 2, 2, 1, 4, 24, 24, 24, 24, 0, 0, 25, 25, 1, 2, 2, 2, 1, 4, 4, 4, 25, 25, 0, 0, 26, 26, 1, 2, 1, 4, 26, 26, 26, 26, 0, 0, 0, 27, 27, 27, 27, 0, 28, 28, 28, 28, 0, 0, 0, 29, 29, 29, 29, 0, 0, 30, 30, 30, 30, 0, 0, 0, 31, 31, 31, 31, 3, 3, 0, 32, 32, 32, 32, 0, 0, 3, 3, 0, 33, 33, 1, 2, 2, 2, 33, 33, 0, 0, 0, 33, 33, 0, 34, 34, 1, 2, 2, 2, 34, 34, 0, 0, 34, 34, 0, 0, 34, 34, 0, 34, 34, 0, 0, 0, 35, 35, 1, 2, 2, 2, 35, 35, 0, 0, 0, 0, 0, 0, 36, 36, 36, 36, 0, 0, 0, 0, 37, 37, 37, 37, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 40, 40, 1, 1, 2, 0, 1, 2, 2, 40, 40, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 4, 4, 1, 6, 6, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0 ]
[ 1070, 48885, 39, 32, 30609, 1188, 1910, 1547, 203, 1070, 48885, 39, 32, 30609, 1188, 1910, 4852, 203, 1070, 48885, 39, 32, 30609, 1188, 1910, 1097, 5374, 203, 1070, 48885, 39, 32, 30609, 1188, 1910, 1243, 1284, 203, 1070, 48885, 39, 32, 30609, 1188, 1910, 48944, 203, 2245, 81, 19100, 81, 40186, 280, 1156, 2811, 505, 261, 203, 589, 617, 99, 770, 505, 13707, 3207, 99, 770, 711, 284, 442, 3778, 67, 1547, 1371, 11915, 2537, 31, 8969, 16654, 1643, 26, 99, 770, 32, 4548, 1026, 2678, 770, 32, 5904, 1026, 2678, 770, 32, 3368, 1157, 203, 589, 617, 99, 6665, 505, 13707, 3207, 99, 6665, 711, 284, 2340, 30, 1133, 280, 2678, 6665, 32, 770, 1026, 2678, 6665, 32, 1003, 346, 284, 442, 3778, 67, 4852, 1371, 11915, 2537, 31, 2537, 2149, 19189, 8029, 1748, 16654, 1643, 26, 770, 32, 4548, 1026, 17739, 2340, 32, 5904, 1026, 17739, 2340, 32, 3368, 1026, 17739, 1133, 32, 11302, 1026, 17739, 1133, 32, 19880, 1026, 17739, 1133, 32, 3090, 1157, 203, 589, 617, 99, 1094, 8319, 505, 13707, 3207, 99, 1094, 8319, 711, 284, 17215, 280, 2678, 1094, 8319, 32, 18713, 346, 284, 442, 3778, 67, 1097, 5374, 15266, 8969, 16654, 1643, 26, 1657, 26, 18713, 471, 17215, 27, 203, 589, 617, 99, 1160, 1055, 505, 13707, 3207, 1055, 711, 284, 415, 1650, 32, 13433, 2262, 291, 2935, 280, 1650, 32, 2544, 346, 291, 415, 2519, 81, 19100, 81, 40186, 44, 324, 2935, 81, 466, 280, 19436, 2296, 1643, 26, 2544, 27, 291, 813, 44, 324, 2935, 81, 466, 280, 19436, 2296, 1643, 26, 681, 26, 2544, 490, 291, 442, 3778, 67, 1243, 1284, 15266, 6663, 2935, 34444, 1542, 1279, 1748, 16654, 1643, 26, 1055, 32, 643, 1026, 5899, 261, 1650, 32, 2592, 1026, 5899, 261, 2935, 81, 466, 30, 5899, 261, 1650, 32, 1160, 1157, 284, 813, 44, 291, 442, 3778, 67, 1243, 1284, 12477, 5790, 2717, 1542, 1279, 1748, 16654, 1643, 26, 1055, 32, 1160, 1157, 203, 589, 617, 99, 1493, 88, 505, 13707, 3207, 99, 1493, 88, 711, 284, 442, 313, 67, 48944, 15266, 12797, 2296, 1643, 26, 99, 1493, 88, 32, 106, 1026, 2678, 1493, 88, 32, 107, 1157, 203, 589, 2443, 81, 12561, 81, 13707, 101, 2262, 284, 1910, 1547, 3667, 13707, 505, 280, 617, 99, 770, 505, 13707, 505, 284, 1910, 4852, 3667, 13707, 505, 280, 617, 99, 6665, 505, 13707, 505, 284, 1910, 1097, 5374, 3667, 13707, 505, 280, 617, 99, 1094, 8319, 505, 13707, 505, 284, 1910, 1243, 1284, 3667, 13707, 505, 280, 617, 99, 1160, 1055, 505, 13707, 505, 284, 1910, 48944, 3667, 13707, 505, 280, 617, 99, 1493, 88, 505, 13707, 505, 203, 589, 2443, 81, 15267, 101, 2262, 284, 2443, 81, 12561, 81, 13707, 101, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 8, 8, 7, 8, 7, 5, 8, 7, 8, 7, 5, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 8, 7, 8, 7, 5, 8, 7, 8, 7, 2, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 8, 7, 8, 7, 5, 5, 7, 8, 7, 5, 5, 7, 8, 7, 5, 5, 7, 8, 7, 5, 5, 7, 8, 7, 5, 5, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 7, 7, 6, 7, 6, 2, 2, 3, 7, 7, 7, 7, 7, 7, 6, 5, 7, 7, 8, 7, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 12, 11, 10, 11, 10, 5, 5, 6, 6, 6, 10, 10, 9, 9, 13, 12, 11, 13, 13, 14, 13, 4, 4, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 10, 9, 10, 9, 7, 7, 7, 9, 10, 9, 7, 7, 7, 8, 8, 7, 7, 7, 7, 9, 10, 9, 3, 3, 4, 4, 4, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 11, 10, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 7, 7, 7, 7, 7, 6, 5, 8, 8, 8, 7, 8, 7, 5, 8, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 6, 5, 6, 6, 4, 4, 5, 5, 5, 5, 5, 2, 2, 6, 5, 6, 6, 4, 4, 5, 5, 5, 5, 5, 2, 2, 6, 6, 5, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 6, 6, 5, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 6, 5, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 9, 9, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 0, 2, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 10, 10, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 11, 11, 1, 1, 1, 1, 1, 2, 11, 11, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 12, 12, 1, 1, 1, 2, 12, 12, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 1070, 35094, 1188, 11665, 203, 465, 6436, 203, 1070, 3619, 545, 88, 1188, 485, 452, 30, 309, 2161, 30, 5034, 30, 296, 1871, 203, 1070, 3619, 545, 88, 32, 6053, 545, 88, 1188, 537, 937, 81, 85, 350, 2161, 203, 18861, 280, 485, 452, 32, 63, 2634, 346, 203, 18861, 32, 10529, 280, 225, 34, 203, 18861, 32, 4149, 280, 428, 284, 2107, 58, 370, 308, 225, 39, 4317, 31, 35, 32, 264, 1717, 225, 35, 32, 261, 829, 614, 284, 2107, 58, 370, 308, 225, 34, 4317, 31, 39, 32, 264, 1717, 31, 36, 32, 261, 829, 614, 284, 2107, 58, 370, 308, 225, 38, 4317, 31, 34, 32, 39, 261, 1717, 31, 37, 32, 261, 829, 614, 284, 2107, 58, 370, 308, 225, 34, 4317, 31, 38, 32, 39, 261, 1717, 31, 35, 32, 261, 829, 614, 284, 2107, 58, 370, 308, 225, 37, 4317, 31, 34, 32, 39, 261, 1717, 31, 34, 32, 261, 829, 614, 284, 2107, 58, 370, 308, 225, 34, 4317, 31, 37, 32, 264, 1717, 31, 35, 32, 261, 829, 614, 284, 2107, 58, 370, 308, 225, 36, 4317, 31, 36, 32, 39, 261, 1717, 225, 34, 32, 261, 829, 614, 284, 2107, 58, 370, 308, 225, 35, 4317, 225, 35, 32, 264, 1717, 225, 37, 32, 261, 829, 614, 203, 79, 203, 18861, 32, 21830, 280, 330, 15504, 31, 37, 89, 25, 203, 18861, 32, 1832, 346, 203, 10576, 280, 309, 2161, 32, 68, 22883, 26, 18861, 27, 203, 10576, 32, 1449, 81, 12917, 280, 225, 37, 203, 10576, 32, 6474, 346, 203, 6053, 280, 537, 937, 81, 85, 350, 2161, 32, 37264, 2117, 56, 26, 10576, 30, 225, 38, 30, 225, 38, 27, 203, 6053, 32, 3499, 297, 4425, 280, 296, 1871, 32, 7224, 81, 12868, 35, 32, 56, 4246, 26, 18861, 27, 203, 6053, 32, 6474, 346, 203, 589, 28921, 2459, 2262, 284, 3649, 20358, 30, 32064, 30, 16561, 284, 3555, 20358, 30, 32064, 30, 16561, 203, 823, 32926, 3354, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 2518, 81, 89, 81, 18994, 26, 784, 711, 291, 6436, 32, 3855, 32, 7389, 26, 35, 27, 291, 7562, 280, 6436, 32, 3855, 32, 3855, 26, 10576, 32, 775, 81, 19679, 32, 3229, 27, 291, 13915, 34, 280, 6436, 32, 3855, 32, 3855, 1162, 40, 30, 40, 490, 291, 13915, 34, 44603, 6436, 32, 20973, 32, 7927, 26, 1871, 34, 27, 291, 485, 464, 30, 485, 520, 30, 23592, 30, 420, 13006, 280, 537, 937, 81, 85, 350, 2161, 32, 2518, 81, 89, 81, 18994, 26, 6053, 30, 7562, 30, 13915, 34, 30, 16561, 32, 3355, 36, 775, 26, 775, 490, 291, 630, 32, 47628, 26, 1356, 32, 88, 10118, 26, 89, 464, 471, 225, 36, 35, 32, 36, 42, 42, 34, 36, 36, 39, 36, 39, 35, 38, 42, 39, 43, 39, 30, 225, 42, 27, 291, 630, 32, 47628, 26, 1356, 32, 88, 10118, 26, 90, 13006, 471, 429, 38, 32, 40, 42, 40, 38, 40, 38, 34, 35, 37, 36, 37, 41, 38, 40, 35, 42, 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, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 2, 2, 5, 4, 5, 5, 4, 0, 4, 3, 4, 2, 2, 3, 0, 4, 3, 4, 2, 2, 3, 3, 6, 6, 4, 5, 6, 6, 6, 7, 7, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 6, 6, 4, 5, 6, 6, 6, 7, 7, 5, 5, 6, 7, 7, 5, 5, 4, 3, 3, 6, 6, 4, 5, 6, 6, 6, 7, 7, 7, 5, 5, 6, 7, 7, 5, 5, 4, 3, 3, 6, 6, 4, 5, 6, 6, 6, 7, 7, 7, 5, 5, 6, 7, 7, 5, 5, 4, 3, 3, 6, 6, 4, 5, 6, 6, 6, 7, 7, 7, 5, 5, 6, 7, 7, 5, 5, 4, 3, 3, 6, 6, 4, 5, 6, 6, 6, 7, 7, 5, 5, 6, 7, 7, 5, 5, 4, 3, 3, 6, 6, 4, 5, 6, 6, 6, 7, 7, 7, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 6, 6, 4, 5, 6, 6, 5, 6, 6, 5, 5, 5, 6, 6, 5, 5, 4, 3, 3, 0, 4, 3, 4, 2, 2, 4, 4, 4, 4, 4, 0, 4, 3, 4, 3, 0, 3, 2, 2, 5, 4, 5, 5, 4, 5, 4, 0, 4, 3, 4, 4, 4, 2, 2, 3, 0, 4, 3, 4, 3, 0, 3, 2, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 4, 0, 4, 3, 4, 4, 4, 2, 2, 6, 5, 6, 6, 6, 6, 4, 5, 5, 4, 5, 4, 0, 4, 3, 4, 3, 0, 1, 1, 2, 2, 1, 1, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 11, 10, 11, 11, 11, 9, 10, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 9, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 8, 4, 4, 8, 7, 7, 8, 7, 7, 7, 7, 8, 6, 6, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 4, 4, 7, 8, 7, 10, 9, 10, 10, 9, 10, 10, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 9, 10, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 5, 5, 3, 3, 1, 2, 2, 1, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 5, 1, 1, 3, 3, 3, 2, 2, 1, 2, 5, 3, 1, 1, 3, 1, 1, 1, 3, 3, 5, 1, 1, 3, 3, 5, 2, 2, 1, 2, 7, 3, 1, 1, 3, 1, 1, 1, 3, 3, 5, 1, 1, 3, 3, 7, 2, 2, 1, 2, 9, 3, 1, 1, 3, 1, 1, 1, 3, 3, 5, 1, 1, 3, 3, 9, 2, 2, 1, 2, 11, 3, 1, 1, 3, 1, 1, 3, 3, 5, 1, 1, 3, 3, 11, 2, 2, 1, 2, 13, 3, 1, 1, 3, 1, 1, 1, 3, 3, 3, 5, 5, 3, 3, 13, 2, 2, 1, 2, 15, 3, 1, 1, 3, 3, 3, 3, 3, 3, 5, 5, 3, 3, 15, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 16, 16, 1, 2, 16, 16, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 17, 17, 1, 2, 0, 1, 2, 2, 17, 17, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 4395, 203, 465, 13092, 203, 1070, 296, 39, 32, 7380, 639, 1188, 13136, 4058, 203, 1070, 296, 39, 32, 7380, 639, 32, 6546, 32, 1040, 32, 371, 81, 1409, 47105, 1188, 1390, 81, 2555, 47105, 203, 50, 12408, 32, 12940, 203, 589, 18883, 936, 2555, 47105, 2262, 284, 11152, 81, 3731, 280, 4395, 32, 20229, 3660, 346, 284, 11152, 81, 371, 81, 1409, 47105, 280, 1390, 81, 2555, 47105, 26, 9539, 81, 3731, 27, 284, 442, 11152, 81, 371, 81, 1409, 47105, 203, 50, 12408, 32, 12940, 203, 589, 18883, 91, 2422, 26, 9539, 295, 388, 1198, 2848, 711, 284, 11272, 280, 13136, 4058, 463, 2035, 370, 330, 9539, 81, 2300, 370, 330, 9539, 81, 2300, 683, 284, 4395, 81, 2848, 280, 4395, 32, 20229, 3660, 346, 284, 4395, 81, 2848, 32, 1526, 32, 601, 81, 853, 32, 1260, 32, 601, 81, 853, 280, 2149, 284, 11272, 1114, 2859, 81, 605, 710, 295, 100, 81, 2848, 785, 280, 4395, 81, 2848, 284, 442, 11272, 32, 6546, 32, 1040, 32, 371, 81, 1409, 47105, 203, 823, 2108, 936, 2555, 47105, 2019, 26, 1473, 711, 284, 665, 894, 81, 2501, 81, 371, 81, 1409, 47105, 26, 784, 30, 18883, 91, 2422, 711, 291, 18883, 91, 2422, 32, 2493, 81, 3515, 463, 1945, 370, 4527, 5276, 3080, 1057, 31, 84, 14539, 31, 678, 683, 291, 3523, 280, 18883, 91, 2422, 1114, 2859, 81, 605, 710, 7380, 639, 785, 1114, 2859, 81, 605, 710, 295, 100, 81, 2848, 785, 291, 1201, 3523, 32, 1526, 32, 1851, 81, 1132, 610, 4395, 32, 1851, 26, 324, 330, 641, 555, 2035, 44, 38, 38, 37, 33, 20898, 33, 6546, 33, 1040, 33, 371, 31, 1409, 47105, 13093, 324, 2361, 12516, 1040, 5276, 3080, 950, 6470, 84, 14539, 31, 678, 370, 330, 2501, 950, 330, 1945, 6040, 291, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 3, 2, 2, 6, 6, 5, 5, 7, 8, 8, 7, 3, 3, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 7, 8, 8, 8, 7, 3, 3, 4, 5, 5, 5, 5, 5, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 2, 5, 5, 7, 7, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 3, 3, 6, 6, 5, 5, 7, 8, 8, 7, 3, 3, 10, 10, 9, 10, 8, 9, 9, 9, 7, 8, 6, 7, 7, 7, 5, 5, 3, 3, 7, 8, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 6, 6, 3, 3, 4, 7, 8, 6, 7, 5, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 11, 11, 10, 11, 11, 11, 9, 11, 11, 11, 8, 9, 9, 9, 7, 9, 9, 9, 9, 9, 4, 4, 5, 8, 9, 7, 8, 8, 8, 6, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 1, 6, 1, 8, 8, 8, 8, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 5, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 4, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 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 ]
[ 465, 2322, 32, 983, 203, 1070, 5592, 32, 4722, 32, 887, 314, 418, 1188, 3185, 203, 2833, 81, 1515, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 225, 203, 916, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 2833, 81, 1515, 1947, 12467, 32, 916, 683, 225, 203, 452, 1729, 81, 2388, 81, 2808, 81, 983, 280, 330, 8937, 101, 25, 203, 452, 1729, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 2833, 81, 1515, 30, 452, 1729, 81, 2388, 81, 2808, 81, 983, 27, 225, 203, 823, 81, 426, 280, 330, 2172, 81, 3242, 25, 203, 589, 4450, 81, 9865, 81, 452, 1729, 26, 916, 81, 983, 30, 452, 1729, 81, 983, 711, 284, 3051, 280, 3185, 26, 916, 81, 983, 27, 284, 3345, 81, 5525, 1166, 81, 5459, 26, 2388, 30, 1815, 27, 3701, 456, 297, 280, 3051, 32, 21967, 463, 374, 683, 284, 436, 1024, 328, 456, 297, 44, 203, 202, 1964, 280, 1024, 32, 28925, 77, 34, 79, 203, 202, 325, 26, 1964, 32, 32358, 610, 39009, 32, 14365, 81, 9179, 461, 39009, 32, 1696, 558, 610, 313, 83, 10280, 3269, 804, 280, 39009, 32, 5843, 1365, 6928, 6494, 853, 77, 35, 10056, 3269, 1459, 4145, 338, 443, 32702, 823, 81, 426, 6897, 13469, 474, 1024, 81, 9579, 31884, 26, 2388, 30, 374, 27, 474, 1024, 32, 452, 2593, 346, 474, 9398, 338, 6457, 203, 589, 1024, 81, 9579, 31884, 26, 2388, 30, 374, 711, 284, 1056, 280, 4247, 284, 1459, 330, 9179, 3491, 96, 78, 96, 25, 474, 1024, 32, 452, 2593, 346, 474, 3228, 96, 78, 96, 25, 284, 1024, 32, 28925, 77, 34, 79, 284, 8194, 280, 1024, 32, 18738, 284, 2218, 26, 1206, 8194, 438, 3051, 711, 203, 202, 374, 280, 8194, 32, 18738, 203, 202, 1267, 1454, 1024, 32, 28925, 77, 34, 997, 452, 2593, 346, 1659, 202, 338, 280, 1024, 32, 18738, 284, 442, 1056, 203, 589, 3345, 81, 5525, 1166, 81, 5459, 26, 1251, 30, 33599, 47, 2700, 711, 284, 3345, 81, 668, 280, 1605, 284, 436, 2838, 328, 1541, 32, 28925, 44, 291, 415, 2838, 32, 32358, 610, 2838, 32, 6016, 81, 9179, 461, 766, 2607, 646, 2838, 32, 605, 32, 7201, 2262, 324, 3345, 81, 668, 32, 1689, 26, 2661, 27, 291, 4348, 2838, 32, 2040, 2931, 5909, 2262, 324, 3345, 81, 5525, 1166, 81, 5459, 26, 2661, 30, 33599, 27, 284, 436, 1541, 328, 3345, 81, 668, 44, 291, 1541, 32, 18738, 32, 28878, 26, 1251, 27, 291, 415, 33599, 44, 324, 1541, 32, 23754, 346, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 4450, 81, 9865, 81, 452, 1729, 26, 916, 81, 983, 30, 452, 1729, 81, 983, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 6, 6, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 6, 5, 6, 5, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 2, 2, 3, 3, 3, 4, 3, 3, 3, 7, 6, 6, 8, 9, 7, 8, 7, 4, 4, 5, 6, 10, 9, 10, 8, 8, 9, 10, 10, 10, 7, 7, 9, 10, 10, 8, 8, 10, 10, 5, 5, 8, 8, 12, 13, 11, 13, 13, 11, 9, 11, 10, 6, 6, 7, 14, 14, 14, 13, 13, 13, 11, 13, 10, 10, 12, 12, 12, 12, 13, 12, 13, 12, 9, 9, 11, 12, 12, 11, 8, 8, 10, 10, 0, 1, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 7, 7, 8, 8, 8, 7, 5, 5, 7, 8, 8, 7, 4, 4, 7, 7, 7, 6, 2, 2, 5, 6, 4, 5, 4, 2, 2, 4, 4, 5, 6, 2, 2, 4, 5, 5, 6, 6, 4, 3, 3, 7, 6, 6, 7, 8, 4, 4, 7, 6, 6, 10, 11, 9, 10, 9, 9, 9, 8, 4, 4, 7, 6, 6, 7, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 3, 3, 4, 5, 3, 3, 3, 5, 8, 9, 7, 7, 8, 9, 9, 9, 6, 6, 7, 6, 7, 10, 11, 9, 10, 9, 5, 5, 10, 10, 9, 10, 9, 10, 9, 5, 5, 6, 8, 9, 9, 9, 8, 6, 6, 10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 5, 5, 5, 9, 10, 9, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 3, 3, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 3, 3, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 3, 2, 8, 8, 0, 0, 4, 4, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 4, 4, 0, 2, 0, 2, 0, 4, 4, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 3, 3, 0, 0, 0, 2, 2, 4, 4, 5, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 9, 9, 0, 0, 0, 0, 4, 4, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 3, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 4, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 3, 3, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 0, 2, 1, 0, 10, 10, 0, 0, 1, 1, 1, 1, 10, 10, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 7976, 81, 465, 30, 20654, 203, 1070, 7062, 32, 26354, 1188, 319, 203, 1070, 7062, 1188, 6216, 81, 5248, 203, 9138, 81, 5248, 32, 3789, 81, 17030, 346, 203, 465, 3738, 203, 465, 7062, 32, 2304, 203, 1070, 3619, 16667, 1188, 4262, 619, 323, 978, 203, 465, 20358, 7177, 619, 345, 2632, 203, 1070, 20358, 7177, 1188, 8745, 203, 1070, 638, 1188, 3488, 30, 1420, 81, 3245, 203, 1070, 4377, 8774, 1188, 2503, 81, 751, 203, 823, 32081, 4672, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 12870, 30, 353, 2503, 47, 1815, 30, 353, 3992, 426, 47, 2521, 30, 353, 18613, 703, 47, 2700, 30, 353, 438, 81, 512, 840, 47, 2700, 30, 353, 23637, 81, 8046, 47, 2700, 711, 291, 630, 32, 4652, 280, 12870, 291, 630, 32, 2751, 280, 2503, 291, 630, 32, 101, 1494, 703, 280, 18613, 703, 291, 630, 32, 3245, 426, 280, 3992, 426, 291, 630, 32, 297, 81, 512, 840, 280, 438, 81, 512, 840, 291, 630, 32, 20307, 81, 8046, 280, 23637, 81, 8046, 284, 665, 1156, 1851, 3207, 784, 30, 3420, 711, 291, 645, 638, 7924, 1188, 622, 81, 893, 81, 983, 291, 1201, 20695, 26, 1298, 27, 291, 415, 630, 32, 3245, 426, 438, 1665, 44, 324, 630, 32, 3245, 426, 280, 3420, 3667, 426, 505, 291, 1201, 3420, 3667, 426, 505, 863, 330, 5098, 25, 16189, 477, 2304, 32, 1132, 81, 1070, 26, 1298, 30, 656, 33845, 47, 1815, 30, 656, 12202, 81, 5321, 12516, 1684, 950, 2933, 1748, 291, 665, 7767, 2740, 1132, 30, 1115, 5321, 711, 324, 296, 280, 3420, 23688, 4465, 280, 10306, 32, 371, 463, 1684, 370, 2933, 27, 324, 415, 4465, 461, 646, 630, 32, 4652, 32, 5538, 81, 7001, 44, 400, 442, 296, 2740, 1132, 30, 1115, 5321, 27, 324, 415, 630, 32, 297, 81, 512, 840, 44, 400, 296, 30, 2181, 280, 617, 2539, 81, 2386, 81, 1959, 26, 88, 30, 2181, 27, 324, 4262, 81, 1851, 280, 323, 978, 32, 8312, 1853, 26, 88, 30, 319, 1132, 30, 1115, 5321, 27, 324, 6863, 280, 8745, 32, 325, 81, 1206, 81, 4108, 26, 784, 32, 4652, 32, 3483, 30, 345, 2632, 32, 7924, 32, 371, 81, 3483, 1157, 324, 3992, 280, 323, 978, 32, 8312, 3782, 26, 3483, 47, 3483, 30, 1378, 1778, 47, 784, 32, 4652, 32, 371, 81, 4205, 81, 893, 81, 983, 1026, 1378, 2016, 47, 2958, 81, 1851, 30, 1378, 636, 47, 784, 32, 3245, 426, 30, 1378, 18613, 703, 47, 784, 32, 101, 1494, 703, 30, 1378, 23804, 1057, 2958, 370, 261, 1378, 23637, 81, 6365, 47, 784, 32, 20307, 81, 8046, 30, 1378, 6465, 47, 2700, 27, 324, 442, 1420, 81, 3245, 26, 3245, 30, 4465, 47, 1684, 30, 617, 601, 81, 1267, 47, 1815, 27, 291, 7767, 3667, 426, 505, 280, 3420, 3667, 426, 505, 291, 7767, 3667, 21111, 505, 280, 3420, 291, 442, 7767, 203, 589, 617, 2539, 81, 2386, 81, 1959, 26, 88, 30, 2181, 711, 284, 2771, 81, 784, 280, 2181, 77, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 4, 4, 4, 3, 4, 4, 4, 3, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 3, 1, 1, 2, 2, 3, 0, 1, 1, 4, 2, 2, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 5, 5, 7, 7, 7, 7, 4, 4, 5, 7, 8, 7, 4, 4, 5, 7, 8, 8, 6, 6, 5, 5, 5, 9, 10, 10, 8, 8, 9, 10, 10, 4, 4, 5, 7, 8, 8, 6, 6, 8, 8, 4, 4, 9, 8, 9, 9, 9, 8, 9, 8, 8, 8, 9, 10, 8, 8, 8, 10, 10, 9, 13, 13, 11, 10, 5, 5, 6, 7, 9, 7, 7, 9, 7, 6, 6, 9, 9, 7, 7, 9, 9, 11, 12, 11, 13, 13, 11, 11, 7, 7, 8, 9, 9, 10, 12, 13, 11, 12, 12, 12, 8, 8, 8, 10, 12, 14, 12, 12, 14, 12, 7, 7, 8, 9, 10, 10, 10, 10, 8, 8, 8, 12, 12, 11, 11, 13, 13, 13, 13, 13, 13, 14, 13, 13, 13, 7, 7, 10, 10, 9, 9, 12, 11, 12, 12, 11, 12, 11, 11, 13, 11, 11, 13, 11, 7, 7, 9, 9, 11, 12, 12, 12, 12, 12, 11, 14, 13, 14, 12, 13, 11, 11, 15, 14, 15, 13, 14, 14, 14, 13, 7, 7, 9, 9, 12, 11, 12, 12, 11, 13, 12, 13, 11, 11, 11, 12, 16, 15, 16, 14, 15, 15, 15, 15, 15, 15, 15, 14, 11, 11, 12, 13, 13, 13, 11, 11, 11, 12, 14, 13, 14, 14, 11, 11, 11, 13, 12, 14, 13, 14, 14, 14, 11, 11, 11, 12, 14, 14, 11, 11, 11, 13, 13, 12, 14, 13, 14, 14, 14, 11, 11, 11, 12, 13, 11, 7, 7, 8, 10, 10, 10, 11, 10, 10, 11, 12, 10, 10, 12, 12, 12, 11, 12, 10, 4, 4, 7, 8, 8, 6, 6, 7, 8, 8, 4, 4, 7, 8, 8, 6, 6, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 5, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 4, 4, 0, 5, 5, 1, 2, 0, 6, 6, 0, 6, 6, 3, 3, 2, 0, 7, 7, 0, 1, 1, 2, 0, 8, 8, 0, 8, 8, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 10, 10, 0, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 7, 2, 2, 2, 2, 0, 9, 2, 2, 2, 2, 0, 0, 0, 11, 2, 2, 2, 2, 0, 0, 13, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 4, 4, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 3, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 1, 2, 1, 2, 4, 4, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 7, 0, 2, 2, 2, 1, 1, 1, 0, 9, 0, 2, 2, 2, 2, 1, 1, 1, 11, 1, 2, 1, 1, 1, 0, 0, 13, 0, 2, 2, 2, 2, 1, 1, 1, 15, 2, 1, 4, 4, 7, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 0, 5, 2, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 7, 0, 12, 12, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 0, 0, 0, 2, 2 ]
[ 1070, 663, 21217, 4100, 1188, 1884, 21217, 4100, 203, 465, 6234, 203, 823, 2108, 828, 21217, 4100, 1486, 2262, 284, 665, 14553, 26, 784, 711, 291, 14453, 81, 2027, 280, 330, 35, 43, 36, 32, 35, 40, 42, 32, 34, 32, 40, 25, 291, 14453, 81, 3624, 280, 225, 39, 34, 34, 39, 291, 630, 32, 101, 280, 6234, 32, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 291, 630, 32, 101, 32, 3517, 1162, 12364, 81, 2027, 30, 14453, 81, 3624, 490, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 101, 32, 2679, 346, 284, 665, 894, 81, 21332, 26, 784, 711, 291, 630, 32, 1873, 346, 291, 630, 32, 990, 346, 291, 630, 32, 4048, 81, 15668, 346, 291, 630, 32, 417, 346, 291, 630, 32, 1746, 346, 291, 630, 32, 4048, 346, 284, 665, 2841, 26, 784, 711, 291, 9914, 280, 1524, 291, 301, 324, 313, 95, 20, 499, 313, 63, 35, 392, 324, 313, 83, 20, 499, 313, 1775, 392, 324, 313, 98, 20, 499, 301, 400, 313, 98, 35, 426, 20, 499, 313, 98, 35, 392, 400, 313, 98, 36, 426, 563, 225, 39, 324, 320, 291, 320, 291, 1524, 291, 1201, 630, 3667, 2714, 26, 8366, 27, 284, 665, 2091, 26, 784, 711, 291, 9914, 280, 1524, 291, 301, 324, 313, 95, 20, 499, 313, 63, 35, 392, 324, 313, 83, 20, 499, 313, 591, 392, 324, 313, 98, 20, 499, 301, 400, 313, 98, 35, 426, 20, 499, 313, 98, 35, 20, 324, 320, 291, 320, 291, 1524, 291, 1201, 630, 3667, 2714, 26, 8366, 27, 284, 665, 973, 26, 784, 711, 291, 9914, 280, 1524, 291, 301, 324, 313, 95, 20, 499, 313, 63, 36, 392, 324, 313, 83, 20, 499, 313, 8947, 392, 324, 313, 98, 20, 499, 301, 400, 313, 98, 35, 426, 20, 499, 313, 98, 35, 392, 400, 313, 98, 36, 426, 20, 499, 313, 98, 36, 20, 324, 320, 291, 320, 291, 1524, 291, 1201, 630, 3667, 2714, 26, 8366, 27, 284, 665, 2835, 26, 784, 711, 291, 9914, 280, 1524, 291, 301, 324, 313, 95, 20, 499, 313, 63, 36, 392, 324, 313, 83, 20, 499, 313, 8495, 20, 291, 320, 291, 1524, 291, 1201, 630, 3667, 2714, 26, 8366, 27, 284, 665, 4719, 26, 784, 711, 291, 9914, 280, 1524, 291, 301, 324, 313, 95, 20, 499, 313, 63, 35, 392, 324, 313, 83, 20, 499, 313, 4048, 392, 324, 313, 98, 20, 499, 301, 400, 313, 98, 35, 426, 20, 499, 313, 4048, 20, 324, 320, 291, 320, 291, 1524, 291, 1201, 630, 3667, 2714, 26, 8366, 27, 284, 665, 4719, 81, 15668, 26, 784, 711, 291, 9914, 280, 1524, 291, 301, 324, 313, 95, 20, 499, 313, 63, 36, 392, 324, 313, 83, 20, 499, 313, 4048, 392, 324, 313, 98, 20, 499, 301, 400, 313, 98, 35, 426, 20, 499, 313, 4048, 81, 15668, 20, 324, 320, 291, 320, 291, 1524, 291, 1201, 630, 3667, 2714, 26, 8366, 27, 284, 665, 1156, 2714, 26, 784, 30, 706 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 8, 8, 9, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 4, 4, 6, 2, 1, 2, 6, 6, 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, 4, 4, 1, 0, 2, 1, 1, 1, 4, 4, 7, 2, 1, 2, 7, 7, 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, 4, 4, 1, 0, 2, 1, 1, 1, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 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, 4, 4, 1, 0, 2, 1, 1, 1, 4, 4, 9, 1, 2, 1, 2, 2 ]
[ 1070, 20717, 1188, 20642, 3103, 2281, 203, 465, 1360, 203, 465, 2322, 203, 465, 11014, 203, 465, 996, 23239, 32, 6114, 203, 465, 996, 23239, 32, 14806, 203, 1070, 42898, 32, 1237, 32, 104, 36, 1188, 5414, 203, 1070, 42898, 32, 2282, 1188, 12388, 203, 1070, 42898, 32, 2282, 1188, 14735, 203, 465, 42898, 32, 9081, 203, 1070, 42898, 32, 4018, 1188, 24300, 378, 1572, 203, 1070, 42898, 32, 26878, 32, 2282, 1188, 8444, 203, 1070, 42898, 32, 26878, 32, 2282, 1188, 1245, 619, 5741, 203, 1070, 42898, 1188, 341, 25673, 203, 3602, 280, 5741, 32, 10579, 463, 39940, 32, 1237, 32, 9081, 683, 203, 823, 11028, 3041, 26, 1473, 711, 284, 1156, 2559, 32095, 505, 280, 20642, 3103, 2281, 284, 477, 17614, 284, 665, 1156, 39288, 7133, 3207, 6933, 30, 11595, 711, 291, 436, 1411, 328, 9011, 3667, 9436, 9147, 26927, 324, 415, 1346, 26, 1959, 328, 1695, 3667, 2665, 505, 436, 1695, 328, 11595, 3667, 95, 290, 505, 711, 400, 4036, 324, 442, 15670, 291, 442, 2933, 203, 823, 15363, 4327, 26, 1473, 711, 284, 665, 622, 81, 426, 26, 784, 711, 291, 3636, 22210, 346, 284, 665, 622, 81, 7909, 26, 784, 711, 291, 3636, 22210, 346, 284, 665, 622, 81, 2310, 26, 784, 711, 291, 3636, 22210, 346, 284, 665, 622, 81, 2011, 26, 784, 711, 291, 3636, 22210, 346, 284, 665, 622, 81, 6368, 26, 784, 711, 291, 3636, 22210, 346, 284, 665, 622, 81, 5379, 26, 784, 711, 291, 6086, 280, 1605, 291, 442, 6086, 284, 665, 622, 81, 3543, 26, 784, 711, 291, 6885, 280, 1605, 291, 442, 6885, 284, 665, 622, 81, 1357, 81, 9081, 26, 784, 711, 291, 1326, 81, 407, 101, 280, 1605, 291, 442, 1326, 81, 407, 101, 284, 665, 622, 81, 17042, 81, 5379, 26, 784, 30, 1503, 711, 291, 442, 2149, 284, 665, 622, 81, 2796, 81, 3337, 26, 784, 711, 291, 442, 1665, 203, 823, 5245, 4814, 1917, 26, 46674, 32, 1917, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3022, 711, 291, 630, 32, 3164, 280, 3022, 291, 630, 32, 1141, 81, 14458, 280, 2149, 284, 665, 1015, 81, 1141, 26, 784, 30, 2125, 81, 426, 30, 4899, 711, 291, 630, 32, 1141, 81, 14458, 77, 1141, 81, 426, 79, 280, 4899, 284, 665, 2125, 26, 784, 30, 1326, 30, 804, 711, 291, 1509, 81, 2665, 280, 630, 1114, 17012, 26, 1357, 32, 1548, 30, 10000, 1326, 32, 371, 81, 1286, 81, 681, 1157, 291, 436, 2125, 81, 426, 30, 4899, 328, 630, 32, 1141, 81, 14458, 32, 40957, 2262, 324, 415, 2125, 81, 426, 328, 1509, 81, 2665, 44, 400, 442, 4899, 26, 1131, 81, 2665, 30, 1326, 30, 804, 27, 291, 1789, 280, 630, 32, 3164, 291, 442, 1789, 203, 823, 4448, 4814, 1917, 26, 46674, 32, 1917, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3022, 711, 291, 630, 32, 3164, 280, 3022, 291, 630, 32, 14458, 280, 1605, 284, 665, 1015, 81, 4531, 26, 784, 30, 4899, 711, 291, 630, 32, 14458, 32, 1689, 26, 4531, 27, 284, 665, 2164, 26, 784, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 6, 6, 7, 8, 8, 8, 6, 6, 8, 10, 12, 11, 11, 12, 13, 13, 10, 11, 11, 11, 12, 13, 13, 13, 10, 8, 8, 7, 7, 8, 5, 5, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 4, 4, 5, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 7, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 10, 9, 10, 8, 8, 8, 10, 11, 11, 11, 11, 11, 10, 4, 4, 5, 7, 7, 6, 6, 5, 5, 8, 9, 9, 9, 7, 8, 7, 5, 5, 7, 9, 9, 8, 8, 9, 9, 7, 7, 7, 9, 11, 12, 12, 12, 11, 11, 11, 11, 11, 4, 4, 6, 6, 7, 8, 4, 4, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 1, 2, 0, 5, 5, 0, 1, 2, 0, 6, 6, 1, 2, 1, 4, 4, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 0, 10, 10, 1, 2, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 3, 3, 0, 13, 13, 13, 13, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 15, 15, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 3, 2, 2, 2, 1, 0, 0, 5, 5, 1, 4, 4, 1, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 4, 4, 1, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 4, 4, 1, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 4, 4, 8, 1, 1, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 4, 4, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 17, 17, 1, 1, 2, 0, 1, 2, 2, 17, 17, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 4, 4, 3, 0, 18, 18, 1, 1, 2, 0, 1, 2, 2, 18, 18, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 2, 1, 2 ]
[ 465, 1695, 40, 38, 203, 465, 316, 203, 1070, 13568, 604, 1188, 4125, 30, 3829, 30, 4549, 30, 617, 203, 1070, 13568, 604, 32, 11452, 1188, 2680, 924, 30, 40075, 203, 11988, 81, 6896, 81, 4613, 280, 2107, 11988, 370, 330, 30973, 81, 60, 718, 1296, 81, 8265, 3551, 61, 2123, 370, 330, 14426, 81, 29789, 10633, 39361, 370, 330, 2576, 22123, 81, 1852, 26419, 1263, 370, 330, 63, 39931, 81, 9607, 60, 7409, 370, 330, 5794, 58, 1413, 81, 9607, 60, 7409, 370, 330, 70, 5289, 57, 726, 81, 1852, 26419, 1263, 370, 330, 13407, 16019, 370, 330, 1827, 1400, 370, 330, 726, 2210, 722, 81, 6169, 35716, 1893, 370, 330, 60, 14793, 10978, 81, 54, 5475, 370, 330, 60, 14793, 10978, 81, 5475, 64, 370, 330, 60, 14793, 10978, 81, 5475, 64, 12026, 370, 330, 779, 81, 61, 1218, 527, 5289, 927, 81, 46204, 6794, 58, 927, 370, 330, 14426, 81, 71, 5289, 81, 63, 15626, 51, 370, 330, 71, 5289, 81, 63, 15626, 51, 81, 54, 5475, 370, 330, 71, 5289, 81, 63, 15626, 51, 81, 5475, 64, 370, 330, 71, 5289, 81, 63, 15626, 51, 81, 5475, 64, 12026, 370, 330, 18807, 718, 2123, 785, 203, 11704, 81, 6896, 81, 4613, 280, 2107, 11704, 370, 330, 13407, 16019, 370, 330, 1827, 1400, 370, 330, 60, 726, 927, 370, 330, 52, 1305, 61, 370, 330, 2576, 22123, 370, 330, 4460, 370, 330, 15690, 370, 330, 2223, 19091, 48673, 370, 330, 61, 2146, 1263, 10978, 927, 370, 330, 61, 1319, 2418, 722, 718, 370, 330, 2383, 9759, 2123, 370, 330, 27966, 852, 81, 8346, 370, 330, 2576, 22123, 81, 48583, 66, 567, 785, 203, 2109, 81, 6896, 81, 4613, 280, 2107, 2109, 370, 330, 27966, 852, 81, 13289, 19057, 370, 330, 1827, 1400, 370, 330, 58, 5425, 51, 81, 29173, 71, 927, 370, 330, 60, 14793, 10978, 81, 13496, 5289, 370, 330, 58, 5425, 51, 81, 22814, 370, 330, 33806, 567, 370, 330, 54, 5475, 370, 330, 5475, 64, 370, 330, 70, 783, 2952, 81, 5475, 64, 12026, 370, 330, 5475, 64, 12026, 785, 203, 589, 617, 4700, 81, 643, 26, 605, 30, 19713, 12483, 370, 15358, 19069, 7831, 284, 442, 15358, 474, 308, 7345, 474, 19713, 474, 15358, 547, 2524, 2009, 466, 26, 106, 547, 3227, 26, 7345, 30, 17276, 25, 474, 15358, 27, 436, 816, 328, 706, 1130, 474, 15358, 474, 3228, 96, 25, 203, 823, 9035, 5775, 26, 3378, 32, 1243, 711, 284, 617, 6815, 280, 313, 3524, 32, 1500, 20, 284, 456, 35, 34, 96, 81, 314, 81, 9078, 81, 2171, 280, 3829, 32, 2659, 26, 800, 347, 12508, 5104, 392, 1933, 47, 2700, 27, 284, 456, 35, 34, 96, 81, 314, 81, 3227, 81, 10969, 81, 314, 280, 3829, 32, 7434, 36, 658, 463, 3524, 32, 1500, 370, 802, 347, 9388, 32731, 392, 225, 5880, 347, 710, 18194, 15441, 370, 15441, 370, 2726, 1293, 370, 16509, 330, 40815, 1425, 2726, 15699, 81, 314, 370, 16509, 25253, 81, 314, 471, 2726, 268, 16292, 81, 1500, 81, 314, 370, 330, 6901, 370, 3177, 471, 2726, 1293, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 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, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 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, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 5, 2, 3, 5, 1, 1, 3, 6, 6, 12, 11, 11, 10, 10, 9, 9, 8, 13, 13, 14, 13, 12, 11, 12, 11, 11, 14, 12, 12, 11, 9, 10, 10, 10, 9, 5, 5, 4, 4, 7, 6, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 6, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 8, 8, 1, 2, 0, 1, 2, 2, 8, 8, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 49093, 1188, 2155, 203, 1070, 49093, 1188, 1300, 203, 465, 3619, 10185, 203, 465, 7138, 203, 465, 14461, 619, 6216, 1356, 81, 10542, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 4262, 81, 36, 81, 9941, 81, 14600, 203, 1070, 8527, 32, 2387, 32, 1536, 9211, 1188, 2340, 619, 2340, 81, 2029, 203, 1070, 8527, 32, 2304, 32, 4419, 1188, 624, 22990, 39532, 30, 624, 22990, 39532, 81, 1319, 4758, 203, 1070, 10098, 32, 2957, 32, 3550, 1188, 42576, 81, 27965, 10330, 81, 43803, 1263, 613, 6905, 940, 203, 1070, 10098, 32, 3378, 1188, 34570, 15032, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 44673, 81, 4243, 280, 1605, 203, 44673, 81, 24312, 101, 280, 1605, 203, 325, 4070, 32, 16838, 81, 14318, 81, 2109, 81, 39636, 610, 225, 35, 44, 284, 436, 595, 328, 2155, 26, 41, 711, 291, 8209, 3368, 81, 4243, 32, 1689, 26, 39636, 39532, 77, 91, 1130, 291, 8209, 3368, 81, 24312, 101, 32, 1689, 26, 39636, 39532, 81, 1319, 4758, 77, 91, 1130, 203, 1824, 44, 284, 8209, 3368, 81, 4243, 32, 1689, 26, 39636, 39532, 77, 40, 1130, 284, 8209, 3368, 81, 24312, 101, 32, 1689, 26, 39636, 39532, 81, 1319, 4758, 77, 40, 1130, 284, 436, 595, 328, 2155, 26, 40, 711, 291, 8209, 3368, 81, 4243, 32, 1689, 26, 39636, 39532, 77, 91, 1130, 291, 8209, 3368, 81, 24312, 101, 32, 1689, 26, 39636, 39532, 81, 1319, 4758, 77, 91, 1130, 203, 823, 24156, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5216, 30, 1477, 30, 943, 30, 2935, 81, 3351, 13835, 81, 19389, 24435, 47, 2521, 30, 353, 35361, 81, 5178, 47, 2521, 30, 25932, 1338, 47, 978, 10185, 32, 16700, 711, 291, 630, 32, 16700, 81, 1366, 280, 630, 1114, 12944, 81, 18218, 81, 452, 81, 16700, 26, 1366, 30, 25932, 1338, 27, 291, 630, 32, 16700, 81, 416, 280, 630, 1114, 12944, 81, 18218, 81, 452, 81, 16700, 26, 416, 30, 25932, 1338, 27, 291, 630, 32, 5057, 280, 5216, 291, 630, 32, 10185, 1338, 280, 630, 1114, 371, 81, 10185, 1338, 26, 10185, 1338, 27, 291, 630, 32, 19389, 15032, 81, 5178, 280, 35361, 81, 5178, 291, 415, 2935, 81, 3351, 13835, 81, 19389, 24435, 438, 646, 1665, 44, 324, 630, 1114, 3351, 13835, 81, 19389, 24435, 280, 2935, 81, 3351, 13835, 81, 19389, 24435, 284, 665, 617, 12944, 81, 18218, 81, 452, 81, 16700, 26, 784, 30, 2260, 81, 266, 81, 1003, 30, 25932, 1338, 711, 291, 415, 2260, 81, 266, 81, 1003, 32, 10185, 1338, 438, 646, 1665, 44, 324, 442, 2260, 81, 266, 81, 1003, 32, 633, 512, 5634, 26, 978, 10185, 32, 16700, 27, 291, 415, 25932, 1338, 438, 646, 1665, 44, 324, 442, 25932, 1338, 32, 40224, 26, 1493, 81, 266, 81, 1003, 547, 633, 512, 5634, 26, 978, 10185, 32, 16700, 27, 291, 415, 4070, 32, 4855, 81, 19508, 44, 324, 442, 3619, 10185, 32, 16700, 32, 40224, 26, 1493, 81, 266, 81, 1003 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 1, 1, 1, 3, 3, 3, 5, 6, 5, 3, 3, 8, 8, 8, 7, 8, 7, 9, 9, 8, 9, 8, 4, 4, 8, 8, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 8, 1, 2, 2, 2, 2, 7, 7, 7, 6, 7, 6, 8, 8, 7, 8, 7, 3, 3, 7, 7, 7, 7, 6, 7, 6, 8, 8, 8, 8, 8, 7, 8, 7, 3, 3, 4, 4, 4, 6, 7, 6, 4, 4, 9, 9, 9, 8, 9, 8, 10, 10, 9, 10, 9, 5, 5, 9, 9, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 9, 10, 9, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 7, 7, 6, 7, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 9, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 5, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 7, 8, 8, 6, 6, 6, 5, 5, 5, 7, 10, 10, 10, 10, 9, 10, 10, 10, 9, 11, 11, 10, 11, 9, 4, 4, 5, 7, 6, 6, 6, 5, 5, 5, 7, 12, 11, 12, 11, 12, 12, 12, 12, 12, 11, 10, 10, 10, 9, 11, 11, 10, 11, 9, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 7, 11, 10, 11, 9, 10, 9, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 1, 1, 2, 2, 2, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 4, 8, 8, 3, 3, 2, 2, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 1, 2, 11, 11, 0, 0, 12, 12, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 15, 15, 15, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 15, 4, 4, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 16, 16, 2, 1, 2, 16, 16, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 9, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 13, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 5, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 14208, 38, 1188, 39231, 203, 1070, 638, 6172, 81, 5740, 1188, 319, 203, 589, 622, 81, 28693, 81, 916, 26, 983, 81, 452, 81, 916, 1057, 28693, 32, 916, 7831, 284, 313, 3255, 322, 4159, 645, 322, 26914, 803, 20, 284, 4159, 280, 1665, 284, 623, 2156, 26, 983, 81, 452, 81, 916, 30, 330, 100, 683, 619, 26914, 81, 761, 44, 291, 4159, 280, 26914, 81, 761, 32, 850, 346, 284, 442, 4159, 203, 589, 622, 81, 90, 36, 101, 81, 16737, 26, 916, 711, 284, 313, 601, 312, 1149, 432, 1169, 322, 1650, 432, 677, 36, 328, 322, 2702, 4159, 20, 284, 1188, 316, 284, 11187, 280, 428, 2872, 32, 1366, 346, 436, 2530, 328, 316, 32, 1809, 1731, 26, 268, 32, 11731, 10385, 90, 36, 48, 1425, 4159, 2177, 284, 442, 11187, 203, 589, 622, 81, 90, 37, 101, 81, 16737, 26, 916, 711, 284, 313, 601, 312, 1149, 432, 1169, 322, 1650, 432, 677, 37, 328, 322, 2702, 4159, 20, 284, 1188, 316, 284, 11187, 280, 428, 2872, 32, 1366, 346, 436, 2530, 328, 316, 32, 1809, 1731, 26, 268, 32, 11731, 10385, 90, 37, 48, 1425, 4159, 2177, 284, 442, 11187, 203, 589, 6042, 81, 26017, 81, 1363, 81, 916, 26, 916, 711, 284, 8436, 81, 916, 280, 39231, 26, 916, 27, 284, 420, 36, 280, 8436, 81, 916, 32, 1809, 463, 90, 36, 683, 284, 442, 330, 52, 332, 31, 37481, 97, 25, 328, 420, 36, 32, 371, 81, 878, 346, 203, 589, 622, 81, 468, 24712, 81, 6332, 81, 916, 26, 916, 711, 284, 313, 3255, 312, 1149, 432, 802, 688, 4042, 2504, 48223, 2350, 432, 458, 4159, 20, 284, 420, 36, 101, 81, 18713, 280, 622, 81, 90, 36, 101, 81, 16737, 26, 916, 27, 284, 48223, 81, 6332, 280, 1605, 284, 2401, 81, 90, 36, 81, 1055, 280, 420, 36, 101, 81, 18713, 77, 34, 79, 284, 436, 420, 36, 81, 1055, 328, 420, 36, 101, 81, 18713, 77, 35, 44, 2786, 291, 19509, 81, 1363, 81, 916, 280, 4159, 77, 2135, 81, 90, 36, 81, 1055, 44, 90, 36, 81, 1055, 79, 291, 415, 26, 4635, 81, 26017, 81, 1363, 81, 916, 26, 26017, 81, 1363, 81, 916, 8531, 324, 48223, 81, 6332, 32, 1689, 26, 26017, 81, 1363, 81, 916, 27, 291, 2401, 81, 90, 36, 81, 1055, 280, 420, 36, 81, 1055, 284, 19509, 81, 1363, 81, 916, 280, 4159, 77, 2135, 81, 90, 36, 81, 1055, 10056, 284, 415, 26, 4635, 81, 26017, 81, 1363, 81, 916, 26, 26017, 81, 1363, 81, 916, 8531, 291, 48223, 81, 6332, 32, 1689, 26, 26017, 81, 1363, 81, 916, 27, 284, 442, 48223, 81, 6332, 203, 589, 622, 81, 468, 24712, 81, 916, 26, 916, 711, 284, 313, 3255, 312, 1149, 432, 802, 688, 4042, 2504, 19509, 432, 458, 4159, 20, 284, 420, 37, 101, 81, 18713, 280, 622, 81, 90, 37, 101, 81, 16737, 26, 916, 27, 284, 48223, 280, 1605, 284, 2401, 81, 90, 37, 81, 1055, 280, 420, 37 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 2, 2, 3, 8, 9, 9, 9, 9, 9, 8, 8, 10, 10, 6, 6, 8, 8, 3, 3, 3, 6, 6, 9, 9, 8, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 2, 2, 4, 4, 8, 7, 8, 7, 5, 6, 6, 6, 8, 9, 9, 8, 11, 10, 11, 10, 12, 12, 12, 12, 8, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 2, 2, 4, 4, 8, 7, 8, 7, 5, 6, 6, 6, 8, 9, 9, 8, 11, 10, 11, 10, 12, 12, 12, 12, 8, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 2, 2, 3, 6, 6, 6, 6, 6, 6, 4, 4, 7, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 5, 6, 5, 2, 2, 3, 4, 4, 4, 3, 3, 5, 5, 5, 5, 4, 6, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 7, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 8, 5, 5, 10, 10, 9, 10, 9, 10, 10, 10, 10, 10, 9, 4, 4, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 5, 7, 7, 7, 7, 7, 7, 6, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 3, 3, 8, 8, 7, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 3, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 4, 4, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 4, 4, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 0, 3, 0, 2, 3, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 0, 8, 8, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3324, 1438, 2893, 280, 330, 225, 330, 203, 823, 14685, 265, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 4446, 280, 2107, 785, 291, 630, 32, 9378, 81, 2649, 280, 225, 34, 284, 665, 4166, 81, 468, 26, 784, 30, 3051, 711, 291, 630, 32, 4446, 280, 2107, 785, 291, 630, 32, 9378, 81, 2649, 280, 225, 34, 291, 630, 1114, 1297, 81, 1251, 26, 2388, 27, 291, 442, 3228, 96, 2473, 2524, 26, 784, 32, 4446, 27, 284, 665, 617, 1216, 81, 928, 26, 784, 30, 1344, 711, 291, 630, 32, 4446, 32, 1689, 26, 784, 32, 9378, 81, 2649, 319, 20928, 1438, 2893, 474, 1344, 27, 284, 665, 617, 1216, 26, 784, 30, 1344, 711, 291, 630, 32, 4446, 6448, 35, 79, 280, 630, 32, 4446, 6448, 35, 79, 474, 1344, 284, 665, 617, 1216, 81, 890, 81, 928, 26, 784, 30, 10525, 81, 2342, 47, 34, 711, 291, 630, 32, 9378, 81, 2649, 1454, 10525, 81, 2342, 291, 630, 32, 4446, 32, 1689, 26, 784, 32, 9378, 81, 2649, 319, 20928, 1438, 2893, 27, 284, 665, 617, 1297, 81, 9387, 81, 1251, 26, 784, 30, 1541, 711, 291, 630, 1114, 1216, 28302, 683, 291, 630, 1114, 1216, 81, 890, 81, 928, 26, 35, 27, 291, 415, 1541, 32, 681, 438, 646, 1665, 44, 324, 630, 1114, 1216, 463, 2319, 280, 10698, 681, 6553, 2473, 1643, 26, 681, 47, 1251, 32, 681, 32, 853, 490, 324, 630, 1114, 1216, 81, 890, 81, 928, 346, 291, 436, 2838, 328, 1541, 32, 4915, 44, 324, 630, 1114, 1216, 26, 2661, 32, 678, 32, 853, 474, 330, 280, 11134, 324, 630, 1114, 1297, 81, 1251, 26, 2661, 27, 324, 630, 1114, 1216, 35052, 324, 630, 1114, 1216, 81, 890, 81, 928, 346, 291, 630, 32, 4446, 32, 3235, 346, 16189, 630, 32, 4446, 6448, 35, 79, 280, 630, 32, 4446, 6448, 35, 1674, 5979, 35, 79, 16189, 630, 1114, 1216, 81, 890, 81, 928, 3736, 35, 27, 291, 630, 1114, 1216, 463, 15837, 284, 665, 617, 1297, 81, 1251, 26, 784, 30, 1541, 711, 291, 415, 1541, 32, 612, 438, 646, 1665, 44, 324, 1519, 280, 1541, 32, 612, 32, 11148, 81, 983, 324, 630, 1114, 1297, 81, 3576, 26, 983, 27, 291, 813, 44, 324, 415, 1541, 32, 19373, 610, 1541, 32, 14634, 32, 9387, 44, 400, 630, 1114, 1297, 81, 9387, 81, 1251, 26, 1251, 27, 324, 4348, 1541, 32, 19373, 610, 1541, 32, 14634, 32, 13049, 44, 400, 630, 1114, 1297, 81, 13049, 81, 1251, 26, 1251, 27, 324, 4348, 1541, 32, 19373, 610, 1541, 32, 14634, 32, 7508, 44, 400, 630, 1114, 1297, 81, 7508, 81, 1251, 26, 1251, 27, 284, 665, 617, 1297, 81, 13049, 81, 1251, 26, 784, 30, 1541, 711, 291, 415, 6937, 26, 1251, 32, 853, 30, 1560, 711, 324, 630, 1114, 1216, 463, 1508, 25, 415, 1541, 32, 853, 813, 330, 1870, 683, 291, 4348, 6937, 26, 1251, 32, 853, 30, 629, 711, 324, 630, 1114, 1216, 26, 466, 26, 1251, 32, 853, 490, 291, 4348, 6937, 26, 1251, 32, 853 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 5, 10, 9, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 11, 10, 11, 11, 11, 9, 9, 10, 10, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 9, 7, 6, 6, 9, 10, 8, 10, 8, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 8, 9, 7, 8, 7, 10, 9, 10, 10, 10, 8, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 9, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 5, 9, 10, 9, 13, 13, 13, 13, 13, 13, 12, 11, 13, 12, 15, 14, 15, 13, 14, 11, 6, 6, 9, 10, 10, 10, 10, 10, 9, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 9, 10, 9, 13, 12, 13, 11, 12, 10, 10, 12, 12, 6, 6, 9, 10, 10, 10, 9, 10, 9, 6, 6, 9, 10, 9, 6, 6, 9, 10, 10, 10, 10, 10, 9, 4, 4, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 9, 7, 6, 6, 9, 10, 8, 10, 8, 8, 10, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 7, 4, 4, 7, 8, 7, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 6, 5, 5, 5, 8, 8, 10, 11, 9, 10, 10, 10, 6, 6, 9, 10, 10, 10, 9, 10, 9, 5, 5, 6, 6, 6, 8, 10, 11, 9, 9, 11, 12, 10, 11, 8, 8, 8, 12, 13, 13, 13, 13, 13, 12, 13, 12, 8, 8, 9, 11, 12, 10, 10, 12, 13, 11, 12, 9, 9, 9, 13, 14, 14, 14, 14, 14, 13, 14, 13, 8, 8, 9, 11, 12, 10, 10, 12, 13, 11, 12, 9, 9, 9, 13, 14, 14, 14, 14, 14, 13, 14, 13, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 8, 9, 7, 7, 7, 5, 5, 9, 10, 9, 12, 12, 10, 10, 11, 12, 10, 10, 12, 12, 5, 5, 6, 8, 10, 9, 10, 8, 8, 8, 6, 6, 10, 11, 10, 12, 12, 14, 13, 14, 12, 5, 5, 6, 8, 10, 9, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 3, 0, 2, 2, 1, 0, 1, 2, 1, 3, 3, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 3, 3, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 3, 3, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 3, 3, 5, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 2, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 5, 5, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 5, 5, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 3, 3, 6, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 4, 0, 2, 1, 1, 0, 2, 2, 2, 4, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 0, 2, 1, 1, 0, 2, 2, 2, 5, 5, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 7, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 4, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 5, 1, 0, 1, 2 ]
[ 7321, 2347, 81, 24276, 81, 9193, 81, 66, 1614, 521, 1757, 280, 225, 40, 203, 7321, 2347, 81, 14378, 81, 13693, 81, 66, 1614, 521, 1757, 280, 225, 35, 39, 203, 7321, 2347, 81, 24276, 81, 13693, 81, 66, 1614, 521, 1757, 280, 225, 35, 39, 203, 7321, 2347, 81, 13693, 81, 23813, 81, 66, 1614, 521, 1757, 280, 225, 35, 34, 203, 7321, 2347, 81, 32026, 81, 9572, 81, 16819, 81, 14931, 280, 2933, 203, 7321, 2347, 81, 5807, 81, 13693, 45025, 81, 6229, 13946, 280, 3177, 203, 7321, 2347, 81, 11356, 81, 3705, 81, 27852, 280, 330, 13512, 32, 28771, 32, 890, 81, 1436, 81, 40815, 81, 16097, 25, 203, 7321, 2347, 81, 17945, 81, 19602, 527, 280, 1665, 203, 9551, 11483, 81, 28141, 81, 13387, 81, 24222, 280, 301, 284, 330, 13512, 950, 109, 291, 330, 4332, 81, 2111, 81, 2649, 950, 225, 39, 30, 291, 330, 761, 81, 16294, 81, 6565, 950, 3177, 30, 291, 330, 1294, 81, 6565, 950, 3177, 30, 291, 330, 36080, 81, 6365, 950, 330, 5540, 34657, 370, 291, 330, 1409, 288, 778, 81, 37749, 950, 3177, 30, 284, 801, 203, 111, 203, 7321, 2347, 81, 6016, 81, 6447, 81, 39044, 81, 4065, 280, 1665, 225, 203, 7321, 2347, 81, 6016, 81, 5915, 7267, 81, 39044, 81, 4065, 280, 1665, 225, 203, 7321, 2347, 81, 6016, 81, 12213, 2418, 81, 23390, 81, 17143, 280, 1665, 225, 203, 7321, 2347, 81, 6016, 81, 6447, 81, 4624, 81, 17143, 280, 1665, 225, 203, 7321, 2347, 81, 37381, 81, 8401, 7863, 81, 17143, 280, 1665, 225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 1, 1, 1, 2, 7, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 48885, 39, 1188, 10701, 2852, 30, 34031, 30, 22066, 203, 823, 27178, 81, 14793, 7314, 1250, 3728, 26, 1473, 711, 284, 665, 4705, 10816, 26, 784, 30, 632, 1679, 7314, 1250, 3728, 711, 291, 632, 1679, 7314, 1250, 3728, 32, 23725, 440, 14793, 7314, 1250, 3728, 657, 291, 632, 1679, 7314, 1250, 3728, 32, 8510, 26, 37, 35, 38, 30, 225, 35, 34, 37, 27, 291, 632, 1679, 7314, 1250, 3728, 32, 29596, 57, 4461, 3990, 26, 1815, 27, 291, 630, 32, 3365, 3086, 280, 22066, 32, 67, 48587, 26, 14793, 7314, 1250, 3728, 27, 291, 630, 32, 3365, 3086, 32, 23725, 440, 3365, 3086, 657, 291, 630, 32, 1640, 1705, 280, 22066, 32, 67, 3728, 1714, 1705, 26, 14793, 7314, 1250, 3728, 27, 291, 630, 32, 1640, 1705, 32, 470, 13980, 26, 30609, 32, 9071, 32, 11381, 27, 291, 630, 32, 1640, 1705, 32, 470, 8090, 11556, 26, 47935, 32, 67, 3728, 1714, 1705, 32, 7028, 110, 47935, 32, 67, 3728, 1714, 1705, 32, 7558, 27, 291, 630, 32, 1640, 1705, 32, 23725, 440, 1640, 1705, 657, 291, 630, 32, 3365, 3086, 32, 21857, 26, 784, 32, 1640, 1705, 30, 225, 36, 30, 225, 34, 30, 225, 35, 30, 225, 36, 27, 291, 630, 32, 878, 2168, 36, 280, 22066, 32, 2150, 814, 26, 14793, 7314, 1250, 3728, 27, 291, 630, 32, 878, 2168, 36, 32, 23725, 440, 878, 2168, 36, 657, 291, 630, 32, 3365, 3086, 32, 21857, 26, 784, 32, 878, 2168, 36, 30, 225, 35, 30, 225, 34, 30, 225, 35, 30, 225, 35, 27, 291, 630, 32, 878, 2168, 35, 280, 22066, 32, 2150, 814, 26, 14793, 7314, 1250, 3728, 27, 291, 630, 32, 878, 2168, 35, 32, 23725, 440, 878, 2168, 35, 657, 291, 630, 32, 3365, 3086, 32, 21857, 26, 784, 32, 878, 2168, 35, 30, 225, 34, 30, 225, 34, 30, 225, 35, 30, 225, 35, 27, 291, 630, 32, 2273, 20837, 1705, 280, 22066, 32, 67, 20837, 1705, 26, 14793, 7314, 1250, 3728, 27, 291, 630, 32, 2273, 20837, 1705, 32, 36566, 26, 35, 34, 34, 27, 291, 630, 32, 2273, 20837, 1705, 32, 34698, 26, 35, 34, 34, 34, 34, 34, 27, 291, 630, 32, 2273, 20837, 1705, 32, 23725, 440, 2273, 20837, 1705, 657, 291, 630, 32, 3365, 3086, 32, 21857, 26, 784, 32, 2273, 20837, 1705, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 27, 291, 630, 32, 1644, 20837, 1705, 280, 22066, 32, 67, 20837, 1705, 26, 14793, 7314, 1250, 3728, 27, 291, 630, 32, 1644, 20837, 1705, 32, 36566, 26, 35, 34, 34, 27, 291, 630, 32, 1644, 20837, 1705, 32, 34698, 26, 35, 34, 34, 34, 34, 34, 27, 291, 630, 32, 1644, 20837, 1705, 32, 23725, 440, 1644, 20837, 1705, 657, 291, 630, 32, 3365, 3086, 32, 21857, 26, 784, 32, 1644, 20837, 1705, 30, 225, 34, 30, 225, 35, 30, 225, 35, 30, 225, 35, 27, 291, 630, 32, 268, 7393, 10816, 26, 14793, 7314, 1250, 3728, 27, 291, 630, 32, 1640, 1705, 32, 27190, 32, 3517, 26, 14793, 7314 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 8, 8, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 4, 4, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 8, 8, 8, 8, 7, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 8, 9, 9, 7, 8, 8, 7, 10, 9, 10, 8, 9, 7, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 11, 10, 11, 11, 11, 11, 9, 10, 8, 11, 10, 11, 11, 11, 11, 9, 10, 7, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 8, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 8, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 8, 7, 4, 4, 9, 10, 10, 8, 9, 7, 8, 7, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0 ]
[ 1070, 32625, 32, 4266, 1188, 32625, 858, 203, 1070, 32625, 32, 4266, 1188, 3395, 1191, 203, 1070, 1532, 325, 32, 4266, 32, 34078, 81, 266, 81, 2455, 81, 2111, 32, 2958, 1188, 26322, 81, 1439, 203, 1070, 1532, 325, 32, 4266, 32, 34078, 81, 266, 81, 2455, 81, 2111, 32, 2958, 1188, 26322, 81, 34078, 203, 1070, 1532, 325, 32, 4266, 32, 34078, 81, 266, 81, 2455, 81, 2111, 32, 2958, 1188, 7176, 81, 5665, 81, 18020, 203, 1070, 1532, 325, 32, 4266, 32, 34078, 81, 266, 81, 2455, 81, 2111, 32, 2958, 1188, 3501, 81, 34078, 203, 1270, 44, 334, 645, 1532, 325, 32, 4266, 32, 34078, 81, 266, 81, 2455, 81, 2111, 32, 2958, 1188, 26322, 81, 1439, 81, 978, 2539, 35, 35, 334, 645, 1532, 325, 32, 4266, 32, 34078, 81, 266, 81, 2455, 81, 2111, 32, 2958, 1188, 26322, 81, 34078, 81, 978, 2539, 35, 35, 334, 645, 1532, 325, 32, 4266, 32, 34078, 81, 266, 81, 2455, 81, 2111, 32, 2958, 1188, 7176, 81, 5665, 81, 18020, 81, 978, 2539, 35, 35, 334, 645, 1532, 325, 32, 4266, 32, 34078, 81, 266, 81, 2455, 81, 2111, 32, 2958, 1188, 3501, 81, 34078, 81, 978, 2539, 35, 35, 203, 7343, 29986, 44, 334, 26322, 81, 1439, 81, 978, 2539, 35, 35, 280, 1665, 334, 26322, 81, 34078, 81, 978, 2539, 35, 35, 280, 1665, 334, 7176, 81, 5665, 81, 18020, 81, 978, 2539, 35, 35, 280, 1665, 334, 3501, 81, 34078, 81, 978, 2539, 35, 35, 280, 1665, 203, 1725, 3412, 1713, 81, 6177, 81, 13073, 81, 2788, 81, 6383, 280, 225, 43, 34, 35, 38, 40, 38, 37, 42, 203, 1725, 3412, 1713, 81, 4989, 37566, 81, 13073, 81, 2788, 81, 6383, 280, 225, 37, 35, 40, 34, 41, 43, 41, 42, 203, 36555, 81, 4989, 37566, 81, 13073, 81, 2788, 81, 6383, 280, 225, 36, 43, 42, 39, 36, 38, 39, 36, 203, 823, 45183, 1006, 26, 5609, 1191, 32, 7233, 711, 334, 477, 17614, 334, 665, 14553, 1339, 26, 6933, 711, 284, 2599, 922, 23741, 1339, 346, 284, 9011, 32, 48126, 81, 1439, 280, 26322, 81, 1439, 284, 9011, 32, 48126, 81, 34078, 280, 26322, 81, 34078, 284, 9011, 32, 4190, 81, 5665, 81, 18020, 280, 7176, 81, 5665, 81, 18020, 334, 665, 894, 1761, 2185, 21868, 26, 784, 711, 284, 281, 864, 280, 630, 32, 48126, 81, 1439, 32, 33609, 1761, 2766, 346, 284, 630, 32, 5299, 26, 40738, 32, 936, 1026, 2198, 3412, 1713, 81, 6177, 81, 13073, 81, 2788, 81, 6383, 27, 284, 281, 286, 280, 630, 32, 48126, 81, 34078, 32, 33609, 21868, 2766, 346, 284, 630, 32, 5299, 26, 31246, 32, 936, 1026, 2198, 3412, 1713, 81, 4989, 37566, 81, 13073, 81, 2788, 81, 6383, 27, 284, 630, 32, 5299, 26, 291, 281, 286, 32, 1761, 936, 26, 40738, 471, 291, 2198, 3412, 1713, 81, 6177, 81, 13073, 81, 2788, 81, 6383, 474, 2198, 3412, 1713, 81, 4989, 37566, 81, 13073, 81, 2788, 81, 6383, 27, 284, 630, 32, 5299, 26, 291, 281, 286, 32, 1761, 936, 26, 31246, 471 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 10, 9, 9, 8, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 10, 9, 10, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 10, 9, 10, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 7, 7, 10, 9, 10, 10, 9, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 7, 7, 10, 9, 10, 10, 9, 10, 9 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 1, 6, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 1, 6, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 1, 6, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 1, 6, 5, 5, 0, 0, 0, 6, 6, 6, 6, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 1, 6, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 1, 6, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 3, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 1, 6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 6, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 10, 10, 1, 2, 0, 0, 1, 2, 2, 10, 10, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1 ]
[ 465, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 9042, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 669, 81, 2592, 463, 44418, 81, 12040, 370, 330, 1366, 81, 770, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 24174, 1536, 47, 6665, 32, 6665, 26, 36, 34, 35, 35, 30, 225, 35, 36, 30, 225, 35, 37, 30, 225, 35, 41, 30, 225, 40, 30, 225, 37, 41, 30, 225, 42, 37, 35, 38, 35, 42, 3662, 4986, 81, 1536, 47, 2700, 27, 291, 3082, 32, 669, 81, 2592, 463, 44418, 81, 12040, 370, 330, 416, 81, 770, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 24174, 1536, 47, 6665, 32, 6665, 26, 36, 34, 35, 36, 30, 225, 40, 30, 225, 35, 37, 30, 225, 35, 41, 30, 225, 40, 30, 225, 37, 41, 30, 225, 42, 37, 35, 38, 41, 41, 3662, 4986, 81, 1536, 47, 2700, 27, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 2592, 463, 44418, 81, 12040, 370, 330, 1366, 81, 770, 683, 291, 3082, 32, 2560, 81, 2592, 463, 44418, 81, 12040, 370, 330, 416, 81, 770, 683, 284, 4549, 280, 301, 291, 330, 2393, 32, 1363, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 1564, 8885, 324, 330, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 42, 34, 45306, 324, 330, 11893, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 46046, 1176, 370, 5518, 5053, 452, 950, 313, 494, 710, 2393, 32, 7040, 785, 392, 330, 7919, 46819, 1578, 950, 330, 2700, 370, 330, 5006, 950, 330, 1815, 18143, 291, 801, 291, 330, 2393, 32, 9198, 950, 301, 324, 330, 4232, 950, 5053, 24576, 950, 313, 463, 1286, 81, 681, 505, 725, 81, 1172, 370, 330, 1286, 81, 681, 505, 1160, 370, 330, 10762, 2004, 683, 392, 330, 5665, 81, 36202, 950, 11608, 463, 1286, 81, 681, 370, 330, 10762, 2004, 1425, 5715, 330, 1473, 81, 426, 950, 330, 7040, 8885, 324, 330, 10762, 2004, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 35, 34, 34, 45306, 324, 330, 1286, 81, 681, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 370, 5518, 5053, 452, 950, 313, 494, 710, 1286, 2516, 32, 14264, 785, 3612, 471, 324, 330, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 13, 12, 13, 12, 13, 13, 13, 13, 12, 12, 13, 13, 12, 12, 13, 13, 12, 12, 13, 13, 12, 12, 13, 12, 12, 13, 13, 12, 12, 13, 13, 13, 13, 13, 13, 12, 7, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 13, 12, 13, 12, 13, 13, 13, 13, 12, 12, 13, 12, 12, 13, 13, 12, 12, 13, 13, 12, 12, 13, 12, 12, 13, 13, 12, 12, 13, 13, 13, 13, 13, 13, 12, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 9, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 1, 1, 11, 11, 1, 1, 13, 13, 13, 13, 13, 13, 1, 1, 0, 0, 7, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 1, 1, 11, 11, 1, 1, 13, 13, 13, 13, 13, 13, 1, 1, 0, 0, 7, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 5, 1, 2, 5, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 7138, 203, 465, 22045, 36, 203, 465, 316, 203, 465, 2361, 203, 1070, 1695, 1188, 11028, 203, 2413, 280, 313, 525, 555, 1840, 4313, 32, 266, 1643, 1546, 32, 13394, 31, 1704, 364, 1054, 272, 32, 286, 33, 5728, 33, 1578, 33, 325, 266, 39785, 32, 1316, 20, 203, 14436, 81, 15689, 28664, 75, 23, 95, 23, 36893, 23, 58, 23, 63, 23, 15553, 20, 203, 14436, 81, 5241, 28664, 75, 23, 95, 23, 86, 20, 203, 4804, 81, 9640, 280, 7138, 32, 32888, 26, 14991, 47, 36, 27, 203, 823, 1670, 521, 39785, 26, 4152, 711, 284, 8912, 262, 280, 313, 2797, 59, 21538, 20, 284, 29480, 261, 280, 313, 93, 1030, 1384, 50, 1729, 32, 13394, 31, 1704, 364, 1054, 272, 32, 286, 20, 284, 20418, 225, 280, 308, 34, 30, 225, 34, 30, 225, 35, 27, 284, 21496, 54, 225, 280, 2933, 284, 37884, 66, 262, 280, 32493, 1037, 225, 9830, 322, 281, 513, 304, 415, 91, 14165, 20, 284, 46895, 13354, 69, 280, 1605, 284, 665, 1156, 1664, 3207, 291, 630, 30, 225, 4941, 2195, 30, 3320, 81, 1003, 47, 6665, 32, 32888, 26, 14991, 47, 35, 471, 291, 3995, 81, 1436, 6020, 2521, 30, 1665, 79, 284, 8063, 291, 11028, 3667, 1664, 3207, 784, 30, 225, 4941, 2195, 30, 3320, 81, 1003, 30, 3995, 81, 1436, 27, 284, 665, 544, 81, 7242, 2076, 26, 784, 30, 3124, 30, 319, 2132, 711, 291, 11028, 32, 267, 81, 7242, 2076, 26, 784, 30, 3124, 30, 319, 2132, 27, 291, 415, 646, 630, 32, 297, 81, 266, 81, 3237, 26, 2132, 77, 34, 10794, 324, 442, 291, 415, 3124, 610, 32493, 1037, 563, 324, 630, 32, 4941, 2195, 32, 4640, 81, 6416, 6301, 26, 14987, 347, 380, 21918, 4215, 657, 324, 17078, 81, 605, 30, 630, 32, 605, 280, 630, 32, 944, 81, 2613, 346, 324, 415, 17078, 81, 605, 44, 400, 630, 32, 605, 280, 630, 1114, 371, 81, 7880, 346, 400, 630, 32, 2853, 81, 2613, 26, 605, 47, 784, 32, 605, 27, 324, 813, 44, 400, 630, 32, 605, 280, 630, 32, 605, 32, 4434, 440, 3310, 31, 42, 657, 324, 1474, 280, 313, 1559, 1670, 59, 21538, 44, 5094, 78, 96, 20, 324, 415, 630, 32, 605, 44, 400, 1474, 1454, 630, 32, 605, 324, 813, 44, 400, 1474, 1454, 313, 13636, 884, 5927, 1289, 14165, 11555, 324, 630, 32, 4941, 2195, 32, 7242, 2076, 26, 2132, 77, 34, 614, 1474, 27, 324, 630, 32, 4941, 2195, 32, 4534, 81, 6416, 6301, 346, 284, 665, 617, 371, 81, 7880, 26, 784, 711, 291, 296, 261, 280, 22045, 36, 32, 305, 33786, 26, 2413, 27, 291, 225, 1316, 280, 296, 32, 850, 346, 291, 1024, 280, 1605, 291, 436, 736, 328, 316, 32, 6993, 26, 324, 540, 25, 12185, 44, 2478, 4920, 29548, 10228, 3285, 44, 2478, 4920, 370, 316, 32, 59, 110, 268, 32, 69, 291, 6804, 32852, 26, 1316, 711, 324, 1623, 280, 2149, 324, 436, 1628, 328, 736, 32, 2998, 5528, 96, 10280, 400, 415, 1628, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 5, 6, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 4, 6, 5, 5, 6, 5, 5, 6, 5, 2, 2, 5, 4, 4, 4, 2, 2, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 6, 6, 5, 8, 7, 8, 7, 9, 8, 9, 7, 4, 4, 6, 6, 5, 7, 6, 6, 6, 4, 4, 3, 3, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 8, 7, 8, 7, 7, 7, 7, 9, 7, 4, 4, 5, 6, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 9, 5, 5, 4, 4, 5, 6, 6, 8, 8, 5, 5, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 10, 12, 12, 12, 12, 6, 6, 10, 10, 9, 9, 10, 11, 8, 8, 10, 11, 11, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 10, 10, 12, 13, 13, 13, 12, 8, 8, 11, 12, 12, 12, 11, 13, 12, 14, 13, 14, 11, 7, 7, 8, 8, 8, 12, 13, 11, 11, 14, 15, 13, 14, 13, 15, 15, 15, 15, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 11, 11, 10, 6, 6, 7, 8, 9, 7, 7, 7, 10, 10, 11, 12, 7, 7, 8, 8, 8, 11, 11, 13, 13, 13, 13, 13, 13, 6, 6, 10, 11, 11, 9, 10, 10, 9, 11, 10, 11, 10, 9, 9, 6, 6, 10, 11, 11, 9, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 6, 9, 8, 9, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 9, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 12, 10, 12, 11, 12, 9, 9, 8, 7, 8, 7, 5, 5, 8, 8, 6, 6, 7, 7, 7, 9, 10, 9, 12, 11, 7, 7, 9, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 6, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 0, 0, 5, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 7, 1, 2, 2, 2, 2, 2, 6, 6, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 7, 7, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 3, 3, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 4, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 4, 1, 2, 4, 4, 4, 0, 0, 2, 2, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 0, 2, 2, 0, 2, 2, 2, 2, 1, 4, 4, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 4, 4, 3, 3, 3, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 3, 0, 2, 2, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 5, 5, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0 ]
[ 1070, 4354, 7427, 1188, 10701, 2852, 30, 34031, 203, 465, 309, 1323, 81, 899, 203, 823, 35478, 26, 37571, 32, 67, 21518, 711, 284, 6613, 1918, 280, 225, 35, 284, 3223, 720, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 11216, 47, 2521, 711, 291, 2599, 26, 21518, 30, 630, 14585, 1664, 16369, 291, 630, 32, 1664, 346, 291, 415, 11216, 44, 324, 630, 32, 944, 974, 26, 10447, 27, 291, 813, 44, 324, 630, 32, 28153, 974, 25416, 284, 665, 4230, 1151, 26, 784, 30, 1692, 711, 291, 415, 630, 32, 16877, 5126, 2262, 324, 630, 32, 1821, 2963, 346, 324, 1692, 32, 7494, 346, 291, 813, 44, 324, 1692, 32, 3617, 346, 284, 665, 537, 974, 26, 784, 711, 291, 1604, 280, 35478, 346, 291, 35478, 32, 3518, 720, 32, 1689, 26, 2455, 27, 291, 1604, 32, 1500, 26, 784, 32, 106, 346, 474, 225, 38, 34, 30, 630, 32, 107, 346, 474, 225, 38, 34, 27, 291, 1604, 32, 2245, 346, 284, 665, 2156, 26, 784, 711, 291, 11216, 30, 8626, 359, 280, 34031, 32, 67, 28084, 32, 371, 2961, 6777, 26, 784, 27, 291, 415, 11216, 44, 324, 4905, 280, 630, 32, 1809, 21518, 26, 10447, 27, 324, 415, 4905, 44, 400, 4905, 32, 2245, 346, 400, 4905, 32, 13225, 36455, 400, 4905, 32, 11432, 1669, 346, 400, 442, 324, 415, 630, 32, 297, 12663, 37272, 461, 630, 32, 878, 3579, 32, 2812, 922, 6393, 346, 461, 646, 630, 32, 297, 1669, 9850, 2262, 400, 630, 32, 944, 974, 26, 10447, 27, 324, 813, 44, 400, 1604, 280, 35478, 26, 10447, 27, 400, 415, 1604, 32, 297, 12663, 37272, 44, 528, 3555, 1604, 528, 442, 400, 35478, 32, 3518, 720, 32, 1689, 26, 2455, 27, 400, 1604, 32, 1500, 26, 784, 32, 106, 346, 474, 225, 38, 34, 30, 630, 32, 107, 346, 474, 225, 38, 34, 27, 400, 1604, 32, 2245, 346, 284, 665, 4131, 26, 784, 711, 291, 415, 630, 32, 297, 12663, 37272, 44, 324, 442, 630, 32, 2853, 1465, 346, 291, 813, 44, 324, 442, 630, 32, 2853, 974, 26, 784, 32, 1537, 974, 27, 284, 665, 4131, 1465, 26, 784, 711, 291, 11216, 30, 8626, 359, 280, 34031, 32, 67, 28084, 32, 371, 5126, 6777, 26, 784, 30, 313, 5126, 2894, 392, 400, 630, 32, 1537, 974, 27, 291, 415, 646, 11216, 44, 324, 442, 3177, 291, 442, 630, 32, 2853, 974, 26, 10447, 27, 284, 665, 2625, 26, 784, 711, 291, 34031, 32, 67, 22957, 32, 7468, 26, 784, 30, 313, 11936, 358, 1724, 392, 400, 313, 1318, 333, 84, 48, 69, 1724, 377, 84, 48, 2280, 35968, 2624, 372, 2866, 3982, 313, 400, 313, 2812, 2568, 9264, 1471, 10701, 7144, 284, 665, 1825, 22434, 9850, 26, 784, 711, 291, 630, 32, 18476, 9850, 26, 1815, 27, 284, 665, 3219, 26, 784, 711, 291, 630, 32, 10787, 26, 30609, 32, 9071, 32, 9625, 81, 3410, 1484, 4173, 27, 291, 630, 32, 297, 12663, 37272, 280, 2933, 291, 630, 32, 878, 3579, 280, 34031, 32, 67, 1031, 3579, 346, 291, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 2, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 5, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 9, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 7, 4, 4, 5, 5, 5, 5, 9, 10, 10, 9, 10, 9, 5, 5, 6, 6, 6, 10, 11, 11, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 7, 5, 5, 9, 10, 10, 9, 6, 6, 9, 10, 9, 5, 5, 6, 6, 6, 10, 11, 10, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 10, 8, 8, 9, 9, 7, 7, 10, 11, 10, 8, 8, 9, 9, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 8, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 7, 7, 7, 7, 11, 12, 11, 8, 8, 11, 12, 12, 8, 8, 11, 12, 12, 11, 8, 8, 6, 6, 7, 10, 11, 11, 11, 9, 9, 14, 15, 15, 13, 14, 13, 12, 11, 8, 8, 9, 11, 12, 12, 12, 11, 7, 7, 11, 12, 12, 11, 12, 11, 7, 7, 8, 8, 8, 11, 11, 13, 14, 13, 9, 9, 10, 11, 12, 12, 12, 10, 10, 10, 12, 11, 11, 9, 9, 13, 14, 14, 12, 13, 12, 13, 12, 9, 9, 12, 13, 12, 16, 15, 16, 15, 13, 13, 14, 14, 12, 12, 15, 16, 15, 13, 13, 14, 14, 12, 9, 9, 12, 13, 12, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 9, 10, 10, 9, 5, 5, 6, 6, 6, 8, 10, 11, 11, 10, 12, 11, 12, 12, 10, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 8, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 10, 8, 8, 9, 10, 10, 8, 4, 4, 5, 6, 5, 5, 5, 7, 4, 4, 5, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 9, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 4, 4, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 4, 4, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 2, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 4, 4, 4, 0, 2, 1, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 3, 3, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 2, 1, 3, 3, 0, 2, 2, 3, 3, 0, 2, 2, 1, 3, 3, 3, 3, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 3, 3, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 3, 3, 2, 2, 1, 2, 2, 0, 2, 1, 4, 4, 6, 2, 1, 2, 6, 6, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 7, 1, 2, 1, 2, 7, 7, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 2, 2, 1, 1, 1, 4, 4, 8, 2, 1, 2, 8, 8, 0, 2, 2, 0, 2, 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, 5, 5, 1, 1, 1, 1, 1, 1, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 0, 2, 2, 1, 1, 1, 4, 4, 10, 2, 1, 2, 10, 10, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 2613, 1188, 3320, 203, 1070, 37089, 1188, 23624, 924, 203, 1070, 37089, 81, 23349, 1188, 2761, 619, 2813, 81, 2029, 203, 1070, 26009, 3883, 32, 1286, 32, 9211, 1188, 23629, 332, 1625, 2348, 30, 5022, 2612, 12837, 25263, 203, 1070, 26009, 3883, 32, 1286, 32, 3378, 1188, 6256, 203, 1070, 26009, 3883, 32, 1286, 32, 1903, 1188, 46354, 81, 307, 203, 1070, 26009, 3883, 32, 15485, 32, 3378, 1188, 13630, 203, 1070, 26009, 3883, 32, 10097, 81, 14550, 32, 3378, 1188, 17981, 16435, 203, 1070, 638, 42722, 1188, 622, 81, 42722, 81, 3631, 30, 23068, 81, 1286, 203, 1070, 638, 101, 406, 483, 1188, 8819, 9490, 69, 46548, 203, 823, 26312, 720, 13976, 26, 1473, 711, 284, 665, 617, 371, 81, 20014, 81, 668, 81, 7895, 26, 784, 711, 291, 3276, 280, 630, 32, 462, 27589, 81, 10097, 81, 14550, 26, 419, 2612, 12837, 81, 2585, 47, 1815, 27, 291, 415, 3276, 44, 324, 442, 3276, 77, 34, 79, 291, 23068, 81, 3631, 280, 622, 81, 42722, 81, 3631, 346, 291, 415, 23068, 81, 3631, 461, 630, 32, 314, 328, 23068, 81, 3631, 44, 324, 442, 313, 42722, 20, 291, 3276, 280, 630, 32, 462, 27589, 81, 10097, 81, 14550, 346, 291, 415, 3276, 44, 324, 442, 3276, 77, 34, 79, 291, 1596, 44, 324, 3276, 280, 6256, 32, 1903, 81, 5740, 32, 1580, 32, 462, 27589, 26, 400, 1650, 47, 784, 32, 9387, 32, 1055, 30, 400, 3693, 81, 681, 47, 784, 32, 9387, 32, 1427, 81, 681, 30, 400, 804, 47, 784, 32, 314, 30, 400, 3361, 7814, 2029, 563, 2813, 81, 2029, 32, 5419, 2176, 314, 347, 1906, 1895, 452, 81, 2665, 9741, 324, 829, 291, 2940, 23624, 924, 44, 324, 3276, 280, 3447, 2999, 563, 225, 34, 111, 291, 415, 3276, 1365, 2999, 1446, 848, 225, 34, 44, 324, 436, 1056, 328, 3276, 1365, 8933, 18270, 400, 415, 646, 1056, 1365, 81, 314, 6494, 20643, 440, 2521, 10280, 528, 442, 1056, 1365, 81, 314, 1446, 291, 442, 313, 18622, 20, 284, 665, 6042, 81, 1217, 26, 784, 30, 2467, 711, 291, 415, 2467, 438, 1665, 44, 324, 442, 2467, 291, 2467, 280, 630, 32, 1877, 81, 20014, 81, 668, 26, 1217, 27, 291, 442, 2467, 284, 665, 622, 81, 28610, 81, 33915, 81, 1217, 26, 784, 30, 28008, 81, 1217, 47, 2521, 711, 291, 28008, 81, 1217, 280, 630, 32, 4635, 81, 1217, 26, 33915, 81, 1217, 27, 291, 415, 646, 28008, 81, 1217, 44, 324, 28008, 81, 1217, 280, 630, 32, 4635, 81, 1217, 26, 1777, 32, 1903, 81, 5740, 32, 419, 2612, 12837, 1157, 291, 415, 646, 28008, 81, 1217, 44, 324, 9175, 81, 668, 81, 1163, 280, 18623, 26, 3550, 30, 313, 4409, 1392, 81, 4613, 81, 6191, 392, 12797, 324, 26247, 81, 3237, 81, 3631, 280, 9175, 81, 668, 81, 1163, 32, 371, 440, 35364, 81, 3237, 81, 3631, 392, 11544, 324, 28008, 81, 1217, 280, 630, 32, 4635, 81, 1217, 26, 1777, 32, 1903, 81, 5740, 32, 4340, 6555, 81, 5000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 9, 10, 8, 4, 4, 5, 5, 5, 5, 7, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 4, 4, 5, 7, 7, 6, 6, 8, 9, 7, 7, 8, 8, 5, 5, 5, 7, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 5, 5, 5, 5, 7, 8, 9, 8, 4, 4, 5, 5, 5, 8, 8, 12, 13, 13, 13, 11, 12, 10, 11, 11, 10, 10, 10, 11, 14, 13, 14, 12, 13, 10, 10, 10, 12, 12, 11, 14, 13, 14, 12, 13, 13, 13, 10, 10, 10, 11, 13, 12, 13, 10, 10, 10, 11, 15, 15, 13, 18, 18, 17, 18, 17, 19, 18, 20, 20, 16, 16, 16, 15, 10, 10, 5, 5, 6, 7, 6, 6, 6, 9, 9, 13, 13, 11, 12, 10, 4, 4, 5, 7, 9, 9, 6, 6, 7, 5, 5, 5, 7, 7, 7, 8, 10, 10, 7, 7, 9, 10, 13, 15, 15, 15, 13, 12, 14, 14, 9, 9, 11, 12, 14, 14, 14, 4, 4, 5, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 10, 14, 13, 14, 14, 14, 12, 13, 13, 13, 12, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 9, 9, 9, 8, 8, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 10, 6, 6, 9, 9, 9, 9, 8, 8, 11, 11, 11, 11, 10, 11, 10, 12, 12, 12, 12, 12, 12, 10, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 14, 13, 14, 14, 14, 12, 13, 13, 13, 13 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 8, 8, 0, 1, 2, 2, 2, 1, 4, 8, 8, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 10, 10, 0, 0, 0, 10, 10, 0, 0, 0, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 3, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 3, 3, 3, 0, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 5, 5, 5, 5, 0, 1, 2, 1, 4, 4, 6, 6, 6, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 6, 6, 3, 1, 3, 3, 3, 0, 0, 1, 2, 1, 2, 2, 4, 4, 7, 0, 1, 2, 1, 1, 2, 7, 7, 7, 0, 0, 0, 3, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 8, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2 ]
[ 465, 5741, 203, 465, 316, 203, 465, 1133, 203, 465, 2361, 203, 465, 27374, 203, 465, 2322, 203, 465, 540, 5315, 203, 1070, 5439, 26251, 1188, 24814, 265, 203, 1070, 28039, 1580, 1188, 24814, 1486, 203, 1070, 619, 99, 32, 38580, 4044, 1188, 319, 203, 1070, 2674, 7522, 717, 1188, 5806, 7522, 717, 203, 1070, 35094, 1188, 33845, 203, 823, 17491, 44, 284, 665, 1156, 1664, 3207, 784, 30, 2771, 711, 291, 630, 32, 3359, 280, 2771, 291, 630, 32, 19118, 280, 2149, 284, 665, 1156, 371, 3207, 784, 30, 2830, 30, 2830, 681, 711, 291, 1188, 35094, 291, 442, 35094, 32, 9865, 26, 784, 3667, 1851, 7642, 2830, 27, 284, 665, 1156, 1851, 3207, 784, 30, 319, 1132, 30, 1115, 38103, 711, 291, 1188, 19571, 291, 596, 280, 19571, 32, 16958, 26, 1132, 77, 35, 23751, 429, 35, 7283, 24088, 32, 16958, 26, 38103, 30, 429, 35, 27, 291, 415, 646, 596, 328, 630, 32, 19118, 44, 4288, 1056, 280, 630, 32, 3359, 2740, 1132, 30, 1115, 38103, 27, 324, 415, 1056, 44, 400, 630, 32, 19118, 77, 466, 79, 280, 1056, 324, 813, 44, 400, 442, 1056, 4456, 442, 630, 32, 19118, 77, 466, 79, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 24814, 20713, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2404, 30, 2674, 360, 496, 30, 2674, 360, 1956, 30, 2674, 360, 2035, 711, 291, 630, 32, 1956, 280, 2404, 291, 630, 32, 1840, 280, 24814, 265, 26, 1956, 27, 291, 630, 32, 33174, 280, 24814, 1486, 26, 1956, 27, 291, 309, 3038, 953, 280, 596, 26, 500, 32, 23407, 440, 69, 8711, 81, 3307, 392, 313, 11596, 7201, 346, 291, 309, 3038, 7792, 280, 596, 26, 500, 32, 23407, 440, 69, 8711, 81, 17252, 392, 313, 11596, 7201, 346, 291, 309, 3038, 2205, 280, 596, 26, 500, 32, 23407, 440, 69, 8711, 81, 2413, 392, 313, 11596, 7201, 346, 291, 630, 32, 38022, 280, 540, 5315, 32, 1486, 26, 330, 641, 555, 2537, 19189, 50, 34917, 1643, 26, 38022, 953, 30, 309, 3038, 7792, 30, 309, 3038, 2205, 27, 829, 291, 630, 32, 833, 360, 280, 5806, 7522, 717, 26, 699, 47, 833, 360, 496, 30, 2404, 47, 833, 360, 1956, 30, 3408, 47, 833, 360, 2035, 27, 291, 630, 32, 833, 360, 32, 1877, 81, 11201, 346, 291, 630, 32, 9786, 36785, 280, 301, 35, 34, 34, 44, 330, 1061, 2969, 9080, 20040, 225, 43, 34, 44, 330, 32380, 20916, 381, 370, 225, 42, 34, 44, 330, 7554, 370, 225, 39, 34, 44, 330, 5947, 370, 225, 36, 39, 44, 330, 11994, 370, 225, 34, 44, 330, 46509, 668, 6040, 284, 665, 2467, 2822, 360, 8357, 26, 784, 30, 2685, 711, 291, 442, 630, 32, 833, 360, 32, 6528, 32, 1217, 26, 2685, 47, 5483, 30, 2202, 347, 878, 20, 829, 284, 665, 2467, 2822, 360, 29505, 12748, 26, 784, 30, 34027, 30, 1115, 5321, 711, 291, 442, 630, 32, 833, 360, 32, 38101, 12748, 32, 1217, 26, 5632, 4964, 11519, 47, 36042, 30, 2532, 347, 1174, 31, 9786, 392 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 5, 7, 8, 7, 9, 8, 9, 9, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 4, 4, 6, 6, 9, 10, 9, 11, 10, 12, 11, 9, 11, 9, 10, 9, 10, 9, 10, 9, 9, 11, 9, 4, 4, 5, 6, 7, 7, 8, 9, 5, 5, 5, 8, 8, 10, 11, 10, 12, 10, 10, 12, 10, 6, 6, 7, 7, 7, 7, 12, 13, 11, 12, 11, 10, 10, 7, 7, 8, 8, 8, 10, 4, 4, 5, 7, 8, 6, 7, 6, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 4, 4, 7, 7, 6, 6, 10, 13, 12, 13, 12, 14, 14, 14, 14, 14, 12, 14, 9, 8, 4, 4, 7, 7, 6, 6, 10, 13, 12, 13, 12, 14, 14, 14, 14, 14, 12, 14, 9, 8, 4, 4, 7, 7, 6, 6, 10, 13, 12, 13, 12, 14, 14, 14, 14, 14, 12, 14, 9, 8, 4, 4, 7, 8, 6, 6, 9, 8, 9, 8, 8, 12, 12, 12, 12, 12, 12, 11, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 6, 6, 9, 9, 9, 8, 8, 10, 10, 10, 10, 7, 9, 9, 8, 8, 10, 10, 10, 10, 7, 9, 9, 8, 8, 10, 10, 7, 9, 9, 8, 8, 10, 10, 7, 9, 9, 8, 8, 10, 10, 7, 9, 8, 8, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 9, 10, 10, 8, 9, 7, 8, 7, 7, 8, 9, 7, 7, 8, 10, 10, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 5, 9, 10, 10, 8, 9, 9, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 8, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 0, 1, 2, 2, 9, 9, 0, 10, 10, 0, 0, 10, 10, 0, 0, 0, 11, 11, 11, 11, 0, 12, 12, 12, 12, 12, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2, 1, 1, 0, 4, 4, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 4, 4, 4, 0, 4, 4, 3, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 14, 14, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 9, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 3, 1, 1, 1, 2, 2, 0, 0, 5, 5, 1, 2, 2, 0, 0, 7, 7, 1, 2, 2, 0, 0, 9, 9, 1, 2, 2, 0, 11, 11, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 1, 1, 1, 2 ]
[ 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 1070, 22045, 32, 1357, 1188, 1984, 19042, 203, 465, 42406, 203, 465, 2322, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 7744, 1188, 35448, 203, 823, 6324, 26, 3378, 32, 1243, 711, 284, 5881, 1934, 3946, 28695, 810, 14468, 328, 322, 4181, 9592, 284, 1623, 81, 314, 280, 4549, 32, 17991, 30400, 26, 4457, 81, 678, 47, 1815, 27, 284, 11210, 81, 1204, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36, 34, 30, 1244, 32601, 284, 636, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 34, 34, 30, 1244, 1057, 77, 1347, 636, 3943, 26392, 284, 4269, 280, 4549, 32, 13343, 463, 2913, 370, 544, 81, 2560, 47, 3378, 32, 28781, 27, 284, 3048, 280, 4549, 32, 10215, 26, 1536, 1057, 2023, 3048, 3943, 683, 284, 827, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 34, 30, 1244, 32601, 284, 540, 13352, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 30, 1244, 32601, 284, 3193, 280, 4549, 32, 17991, 12470, 30400, 26, 1536, 47, 34, 27, 284, 16403, 81, 853, 280, 4549, 32, 17991, 30400, 26, 1536, 47, 34, 27, 284, 10925, 81, 267, 81, 42926, 81, 1526, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 284, 883, 81, 864, 81, 6168, 318, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 284, 883, 81, 15735, 81, 1070, 81, 7980, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 284, 16403, 81, 4415, 280, 4549, 32, 17991, 30400, 26, 1536, 47, 34, 27, 284, 2340, 81, 11043, 280, 4549, 32, 36172, 346, 284, 443, 11985, 44, 291, 19404, 280, 3037, 31, 770, 81, 11043, 1446, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 313, 1097, 313, 474, 596, 26, 784, 32, 1094, 81, 314, 27, 474, 10685, 313, 474, 630, 32, 426, 284, 665, 1015, 81, 3958, 26, 784, 30, 1623, 3958, 711, 291, 630, 32, 1094, 81, 314, 280, 1623, 3958, 710, 314, 785, 291, 630, 32, 6172, 81, 1204, 280, 1623, 3958, 710, 6172, 81, 1204, 785, 291, 415, 1623, 3958, 710, 426, 785, 863, 40496, 324, 630, 32, 426, 280, 1623, 3958, 710, 426, 785, 291, 1596, 44, 324, 415, 1623, 3958, 710, 2310, 785, 863, 40496, 400, 630, 32, 2310, 280, 1623, 3958, 710, 2310, 785, 291, 2940, 25085, 44, 324, 3097, 291, 630, 32, 681, 280, 1623, 3958, 710, 681, 785, 291, 630, 32, 100, 13352, 280, 1623, 3958, 710, 100, 13352, 785, 291, 630, 32, 2649, 280, 1623, 3958, 710, 2649, 785, 291, 630, 32, 7980, 81, 853, 280, 1623, 3958, 710, 7980, 81, 853, 785, 291, 630, 32, 770, 81, 11043, 280, 22158, 32, 2174, 346, 284, 665, 622, 81, 12325, 81, 13046, 26, 784, 30, 15714, 47, 35, 711, 291, 5881, 2891, 322, 7847, 432, 322, 15714, 432, 458, 1623, 415, 323, 8392, 544, 322, 33286, 2364, 9592, 291, 10800, 81, 10389, 280, 630, 32, 10599, 14824, 81, 470, 32, 464, 922, 1174, 81, 1170, 463, 2243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 8, 8, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 8, 6, 8, 8, 7, 9, 8, 9, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 7, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 7, 2, 2, 4, 4, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 3, 6, 6, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 10, 10, 8, 8, 10, 12, 11, 12, 12, 12, 10, 7, 7, 9, 6, 6, 7, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 7, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 7, 9, 9, 9, 9, 4, 4, 5, 8, 7, 9, 9, 6, 6, 5, 5, 9, 10, 8, 8, 10, 9, 11, 11, 4, 4, 5, 5, 5, 7, 10, 9, 11, 11, 8, 8, 7, 7, 11, 12, 10, 10, 12, 11, 13, 13, 5, 5, 6, 6, 6, 6, 4, 4, 7, 8, 6, 6, 8, 7, 9, 9, 4, 4, 7, 8, 8, 6, 6, 8, 7, 9, 9, 9, 4, 4, 7, 8, 6, 6, 8, 7, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 11, 12, 12, 12, 12, 10, 11, 10, 9, 9, 9, 8, 10 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 2, 0, 1, 2, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 15, 15, 15, 15, 0, 0, 1, 1, 1, 1, 2, 4, 4, 16, 1, 1, 1, 2, 16, 16, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 4, 4, 17, 1, 1, 2, 1, 2, 2, 3, 2, 17, 17, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 4, 4, 3, 3, 3, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 3, 3, 3, 3, 3, 3, 4, 4, 0, 2, 0, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 18, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 18, 18, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 505, 2116, 505, 280, 313, 828, 48390, 488, 32, 551, 19245, 20, 203, 505, 1648, 505, 280, 313, 34, 32, 39, 20, 203, 465, 7744, 203, 465, 1933, 203, 1070, 638, 9138, 81, 18979, 1188, 319, 203, 1070, 638, 2243, 1188, 7137, 30, 438, 81, 2243, 30, 8742, 2274, 203, 823, 37585, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 786, 47, 2521, 30, 4201, 47, 2521, 711, 291, 415, 4201, 610, 1665, 44, 4288, 415, 438, 81, 2243, 26, 853, 711, 400, 4201, 280, 786, 400, 786, 280, 1605, 324, 4348, 438, 81, 10954, 26, 853, 711, 400, 4201, 280, 786, 32, 2243, 400, 786, 280, 786, 1114, 853, 324, 4348, 617, 297, 81, 800, 26, 853, 711, 400, 4201, 280, 8742, 2274, 324, 813, 44, 400, 438, 81, 2630, 280, 2933, 400, 1596, 44, 528, 595, 280, 3850, 26, 853, 27, 400, 2940, 12678, 44, 528, 438, 81, 2630, 280, 3177, 400, 415, 438, 81, 2630, 44, 528, 415, 2069, 26, 853, 27, 333, 225, 35, 44, 715, 4201, 280, 8742, 2274, 528, 813, 44, 715, 1932, 81, 1094, 280, 3850, 26, 853, 547, 1978, 346, 715, 415, 786, 610, 1932, 81, 1094, 44, 1014, 4201, 280, 8742, 2274, 715, 813, 44, 1014, 4201, 280, 37585, 26, 2232, 81, 1094, 547, 2243, 528, 537, 81, 2630, 280, 37585, 25619, 4201, 27, 528, 436, 1623, 328, 786, 44, 715, 537, 81, 2630, 32, 1689, 26, 13017, 26, 1094, 490, 11057, 1596, 44, 715, 1188, 6436, 715, 415, 6937, 26, 853, 30, 6436, 32, 16771, 711, 1014, 786, 280, 6436, 32, 955, 26, 890, 81, 2630, 1114, 853, 27, 715, 813, 44, 1014, 786, 280, 786, 3667, 823, 3207, 890, 81, 2630, 1114, 853, 27, 528, 2940, 29986, 44, 715, 786, 280, 786, 3667, 823, 3207, 890, 81, 2630, 1114, 853, 27, 400, 813, 44, 528, 4201, 280, 8742, 2274, 31509, 415, 438, 81, 10954, 26, 2243, 711, 324, 786, 280, 786, 319, 4201, 1114, 853, 324, 4201, 280, 4201, 32, 2243, 291, 415, 786, 610, 1665, 44, 324, 786, 280, 1605, 20216, 630, 1114, 853, 280, 786, 291, 630, 32, 2243, 280, 4201, 284, 665, 1156, 371, 1293, 3207, 784, 711, 291, 1603, 280, 5436, 346, 291, 1603, 26033, 853, 785, 280, 630, 1114, 853, 291, 1603, 710, 2243, 785, 280, 630, 32, 2243, 291, 442, 1603, 284, 665, 1156, 470, 1293, 3207, 784, 30, 1603, 711, 291, 630, 1114, 853, 280, 1603, 26033, 853, 785, 291, 630, 32, 2243, 280, 1603, 710, 2243, 785, 291, 442, 284, 665, 1156, 2991, 3207, 784, 711, 291, 442, 37585, 26, 2991, 32, 2991, 26, 784, 1114, 853, 471, 630, 32, 2243, 27, 284, 665, 1156, 34003, 3207, 784, 30, 17491, 711, 291, 442, 37585, 26, 2991, 32, 34003, 26, 784, 1114, 853, 30, 17491, 471, 630, 32, 2243, 27, 284, 665, 1156, 32110, 3207, 784, 30, 3879, 711, 291, 2152, 81, 695, 280, 18623, 26, 784, 1114, 853, 30, 3879, 27, 291, 442, 2152, 81, 695, 284, 665, 1156, 466, 3207, 784, 711, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 9, 9, 9, 10, 9, 7, 7, 10, 10, 8, 8, 10, 10, 7, 7, 8, 10, 10, 10, 11, 10, 8, 8, 11, 11, 12, 13, 9, 9, 11, 11, 12, 13, 7, 7, 8, 10, 10, 10, 10, 11, 10, 8, 8, 11, 11, 12, 7, 7, 8, 8, 8, 12, 12, 11, 11, 9, 9, 10, 10, 10, 13, 13, 15, 16, 15, 10, 10, 11, 11, 11, 11, 15, 15, 14, 14, 9, 9, 10, 11, 11, 10, 10, 10, 12, 15, 16, 15, 13, 13, 14, 12, 12, 12, 15, 15, 16, 12, 12, 13, 13, 13, 17, 17, 16, 16, 20, 21, 20, 19, 18, 14, 14, 15, 16, 16, 17, 17, 15, 15, 15, 18, 18, 19, 15, 15, 16, 16, 16, 19, 19, 22, 23, 23, 23, 22, 21, 11, 11, 14, 14, 13, 13, 15, 15, 15, 11, 11, 12, 12, 12, 12, 12, 12, 17, 17, 16, 17, 16, 18, 18, 19, 18, 11, 11, 12, 12, 12, 14, 13, 13, 14, 16, 17, 16, 16, 17, 18, 16, 14, 14, 17, 17, 19, 20, 19, 21, 21, 21, 20, 21, 19, 14, 14, 15, 15, 15, 18, 18, 20, 21, 21, 22, 22, 22, 21, 22, 20, 12, 12, 13, 13, 13, 13, 16, 16, 18, 19, 19, 20, 20, 20, 19, 20, 18, 10, 10, 11, 11, 11, 14, 14, 15, 4, 4, 5, 7, 7, 7, 8, 7, 5, 5, 8, 8, 9, 9, 10, 11, 6, 6, 8, 8, 9, 10, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 7, 9, 9, 6, 6, 7, 8, 4, 4, 7, 9, 9, 6, 6, 7, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 10, 9, 10, 9, 11, 10, 11, 9, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 10, 9, 10, 9, 11, 10, 11, 9, 9, 9, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 10, 9, 10, 8, 8, 8, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3 ]
[ 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, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 5, 5, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 3, 3, 0, 0, 2, 2, 0, 0, 5, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 2, 0, 0, 6, 6, 6, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 3, 3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 3, 3, 3, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 4, 4, 4, 0, 0, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 4, 4, 0, 1, 2, 0, 0, 2, 2, 4, 4, 0, 1, 2, 0, 0, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 6, 1, 1, 1, 2, 6 ]
[ 465, 617, 14107, 37, 261, 203, 465, 45977, 203, 465, 1933, 203, 1070, 10245, 1188, 23501, 203, 1070, 8527, 32, 7491, 32, 8200, 1188, 24386, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 1439, 32, 3968, 1188, 3772, 3954, 3694, 4822, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 823, 6716, 3694, 4822, 26, 1761, 3954, 3694, 4822, 711, 284, 5552, 81, 2560, 81, 1274, 280, 313, 12464, 4925, 18147, 1274, 27, 101, 20, 284, 5552, 81, 1297, 81, 3221, 81, 13062, 280, 313, 18807, 14183, 18147, 452, 81, 1274, 27, 101, 10027, 26, 452, 81, 2592, 27, 101, 4731, 284, 665, 15358, 81, 853, 26, 784, 30, 786, 711, 291, 1596, 44, 324, 786, 280, 617, 14107, 37, 32, 19647, 26, 853, 27, 291, 2940, 617, 14107, 37, 32, 23560, 924, 44, 324, 3097, 291, 415, 6937, 26, 853, 30, 827, 26, 1815, 8531, 324, 442, 596, 26, 410, 26, 853, 490, 291, 4348, 6937, 26, 853, 30, 308, 7697, 30, 1897, 8531, 324, 442, 596, 26, 853, 27, 291, 4348, 6937, 26, 853, 30, 18792, 32, 5823, 81, 2516, 711, 324, 442, 596, 26, 853, 27, 291, 4348, 6937, 26, 853, 30, 18792, 32, 800, 81, 2516, 711, 324, 442, 5335, 23, 101, 7362, 904, 18792, 32, 878, 81, 681, 26, 853, 547, 3227, 5528, 13042, 2706, 25, 6945, 657, 291, 4348, 786, 438, 1665, 44, 324, 442, 313, 3293, 20, 291, 4348, 6937, 26, 853, 30, 308, 3651, 30, 3432, 955, 30, 18792, 32, 5566, 1071, 8531, 324, 786, 280, 3519, 26, 853, 27, 324, 9960, 81, 13023, 280, 45977, 32, 371, 13023, 463, 6949, 81, 12782, 683, 324, 786, 81, 6949, 30, 617, 1322, 280, 9960, 81, 13023, 26, 853, 27, 324, 442, 313, 74, 21735, 101, 7362, 904, 786, 81, 6949, 32, 5460, 463, 14510, 683, 291, 813, 44, 324, 3636, 10091, 440, 11394, 15358, 3395, 786, 904, 100, 432, 827, 904, 101, 20, 904, 308, 853, 30, 827, 26, 853, 2610, 284, 665, 617, 268, 2682, 81, 1274, 26, 784, 30, 1542, 30, 1487, 81, 4151, 33792, 3066, 81, 4151, 33792, 13930, 81, 4151, 33792, 2684, 81, 13394, 11266, 47, 2521, 30, 2855, 2684, 81, 18713, 47, 2521, 711, 291, 3361, 280, 301, 88, 32, 426, 44, 296, 436, 296, 328, 1542, 1114, 2859, 32, 1696, 81, 4151, 111, 291, 7996, 280, 301, 88, 32, 2592, 44, 630, 32, 7345, 81, 426, 26, 88, 32, 2592, 27, 436, 296, 328, 1542, 1114, 2859, 32, 1696, 81, 4151, 111, 291, 16144, 81, 9387, 280, 2149, 291, 11309, 81, 3174, 81, 1495, 280, 1665, 291, 415, 1346, 26, 88, 32, 4457, 81, 678, 436, 296, 328, 1487, 81, 4151, 27, 556, 1346, 26, 96, 32, 4457, 81, 678, 436, 337, 30, 310, 328, 13930, 81, 4151, 711, 324, 436, 636, 30, 1600, 328, 1149, 26, 1548, 32, 3028, 22805, 400, 415, 1600, 32, 4457, 81, 678, 44, 528, 1600, 32, 4457, 81, 678, 280, 3177, 528, 11309, 81, 3174, 81, 1495, 280, 1600, 528, 415, 1600, 32, 2837, 81, 4524, 44, 715, 3555, 3361, 77, 426, 79, 715 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 8, 8, 11, 11, 10, 11, 10, 11, 10, 5, 5, 6, 8, 8, 7, 8, 8, 6, 6, 6, 4, 4, 5, 7, 8, 7, 7, 9, 10, 9, 5, 5, 7, 9, 11, 11, 12, 11, 5, 5, 6, 8, 9, 8, 8, 10, 9, 9, 9, 6, 6, 8, 10, 11, 10, 5, 5, 6, 8, 9, 8, 8, 9, 10, 10, 10, 8, 6, 6, 8, 10, 11, 10, 5, 5, 6, 8, 9, 8, 8, 9, 10, 10, 10, 8, 6, 6, 8, 11, 11, 11, 9, 9, 13, 14, 14, 14, 13, 14, 13, 12, 11, 14, 11, 14, 14, 13, 5, 5, 6, 7, 7, 6, 6, 6, 8, 10, 10, 5, 5, 6, 8, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 11, 11, 9, 6, 6, 9, 9, 11, 12, 11, 7, 7, 10, 10, 9, 9, 11, 12, 12, 11, 13, 13, 13, 13, 7, 7, 11, 11, 10, 10, 11, 9, 9, 11, 11, 11, 12, 11, 7, 7, 8, 11, 11, 11, 11, 9, 9, 12, 12, 11, 12, 11, 13, 13, 5, 5, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 12, 12, 14, 15, 14, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 4, 6, 6, 5, 4, 6, 6, 5, 4, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 6, 6, 10, 9, 10, 8, 8, 7, 8, 8, 8, 10, 11, 9, 10, 10, 10, 7, 4, 4, 6, 6, 10, 9, 10, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 7, 8, 8, 8, 10, 11, 9, 10, 10, 10, 7, 4, 4, 7, 7, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 5, 8, 10, 9, 10, 10, 10, 8, 9, 9, 9, 10, 10, 8, 6, 6, 8, 10, 9, 10, 10, 10, 8, 9, 10, 10, 9, 9, 10, 10, 8, 5, 5, 7, 8, 8, 7, 7, 9, 12, 11, 12, 11, 7, 7, 9, 10, 11, 11, 11, 9, 9, 9, 13, 14, 14, 14, 12, 12, 10, 10, 13, 13, 13, 13, 12, 12, 10, 10, 11, 12, 13, 13, 13, 11, 11, 11, 13, 14, 15, 14, 12 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 1, 8, 5, 5, 0, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 1, 2, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 3, 0, 0, 1, 2, 2, 3, 3, 3, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 3, 3, 3, 4, 4, 0, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 3, 2, 2, 2, 1, 5, 5, 0, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 3, 2, 2, 2, 1, 6, 6, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 7, 1, 1, 7, 7, 7, 0, 1, 2, 1, 1, 8, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 2, 2, 3, 8, 8, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 9, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 0, 0, 7, 2, 0, 0, 9, 2, 0, 0, 0, 11, 2, 2, 2, 2, 0, 0, 13, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 3, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 3, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 3, 3, 1, 4, 4, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 3 ]
[ 1070, 4377, 8494, 81, 5866, 1188, 358, 7108, 4599, 5392, 203, 1070, 4377, 8494, 1188, 358, 7108, 4599, 2059, 203, 1070, 4377, 1188, 3570, 203, 589, 4705, 81, 1647, 26, 1647, 711, 284, 3570, 32, 539, 81, 28783, 280, 3177, 203, 823, 2108, 4599, 5392, 26, 1473, 711, 284, 665, 4705, 81, 1959, 26, 784, 30, 1411, 711, 291, 630, 32, 8494, 280, 358, 7108, 4599, 2059, 26, 1840, 81, 3959, 47, 2700, 30, 2926, 1057, 12565, 370, 6929, 81, 891, 47, 35, 27, 291, 630, 32, 8494, 32, 1366, 346, 291, 630, 32, 5866, 280, 358, 7108, 4599, 5392, 346, 291, 630, 32, 5866, 32, 3517, 26, 8494, 47, 784, 32, 8494, 30, 6929, 81, 891, 47, 35, 27, 284, 665, 40688, 81, 1959, 26, 784, 30, 1411, 711, 291, 415, 630, 32, 5866, 32, 297, 81, 10089, 44, 324, 630, 32, 5866, 32, 18235, 346, 291, 630, 32, 8494, 32, 4048, 346, 284, 665, 894, 81, 297, 81, 10089, 26, 784, 711, 291, 1201, 630, 32, 5866, 32, 297, 81, 10089, 284, 665, 894, 81, 18235, 26, 784, 711, 291, 630, 32, 5866, 32, 18235, 346, 284, 665, 894, 81, 7075, 26, 784, 711, 291, 630, 32, 5866, 32, 7075, 346, 284, 665, 894, 81, 15265, 26, 784, 711, 291, 1056, 280, 630, 32, 5866, 32, 3317, 26, 784, 32, 5866, 32, 809, 761, 1365, 22689, 32, 7241, 6890, 291, 630, 32, 5866, 32, 28402, 26, 1267, 710, 22689, 32, 2055, 31, 678, 3490, 203, 589, 894, 81, 2988, 81, 809, 761, 26, 30606, 711, 284, 5440, 761, 280, 3691, 1515, 32, 2524, 3949, 22689, 858, 1814, 35490, 922, 466, 983, 284, 20089, 280, 358, 7108, 4599, 2059, 26, 1840, 81, 3959, 47, 2700, 30, 5440, 761, 47, 809, 761, 30, 6929, 81, 891, 47, 35, 27, 284, 20089, 32, 1366, 346, 284, 7664, 280, 358, 7108, 4599, 5392, 346, 284, 7664, 32, 3517, 26, 8494, 47, 8494, 30, 6929, 81, 891, 47, 35, 27, 284, 20089, 32, 4048, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 6, 6, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 8, 10, 10, 10, 9, 10, 8, 8, 9, 11, 11, 8, 10, 10, 9, 10, 8, 4, 4, 8, 9, 7, 8, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 8, 9, 7, 8, 7, 9, 8, 10, 9, 10, 7, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 7, 7, 7, 5, 5, 5, 10, 11, 9, 10, 9, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 11, 9, 11, 11, 11, 11, 4, 4, 8, 9, 7, 8, 7, 9, 8, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 10, 9, 10, 9, 11, 11, 11, 8, 7, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 8, 8, 8, 7, 8, 6, 6, 8, 7, 8, 8, 6, 6, 8, 8, 7, 8, 6, 2, 2, 5, 6, 5, 2, 2, 4, 4, 6, 6, 6, 6, 2, 2, 5, 6, 5, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 3, 1, 2, 1, 0, 0, 5, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 3, 2, 2, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 2519, 37, 86, 81, 84, 10540, 1188, 319, 203, 465, 16672, 203, 465, 2322, 203, 465, 3995, 203, 465, 6436, 619, 2065, 203, 465, 5589, 203, 465, 5589, 32, 3997, 619, 8348, 203, 465, 5589, 32, 3997, 32, 13449, 203, 465, 5589, 32, 11514, 32, 85, 33106, 619, 281, 33106, 203, 465, 5589, 32, 8311, 619, 6552, 203, 465, 5589, 32, 2304, 32, 605, 203, 465, 42188, 32, 15183, 619, 343, 470, 203, 465, 42188, 32, 24472, 619, 19570, 203, 465, 42188, 32, 2304, 619, 354, 2304, 203, 1070, 5589, 32, 2837, 4943, 1188, 9870, 203, 1070, 15500, 1188, 6673, 9395, 203, 1070, 2260, 1299, 1188, 6431, 5142, 30, 6431, 5142, 68, 203, 465, 5589, 32, 3997, 32, 18651, 619, 506, 203, 465, 12500, 32, 17449, 619, 5743, 203, 3922, 280, 16672, 32, 26633, 346, 203, 3922, 32, 669, 81, 2669, 12664, 1160, 370, 827, 47, 466, 30, 1244, 280, 2550, 225, 3049, 1057, 1160, 1519, 683, 203, 2215, 280, 4118, 32, 2208, 81, 1132, 346, 203, 1216, 308, 2215, 27, 203, 2518, 280, 6431, 5142, 68, 346, 203, 2518, 32, 944, 81, 1293, 81, 2665, 26, 7753, 32, 944, 26, 2215, 32, 1160, 490, 203, 4485, 81, 15964, 280, 9870, 26, 7753, 32, 39385, 26, 39, 30, 225, 40, 30, 225, 36, 34, 490, 203, 4485, 81, 1347, 9408, 280, 9870, 26, 7753, 32, 9880, 26, 39, 30, 225, 37, 34, 319, 225, 39, 30, 36, 34, 490, 203, 979, 594, 328, 2155, 26, 39, 711, 284, 436, 595, 328, 2155, 26, 37, 34, 711, 291, 816, 280, 308, 35, 31, 91, 33, 37, 34, 32, 34, 27, 291, 3760, 81, 1347, 9408, 6894, 91, 474, 225, 37, 34, 319, 594, 33605, 280, 3760, 81, 15964, 6894, 92, 33605, 319, 816, 474, 3760, 81, 15964, 6894, 26, 92, 29, 35, 27, 904, 225, 39, 33605, 319, 308, 35, 31, 106, 27, 203, 3953, 280, 4479, 26, 4485, 81, 1347, 9408, 27, 203, 1493, 81, 2356, 280, 4981, 32, 16547, 26, 36, 30, 35, 547, 605, 32, 10337, 346, 203, 1216, 26, 1493, 81, 2356, 32, 3229, 27, 203, 979, 595, 328, 2155, 26, 35, 39, 34, 711, 284, 1459, 26, 91, 27, 284, 3118, 280, 2519, 3953, 81, 1744, 26, 1493, 81, 2356, 77, 91, 1130, 284, 5743, 32, 23026, 26, 1744, 27, 284, 5743, 32, 5082, 463, 1719, 683, 3701, 5743, 32, 25317, 15339, 101, 9708, 34, 38, 86, 32, 1645, 25, 904, 463, 541, 81, 1252, 278, 370, 595, 471, 19447, 81, 30082, 1057, 24346, 683, 284, 5743, 32, 25371, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 4, 3, 4, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 3, 2, 2, 4, 5, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 5, 3, 3, 4, 4, 3, 3, 4, 6, 6, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 2, 4, 3, 0, 3, 2, 2, 4, 4, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 6, 5, 6, 5, 7, 6, 7, 5, 0, 3, 3, 3, 2, 2, 4, 7, 6, 7, 6, 7, 6, 6, 7, 6, 6, 7, 7, 6, 0, 3, 3, 3, 3, 2, 2, 4, 7, 6, 7, 6, 7, 6, 6, 8, 8, 7, 7, 8, 6, 7, 7, 6, 0, 1, 1, 1, 1, 3, 4, 3, 1, 1, 3, 3, 3, 5, 6, 6, 5, 3, 3, 6, 6, 9, 8, 10, 9, 10, 10, 10, 10, 7, 4, 4, 8, 8, 8, 7, 9, 8, 8, 10, 10, 9, 9, 7, 6, 6, 10, 10, 9, 10, 9, 8, 8, 7, 7, 10, 10, 9, 11, 13, 12, 13, 11, 10, 10, 11, 9, 8, 8, 11, 10, 11, 9, 0, 3, 2, 2, 4, 5, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 7, 8, 7, 8, 7, 8, 7, 6, 4, 5, 4, 0, 3, 3, 5, 5, 5, 4, 5, 3, 0, 1, 1, 1, 1, 3, 4, 4, 4, 3, 1, 1, 5, 6, 5, 2, 2, 4, 4, 6, 6, 6, 6, 8, 8, 8, 7, 8, 7, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 6, 5, 7, 7, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 7, 7, 5, 7, 7, 6, 8, 8, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 0, 6, 6, 0, 7, 7, 0, 2, 1, 1, 0, 8, 8, 1, 2, 1, 4, 0, 9, 9, 0, 2, 0, 4, 4, 1, 1, 2, 0, 10, 10, 0, 2, 1, 1, 0, 11, 11, 1, 2, 1, 4, 0, 12, 12, 0, 2, 1, 1, 2, 0, 13, 13, 0, 2, 1, 1, 0, 14, 14, 0, 2, 1, 1, 2, 0, 15, 15, 1, 2, 2, 15, 15, 0, 16, 16, 16, 16, 0, 0, 17, 17, 0, 17, 17, 0, 17, 17, 0, 0, 0, 18, 18, 0, 2, 0, 4, 1, 1, 0, 19, 19, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 5, 1, 1, 7, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 3, 2, 1, 5, 5, 1, 0, 28, 28, 28, 28, 1, 1, 1, 28, 28, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 4, 4, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 32, 32, 32, 32, 1, 1, 1, 1, 1, 32, 32, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 5, 5, 0, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 3, 1, 2, 5, 5, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 24495, 203, 465, 24495, 32, 15189, 203, 1070, 638, 1580, 81, 11452, 1188, 308, 1486, 65, 21887, 30, 5675, 7935, 924, 30, 1378, 5675, 46794, 30, 4226, 38736, 924, 27, 203, 1070, 638, 525, 1188, 17874, 2825, 30, 7537, 3976, 203, 1070, 638, 15189, 1188, 29420, 81, 39430, 30, 2398, 4084, 203, 823, 5170, 1972, 26, 750, 4084, 30, 24495, 32, 15189, 32, 4055, 2422, 13976, 711, 284, 665, 1156, 1664, 3207, 784, 30, 9305, 5258, 47, 2521, 30, 1115, 5321, 711, 291, 24495, 32, 15189, 32, 4055, 2422, 13976, 3667, 1664, 3207, 784, 30, 5258, 47, 5837, 27, 291, 2398, 4084, 3667, 1664, 3207, 784, 30, 5258, 47, 5837, 27, 291, 630, 32, 34396, 280, 3177, 291, 630, 32, 9613, 280, 1665, 291, 630, 32, 7572, 280, 1665, 291, 630, 1114, 3163, 81, 2679, 280, 3177, 291, 630, 1114, 1436, 280, 1665, 291, 630, 1114, 6263, 280, 1665, 291, 630, 1114, 6263, 81, 3922, 280, 1665, 291, 630, 1114, 20014, 81, 34396, 280, 3177, 291, 630, 1114, 7212, 280, 1665, 291, 630, 1114, 5961, 81, 1517, 280, 1404, 291, 630, 1114, 9793, 280, 323, 2699, 291, 630, 1114, 417, 33987, 280, 3177, 291, 630, 1114, 3922, 280, 1665, 284, 477, 2433, 284, 665, 33082, 26, 784, 711, 291, 442, 630, 1114, 417, 33987, 284, 477, 2433, 284, 665, 1395, 81, 2679, 26, 784, 711, 291, 415, 308, 784, 1114, 6263, 438, 646, 1665, 461, 400, 646, 630, 1114, 6263, 32, 297, 81, 24073, 346, 556, 630, 1114, 417, 33987, 711, 324, 442, 2933, 291, 442, 308, 784, 1114, 3163, 81, 2679, 556, 630, 1114, 417, 33987, 556, 400, 630, 32, 3893, 346, 438, 646, 1665, 556, 400, 630, 1114, 6263, 81, 3922, 438, 646, 1665, 556, 400, 2069, 26, 784, 27, 556, 630, 1114, 9793, 27, 284, 665, 4230, 26, 784, 711, 291, 11337, 280, 630, 32, 9613, 291, 415, 11337, 438, 646, 1665, 44, 324, 11337, 32, 2679, 346, 324, 630, 32, 9613, 280, 1665, 291, 442, 11337, 284, 665, 438, 81, 10089, 26, 784, 711, 291, 442, 630, 32, 9613, 438, 646, 1665, 284, 665, 3387, 81, 24915, 26, 784, 30, 11337, 711, 291, 630, 32, 9613, 280, 11337, 291, 630, 32, 7572, 280, 7537, 3976, 26, 784, 30, 11337, 30, 630, 1114, 5837, 27, 284, 665, 3387, 81, 25098, 26, 784, 30, 13489, 711, 291, 415, 630, 1114, 6263, 81, 3922, 438, 646, 1665, 44, 324, 1596, 44, 400, 630, 1114, 6263, 81, 3922, 32, 6528, 81, 24073, 346, 324, 2940, 3268, 44, 400, 3097, 291, 1596, 44, 324, 630, 1114, 3922, 32, 6528, 81, 24073, 346, 291, 2940, 3268, 619, 484, 44, 324, 415, 630, 1114, 6263, 438, 646, 1665, 44, 400, 630, 1114, 6263, 32, 470, 81, 3893, 26, 528, 5675, 7935, 924, 463, 1397, 5797, 438, 646, 9435, 2847, 291, 415, 646, 630, 32, 297, 81, 24073, 2262, 324, 415, 6937, 26, 14806, 30, 546, 21887, 711, 400, 13489, 280, 5675, 65, 21887, 2740, 14806, 32, 1132, 27, 324, 415, 13489, 438, 1665, 44, 400, 13489, 280, 4226, 38736, 924, 346, 324, 2398, 4084 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 2, 4, 5, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 5, 6, 4, 4, 6, 4, 3, 3, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 7, 7, 8, 9, 7, 4, 4, 8, 7, 8, 8, 8, 7, 7, 8, 9, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 12, 11, 12, 10, 10, 10, 9, 9, 9, 10, 13, 14, 12, 13, 13, 13, 12, 8, 8, 9, 10, 10, 7, 6, 6, 8, 5, 5, 6, 14, 13, 14, 14, 14, 12, 12, 13, 14, 14, 11, 11, 11, 14, 15, 14, 12, 12, 12, 10, 10, 10, 12, 13, 13, 13, 11, 11, 11, 9, 9, 9, 11, 12, 11, 8, 8, 9, 10, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 9, 6, 6, 9, 10, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 8, 8, 8, 9, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 6, 5, 5, 5, 7, 7, 7, 12, 13, 13, 13, 11, 12, 12, 12, 11, 7, 7, 8, 8, 8, 8, 4, 4, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 5, 5, 6, 7, 7, 6, 6, 6, 8, 10, 11, 9, 9, 9, 8, 8, 8, 13, 14, 12, 13, 13, 13, 12, 12, 12, 14, 14, 14, 16, 16, 16, 16, 16, 16, 4, 4, 5, 6, 8, 9, 9, 9, 8, 5, 5, 7, 9, 10, 9, 9, 10, 9, 7, 7, 10, 10, 12, 12, 12, 15, 14, 15, 12, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 12, 12, 12, 6, 6, 10 ]
[ 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 5, 5, 1, 2, 1, 1, 2, 2, 0, 2, 3, 2, 2, 2, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 5, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 3, 2, 1, 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, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 4, 4, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 3, 3, 0, 2, 0, 0, 4, 4, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 3, 3, 3, 3, 4, 4, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 3, 0 ]
[ 1070, 18971, 32, 407, 32, 105, 4213, 1188, 3720, 30, 28563, 30, 5069, 1176, 30, 3319, 5572, 1176, 203, 1070, 18971, 32, 407, 32, 105, 4213, 1188, 11526, 30, 16785, 203, 1070, 18971, 32, 407, 32, 11696, 1188, 40946, 203, 1070, 29863, 19086, 32, 1160, 32, 954, 1240, 1188, 2680, 203, 823, 10609, 1241, 26, 1241, 711, 284, 36935, 280, 28563, 463, 25465, 370, 27927, 280, 428, 5413, 27944, 284, 2625, 81, 289, 280, 3319, 5572, 1176, 463, 7468, 81, 289, 370, 27927, 280, 428, 2380, 26, 887, 280, 225, 34, 30, 1769, 280, 225, 35, 38, 34, 14829, 284, 665, 1156, 1664, 3207, 784, 30, 4707, 81, 25465, 30, 319, 1132, 30, 1115, 5321, 711, 291, 3720, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 27, 291, 630, 32, 7318, 81, 25465, 280, 4707, 81, 25465, 284, 665, 6042, 26, 784, 711, 291, 415, 646, 3720, 32, 4635, 26, 784, 711, 324, 442, 3177, 291, 415, 630, 32, 25465, 32, 605, 610, 630, 32, 7318, 81, 25465, 44, 324, 442, 2933, 291, 415, 630, 32, 25465, 32, 605, 863, 2680, 32, 2682, 81, 1327, 81, 25465, 26, 784, 32, 25465, 32, 605, 711, 324, 630, 32, 25465, 32, 4275, 32, 1689, 26, 33170, 463, 2272, 36935, 1401, 5535, 7125, 32, 5294, 793, 19400, 30, 7515, 30, 31117, 461, 45982, 7391, 1755, 32, 2847, 324, 442, 3177, 291, 1256, 280, 2680, 32, 1217, 32, 2029, 81, 1170, 26, 25465, 280, 630, 32, 25465, 32, 605, 547, 2232, 346, 291, 415, 1256, 863, 1665, 44, 324, 630, 32, 25465, 32, 4275, 32, 1689, 26, 33170, 463, 2272, 36935, 438, 3425, 328, 793, 32, 5294, 9173, 4674, 1591, 32, 2847, 324, 442, 3177, 291, 442, 2933, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 8, 8, 6, 7, 7, 10, 10, 2, 2, 5, 5, 4, 4, 6, 6, 6, 8, 8, 8, 8, 6, 7, 7, 10, 10, 12, 11, 11, 12, 10, 10, 11, 11, 12, 12, 12, 10, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 8, 9, 8, 9, 8, 5, 5, 7, 4, 4, 5, 8, 9, 7, 8, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 4, 4, 5, 8, 9, 7, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 11, 10, 11, 9, 10, 8, 5, 5, 11, 12, 10, 11, 9, 10, 9, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 4, 4, 6, 6, 11, 12, 10, 11, 11, 11, 10, 12, 11, 11, 13, 14, 12, 13, 10, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 11, 12, 10, 11, 9, 10, 9, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 3, 3, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 1, 1, 2, 1, 3, 3, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 0, 1, 0, 1, 1, 2, 1, 1, 3, 3, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 4, 4, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 4, 4, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 4, 4, 4, 1, 1, 4, 4, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2297, 32, 5558, 32, 3259, 32, 23416, 265, 1188, 30173, 265, 203, 823, 10473, 944, 43557, 26, 23416, 265, 711, 284, 1156, 426, 505, 264, 280, 313, 6221, 944, 43557, 20, 284, 1156, 681, 505, 264, 280, 313, 3697, 265, 20, 284, 1156, 1648, 505, 280, 313, 34, 32, 38, 35, 20, 284, 1156, 5607, 505, 280, 540, 25, 525, 555, 18470, 12456, 33, 6603, 8169, 6505, 6844, 944, 8169, 13478, 13824, 270, 2371, 96, 541, 110, 47661, 108, 3795, 4165, 32, 6897, 284, 1156, 1163, 505, 225, 280, 428, 440, 539, 81, 1113, 6175, 20, 262, 1717, 313, 2420, 392, 313, 5126, 2652, 372, 1361, 6175, 20, 2264, 1717, 2933, 471, 4511, 2884, 1113, 6175, 81, 462, 81, 2423, 392, 313, 2420, 392, 313, 1922, 312, 1361, 6175, 436, 2504, 2652, 20, 1717, 2933, 471, 4511, 2884, 3985, 3663, 265, 20, 351, 1717, 313, 466, 20, 1717, 313, 45206, 318, 3408, 265, 1149, 308, 1632, 31, 26398, 5715, 3330, 225, 2588, 4511, 2884, 30035, 3663, 265, 20, 262, 1717, 313, 466, 20, 1717, 313, 31360, 3408, 265, 1149, 308, 1632, 31, 26398, 4731, 1717, 3330, 225, 829, 79, 284, 1156, 2310, 505, 280, 1524, 6221, 944, 32, 13478, 24827, 265, 3973, 2993, 284, 1156, 2077, 505, 262, 280, 313, 21181, 104, 37, 20, 284, 1156, 17583, 505, 262, 280, 428, 440, 108, 580, 14885, 392, 313, 108, 580, 14885, 50, 6974, 92, 2200, 32, 13478, 3830, 284, 506, 9645, 81, 21589, 280, 540, 20879, 599, 2125, 5487, 1411, 347, 371, 1342, 9599, 40708, 1563, 12456, 48, 6603, 2874, 9599, 855, 599, 6457, 284, 41799, 81, 21589, 280, 540, 20879, 98, 443, 347, 4018, 31, 1786, 1342, 2008, 1563, 12456, 46, 6155, 2874, 2008, 855, 98, 772, 98, 443, 347, 4018, 31, 20880, 1342, 83, 976, 347, 13157, 29, 10228, 13469, 284, 665, 24827, 26, 784, 30, 3619, 761, 711, 291, 630, 32, 916, 280, 630, 32, 944, 26, 978, 761, 32, 965, 30, 9843, 47, 1815, 27, 291, 415, 316, 32, 2872, 26, 784, 3667, 5607, 7642, 3619, 761, 32, 965, 547, 1363, 26, 35, 27, 610, 313, 47661, 108, 3795, 563, 324, 345, 280, 316, 32, 1903, 26, 784, 32, 19856, 81, 21589, 30, 630, 32, 916, 27, 324, 415, 345, 44, 400, 630, 32, 11400, 32, 8233, 26, 95, 32, 1363, 26, 35, 547, 2998, 1157, 291, 813, 44, 324, 345, 280, 316, 32, 32852, 26, 784, 32, 11238, 81, 21589, 30, 630, 32, 916, 27, 324, 415, 345, 44, 400, 14227, 318, 81, 470, 280, 739, 26, 784, 32, 21455, 463, 3985, 3663, 265, 1814, 2998, 44868, 2847, 400, 630, 32, 11400, 32, 8233, 26, 106, 77, 35, 79, 436, 816, 328, 345, 415, 816, 77, 34, 79, 328, 14227, 318, 81, 470, 27, 400, 415, 646, 630, 32, 11400, 44, 528, 10302, 81, 470, 280, 739, 26, 784, 32, 21455, 463, 30035, 3663, 265, 1814, 2998, 44868, 2847, 528, 630, 32, 11400, 32, 8233, 26, 106, 77, 35, 79, 436, 816, 328, 345, 415, 816, 77, 34, 79, 646, 328, 10302, 81, 470 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 4, 6, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 5, 5, 8, 8, 8, 8, 6, 6, 6, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 5, 5, 8, 8, 8, 8, 6, 6, 6, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 4, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 10, 11, 10, 12, 11, 12, 12, 10, 12, 11, 12, 10, 9, 8, 9, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 10, 11, 10, 12, 11, 12, 12, 12, 10, 10, 11, 12, 10, 6, 6, 7, 7, 7, 7, 12, 13, 11, 12, 11, 16, 15, 16, 15, 16, 15, 14, 13, 5, 5, 6, 6, 6, 9, 9, 11, 12, 11, 13, 12, 13, 13, 13, 11, 11, 12, 13, 11, 7, 7, 8, 8, 8, 8, 12, 12, 12, 11, 11, 13, 18, 17, 18, 17, 19, 19, 19, 19, 16, 15, 17, 9, 9, 13, 14, 12, 13, 12, 14, 13, 14, 13, 12, 13, 13, 13, 12, 13, 15, 16, 15, 14, 14, 15, 15, 15, 12, 9, 9, 10, 11, 12, 13, 10, 10, 10, 14, 14, 13, 13, 15, 20, 19, 20, 19, 21, 21, 21, 21, 18, 17, 19, 11, 11, 15, 16, 14, 15, 14, 16, 15, 16, 15, 14, 15, 15, 15, 14, 15, 17, 18, 17, 16, 16, 16, 17, 17 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 6, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 2, 2, 1, 1, 1, 2, 5, 5, 5, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 2, 2, 1, 1, 1, 2, 7, 7, 7, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 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, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 10, 2, 1, 2, 2, 3, 2, 10, 10, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 3, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 3, 3, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 3, 0, 2, 0, 1, 1, 2, 2, 2, 1, 3, 3, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 3, 0, 2, 0, 1, 1, 1, 2, 2 ]
[ 465, 6436, 619, 2065, 203, 1070, 13134, 32, 24260, 1188, 31950, 25263, 299, 43651, 203, 1070, 13134, 1188, 8607, 203, 1070, 13134, 32, 10495, 81, 6460, 1188, 5683, 81, 858, 81, 2998, 203, 1070, 5564, 1369, 5567, 708, 32, 11382, 81, 605, 81, 6385, 1188, 17422, 21956, 203, 823, 17115, 367, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 706, 81, 6385, 47, 2521, 711, 291, 415, 706, 81, 6385, 438, 1665, 44, 324, 630, 32, 605, 81, 6385, 280, 17422, 21956, 346, 291, 813, 44, 324, 630, 32, 605, 81, 6385, 280, 706, 81, 6385, 284, 665, 1487, 81, 363, 81, 9356, 81, 8708, 81, 15847, 26, 784, 30, 1760, 30, 5359, 30, 1760, 81, 5905, 30, 10000, 1760, 81, 3631, 30, 1542, 81, 5138, 711, 291, 5063, 81, 1977, 30, 617, 280, 7084, 81, 10095, 81, 1793, 81, 6009, 26, 1977, 27, 291, 5063, 81, 5905, 30, 617, 280, 7084, 81, 10095, 81, 1793, 81, 6009, 26, 5905, 27, 291, 1760, 81, 5905, 30, 225, 617, 280, 7084, 81, 10095, 81, 1793, 81, 6009, 26, 1977, 81, 5905, 27, 291, 1542, 30, 14222, 280, 5683, 81, 1160, 26, 6008, 81, 1977, 30, 5063, 81, 5905, 30, 8479, 1542, 81, 5138, 30, 225, 34, 32, 36, 27, 291, 16861, 280, 1542, 32, 9356, 26, 1977, 81, 5905, 27, 291, 14222, 81, 955, 280, 428, 15924, 79, 319, 16861, 32, 3229, 77, 34, 79, 291, 442, 8529, 26, 1977, 81, 3631, 30, 16861, 30, 14222, 81, 955, 27, 284, 665, 1487, 81, 363, 81, 9356, 81, 8708, 26, 784, 30, 2467, 30, 2677, 30, 2787, 81, 6057, 30, 9111, 1760, 81, 1217, 30, 1542, 81, 2132, 30, 9111, 804, 81, 748, 1057, 6821, 9605, 81, 314, 7831, 291, 2803, 280, 3447, 1113, 1217, 563, 1760, 81, 1217, 30, 1750, 313, 314, 81, 748, 563, 804, 81, 748, 111, 291, 308, 1977, 30, 5359, 30, 1760, 81, 6009, 30, 324, 2787, 81, 23013, 27, 280, 630, 32, 6008, 81, 605, 26, 1217, 30, 2677, 30, 2787, 81, 6057, 27, 291, 1542, 30, 14222, 280, 5683, 81, 1160, 26, 1977, 30, 5359, 30, 1542, 81, 2132, 30, 225, 34, 32, 36, 27, 291, 1056, 280, 630, 32, 9356, 81, 8708, 26, 1160, 30, 2787, 81, 6057, 30, 1760, 81, 1217, 30, 8479, 2787, 81, 23013, 27, 291, 14222, 81, 955, 280, 428, 15924, 79, 319, 1056, 32, 3229, 77, 34, 79, 291, 2698, 314, 280, 630, 32, 605, 81, 6385, 32, 371, 81, 44655, 81, 605, 26, 2132, 27, 291, 5881, 291, 2698, 314, 280, 39228, 3631, 950, 428, 36, 32, 43, 30, 225, 38, 32, 43, 30, 225, 38, 30, 225, 39, 30, 225, 40, 6653, 79, 291, 5881, 291, 442, 8529, 26, 643, 314, 77, 34, 5795, 3631, 2188, 1056, 30, 14222, 81, 955, 27, 284, 665, 10618, 81, 8708, 26, 784, 30, 1542, 30, 2787, 81, 6057, 30, 1760, 81, 1217, 30, 715, 2787, 81, 23013, 711, 291, 5254, 81, 891, 280, 225, 35, 34, 34, 34, 291, 2803, 280, 3447, 1113, 1217, 563, 1760, 81, 1217, 30, 1750 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 7, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 10, 5, 5, 6, 6, 6, 10, 11, 11, 11, 9, 9, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 8, 8, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 4, 4, 8, 8, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 4, 4, 8, 8, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 8, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 8, 7, 7, 9, 10, 8, 9, 8, 4, 4, 5, 7, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 3, 3, 6, 6, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 9, 9, 7, 4, 4, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 8, 8, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 9, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 8, 7, 7, 9, 10, 8, 9, 8, 4, 4, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 10, 10, 9, 10, 9, 10, 10, 7, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 6, 6, 10, 10, 10, 8, 9, 9, 7, 7 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 4, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 2, 9, 9, 2, 2, 11, 11, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 2, 9, 9, 2, 2, 11, 11, 2, 2, 2, 0, 0, 13, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 4, 4, 1, 0, 0, 0, 0, 5, 5, 0, 0, 0, 7, 7, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 7, 7, 1, 4, 4, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 5, 5, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 9, 9, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2 ]
[ 465, 316, 203, 589, 6122, 81, 8478, 26, 983, 711, 334, 6339, 280, 1519, 32, 2998, 32087, 334, 442, 428, 85, 436, 281, 328, 6339, 415, 281, 79, 203, 589, 16469, 81, 2011, 26, 983, 711, 334, 316, 81, 2425, 280, 316, 32, 6993, 26, 100, 20, 80, 33581, 23498, 334, 1519, 81, 3527, 280, 428, 268, 81, 2425, 32, 1113, 13961, 918, 27, 436, 918, 328, 1519, 32, 2998, 4207, 3830, 334, 1519, 466, 280, 2430, 2296, 2524, 26, 983, 81, 3527, 27, 334, 442, 1519, 466, 203, 589, 3345, 81, 2135, 26, 983, 711, 334, 6339, 280, 1519, 32, 2998, 32087, 334, 2401, 280, 6339, 32, 3235, 346, 334, 5202, 280, 2430, 2296, 2524, 26, 3527, 27, 334, 442, 308, 4254, 30, 2401, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 5, 4, 5, 5, 5, 4, 5, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 8, 8, 8, 7, 8, 7, 7, 7, 5, 6, 6, 6, 8, 9, 8, 10, 2, 2, 5, 4, 4, 8, 7, 6, 7, 7, 7, 6, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 8, 7, 6, 7, 6, 2, 2, 3, 5, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 2, 2, 2, 1, 3, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 4, 4, 3, 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 ]