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

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
depths
listlengths
512
512
sibling_idxs
listlengths
512
512
[ 465, 1619, 1356, 203, 465, 2322, 32, 983, 203, 465, 5237, 203, 465, 8529, 761, 203, 1070, 1561, 32, 1297, 81, 19654, 81, 4280, 81, 1356, 1188, 1933, 81, 5366, 81, 452, 81, 3969, 203, 1070, 1561, 32, 1297, 81, 19654, 81, 4280, 81, 1356, 1188, 1933, 81, 3969, 81, 452, 81, 3969, 203, 589, 2575, 2262, 334, 1688, 81, 3969, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 33115, 1026, 5237, 32, 6118, 77, 35, 1130, 334, 1509, 81, 2536, 280, 8594, 26, 3731, 32, 6118, 77, 36, 19572, 334, 623, 1619, 1356, 32, 21664, 26, 397, 8529, 761, 32, 13567, 974, 26, 2024, 81, 3969, 30, 313, 105, 392, 8529, 761, 32, 29612, 81, 852, 3314, 8149, 490, 619, 1688, 81, 3969, 44, 284, 665, 617, 12944, 26, 983, 711, 397, 442, 1519, 77, 36, 10056, 415, 1519, 32, 15990, 12004, 657, 813, 1519, 284, 436, 1509, 81, 761, 328, 1509, 81, 2536, 44, 397, 415, 1509, 81, 761, 32, 20643, 5791, 5366, 10280, 291, 1933, 81, 5366, 81, 452, 81, 3969, 26, 2024, 81, 3969, 30, 1509, 81, 761, 30, 617, 12944, 27, 397, 4348, 1509, 81, 761, 32, 20643, 5791, 3969, 10280, 291, 1933, 81, 3969, 81, 452, 81, 3969, 26, 2024, 81, 3969, 30, 1509, 81, 761, 30, 617, 12944, 27, 397, 813, 44, 291, 3636, 3268, 440, 6876, 13600, 827, 25937, 101, 21328, 904, 1509, 81, 761, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 334, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 9, 8, 9, 8, 6, 8, 9, 7, 8, 7, 2, 2, 5, 5, 4, 4, 6, 9, 8, 9, 7, 9, 8, 2, 2, 3, 9, 8, 9, 8, 8, 8, 11, 10, 11, 11, 10, 11, 11, 11, 10, 10, 12, 12, 10, 12, 11, 12, 12, 12, 12, 12, 10, 6, 6, 8, 8, 3, 3, 3, 5, 6, 6, 7, 6, 5, 5, 7, 9, 11, 10, 8, 8, 10, 11, 10, 12, 8, 8, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 7, 10, 10, 9, 10, 9, 11, 11, 7, 7, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 11, 11, 12, 12, 11, 11, 12, 11, 7, 7, 8, 11, 11, 10, 11, 10, 12, 12, 8, 8, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 12, 12, 13, 13, 12, 12, 13, 12, 7, 7, 8, 8, 8, 10, 12, 15, 15, 15, 15, 15, 16, 13, 13, 14, 14, 12, 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 ]
[ 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 2, 6, 6, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 3, 2, 3, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 4, 4, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 5, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 0, 0, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 0, 0, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 605, 280, 308, 203, 25, 89, 4679, 87, 2441, 370, 262, 203, 25, 89, 4679, 87, 15771, 370, 262, 203, 25, 89, 4679, 42418, 98, 370, 262, 203, 25, 89, 4679, 42418, 90, 370, 262, 203, 25, 89, 4679, 87, 418, 370, 262, 203, 25, 89, 4679, 87, 906, 370, 262, 203, 25, 89, 4679, 87, 12133, 370, 262, 203, 25, 89, 4679, 26284, 370, 262, 203, 25, 89, 4679, 87, 13500, 370, 262, 203, 25, 89, 4679, 87, 788, 370, 262, 203, 25, 89, 4679, 17762, 92, 370, 262, 203, 25, 89, 4679, 87, 542, 370, 262, 203, 25, 89, 4679, 87, 1253, 370, 262, 203, 25, 89, 4679, 87, 366, 370, 262, 203, 25, 89, 4679, 87, 520, 370, 262, 203, 25, 89, 4679, 87, 6875, 370, 262, 203, 25, 89, 4679, 87, 370, 262, 203, 25, 89, 4679, 4192, 370, 262, 203, 25, 89, 4679, 21280, 370, 262, 203, 25, 89, 4679, 4192, 101, 370, 262, 203, 25, 89, 4679, 272, 370, 262, 203, 25, 89, 4679, 272, 92, 370, 262, 203, 25, 89, 4679, 46644, 370, 262, 203, 25, 89, 4679, 318, 370, 262, 203, 25, 89, 4679, 342, 370, 262, 203, 25, 89, 4679, 342, 89, 370, 262, 203, 25, 89, 4679, 19692, 370, 262, 203, 25, 89, 4679, 342, 84, 370, 262, 203, 25, 89, 4679, 9859, 370, 262, 203, 25, 89, 4679, 13166, 370, 262, 203, 25, 89, 4679, 342, 98, 370, 262, 203, 25, 89, 4679, 342, 90, 370, 262, 203, 25, 89, 4679, 405, 370, 262, 203, 25, 89, 4679, 872, 370, 262, 203, 25, 89, 4679, 40861, 370, 262, 203, 25, 89, 4679, 307, 370, 262, 203, 25, 89, 4679, 503, 370, 262, 203, 25, 89, 4679, 819, 370, 262, 203, 25, 89, 4679, 17824, 370, 262, 203, 25, 89, 4679, 735, 370, 262, 203, 25, 89, 4679, 3748, 370, 262, 203, 25, 89, 4679, 364, 370, 262, 203, 25, 89, 4679, 929, 370, 262, 203, 25, 89, 4679, 13849, 370, 262, 203, 25, 89, 1704, 370, 262, 203, 25, 6453, 817, 370, 262, 203, 25, 6453, 29469, 370, 262, 203, 25, 6453, 817, 101, 370, 262, 203, 25, 6453, 267, 370, 262, 203, 25, 6453, 267, 92, 370, 262, 203, 25, 6453, 267, 90, 370, 262, 203, 25, 6453, 431, 370, 262, 203, 25, 6453, 362, 370, 262, 203, 25, 6453, 27573, 370, 262, 203, 25, 6453, 362, 95, 370, 262, 203, 25, 6453, 362, 84, 370, 262, 203, 25, 6453, 2441, 370, 262, 203, 25, 6453, 15771, 370, 262, 203, 25, 6453, 362, 98, 370, 262, 203, 25, 6453, 362, 90, 370, 262, 203, 25, 6453, 418, 370, 262, 203, 25, 6453, 906, 370, 262, 203, 25, 6453, 12133, 370, 262, 203, 25, 6453, 500, 370, 262, 203, 25, 89, 1704, 422, 370, 262, 203, 25, 6453, 788, 370, 262, 203, 25, 89, 1704, 92, 370, 262, 203, 25, 6453, 542, 370, 262, 203, 25, 6453, 1253, 370, 262, 203, 25, 6453, 366, 370, 262, 203, 25, 6453, 520, 370, 262, 203, 25, 89, 1704, 90, 370, 262, 203, 25 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 2, 2, 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, 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, 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, 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, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 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, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5 ]
[ 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0 ]
[ 465, 2322, 203, 465, 11685, 203, 1070, 13625, 1188, 18609, 30, 33953, 203, 1070, 8527, 32, 7491, 1188, 11550, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 203, 1070, 8527, 32, 2304, 1188, 456, 2947, 81, 2613, 203, 1070, 8527, 32, 2304, 1114, 500, 1188, 973, 550, 203, 1070, 8527, 32, 2304, 32, 44136, 1188, 26396, 383, 36115, 36, 34, 5711, 203, 1070, 8527, 32, 2304, 32, 18651, 1188, 10814, 81, 2433, 203, 1070, 8527, 32, 2304, 32, 1647, 81, 6696, 1188, 1188, 81, 800, 203, 823, 8073, 3442, 3711, 924, 26, 37035, 462, 631, 30096, 711, 284, 3097, 203, 823, 10073, 1972, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 12877, 47, 2521, 711, 291, 630, 1114, 8881, 280, 12877, 291, 630, 1114, 40657, 280, 2149, 284, 477, 10569, 81, 2433, 284, 665, 12877, 26, 784, 711, 291, 415, 630, 1114, 8881, 438, 1665, 44, 324, 630, 1114, 8881, 280, 4070, 32, 10115, 22368, 940, 291, 415, 646, 630, 1114, 8881, 44, 324, 11685, 32, 8447, 26, 400, 313, 4282, 14562, 1330, 3417, 312, 394, 18693, 42793, 5748, 32, 2448, 2298, 745, 1259, 313, 400, 313, 5553, 32574, 372, 18297, 225, 36, 32, 34, 32, 12779, 18297, 1098, 526, 313, 400, 313, 23905, 372, 2454, 12877, 4414, 26396, 383, 36115, 36, 34, 5711, 27, 324, 630, 1114, 8881, 280, 428, 400, 301, 528, 330, 36190, 950, 330, 11025, 32, 2387, 32, 11514, 32, 11025, 32, 36115, 15565, 370, 528, 330, 31254, 950, 4070, 32, 17143, 81, 31254, 30, 528, 330, 15979, 950, 301, 715, 330, 11327, 81, 1017, 81, 32071, 950, 4070, 32, 33891, 81, 8569, 81, 7789, 69, 30, 715, 330, 1819, 81, 24715, 950, 4070, 32, 17143, 81, 13952, 81, 17222, 6535, 30, 715, 330, 2811, 950, 4070, 32, 17143, 81, 2897, 30, 715, 330, 38150, 950, 4070, 32, 17143, 81, 5696, 9135, 30, 715, 330, 800, 81, 325, 81, 5790, 950, 4070, 32, 17143, 81, 5203, 81, 2952, 81, 8606, 30, 528, 801, 400, 801, 324, 1481, 291, 12877, 280, 33953, 346, 291, 436, 38165, 328, 630, 1114, 8881, 44, 324, 38165, 280, 38165, 32, 2991, 346, 324, 1596, 44, 400, 1244, 81, 426, 280, 38165, 710, 36190, 5695, 100, 2998, 39054, 225, 36, 5594, 31, 36, 79, 324, 2940, 3268, 44, 400, 5535, 81, 7878, 280, 38165, 32, 371, 463, 36190, 370, 4145, 1206, 3417, 22639, 400, 3636, 19444, 462, 631, 30096, 26, 528, 313, 3817, 34503, 3285, 436, 312, 3079, 6863, 44, 2149, 32, 3456, 313, 528, 313, 8761, 394, 18693, 42793, 5748, 35145, 1643, 26, 5790, 81, 7878, 490, 324, 38165, 32, 37329, 463, 2474, 370, 1244, 81, 426, 27, 324, 38165, 32, 37329, 463, 31254, 370, 11544, 324, 38165, 32, 37329, 463, 6870, 81, 31254, 370, 3177, 27, 324, 38165, 32, 37329, 463, 15979, 370, 12797, 324, 12877, 77, 13608, 710, 2474, 18038, 280, 38165, 291, 15172, 280, 18609, 26, 668, 26, 8881, 490, 291, 27431, 280, 428, 7909, 436, 8813, 30, 2385, 328, 15172, 32, 7320, 81, 2282, 346, 415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 5, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 7, 7, 6, 6, 6, 10, 11, 9, 9, 10, 11, 11, 11, 5, 5, 6, 7, 8, 9, 6, 6, 6, 10, 11, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 10, 11, 11, 11, 11, 11, 10, 7, 7, 10, 11, 9, 9, 10, 10, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 14, 14, 12, 13, 14, 14, 14, 11, 11, 11, 14, 14, 12, 13, 13, 16, 16, 16, 16, 16, 16, 14, 15, 16, 16, 16, 16, 16, 16, 13, 13, 13, 16, 16, 16, 16, 14, 15, 16, 16, 16, 16, 16, 16, 13, 13, 13, 16, 16, 14, 15, 16, 16, 16, 13, 13, 13, 16, 16, 14, 15, 16, 16, 16, 16, 13, 13, 13, 16, 16, 16, 16, 16, 16, 14, 15, 16, 16, 16, 16, 16, 16, 16, 13, 13, 13, 11, 11, 10, 10, 5, 5, 7, 7, 9, 5, 5, 6, 6, 6, 7, 8, 6, 6, 6, 9, 9, 11, 12, 11, 7, 7, 8, 8, 8, 12, 12, 11, 11, 15, 17, 17, 15, 15, 14, 14, 15, 14, 13, 14, 12, 8, 8, 9, 9, 9, 9, 13, 13, 12, 12, 14, 15, 14, 16, 16, 14, 16, 16, 16, 10, 10, 11, 13, 13, 13, 13, 13, 13, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 18, 18, 18, 18, 18, 18, 16, 15, 16, 16, 16, 15, 7, 7, 10, 11, 10, 12, 12, 10, 11, 11, 10, 7, 7, 10, 11, 10, 12, 12, 10, 7, 7, 10, 11, 10, 12, 12, 12, 12, 10, 10, 7, 7, 10, 11, 10, 12, 12, 10, 7, 7, 10, 12, 11, 13, 13, 9, 9, 5, 5, 7, 7, 9, 11, 11, 12, 11, 5, 5, 7, 7, 9, 8, 9, 10, 10, 9, 9, 11, 12, 12, 12, 11, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 4, 4, 10, 10, 0, 0, 0, 11, 11, 1, 1, 1, 2, 1, 1, 1, 1, 2, 11, 11, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 3, 3, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 4, 4, 0, 0, 1, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 0, 0, 0, 2, 1, 5, 5, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 1, 2, 1, 2, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 2, 1, 3, 3, 1, 5, 5, 0, 2, 1, 1, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 2, 1, 1, 5, 5, 0, 2, 1, 1, 2, 1, 5, 5, 0, 0, 2, 1, 2, 0, 0, 4, 4, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2 ]
[ 465, 5741, 203, 1070, 2234, 27067, 1188, 33830, 203, 1070, 309, 2794, 1299, 1188, 309, 2794, 1299, 203, 823, 26310, 265, 459, 30264, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 711, 291, 630, 32, 426, 280, 636, 284, 665, 5657, 26, 784, 711, 291, 630, 32, 311, 1803, 325, 318, 3354, 280, 1605, 291, 630, 32, 2810, 280, 1605, 291, 630, 32, 687, 14762, 280, 1605, 203, 589, 617, 687, 730, 81, 1055, 26, 687, 730, 711, 284, 636, 81, 7711, 280, 301, 291, 330, 3462, 31, 417, 31, 31532, 31, 101, 6145, 950, 225, 34, 30, 291, 330, 1393, 31, 1746, 31, 31532, 31, 101, 6145, 287, 3153, 950, 301, 324, 309, 2794, 1299, 32, 3127, 271, 44, 225, 35, 30, 324, 309, 2794, 1299, 32, 1001, 48391, 44, 225, 36, 30, 324, 1665, 44, 225, 37, 291, 801, 291, 330, 1393, 31, 1746, 31, 31532, 31, 101, 6145, 287, 7354, 950, 301, 324, 309, 2794, 1299, 32, 1873, 44, 225, 38, 30, 324, 309, 2794, 1299, 32, 990, 44, 225, 39, 30, 324, 1665, 44, 225, 37, 30, 291, 801, 291, 330, 1393, 31, 1746, 31, 1363, 31, 101, 6145, 287, 3153, 950, 301, 324, 309, 2794, 1299, 32, 3127, 271, 1564, 44, 225, 40, 30, 324, 309, 2794, 1299, 32, 1001, 48391, 1564, 44, 225, 41, 30, 324, 1665, 44, 225, 42, 30, 291, 801, 291, 330, 1393, 31, 1746, 31, 1363, 31, 101, 6145, 287, 7354, 950, 301, 324, 309, 2794, 1299, 32, 1873, 44, 225, 43, 30, 324, 309, 2794, 1299, 32, 990, 44, 225, 35, 34, 30, 324, 1665, 44, 429, 35, 30, 291, 801, 291, 330, 1363, 31, 101, 6145, 287, 34647, 31, 800, 950, 225, 35, 35, 30, 291, 330, 27378, 31, 20427, 950, 225, 35, 36, 30, 291, 330, 5275, 31, 101, 6145, 950, 225, 35, 37, 30, 291, 330, 5275, 31, 24811, 950, 225, 35, 38, 30, 291, 330, 3462, 31, 417, 31, 13944, 10266, 942, 31, 101, 6145, 950, 225, 35, 39, 30, 291, 330, 7523, 31, 1473, 31, 13944, 10266, 942, 31, 101, 6145, 950, 225, 35, 40, 30, 291, 330, 2969, 265, 950, 225, 35, 41, 30, 284, 320, 284, 595, 280, 636, 81, 7711, 32, 371, 26, 687, 730, 32, 426, 30, 429, 35, 27, 284, 1596, 44, 291, 442, 629, 26, 91, 27, 284, 2940, 308, 18082, 30, 10091, 711, 291, 1596, 44, 324, 1541, 280, 1340, 730, 32, 8299, 77, 34, 79, 324, 442, 595, 77, 1251, 79, 291, 2940, 25085, 44, 324, 442, 595, 77, 2521, 79, 203, 823, 26310, 265, 459, 8331, 3009, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 4332, 1125, 8331, 3009, 346, 291, 630, 32, 4534, 346, 284, 665, 46314, 8331, 3009, 26, 784, 711, 291, 630, 32, 1380, 3009, 280, 1605, 291, 630, 32, 1380, 3009, 1454, 428, 34956, 459, 30264, 463, 7881, 2772, 40380, 3210, 12357, 291, 630, 32, 1380, 3009, 1454, 428, 34956, 459, 30264, 463, 3155, 9146, 12633, 271, 40380, 3210, 12357, 291, 630, 32, 1380, 3009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 9, 10, 10, 8, 8, 9, 7, 7, 7, 10, 10, 9, 10, 10, 8, 8, 9, 7, 7, 7, 8, 8, 9, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 9, 10, 8, 8, 9, 7, 7, 7, 10, 10, 9, 10, 8, 8, 9, 7, 7, 7, 8, 8, 9, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 9, 10, 10, 10, 8, 8, 9, 7, 7, 7, 10, 10, 9, 10, 10, 10, 8, 8, 9, 7, 7, 7, 8, 8, 9, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 9, 10, 8, 8, 9, 7, 7, 7, 10, 10, 9, 10, 8, 8, 9, 9, 7, 7, 7, 8, 8, 10, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 6, 7, 7, 5, 5, 5, 2, 2, 4, 4, 7, 7, 6, 7, 6, 8, 8, 7, 8, 6, 6, 8, 6, 2, 2, 3, 3, 3, 5, 7, 8, 7, 3, 3, 4, 6, 5, 5, 5, 4, 4, 6, 6, 6, 9, 9, 12, 11, 12, 10, 11, 10, 7, 7, 8, 9, 10, 9, 6, 6, 7, 7, 7, 7, 9, 10, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 9, 9, 9, 9, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 6, 6, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 3, 3, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 3, 3, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 3, 3, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 3, 3, 2, 2, 2, 2, 2, 5, 5, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 2, 2, 2, 2, 2, 1, 1, 1, 2, 13, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 15, 2, 2, 2, 2, 2, 1, 1, 1, 2, 17, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 19, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 21, 2, 2, 2, 2, 2, 1, 1, 2, 23, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 4, 4, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 3, 3, 3, 3, 0, 1, 2, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2 ]
[ 465, 5237, 203, 465, 2322, 203, 465, 29590, 203, 465, 15798, 619, 632, 203, 1070, 2914, 757, 101, 32, 2518, 32, 913, 1298, 1188, 622, 81, 2121, 81, 869, 203, 8795, 81, 5766, 347, 1010, 334, 43552, 13494, 334, 15593, 308, 363, 1420, 299, 27, 8080, 757, 101, 7171, 688, 32061, 4065, 2305, 334, 322, 1519, 372, 322, 2663, 8080, 757, 101, 3362, 308, 2767, 2914, 757, 101, 32, 978, 736, 12804, 547, 334, 2616, 2280, 30, 328, 11759, 30, 312, 9073, 4166, 2268, 2779, 2124, 284, 4166, 32061, 4065, 9178, 1179, 33, 1617, 334, 623, 322, 2417, 15732, 328, 36808, 32, 334, 43552, 13494, 203, 2993, 203, 1270, 44, 284, 645, 2914, 757, 101, 32, 858, 1188, 894, 81, 1040, 619, 21928, 203, 7343, 29986, 44, 284, 1459, 440, 11394, 1188, 330, 858, 81, 1040, 25, 645, 2652, 330, 858, 7362, 474, 6886, 81, 5766, 27, 284, 4323, 26, 35, 27, 203, 823, 2108, 35, 26, 71, 32, 7233, 711, 284, 665, 894, 35, 83, 81, 2988, 81, 3893, 26, 784, 711, 291, 273, 2076, 280, 313, 4266, 20, 291, 1596, 44, 324, 1137, 280, 1665, 324, 3636, 21928, 32, 1006, 924, 26, 102, 2076, 27, 291, 2940, 21928, 32, 1006, 924, 619, 484, 44, 324, 2642, 1872, 280, 484, 32, 853, 291, 630, 32, 5299, 26, 405, 1872, 30, 273, 2076, 30, 324, 313, 1691, 12466, 2108, 924, 44, 485, 6132, 100, 484, 6132, 100, 20, 904, 308, 405, 1872, 30, 273, 2076, 490, 284, 665, 894, 35, 84, 81, 2076, 81, 23575, 81, 16780, 26, 784, 711, 291, 485, 30, 87, 280, 313, 9294, 458, 392, 313, 3140, 688, 20, 291, 345, 30, 98, 280, 313, 8761, 1474, 2442, 392, 313, 98, 5185, 20, 291, 273, 2076, 34, 280, 345, 474, 2706, 96, 4377, 1179, 9294, 6078, 20, 474, 485, 474, 766, 324, 5335, 78, 96, 2799, 6078, 20, 474, 484, 34441, 7362, 291, 273, 2076, 35, 280, 298, 474, 10685, 313, 474, 273, 2076, 34, 291, 630, 32, 5299, 26, 13388, 32, 2076, 26, 89, 30, 87, 30, 95, 471, 273, 2076, 34, 30, 313, 3780, 31, 4254, 1474, 657, 291, 630, 32, 5299, 26, 13388, 32, 2076, 26, 89, 30, 87, 30, 95, 30, 98, 471, 273, 2076, 35, 30, 313, 4254, 1474, 657, 203, 823, 2108, 36, 26, 71, 32, 7233, 711, 284, 665, 894, 36, 83, 81, 1819, 81, 15796, 81, 35382, 26, 784, 711, 291, 484, 280, 2322, 32, 983, 32, 15705, 4064, 761, 25566, 38848, 5791, 331, 657, 31509, 485, 280, 2322, 32, 983, 32, 15705, 26, 13388, 1114, 22485, 81, 1819, 8532, 34, 8492, 38848, 463, 331, 683, 291, 630, 32, 5299, 26, 89, 30, 87, 30, 21928, 32, 2076, 26, 89, 30, 87, 30, 7286, 22485, 81, 1819, 2131, 284, 665, 894, 36, 84, 81, 3596, 1515, 26, 784, 711, 291, 2442, 280, 21928, 32, 3596, 1515, 473, 291, 485, 47, 13388, 32, 3596, 1515, 4064, 761, 8223, 291, 630, 32, 5299, 26, 89, 30, 2442, 30, 21928, 32, 2076, 26, 89, 30, 2442, 30, 313, 3596, 1515, 2131, 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, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 3, 5, 5, 4, 5, 3, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 2, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 6, 3, 3, 6, 7, 6, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 8, 4, 4, 5, 5, 5, 8, 8, 6, 6, 7, 9, 10, 10, 9, 10, 10, 9, 5, 5, 6, 8, 9, 9, 7, 7, 6, 6, 6, 10, 9, 9, 10, 11, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 9, 9, 7, 9, 9, 9, 4, 4, 7, 8, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 4, 4, 7, 7, 6, 6, 11, 11, 14, 13, 13, 13, 13, 13, 10, 10, 9, 9, 9, 9, 12, 12, 11, 11, 11, 8, 8, 7, 9, 4, 4, 7, 7, 6, 6, 8, 8, 10, 7, 7, 8, 8, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 10, 9, 10, 9, 7, 8, 8, 7, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 9, 10, 9, 10, 9, 10, 9, 7, 8, 8, 7, 7, 9, 9, 9, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 11, 12, 10, 11, 10, 11, 11, 9, 8, 10, 10, 4, 4, 6, 6, 11, 12, 10, 11, 10, 14, 13, 14, 14, 14, 13, 12, 11, 9, 8, 10, 10, 4, 4, 7, 8, 7, 8, 7, 8, 7, 7, 9, 10, 9, 10, 9, 10, 9, 9, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 4, 4, 6, 9, 8, 9, 9, 8, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 9, 10, 9, 10, 9, 9, 9, 9, 11, 11, 11, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 6, 6, 0, 0, 0, 1, 2, 0, 0, 0, 0, 3, 3, 6, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 0, 7, 7, 1, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 3, 3, 3, 0, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 2, 2, 3, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 3, 1, 5, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 1, 3, 3, 1, 1, 1, 1, 2, 0, 8, 8, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 3, 1, 1, 0, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4 ]
[ 1070, 1156, 9666, 505, 1188, 308, 1216, 81, 1126, 30, 15390, 81, 30839, 27, 203, 465, 2322, 203, 465, 20717, 203, 465, 45977, 203, 465, 11685, 203, 1270, 44, 284, 645, 3664, 1188, 15025, 81, 809, 619, 15105, 203, 7343, 29986, 44, 284, 645, 11638, 81, 3426, 1188, 15025, 81, 809, 619, 15105, 203, 465, 3363, 203, 1070, 3363, 1188, 13274, 464, 7642, 41689, 81, 2695, 30, 41689, 81, 7516, 30, 41689, 81, 3285, 27, 203, 1070, 19493, 1188, 516, 21737, 203, 505, 2559, 32095, 505, 280, 827, 203, 5807, 81, 8451, 81, 3364, 280, 225, 42, 319, 225, 35, 34, 36, 38, 261, 203, 823, 6575, 299, 2338, 924, 26, 2338, 924, 711, 284, 665, 1156, 1664, 3207, 784, 30, 19493, 30, 37516, 30, 7125, 81, 15557, 47, 34, 711, 291, 2599, 26, 2338, 924, 30, 630, 14585, 1664, 3207, 12864, 30, 37516, 27, 291, 415, 646, 6937, 26, 24646, 81, 15557, 30, 308, 410, 30, 1946, 8531, 324, 3636, 12678, 440, 24646, 81, 15557, 2298, 526, 312, 4991, 657, 291, 630, 32, 24646, 81, 15557, 280, 7125, 81, 15557, 203, 589, 2156, 26, 761, 30, 2926, 347, 100, 392, 3112, 299, 6593, 35, 30, 276, 7328, 47, 2521, 30, 3878, 47, 2521, 30, 276, 25521, 47, 2521, 30, 4230, 2995, 47, 1815, 711, 284, 540, 2993, 2961, 803, 461, 442, 312, 3443, 32, 225, 18828, 45338, 12683, 7829, 32, 284, 803, 438, 3154, 312, 1344, 556, 3432, 802, 21239, 322, 636, 308, 363, 322, 1519, 284, 415, 322, 803, 7735, 1330, 328, 322, 1550, 4740, 3362, 27, 432, 322, 803, 372, 284, 526, 13197, 556, 600, 4991, 803, 9866, 432, 322, 803, 372, 526, 284, 16283, 32, 308, 2797, 312, 803, 9866, 438, 2702, 30, 561, 438, 8777, 1412, 322, 284, 4717, 439, 33, 65, 1300, 438, 8777, 30, 7351, 4230, 2995, 438, 739, 372, 3177, 7447, 284, 2926, 438, 600, 5302, 802, 688, 15822, 322, 2926, 328, 1510, 322, 803, 284, 438, 13197, 32, 2030, 10071, 372, 330, 100, 25, 1510, 6058, 2156, 436, 9175, 328, 1344, 284, 2926, 32, 225, 7859, 4942, 2078, 884, 330, 105, 25, 436, 4127, 308, 28810, 1741, 322, 803, 415, 284, 561, 3425, 5375, 471, 461, 330, 83, 25, 436, 1123, 4013, 308, 7900, 544, 1629, 24977, 10737, 30, 284, 6058, 688, 1169, 19408, 5489, 372, 322, 943, 432, 322, 803, 23274, 432, 322, 284, 1550, 22848, 2747, 547, 701, 1344, 2926, 30, 415, 7328, 438, 646, 3191, 322, 284, 7328, 1654, 438, 5624, 20109, 32, 308, 1562, 9175, 461, 4127, 5081, 284, 3519, 793, 5298, 2926, 461, 11883, 7328, 22205, 7447, 886, 3304, 284, 19405, 884, 44, 284, 30389, 21416, 18487, 284, 15041, 27371, 299, 284, 36817, 9529, 12110, 284, 330, 100, 25, 958, 2156, 436, 9175, 308, 1536, 27, 284, 330, 105, 25, 958, 2156, 436, 4127, 30, 31373, 1741, 322, 803, 1932, 284, 330, 83, 25, 958, 2156, 436, 4127, 30, 1123, 4013, 372, 322, 943, 432, 322, 803, 415, 561, 5375, 284, 330, 84, 25, 958, 5298, 2926, 284, 330, 102, 25, 958, 1344, 2926, 308, 1536, 27, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 6, 6, 4, 4, 7, 7, 5, 5, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 4, 4, 4, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 4, 4, 5, 6, 8, 9, 9, 9, 8, 8, 10, 9, 9, 9, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 0, 1, 1, 2, 3, 2, 2, 3, 5, 5, 2, 4, 3, 5, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 3, 3, 5, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 6, 6, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 11, 11, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 12, 12, 2, 1, 2, 2, 3, 1, 2, 2, 0, 5, 1, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 2, 0, 13, 2, 2, 12, 12, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 823, 2756, 2554, 924, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 19493, 30, 37516, 280, 1665, 30, 3420, 426, 280, 1665, 711, 291, 630, 32, 12864, 280, 19493, 291, 630, 32, 466, 731, 280, 37516, 291, 630, 32, 1298, 426, 280, 3420, 426, 291, 3268, 3667, 1664, 3207, 784, 30, 19493, 30, 37516, 30, 3420, 426, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 415, 630, 32, 466, 731, 438, 1665, 44, 324, 1596, 44, 400, 1188, 8888, 37, 36, 1237, 400, 630, 32, 466, 731, 280, 8888, 37, 36, 1237, 32, 2207, 1175, 26, 784, 32, 12864, 547, 7201, 346, 324, 2940, 44, 400, 630, 32, 466, 731, 280, 313, 1347, 1048, 1474, 438, 3304, 20, 291, 442, 596, 26, 308, 784, 32, 12864, 30, 630, 32, 466, 731, 30, 630, 32, 1298, 426, 27, 829, 203, 823, 8287, 924, 26, 1296, 2554, 924, 711, 284, 3097, 203, 823, 15363, 924, 26, 1296, 2554, 924, 711, 284, 3097, 203, 823, 11540, 24929, 984, 26, 984, 711, 284, 3097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 6, 6, 5, 5, 5, 7, 7, 7, 9, 11, 11, 11, 8, 8, 11, 12, 12, 10, 10, 15, 15, 15, 14, 15, 15, 14, 16, 15, 16, 14, 13, 12, 7, 7, 8, 8, 8, 12, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 4, 4, 5, 7, 7, 10, 9, 10, 8, 8, 9, 10, 10, 8, 8, 9, 10, 10, 8, 7, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 7, 7, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 3, 3, 3, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 5, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 3, 3, 1, 1, 2, 1, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 203, 5280, 443, 436, 7896, 32, 225, 23148, 2154, 312, 9525, 438, 328, 312, 2297, 32, 203, 4391, 2790, 6366, 372, 3702, 44, 203, 429, 4417, 15601, 32, 452, 81, 754, 81, 1517, 81, 466, 346, 372, 4483, 312, 6538, 1991, 312, 4281, 664, 2287, 802, 372, 3097, 372, 4060, 32, 203, 429, 4417, 15601, 32, 452, 81, 754, 81, 5110, 81, 466, 346, 372, 4483, 312, 6538, 1991, 312, 1829, 16360, 664, 802, 372, 3097, 372, 4060, 32, 203, 383, 8409, 30, 3282, 4442, 1159, 312, 21982, 4091, 299, 432, 1665, 32, 203, 1562, 4630, 22948, 299, 5652, 30, 844, 1395, 1755, 1849, 372, 316, 9165, 203, 8681, 346, 461, 1156, 466, 505, 922, 203, 9592, 203, 465, 7515, 203, 823, 15601, 26, 1473, 711, 284, 5881, 435, 19437, 312, 6538, 432, 312, 33, 84, 308, 83, 963, 432, 323, 3390, 27, 284, 312, 461, 323, 2298, 526, 12738, 30, 1273, 646, 28746, 4991, 30, 623, 275, 34, 2511, 312, 2511, 323, 461, 323, 848, 225, 34, 32, 284, 15601, 883, 1755, 4042, 15601, 436, 7896, 2154, 688, 7410, 10568, 32, 225, 7859, 284, 7896, 308, 87, 32, 89, 32, 4159, 27, 1395, 442, 1665, 645, 622, 81, 6654, 922, 284, 4296, 44, 1015, 2604, 436, 2297, 827, 49, 225, 20683, 2608, 436, 309, 3303, 391, 20059, 32, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 312, 30, 323, 711, 291, 5881, 13614, 312, 15601, 1300, 32, 225, 312, 461, 323, 2298, 526, 7515, 30, 461, 2298, 1159, 3083, 34, 2511, 312, 2511, 323, 461, 323, 848, 225, 34, 291, 5881, 291, 415, 646, 308, 38003, 26, 83, 30, 7515, 32, 1918, 27, 461, 400, 6937, 26, 84, 30, 7515, 32, 1918, 8531, 324, 3636, 12678, 463, 83, 461, 323, 2298, 526, 7515, 32, 225, 447, 12158, 301, 34, 15117, 35, 16805, 1643, 26, 83, 30, 323, 490, 291, 415, 312, 848, 323, 44, 324, 312, 280, 323, 291, 415, 312, 333, 225, 34, 44, 324, 312, 280, 225, 34, 291, 415, 323, 2511, 225, 34, 44, 324, 3636, 10091, 463, 21284, 312, 33, 84, 280, 301, 34, 15117, 35, 111, 2298, 1159, 323, 848, 225, 34, 2473, 1643, 26, 83, 30, 323, 490, 291, 630, 1114, 83, 280, 312, 291, 630, 1114, 84, 280, 323, 284, 665, 33776, 26, 784, 711, 291, 5881, 2744, 8825, 308, 83, 30, 84, 27, 12681, 6538, 432, 312, 33, 84, 9592, 291, 442, 308, 784, 1114, 83, 30, 630, 1114, 84, 27, 284, 665, 13720, 26, 784, 711, 291, 5881, 3759, 312, 17722, 6538, 619, 312, 1897, 3733, 225, 34, 461, 225, 35, 34, 34, 32, 291, 22948, 299, 5997, 44, 7586, 328, 5955, 432, 33776, 1026, 22416, 37090, 291, 11056, 438, 3390, 821, 22335, 1133, 32, 291, 5881, 291, 308, 83, 30, 323, 27, 280, 630, 32, 8681, 346, 291, 442, 225, 35, 34, 34, 32, 34, 319, 312, 517, 323, 284, 665, 7307, 26, 784, 711, 291, 5881, 3759, 2933, 415, 18795, 279, 6538, 438, 10761, 2784, 225, 34, 32, 291, 22948, 299, 5997, 44, 7586, 328, 5955, 432, 33776 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 10, 10, 11, 10, 10, 11, 12, 10, 8, 8, 8, 10, 11, 10, 10, 11, 12, 10, 5, 5, 7, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 11, 11, 11, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 8, 9, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 11, 11, 11, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 8, 7, 7, 7, 6, 6, 8, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 7, 7, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 0, 2, 4, 4, 4, 1, 1, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 4, 4, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 1983, 542, 278, 3535, 203, 465, 5296, 203, 465, 7744, 203, 465, 298, 4614, 203, 465, 25630, 203, 823, 17101, 307, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 40854, 711, 291, 630, 32, 19333, 280, 40854, 291, 630, 32, 1489, 280, 225, 34, 106, 42, 34, 42, 34, 53, 34, 1139, 291, 630, 32, 90, 4446, 280, 1983, 542, 278, 3535, 32, 1215, 26, 2544, 47, 19333, 32, 8031, 32, 371, 81, 2388, 81, 1094, 1026, 10076, 81, 1489, 81, 13885, 47, 784, 32, 1489, 27, 291, 630, 32, 90, 4446, 32, 5729, 26, 2521, 27, 291, 630, 32, 104, 4446, 280, 1983, 542, 278, 3535, 32, 1215, 26, 2544, 47, 19333, 32, 8031, 32, 371, 81, 2388, 81, 1094, 1026, 10076, 81, 1489, 81, 13885, 47, 784, 32, 1489, 27, 291, 630, 32, 104, 4446, 32, 5729, 26, 2521, 27, 291, 630, 32, 5919, 280, 1605, 291, 5054, 92, 280, 630, 32, 19333, 32, 371, 81, 90, 13768, 469, 346, 291, 354, 16385, 280, 630, 32, 19333, 32, 371, 81, 104, 13768, 469, 346, 291, 665, 1974, 26, 16385, 711, 324, 415, 630, 32, 7891, 44, 400, 630, 32, 1877, 81, 1071, 346, 291, 5054, 92, 32, 3517, 440, 853, 31, 8968, 392, 1974, 27, 291, 354, 16385, 32, 3517, 440, 853, 31, 8968, 392, 1974, 27, 291, 5054, 92, 32, 3517, 440, 8968, 392, 1974, 27, 291, 354, 16385, 32, 3517, 440, 8968, 392, 1974, 27, 291, 630, 32, 7891, 280, 2933, 291, 630, 32, 1877, 81, 1071, 346, 284, 665, 739, 81, 7891, 26, 784, 30, 8702, 711, 291, 630, 32, 7891, 280, 8702, 291, 415, 630, 32, 7891, 44, 324, 630, 32, 90, 4446, 32, 2962, 32, 13488, 280, 1983, 542, 278, 3535, 32, 10941, 81, 18391, 324, 630, 32, 104, 4446, 32, 2962, 32, 13488, 280, 1983, 542, 278, 3535, 32, 10941, 81, 18391, 291, 813, 44, 324, 630, 32, 90, 4446, 32, 2962, 32, 13488, 280, 1983, 542, 278, 3535, 32, 10941, 81, 48471, 324, 630, 32, 104, 4446, 32, 2962, 32, 13488, 280, 1983, 542, 278, 3535, 32, 10941, 81, 48471, 324, 436, 2266, 328, 630, 32, 5919, 44, 400, 2266, 32, 2962, 32, 13488, 280, 1983, 542, 278, 3535, 32, 10941, 81, 48471, 284, 665, 617, 7924, 81, 507, 14684, 26, 784, 30, 34489, 30, 36300, 711, 291, 1201, 36300, 848, 34489, 291, 12211, 280, 36300, 429, 34489, 291, 1334, 280, 12211, 291, 310, 507, 280, 225, 39, 291, 1344, 81, 1644, 280, 12211, 33, 96, 507, 33, 36, 291, 665, 540, 410, 26, 106, 711, 324, 442, 7744, 32, 9121, 26, 106, 29, 34, 32, 39, 27, 291, 12211, 81, 1498, 81, 96, 507, 280, 12211, 517, 310, 507, 291, 436, 310, 328, 2155, 26, 39, 711, 4288, 273, 864, 280, 7744, 32, 751, 35, 34, 26, 4582, 81, 1498, 81, 96, 507, 27, 324, 4451, 280, 13106, 26, 35, 34, 30, 540, 410, 26, 102, 864, 490, 324, 415, 7744, 32, 34365, 26, 507, 33, 36, 429, 12211, 81, 1498, 81, 96, 507, 27, 333, 7744, 32, 34365 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 9, 9, 9, 8, 9, 8, 10, 9, 13, 12, 13, 11, 12, 12, 12, 12, 12, 11, 8, 10, 10, 10, 10, 9, 11, 10, 11, 8, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 9, 9, 9, 8, 9, 8, 10, 9, 13, 12, 13, 11, 12, 12, 12, 12, 12, 11, 8, 10, 10, 10, 10, 9, 11, 10, 11, 8, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 6, 7, 6, 5, 5, 7, 8, 9, 7, 7, 7, 11, 12, 12, 12, 11, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 7, 7, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 7, 7, 4, 4, 8, 7, 8, 7, 9, 9, 7, 7, 4, 4, 8, 7, 8, 7, 9, 9, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 6, 7, 5, 5, 5, 11, 12, 12, 10, 11, 9, 10, 8, 8, 10, 10, 10, 9, 10, 10, 10, 6, 6, 11, 12, 12, 10, 11, 9, 10, 8, 8, 10, 10, 10, 9, 10, 10, 10, 5, 5, 6, 6, 6, 12, 13, 13, 11, 12, 10, 11, 9, 9, 11, 11, 11, 10, 11, 11, 11, 7, 7, 12, 13, 13, 11, 12, 10, 11, 9, 9, 11, 11, 11, 10, 11, 11, 11, 7, 7, 8, 8, 8, 9, 10, 8, 8, 8, 13, 14, 12, 13, 11, 11, 13, 13, 13, 12, 13, 13, 13, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 4, 4, 6, 6, 7, 7, 4, 4, 6, 6, 4, 4, 7, 6, 6, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 7, 8, 4, 4, 5, 6, 6, 7, 6, 5, 5, 7, 9, 10, 9, 11, 10, 11, 11, 11, 9, 4, 4, 7, 7, 7, 7, 7, 6, 6, 7, 7, 8, 4, 4, 5, 5, 5, 7, 8, 7, 5, 5, 9, 8, 8, 10, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 10, 6, 6, 8, 8, 10, 11, 11, 10, 10, 12, 12, 13, 13, 12, 6, 6, 7, 10, 11, 10, 13, 12, 13, 11, 11, 12, 12, 12, 12, 12, 10, 8, 8, 10, 11 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 3, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 3, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 9, 2, 1, 2, 9, 9, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 4, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 5, 1, 2, 1, 2, 5, 5, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 7, 7, 7, 1, 1, 1, 7, 7, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 5, 5, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2 ]
[ 465, 29310, 203, 465, 2322, 203, 589, 617, 13232, 81, 15286, 26, 3617, 711, 284, 313, 1318, 1550, 4740, 3362, 3107, 284, 442, 2322, 32, 371, 17456, 1794, 346, 203, 589, 617, 13232, 81, 1473, 81, 2437, 26, 1298, 30, 2769, 30, 5601, 30, 310, 2437, 711, 284, 415, 5601, 438, 1665, 44, 291, 5601, 280, 310, 2437, 284, 1596, 44, 291, 2830, 280, 3420, 346, 284, 2940, 29310, 32, 731, 44, 291, 442, 4145, 1347, 904, 101, 6457, 904, 2769, 284, 415, 19326, 26, 2067, 30, 5601, 711, 291, 1056, 280, 18623, 26, 2067, 30, 5601, 27, 291, 415, 20695, 26, 1267, 711, 324, 1056, 280, 1056, 346, 291, 442, 1056, 284, 813, 44, 291, 442, 4145, 1347, 3879, 904, 101, 544, 1550, 904, 101, 6457, 904, 308, 2437, 30, 2769, 27, 203, 589, 617, 13232, 81, 1744, 26, 2437, 711, 284, 313, 1318, 4324, 3118, 45, 600, 2793, 4467, 312, 3118, 3395, 3107, 284, 442, 617, 13232, 81, 1473, 81, 2437, 26, 22665, 32, 4347, 81, 1744, 30, 330, 1744, 370, 5601, 30, 330, 426, 683, 203, 589, 617, 13232, 81, 3426, 26, 2437, 711, 284, 313, 1318, 4324, 3664, 45, 600, 2793, 4467, 312, 3664, 3395, 3107, 284, 442, 617, 13232, 81, 1473, 81, 2437, 26, 22665, 32, 4347, 81, 3426, 30, 330, 3426, 370, 5601, 30, 330, 1516, 683, 203, 589, 617, 13232, 81, 1648, 26, 2437, 711, 284, 313, 1318, 1503, 432, 570, 1996, 3107, 284, 442, 29310, 32, 4530, 203, 589, 617, 13232, 81, 19207, 26, 2437, 711, 284, 313, 1318, 44869, 5341, 3107, 284, 442, 3228, 34, 37, 37, 25, 203, 589, 617, 13232, 81, 3883, 26, 2437, 711, 284, 313, 51, 1751, 16227, 3107, 284, 442, 17276, 25, 203, 589, 617, 13232, 81, 96, 26, 2437, 711, 284, 313, 51, 25521, 3107, 284, 442, 3228, 96, 25, 203, 589, 617, 13232, 81, 100, 26, 2437, 711, 284, 313, 51, 6346, 39155, 442, 3107, 284, 442, 3228, 100, 25, 203, 589, 617, 13232, 81, 753, 26, 2437, 711, 284, 313, 51, 3395, 1182, 786, 45, 322, 2793, 4467, 322, 3395, 3107, 284, 442, 29310, 32, 5609, 26, 2437, 27, 203, 589, 617, 13232, 81, 10358, 10744, 81, 2409, 26, 2437, 711, 284, 313, 5942, 101, 312, 6613, 432, 2979, 31, 47404, 7125, 3107, 284, 442, 3228, 34, 34, 35, 25, 203, 589, 617, 13232, 81, 10358, 10744, 81, 416, 26, 2437, 711, 275, 313, 2102, 101, 312, 6613, 432, 2979, 31, 47404, 7125, 3107, 275, 442, 3228, 34, 34, 36, 25, 203, 13232, 81, 18114, 10364, 101, 280, 301, 284, 330, 87, 950, 617, 13232, 81, 19207, 30, 284, 17276, 950, 617, 13232, 81, 3883, 30, 284, 330, 96, 950, 617, 13232, 81, 96, 30, 284, 330, 100, 950, 617, 13232, 81, 100, 30, 284, 330, 104, 950, 617, 13232, 81, 1648, 30, 284, 330, 105, 950, 617, 13232, 81, 15286, 30, 284, 330, 88, 950, 617, 13232, 81, 1744, 30, 284, 330, 102, 950, 617, 13232, 81, 3426, 30, 284, 330, 98, 950, 617, 13232, 81, 753, 30, 284, 35075, 44, 617, 13232, 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, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 3, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 7, 2, 2, 3, 3, 3, 6, 6, 8, 3, 3, 4, 5, 6, 4, 4, 4, 6, 9, 9, 9, 9, 7, 7, 2, 2, 3, 5, 6, 5, 5, 5, 3, 3, 6, 6, 8, 9, 8, 8, 8, 4, 4, 5, 7, 8, 7, 5, 5, 8, 8, 10, 4, 4, 5, 3, 3, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 7, 6, 7, 7, 7, 5, 5, 7, 7, 5, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 7, 6, 7, 7, 7, 5, 5, 7, 7, 5, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 2, 2, 3, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 2, 2, 3, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 2, 2, 3, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 3, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 6, 6, 6, 5, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 3, 3, 3, 4, 4, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 0, 0, 1, 1, 1, 3, 1, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 1, 3, 3, 2, 2, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 2, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 1, 1, 1, 1, 4, 4, 1, 2, 0, 9, 9, 1, 1, 1, 2, 1, 2, 9, 9, 1, 1, 1, 4, 4, 1, 0, 2, 0, 10, 10, 1, 1, 1, 2, 1, 2, 10, 10, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 0, 12, 12, 1, 1, 1, 1, 1, 1, 2, 1, 2, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 2, 0, 13, 13, 1, 1, 1, 1, 1, 1, 2, 1, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 2, 1, 2, 9, 2, 2, 2, 2, 2, 2, 1, 2, 11, 2, 2, 2, 2, 2, 2, 1, 2, 13, 2, 2, 2, 2, 2, 2, 1, 2, 15, 2, 2, 2, 2, 2, 2, 1, 2, 17, 2, 2, 2, 2, 2, 2, 19, 19, 2, 2 ]
[ 505, 2116, 505, 280, 330, 1287, 102, 50, 1935, 10325, 356, 3011, 32, 508, 308, 2982, 102, 1565, 4008, 9905, 203, 465, 5741, 203, 465, 2361, 203, 465, 2322, 203, 465, 316, 203, 465, 1133, 203, 465, 22045, 203, 1070, 2202, 20427, 32, 7878, 32, 1439, 1188, 4527, 30, 21196, 203, 1070, 2202, 20427, 32, 7878, 32, 1439, 32, 12757, 1188, 4226, 6330, 203, 1070, 2202, 20427, 32, 7878, 32, 1499, 1188, 19967, 81, 1040, 203, 1070, 273, 38200, 32, 716, 5837, 1188, 439, 1752, 41540, 203, 1070, 273, 38200, 1188, 1913, 1580, 30, 2075, 30, 2676, 203, 81, 32327, 81, 65, 9036, 36, 81, 10539, 3521, 81, 2413, 280, 330, 641, 555, 12892, 32, 2175, 32, 508, 33, 97, 33, 10772, 36, 33, 2929, 33, 687, 25, 203, 81, 32327, 81, 65, 9036, 36, 81, 9052, 81, 2413, 280, 330, 641, 555, 12892, 32, 2175, 32, 508, 33, 97, 33, 10772, 36, 33, 1956, 25, 203, 81, 32327, 81, 65, 9036, 36, 81, 31311, 280, 330, 641, 555, 1499, 32, 12717, 32, 508, 33, 2393, 33, 38952, 32, 3959, 330, 766, 397, 330, 641, 555, 1499, 32, 12717, 32, 508, 33, 2393, 33, 38952, 32, 1935, 330, 766, 397, 330, 641, 555, 12892, 32, 2175, 32, 508, 33, 97, 33, 10772, 36, 33, 2393, 25, 203, 2184, 32, 1234, 463, 6589, 14612, 81, 2393, 81, 1515, 370, 3005, 1696, 33, 6589, 14612, 370, 3049, 1057, 3566, 3894, 436, 9755, 14612, 14017, 10677, 11834, 203, 2184, 32, 1234, 463, 6589, 14612, 81, 2393, 81, 4534, 370, 3177, 30, 3049, 1057, 2797, 861, 30, 44318, 10677, 436, 9755, 14612, 1245, 2372, 11834, 203, 823, 34394, 5324, 924, 26, 984, 711, 334, 3097, 203, 823, 34394, 26, 1473, 711, 334, 617, 525, 81, 731, 81, 2665, 280, 301, 38, 34, 38, 44, 330, 38, 34, 38, 2032, 646, 2431, 6584, 322, 2202, 20427, 2719, 6418, 5556, 39, 34, 34, 44, 330, 39, 34, 34, 11540, 2145, 1048, 645, 2202, 20427, 2719, 6418, 5556, 39, 43, 43, 44, 330, 39, 43, 43, 20955, 1412, 25754, 372, 15669, 322, 2202, 20427, 2719, 4564, 111, 334, 665, 1156, 1664, 3207, 784, 30, 636, 30, 4899, 30, 13472, 30, 3048, 47, 2521, 711, 284, 630, 32, 426, 280, 636, 284, 630, 32, 4531, 280, 4899, 284, 630, 32, 2310, 280, 3048, 284, 630, 32, 15710, 280, 13472, 284, 630, 1114, 5457, 280, 1665, 334, 665, 4793, 7497, 26, 784, 30, 3298, 711, 284, 4082, 280, 5741, 32, 3703, 4420, 26, 7490, 32, 10579, 1026, 5053, 17881, 950, 630, 32, 426, 1748, 284, 665, 617, 1484, 7371, 2262, 397, 630, 1114, 5457, 280, 439, 1752, 41540, 32, 1700, 922, 669, 81, 5457, 26, 1003, 32, 1003, 346, 474, 630, 32, 15710, 30, 617, 2529, 21863, 27, 284, 665, 617, 1484, 984, 26, 13074, 30, 909, 30, 15318, 711, 397, 415, 308, 13074, 30, 909, 30, 15318, 27, 863, 308, 2521, 30, 1665, 30, 1665, 711, 291, 415, 5671, 438, 2676, 32, 39145, 44, 616, 1474, 280, 630, 1114, 525, 81, 731, 81, 2665, 32, 371, 26, 695, 32, 1517 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 8, 11, 10, 11, 10, 8, 12, 12, 10, 11, 12, 9, 4, 4, 5, 6, 6, 6, 5, 5, 9, 10, 8, 8, 13, 13, 12, 13, 12, 11, 11, 11, 10, 14, 13, 14, 13, 11, 11, 12, 13, 10, 10, 11, 11, 10, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 7, 10, 9, 9, 9, 9, 9, 8, 8, 10, 9, 9, 9, 9, 9, 7, 7, 9, 10, 10, 11, 12, 9, 9, 9, 12, 12, 15, 16, 16, 16, 16, 16, 14, 15, 14, 16, 15, 16 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 8, 8, 0, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 2, 10, 10, 0, 0, 0, 11, 11, 0, 11, 11, 0, 11, 11, 11, 11, 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, 2, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 17, 17, 1, 1, 2, 1, 2, 17, 17, 0, 18, 18, 2, 1, 2, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 3, 4, 4, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 15390, 81, 30839, 203, 1070, 4377, 81, 2304, 1188, 1244, 81, 48609, 203, 3242, 1796, 2597, 280, 2149, 203, 589, 622, 3350, 1796, 26, 3242, 620, 30, 4736, 47, 2521, 30, 1115, 5321, 711, 284, 4345, 620, 280, 4345, 620, 32, 5729, 346, 284, 415, 4345, 620, 646, 328, 4345, 1796, 2597, 44, 291, 415, 4345, 620, 610, 313, 4722, 563, 324, 645, 638, 1188, 7581, 324, 415, 4736, 438, 1665, 44, 400, 645, 5592, 32, 4722, 1188, 1847, 314, 418, 400, 4736, 280, 1847, 314, 418, 324, 442, 7581, 32, 371, 7803, 2459, 26, 19373, 30, 1115, 5321, 547, 3350, 1796, 291, 4348, 4345, 620, 610, 313, 94, 2593, 563, 324, 645, 638, 1188, 2971, 972, 81, 94, 2593, 324, 4345, 1796, 2597, 77, 3242, 620, 79, 280, 2971, 972, 81, 94, 2593, 32, 3350, 1796, 291, 4348, 4345, 620, 610, 313, 48609, 563, 324, 645, 638, 1188, 2971, 972, 324, 415, 4736, 438, 1665, 44, 400, 4736, 280, 1244, 81, 48609, 324, 442, 2971, 972, 32, 371, 1218, 972, 2459, 26, 19373, 30, 1115, 5321, 547, 3350, 1796, 291, 813, 44, 324, 3636, 10091, 27265, 1061, 268, 5343, 8593, 4345, 4164, 5461, 101, 20, 1524, 904, 4345, 620, 27, 284, 442, 4345, 1796, 2597, 32, 371, 26, 3242, 620, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 4, 2, 2, 4, 2, 1, 1, 5, 4, 4, 7, 6, 7, 6, 2, 2, 3, 5, 4, 4, 4, 5, 5, 3, 3, 3, 5, 7, 6, 6, 8, 8, 5, 5, 7, 7, 7, 6, 6, 7, 8, 8, 7, 7, 7, 9, 10, 11, 9, 9, 11, 11, 8, 8, 10, 10, 11, 11, 6, 6, 7, 10, 11, 11, 11, 10, 11, 10, 10, 12, 10, 9, 9, 5, 5, 6, 8, 7, 7, 9, 9, 9, 6, 6, 8, 8, 8, 10, 10, 10, 10, 7, 7, 11, 11, 10, 11, 11, 10, 9, 9, 11, 11, 11, 11, 10, 11, 11, 5, 5, 6, 8, 7, 7, 9, 9, 6, 6, 8, 8, 8, 10, 7, 7, 8, 9, 9, 8, 8, 8, 11, 11, 12, 12, 7, 7, 8, 12, 11, 12, 12, 12, 12, 11, 12, 11, 11, 13, 11, 10, 10, 5, 5, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 10, 2, 2, 3, 6, 6, 5, 6, 5, 6, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 3, 3, 0, 0, 2, 2, 3, 3, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 4, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 5, 0, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 3, 3, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 823, 516, 2210, 746, 1599, 17467, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2202, 711, 291, 630, 32, 1071, 280, 2202, 291, 630, 32, 1274, 81, 9150, 280, 1605, 284, 665, 1974, 81, 1274, 26, 784, 30, 3414, 711, 291, 1650, 280, 630, 32, 1809, 81, 3038, 81, 1055, 26, 3038, 27, 291, 415, 1650, 863, 429, 35, 44, 324, 630, 32, 2546, 81, 3038, 26, 1055, 27, 291, 630, 32, 1274, 81, 9150, 32, 1689, 26, 3038, 27, 291, 630, 32, 1071, 32, 669, 81, 3038, 81, 452, 81, 1274, 26, 3038, 27, 284, 665, 3345, 81, 3038, 26, 784, 30, 2698, 81, 1055, 711, 291, 3555, 630, 32, 1274, 81, 9150, 77, 643, 81, 1055, 79, 291, 630, 32, 1071, 32, 2546, 81, 643, 26, 643, 81, 1055, 27, 284, 665, 2290, 81, 3038, 81, 1055, 26, 784, 30, 537, 81, 3038, 711, 291, 436, 595, 30, 3414, 328, 10703, 26, 784, 32, 1274, 81, 9150, 711, 324, 415, 3414, 2867, 36, 79, 610, 537, 81, 3038, 2867, 36, 2786, 400, 442, 595, 291, 442, 429, 35, 284, 665, 4233, 81, 1274, 26, 784, 711, 291, 630, 32, 1274, 81, 9150, 280, 1605, 291, 630, 32, 1071, 32, 3815, 81, 1274, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 2, 2, 2, 2, 3, 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, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 5, 6, 6, 8, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 8, 8, 8, 6, 7, 7, 7, 6, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 5, 5, 7, 9, 8, 9, 9, 9, 7, 5, 5, 7, 9, 11, 9, 8, 8, 10, 10, 9, 11, 9, 7, 7, 9, 4, 4, 5, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 7, 8, 8, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 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, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 4, 4, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 2116, 505, 280, 330, 22012, 50, 2175, 32, 508, 308, 29338, 1813, 788, 624, 278, 9905, 203, 465, 485, 858, 81, 858, 81, 2304, 203, 12252, 280, 485, 858, 81, 858, 81, 2304, 32, 936, 1006, 23928, 1215, 463, 24707, 81, 311, 16165, 81, 858, 81, 683, 203, 589, 3175, 26, 4742, 711, 334, 415, 646, 3700, 44, 284, 3636, 34835, 203, 589, 3175, 10096, 26, 3140, 30, 4648, 711, 334, 415, 2799, 863, 4648, 44, 284, 1459, 463, 7700, 44, 904, 101, 25, 904, 308, 3140, 33702, 284, 1459, 463, 225, 18915, 44, 904, 101, 25, 904, 308, 7975, 33702, 284, 3636, 34835, 203, 589, 2108, 39849, 2185, 2301, 26, 2501, 711, 334, 298, 280, 485, 858, 81, 858, 81, 2304, 32, 1721, 2416, 26, 2501, 27, 334, 3175, 26, 98, 32, 4775, 318, 27, 334, 3175, 10096, 26, 35, 30, 298, 32, 4775, 81, 687, 27, 334, 3175, 463, 3573, 7732, 1006, 25, 328, 298, 32, 2024, 27, 203, 823, 570, 1006, 1061, 16165, 1006, 26, 24707, 81, 858, 81, 2304, 32, 7233, 711, 334, 665, 894, 39849, 2185, 2301, 26, 784, 711, 284, 2108, 39849, 2185, 2301, 26, 12252, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 485, 858, 81, 858, 81, 2304, 32, 4358, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 3, 3, 3, 3, 0, 3, 2, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 3, 3, 3, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 3, 7, 10, 10, 10, 10, 10, 8, 8, 10, 9, 4, 4, 7, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 6, 7, 7, 6, 7, 6, 2, 2, 5, 7, 6, 7, 7, 5, 2, 2, 5, 5, 6, 5, 5, 6, 7, 7, 7, 5, 2, 2, 5, 8, 8, 8, 8, 6, 6, 7, 8, 5, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 6, 6, 6, 6, 6, 5, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 2, 1, 2, 3, 3, 0, 1, 0, 0, 0, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 2, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 0, 1, 2, 2, 1, 4, 4, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 6, 6, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 6, 6, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 5741, 203, 1070, 8527, 32, 1262, 32, 9331, 32, 1439, 1188, 3772, 2019, 203, 1070, 8527, 32, 1199, 1188, 6141, 203, 1070, 2322, 88, 32, 3378, 1188, 4004, 30, 3772, 974, 1212, 30, 1565, 22263, 974, 1212, 203, 1070, 10105, 1188, 8745, 619, 3261, 81, 2304, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 3345, 81, 8288, 81, 363, 81, 2536, 26, 1251, 81, 12324, 711, 284, 1201, 1541, 81, 12324, 30, 330, 7700, 22169, 107, 1541, 81, 314, 30, 5424, 19553, 1643, 26, 1251, 81, 12324, 27, 284, 1541, 280, 4004, 32, 944, 26, 1251, 81, 12324, 27, 284, 1201, 1541, 30, 330, 12014, 372, 2290, 1541, 623, 16426, 19553, 1643, 26, 1251, 81, 12324, 27, 284, 436, 310, 328, 1541, 32, 1251, 81, 363, 81, 4457, 81, 3801, 31884, 2262, 291, 4082, 32, 1338, 44805, 429, 1513, 13560, 803, 7041, 1179, 2473, 1643, 26, 96, 1114, 314, 490, 291, 436, 803, 328, 310, 32, 2536, 32, 10444, 26, 2544, 505, 45087, 47, 1815, 711, 324, 1596, 44, 400, 803, 32, 9561, 32, 10444, 26, 314, 47, 761, 32, 9561, 32, 5323, 463, 770, 81, 4524, 1814, 314, 547, 2560, 346, 324, 2940, 803, 32, 9561, 32, 1160, 32, 34747, 44, 400, 3097, 291, 4082, 32, 1338, 44805, 429, 1513, 13560, 554, 22263, 803, 5166, 1179, 2473, 1643, 26, 96, 1114, 314, 490, 291, 3772, 974, 1212, 32, 5740, 32, 2029, 26, 681, 505, 266, 47, 854, 22263, 974, 1212, 1114, 19065, 3378, 81, 1113, 2516, 30, 1541, 47, 96, 547, 2560, 346, 291, 4082, 32, 1338, 44805, 429, 1513, 13560, 8821, 1179, 2473, 1643, 26, 96, 1114, 314, 490, 291, 310, 32, 8288, 32, 10444, 26, 314, 47, 96, 32, 8288, 32, 1928, 27186, 922, 314, 547, 2560, 346, 203, 823, 5718, 26, 1761, 2019, 711, 284, 665, 1015, 81, 8299, 26, 784, 30, 4118, 711, 291, 2599, 26, 2019, 30, 630, 547, 669, 81, 8299, 26, 3922, 27, 291, 4118, 32, 669, 81, 2669, 26, 324, 11363, 1251, 370, 324, 827, 47, 466, 30, 324, 2125, 1057, 2157, 370, 324, 3466, 1057, 1251, 81, 314, 370, 324, 2129, 47, 1815, 30, 324, 3049, 1057, 1212, 16426, 372, 34086, 706, 645, 370, 291, 829, 291, 4118, 32, 669, 81, 2669, 26, 324, 11363, 91, 31, 404, 31, 44454, 31, 4449, 31, 7468, 31, 578, 370, 324, 2125, 1057, 2157, 81, 1508, 370, 324, 3466, 1057, 44454, 81, 2560, 370, 324, 3049, 1057, 1830, 3405, 3066, 706, 25, 291, 829, 284, 665, 2887, 26, 784, 30, 319, 1132, 30, 1115, 2184, 711, 291, 6394, 81, 2560, 280, 2075, 32, 371, 463, 44454, 81, 2560, 370, 3177, 27, 291, 1541, 81, 314, 280, 2075, 32, 371, 463, 1251, 81, 314, 370, 1665, 27, 291, 415, 6394, 81, 2560, 44, 324, 3261, 81, 2304, 32, 669, 81, 761, 81, 4073, 26, 4073, 30, 1156, 761, 8223, 291, 623, 6141, 32, 6231, 2262, 324, 3345, 81, 8288, 81, 363, 81, 2536, 26, 1251, 81, 314, 27, 324, 415, 646, 6394, 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, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 2, 2, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 10, 11, 9, 4, 4, 5, 5, 5, 8, 9, 7, 8, 7, 9, 9, 9, 8, 9, 7, 5, 5, 7, 7, 7, 14, 15, 13, 14, 13, 15, 14, 19, 18, 19, 17, 18, 17, 19, 19, 19, 19, 16, 13, 12, 11, 7, 7, 8, 11, 12, 10, 11, 9, 10, 8, 8, 8, 4, 4, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 10, 11, 9, 4, 4, 11, 11, 10, 11, 9, 10, 9, 11, 11, 11, 10, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 9, 9, 10, 11, 9, 8, 7, 4, 4, 7, 8, 7, 11, 11, 11, 11, 11, 11, 10, 9, 11, 10, 11, 9, 4, 4, 10, 11, 9, 10, 9, 11, 10, 15, 14, 15, 13, 14, 14, 13, 12, 9, 8, 7, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 9, 9, 9, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 7, 7, 9, 9, 7, 7, 8, 9, 7, 7, 7, 8, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 10, 4, 4, 5, 9, 10, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 9, 6, 6, 7, 8, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 5, 5, 3, 3, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 5, 5, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 3, 0, 2, 0, 2, 1, 2, 3, 3, 3, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 3, 2, 1, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 5, 5, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 8, 8, 2, 1, 1, 2, 8, 8, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 2, 1, 1, 7, 1, 1, 1, 2, 1, 1, 9, 2, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 4, 4, 3, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1 ]
[ 465, 1133, 203, 1070, 26313, 1188, 7800, 203, 1070, 1245, 1188, 2662, 2214, 203, 751, 280, 2662, 2214, 922, 371, 81, 751, 4064, 426, 8223, 203, 823, 7400, 2981, 18381, 2247, 44, 284, 665, 5742, 81, 2795, 26, 784, 711, 291, 3636, 22210, 203, 823, 42497, 7584, 26, 3021, 711, 284, 665, 1156, 1664, 3207, 784, 30, 7808, 30, 2899, 711, 291, 7800, 3667, 1664, 3207, 784, 27, 291, 630, 32, 7843, 280, 7808, 291, 630, 32, 2795, 280, 2899, 291, 630, 32, 36788, 280, 3177, 291, 630, 32, 15791, 440, 18381, 7584, 1562, 2247, 23, 101, 20, 904, 630, 32, 2795, 3667, 823, 29215, 426, 8223, 291, 630, 32, 470, 26376, 26, 1815, 27, 291, 1245, 32, 2811, 440, 6873, 312, 42497, 7584, 3664, 436, 2899, 904, 101, 20, 904, 630, 32, 2795, 3667, 823, 29215, 426, 8223, 284, 665, 1420, 26, 784, 711, 291, 2218, 646, 630, 32, 36788, 44, 324, 1133, 32, 7840, 26, 784, 32, 7843, 27, 324, 415, 646, 630, 32, 36788, 44, 400, 2899, 81, 3426, 280, 7800, 26, 1977, 47, 784, 32, 2795, 32, 4526, 81, 2795, 27, 400, 2899, 81, 3426, 32, 15791, 440, 8068, 3021, 1562, 2247, 23, 101, 20, 904, 630, 32, 2795, 3667, 823, 29215, 426, 8223, 400, 2899, 81, 3426, 32, 470, 26376, 26, 1815, 27, 400, 1245, 32, 2811, 440, 15624, 312, 10366, 3664, 436, 322, 42497, 28130, 436, 2899, 904, 101, 20, 904, 630, 32, 2795, 3667, 823, 29215, 426, 8223, 400, 2899, 81, 3426, 32, 1366, 346, 284, 665, 23086, 26, 784, 711, 291, 630, 32, 36788, 280, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 3, 2, 2, 6, 6, 5, 5, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 11, 12, 10, 11, 11, 10, 10, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 11, 12, 10, 11, 11, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 9, 10, 9, 11, 10, 11, 9, 6, 6, 7, 8, 9, 10, 7, 7, 7, 11, 11, 10, 10, 12, 14, 13, 16, 15, 16, 14, 15, 15, 15, 12, 8, 8, 12, 12, 11, 12, 11, 14, 14, 14, 14, 14, 14, 14, 12, 12, 15, 16, 14, 15, 15, 14, 14, 8, 8, 12, 12, 11, 12, 12, 11, 12, 11, 8, 8, 11, 12, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 15, 16, 14, 15, 15, 14, 14, 8, 8, 12, 12, 11, 12, 11, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 4, 4, 1, 1, 1, 4, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 281, 6787, 1188, 25160, 203, 589, 312, 887, 26, 83, 30, 6013, 47, 2521, 30, 963, 47, 2521, 30, 4986, 12732, 47, 2700, 30, 9710, 47, 2521, 711, 284, 442, 25160, 32, 13493, 26, 291, 312, 30, 6013, 47, 5082, 30, 9710, 47, 12010, 30, 963, 47, 541, 30, 4986, 12732, 47, 10504, 12732, 27, 203, 589, 312, 1449, 26, 83, 30, 6013, 47, 2521, 30, 963, 47, 2521, 30, 4986, 12732, 47, 2700, 30, 9710, 47, 2521, 711, 284, 442, 25160, 32, 404, 648, 26, 291, 312, 30, 6013, 47, 5082, 30, 9710, 47, 12010, 30, 963, 47, 541, 30, 4986, 12732, 47, 10504, 12732, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 4, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 5, 6, 5, 5, 5, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 7, 6, 7, 7, 5, 0, 1, 1, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 4, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 5, 6, 6, 5, 5, 5, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 7, 6, 7, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 7, 2, 2, 2, 9, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 0, 9, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 7, 2, 2, 2, 9, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 0, 9, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 34, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1647, 44, 1532, 85, 81, 4792, 81, 6038, 203, 4021, 81, 2310, 44, 2648, 556, 6788, 16001, 447, 9327, 821, 15061, 14338, 2359, 7578, 32, 203, 2310, 44, 334, 429, 2244, 35603, 2297, 372, 2648, 556, 6788, 16001, 447, 9327, 821, 15061, 14338, 2359, 7578, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 34, 20, 203, 2184, 44, 334, 8813, 44, 284, 3048, 44, 397, 429, 886, 8813, 432, 1370, 5042, 53, 9035, 284, 2129, 44, 2933, 334, 636, 44, 284, 3048, 44, 397, 429, 886, 636, 432, 322, 5953, 7231, 32, 1348, 438, 4031, 3405, 27765, 623, 804, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 334, 804, 44, 284, 3048, 44, 397, 429, 886, 5953, 7231, 804, 32, 1348, 438, 4031, 3405, 27765, 623, 636, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 334, 5953, 81, 48764, 44, 284, 3048, 44, 397, 429, 399, 1149, 432, 20883, 4096, 9668, 372, 11748, 322, 5953, 32, 291, 1348, 438, 2129, 436, 1603, 330, 2689, 25, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 334, 10021, 44, 284, 3048, 44, 397, 429, 886, 10021, 544, 1510, 372, 9413, 322, 3700, 688, 1098, 6595, 322, 5953, 32, 291, 1348, 438, 2129, 436, 1603, 330, 2689, 25, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 284, 16682, 44, 2107, 6281, 1195, 5566, 1195, 10300, 785, 334, 7459, 44, 284, 3048, 44, 397, 429, 886, 3104, 432, 1133, 328, 10135, 688, 322, 3700, 2298, 27419, 322, 10084, 32, 291, 1348, 438, 2129, 436, 1603, 330, 2689, 25, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 334, 10084, 44, 284, 3048, 44, 397, 429, 886, 10084, 688, 1098, 6595, 322, 5953, 1412, 322, 10021, 12423, 556, 35308, 561, 32, 291, 1348, 438, 2129, 436, 1603, 330, 2689, 25, 291, 1348, 1451, 10666, 312, 17722, 461, 2298, 526, 312, 786, 3733, 225, 39, 32, 34, 429, 225, 43, 39, 32, 34, 688, 438, 312, 4609, 432, 225, 39, 32, 34, 284, 2129, 44, 3177, 284, 1244, 44, 1665, 334, 1603, 44, 284, 3048, 44, 397, 429, 14071, 372, 1487, 556, 3066, 322, 7231, 32, 284, 2129, 44, 3177, 284, 1244, 44, 5024, 284, 16682, 44, 2107, 2689, 1195, 3596, 304, 785, 203, 15965, 44, 284, 429, 4262, 280, 225, 36, 32, 41, 284, 429, 5167, 2377, 225, 36, 32, 39, 32, 34, 284, 429, 1532, 85, 31, 4968, 203, 2116, 44, 313, 8428, 37183, 11931, 9210, 31, 10340, 4731, 203, 8886, 44, 284, 429, 2614, 793, 458, 2297, 30, 561, 438, 2129, 372, 739, 322, 4794, 4706, 4886, 1510, 19841, 2857, 372, 322, 397, 15061, 14338, 1204, 7578, 616, 429, 5042, 53, 81, 72, 36, 81, 2554, 81, 19452, 30, 322, 3497, 6207, 804, 436, 322, 9334, 14338, 1204, 8668, 616, 429, 5042, 53, 81, 72, 36, 81, 2554, 81, 13001, 30, 322, 3497, 3882, 436, 322, 9334, 14338, 1204 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 35094, 1188, 33845, 203, 1070, 46624, 32, 4280, 1188, 7096, 81, 203, 1070, 5839, 545, 7756, 32, 3592, 1188, 7012, 203, 823, 7841, 26, 1473, 711, 284, 447, 6520, 81, 25957, 280, 1300, 346, 284, 665, 1156, 1664, 3207, 784, 30, 2830, 30, 5601, 30, 537, 711, 291, 630, 32, 2067, 280, 2830, 291, 630, 32, 2437, 280, 5601, 291, 630, 32, 890, 280, 537, 291, 630, 32, 2675, 81, 2437, 280, 7610, 30578, 16436, 474, 5601, 284, 665, 617, 2675, 26, 784, 711, 291, 415, 646, 19326, 26, 784, 32, 2067, 30, 630, 32, 2675, 81, 2437, 711, 324, 39506, 26, 784, 32, 2067, 30, 630, 32, 2675, 81, 2437, 30, 11544, 291, 7511, 280, 18623, 26, 784, 32, 2067, 30, 630, 32, 2437, 30, 630, 32, 18086, 81, 25957, 27, 291, 18623, 26, 784, 32, 2067, 30, 630, 32, 2675, 81, 2437, 547, 1689, 26, 9031, 27, 291, 39506, 26, 784, 32, 2067, 30, 630, 32, 2437, 30, 630, 32, 890, 27, 284, 665, 617, 311, 2675, 26, 784, 711, 291, 1201, 19326, 26, 784, 32, 2067, 30, 630, 32, 2675, 81, 2437, 27, 291, 11309, 81, 668, 280, 18623, 26, 784, 32, 2067, 30, 630, 32, 2675, 81, 2437, 27, 291, 372, 81, 11243, 280, 11309, 81, 668, 32, 3235, 346, 291, 415, 372, 81, 11243, 438, 630, 32, 18086, 81, 25957, 44, 324, 3555, 2437, 26, 784, 32, 2067, 30, 630, 32, 2437, 27, 291, 813, 44, 324, 39506, 26, 784, 32, 2067, 30, 630, 32, 2437, 30, 372, 81, 11243, 27, 291, 415, 646, 11309, 81, 668, 44, 324, 3555, 2437, 26, 784, 32, 2067, 30, 630, 32, 2675, 81, 2437, 27, 284, 665, 1156, 1851, 3207, 784, 30, 3420, 711, 291, 477, 4071, 101, 26, 1298, 27, 291, 665, 617, 21111, 2740, 1132, 30, 1115, 5321, 711, 324, 623, 630, 44, 400, 442, 3420, 2740, 1132, 30, 1115, 5321, 27, 291, 442, 617, 21111, 284, 665, 1156, 1403, 3207, 784, 711, 291, 630, 1114, 2675, 346, 284, 665, 1156, 4775, 3207, 784, 30, 13489, 81, 681, 30, 786, 30, 27374, 711, 291, 630, 1114, 311, 2675, 346, 203, 1163, 81, 2675, 280, 7841, 26, 5728, 30, 330, 1163, 370, 3486, 9254, 44, 5436, 26, 2116, 1057, 1006, 370, 4096, 1057, 858, 50, 2763, 32, 508, 2847, 203, 589, 4705, 81, 1647, 2262, 284, 1359, 81, 2675, 1114, 2675, 346, 203, 589, 40688, 81, 1647, 2262, 284, 1359, 81, 2675, 1114, 311, 2675, 346, 203, 823, 7724, 4672, 26, 668, 711, 284, 665, 5489, 26, 784, 30, 2830, 30, 1650, 47, 2521, 711, 291, 415, 646, 19326, 26, 2067, 30, 11477, 1731, 505, 7831, 324, 2830, 280, 428, 2067, 79, 291, 415, 1650, 438, 1665, 44, 324, 436, 1623, 328, 2830, 44, 400, 1149, 32, 1689, 26, 784, 30, 2830, 27, 291, 813, 44, 324, 436, 1623, 328, 2830, 44, 400, 1149, 32, 3215, 26, 784, 30, 1650, 30, 1623, 27, 400, 1650, 1454, 225, 35, 203, 3765, 81, 4780, 81, 30835, 280, 428, 284, 2726, 7989, 429, 34, 30, 34, 474, 35, 30, 36, 10805 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 8, 10, 9, 10, 8, 8, 9, 10, 10, 10, 8, 5, 5, 9, 11, 10, 11, 9, 9, 10, 11, 11, 11, 9, 9, 4, 4, 6, 6, 8, 10, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 9, 11, 10, 11, 9, 9, 10, 11, 11, 11, 9, 8, 7, 8, 7, 4, 4, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 7, 7, 6, 6, 8, 10, 9, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 8, 4, 4, 5, 7, 7, 6, 6, 7, 8, 8, 8, 5, 5, 5, 9, 9, 11, 10, 11, 9, 9, 10, 11, 9, 5, 5, 6, 6, 6, 10, 12, 11, 12, 10, 10, 11, 12, 10, 10, 11, 11, 10, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 9, 11, 10, 11, 9, 9, 10, 11, 11, 11, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 8, 8, 9, 8, 5, 5, 6, 7, 7, 9, 7, 7, 9, 7, 6, 6, 8, 8, 8, 8, 10, 12, 14, 12, 12, 14, 12, 4, 4, 5, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 7, 0, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 4, 4, 5, 5, 7, 9, 8, 10, 10, 7, 8, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 1, 1, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 1, 1, 6, 6, 5, 6, 6, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 8, 9, 8, 8, 10, 10, 10, 5, 5, 8, 8, 10, 9, 4, 4, 5, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 11, 12, 11, 12, 11, 11, 11, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 12, 13, 12, 13, 12, 12, 12, 12, 12, 9, 9, 11, 11, 12, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 4, 4, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 2, 1, 1, 1, 4, 4, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 3, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 4, 4, 4, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 5, 1, 4, 4, 4, 1, 1, 1, 4, 4, 4, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 2, 1, 4, 4, 6, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 6, 6, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 0, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 5, 5, 0, 0, 0, 2, 1, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 0, 2, 2, 1, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 24495, 203, 465, 5741, 203, 465, 2322, 203, 465, 20536, 103, 3291, 619, 3920, 203, 1070, 6765, 17594, 1188, 1359, 619, 3570, 81, 1040, 30, 5296, 619, 14031, 203, 1070, 6765, 17594, 32, 913, 1188, 308, 284, 38604, 81, 18783, 81, 779, 30, 45623, 81, 18576, 30, 45623, 81, 2474, 30, 14558, 81, 37606, 30, 14558, 81, 8439, 30, 284, 14558, 81, 3908, 81, 8439, 30, 14558, 81, 6664, 30, 14558, 81, 567, 30, 14558, 81, 10933, 30, 14558, 81, 5357, 1345, 30, 284, 14558, 81, 32812, 1345, 30, 14558, 81, 14174, 30, 38604, 81, 3302, 71, 14253, 81, 6103, 30, 32465, 81, 613, 5696, 27, 203, 1070, 6765, 17594, 32, 1262, 1188, 3309, 203, 1070, 6765, 17594, 32, 8774, 32, 2225, 1188, 7264, 30, 2498, 81, 5536, 81, 2225, 81, 314, 203, 1070, 6765, 17594, 32, 8774, 32, 2225, 81, 2292, 1188, 7264, 1722, 203, 1070, 6765, 17594, 32, 8774, 32, 1567, 1188, 2498, 81, 4390, 81, 1293, 81, 2342, 203, 465, 6765, 17594, 32, 8774, 32, 1163, 81, 6460, 619, 6677, 203, 1070, 6765, 17594, 32, 1040, 32, 4396, 1188, 1420, 81, 42826, 81, 3426, 4770, 203, 16799, 280, 330, 1363, 25, 203, 18783, 81, 779, 81, 9302, 280, 4085, 10383, 474, 5608, 2537, 25, 203, 14594, 81, 1438, 33026, 280, 330, 9244, 25, 203, 14594, 81, 11483, 280, 330, 1071, 25, 203, 14594, 81, 11422, 280, 330, 2435, 25, 203, 11486, 81, 13236, 280, 330, 2837, 25, 203, 11486, 81, 9349, 280, 330, 1174, 25, 203, 11486, 81, 11483, 280, 330, 1071, 25, 203, 11486, 81, 18391, 280, 330, 7891, 25, 203, 11486, 81, 11422, 280, 330, 2435, 25, 203, 12744, 81, 2695, 81, 12144, 14472, 280, 330, 470, 81, 13488, 25, 203, 2695, 81, 12144, 14472, 81, 12744, 81, 20740, 280, 3920, 32, 3694, 1371, 284, 3920, 32, 7556, 26, 11486, 81, 18783, 81, 779, 711, 6677, 32, 2225, 81, 3631, 30, 284, 3920, 32, 5413, 26, 11486, 81, 18391, 711, 6677, 32, 4398, 203, 1748, 203, 613, 5696, 81, 12744, 81, 20740, 280, 3920, 32, 3694, 31576, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 617, 2957, 81, 32623, 26, 853, 711, 284, 415, 646, 6937, 26, 853, 30, 5436, 711, 291, 786, 280, 301, 14594, 81, 1438, 33026, 44, 786, 111, 284, 442, 786, 203, 9779, 81, 20740, 280, 3920, 32, 3694, 1371, 284, 3920, 32, 7556, 26, 14594, 81, 1438, 33026, 711, 3920, 32, 4277, 26, 4126, 32, 2225, 81, 3631, 30, 1665, 471, 284, 45623, 81, 11483, 44, 6677, 32, 4398, 30, 284, 45623, 81, 2474, 44, 6677, 32, 800, 30, 284, 45623, 81, 18576, 44, 6677, 32, 1566, 30, 284, 45623, 81, 11422, 44, 6677, 32, 800, 30, 203, 1748, 203, 6191, 81, 20740, 280, 3920, 32, 3694, 1371, 284, 4085, 10383, 44, 6677, 32, 8234, 81, 2665, 26, 3060, 32, 1934, 2176, 2957, 81, 32623, 30, 20359, 81, 20740, 490, 203, 835, 6717, 47, 3060, 32, 18427, 81, 20185, 27, 203, 81, 9779, 81, 15630, 280, 10440, 6103, 81, 567, 30, 14558, 81, 6664, 471, 308, 6103 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 2, 2, 0, 1, 1, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 8, 9, 8, 9, 9, 9, 9, 9, 8, 6, 7, 8, 8, 8, 5, 5, 5, 8, 9, 8, 9, 9, 9, 8, 6, 7, 8, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 7, 6, 6, 6, 3, 3, 6, 6, 9, 9, 9, 9, 8, 8, 7, 2, 2, 3, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 8, 9, 8, 9, 9, 9, 9, 8, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 8, 5, 5, 7, 7, 6, 6, 7, 8, 5, 5, 5, 7, 7, 6, 6, 7, 8, 5, 5, 5, 7, 7, 6, 6, 7, 8, 5, 5, 5, 7, 7, 6, 6, 7, 8, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 7, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 10, 11, 11, 11, 10, 10, 11, 11, 10, 5, 5, 4, 5, 7, 6, 7, 7, 7, 4, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 4, 4, 5, 5, 4, 3, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 1, 0, 4, 4, 0, 4, 4, 3, 3, 2, 2, 4, 4, 5, 5, 0, 5, 5, 0, 1, 2, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 4, 4, 8, 8, 0, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 11, 11, 0, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 26, 26, 1, 1, 1, 2, 1, 2, 26, 26, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 3, 2, 2, 1, 1, 1, 0, 0, 5, 5, 2, 2, 1, 1, 1, 0, 0, 7, 7, 2, 2, 1, 1, 1, 0, 0, 9, 9, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1 ]
[ 9592, 203, 14304, 32, 978, 203, 16470, 203, 5197, 9830, 2624, 372, 2054, 312, 4281, 13677, 12066, 1778, 10538, 203, 6772, 203, 6736, 203, 14304, 32, 978, 428, 893, 4870, 79, 203, 9592, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5237, 203, 5177, 37, 280, 5237, 32, 1648, 81, 1338, 77, 34, 79, 610, 225, 37, 203, 325, 19430, 37, 44, 284, 35198, 280, 2155, 203, 465, 6436, 619, 2065, 203, 465, 6677, 36, 203, 465, 5237, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1459, 463, 2272, 3964, 9830, 2624, 372, 2054, 312, 4281, 13677, 12066, 1778, 10538, 11834, 284, 1459, 463, 25948, 44, 32833, 32, 978, 428, 893, 4870, 26392, 284, 1459, 346, 284, 415, 2069, 26, 3731, 32, 6118, 27, 848, 225, 35, 44, 291, 2771, 280, 5237, 32, 6118, 77, 35, 79, 291, 1459, 463, 6696, 904, 101, 2417, 25, 904, 2771, 27, 291, 4791, 280, 6677, 36, 32, 40375, 26, 3359, 27, 291, 415, 4791, 438, 1665, 44, 324, 1459, 463, 5288, 372, 2454, 2771, 12454, 2771, 27, 324, 5237, 32, 4775, 26, 35, 27, 284, 813, 44, 291, 8549, 280, 225, 38, 34, 43, 40, 291, 1459, 463, 48237, 904, 4582, 23, 86, 36087, 5361, 1778, 2417, 25, 904, 308, 5765, 30, 8549, 490, 291, 4791, 280, 2065, 32, 9880, 1162, 5765, 30, 8549, 471, 2065, 32, 1774, 42, 27, 291, 4562, 280, 2065, 32, 33438, 1036, 26, 2356, 32, 3855, 32, 6386, 26, 39, 34, 34, 34, 34, 34, 30, 225, 36, 7824, 34, 32, 39, 30, 6013, 47, 34, 27, 291, 4562, 280, 2065, 32, 410, 37, 36, 26, 4390, 28, 35, 34, 474, 308, 5765, 33, 36, 30, 8549, 33, 36, 490, 291, 6677, 36, 32, 8541, 4446, 26, 1275, 30, 428, 4390, 614, 225, 34, 30, 225, 36, 39, 39, 30, 225, 35, 30, 6677, 36, 32, 4780, 81, 2141, 27, 284, 5532, 280, 4791, 284, 436, 595, 328, 35198, 26, 37, 711, 291, 5532, 280, 6677, 36, 32, 978, 100, 3211, 26, 4884, 27, 284, 665, 544, 7068, 26, 1567, 30, 816, 30, 533, 30, 5736, 30, 4356, 711, 291, 420, 30, 617, 105, 280, 4791, 32, 3229, 2867, 36, 79, 291, 420, 35, 30, 617, 105, 35, 280, 5532, 32, 3229, 2867, 36, 79, 291, 816, 30, 533, 280, 225, 35, 32, 34, 28, 106, 28, 90, 33, 90, 35, 30, 225, 35, 32, 34, 28, 107, 28, 90, 33, 90, 35, 291, 13156, 280, 6677, 36, 32, 371, 4367, 1721, 24169, 26, 1275, 30, 308, 42, 34, 34, 30, 225, 40, 34, 34, 471, 308, 106, 29, 34, 32, 39, 30, 533, 29, 34, 32, 39, 490, 291, 6677, 36, 32, 23026, 463, 11464, 370, 13156, 27, 284, 6677, 36, 32, 23026, 463, 8687, 370, 5532, 27, 284, 6677, 36, 32, 470, 6034, 3296, 463, 8687, 370, 544, 7068, 27, 284, 6677, 36, 32, 1684, 953, 346, 284, 6677, 36, 32, 6976, 1934, 2839, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 3, 3, 2, 2, 5, 6, 6, 6, 4, 5, 4, 3, 3, 4, 0, 1, 1, 2, 1, 1, 1, 4, 4, 0, 1, 1, 2, 2, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 2, 2, 3, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 3, 6, 6, 8, 9, 7, 8, 7, 4, 4, 7, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 6, 6, 9, 8, 9, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 9, 10, 9, 10, 9, 3, 3, 4, 4, 4, 7, 7, 8, 8, 8, 8, 5, 5, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 10, 10, 5, 5, 7, 7, 9, 10, 9, 11, 10, 10, 10, 9, 10, 11, 11, 9, 5, 5, 7, 7, 9, 10, 10, 9, 14, 13, 14, 12, 13, 12, 13, 13, 13, 13, 13, 13, 12, 12, 13, 12, 11, 11, 11, 9, 9, 10, 11, 9, 5, 5, 7, 7, 9, 10, 10, 10, 9, 12, 11, 12, 12, 10, 10, 13, 12, 13, 11, 11, 12, 13, 11, 5, 5, 9, 8, 9, 9, 8, 9, 8, 8, 10, 9, 8, 9, 8, 8, 9, 9, 9, 8, 8, 9, 8, 8, 10, 9, 10, 10, 10, 8, 2, 2, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 7, 8, 6, 6, 8, 9, 7, 9, 7, 4, 4, 8, 7, 7, 8, 8, 6, 6, 8, 9, 7, 9, 7, 4, 4, 7, 7, 6, 6, 11, 11, 11, 10, 11, 9, 10, 8, 9, 9, 7, 7, 11, 11, 11, 10, 11, 9, 10, 8, 9, 9, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 8, 9, 8, 8, 10, 10, 10, 9, 9, 10, 10, 10, 9, 8, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 4, 4, 8, 7, 8, 7, 9, 9, 7, 7, 2, 2, 6, 5, 6, 5, 7, 7, 5, 5, 2, 2, 6, 5, 6, 6, 6, 5, 7, 7, 5, 6, 5, 2, 2, 6, 5, 6, 6, 5, 2, 2, 6, 5, 6, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 4, 4, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 1, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 0, 1, 1, 1, 1, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 1, 0, 1, 2, 1, 1, 1, 2, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 4, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 2, 1, 1, 3, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 1, 5, 1, 1, 7, 7, 7, 1, 1, 9, 1, 1, 0, 11, 2, 2, 2, 1, 3, 3, 0, 0, 3, 3, 5, 5, 5, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 6, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 0, 1, 2, 2, 2, 5, 5, 3, 2, 2, 2, 5, 4, 4, 0, 0, 2, 1, 1, 2, 1, 1, 3, 3, 0, 0, 2, 1, 1, 2, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 3, 3, 0, 0, 2, 2, 1, 3, 3, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 15798, 619, 8186, 203, 465, 2813, 1380, 418, 86, 203, 465, 6436, 619, 2065, 203, 823, 15200, 318, 26, 303, 32, 7233, 711, 284, 358, 280, 2813, 1380, 418, 86, 32, 1598, 26, 1501, 81, 94, 6020, 35, 32, 34, 30, 225, 35, 32, 34, 30, 225, 35, 32, 34, 1130, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 69, 32, 2050, 32, 3815, 346, 291, 630, 32, 69, 32, 3376, 81, 2946, 32, 470, 81, 1823, 318, 346, 284, 665, 894, 81, 575, 373, 26, 784, 711, 291, 310, 81, 2050, 280, 225, 36, 37, 39, 35, 291, 436, 595, 328, 2155, 26, 96, 81, 2050, 711, 324, 630, 32, 69, 32, 2050, 32, 669, 26, 314, 47, 91, 30, 3400, 6020, 34, 30, 225, 34, 30, 225, 34, 614, 827, 47, 35, 27, 291, 436, 595, 328, 2155, 26, 96, 81, 2050, 711, 324, 630, 32, 69, 32, 2050, 77, 91, 997, 966, 280, 3400, 280, 2065, 32, 3855, 32, 3855, 26, 37, 27, 291, 1742, 81, 2452, 280, 630, 32, 69, 32, 3376, 81, 2946, 32, 575, 373, 346, 291, 630, 32, 5299, 26, 1036, 26, 2050, 81, 2452, 471, 310, 81, 2050, 27, 291, 630, 32, 5299, 26, 1036, 26, 784, 32, 69, 32, 2050, 2867, 997, 681, 471, 310, 81, 2050, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1459, 440, 9554, 44, 3003, 2813, 1380, 418, 86, 32, 5905, 1157, 284, 8186, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 6, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 8, 9, 7, 8, 7, 4, 4, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 5, 5, 5, 7, 8, 8, 8, 7, 5, 5, 11, 12, 10, 11, 9, 10, 9, 11, 10, 11, 9, 9, 10, 12, 11, 11, 12, 11, 11, 12, 11, 9, 10, 11, 9, 4, 4, 5, 5, 5, 7, 8, 8, 8, 7, 5, 5, 12, 13, 11, 12, 10, 11, 10, 10, 8, 8, 9, 9, 12, 13, 11, 12, 11, 12, 11, 4, 4, 7, 7, 6, 6, 10, 11, 9, 10, 10, 10, 8, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 10, 10, 9, 7, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 14, 13, 14, 12, 13, 11, 11, 11, 9, 7, 8, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 7, 7, 7, 5, 8, 8, 8, 7, 8, 7, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 2, 2, 3, 2, 2, 5, 2, 1, 5, 2, 1, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 3, 3, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 225, 46032, 30, 2322, 203, 465, 43008, 619, 7680, 203, 1070, 42408, 32, 1356, 32, 8327, 13068, 1188, 17078, 619, 343, 13068, 203, 465, 485, 1588, 87, 619, 485, 30, 1292, 748, 367, 619, 447, 203, 57, 47, 89, 203, 465, 1356, 32, 13068, 26, 89, 32, 668, 750, 32898, 27, 203, 465, 1356, 32, 13068, 26, 89, 32, 944, 6384, 27, 203, 465, 1356, 32, 13068, 26, 89, 32, 2754, 557, 1147, 720, 27, 203, 465, 1356, 32, 13068, 26, 66, 32, 18685, 27, 203, 465, 1356, 32, 13068, 26, 66, 32, 2304, 27, 203, 465, 1356, 32, 13068, 26, 89, 32, 2304, 27, 203, 86, 13068, 26, 89, 30, 10444, 347, 978, 10185, 657, 203, 86, 983, 20183, 1285, 331, 4724, 89, 1588, 87, 7404, 203, 86, 983, 20183, 2833, 33, 100, 4724, 89, 1588, 87, 7404, 203, 86, 983, 20183, 2833, 33, 100, 4724, 89, 1588, 87, 38, 7404, 203, 944, 81, 12617, 19066, 203, 605, 81, 34039, 19066, 203, 1423, 983, 47, 500, 32, 983, 32, 35490, 4064, 761, 8223, 203, 88, 983, 12541, 43102, 5681, 203, 3332, 45314, 81, 1515, 347, 89, 1588, 87, 35, 5681, 203, 979, 1149, 81, 314, 328, 2107, 89, 1588, 87, 32, 43328, 1316, 32, 26707, 32, 2559, 586, 85, 31247, 15116, 370, 330, 89, 1588, 87, 32, 980, 32, 14341, 32, 1356, 37712, 33749, 20392, 370, 330, 89, 1588, 87, 32, 4783, 32, 7365, 32, 20392, 370, 330, 89, 1588, 87, 32, 4783, 32, 7365, 32, 3707, 12132, 284, 30780, 47, 89, 32, 3013, 6384, 26, 668, 81, 314, 30, 39891, 47, 86, 983, 27, 284, 10180, 47, 89, 32, 720, 750, 32898, 26, 12750, 27, 284, 9214, 47, 57, 32, 2754, 557, 1147, 720, 32, 2682, 9335, 26, 3210, 30, 88, 983, 30, 86, 983, 29, 668, 81, 314, 2360, 15384, 706, 432, 322, 4096, 1149, 623, 570, 1588, 87, 804, 44, 16531, 1643, 26, 668, 81, 314, 471, 1423, 983, 47, 1423, 983, 30, 3332, 45314, 81, 1515, 47, 3332, 45314, 81, 1515, 27, 284, 12198, 47, 10180, 32, 6286, 284, 9668, 47, 3210, 32, 1436, 81, 3631, 284, 1459, 440, 2232, 44, 3003, 12198, 77, 3631, 77, 34, 22191, 36, 614, 313, 2135, 9318, 12198, 77, 3631, 6448, 35, 22191, 36, 1130, 203, 589, 6784, 10780, 26, 878, 711, 284, 442, 34873, 2524, 26, 85, 436, 281, 328, 1344, 415, 281, 32, 297, 279, 1516, 346, 556, 281, 328, 6660, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 2, 2, 3, 0, 1, 1, 4, 4, 2, 2, 1, 1, 4, 4, 2, 2, 0, 3, 2, 3, 0, 4, 4, 3, 4, 3, 5, 4, 5, 5, 5, 3, 0, 4, 4, 3, 4, 3, 5, 4, 5, 5, 3, 0, 4, 4, 3, 4, 3, 5, 4, 5, 5, 5, 5, 3, 0, 4, 4, 3, 4, 3, 5, 4, 5, 3, 0, 4, 4, 3, 4, 3, 5, 4, 5, 3, 0, 4, 4, 3, 4, 3, 5, 4, 5, 3, 0, 3, 3, 3, 4, 3, 5, 4, 6, 6, 6, 0, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 0, 3, 3, 3, 2, 0, 3, 3, 2, 6, 5, 6, 4, 5, 4, 5, 5, 0, 3, 3, 2, 4, 4, 0, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 7, 6, 7, 7, 6, 7, 7, 7, 6, 8, 7, 8, 8, 6, 2, 2, 4, 7, 6, 7, 7, 7, 6, 7, 6, 2, 2, 4, 8, 7, 8, 8, 8, 8, 6, 7, 7, 6, 7, 6, 7, 7, 6, 8, 8, 7, 8, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 9, 9, 8, 8, 8, 7, 8, 8, 6, 8, 8, 8, 8, 7, 8, 8, 8, 8, 6, 2, 2, 4, 4, 5, 6, 2, 2, 4, 6, 5, 6, 6, 6, 2, 2, 5, 7, 7, 7, 5, 7, 9, 8, 9, 8, 7, 6, 5, 7, 7, 5, 7, 9, 8, 10, 8, 7, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 5, 6, 5, 6, 6, 6, 5, 6, 9, 10, 10, 10, 9, 7, 7, 8, 8, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 3, 3, 2, 0, 3, 3, 0, 0, 1, 1, 3, 3, 0, 0, 3, 3, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 3, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 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, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 20, 20, 1, 1, 20, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 20, 20, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 3, 2, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 3, 3, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 9, 2, 2, 1, 0, 0, 0, 0, 11, 2, 2, 2, 2, 1, 5, 5, 0, 0, 2, 2, 5, 5, 0, 0, 2, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 3, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 7, 0, 21, 21, 1, 2, 1, 2, 21, 21, 0, 2, 1, 1, 1, 2, 2, 2, 1, 3, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 1070, 8206, 13835, 32, 2958, 1188, 1245, 203, 1070, 8206, 13835, 32, 28783, 1188, 30633, 30, 13423, 203, 1070, 8206, 13835, 32, 1840, 32, 1786, 1188, 13957, 203, 1070, 8206, 13835, 32, 1840, 32, 1574, 1188, 2032, 203, 1070, 7120, 906, 2371, 96, 32, 19681, 1188, 14884, 3951, 203, 1070, 7120, 906, 2371, 96, 32, 105, 757, 1188, 4166, 12214, 30, 766, 3775, 624, 757, 2059, 2214, 30, 766, 3775, 624, 757, 2059, 5506, 203, 589, 22213, 26, 106, 30, 533, 711, 664, 442, 816, 319, 533, 203, 823, 32081, 2059, 35, 5506, 26, 73, 757, 2059, 5506, 711, 664, 665, 544, 3135, 2961, 26, 784, 711, 397, 630, 32, 3317, 17658, 1562, 12214, 440, 525, 555, 2763, 32, 508, 33, 6656, 33, 10261, 21, 8829, 392, 22213, 27, 397, 630, 32, 3317, 1868, 1562, 12214, 440, 525, 555, 2763, 32, 508, 33, 6656, 33, 10261, 21, 1113, 392, 630, 30, 32081, 2059, 35, 5506, 32, 1409, 1721, 27, 397, 630, 32, 3317, 1562, 12214, 26, 784, 30, 313, 525, 555, 2763, 32, 508, 33, 6656, 33, 10261, 21, 657, 664, 477, 1358, 12214, 440, 669, 657, 664, 665, 745, 1103, 26, 784, 30, 816, 30, 533, 711, 397, 442, 816, 474, 533, 664, 665, 745, 1721, 26, 784, 30, 816, 30, 533, 711, 397, 442, 816, 429, 533, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 664, 415, 2069, 26, 3731, 32, 6118, 27, 848, 225, 35, 461, 5237, 32, 6118, 77, 35, 79, 610, 330, 2811, 950, 397, 1245, 32, 1366, 11161, 26, 3731, 32, 9362, 27, 397, 4588, 280, 2933, 664, 813, 44, 397, 4588, 280, 3177, 664, 7763, 280, 624, 757, 2059, 2214, 440, 3604, 555, 5007, 44, 43, 34, 34, 34, 392, 4588, 73, 757, 280, 4588, 27, 664, 7763, 32, 5721, 280, 32081, 2059, 35, 5506, 664, 7763, 32, 470, 5506, 2031, 26, 4568, 58, 782, 1075, 41, 40, 280, 2933, 27, 664, 14884, 3951, 26, 5792, 27, 664, 2676, 1515, 280, 2032, 46661, 664, 2676, 280, 13957, 26, 1840, 1515, 27, 664, 30633, 32, 12220, 12364, 26, 42, 34, 42, 34, 30, 2676, 27, 664, 30633, 32, 1945, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 8, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 6, 6, 6, 8, 8, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 7, 9, 8, 9, 7, 5, 5, 6, 4, 4, 7, 8, 6, 7, 6, 5, 5, 7, 7, 3, 3, 7, 8, 8, 7, 9, 8, 9, 7, 4, 4, 6, 6, 3, 3, 4, 4, 4, 7, 7, 2, 2, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 7, 7, 6, 2, 2, 5, 6, 4, 4, 5, 5, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 6, 6, 5, 2, 2, 5, 5, 6, 5, 2, 2, 5, 4, 4, 6, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 5, 6, 6, 5, 6, 6, 6, 6, 5, 5, 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 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 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, 0, 0, 1, 2, 5, 5, 0, 0, 6, 6, 0, 0, 0, 1, 2, 2, 6, 6, 0, 6, 6, 5, 6, 0, 0, 0, 6, 6, 8, 6, 0, 0, 0, 0, 7, 7, 2, 1, 2, 2, 2, 7, 7, 0, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 1, 1, 1, 2, 8, 8, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 5, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 9, 9, 0, 0, 1, 1, 1, 1, 9, 9, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 3, 1, 3, 3, 0, 2, 0, 0, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 1, 1, 1, 3, 3, 0, 0, 0, 1, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 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 ]
[ 109, 203, 38065, 1581, 687, 19, 950, 330, 1549, 370, 203, 38065, 1581, 426, 19, 950, 330, 26573, 344, 3795, 278, 277, 370, 203, 21735, 75, 9299, 95, 9299, 86, 950, 6611, 75, 9299, 95, 9299, 86, 370, 203, 21735, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 950, 6611, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 370, 203, 21735, 101, 12846, 109, 643, 111, 8128, 950, 6611, 101, 5760, 8128, 370, 203, 21735, 101, 12846, 109, 643, 111, 4459, 950, 6611, 101, 5760, 4459, 370, 203, 32312, 13966, 19712, 2857, 27, 950, 15584, 29874, 297, 19712, 372, 4192, 742, 7243, 203, 32312, 20282, 2124, 313, 283, 31, 283, 657, 950, 15584, 91, 5231, 1259, 500, 313, 283, 31, 283, 657, 370, 203, 25, 50, 1826, 887, 78, 106, 34, 35, 47648, 44, 1115, 23, 101, 326, 12846, 109, 761, 111, 950, 330, 4167, 3748, 44, 1115, 23, 101, 326, 456, 5884, 268, 370, 203, 25, 11936, 950, 330, 97, 271, 370, 203, 25, 11936, 3022, 950, 330, 65, 271, 3460, 370, 203, 25, 11641, 1340, 436, 1370, 3022, 950, 330, 48613, 13520, 831, 402, 33870, 1044, 3022, 370, 203, 25, 4191, 2898, 950, 330, 4191, 17311, 279, 370, 203, 25, 2727, 636, 44, 950, 330, 5747, 5499, 404, 12454, 203, 25, 1791, 5605, 3882, 950, 330, 424, 19173, 5605, 341, 481, 2103, 655, 370, 203, 25, 2140, 436, 47749, 950, 330, 762, 3748, 33870, 47749, 370, 203, 25, 10780, 950, 330, 934, 774, 3001, 22919, 370, 203, 25, 13788, 950, 330, 93, 592, 414, 265, 370, 203, 25, 8496, 950, 330, 1467, 292, 265, 8325, 370, 203, 25, 1922, 950, 330, 101, 479, 98, 370, 203, 25, 8245, 950, 330, 6285, 370, 203, 25, 8245, 544, 6597, 1995, 10073, 950, 330, 501, 103, 305, 5499, 6597, 1995, 10073, 36296, 370, 203, 25, 3579, 950, 330, 105, 1269, 365, 370, 203, 25, 3579, 3022, 950, 330, 73, 1269, 365, 3460, 370, 203, 25, 7352, 950, 330, 88, 35180, 370, 203, 25, 9030, 950, 330, 90, 8603, 370, 203, 25, 7203, 950, 330, 2325, 3577, 265, 370, 203, 25, 23329, 9264, 950, 330, 4571, 2325, 3577, 42040, 11550, 370, 203, 25, 25595, 950, 330, 70, 1552, 370, 203, 25, 3786, 436, 950, 330, 62, 297, 1229, 1075, 33870, 370, 203, 25, 21628, 950, 330, 12646, 370, 203, 25, 4811, 950, 330, 1243, 274, 370, 203, 25, 12242, 950, 330, 12242, 370, 203, 25, 1812, 3022, 30032, 950, 330, 15168, 1376, 1123, 30032, 370, 203, 25, 1812, 4281, 3022, 950, 330, 15168, 1376, 484, 2121, 644, 1323, 300, 1123, 370, 203, 25, 40448, 6713, 1123, 950, 330, 1990, 994, 88, 337, 271, 3226, 2325, 3577, 42040, 3460, 370, 203, 25, 9004, 1169, 950, 330, 2423, 743, 1882, 370, 203, 25, 15470, 950, 330, 15470, 370, 203, 25, 6768, 318, 810, 950, 330, 51, 682, 24223, 88, 409, 305, 370, 203, 25, 7294, 950, 330, 2851, 370, 203, 25, 2130, 30032, 950, 330, 1366, 30032, 370, 203, 25, 5972, 2276, 950, 330, 5972, 2276, 370, 203, 25, 69 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 5, 5, 5, 5, 3, 5, 5, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 2, 2, 5, 5, 5, 3, 5, 5, 5, 2, 2, 5, 5, 5, 3, 5, 5, 5, 2, 2, 5 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 19, 0, 1, 1, 0, 0, 0, 1, 1, 21, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 23, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 25, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 27, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 29, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 31, 0, 1, 1, 1, 1, 0, 0, 0, 1, 33, 0, 1, 1, 1, 1, 0, 0, 0, 1, 35, 0, 1, 1, 1, 1, 0, 0, 0, 1, 37, 0, 1, 1, 1, 1, 0, 0, 0, 1, 39, 0, 1, 1, 1, 0, 0, 0, 1, 41, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 43, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 45, 0, 1, 1, 1, 0, 0, 0, 1, 1, 47, 0, 1, 1, 1, 1, 0, 0, 0, 1, 49, 0, 1, 1, 0, 0, 0, 1, 51, 0, 1, 1, 0, 0, 0, 1, 53, 0, 1, 1, 1, 0, 0, 0, 1, 1, 55, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 57, 0, 1, 1, 0, 0, 0, 1, 1, 59, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 61, 0, 1, 0, 0, 0, 1, 63, 0, 1, 1, 0, 0, 0, 1, 65, 0, 1, 0, 0, 0, 1, 1, 1, 67, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 69, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 71, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 73, 0, 1, 1, 1, 0, 0, 0, 1, 75, 0, 1, 0, 0, 0, 1, 1, 1, 77, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 79, 0, 1, 0, 0, 0, 1, 1, 81, 0, 1, 1, 0, 0, 0, 1, 1, 83, 0, 1, 1, 0, 0, 0 ]
[ 465, 4395, 203, 1070, 1289, 26870, 826, 1188, 14735, 619, 34856, 81, 14806, 203, 1070, 2322, 315, 32, 1163, 1188, 8444, 203, 1070, 2322, 315, 32, 2304, 1188, 13489, 2304, 203, 1070, 1168, 33367, 1188, 1619, 619, 310, 81, 1819, 203, 1070, 1168, 33367, 32, 91, 35, 42, 96, 1188, 617, 815, 203, 1070, 1168, 33367, 1188, 7884, 203, 1070, 1168, 33367, 32, 26878, 32, 2282, 1188, 1245, 619, 5741, 203, 1070, 1168, 33367, 32, 26878, 32, 2282, 1188, 11171, 2304, 203, 1070, 1168, 33367, 32, 5558, 32, 2282, 1188, 12388, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 81, 6572, 280, 11171, 2304, 32, 5536, 81, 6572, 203, 823, 9145, 17278, 1006, 4399, 13976, 26, 1473, 711, 284, 477, 2433, 284, 665, 617, 1262, 81, 2796, 26, 784, 711, 291, 442, 7884, 32, 6515, 33367, 1572, 32, 371, 81, 2796, 346, 284, 665, 617, 3613, 81, 94, 37, 81, 2300, 81, 15213, 26, 784, 711, 291, 630, 32, 15213, 81, 314, 81, 3499, 96, 81, 98, 280, 4395, 32, 2675, 26, 324, 330, 941, 33367, 32, 5558, 32, 42759, 32, 1199, 32, 94, 37, 32, 2929, 81, 26775, 81, 1199, 4564, 324, 330, 3033, 17278, 13976, 32, 94, 37, 81, 15213, 81, 314, 683, 291, 630, 32, 15213, 81, 314, 81, 3499, 96, 280, 630, 32, 15213, 81, 314, 81, 3499, 96, 81, 98, 32, 1366, 346, 291, 630, 32, 15213, 81, 314, 81, 3499, 96, 32, 601, 81, 853, 280, 313, 62, 37, 4191, 41146, 20, 284, 665, 617, 1297, 81, 20898, 81, 19591, 81, 979, 81, 4882, 26, 784, 30, 4550, 711, 291, 630, 1114, 20898, 81, 19591, 280, 630, 1114, 2682, 81, 4573, 26, 3972, 30, 12928, 8444, 32, 14594, 32, 8304, 32, 9331, 81, 4573, 30, 12928, 2933, 30, 17086, 81, 314, 347, 62, 37, 4191, 41146, 392, 12928, 7176, 47, 2700, 27, 291, 630, 1114, 20898, 81, 19838, 280, 630, 1114, 2682, 81, 19838, 26, 3972, 30, 630, 1114, 20898, 81, 19591, 30, 13588, 313, 35, 34, 32, 34, 32, 35, 34, 34, 32, 35, 392, 313, 35, 34, 32, 34, 32, 35, 34, 34, 32, 34, 33, 36, 38, 392, 13588, 4749, 81, 1648, 47, 38, 27, 284, 665, 617, 2546, 81, 20898, 81, 19591, 81, 979, 81, 4882, 26, 784, 711, 291, 2678, 81, 98, 280, 313, 4573, 81, 314, 6132, 101, 20, 904, 630, 1114, 20898, 81, 19591, 710, 4573, 4902, 314, 785, 291, 20072, 101, 280, 630, 1114, 668, 463, 19838, 101, 370, 2467, 81, 2132, 47, 99, 81, 98, 27, 291, 415, 20072, 101, 44, 324, 436, 298, 328, 630, 1114, 668, 463, 11170, 370, 2467, 81, 2132, 47, 99, 81, 98, 547, 371, 463, 11170, 7831, 400, 630, 1114, 2560, 463, 11170, 370, 298, 710, 314, 3490, 324, 630, 1114, 2560, 463, 19838, 101, 370, 630, 1114, 20898, 81, 19838, 710, 19838, 4902, 314, 3490, 324, 630, 1114, 2560, 463, 24770, 370, 630, 1114, 20898, 81, 19591, 710, 4573, 4902, 314, 3490, 284, 665, 617, 15007, 329, 826, 81, 4255, 81, 668, 26, 784, 30, 1169, 47, 1815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 2, 2, 4, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 8, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 8, 11, 12, 10, 11, 9, 10, 10, 10, 8, 8, 8, 8, 8, 10, 10, 9, 11, 11, 11, 11, 11, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 10, 11, 11, 11, 9, 11, 11, 10, 10, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 8, 10, 10, 9, 10, 10, 10, 8, 4, 4, 5, 6, 5, 5, 5, 7, 7, 7, 11, 12, 11, 13, 13, 11, 13, 13, 12, 13, 13, 13, 11, 10, 9, 11, 11, 7, 7, 11, 12, 11, 13, 13, 11, 12, 14, 14, 6, 6, 9, 10, 9, 11, 11, 11, 9, 12, 13, 13, 13, 11, 13, 13, 12, 12, 6, 6, 9, 10, 9, 11, 11, 9, 12, 13, 13, 13, 11, 13, 13, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 3, 3, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 4, 4, 3, 3, 2, 2, 0, 5, 5, 0, 1, 2, 2, 2, 2, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 3, 3, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 12, 12, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 7, 1, 1, 1, 1, 2, 1, 1, 9, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 9, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 2, 3, 3, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 3, 3, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2 ]
[ 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, 2304, 32, 7485, 1188, 1044, 33170, 619, 617, 203, 465, 17582, 867, 203, 1070, 25312, 834, 1188, 2899, 203, 1070, 831, 1507, 6854, 32, 18023, 1728, 32, 3378, 1188, 41649, 31080, 203, 1070, 831, 1507, 6854, 32, 1036, 97, 32, 28497, 1188, 1133, 283, 203, 1070, 831, 1507, 6854, 32, 1036, 97, 32, 1935, 81, 2304, 1188, 1930, 81, 2200, 30, 10061, 81, 7485, 30, 3240, 81, 6286, 203, 50, 2795, 346, 203, 50, 1003, 283, 203, 589, 3240, 81, 1363, 81, 1935, 26, 46867, 81, 314, 711, 284, 1596, 44, 291, 16852, 31080, 280, 41649, 31080, 32, 5740, 32, 371, 26, 3174, 47, 46867, 81, 314, 27, 284, 2940, 41649, 31080, 32, 34747, 44, 291, 442, 284, 2350, 280, 16852, 31080, 32, 1363, 284, 4250, 280, 2680, 32, 5740, 32, 2029, 26, 6332, 505, 266, 6020, 1363, 1130, 284, 14917, 81, 1286, 280, 17582, 867, 32, 6008, 26, 46867, 32, 1286, 81, 12881, 30, 768, 5911, 33792, 16469, 47, 1815, 547, 7201, 346, 284, 4096, 81, 5321, 280, 5053, 1286, 950, 14917, 81, 1286, 30, 528, 330, 1286, 81, 916, 950, 16852, 31080, 32, 1286, 81, 12881, 30, 528, 330, 4116, 950, 13957, 32, 5740, 32, 371, 81, 1700, 922, 4116, 111, 284, 1344, 81, 2387, 280, 330, 18023, 1728, 33, 1935, 33, 46867, 32, 94, 2760, 25, 284, 4159, 81, 2387, 280, 330, 18023, 1728, 33, 1935, 33, 46867, 32, 916, 25, 284, 477, 4770, 81, 7485, 284, 665, 617, 2682, 81, 2200, 26, 6921, 30, 1256, 711, 291, 5383, 280, 30121, 1812, 16852, 31080, 436, 301, 1363, 111, 1814, 1643, 26, 324, 2350, 47, 1363, 32, 426, 27, 291, 10869, 280, 1930, 81, 2200, 26, 6250, 47, 6250, 30, 656, 1344, 81, 2387, 47, 878, 81, 2387, 30, 656, 4159, 81, 2387, 47, 916, 81, 2387, 30, 656, 1619, 81, 6862, 47, 1935, 81, 5321, 30, 656, 645, 81, 1935, 47, 3550, 32, 30426, 9825, 81, 9067, 81, 12339, 30, 656, 372, 81, 1935, 47, 496, 32, 1935, 27, 291, 442, 10869, 284, 5218, 280, 1605, 284, 436, 1044, 328, 4250, 44, 291, 11259, 280, 1044, 32, 3959, 32, 6921, 556, 4070, 32, 34801, 81, 3521, 291, 5218, 32, 1689, 2176, 2682, 81, 2200, 26, 6921, 30, 1044, 490, 284, 3240, 81, 6286, 26, 6286, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 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, 1, 1, 4, 2, 2, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 1, 1, 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, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 2, 4, 4, 1, 2, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 4, 4, 4, 8, 7, 7, 11, 10, 11, 9, 10, 9, 11, 10, 11, 11, 11, 9, 4, 4, 5, 7, 6, 7, 5, 5, 5, 3, 3, 5, 5, 7, 6, 7, 3, 3, 5, 5, 8, 9, 7, 8, 7, 9, 9, 9, 8, 10, 9, 3, 3, 6, 6, 5, 5, 10, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 9, 10, 9, 10, 11, 9, 8, 7, 3, 3, 6, 6, 5, 5, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 9, 9, 7, 9, 8, 9, 9, 9, 6, 6, 6, 9, 9, 7, 11, 12, 10, 11, 11, 11, 10, 9, 6, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 8, 8, 14, 14, 14, 14, 14, 14, 14, 14, 11, 10, 10, 10, 11, 13, 12, 13, 10, 6, 6, 8, 8, 10, 10, 10, 12, 11, 12, 10, 10, 10, 12, 12, 11, 12, 12, 12, 10, 10, 10, 12, 12, 11, 12, 12, 12, 10, 10, 10, 12, 12, 11, 12, 12, 12, 10, 10, 10, 12, 12, 11, 13, 12, 13, 13, 13, 13, 13, 13, 10, 10, 10, 12, 12, 11, 13, 12, 13, 10, 6, 6, 7, 3, 3, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 7, 7, 10, 11, 9, 10, 8, 8, 9, 10, 10, 10, 5, 5, 8, 9, 8, 10, 10, 10, 10, 11, 10, 10, 10, 3, 3, 6, 6, 6, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 0, 1, 2, 2, 1, 4, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 2, 1, 4, 7, 7, 0, 0, 8, 8, 0, 0, 1, 2, 2, 1, 4, 4, 4, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 1, 9, 1, 1, 1, 9, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 3, 0, 1, 2, 3, 3, 3, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 1, 5, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 5, 0, 2, 0, 2, 2, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 7, 7, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 0, 0, 9, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 11, 0, 2, 2, 1, 4, 4, 2, 4, 4, 0, 0, 4, 4, 9, 9, 9, 9, 9, 9, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 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 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 370, 528, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 27474, 3945, 81, 2946, 81, 4229, 81, 2468, 81, 1274, 203, 4021, 81, 2310, 44, 15091, 18775, 2965, 10343, 328, 36101, 13246, 1182, 36101, 15886, 461, 36101, 91, 18309, 32, 203, 2310, 44, 284, 429, 1348, 2297, 438, 5300, 372, 8488, 312, 36101, 91, 18309, 556, 36101, 15886, 308, 37435, 27, 3298, 810, 18081, 322, 397, 1256, 372, 739, 461, 5351, 2664, 2787, 461, 6424, 81, 2468, 81, 1274, 6215, 32, 397, 15950, 2305, 1169, 3377, 461, 2078, 1849, 372, 526, 30198, 372, 19634, 2114, 2670, 6886, 32, 397, 27859, 623, 506, 2636, 354, 40, 32, 34, 32, 39, 203, 1648, 81, 11043, 44, 313, 36, 32, 43, 20, 203, 2116, 44, 284, 429, 488, 365, 8335, 2244, 17691, 488, 17681, 108, 11931, 47356, 17681, 108, 7059, 108, 1552, 108, 27, 284, 429, 489, 18658, 302, 34963, 11931, 349, 418, 33894, 27, 203, 8886, 44, 284, 429, 33242, 27474, 3945, 1237, 4253, 18909, 810, 36101, 13246, 284, 429, 4489, 619, 312, 2196, 81, 1141, 328, 1370, 4654, 2609, 203, 15965, 44, 284, 429, 27474, 3945, 1237, 7148, 34, 32, 43, 32, 42, 203, 2184, 44, 284, 3408, 44, 291, 3048, 44, 324, 429, 36101, 15886, 556, 36101, 91, 18309, 4600, 2965, 32, 291, 827, 44, 596, 291, 2129, 44, 901, 284, 952, 44, 291, 3048, 44, 324, 429, 36101, 15886, 556, 36101, 91, 18309, 952, 32, 291, 827, 44, 596, 291, 2129, 44, 901, 284, 3882, 44, 291, 3048, 44, 324, 429, 36101, 15886, 556, 36101, 91, 18309, 3882, 32, 291, 827, 44, 596, 291, 1244, 44, 3330, 284, 354, 4722, 44, 291, 3048, 44, 324, 429, 13662, 5880, 30, 17660, 5521, 3417, 12916, 32, 399, 354, 4722, 438, 312, 1090, 3501, 1980, 432, 322, 36101, 91, 18309, 688, 883, 526, 9577, 461, 1090, 1654, 619, 312, 3449, 4201, 32, 291, 827, 44, 596, 291, 1244, 44, 3051, 284, 1678, 44, 291, 3048, 44, 324, 429, 25444, 415, 322, 5167, 22057, 36101, 91, 18309, 2298, 793, 24859, 7079, 32, 291, 827, 44, 1560, 291, 1244, 44, 861, 284, 17778, 81, 6967, 44, 291, 3048, 44, 324, 429, 14045, 3009, 36101, 91, 18309, 10282, 2298, 526, 20442, 810, 312, 7240, 10556, 32, 291, 827, 44, 1560, 291, 1244, 44, 861, 284, 1603, 44, 291, 3048, 44, 324, 429, 25444, 4946, 372, 1487, 556, 3345, 322, 1300, 32, 291, 827, 44, 596, 291, 2129, 44, 861, 291, 16682, 44, 324, 429, 5024, 324, 429, 40118, 284, 2664, 81, 4229, 81, 2468, 81, 1274, 44, 291, 3048, 44, 324, 429, 15091, 18775, 2965, 10343, 32, 291, 1244, 44, 744, 291, 827, 44, 5436, 291, 1361, 2184, 44, 324, 2568, 44, 400, 3048, 44, 528, 429, 13199, 636, 32, 6374, 2664 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 7138, 203, 1070, 30902, 1188, 3738, 619, 5552, 2516, 30, 4527, 203, 1070, 30902, 32, 37995, 101, 32, 34959, 1364, 32, 1439, 1188, 13416, 4852, 30, 488, 3181, 22989, 203, 465, 5237, 203, 823, 13416, 4852, 81, 339, 9605, 1237, 26, 2739, 4852, 711, 284, 665, 1056, 81, 10075, 26, 784, 30, 38043, 30, 932, 681, 711, 291, 665, 2164, 26, 853, 711, 324, 415, 827, 26, 853, 27, 438, 7138, 32, 770, 44, 400, 442, 7138, 32, 6665, 26, 853, 32, 4548, 30, 786, 32, 5904, 30, 786, 32, 3368, 27, 324, 442, 786, 291, 442, 2164, 203, 823, 488, 3181, 22989, 81, 339, 9605, 1237, 26, 2739, 37850, 711, 284, 9567, 81, 101, 2600, 81, 643, 998, 280, 2933, 284, 9567, 81, 101, 2600, 81, 6844, 81, 643, 998, 280, 2933, 284, 9567, 81, 9941, 280, 5237, 32, 1449, 9941, 610, 225, 40, 39, 39, 37, 39, 284, 9567, 81, 9941, 81, 23142, 280, 2933, 284, 5398, 280, 330, 339, 9605, 1237, 25, 284, 477, 17614, 284, 665, 1188, 81, 1199, 1237, 26, 6933, 711, 291, 1188, 1544, 9605, 1237, 619, 2297, 291, 442, 2297, 284, 932, 16452, 280, 4527, 32, 1877, 81, 2991, 26, 291, 488, 3181, 22989, 32, 748, 16452, 30, 291, 301, 324, 5552, 2516, 32, 4852, 44, 13416, 4852, 81, 339, 9605, 1237, 291, 320, 284, 829, 284, 665, 1487, 81, 3517, 81, 1132, 26, 784, 30, 1984, 711, 291, 665, 1505, 81, 7345, 26, 1956, 711, 324, 415, 44341, 328, 596, 26, 1956, 711, 400, 2404, 280, 5335, 23, 101, 7362, 904, 2404, 324, 442, 2404, 291, 5036, 280, 5436, 26, 324, 308, 93, 30, 1505, 81, 7345, 26, 104, 490, 436, 831, 30, 354, 328, 1984, 32, 1217, 32, 3028, 346, 291, 829, 291, 15740, 101, 280, 3037, 2570, 47, 15259, 1305, 815, 1996, 1446, 291, 415, 330, 625, 25, 328, 5036, 44, 324, 15740, 101, 32, 1689, 440, 750, 6374, 6132, 101, 30, 904, 101, 20, 904, 4985, 308, 3494, 32, 371, 440, 2035, 2113, 5036, 32, 371, 440, 625, 14036, 291, 813, 44, 324, 15740, 101, 32, 1689, 440, 750, 6374, 6132, 101, 20, 904, 5036, 32, 371, 440, 2035, 2131, 291, 15740, 101, 32, 1689, 440, 4678, 25238, 6132, 101, 20, 904, 5036, 32, 371, 440, 4603, 2131, 291, 1256, 280, 5036, 32, 371, 440, 496, 657, 291, 415, 1256, 44, 324, 15740, 101, 32, 1689, 440, 1240, 4933, 6132, 101, 20, 904, 1256, 27, 324, 15740, 101, 32, 1689, 440, 4049, 6132, 101, 20, 904, 5036, 32, 371, 440, 2895, 392, 34612, 291, 813, 44, 324, 15740, 101, 32, 1689, 440, 9191, 733, 7337, 47, 1706, 1164, 657, 291, 442, 3813, 866, 2296, 2524, 26, 32282, 14155, 2149, 79, 284, 665, 438, 81, 18235, 26, 784, 30, 484, 30, 3387, 30, 6213, 711, 291, 442, 6937, 26, 87, 30, 630, 32, 1199, 1237, 32, 339, 9605, 1237, 32, 3954, 924, 27, 461, 766, 324, 5335, 3841, 7829, 7362, 328, 596, 26, 87, 27, 203, 37995, 280, 488, 3181, 22989, 81, 339, 9605, 1237, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 6, 5, 5, 7, 10, 11, 10, 8, 8, 9, 10, 7, 7, 7, 9, 11, 12, 11, 13, 12, 13, 11, 11, 12, 13, 11, 11, 12, 13, 11, 6, 6, 7, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 7, 7, 5, 5, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 4, 4, 6, 6, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 9, 7, 7, 5, 5, 6, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 6, 6, 8, 8, 7, 8, 8, 6, 6, 6, 7, 7, 10, 9, 10, 8, 8, 9, 9, 9, 9, 9, 7, 7, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 6, 5, 5, 7, 8, 8, 10, 11, 10, 7, 7, 10, 10, 13, 13, 13, 11, 11, 6, 6, 7, 4, 4, 6, 6, 8, 8, 8, 10, 9, 9, 11, 11, 11, 12, 11, 8, 9, 10, 10, 9, 9, 12, 13, 11, 12, 11, 8, 8, 4, 4, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 8, 8, 6, 6, 5, 5, 5, 10, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 14, 13, 14, 13, 15, 15, 11, 13, 14, 13, 15, 15, 5, 5, 6, 6, 6, 11, 10, 11, 10, 13, 13, 13, 13, 13, 11, 11, 13, 14, 13, 15, 15, 4, 4, 8, 7, 8, 7, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 12, 12, 4, 4, 6, 6, 8, 9, 8, 10, 10, 4, 4, 5, 5, 5, 5, 10, 9, 10, 9, 12, 12, 12, 12, 12, 10, 10, 9, 6, 6, 10, 9, 10, 9, 12, 12, 12, 12, 10, 10, 12, 13, 12, 14, 14, 12, 5, 5, 6, 6, 6, 11, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 11, 11, 10, 9, 10, 9, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 8, 9, 8, 8, 11, 12, 12, 10, 11, 11, 11, 9, 10, 10, 8, 6, 6, 6, 6, 9, 9, 9, 7, 7, 9, 10, 9, 0, 3, 2, 2, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 3, 3, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 4, 4, 1, 6, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 1, 4, 4, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 1, 5, 5, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 4, 4, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 2, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 3, 3, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 6, 6, 6, 6, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 6, 6, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0 ]
[ 465, 316, 203, 1070, 4377, 22235, 1188, 18044, 21055, 30, 1244, 30, 8153, 203, 1070, 4377, 1956, 1188, 3319, 30, 14533, 30, 16734, 30, 30465, 30, 3270, 30, 892, 30, 766, 284, 5104, 30, 447, 24661, 30, 12671, 203, 505, 464, 505, 280, 2107, 2235, 99, 21055, 370, 330, 1622, 814, 274, 21055, 370, 330, 16687, 21055, 785, 203, 823, 5612, 99, 21055, 26, 10851, 21055, 711, 284, 636, 280, 330, 2235, 99, 25, 284, 20664, 280, 2107, 331, 99, 785, 284, 26719, 280, 2107, 8440, 104, 785, 284, 18346, 2516, 280, 2107, 878, 33, 106, 31, 331, 99, 785, 284, 16400, 35, 280, 308, 291, 330, 5426, 370, 330, 2459, 370, 330, 2102, 370, 330, 3797, 370, 330, 4196, 370, 330, 6166, 370, 330, 3818, 370, 291, 330, 10165, 370, 330, 3012, 370, 330, 3675, 370, 330, 5030, 24648, 370, 330, 58, 27494, 370, 291, 330, 58, 19107, 27481, 370, 330, 1337, 367, 370, 330, 3325, 370, 330, 70, 25023, 370, 330, 20364, 370, 330, 5504, 370, 291, 330, 2961, 370, 330, 4173, 370, 330, 3726, 370, 330, 28054, 370, 330, 3373, 370, 330, 9809, 370, 330, 62, 17166, 370, 291, 330, 6670, 1493, 370, 330, 2235, 6670, 1493, 370, 330, 27707, 5738, 370, 330, 12338, 370, 330, 24461, 370, 291, 330, 8555, 370, 330, 885, 370, 330, 35830, 370, 330, 1222, 1029, 370, 330, 15891, 370, 330, 66, 1575, 327, 370, 291, 330, 1899, 406, 1507, 370, 330, 383, 1388, 661, 370, 330, 2235, 383, 1388, 661, 370, 330, 3157, 370, 330, 8634, 370, 291, 330, 24006, 370, 330, 2235, 6650, 285, 370, 330, 1318, 10659, 370, 330, 62, 405, 934, 370, 330, 8695, 5812, 672, 370, 291, 330, 590, 2705, 370, 330, 7331, 370, 330, 25424, 370, 330, 5297, 370, 330, 24863, 370, 330, 17357, 370, 330, 5126, 370, 291, 330, 67, 318, 370, 330, 12421, 370, 330, 11198, 370, 330, 15048, 370, 330, 32405, 370, 330, 1074, 370, 330, 3192, 370, 291, 330, 4311, 370, 330, 4014, 370, 330, 4014, 299, 370, 330, 1934, 370, 330, 3406, 370, 330, 15706, 101, 370, 330, 19925, 370, 291, 330, 31238, 370, 330, 2140, 370, 284, 829, 284, 16400, 36, 280, 308, 291, 330, 37459, 370, 330, 4658, 370, 330, 4658, 36, 370, 330, 6381, 370, 330, 3299, 370, 330, 331, 3299, 370, 330, 1167, 370, 291, 330, 2872, 370, 330, 416, 370, 225, 330, 266, 370, 330, 601, 370, 330, 730, 370, 330, 325, 370, 330, 297, 370, 330, 3356, 370, 330, 1824, 370, 291, 330, 979, 370, 330, 1028, 370, 330, 14731, 3106, 370, 330, 1793, 370, 330, 302, 370, 284, 829, 284, 16400, 37, 280, 308, 291, 330, 620, 370, 330, 6567, 370, 284, 829, 284, 16400, 38, 280, 308, 291, 330, 3605, 370, 330, 470, 370, 330, 1500, 370, 330, 1732, 370, 330, 29716, 370, 330, 4699, 370, 330, 3815, 370, 330, 90, 10795, 370, 330, 11316, 370, 291, 330, 410, 4160, 370, 330, 8304, 518, 370, 330, 13141, 370, 330, 5607, 370, 330, 5483, 370, 330, 29211, 370, 291, 330, 552, 2927, 370, 330, 908, 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, 4, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 7, 7, 7, 2, 2, 4, 4, 7, 7, 7, 2, 2, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 4, 4, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 5, 2, 2, 5, 4, 4, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 2, 2, 5, 4, 4, 5, 5, 7, 7, 5, 7, 7, 5, 5, 2, 2, 5, 4, 4, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 15, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 4, 4, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 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, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 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, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 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, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2 ]
[ 465, 7138, 203, 465, 1133, 203, 1070, 7138, 1188, 30784, 30, 7138, 203, 1070, 7395, 1188, 1474, 1972, 203, 1070, 7395, 32, 1613, 5740, 1188, 319, 203, 823, 33176, 26, 1473, 711, 284, 665, 1420, 2195, 26, 1945, 7497, 711, 291, 894, 1363, 280, 6608, 6692, 32, 1613, 1363, 26, 1363, 107, 32, 1564, 32, 668, 1157, 16189, 894, 2195, 280, 6608, 6692, 32, 1613, 38281, 26, 1363, 107, 32, 9034, 32, 668, 1157, 29852, 1133, 7843, 280, 225, 34, 291, 7323, 1436, 280, 3330, 291, 1459, 440, 17818, 7051, 438, 44, 313, 474, 596, 26, 858, 1363, 490, 16189, 1459, 440, 17818, 17119, 438, 44, 313, 474, 596, 26, 858, 2195, 490, 34081, 4899, 280, 1474, 1972, 32, 30817, 26, 858, 2195, 30, 894, 1363, 27, 291, 9368, 1366, 280, 225, 37, 291, 9368, 416, 280, 225, 43, 291, 2401, 1436, 280, 7138, 32, 2174, 346, 291, 2218, 1420, 7497, 44, 324, 415, 7138, 32, 2174, 922, 11302, 2377, 9368, 1366, 461, 7138, 32, 2174, 922, 11302, 2511, 9368, 416, 44, 400, 1459, 440, 21329, 4389, 15737, 9368, 2926, 5887, 16584, 1482, 657, 400, 1133, 32, 7840, 26, 37, 34, 27, 23688, 4348, 308, 6665, 32, 2174, 346, 429, 2401, 1436, 27, 848, 30784, 26, 18461, 47, 37, 34, 711, 400, 1459, 440, 21329, 14160, 9368, 2926, 5887, 16584, 1482, 657, 400, 1133, 32, 7840, 26, 42, 27, 48188, 813, 44, 400, 1133, 32, 7840, 26, 34, 32, 36, 27, 23688, 1474, 280, 894, 1363, 32, 6286, 922, 2232, 262, 324, 1596, 44, 262, 400, 415, 4899, 32, 1327, 2501, 26, 1436, 32, 878, 32, 7201, 922, 5729, 22805, 528, 1596, 44, 715, 3946, 280, 1789, 710, 3637, 8150, 34, 5795, 1003, 785, 528, 2940, 44121, 44, 715, 3946, 280, 330, 36, 34, 34, 34, 31, 34, 39, 31, 34, 42, 225, 34, 36, 44, 34, 36, 44, 34, 36, 25, 528, 3124, 1003, 280, 1474, 32, 4524, 81, 269, 528, 415, 26, 2076, 1003, 429, 7323, 2076, 1003, 27, 848, 30784, 26, 6360, 47, 1003, 7843, 711, 715, 1256, 1274, 32, 524, 81, 1094, 26, 1014, 6324, 1279, 1378, 330, 18267, 950, 1474, 32, 496, 81, 314, 30, 1378, 330, 1003, 950, 596, 26, 1436, 32, 4524, 81, 269, 27, 1014, 320, 715, 829, 715, 4899, 32, 2956, 26, 1436, 27, 324, 2940, 29316, 44, 400, 3097, 324, 813, 44, 400, 4899, 32, 2208, 979, 30242, 26, 1436, 27, 38042, 415, 1474, 32, 878, 863, 7323, 1436, 44, 528, 1459, 26, 1436, 32, 878, 27, 528, 7323, 1436, 280, 1474, 32, 878, 528, 2401, 1436, 280, 7138, 32, 2174, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 5, 4, 3, 3, 7, 6, 6, 9, 8, 9, 9, 8, 12, 12, 11, 12, 10, 11, 10, 4, 4, 7, 6, 6, 9, 8, 9, 9, 8, 12, 12, 11, 12, 10, 11, 10, 4, 4, 7, 6, 6, 7, 4, 4, 7, 6, 6, 4, 4, 7, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 10, 4, 4, 7, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 10, 4, 4, 6, 6, 9, 8, 9, 8, 9, 9, 8, 8, 9, 8, 4, 4, 7, 6, 6, 7, 4, 4, 7, 6, 6, 7, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 5, 6, 5, 5, 5, 7, 12, 13, 12, 11, 9, 9, 10, 8, 8, 12, 13, 12, 11, 9, 9, 10, 7, 7, 7, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 8, 8, 11, 12, 11, 12, 12, 11, 7, 7, 8, 14, 13, 14, 13, 11, 11, 12, 10, 9, 9, 11, 13, 12, 13, 13, 11, 8, 8, 12, 14, 14, 14, 14, 14, 14, 14, 14, 9, 9, 12, 13, 12, 13, 12, 7, 7, 8, 8, 8, 12, 13, 12, 13, 13, 13, 12, 6, 6, 8, 8, 12, 11, 12, 11, 10, 6, 6, 6, 7, 7, 7, 7, 9, 11, 12, 12, 11, 17, 16, 17, 15, 16, 15, 14, 13, 9, 9, 11, 11, 11, 14, 14, 17, 19, 19, 17, 16, 17, 17, 11, 11, 12, 12, 12, 12, 15, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 10, 10, 13, 12, 12, 13, 14, 14, 14, 10, 10, 13, 15, 15, 14, 14, 15, 15, 13, 12, 12, 14, 16, 15, 16, 16, 14, 11, 11, 16, 15, 16, 16, 16, 15, 15, 15, 16, 17, 17, 20, 20, 18, 19, 20, 20, 20, 17, 17, 17, 20, 20, 18, 20, 22, 21, 22, 22, 22, 20, 17, 17, 15, 15, 12, 12, 15, 16, 15, 16, 15, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 12, 13, 13, 13, 12, 13, 12, 9, 9, 10, 12, 13, 11, 11, 12, 10, 10, 10, 14, 16, 15, 16, 14, 11, 11, 14, 13, 13, 14, 15, 11, 11, 14, 13, 13, 15, 16, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 2, 4, 4, 0, 5, 5, 2, 1, 2, 5, 5, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 10, 1, 10, 10, 10, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 0, 0, 4, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 0, 0, 5, 5, 5, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 3, 3, 0, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]
[ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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, 5034, 32, 90, 867, 97, 476, 81, 3922, 1188, 12259, 203, 1070, 5034, 32, 90, 867, 97, 476, 81, 1262, 32, 1495, 1188, 308, 28651, 30, 6116, 30, 284, 20871, 1176, 30, 12259, 924, 30, 284, 7819, 619, 617, 2759, 30, 892, 619, 617, 652, 30, 284, 8174, 37, 36, 30, 8174, 40, 38, 30, 284, 9282, 8733, 30, 31729, 30, 7588, 30, 16289, 3644, 30, 18394, 30, 284, 2854, 35, 40, 30, 12671, 3061, 27, 203, 1070, 5034, 32, 90, 867, 97, 476, 81, 1262, 32, 29393, 1188, 26166, 81, 34275, 203, 1070, 5034, 32, 90, 867, 97, 476, 81, 1262, 32, 9328, 40, 37, 43, 1188, 19687, 40, 37, 43, 81, 36, 203, 1070, 5034, 32, 90, 867, 97, 476, 81, 1262, 32, 4280, 1188, 13462, 30797, 203, 1070, 5034, 32, 90, 867, 97, 476, 81, 1262, 32, 878, 81, 4531, 1188, 1344, 1972, 30, 28148, 203, 1070, 5034, 32, 90, 867, 97, 476, 81, 3922, 32, 2630, 32, 29469, 1188, 1593, 14691, 1428, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 823, 16289, 1428, 26, 4007, 3061, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 30, 636, 30, 3048, 47, 2521, 711, 291, 12671, 3061, 3667, 1664, 3207, 784, 30, 2935, 30, 636, 30, 3177, 30, 225, 42, 30, 3048, 27, 291, 595, 280, 12671, 3061, 32, 1297, 882, 26, 784, 27, 291, 415, 595, 610, 225, 34, 44, 324, 3636, 12259, 924, 463, 3817, 4991, 3104, 22735, 291, 2218, 595, 333, 225, 34, 106, 42, 34, 44, 324, 630, 1114, 891, 1454, 225, 42, 324, 595, 40167, 225, 35, 203, 823, 40661, 26, 6189, 1428, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 30, 636, 30, 3048, 47, 2521, 711, 291, 16289, 1428, 3667, 1664, 3207, 784, 30, 2935, 30, 636, 30, 3048, 27, 284, 665, 1401, 882, 26, 784, 711, 291, 442, 2933, 284, 665, 1487, 882, 26, 784, 711, 291, 3338, 280, 225, 35, 1264, 630, 1114, 891, 517, 225, 42, 319, 225, 41, 291, 786, 280, 16289, 1428, 32, 1297, 882, 26, 784, 27, 429, 3338, 291, 415, 786, 474, 225, 35, 610, 3338, 44, 324, 442, 1665, 291, 442, 786, 203, 823, 33514, 26, 18368, 711, 284, 665, 1487, 882, 26, 784, 711, 291, 3338, 280, 225, 35, 1264, 630, 1114, 891, 517, 225, 42, 319, 225, 41, 429, 225, 35, 291, 786, 280, 16289, 1428, 32, 1297, 882, 26, 784, 27, 429, 225, 37, 319, 3338, 474, 225, 35, 291, 415, 786, 610, 3338, 44, 324, 442, 1665, 291, 442, 786, 203, 589, 7819, 26, 2544, 30, 3833, 711, 284, 442, 617, 2759, 26, 4007, 3061, 26, 2544, 30, 330, 3868, 370, 3177, 30, 2935, 710, 891, 5695, 853, 28, 42, 471, 3833, 27, 203, 589, 14975, 26, 2544, 711, 284, 442, 1344, 1972, 26, 4007, 3061, 26, 2544, 30, 330, 2420, 370, 3177, 30, 2935, 710, 891, 5695, 853, 28, 42, 471, 291, 9254, 7311, 44, 596, 26, 7190, 32, 853, 863, 225, 34, 490, 203, 589, 13055, 26, 2544, 711, 284, 442, 12671, 3061, 26, 2544, 30, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 2, 2, 3, 1, 1, 2, 2, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 4, 6, 6, 9, 8, 9, 9, 8, 9, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 9, 9, 11, 11, 11, 11, 4, 4, 5, 6, 6, 7, 7, 7, 7, 5, 5, 5, 9, 10, 8, 8, 9, 6, 6, 8, 8, 9, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 7, 10, 11, 9, 9, 10, 8, 8, 9, 4, 4, 6, 6, 10, 9, 10, 10, 9, 10, 9, 7, 7, 4, 4, 5, 7, 7, 8, 6, 6, 5, 5, 5, 7, 4, 4, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 7, 11, 12, 10, 10, 11, 9, 9, 10, 8, 8, 9, 4, 4, 6, 6, 11, 10, 11, 11, 10, 11, 10, 8, 8, 10, 9, 9, 7, 7, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 4, 4, 5, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 5, 5, 7, 7, 7, 8, 7, 7, 9, 9, 7, 7, 7, 10, 12, 12, 10, 8, 9, 7, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 7, 7, 7, 8, 7, 7, 9, 9, 7, 7, 7, 10, 12, 12, 10, 8, 9, 7, 5, 5, 6, 6, 6, 8, 11, 10, 11, 9, 9, 10, 8, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 6, 5, 5 ]
[ 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 4, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 12, 12, 2, 1, 1, 14, 14, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 4, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 5, 5, 0, 5, 5, 0, 6, 6, 1, 2, 2, 2, 2, 2, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 8, 8, 1, 2, 1, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 2, 0, 0, 2, 3, 3, 0, 0, 2, 0, 9, 9, 2, 1, 1, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 4, 4, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 4, 4, 3, 0, 10, 10, 2, 1, 2, 10, 10, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 4, 4, 3, 0, 11, 11, 2, 1, 2, 2, 2, 11, 11, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 7, 2, 1, 1, 1, 0, 12, 12, 2, 1, 2, 12, 12, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 7, 2, 1, 1, 1, 3, 3, 3, 1, 0, 0, 2, 1, 1, 2, 1, 0, 13, 13, 2, 1, 2, 13, 13, 0, 0, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 1133, 203, 1070, 6234, 1188, 617, 14285, 81, 5807, 81, 14247, 203, 1070, 4377, 11452, 1188, 20955, 1078, 924, 203, 81, 2044, 280, 1300, 346, 203, 1700, 81, 1003, 280, 18623, 26, 1003, 30, 313, 1211, 40587, 392, 1133, 32, 1003, 27, 203, 823, 20955, 26, 1473, 711, 284, 4040, 81, 14247, 280, 617, 14285, 81, 5807, 81, 14247, 284, 665, 1156, 1664, 3207, 784, 30, 3380, 47, 2521, 30, 5008, 11645, 2044, 30, 1491, 11645, 2044, 711, 291, 630, 1114, 3517, 280, 630, 1114, 4635, 81, 5457, 26, 3517, 30, 313, 3517, 657, 291, 630, 1114, 850, 280, 630, 1114, 4635, 81, 5457, 26, 850, 30, 313, 850, 657, 291, 630, 32, 2999, 280, 630, 1114, 4635, 81, 5457, 26, 2999, 30, 313, 2999, 657, 291, 630, 1114, 1366, 81, 3517, 280, 1665, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 5461, 101, 26, 3517, 6132, 100, 30, 1491, 6132, 100, 30, 3380, 6132, 100, 4731, 904, 308, 324, 827, 26, 784, 14585, 426, 7642, 324, 630, 1114, 3517, 30, 324, 630, 1114, 850, 30, 324, 630, 32, 2999, 30, 291, 829, 284, 1156, 466, 505, 280, 1156, 13707, 505, 284, 477, 17614, 284, 665, 617, 4635, 81, 5457, 26, 6933, 30, 786, 30, 636, 711, 291, 415, 786, 438, 617, 2044, 44, 324, 442, 9011, 32, 5807, 81, 14247, 291, 415, 786, 438, 1665, 556, 786, 438, 9011, 32, 5807, 81, 14247, 44, 324, 442, 786, 291, 415, 6937, 26, 853, 30, 1560, 711, 324, 3636, 10091, 26, 400, 313, 4276, 4881, 526, 312, 1905, 786, 32, 2030, 2298, 313, 400, 313, 864, 600, 629, 30, 1897, 556, 1665, 3107, 324, 829, 291, 1596, 44, 324, 1897, 26, 853, 27, 291, 2940, 308, 18082, 30, 10091, 711, 324, 3636, 10091, 26, 400, 313, 4276, 786, 904, 101, 1597, 904, 101, 30, 1273, 561, 2298, 526, 600, 313, 400, 313, 410, 30, 1897, 556, 1665, 3107, 904, 308, 426, 30, 786, 27, 324, 829, 291, 1596, 44, 324, 415, 786, 2511, 225, 34, 44, 400, 3636, 10091, 26, 528, 313, 1076, 44559, 372, 739, 904, 101, 5868, 372, 904, 101, 30, 1273, 322, 313, 528, 313, 5457, 4881, 526, 739, 372, 312, 786, 6679, 313, 528, 313, 20938, 556, 5040, 372, 225, 34, 3107, 904, 308, 426, 30, 786, 27, 400, 829, 291, 2940, 12678, 44, 324, 3636, 10091, 26, 400, 313, 4276, 786, 904, 101, 1597, 904, 101, 30, 1273, 561, 2298, 526, 600, 313, 400, 313, 410, 30, 1897, 556, 1665, 3107, 904, 308, 426, 30, 786, 27, 324, 829, 291, 442, 786, 284, 477, 17614, 284, 665, 645, 81, 1808, 26, 6933, 30, 5868, 711, 291, 442, 20955, 26, 850, 47, 5457, 30, 5008, 47, 5457, 27, 284, 665, 7892, 26, 784, 711, 291, 442, 20955, 26, 3517, 47, 784, 1114, 3517, 30, 1491, 47, 784, 1114, 850, 30, 3380, 47, 784, 32, 2999, 27, 284, 665, 1477, 81, 3517, 26, 784, 711, 291, 415, 630, 1114, 1366, 81, 3517, 438, 646, 1665, 44, 324, 3636, 20955 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 3, 3, 2, 2, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 4, 5, 6, 4, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 10, 11, 10, 9, 9, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 8, 6, 6, 6, 8, 9, 10, 10, 10, 5, 5, 6, 8, 8, 7, 7, 8, 8, 9, 10, 10, 10, 6, 6, 6, 8, 5, 5, 6, 8, 9, 8, 8, 8, 6, 6, 8, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 5, 5, 6, 6, 6, 10, 11, 10, 6, 6, 7, 9, 8, 8, 8, 7, 7, 9, 11, 11, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 12, 12, 14, 13, 13, 13, 11, 11, 5, 5, 6, 6, 6, 8, 9, 9, 10, 8, 8, 8, 10, 12, 12, 12, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 16, 16, 16, 16, 16, 16, 16, 13, 13, 15, 14, 14, 14, 12, 12, 6, 6, 7, 7, 7, 7, 9, 11, 11, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 12, 12, 14, 13, 13, 13, 11, 11, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 8, 10, 9, 10, 8, 8, 9, 10, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 9, 8, 10, 9, 10, 7, 7, 8, 10, 9, 10, 7, 7, 8, 10, 9, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 6, 5, 5, 5, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 0, 6, 6, 2, 1, 2, 6, 6, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 7, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 4, 4, 4, 4, 4, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 4, 4, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 4, 4, 5, 4, 4, 1, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 6, 2, 1, 2, 6, 6, 0, 1, 0, 1, 0, 2, 2, 1, 1, 3, 0, 2, 2, 1, 1, 5, 0, 2, 2, 1, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0 ]
[ 465, 2322, 203, 1070, 29346, 32, 1262, 1188, 4527, 203, 1070, 29346, 32, 1262, 32, 11514, 32, 11226, 1188, 2603, 81, 7128, 81, 20427, 203, 1070, 29346, 32, 1262, 32, 5134, 1188, 43876, 203, 823, 8103, 4790, 1071, 21584, 26, 27539, 32, 21584, 711, 334, 617, 5807, 81, 10539, 81, 3197, 280, 3056, 605, 33, 1696, 33, 2868, 33, 5707, 1071, 25, 334, 665, 1156, 1664, 3207, 784, 30, 5427, 81, 7878, 30, 5624, 81, 7878, 30, 1688, 81, 983, 30, 1603, 711, 284, 2599, 26, 9207, 4790, 1071, 21584, 30, 630, 14585, 1664, 3207, 291, 5427, 81, 7878, 30, 5624, 81, 7878, 30, 1688, 81, 983, 30, 1603, 27, 284, 415, 630, 1114, 7128, 81, 7878, 32, 15345, 32, 2929, 922, 974, 7530, 26, 784, 1114, 5807, 81, 10539, 81, 3197, 711, 397, 630, 1114, 7128, 81, 7878, 32, 15345, 32, 2529, 7162, 2019, 26, 616, 330, 3925, 330, 474, 2322, 32, 983, 32, 2524, 26, 784, 1114, 5807, 81, 10539, 81, 3197, 30, 13838, 2847, 284, 813, 44, 397, 630, 1114, 7128, 81, 7878, 32, 15345, 32, 2529, 7162, 2019, 26, 616, 330, 10174, 429, 98, 330, 474, 630, 1114, 5807, 81, 10539, 81, 3197, 27, 397, 630, 1114, 7128, 81, 7878, 32, 15345, 32, 2529, 7162, 2019, 26, 616, 330, 26030, 225, 41, 41, 41, 330, 474, 630, 1114, 5807, 81, 10539, 81, 3197, 27, 284, 630, 1114, 5707, 81, 2536, 280, 1605, 284, 436, 12497, 328, 630, 1114, 936, 2861, 48036, 1208, 922, 1731, 3494, 2262, 397, 3298, 81, 5937, 81, 761, 280, 6611, 101, 9708, 101, 32, 5707, 25, 904, 308, 784, 1114, 5807, 81, 10539, 81, 3197, 30, 12497, 27, 397, 630, 1114, 5707, 81, 2536, 32, 1689, 1162, 6320, 30, 3298, 81, 5937, 81, 761, 490, 397, 630, 1114, 7128, 81, 7878, 32, 15345, 32, 2529, 7162, 2019, 463, 404, 6274, 904, 101, 1477, 904, 101, 25, 904, 4180, 308, 6320, 30, 3298, 81, 5937, 81, 761, 490, 334, 477, 17614, 334, 665, 636, 26, 6933, 711, 284, 442, 330, 4038, 31, 5707, 1071, 25, 334, 477, 17614, 334, 665, 438, 81, 7095, 26, 6933, 30, 5427, 81, 681, 711, 284, 415, 5427, 81, 681, 610, 330, 1813, 950, 397, 442, 2603, 81, 7128, 81, 20427, 32, 4445, 4868, 8589, 52, 16418, 346, 284, 442, 5427, 81, 681, 32, 15990, 463, 4038, 683, 334, 665, 19783, 4290, 26, 784, 711, 284, 1688, 81, 2536, 280, 1605, 284, 436, 12497, 30, 8244, 81, 761, 328, 630, 1114, 5707, 81, 2536, 44, 397, 630, 1114, 7128, 81, 7878, 32, 15345, 32, 2529, 7162, 2019, 463, 404, 6274, 904, 101, 4719, 25, 904, 12497, 27, 397, 4527, 32, 23595, 26, 5962, 44, 630, 1114, 31395, 26, 5707, 81, 761, 27, 848, 225, 34, 30, 5868, 47, 35, 34, 27, 397, 1688, 81, 2536, 32, 1689, 26, 5707, 81, 761, 27, 284, 630, 1114, 7128, 81, 7878, 32, 15345, 32, 2929, 922, 1455, 81, 3337, 32, 51, 1199, 922, 13321, 26, 291, 630, 1114, 5807, 81, 10539, 81, 3197, 30, 630, 1114, 2024, 81, 983, 27, 284, 630, 1114 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 4, 4, 5, 11, 12, 12, 12, 10, 11, 9, 10, 9, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 5, 5, 11, 12, 12, 12, 10, 11, 9, 10, 10, 10, 9, 9, 9, 12, 12, 10, 10, 13, 14, 12, 13, 12, 14, 13, 14, 14, 14, 14, 14, 12, 12, 14, 5, 5, 6, 6, 6, 12, 13, 13, 13, 11, 12, 10, 11, 11, 11, 10, 10, 10, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 13, 13, 10, 7, 7, 12, 13, 13, 13, 11, 12, 10, 11, 11, 11, 10, 10, 10, 13, 13, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 13, 13, 10, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 5, 5, 9, 10, 10, 10, 10, 9, 8, 8, 7, 5, 5, 9, 9, 9, 9, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 12, 11, 12, 12, 12, 12, 12, 10, 10, 10, 6, 6, 10, 11, 11, 11, 9, 10, 9, 11, 10, 10, 11, 11, 11, 11, 10, 6, 6, 11, 12, 12, 12, 10, 11, 9, 10, 10, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12, 11, 11, 12, 12, 12, 12, 11, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 6, 8, 8, 7, 7, 9, 9, 6, 6, 8, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 5, 5, 6, 9, 9, 8, 9, 8, 10, 10, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 6, 6, 7, 7, 5, 5, 6, 7, 7, 7, 5, 5, 5, 11, 12, 12, 12, 10, 11, 9, 10, 10, 10, 9, 12, 12, 12, 12, 12, 12, 10, 10, 9, 6, 6, 9, 10, 9, 10, 10, 10, 13, 14, 13, 14, 14, 14, 13, 11, 11, 12, 9, 9, 10, 11, 11, 9, 6, 6, 10, 10, 9, 10, 9, 10, 10, 10, 9, 4, 4, 14, 15, 15, 15, 13, 14, 12, 13, 12, 11, 11, 11, 9, 10, 10, 9, 8, 7, 7, 7, 8, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 9 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 4, 4, 4, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 3, 3, 3, 0, 2, 2, 2, 2, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 5, 5, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 4, 4, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 0, 0, 2, 1, 1, 2, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 2, 2, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0 ]
[ 1070, 337, 3604, 1356, 32, 85, 1586, 1188, 25238, 340, 1183, 2595, 203, 1070, 337, 3604, 1356, 1188, 296, 307, 203, 465, 12643, 619, 6121, 203, 465, 7138, 619, 8793, 203, 465, 5167, 203, 465, 316, 203, 465, 1133, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 589, 2719, 81, 11400, 26, 11541, 30, 2122, 81, 800, 1057, 375, 44, 106, 31, 46131, 44, 25889, 44, 42073, 44, 431, 98, 44, 965, 7831, 284, 19990, 19066, 284, 436, 1202, 30, 4875, 328, 9212, 32, 40957, 2262, 291, 1984, 280, 2354, 1162, 86, 710, 965, 785, 436, 343, 328, 8814, 32, 6365, 415, 343, 710, 13627, 785, 610, 2719, 81, 800, 471, 1665, 27, 291, 415, 1984, 438, 646, 1665, 44, 324, 19990, 32, 1689, 26, 965, 27, 284, 442, 19990, 203, 7986, 280, 330, 525, 555, 1499, 32, 1140, 3455, 32, 1347, 2321, 32, 7182, 33, 300, 520, 373, 279, 33, 85, 1586, 25, 225, 203, 36999, 81, 5457, 47, 38, 261, 203, 85, 1586, 81, 5457, 47, 40, 34, 225, 203, 85, 1586, 280, 25238, 340, 1183, 2595, 26, 7986, 30, 5457, 47, 85, 1586, 81, 5457, 27, 203, 85, 1586, 32, 1648, 203, 77, 520, 32, 426, 436, 3089, 328, 281, 1586, 32, 14663, 79, 203, 85, 1586, 32, 371, 81, 7428, 81, 1170, 81, 426, 463, 936, 11547, 1814, 15106, 203, 979, 4331, 328, 281, 1586, 32, 14663, 44, 284, 1459, 26, 6154, 32, 426, 27, 203, 85, 1586, 32, 371, 81, 7428, 81, 1170, 81, 426, 463, 936, 11547, 1814, 15106, 203, 1270, 44, 284, 281, 1586, 32, 371, 81, 7428, 81, 1170, 81, 426, 463, 936, 5041, 683, 284, 281, 1586, 32, 371, 4116, 463, 7797, 97, 44, 42073, 370, 330, 2433, 683, 284, 1459, 26, 85, 1586, 32, 4295, 710, 2810, 3490, 203, 7343, 44, 284, 1459, 463, 936, 5041, 646, 5420, 683, 203, 695, 280, 330, 33810, 368, 25, 203, 2122, 81, 681, 280, 296, 307, 32, 1653, 1622, 12054, 26, 2433, 426, 1057, 7797, 97, 44, 42073, 370, 7538, 47, 24516, 23, 101, 37849, 904, 909, 471, 715, 15820, 2659, 1057, 1736, 370, 33677, 3588, 1057, 45896, 6270, 2659, 1057, 43841, 203, 2029, 81, 668, 280, 428, 2719, 81, 681, 79, 203, 85, 1586, 32, 371, 11541, 36, 26, 15106, 47, 2029, 81, 668, 30, 1449, 11541, 47, 35, 34, 34, 34, 34, 30, 307, 96, 1057, 2620, 683, 203, 1657, 26, 85, 1586, 32, 11541, 32, 3494, 1157, 203, 11447, 47, 3855, 32, 11447, 26, 668, 26, 85, 1586, 32, 11541, 32, 3494, 5156, 203, 1216, 26, 11447, 27, 203, 85, 1586, 32, 11541, 77, 11447, 997, 6365, 203, 36999, 81, 11400, 280, 2719, 81, 11400, 26, 85, 1586, 32, 11541, 30, 2122, 81, 800, 1057, 375, 44, 106, 31, 46131, 44, 25889, 44, 42073, 44, 431, 98, 44, 965, 683, 203, 1657, 26, 36999, 81, 11400, 27, 203, 589, 11648, 81, 86, 891, 26, 2760, 711, 284, 5881, 3701, 14883, 5890, 1334, 645, 322, 546, 6499, 9110, 1893, 475, 4135, 32, 3701, 18467, 106, 1411, 44, 44155, 225, 37, 36 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 4, 2, 2, 3, 4, 5, 3, 3, 5, 6, 5, 3, 3, 6, 6, 8, 11, 10, 12, 12, 9, 10, 10, 10, 11, 12, 9, 10, 12, 14, 14, 11, 11, 12, 12, 9, 8, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 9, 10, 9, 2, 2, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 3, 3, 3, 2, 3, 0, 0, 3, 3, 3, 3, 2, 3, 3, 0, 0, 3, 3, 2, 2, 4, 4, 4, 4, 5, 4, 6, 5, 6, 6, 6, 6, 4, 0, 3, 3, 2, 3, 0, 2, 4, 3, 4, 2, 3, 3, 3, 5, 4, 5, 2, 0, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 3, 0, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 5, 7, 6, 7, 5, 0, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 3, 0, 1, 1, 1, 1, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 2, 2, 6, 5, 6, 6, 5, 7, 7, 7, 7, 7, 5, 7, 7, 2, 2, 5, 8, 8, 7, 8, 6, 8, 8, 1, 2, 2, 2, 2, 6, 8, 8, 8, 8, 8, 0, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 6, 6, 5, 7, 7, 7, 7, 7, 6, 5, 6, 9, 9, 9, 7, 7, 6, 4, 4, 6, 5, 8, 7, 6, 6, 5, 7, 6, 6, 5, 7, 0, 3, 3, 3, 2, 2, 3, 4, 4, 3, 0, 4, 4, 3, 4, 4, 4, 3, 5, 4, 5, 5, 5, 3, 5, 5, 4, 5, 5, 5, 5, 5, 3, 5, 5, 4, 6, 6, 0, 3, 3, 7, 7, 6, 7, 5, 6, 5, 0, 3, 2, 5, 4, 5, 4, 6, 6, 10, 10, 9, 10, 8, 9, 8, 0, 3, 3, 4, 3, 0, 5, 5, 4, 5, 3, 4, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 5, 6, 4, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 3, 4, 4, 4, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 3, 3, 1, 1, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 8, 8, 1, 1, 2, 1, 2, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 4, 4, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 3, 2, 1, 3, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 3, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 3, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 16, 16, 16, 16, 0, 3, 2, 16, 16, 16, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 18, 18, 18, 18, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 18, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 5, 0, 2, 0, 0, 7, 1, 0, 0, 9, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 3, 2, 2, 2, 2, 2, 1, 0, 0, 5, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 29, 29, 1, 1, 1, 2, 1, 2, 29, 29, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 465, 316, 203, 465, 18105, 612, 203, 465, 2676, 7128, 203, 465, 29590, 203, 1070, 8206, 13835, 32, 1840, 1188, 1913, 203, 1070, 8206, 13835, 32, 1840, 32, 525, 1188, 45309, 17598, 69, 203, 1070, 341, 37, 1356, 1188, 4159, 203, 1070, 32714, 107, 32, 525, 1188, 5170, 30, 13030, 1397, 203, 589, 3361, 81, 271, 81, 466, 26, 2067, 30, 15390, 47, 1815, 711, 284, 1201, 6937, 26, 2067, 30, 308, 1397, 30, 1695, 800, 3662, 766, 291, 313, 2067, 2298, 526, 5170, 556, 1695, 800, 30, 646, 904, 101, 20, 904, 827, 26, 2067, 14585, 426, 505, 284, 415, 6937, 26, 2067, 30, 5170, 711, 291, 442, 2830, 32, 1548, 81, 302, 81, 9941, 346, 415, 15390, 813, 2830, 32, 1548, 284, 4348, 6937, 26, 2067, 30, 596, 711, 291, 442, 2830, 32, 5460, 463, 3310, 31, 42, 683, 415, 15390, 813, 2830, 284, 813, 44, 291, 442, 2830, 415, 15390, 813, 2830, 32, 4434, 463, 3310, 31, 42, 683, 203, 81, 22419, 81, 2613, 280, 18105, 612, 32, 20984, 953, 7870, 346, 203, 589, 622, 81, 1439, 81, 965, 26, 1986, 711, 284, 415, 1789, 646, 328, 617, 22419, 81, 2613, 44, 291, 1344, 280, 1789, 32, 1548, 81, 302, 81, 9941, 8532, 34, 44, 38, 34, 43, 40, 79, 291, 617, 22419, 81, 2613, 77, 1986, 79, 280, 4159, 32, 371, 81, 1439, 81, 965, 26, 878, 30, 1789, 32, 965, 30, 766, 324, 1789, 32, 8644, 27, 284, 442, 617, 22419, 81, 2613, 77, 1986, 79, 203, 81, 26588, 81, 268, 280, 316, 32, 6993, 26, 103, 20879, 26588, 48, 3424, 14682, 26588, 10154, 316, 32, 1434, 2576, 6755, 3204, 523, 316, 32, 6737, 2320, 27, 203, 81, 1423, 81, 268, 280, 316, 32, 6993, 26, 103, 20879, 1423, 3424, 4284, 3424, 14682, 1423, 10154, 316, 32, 1434, 2576, 6755, 3204, 523, 316, 32, 6737, 2320, 27, 203, 81, 2559, 586, 88, 81, 2613, 280, 18105, 612, 32, 20984, 953, 7870, 346, 203, 589, 622, 81, 2859, 81, 8188, 26, 1986, 711, 284, 415, 1789, 646, 328, 617, 2559, 586, 88, 81, 2613, 44, 291, 1344, 280, 1789, 32, 1548, 81, 302, 81, 9941, 8532, 34, 44, 38, 34, 43, 40, 79, 291, 1344, 280, 617, 26588, 81, 268, 32, 1113, 26, 103, 33280, 1344, 27, 291, 1344, 280, 617, 1423, 81, 268, 32, 1113, 26, 103, 33280, 1344, 27, 291, 617, 2559, 586, 88, 81, 2613, 77, 1986, 79, 280, 4159, 32, 371, 81, 2859, 81, 8188, 26, 878, 30, 1789, 32, 965, 30, 766, 324, 1789, 32, 8644, 27, 284, 442, 617, 2559, 586, 88, 81, 2613, 77, 1986, 79, 203, 589, 1789, 81, 1517, 81, 1436, 26, 1517, 711, 284, 442, 6611, 101, 904, 101, 25, 904, 308, 1517, 30, 1913, 32, 18263, 32, 371, 26, 410, 26, 1517, 2610, 203, 589, 1789, 81, 525, 13707, 26, 1986, 711, 284, 309, 280, 313, 5068, 33, 35, 32, 35, 904, 86, 904, 101, 78, 100, 78, 96, 20, 904, 308, 1986, 32, 1517, 30, 45309, 17598, 69, 32, 371, 26, 1986, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 5, 6, 5, 5, 7, 6, 6, 7, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 7, 8, 7, 6, 6, 2, 2, 3, 5, 6, 5, 5, 5, 3, 3, 5, 8, 9, 9, 9, 9, 9, 8, 6, 6, 6, 6, 7, 8, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 6, 9, 10, 9, 11, 11, 11, 11, 7, 7, 7, 7, 3, 3, 4, 4, 4, 6, 7, 7, 7, 7, 9, 10, 9, 11, 11, 11, 11, 0, 3, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 5, 5, 3, 3, 3, 6, 6, 9, 10, 10, 10, 10, 10, 9, 9, 8, 9, 9, 9, 9, 7, 4, 4, 8, 8, 8, 7, 8, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 10, 8, 8, 9, 8, 9, 10, 8, 2, 2, 3, 5, 5, 5, 4, 5, 4, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 7, 7, 5, 5, 6, 7, 7, 4, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 7, 7, 5, 5, 6, 7, 7, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 9, 10, 10, 10, 10, 10, 9, 9, 8, 9, 9, 9, 9, 7, 4, 4, 6, 6, 9, 9, 9, 8, 9, 8, 10, 10, 8, 8, 4, 4, 6, 6, 9, 9, 9, 8, 9, 8, 10, 10, 8, 8, 4, 4, 8, 8, 8, 8, 8, 7, 8, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 10, 8, 8, 9, 8, 9, 10, 8, 2, 2, 3, 5, 5, 5, 5, 5, 4, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 6, 6, 6, 4, 4, 6, 5, 5, 8, 9, 7, 8, 7, 9, 9, 10, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 7, 5, 5, 8, 7, 8, 6, 6, 9, 9, 8, 9, 8, 10, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 8, 8, 0, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 9, 9, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 6, 2, 1, 4, 4, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 15, 15, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 6, 2, 1, 4, 4, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 16, 16, 1, 1, 1, 1, 2, 1, 2, 16, 16, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 17, 17, 1, 1, 1, 2, 1, 2, 17, 17, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1 ]
[ 465, 2322, 203, 465, 17778, 203, 465, 1133, 203, 465, 6234, 203, 465, 1695, 40, 38, 203, 465, 5741, 203, 465, 35094, 203, 1070, 5592, 32, 48609, 1188, 6828, 3350, 203, 505, 1648, 505, 280, 330, 37, 32, 34, 32, 34, 32, 34, 25, 203, 9036, 2474, 280, 330, 641, 555, 933, 32, 508, 33, 84, 11785, 38, 25, 203, 32984, 1675, 12159, 280, 330, 641, 555, 933, 32, 508, 33, 84, 11785, 38, 25, 203, 823, 546, 1456, 924, 26, 984, 711, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 26542, 26, 784, 27, 203, 823, 617, 27774, 26, 14945, 924, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4774, 30, 319, 1132, 711, 291, 415, 4774, 32, 20643, 14728, 1986, 7831, 324, 4774, 280, 4774, 20129, 43, 79, 291, 2599, 2176, 27774, 30, 630, 14585, 1664, 3207, 3515, 30, 319, 1132, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 6611, 101, 904, 101, 25, 904, 630, 32, 1132, 77, 35, 44, 37, 79, 203, 823, 5675, 924, 2176, 27774, 711, 203, 823, 4226, 924, 2176, 27774, 711, 203, 823, 4703, 924, 26, 14945, 924, 711, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 330, 1394, 3081, 44, 7592, 645, 2016, 904, 101, 438, 5535, 25, 904, 630, 32, 1132, 203, 823, 6227, 5288, 924, 26, 14945, 924, 711, 203, 589, 7402, 1212, 26, 2142, 30, 319, 93, 3631, 30, 1115, 10407, 711, 284, 310, 280, 6828, 3350, 32, 1308, 26, 2142, 30, 11758, 27, 284, 436, 831, 328, 831, 3631, 44, 291, 415, 6937, 26, 93, 30, 1695, 800, 711, 324, 1201, 310, 32, 878, 438, 1665, 324, 310, 32, 878, 280, 831, 291, 813, 44, 324, 310, 32, 1689, 26, 93, 27, 284, 442, 310, 203, 823, 546, 1456, 44, 284, 617, 4817, 261, 280, 1665, 284, 617, 592, 81, 983, 280, 4247, 284, 617, 2035, 262, 280, 4247, 284, 617, 625, 262, 280, 225, 34, 284, 617, 10529, 225, 280, 3177, 284, 617, 699, 280, 4247, 284, 617, 2895, 280, 4247, 284, 617, 1643, 261, 280, 1665, 284, 617, 1163, 81, 761, 225, 280, 4247, 284, 617, 15917, 81, 1216, 280, 3177, 284, 617, 3515, 81, 7508, 280, 1605, 284, 617, 3515, 81, 800, 261, 280, 4247, 284, 617, 2593, 280, 4247, 284, 617, 1141, 81, 2795, 81, 668, 264, 280, 308, 330, 2560, 370, 330, 12089, 370, 330, 14957, 81, 271, 81, 1366, 81, 2795, 370, 330, 14957, 81, 34396, 81, 2795, 370, 330, 14957, 81, 32100, 81, 2795, 370, 330, 1366, 370, 330, 4048, 25, 829, 284, 617, 890, 81, 4025, 81, 1473, 81, 668, 280, 308, 330, 4867, 370, 330, 1163, 370, 330, 4792, 370, 330, 2029, 370, 330, 94, 545, 81, 21114, 370, 330, 5766, 370, 330, 7106, 370, 330, 625, 81, 668, 370, 330, 625, 81, 3585, 370, 330, 3734, 370, 330, 3734, 81, 1643, 370, 330, 8592, 370, 330, 20518, 370, 330, 1977, 370, 330, 2795, 25, 829, 284, 617, 371, 81, 5740, 81, 668, 264, 280, 308, 330, 22705, 370, 330, 15752, 370, 330, 23720, 370, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 5, 7, 8, 7, 9, 9, 5, 5, 8, 8, 9, 12, 9, 4, 4, 9, 10, 9, 9, 9, 8, 8, 8, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 6, 6, 8, 9, 7, 9, 8, 9, 7, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 3, 2, 2, 4, 4, 2, 2, 4, 2, 1, 1, 4, 4, 7, 6, 7, 6, 7, 6, 6, 6, 2, 2, 3, 3, 3, 4, 3, 3, 3, 5, 7, 8, 7, 7, 8, 7, 5, 5, 7, 9, 10, 8, 8, 6, 6, 9, 10, 8, 8, 5, 5, 6, 6, 6, 10, 11, 10, 11, 10, 2, 2, 3, 0, 1, 1, 2, 1, 1, 1, 5, 4, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 4, 2, 2, 5, 4, 4, 4, 5, 2, 2, 5, 4, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 4, 2, 2, 5, 5, 5, 4, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 4, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 4, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 12, 12, 1, 2, 1, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 13, 13, 1, 2, 1, 2, 0, 14, 14, 1, 2, 1, 2, 0, 15, 15, 1, 2, 1, 1, 2, 15, 15, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 16, 16, 1, 1, 2, 1, 1, 2, 0, 17, 17, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 17, 17, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 2, 1, 1, 3, 3, 0, 2, 0, 0, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 0, 18, 18, 1, 18, 18, 18, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2 ]
[ 1070, 8527, 32, 1199, 32, 3378, 1188, 308, 284, 6666, 1176, 30, 12059, 30, 4401, 1176, 30, 11633, 30, 3846, 30, 203, 27, 203, 823, 5612, 35984, 26, 4206, 711, 284, 667, 280, 330, 1197, 726, 940, 1955, 25, 284, 665, 1156, 1664, 3207, 784, 30, 319, 23483, 30, 1115, 7615, 711, 291, 415, 2069, 26, 23483, 27, 333, 225, 36, 44, 324, 3636, 10091, 463, 2235, 35984, 2298, 4818, 821, 6225, 3134, 15866, 683, 291, 2599, 26, 2235, 35984, 30, 630, 14585, 1664, 45909, 23483, 30, 1115, 7615, 27, 284, 665, 619, 81, 11115, 26, 784, 30, 8980, 30, 3387, 711, 291, 415, 630, 32, 2024, 81, 1495, 32, 371, 81, 3259, 81, 681, 346, 610, 330, 10215, 950, 324, 443, 2614, 6905, 8894, 26, 4206, 711, 400, 667, 280, 330, 1407, 81, 6905, 8894, 25, 324, 15866, 280, 428, 400, 2614, 6905, 8894, 26, 7672, 27, 436, 6101, 328, 630, 32, 371, 81, 1855, 81, 23483, 7662, 324, 630, 32, 470, 81, 1855, 81, 23483, 26, 23483, 27, 291, 442, 2599, 26, 2235, 35984, 30, 630, 547, 302, 81, 2602, 26, 10199, 30, 3387, 27, 203, 823, 40724, 5442, 26, 4206, 711, 284, 667, 280, 330, 46142, 25, 284, 665, 1156, 1664, 3207, 784, 30, 2841, 30, 2091, 30, 1115, 7615, 711, 291, 2599, 26, 17353, 5442, 30, 630, 14585, 1664, 3207, 1873, 30, 2091, 30, 1115, 7615, 27, 284, 665, 619, 81, 14107, 26, 784, 30, 8980, 30, 3387, 711, 291, 2098, 1552, 545, 318, 280, 630, 32, 331, 35984, 346, 291, 2098, 1552, 545, 318, 32, 626, 81, 2524, 265, 280, 330, 1276, 330, 291, 2098, 1552, 545, 318, 32, 2387, 280, 6611, 26, 23483, 27, 101, 25, 291, 442, 2599, 26, 17353, 5442, 30, 2098, 1552, 545, 318, 547, 302, 81, 2602, 26, 10199, 30, 3387, 27, 284, 665, 619, 81, 7534, 26, 784, 30, 8980, 30, 3387, 711, 291, 630, 32, 1126, 280, 330, 46142, 81, 3951, 25, 291, 630, 32, 2387, 280, 5461, 26, 1126, 27, 101, 22869, 18147, 23483, 27, 101, 4731, 291, 442, 2599, 26, 17353, 5442, 30, 630, 547, 302, 81, 2602, 26, 10199, 30, 3387, 27, 284, 665, 2098, 35984, 26, 784, 711, 291, 281, 280, 630, 32, 2991, 346, 291, 15866, 280, 428, 324, 5612, 35984, 26, 7672, 30, 3846, 463, 2847, 436, 6101, 328, 281, 32, 371, 81, 1855, 81, 23483, 346, 291, 1481, 291, 281, 32, 470, 81, 1855, 81, 23483, 26, 23483, 27, 291, 442, 281, 203, 823, 40724, 26, 4206, 711, 284, 667, 280, 1665, 284, 3079, 280, 5461, 26, 23483, 27, 101, 20, 284, 665, 1156, 1664, 3207, 784, 30, 319, 23483, 30, 1115, 7615, 711, 291, 415, 2069, 26, 23483, 27, 333, 225, 36, 44, 324, 3636, 10091, 463, 17353, 2298, 4818, 821, 6225, 3134, 15866, 683, 291, 48076, 280, 630, 1114, 41376, 26, 23483, 27, 291, 2599, 26, 17353, 30, 630, 14585, 1664, 3207, 41376, 30, 1115, 7615, 27, 284, 665, 617, 41376, 26, 784, 30, 15866, 711, 291, 415, 2069, 26, 23483, 27, 610, 225, 36, 44, 324, 442, 40724, 5442, 2740 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 6, 6, 8, 8, 5, 5, 7, 8, 8, 8, 9, 8, 7, 7, 10, 10, 12, 12, 12, 12, 12, 6, 6, 8, 8, 9, 9, 11, 11, 11, 12, 11, 9, 10, 10, 10, 12, 13, 13, 13, 13, 13, 12, 6, 6, 9, 10, 10, 10, 10, 10, 9, 10, 9, 4, 4, 5, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 7, 7, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 8, 8, 8, 7, 8, 8, 8, 8, 6, 6, 8, 8, 4, 4, 8, 8, 8, 7, 8, 6, 6, 8, 8, 8, 8, 8, 4, 4, 5, 9, 10, 10, 9, 9, 10, 10, 10, 9, 8, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 6, 6, 7, 7, 9, 9, 10, 9, 9, 11, 13, 7, 8, 8, 8, 10, 11, 11, 11, 11, 11, 10, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 5, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 2, 2, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 9, 10, 9, 9, 9, 8, 8, 8, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 9 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 0, 3, 3, 2, 1, 2, 3, 3, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1 ]
[ 465, 24495, 203, 465, 2361, 203, 465, 13092, 203, 1070, 6765, 17594, 32, 3527, 32, 887, 716, 1188, 308, 284, 45623, 81, 12455, 81, 3307, 30, 284, 45623, 81, 8472, 30, 284, 45623, 81, 4613, 718, 30, 284, 45623, 81, 4613, 718, 81, 26468, 30, 284, 45623, 81, 3624, 30, 284, 45623, 81, 17252, 81, 3307, 30, 284, 45623, 81, 34757, 30, 284, 4085, 10383, 30, 284, 14323, 2221, 30, 203, 27, 203, 1070, 6765, 17594, 32, 1262, 1188, 3309, 203, 1070, 6765, 17594, 32, 5522, 1188, 2498, 81, 5522, 81, 2292, 203, 1070, 3312, 32, 4396, 81, 3613, 1188, 25864, 3660, 30, 1476, 30, 7841, 203, 1070, 3312, 32, 3527, 32, 887, 716, 32, 2282, 1188, 5895, 81, 8055, 203, 50, 12408, 32, 12940, 26, 426, 347, 887, 716, 81, 1580, 657, 203, 589, 1847, 716, 81, 1580, 81, 12940, 2262, 284, 623, 7841, 440, 48947, 32, 3527, 32, 887, 716, 32, 887, 716, 81, 4313, 32, 2928, 716, 657, 619, 1847, 716, 81, 3613, 44, 291, 1847, 716, 81, 1580, 81, 3613, 280, 1847, 716, 81, 3613, 32, 601, 81, 853, 291, 6761, 1847, 716, 81, 1580, 81, 3613, 203, 50, 12408, 32, 12940, 26, 426, 347, 887, 716, 81, 1580, 81, 1567, 657, 203, 589, 1847, 716, 81, 1580, 81, 1567, 81, 12940, 2262, 284, 623, 7841, 440, 48947, 32, 3527, 32, 887, 716, 32, 887, 716, 81, 4313, 32, 2928, 716, 657, 619, 1847, 716, 81, 3613, 44, 291, 1847, 716, 81, 1580, 81, 3613, 280, 1847, 716, 81, 3613, 32, 601, 81, 853, 291, 1789, 81, 3613, 280, 25864, 3660, 346, 291, 3443, 81, 3613, 280, 25864, 3660, 346, 291, 3443, 81, 3613, 3667, 1978, 9818, 2671, 81, 7469, 280, 428, 324, 4320, 324, 4320, 324, 3432, 955, 26, 1260, 32, 16958, 26, 3765, 81, 8055, 471, 313, 3310, 31, 42, 2113, 291, 1481, 291, 1789, 81, 3613, 32, 2238, 32, 601, 81, 853, 280, 3443, 81, 3613, 291, 1847, 716, 81, 1580, 81, 3613, 1114, 965, 81, 1676, 32, 601, 81, 853, 280, 1789, 81, 3613, 291, 6761, 1847, 716, 81, 1580, 81, 3613, 203, 4396, 665, 894, 81, 887, 716, 81, 4255, 26, 31667, 30, 5205, 751, 30, 1847, 716, 81, 1580, 711, 284, 35741, 32, 1163, 32, 4568, 668, 81, 6173, 81, 15615, 280, 3447, 33, 858, 3612, 284, 2014, 2498, 81, 5522, 81, 2292, 26, 291, 35741, 30, 291, 4085, 10383, 30, 291, 301, 324, 4085, 10383, 44, 301, 400, 45623, 81, 8472, 44, 313, 5007, 392, 400, 45623, 81, 3624, 44, 313, 43, 34, 34, 34, 392, 400, 45623, 81, 12455, 81, 3307, 44, 313, 25870, 392, 400, 45623, 81, 17252, 81, 3307, 44, 313, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 392, 400, 45623, 81, 34757, 44, 313, 1508, 392, 324, 320, 291, 801, 284, 829, 284, 2014, 35741, 32, 4396, 81, 1366, 346, 284, 2014, 35741, 32, 4396, 81, 1521, 81, 43703, 81, 5087, 346, 284, 1201, 313, 6435, 432, 5880, 1847, 716, 15652, 20, 328, 5205, 751, 32, 878, 284, 2014, 35741, 32, 4255, 32, 4396 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 7, 7, 7, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 4, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 4, 4, 4, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 8, 9, 9, 9, 5, 5, 7, 8, 8, 8, 8, 8, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 7, 7, 7, 7, 7, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 4, 4, 4, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 8, 9, 9, 9, 5, 5, 8, 8, 7, 7, 9, 9, 5, 5, 8, 8, 7, 7, 9, 9, 5, 5, 10, 10, 9, 10, 10, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 8, 10, 10, 13, 12, 13, 12, 13, 13, 13, 12, 10, 12, 12, 12, 12, 8, 8, 5, 5, 10, 10, 9, 10, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 10, 10, 10, 10, 10, 9, 10, 10, 10, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 7, 8, 8, 8, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 2, 1, 1, 6, 7, 5, 6, 6, 6, 6, 6, 6, 4, 4, 7, 7, 7, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 7, 7, 9, 8, 8, 9, 9, 11, 11, 10, 10, 12, 12, 9, 9, 11, 11, 10, 10, 12, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 10, 10, 12, 12, 9, 9, 11, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 11, 11, 10, 10, 12, 12, 9, 9, 7, 7, 6, 6, 2, 2, 4, 6, 7, 7, 7, 6, 2, 2, 4, 6, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 5, 6, 2, 2, 4, 7, 8, 6, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 2, 2, 6, 6, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 1, 4, 4, 1, 6, 7, 7, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 0, 10, 10, 10, 2, 2, 2, 2, 2, 3, 1, 3, 3, 3, 3, 3, 5, 5, 5, 3, 10, 10, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 5, 5, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 3, 3, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 5, 5, 1, 2, 2, 2, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 9, 9, 1, 2, 2, 2, 5, 5, 1, 1, 5, 5, 0, 0, 2, 2, 2, 1, 5, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 5, 5, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 5, 5, 0, 0, 2, 0, 2 ]
[ 1070, 6440, 32, 9277, 1188, 617, 47993, 30278, 203, 1070, 1024, 874, 32, 2304, 1188, 3691, 779, 203, 1070, 1024, 874, 32, 4266, 1188, 551, 14009, 51, 81, 9842, 726, 81, 3765, 1392, 203, 1070, 1024, 874, 32, 4882, 32, 1439, 1188, 551, 13035, 27102, 7233, 203, 1070, 1024, 874, 32, 314, 1786, 1188, 16144, 5125, 12608, 203, 1070, 6440, 32, 9277, 1188, 6207, 30, 20641, 203, 1070, 6440, 32, 9277, 1188, 5895, 81, 4975, 81, 2474, 203, 1070, 6440, 32, 9277, 1188, 2340, 203, 465, 15798, 203, 1270, 44, 284, 1188, 15798, 36, 619, 15798, 203, 7343, 29986, 44, 3701, 1188, 15798, 203, 823, 2108, 17566, 27931, 26, 52, 13035, 27102, 7233, 711, 284, 5396, 280, 551, 14009, 51, 81, 9842, 726, 81, 3765, 1392, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 17566, 27931, 30, 630, 547, 23741, 346, 291, 6207, 26, 784, 32, 10802, 30, 5895, 81, 4975, 81, 2474, 27, 284, 665, 894, 81, 17960, 81, 6460, 26, 784, 711, 291, 16895, 81, 4243, 280, 630, 32, 10802, 32, 84, 13035, 81, 5522, 32, 84, 13035, 81, 17960, 101, 32, 3494, 346, 291, 436, 16895, 81, 426, 328, 16895, 81, 4243, 44, 324, 16895, 280, 630, 32, 10802, 32, 84, 13035, 81, 5522, 32, 84, 13035, 81, 17960, 101, 77, 17960, 81, 426, 79, 324, 11610, 280, 2340, 32, 16003, 346, 324, 2401, 695, 280, 16895, 32, 371, 14792, 2303, 6312, 346, 324, 415, 646, 2401, 695, 44, 400, 2182, 81, 2067, 280, 617, 47993, 30278, 440, 17566, 6312, 392, 16895, 30, 3691, 779, 1157, 400, 2182, 81, 2067, 32, 3176, 26, 528, 1780, 1057, 858, 370, 528, 9146, 1792, 47, 16003, 32, 20834, 4912, 75, 9708, 95, 9708, 86, 2113, 528, 9146, 705, 47, 16003, 32, 20834, 4912, 75, 9708, 95, 9708, 86, 2113, 528, 32004, 47, 17960, 400, 829, 400, 2182, 81, 2067, 32, 311, 1826, 12608, 5260, 346, 400, 16144, 5125, 12608, 26, 1282, 81, 2067, 27, 324, 813, 44, 400, 2401, 695, 32, 470, 3211, 705, 26, 16003, 32, 20834, 4912, 75, 9708, 95, 9708, 86, 2131, 400, 2401, 695, 32, 470, 3211, 1792, 26, 16003, 32, 20834, 4912, 75, 9708, 95, 9708, 86, 2131, 291, 436, 16895, 81, 426, 328, 16895, 81, 4243, 44, 324, 16895, 280, 630, 32, 10802, 32, 84, 13035, 81, 5522, 32, 84, 13035, 81, 17960, 101, 77, 17960, 81, 426, 79, 324, 630, 32, 6549, 26, 17960, 32, 297, 6312, 26735, 1157, 291, 436, 16895, 81, 426, 328, 16895, 81, 4243, 44, 324, 16895, 280, 630, 32, 10802, 32, 84, 13035, 81, 5522, 32, 84, 13035, 81, 17960, 101, 77, 17960, 81, 426, 79, 324, 4674, 3368, 280, 330, 36, 34, 35, 38, 33, 35, 35, 33, 36, 41, 25, 324, 2401, 695, 280, 16895, 32, 371, 14792, 2303, 6312, 346, 324, 2401, 695, 32, 470, 3211, 705, 26, 23259, 3368, 27, 324, 2401, 695, 32, 470, 3211, 1792, 26, 23259, 3368, 27, 291, 436, 16895, 81, 426, 328, 16895, 81, 4243, 44, 324, 16895, 280, 630, 32, 10802, 32, 84, 13035, 81, 5522, 32, 84 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 9, 8, 9, 7, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 11, 12, 10, 11, 11, 11, 11, 9, 10, 10, 10, 10, 10, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 8, 8, 12, 13, 11, 12, 12, 12, 12, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 9, 6, 6, 8, 8, 10, 11, 10, 6, 6, 9, 8, 8, 10, 11, 11, 11, 11, 10, 6, 6, 7, 8, 9, 7, 7, 7, 11, 11, 10, 10, 12, 12, 12, 14, 14, 14, 12, 12, 12, 14, 14, 8, 8, 12, 12, 11, 12, 11, 11, 11, 12, 14, 14, 11, 11, 13, 12, 15, 14, 15, 14, 16, 16, 16, 16, 16, 16, 11, 11, 13, 12, 15, 14, 15, 14, 16, 16, 16, 16, 16, 16, 11, 11, 12, 13, 11, 11, 8, 8, 12, 12, 11, 12, 12, 12, 12, 11, 8, 8, 11, 11, 11, 12, 12, 12, 11, 7, 7, 8, 8, 8, 13, 12, 13, 13, 13, 12, 15, 14, 15, 14, 16, 16, 16, 16, 16, 16, 9, 9, 13, 12, 13, 13, 13, 12, 15, 14, 15, 14, 16, 16, 16, 16, 16, 16, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 8, 8, 12, 13, 11, 12, 12, 12, 12, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 9, 6, 6, 9, 10, 9, 12, 11, 12, 12, 12, 11, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 8, 8, 12, 13, 11, 12, 12, 12, 12, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 9, 6, 6, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 8, 8, 10, 11, 11, 11, 11, 10, 6, 6, 10, 9, 10, 10, 10, 9, 10, 10, 9, 6, 6, 10, 9, 10, 10, 10, 9, 10, 10, 9, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 8, 8, 12, 13, 11, 12, 12, 12, 12, 10, 11 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 4, 4, 0, 1, 2, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 0, 9, 9, 9, 9, 0, 0, 1, 1, 9, 3, 3, 3, 3, 3, 0, 0, 10, 10, 1, 1, 2, 1, 1, 1, 1, 2, 10, 10, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 0, 1, 2, 1, 1, 3, 3, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 1, 5, 5, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 2, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 1, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 3, 3, 4, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2 ]
[ 465, 2322, 203, 465, 1133, 203, 1070, 15635, 32, 53, 720, 1188, 390, 720, 203, 1070, 1171, 1120, 1188, 1171, 1120, 203, 1070, 19486, 32, 7633, 1188, 6497, 203, 465, 4187, 203, 589, 43047, 26, 3607, 711, 203, 202, 761, 280, 2156, 26, 3607, 27, 203, 202, 605, 280, 803, 32, 850, 922, 7201, 346, 203, 202, 761, 32, 2679, 346, 203, 202, 601, 706, 203, 589, 622, 11105, 11884, 101, 2262, 203, 202, 1270, 44, 357, 202, 2944, 101, 280, 2156, 4207, 6789, 33, 2944, 101, 392, 330, 100, 683, 203, 202, 7343, 45338, 30, 538, 44, 357, 202, 1216, 7185, 20914, 583, 8247, 79, 12228, 372, 2156, 517, 6789, 33, 2944, 101, 392, 538, 357, 202, 601, 1605, 203, 202, 1267, 280, 428, 928, 32, 7201, 922, 2998, 463, 11134, 436, 1628, 328, 10874, 101, 79, 203, 202, 979, 1623, 328, 1056, 44, 357, 202, 1094, 77, 35, 79, 280, 1623, 77, 35, 997, 3227, 40348, 34, 38, 34, 370, 330, 11134, 203, 202, 601, 1056, 203, 589, 438, 13871, 10323, 26, 18290, 711, 203, 202, 1270, 44, 357, 202, 979, 5980, 328, 2156, 3247, 6789, 33, 18290, 101, 370, 330, 100, 7831, 355, 202, 325, 5980, 32, 7201, 922, 20643, 26, 18290, 711, 603, 202, 601, 2933, 357, 202, 601, 3177, 203, 202, 7343, 3268, 30, 538, 44, 357, 202, 1216, 7185, 20914, 583, 8247, 79, 12228, 372, 1491, 517, 6789, 33, 18290, 101, 9318, 538, 203, 589, 2290, 11884, 1943, 26, 983, 711, 203, 202, 25, 5297, 44, 2290, 11884, 1943, 4207, 3435, 33, 90, 583, 33, 6060, 33, 761, 657, 3217, 2430, 3435, 33, 90, 583, 14891, 203, 202, 983, 280, 2322, 32, 983, 32, 21379, 26, 983, 27, 203, 202, 5525, 646, 2322, 32, 983, 32, 297, 2944, 26, 983, 711, 357, 202, 983, 280, 2322, 32, 983, 32, 7781, 26, 983, 27, 203, 202, 601, 1519, 203, 10450, 2319, 81, 7204, 72, 280, 225, 34, 203, 10450, 2319, 81, 10450, 6883, 280, 225, 35, 203, 823, 25090, 583, 8247, 44, 203, 202, 589, 1156, 1664, 3207, 784, 30, 3298, 30, 10606, 444, 711, 357, 202, 784, 32, 2929, 280, 3298, 357, 202, 325, 2322, 32, 3560, 4207, 1902, 4724, 795, 104, 392, 225, 34, 711, 355, 202, 784, 32, 681, 280, 33525, 2319, 81, 7204, 72, 357, 202, 12106, 2322, 32, 3560, 4207, 1902, 4724, 1902, 2548, 86, 392, 225, 34, 711, 355, 202, 784, 32, 681, 280, 33525, 2319, 81, 10450, 6883, 357, 202, 1824, 44, 355, 202, 1216, 313, 12014, 372, 9921, 5193, 432, 517, 1902, 20, 357, 202, 784, 32, 1449, 81, 17431, 81, 1003, 280, 225, 34, 357, 202, 784, 32, 17431, 81, 10333, 280, 3177, 357, 202, 784, 32, 2135, 81, 3560, 280, 1133, 32, 1003, 346, 357, 202, 784, 32, 2135, 81, 4597, 280, 225, 34, 357, 202, 784, 32, 7212, 280, 1665, 357, 202, 784, 32, 297, 81, 7840, 299, 280, 3177, 357, 202, 784, 32, 1902, 81, 983, 280, 4247, 357, 202, 784, 32, 10300, 81, 983, 280, 4247, 357, 202, 784, 32, 2944, 81, 983, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 8, 9, 8, 7, 6, 2, 2, 6, 5, 6, 5, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 7, 7, 6, 6, 8, 10, 10, 10, 10, 10, 8, 10, 10, 3, 3, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 6, 6, 2, 2, 5, 4, 4, 10, 9, 10, 9, 8, 7, 9, 5, 6, 6, 6, 7, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 8, 7, 8, 7, 6, 6, 9, 10, 9, 9, 8, 10, 10, 10, 10, 8, 10, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 3, 5, 5, 5, 5, 7, 9, 9, 9, 9, 9, 7, 9, 9, 5, 5, 7, 7, 11, 12, 11, 10, 9, 10, 9, 7, 7, 9, 9, 4, 4, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 2, 2, 3, 3, 4, 7, 8, 6, 7, 7, 6, 7, 6, 3, 3, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 1, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 8, 7, 8, 6, 6, 4, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 7, 8, 7, 5, 5, 10, 9, 10, 8, 8, 9, 9, 9, 9, 5, 5, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 9, 8, 6, 6, 11, 10, 11, 9, 9, 10, 10, 10, 10, 5, 5, 6, 6, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 7, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 0, 6, 6, 2, 1, 2, 6, 6, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 3, 3, 0, 7, 7, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 3, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 3, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 12, 12, 1, 1, 12, 12, 12, 0, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 0, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0 ]
[ 465, 16672, 203, 465, 11412, 203, 465, 13264, 203, 3801, 280, 13264, 32, 41249, 81, 2474, 474, 2430, 12979, 81, 19923, 313, 474, 13264, 32, 41249, 81, 4530, 203, 3801, 1454, 1524, 78, 96, 11558, 1196, 322, 17722, 432, 4324, 39655, 6560, 884, 11003, 203, 436, 4335, 3236, 290, 2518, 461, 534, 2776, 265, 658, 316, 1398, 1734, 7103, 203, 589, 884, 81, 15272, 81, 979, 26, 11650, 30, 2769, 711, 284, 5881, 6970, 312, 14186, 802, 436, 1688, 30, 2702, 2769, 322, 17722, 438, 284, 11003, 436, 461, 322, 17722, 8015, 48256, 284, 442, 8930, 15457, 36, 26758, 884, 11003, 436, 2149, 25484, 1643, 26, 11650, 30, 2769, 27, 203, 3922, 280, 16672, 32, 26633, 26, 324, 14971, 81, 823, 47, 626, 2208, 32, 6189, 3234, 9030, 8736, 30, 324, 3048, 47, 3801, 324, 829, 203, 3922, 32, 669, 81, 2669, 440, 8443, 392, 3049, 347, 1612, 9460, 803, 7144, 203, 3922, 32, 669, 81, 2669, 10359, 97, 392, 528, 7915, 21932, 392, 528, 827, 47, 466, 30, 528, 3049, 347, 2301, 803, 636, 32, 4417, 6216, 1688, 415, 24143, 7144, 203, 1132, 280, 4118, 32, 2208, 81, 1132, 346, 203, 9089, 32, 1553, 81, 761, 81, 4658, 26, 1132, 32, 8443, 27, 203, 2999, 81, 2138, 280, 225, 34, 203, 2999, 81, 16361, 81, 15272, 280, 225, 34, 203, 2999, 81, 265, 81, 15272, 280, 225, 34, 203, 2999, 81, 98, 771, 81, 15272, 280, 225, 34, 203, 1793, 2156, 26, 1132, 32, 8443, 30, 330, 100, 683, 619, 296, 44, 284, 6187, 280, 11412, 32, 7167, 3300, 26, 88, 27, 284, 436, 2698, 328, 6187, 44, 291, 3380, 81, 2138, 1454, 225, 35, 291, 415, 629, 26, 643, 710, 265, 3490, 610, 13264, 32, 43518, 44, 324, 415, 629, 26, 643, 710, 98, 771, 3490, 610, 13264, 32, 43518, 44, 400, 3380, 81, 16361, 81, 15272, 1454, 225, 35, 324, 813, 44, 400, 3380, 81, 265, 81, 15272, 1454, 225, 35, 291, 4348, 629, 26, 643, 710, 98, 771, 3490, 610, 13264, 32, 43518, 44, 324, 3380, 81, 98, 771, 81, 15272, 1454, 225, 35, 203, 325, 3380, 81, 2138, 333, 225, 35, 44, 284, 1459, 313, 2023, 706, 2431, 372, 22928, 3107, 284, 4323, 26, 36, 27, 203, 1813, 81, 15272, 81, 2999, 280, 3380, 81, 16361, 81, 15272, 474, 3380, 81, 265, 81, 15272, 474, 3380, 81, 98, 771, 81, 15272, 203, 16361, 81, 19923, 280, 1897, 26, 2999, 81, 16361, 81, 15272, 27, 517, 1897, 26, 2999, 81, 2138, 27, 203, 265, 81, 19923, 280, 1897, 26, 2999, 81, 265, 81, 15272, 27, 517, 1897, 26, 2999, 81, 2138, 27, 203, 98, 771, 81, 19923, 280, 1897, 26, 2999, 81, 98, 771, 81, 15272, 27, 517, 1897, 26, 2999, 81, 2138, 27, 203, 1813, 81, 15272, 81, 19923, 280, 1897, 26, 1813, 81, 15272, 81, 2999, 27, 517, 1897, 26, 2999, 81, 2138, 27, 203, 1206, 81, 15272, 81, 19923, 280, 225, 35, 32, 34, 429, 1346, 81, 15272, 81, 19923, 203, 2999, 81, 466, 280, 17246, 3380, 39655, 4528, 21361, 1441, 25484, 1643, 26, 2999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 0, 3, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 5, 5, 5, 0, 3, 2, 2, 4, 5, 4, 4, 4, 6, 6, 5, 7, 7, 6, 7, 7, 7, 7, 4, 4, 4, 5, 6, 4, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 5, 5, 3, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 4, 5, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 6, 8, 7, 8, 6, 6, 8, 8, 4, 4, 1, 1, 1, 4, 4, 6, 7, 7, 6, 7, 6, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 7, 4, 4, 5, 8, 10, 9, 11, 11, 6, 6, 7, 8, 5, 5, 5, 7, 10, 12, 11, 13, 13, 13, 8, 8, 9, 10, 7, 7, 7, 11, 11, 11, 11, 10, 10, 11, 7, 7, 8, 8, 8, 12, 12, 12, 12, 11, 11, 12, 5, 5, 6, 9, 11, 10, 12, 12, 12, 7, 7, 8, 9, 6, 6, 6, 10, 10, 10, 10, 10, 9, 9, 10, 0, 1, 1, 3, 3, 2, 2, 3, 1, 1, 1, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 6, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 6, 6, 6, 5, 0, 3, 3, 3, 2, 2, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 6, 6, 6, 5, 0, 3, 3, 3, 3, 2, 2, 5, 6, 6, 6, 6, 6, 6, 5, 3, 3, 5, 6, 6, 6, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 6, 6, 6, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 5, 4, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 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, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 15, 15, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 15, 15, 15, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 5, 5, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 4, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 16, 16, 0, 0, 1, 1, 2, 16, 16, 16, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1 ]
[ 505, 13411, 505, 280, 313, 1617, 33, 3483, 33, 69, 8407, 33, 3653, 33, 3969, 32, 978, 225, 39, 35, 37, 38, 225, 36, 34, 35, 34, 33, 34, 42, 33, 35, 40, 225, 36, 37, 44, 34, 36, 44, 38, 34, 323, 286, 4192, 278, 20, 203, 465, 2322, 32, 983, 203, 465, 358, 8407, 32, 1796, 203, 465, 358, 8407, 32, 14490, 203, 465, 358, 8407, 32, 1212, 32, 6883, 203, 465, 358, 8407, 32, 1733, 203, 1270, 44, 284, 1188, 8529, 761, 284, 3568, 81, 3969, 280, 225, 35, 203, 7343, 29986, 44, 284, 3568, 81, 3969, 280, 225, 34, 203, 325, 3568, 81, 3969, 44, 284, 8529, 22078, 280, 8529, 761, 32, 29612, 81, 852, 3314, 8149, 284, 665, 8529, 26, 1977, 30, 1914, 30, 4533, 711, 291, 18726, 280, 4533, 32, 371, 463, 29612, 38390, 1016, 370, 225, 34, 27, 291, 1288, 88, 280, 8529, 761, 32, 13567, 974, 26, 466, 26, 1977, 77, 34, 5727, 330, 105, 370, 18726, 27, 291, 436, 309, 328, 1914, 44, 324, 415, 309, 32, 34103, 2262, 400, 436, 4921, 983, 30, 4921, 4243, 30, 26719, 328, 2322, 32, 11905, 26, 466, 26, 101, 8531, 528, 436, 18146, 328, 26719, 44, 715, 1519, 280, 2322, 32, 983, 32, 2524, 26, 1515, 983, 30, 18146, 27, 715, 415, 2322, 32, 983, 32, 29712, 26, 983, 711, 1014, 1288, 88, 32, 1821, 26, 983, 27, 324, 813, 44, 400, 1288, 88, 32, 1821, 26, 466, 26, 101, 490, 291, 1288, 88, 32, 2679, 346, 203, 1824, 44, 284, 8529, 22078, 280, 225, 34, 284, 8529, 280, 3941, 29612, 398, 29612, 6880, 2283, 9682, 32, 21379, 111, 398, 26803, 20, 203, 3969, 1711, 280, 358, 8407, 32, 1711, 32, 1711, 26, 3969, 30, 773, 668, 11414, 29612, 38390, 1016, 3490, 203, 13567, 1796, 280, 358, 8407, 32, 1796, 32, 1796, 26, 1141, 280, 358, 8407, 32, 1711, 32, 1711, 24542, 29612, 8670, 370, 8493, 29612, 8670, 2378, 1425, 9111, 1914, 81, 5792, 280, 358, 8407, 32, 1212, 32, 6883, 32, 2711, 30, 9111, 1914, 81, 20333, 280, 358, 8407, 32, 14490, 32, 2976, 13038, 30, 9111, 12809, 280, 8493, 29612, 28056, 370, 9111, 6959, 280, 225, 35, 27, 203, 589, 4450, 26, 2121, 711, 284, 1596, 44, 291, 323, 1381, 280, 4533, 710, 43899, 69, 4902, 13567, 785, 284, 2940, 25085, 44, 291, 323, 1381, 280, 23040, 1796, 291, 4533, 710, 43899, 69, 4902, 13567, 785, 280, 323, 1381, 284, 4533, 710, 29612, 785, 351, 280, 330, 3969, 25, 284, 4533, 710, 29612, 6880, 785, 261, 280, 358, 8407, 32, 1733, 32, 1583, 1881, 25416, 284, 4533, 710, 29612, 8670, 785, 262, 280, 8529, 1711, 284, 4533, 710, 29612, 38390, 1016, 785, 280, 225, 8529, 22078, 284, 4533, 710, 29612, 28056, 785, 225, 280, 5608, 3969, 25, 203, 589, 5375, 26, 2121, 711, 284, 442, 3568, 81, 3969, 556, 4533, 32, 22346, 463, 3969, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 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, 0, 1, 1, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 1, 1, 3, 5, 2, 2, 5, 5, 4, 4, 5, 1, 2, 2, 2, 2, 2, 6, 6, 5, 5, 6, 0, 1, 1, 2, 2, 1, 1, 1, 5, 4, 4, 6, 5, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 8, 4, 4, 7, 6, 6, 9, 8, 9, 9, 8, 10, 10, 12, 11, 12, 11, 8, 10, 10, 8, 8, 4, 4, 5, 5, 5, 5, 5, 5, 7, 9, 10, 9, 7, 7, 9, 11, 10, 10, 11, 10, 10, 9, 9, 11, 12, 11, 13, 13, 14, 13, 9, 9, 11, 11, 11, 11, 11, 11, 14, 14, 17, 18, 16, 17, 16, 17, 17, 16, 16, 16, 12, 12, 13, 16, 17, 15, 16, 15, 16, 15, 13, 13, 18, 17, 18, 17, 18, 17, 7, 7, 8, 8, 8, 13, 12, 13, 12, 14, 14, 15, 14, 4, 4, 8, 7, 8, 7, 1, 2, 2, 2, 2, 6, 5, 5, 6, 3, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 3, 2, 2, 6, 5, 6, 4, 5, 4, 5, 4, 4, 6, 5, 8, 8, 8, 8, 0, 3, 3, 2, 2, 6, 5, 6, 4, 5, 4, 6, 5, 5, 9, 8, 9, 7, 8, 7, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 6, 6, 5, 5, 9, 8, 9, 7, 8, 6, 7, 4, 4, 4, 6, 6, 5, 5, 8, 7, 8, 6, 7, 7, 4, 4, 4, 5, 5, 7, 7, 7, 4, 4, 5, 5, 6, 4, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 3, 7, 6, 6, 8, 10, 10, 10, 9, 9, 3, 3, 4, 4, 4, 4, 8, 7, 7, 8, 5, 5, 9, 11, 11, 11, 10, 10, 7, 7, 8, 2, 2, 5, 7, 7, 4, 4, 4, 6, 6, 2, 2, 5, 7, 7, 7, 4, 4, 4, 8, 7, 8, 6, 7, 7, 6, 2, 2, 5, 7, 7, 7, 4, 4, 4, 5, 2, 2, 5, 7, 7, 7, 7, 4, 4, 4, 5, 2, 2, 5, 7, 7, 7, 4, 4, 4, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 4, 4, 6, 7, 6, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 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, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 1, 2, 0, 4, 4, 0, 1, 2, 1, 4, 0, 5, 5, 0, 1, 2, 0, 6, 6, 6, 6, 0, 0, 2, 2, 0, 0, 0, 0, 2, 6, 3, 3, 3, 3, 3, 0, 0, 0, 0, 2, 0, 7, 7, 1, 1, 7, 7, 7, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 2, 1, 7, 4, 4, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 3, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 3, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 5, 5, 0, 0, 2, 2, 2, 2, 1, 1, 1, 7, 7, 1, 1, 2, 1, 1, 9, 9, 2, 1, 0, 10, 10, 2, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 2, 4, 4, 0, 1, 2, 0, 0, 0, 1, 2, 4, 4, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 1, 1, 2, 0, 0, 0, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 4, 4, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 11, 11, 2, 1, 2, 11, 11, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 2417, 16782, 1188, 23456, 15880, 81, 3963, 81, 1070, 81, 21463, 203, 1070, 2417, 8395, 32, 1427, 1188, 11233, 203, 465, 13092, 203, 589, 894, 81, 16782, 81, 30437, 15880, 81, 71, 26, 272, 81, 16413, 711, 284, 556, 46677, 81, 363, 81, 8732, 280, 41449, 59, 370, 2933, 471, 2726, 88, 274, 105, 370, 2933, 471, 2726, 452, 370, 2933, 471, 715, 2726, 62, 24962, 370, 3177, 471, 308, 2473, 370, 2933, 2177, 284, 3693, 280, 11233, 26, 272, 81, 16413, 30, 556, 46677, 81, 363, 81, 8732, 47, 6707, 101, 81, 363, 81, 8732, 27, 284, 11740, 280, 10440, 1657, 440, 59, 296, 274, 105, 372, 33146, 2069, 440, 59, 296, 274, 105, 372, 43908, 2113, 330, 5913, 12357, 284, 5911, 280, 23456, 15880, 81, 3963, 81, 1070, 81, 21463, 26, 1427, 30, 11740, 27, 284, 1201, 5911, 610, 2107, 65, 370, 330, 65, 370, 330, 65, 370, 330, 71, 31, 5913, 370, 330, 65, 785, 203, 589, 894, 81, 16782, 81, 30437, 15880, 81, 5153, 26, 272, 81, 16413, 711, 284, 556, 46677, 81, 363, 81, 8732, 280, 41449, 59, 370, 2933, 471, 2726, 88, 274, 105, 370, 2933, 471, 2726, 452, 370, 2933, 471, 2726, 24969, 370, 2933, 471, 715, 2726, 6082, 1964, 16690, 370, 3177, 471, 308, 2473, 370, 2933, 2177, 284, 3693, 280, 11233, 26, 272, 81, 16413, 30, 556, 46677, 81, 363, 81, 8732, 47, 6707, 101, 81, 363, 81, 8732, 27, 284, 11740, 280, 10440, 1657, 440, 59, 296, 274, 105, 372, 33146, 2069, 440, 59, 296, 274, 105, 372, 21100, 48633, 2113, 330, 5913, 12357, 284, 5911, 280, 23456, 15880, 81, 3963, 81, 1070, 81, 21463, 26, 1427, 30, 11740, 27, 284, 1201, 5911, 610, 2107, 65, 370, 330, 65, 370, 330, 65, 370, 330, 52, 31, 5913, 370, 330, 62, 31, 5913, 370, 330, 65, 785, 203, 589, 894, 81, 16782, 81, 30437, 15880, 81, 52, 1466, 26, 272, 81, 16413, 711, 284, 556, 46677, 81, 363, 81, 8732, 280, 41449, 59, 370, 2933, 471, 2726, 88, 274, 105, 370, 2933, 471, 2726, 452, 370, 2933, 471, 2726, 24969, 370, 2933, 471, 715, 2726, 6082, 1964, 16690, 370, 2933, 471, 2726, 1402, 8332, 370, 3177, 471, 308, 2473, 370, 2933, 2177, 284, 3693, 280, 11233, 26, 272, 81, 16413, 30, 556, 46677, 81, 363, 81, 8732, 47, 6707, 101, 81, 363, 81, 8732, 27, 284, 11740, 280, 10440, 1657, 440, 59, 296, 274, 105, 372, 33146, 2069, 440, 59, 296, 274, 105, 372, 21100, 48633, 676, 47334, 2113, 330, 5913, 12357, 284, 5911, 280, 23456, 15880, 81, 3963, 81, 1070, 81, 21463, 26, 1427, 30, 11740, 27, 284, 1201, 5911, 610, 2107, 65, 370, 330, 65, 370, 330, 65, 370, 330, 52, 31, 5913, 370, 330, 59, 31, 5913, 370, 330, 62, 31, 5913, 370, 330, 65, 785, 203, 589, 894, 81, 16782, 81, 30437, 15880, 81, 1431, 2934, 26, 272, 81, 16413, 711, 284, 556, 46677, 81, 363, 81, 8732, 280, 41449, 59, 370, 2933, 471, 2726, 88, 274, 105, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 8, 8, 6, 6, 5, 8, 8, 8, 8, 6, 6, 5, 8, 8, 6, 6, 5, 5, 8, 8, 8, 6, 6, 5, 8, 8, 6, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 6, 2, 2, 4, 4, 8, 8, 10, 10, 10, 10, 10, 10, 6, 8, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 8, 8, 6, 6, 5, 8, 8, 8, 8, 6, 6, 5, 8, 8, 6, 6, 5, 8, 8, 6, 6, 5, 5, 8, 8, 8, 8, 6, 6, 5, 8, 8, 6, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 6, 2, 2, 4, 4, 8, 8, 10, 10, 10, 10, 10, 10, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 8, 8, 6, 6, 5, 8, 8, 8, 8, 6, 6, 5, 8, 8, 6, 6, 5, 8, 8, 6, 6, 5, 5, 8, 8, 8, 8, 6, 6, 5, 8, 8, 8, 6, 6, 5, 8, 8, 6, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 6, 2, 2, 4, 4, 8, 8, 10, 10, 10, 10, 10, 10, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 8, 8, 6, 6, 5, 8, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 3, 2, 1, 2, 5, 5, 2, 2, 1, 1, 2, 7, 7, 2, 0, 2, 9, 9, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 3, 2, 1, 2, 5, 5, 2, 1, 2, 7, 7, 2, 2, 1, 1, 1, 2, 9, 9, 2, 0, 2, 11, 11, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 3, 2, 1, 2, 5, 5, 2, 1, 2, 7, 7, 2, 2, 1, 1, 1, 2, 9, 9, 2, 1, 1, 2, 11, 11, 2, 0, 2, 13, 13, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2 ]
[ 465, 22977, 203, 465, 489, 19536, 97, 203, 465, 43008, 203, 465, 1133, 203, 823, 4803, 88, 1373, 44, 284, 665, 1156, 1664, 3207, 784, 30, 4193, 4310, 34, 30, 225, 34, 8531, 291, 630, 32, 1004, 20620, 280, 12754, 20620, 346, 291, 630, 32, 3825, 5669, 280, 22977, 32, 371, 81, 16914, 81, 891, 922, 4446, 429, 225, 36, 291, 630, 32, 2638, 5669, 280, 22977, 32, 371, 81, 16914, 81, 891, 922, 6057, 429, 225, 36, 291, 630, 32, 85, 15802, 280, 630, 32, 85, 26168, 346, 16189, 630, 32, 95, 16213, 280, 489, 19536, 97, 32, 63, 16213, 26, 17857, 47, 784, 32, 1004, 20620, 32, 944, 26, 784, 32, 85, 15802, 77, 34, 5259, 291, 630, 32, 1216, 1928, 280, 3177, 291, 630, 32, 6782, 659, 280, 225, 34, 291, 630, 32, 5690, 28293, 280, 225, 34, 291, 630, 32, 2390, 280, 4193, 291, 630, 32, 34692, 280, 630, 32, 371, 81, 34692, 346, 10065, 665, 43708, 26, 784, 711, 291, 1459, 440, 16815, 2121, 272, 7005, 743, 971, 44777, 409, 2317, 676, 8785, 657, 291, 1459, 440, 20645, 83, 4707, 409, 21566, 1336, 3073, 657, 291, 5127, 26919, 280, 3330, 291, 2218, 5127, 26919, 646, 328, 2884, 35, 392, 313, 36, 10280, 324, 5127, 26919, 280, 1509, 5528, 96, 78, 96, 55, 374, 4595, 709, 30476, 3491, 96, 35, 31, 4843, 30539, 5677, 78, 96, 36, 31, 48464, 281, 1576, 9028, 7269, 78, 96, 77, 35, 33, 36, 27633, 657, 291, 415, 5127, 26919, 610, 313, 35, 563, 324, 630, 32, 1216, 1928, 280, 2933, 324, 39091, 280, 1665, 324, 2218, 39091, 438, 1665, 44, 400, 5127, 26919, 35, 280, 1509, 440, 55, 374, 4595, 709, 39091, 17817, 281, 295, 9403, 78, 96, 4289, 657, 400, 1596, 44, 528, 39091, 280, 1897, 26, 5243, 26919, 35, 27, 528, 630, 32, 5690, 28293, 280, 39091, 400, 2940, 10091, 44, 528, 3097, 324, 630, 32, 1216, 1928, 280, 2933, 291, 630, 32, 3248, 346, 291, 630, 32, 2435, 346, 284, 665, 281, 26168, 26, 784, 711, 225, 588, 351, 2454, 280, 1509, 440, 55, 374, 4595, 2317, 540, 17773, 3555, 27484, 312, 281, 26168, 78, 96, 4289, 657, 291, 4131, 280, 1509, 440, 55, 374, 4595, 2317, 540, 17773, 3555, 27484, 2800, 286, 3920, 3718, 6957, 41619, 78, 96, 4289, 657, 291, 442, 2454, 30, 4131, 284, 665, 2723, 26, 784, 711, 291, 31396, 659, 280, 1665, 291, 2218, 31396, 659, 438, 1665, 44, 324, 5127, 26919, 36, 280, 1509, 440, 55, 374, 4595, 709, 31396, 659, 409, 281, 295, 9403, 26, 96, 7571, 2302, 500, 7528, 37619, 280, 281, 295, 9403, 9233, 1664, 500, 4731, 7686, 11608, 2023, 312, 1398, 83, 5973, 449, 4922, 5421, 96, 4289, 657, 324, 1596, 44, 400, 31396, 659, 280, 629, 26, 5243, 26919, 36, 27, 324, 2940, 10091, 44, 400, 3097, 291, 630, 32, 6782, 659, 280, 31396, 659, 284, 665, 3498, 26, 784, 711, 291, 6929, 280, 43008, 32, 4198, 26, 6844, 9452, 32, 6281, 81, 998, 1157, 291, 39091, 81, 266, 9308, 280, 1133, 32, 1003, 346, 291, 41619, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 6, 6, 7, 6, 3, 3, 7, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 6, 6, 10, 11, 11, 11, 11, 11, 10, 9, 7, 7, 8, 4, 4, 7, 8, 8, 6, 6, 10, 11, 11, 11, 11, 11, 10, 9, 7, 7, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 8, 6, 6, 9, 9, 8, 9, 9, 8, 10, 9, 13, 12, 13, 13, 11, 12, 11, 14, 13, 14, 14, 12, 13, 12, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 6, 6, 4, 4, 5, 7, 6, 6, 6, 9, 9, 7, 9, 9, 5, 5, 9, 8, 8, 10, 13, 13, 13, 12, 12, 12, 12, 12, 12, 13, 12, 12, 12, 12, 12, 12, 13, 13, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 12, 12, 12, 12, 12, 4, 5, 7, 7, 6, 6, 8, 8, 5, 10, 10, 10, 10, 8, 9, 6, 9, 8, 9, 6, 7, 9, 8, 9, 9, 7, 11, 11, 11, 10, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 14, 14, 8, 9, 9, 9, 13, 12, 14, 14, 15, 15, 15, 15, 10, 14, 14, 14, 14, 12, 13, 9, 10, 11, 11, 10, 12, 6, 10, 10, 10, 10, 8, 9, 4, 8, 8, 8, 7, 4, 8, 8, 8, 7, 2, 3, 3, 4, 4, 5, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 4, 5, 7, 7, 7, 2, 3, 4, 4, 5, 4, 3, 7, 7, 6, 7, 4, 5, 7, 7, 6, 7, 7, 5, 9, 9, 9, 8, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 7, 7, 7, 11, 11, 11, 12, 12, 13, 13, 13, 13, 7, 8, 9, 9, 8, 10, 4, 8, 8, 8, 8, 8, 7, 7, 2, 3, 4, 4, 5, 5, 3, 7, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 10, 4, 7, 7, 7, 7, 7, 9, 9, 9, 9, 4, 7 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 4, 4, 4, 0, 1, 1, 1, 2, 2, 3, 1, 2, 2, 3, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 3, 3, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 3, 0, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 0, 2, 4, 0, 0, 2, 2, 0, 2, 3, 0, 0, 2, 3, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 3, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 3, 1, 1, 3, 0, 3, 0, 0, 2, 2, 0, 2, 4, 0, 0, 2, 1, 4, 0, 0, 2, 1, 3, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 5, 1, 0, 0, 2, 3, 3, 1, 1, 1, 2, 3, 0, 0, 0, 2, 4, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 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, 3, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 3, 0, 4, 0, 0, 2, 2, 2, 2, 2, 3, 4, 1, 1, 1, 1, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 0 ]
[ 1070, 12170, 304, 905, 81, 858, 1188, 319, 203, 823, 2108, 52, 4911, 21485, 17841, 26, 7233, 711, 284, 665, 894, 2766, 26, 784, 711, 291, 323, 4911, 35, 30, 7533, 35, 30, 29958, 35, 30, 323, 4911, 36, 30, 7533, 36, 30, 29958, 36, 280, 551, 4911, 21485, 17841, 346, 24562, 291, 630, 32, 5299, 26, 23082, 35, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 3292, 35, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 31195, 35, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 23082, 36, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 3292, 36, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 31195, 36, 30, 225, 34, 27, 284, 665, 894, 8039, 26, 784, 711, 291, 323, 4911, 35, 30, 7533, 35, 30, 29958, 35, 30, 323, 4911, 36, 30, 7533, 36, 30, 29958, 36, 280, 551, 4911, 21485, 17841, 346, 2009, 34, 1130, 291, 630, 32, 5299, 26, 23082, 35, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 3292, 35, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 31195, 35, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 23082, 36, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 3292, 36, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 31195, 36, 30, 225, 34, 27, 284, 665, 894, 3582, 26, 784, 711, 291, 323, 4911, 35, 30, 7533, 35, 30, 29958, 35, 30, 323, 4911, 36, 30, 7533, 36, 30, 29958, 36, 280, 551, 4911, 21485, 17841, 346, 2009, 34, 32, 39, 1130, 291, 630, 32, 5299, 26, 23082, 35, 30, 225, 35, 36, 34, 27, 291, 630, 32, 5299, 26, 3292, 35, 30, 225, 35, 27, 291, 630, 32, 5299, 26, 31195, 35, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 23082, 36, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 3292, 36, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 31195, 36, 30, 225, 34, 27, 284, 665, 894, 2774, 4382, 3354, 26, 784, 711, 291, 19948, 874, 280, 9650, 35, 34, 34, 30, 225, 37, 34, 34, 79, 291, 26374, 280, 1605, 291, 436, 323, 4911, 328, 19948, 874, 44, 324, 26374, 32, 1689, 26, 40, 34, 32, 517, 323, 4911, 27, 291, 323, 4911, 35, 30, 7533, 35, 30, 29958, 35, 30, 323, 4911, 36, 30, 7533, 36, 30, 29958, 36, 280, 551, 4911, 21485, 17841, 18627, 35158, 27, 291, 630, 32, 5299, 26, 23082, 35, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 3292, 35, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 31195, 35, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 23082, 36, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 3292, 36, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 31195, 36, 30, 225, 34, 27, 284, 665, 894, 10238, 299, 26, 784, 711, 291, 323, 4911, 35, 30, 7533, 35, 30, 29958, 35, 30, 323, 4911, 36, 30, 7533, 36, 30, 29958, 36, 280, 551, 4911, 21485, 17841, 346, 2009, 40, 34, 32, 517, 225, 35, 34, 34, 32, 39 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 7, 7, 8, 6, 6, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 7, 7, 8, 6, 6, 9, 9, 9, 9, 8, 10, 9, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 7, 7, 8, 6, 6, 9, 9, 9, 9, 8, 10, 10, 10, 9, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 6, 6, 4, 4, 5, 6, 5, 5, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 10, 10, 11, 9, 4, 4, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 7, 7, 8, 6, 6, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 7, 7, 8, 6, 6, 9, 9, 9, 9, 8, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 6, 6, 0, 0, 8, 0, 0, 10, 0, 0, 0, 0, 0, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 6, 6, 0, 0, 8, 0, 0, 10, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 6, 6, 0, 0, 8, 0, 0, 10, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 4, 4, 0, 0, 4, 4, 2, 1, 2, 2, 3, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 6, 6, 0, 0, 8, 0, 0, 10, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 6, 6, 0, 0, 8, 0, 0, 10, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2 ]
[ 465, 316, 203, 1070, 1133, 1188, 1133, 203, 465, 7138, 203, 1070, 12872, 1188, 7181, 101, 203, 1070, 16969, 1188, 38401, 203, 1070, 12266, 1188, 16281, 203, 1070, 3996, 1188, 6466, 203, 823, 4581, 26, 1473, 711, 284, 313, 2359, 372, 22717, 474, 1542, 7763, 20, 284, 665, 1156, 1664, 3207, 784, 30, 3082, 81, 3781, 30, 3082, 81, 426, 711, 291, 645, 298, 2209, 6634, 1188, 14910, 1486, 291, 1459, 313, 33623, 22717, 3387, 20, 291, 630, 32, 3781, 280, 14910, 1486, 26, 2035, 47, 1199, 81, 3781, 27, 291, 630, 32, 1199, 280, 630, 32, 3781, 77, 1199, 81, 426, 79, 291, 630, 32, 35117, 280, 38401, 26, 784, 27, 291, 630, 32, 9433, 280, 7181, 101, 26, 784, 27, 291, 630, 32, 8512, 280, 16281, 26, 784, 27, 291, 645, 341, 325, 427, 3724, 265, 1188, 2662, 291, 3338, 280, 330, 1996, 25, 291, 630, 32, 751, 280, 2662, 26, 784, 30, 793, 81, 9362, 47, 1815, 30, 3338, 47, 2111, 27, 291, 630, 1114, 751, 280, 630, 710, 751, 785, 291, 630, 1114, 751, 32, 12830, 81, 1055, 463, 2724, 81, 16700, 370, 27245, 5125, 9023, 47, 40, 34, 28, 40, 34, 27, 284, 665, 622, 81, 2255, 26, 784, 30, 6424, 711, 291, 313, 1922, 3996, 1300, 20, 291, 442, 6466, 26, 784, 30, 6424, 27, 284, 665, 1156, 33644, 3207, 784, 30, 4491, 711, 291, 313, 1922, 33, 371, 312, 4491, 20, 291, 442, 630, 32, 1199, 77, 4170, 79, 284, 665, 1245, 81, 669, 26, 784, 30, 309, 711, 291, 2830, 280, 301, 324, 330, 2076, 950, 309, 30, 324, 330, 2724, 81, 16700, 950, 7138, 32, 6665, 32, 44026, 1026, 291, 320, 291, 630, 1114, 751, 32, 3215, 26, 2067, 27, 284, 665, 1245, 81, 371, 26, 784, 30, 2385, 47, 35, 34, 711, 291, 8821, 280, 1149, 26, 784, 1114, 751, 32, 1809, 922, 3323, 463, 2724, 81, 16700, 370, 429, 35, 27, 2867, 998, 1130, 291, 442, 428, 106, 710, 2076, 785, 436, 816, 328, 29390, 26, 8288, 2177, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 7, 5, 5, 7, 4, 4, 5, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 5, 7, 7, 7, 7, 5, 5, 4, 4, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 8, 10, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 8, 10, 10, 9, 10, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 4, 4, 5, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 6, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 8, 11, 12, 10, 11, 10, 7, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 6, 4, 3, 3, 6, 6, 8, 15, 14, 15, 13, 14, 13, 12, 11, 13, 13, 13, 13, 11, 13, 11, 9, 11, 9, 4, 4, 5, 8, 7, 9, 9, 6, 7, 7, 7, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 2, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 7, 0, 0, 0, 0, 7, 7, 4, 4, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 0, 2, 1, 2, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 5, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1188, 319, 203, 465, 5237, 203, 465, 622, 2215, 203, 20, 5229, 20, 203, 13977, 261, 280, 225, 36, 41, 37, 32, 35, 39, 12992, 203, 72, 18093, 261, 280, 225, 39, 19075, 203, 72, 2201, 264, 280, 225, 39, 19075, 203, 3195, 69, 261, 280, 13106, 26, 36, 30, 35, 34, 27, 10441, 203, 72, 20801, 225, 280, 676, 18093, 517, 399, 4602, 8240, 203, 70, 4683, 261, 280, 225, 34, 19075, 203, 70, 3459, 261, 280, 225, 37, 39, 34, 1210, 203, 823, 947, 2806, 10971, 44, 284, 313, 1339, 372, 745, 322, 361, 2806, 10971, 7744, 101, 20, 284, 665, 1156, 1664, 3207, 784, 30, 26465, 30, 273, 35, 30, 540, 35, 30, 273, 36, 30, 540, 36, 30, 273, 37, 30, 540, 37, 711, 291, 456, 35, 280, 1245, 26, 100, 35, 27, 291, 456, 36, 280, 1245, 26, 100, 36, 27, 291, 456, 37, 280, 1245, 26, 100, 37, 27, 291, 533, 35, 280, 225, 35, 32, 34, 517, 308, 102, 35, 474, 20024, 27, 3389, 291, 533, 36, 280, 225, 35, 32, 34, 517, 308, 102, 36, 474, 20024, 27, 291, 533, 37, 280, 225, 35, 32, 34, 517, 308, 102, 37, 474, 20024, 27, 291, 816, 280, 308, 107, 36, 429, 533, 35, 27, 517, 308, 94, 36, 429, 456, 35, 27, 291, 533, 280, 308, 107, 37, 429, 533, 35, 27, 517, 308, 94, 37, 429, 456, 35, 27, 291, 281, 280, 308, 107, 429, 816, 27, 517, 1833, 94, 37, 429, 456, 36, 27, 319, 308, 94, 35, 474, 456, 36, 474, 456, 37, 490, 291, 323, 280, 816, 429, 281, 319, 308, 94, 35, 326, 36, 474, 456, 36, 326, 36, 474, 456, 35, 28, 94, 36, 27, 291, 312, 280, 533, 35, 429, 308, 84, 474, 456, 35, 326, 36, 319, 85, 4586, 94, 35, 291, 415, 281, 333, 225, 34, 44, 324, 1459, 313, 28452, 28917, 20, 324, 1459, 27676, 18236, 44, 11003, 17134, 330, 85, 38065, 30967, 1631, 526, 6643, 623, 322, 26921, 19, 434, 20, 324, 1459, 313, 28452, 28917, 20, 324, 281, 280, 429, 85, 291, 630, 32, 85, 35, 280, 312, 10086, 291, 630, 32, 85, 36, 280, 323, 291, 630, 32, 85, 37, 280, 281, 291, 630, 32, 8629, 280, 26465, 8240, 284, 665, 18776, 26, 784, 30, 34011, 711, 291, 313, 6720, 17878, 9175, 1991, 312, 12066, 20, 291, 736, 280, 630, 32, 1433, 26, 17586, 7824, 784, 32, 1433, 26, 17586, 29, 35, 27, 291, 442, 736, 284, 665, 30591, 26, 784, 30, 34011, 711, 291, 313, 6720, 17878, 9175, 1991, 312, 12368, 13812, 20, 291, 442, 34011, 319, 676, 20801, 7188, 284, 665, 736, 427, 26, 784, 30, 34011, 711, 291, 313, 6720, 17878, 9175, 1991, 312, 47762, 328, 23847, 874, 20, 291, 540, 280, 630, 32, 8629, 319, 630, 32, 34383, 26, 17586, 27, 517, 308, 72, 2201, 429, 630, 32, 34383, 26, 17586, 490, 4456, 442, 540, 284, 665, 1779, 26, 784, 30, 34011, 711, 291, 313, 6720, 17878, 9175, 1991, 312, 13587, 328, 390, 342, 1871, 352 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 3, 3, 3, 0, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 2, 2, 2, 4, 5, 4, 5, 5, 4, 0, 0, 3, 3, 2, 2, 2, 4, 3, 3, 4, 0, 0, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 2, 2, 2, 3, 3, 3, 0, 0, 1, 1, 2, 2, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 8, 7, 7, 10, 10, 9, 9, 8, 4, 4, 4, 7, 6, 6, 8, 8, 8, 7, 7, 10, 10, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 8, 7, 7, 10, 10, 9, 9, 8, 4, 4, 6, 6, 10, 10, 9, 9, 10, 8, 7, 7, 10, 10, 9, 9, 10, 8, 4, 4, 6, 6, 10, 10, 9, 9, 10, 8, 7, 7, 10, 10, 9, 9, 10, 8, 4, 4, 6, 6, 10, 9, 9, 8, 7, 7, 12, 12, 11, 11, 12, 10, 9, 9, 13, 13, 12, 12, 13, 11, 11, 12, 10, 4, 4, 6, 6, 7, 7, 8, 8, 13, 13, 12, 13, 11, 11, 13, 12, 13, 10, 10, 12, 11, 12, 12, 9, 4, 4, 6, 6, 8, 7, 7, 11, 10, 10, 13, 12, 13, 11, 12, 9, 9, 9, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 6, 6, 8, 8, 10, 4, 4, 7, 8, 8, 6, 6, 4, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 9, 10, 9, 10, 9, 10, 9, 10, 9, 11, 10, 11, 9, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 6, 7, 2, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 9, 10, 8, 8, 10, 11, 10, 11, 10, 7, 7, 10, 10, 9, 9, 11, 12, 11, 12, 11, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 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, 1, 1, 1, 3, 3, 1, 0, 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, 2, 2, 0, 0, 11, 11, 1, 1, 11, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 11, 2, 2, 13, 2, 2, 15, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 4, 4, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 4, 4, 11, 1, 1, 2, 11, 11, 11, 0, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 3, 3, 3, 4, 1, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 4, 4, 2, 3, 3, 5, 2, 1, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 45977, 203, 823, 47800, 26, 687, 1729, 32, 13172, 711, 284, 665, 9336, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 4275, 30, 8644, 81, 1274, 27, 284, 665, 9843, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 4275, 30, 286, 3205, 81, 1274, 27, 203, 823, 29494, 279, 8770, 26, 687, 1729, 32, 44571, 8770, 711, 284, 665, 9336, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 784, 32, 4275, 30, 8644, 81, 1274, 5594, 34, 79, 203, 823, 29494, 279, 11717, 26, 687, 1729, 32, 44571, 11717, 711, 284, 665, 9843, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 784, 32, 4275, 30, 286, 3205, 81, 1274, 5594, 34, 79, 203, 823, 7537, 3976, 26, 13172, 30, 687, 1729, 32, 1862, 3976, 711, 284, 3097, 203, 823, 7537, 3300, 26, 13172, 30, 687, 1729, 32, 33667, 711, 284, 3097, 203, 589, 622, 1582, 3038, 2262, 284, 442, 45977, 32, 13172, 1120, 26, 291, 636, 1057, 2219, 35, 36, 39, 38, 370, 291, 9336, 47, 13172, 922, 4434, 30, 291, 9843, 47, 13172, 922, 5460, 30, 291, 33530, 13023, 47, 44571, 8770, 30, 291, 33530, 14858, 47, 44571, 11717, 30, 291, 3443, 6308, 47, 33667, 30, 291, 3443, 7572, 47, 1862, 3976, 30, 284, 829, 203, 286, 3205, 81, 1274, 280, 308, 284, 3228, 106, 34, 34, 25, 647, 284, 3228, 106, 34, 35, 25, 647, 284, 3228, 106, 34, 36, 25, 647, 284, 3228, 106, 34, 37, 25, 647, 284, 3228, 106, 34, 38, 25, 647, 284, 3228, 106, 34, 39, 25, 647, 284, 3228, 106, 34, 40, 25, 647, 284, 3228, 106, 34, 41, 25, 647, 284, 3228, 106, 34, 42, 25, 647, 284, 3228, 102, 25, 351, 284, 3228, 96, 25, 351, 284, 3228, 106, 34, 84, 25, 647, 284, 3228, 106, 34, 85, 25, 647, 284, 3228, 100, 25, 351, 284, 3228, 106, 34, 87, 25, 647, 284, 3228, 106, 34, 88, 25, 647, 284, 3228, 106, 35, 34, 25, 647, 284, 3228, 106, 35, 35, 25, 647, 284, 3228, 106, 35, 36, 25, 647, 284, 3228, 106, 35, 37, 25, 647, 284, 3228, 106, 35, 38, 25, 647, 284, 3228, 106, 35, 39, 25, 647, 284, 3228, 106, 35, 40, 25, 647, 284, 3228, 106, 35, 41, 25, 647, 284, 3228, 106, 35, 42, 25, 647, 284, 3228, 106, 35, 43, 25, 647, 284, 3228, 106, 35, 83, 25, 647, 284, 3228, 106, 35, 84, 25, 647, 284, 3228, 106, 35, 85, 25, 647, 284, 3228, 106, 35, 86, 25, 647, 284, 3228, 106, 35, 87, 25, 647, 284, 3228, 106, 35, 88, 25, 647, 284, 330, 330, 40196, 330, 20149, 40196, 37316, 40196, 40530, 40196, 8493, 25, 40196, 47268, 40196, 15441, 25, 40196, 37638, 40196, 32096, 40196, 39691, 40196, 32448, 40196, 43563, 40196, 17359, 40196, 20514 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 4, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 6, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 9, 9, 8, 5, 5, 5, 6, 9, 9, 8, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 6, 4, 4, 4, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 6, 4, 4, 6, 4, 4, 4, 4, 4, 4, 6, 4, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 3, 2, 0, 5, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 1, 4, 4, 1, 2, 1, 2, 3, 2, 0, 5, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 5, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 1, 2, 1, 0, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 5, 1, 2, 1, 0, 4, 4, 1, 2, 1, 2, 0, 0, 3, 2, 2, 2, 4, 4, 0, 5, 5, 1, 2, 1, 2, 0, 0, 3, 2, 2, 5, 5, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 2, 1, 1, 1, 5, 0, 1, 2, 1, 1, 1, 0, 7, 2, 2, 1, 1, 1, 0, 9, 2, 2, 1, 1, 1, 0, 11, 2, 1, 1, 1, 0, 13, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 109, 284, 330, 426, 950, 330, 1765, 304, 5225, 43483, 16079, 9035, 370, 284, 330, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 2310, 950, 1524, 203, 1765, 304, 266, 2531, 46743, 7565, 461, 13121, 34857, 32, 203, 13643, 379, 203, 7926, 712, 444, 1638, 304, 6100, 484, 1360, 5524, 500, 409, 1430, 8689, 1409, 312, 1214, 966, 295, 8502, 354, 365, 18648, 284, 3330, 392, 284, 330, 2116, 950, 2107, 45806, 516, 5735, 2188, 284, 330, 12787, 950, 330, 525, 555, 47206, 527, 66, 32, 508, 370, 284, 330, 3153, 950, 330, 29844, 33, 3341, 16079, 101, 370, 284, 330, 27263, 950, 2107, 3524, 81, 5836, 2188, 284, 330, 605, 950, 77, 291, 330, 3524, 81, 9078, 81, 687, 32, 2593, 370, 291, 330, 94, 35, 34, 96, 81, 282, 81, 5836, 32, 2593, 370, 291, 330, 3524, 81, 9078, 32, 2593, 370, 291, 330, 94, 35, 34, 96, 81, 282, 81, 21880, 32, 2593, 370, 284, 2505, 284, 330, 6380, 950, 5518, 284, 330, 2480, 950, 3177, 30, 284, 330, 3789, 444, 950, 2933, 30, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 2, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 6, 6, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 2, 2, 5, 5, 3, 2, 2, 2, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 7, 1, 1, 1, 2, 0, 0, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 13, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 17, 0, 0, 1, 2, 19, 0, 0, 0, 1, 1, 2, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 301, 284, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 284, 330, 1517, 950, 2107, 10938, 3337, 2188, 284, 330, 7095, 81, 1170, 950, 330, 1262, 25, 203, 111, 203, 24021, 2893, 280, 540, 9592, 203, 1559, 203, 2116, 44, 35603, 7349, 12641, 11931, 19441, 27, 203, 1647, 44, 1188, 81, 8246, 203, 4021, 81, 2310, 44, 9200, 312, 2899, 1149, 203, 2310, 44, 334, 429, 44435, 312, 1149, 432, 8253, 372, 526, 3640, 372, 322, 1550, 4654, 2609, 436, 16490, 6063, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 38, 20, 203, 2184, 44, 334, 3741, 31, 599, 44, 284, 3048, 44, 397, 429, 886, 636, 432, 322, 18253, 803, 438, 3191, 7029, 2876, 1346, 1604, 2470, 32, 397, 429, 19525, 16400, 30, 6237, 23737, 461, 3700, 3528, 30, 1755, 9547, 372, 322, 18253, 8253, 30, 646, 372, 458, 7603, 8015, 32, 397, 429, 1670, 844, 1849, 1346, 432, 5521, 372, 4871, 30, 793, 488, 26, 1017, 81, 8246, 27, 4174, 32, 203, 8886, 44, 334, 429, 1348, 438, 312, 5296, 2787, 432, 35603, 30, 9283, 2784, 312, 2297, 30, 461, 4881, 526, 26625, 2124, 312, 2297, 32, 203, 37100, 44, 203, 31, 2297, 44, 1188, 81, 48646, 203, 31, 2297, 44, 1188, 81, 4298, 203, 31, 2297, 44, 2305, 81, 4298, 203, 31, 2297, 44, 2305, 81, 8246, 203, 31, 2488, 44, 4654, 12254, 81, 31897, 81, 6411, 334, 3048, 44, 12630, 2471, 5886, 372, 6237, 461, 29282, 4654, 12254, 30, 13479, 461, 8253, 32, 203, 9592, 203, 1460, 39189, 280, 540, 9592, 203, 31, 17758, 44, 1169, 334, 8253, 44, 284, 429, 4588, 44, 291, 3124, 44, 2899, 35, 284, 429, 636, 44, 12432, 2899, 1149, 328, 4654, 397, 1188, 81, 8246, 44, 10591, 32, 6045, 284, 429, 4588, 44, 291, 3124, 44, 2899, 35, 34, 203, 31, 17758, 44, 1169, 334, 8253, 44, 284, 429, 4588, 44, 291, 3124, 44, 2899, 35, 284, 429, 636, 44, 14848, 21161, 372, 1169, 18253, 8253, 397, 1188, 81, 8246, 44, 10591, 32, 6045, 397, 1412, 44, 3408, 869, 438, 3417, 203, 9592, 203, 10934, 280, 540, 9592, 203, 21, 1348, 2297, 1957, 646, 442, 7991, 2940, 8253, 372, 5742, 32, 203, 9592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1933, 203, 465, 5741, 203, 465, 2322, 32, 983, 203, 465, 16539, 203, 465, 11685, 203, 1070, 13625, 1188, 31466, 30, 636, 41766, 203, 1070, 31074, 1188, 28239, 203, 1070, 4134, 1188, 1623, 18241, 203, 465, 3984, 106, 619, 13736, 203, 465, 3984, 106, 32, 15096, 32, 297, 418, 43275, 619, 26457, 203, 465, 6436, 619, 2065, 203, 1070, 31343, 107, 32, 1260, 1188, 488, 1960, 444, 203, 1070, 31343, 107, 32, 500, 32, 983, 1188, 1510, 203, 1070, 3984, 106, 32, 28762, 32, 8462, 81, 7593, 1188, 2866, 81, 4260, 203, 1070, 3984, 106, 32, 850, 1821, 1188, 2361, 81, 2255, 203, 1070, 18414, 32, 20847, 1188, 1224, 54, 3350, 203, 1070, 18414, 32, 5136, 1188, 5510, 203, 1070, 3619, 1287, 2518, 32, 1262, 1188, 498, 23353, 30, 488, 44374, 30, 24156, 295, 7294, 30, 19247, 203, 1070, 3619, 1287, 2518, 32, 1262, 32, 5999, 1188, 43669, 7332, 203, 1070, 3619, 1287, 2518, 32, 1040, 32, 5685, 1188, 46411, 81, 3953, 81, 266, 81, 5266, 3376, 203, 1070, 3619, 1287, 2518, 32, 1874, 32, 5999, 81, 15814, 1188, 10531, 81, 45194, 203, 1270, 44, 284, 1188, 20069, 1783, 284, 439, 17326, 81, 25431, 280, 2933, 203, 7343, 29986, 44, 284, 439, 17326, 81, 25431, 280, 3177, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 4073, 32, 34318, 26, 7490, 32, 1589, 27, 203, 505, 2116, 505, 280, 313, 2982, 38152, 677, 373, 267, 30, 516, 15727, 47017, 519, 31, 6356, 450, 30, 26144, 8335, 551, 3075, 103, 20, 203, 505, 1648, 505, 280, 313, 34, 32, 35, 20, 203, 505, 42086, 505, 280, 313, 2982, 38152, 677, 373, 267, 20, 203, 505, 1935, 505, 280, 313, 4765, 28705, 267, 50, 10690, 32, 7182, 20, 203, 505, 1517, 505, 280, 313, 24504, 20, 203, 505, 770, 505, 280, 313, 22749, 675, 225, 36, 34, 35, 41, 20, 203, 11877, 7294, 280, 636, 41766, 440, 11877, 7294, 392, 313, 2851, 30, 594, 893, 30, 1650, 30, 7533, 30, 1673, 657, 203, 589, 617, 6055, 26, 89, 35, 30, 485, 36, 30, 595, 35, 30, 595, 36, 711, 284, 442, 485, 35, 32, 4849, 77, 91, 35, 11159, 20696, 1446, 610, 485, 36, 32, 4849, 77, 91, 36, 11159, 20696, 1446, 203, 589, 617, 365, 1783, 81, 1070, 81, 8462, 2255, 26, 2255, 711, 284, 5166, 280, 3996, 32, 5459, 26, 605, 47, 1815, 27, 284, 537, 81, 365, 1783, 280, 20069, 1783, 32, 3406, 346, 284, 436, 1541, 328, 5166, 44, 291, 537, 81, 365, 1783, 32, 669, 81, 9309, 26, 426, 47, 466, 26, 1251, 77, 34, 5727, 21791, 47, 1251, 77, 35, 11159, 2285, 1075, 3439, 16344, 47, 1251, 77, 35, 11159, 11832, 6890, 284, 537, 81, 365, 1783, 32, 669, 81, 11672, 43270, 466, 26, 5854, 77, 34, 5727, 596, 26, 5854, 77, 35, 5259, 436, 6731, 328, 3996, 32, 11672, 27944, 284, 442, 537, 81, 365, 1783, 203, 589, 617, 297, 47758, 26, 7727, 35, 30, 17854, 36, 711, 284, 296, 35, 81, 5459, 280, 17854, 35, 32, 5459, 26, 605, 47, 1815, 27, 284, 296 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 4, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 5, 2, 2, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 4, 3, 4, 3, 5, 4, 5, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 8, 7, 8, 6, 7, 7, 6, 7, 7, 4, 4, 8, 7, 8, 6, 7, 7, 6, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 7, 6, 7, 6, 2, 2, 3, 3, 3, 3, 3, 3, 8, 8, 8, 7, 8, 8, 8, 7, 9, 8, 10, 10, 12, 11, 12, 11, 7, 8, 11, 10, 11, 10, 11, 11, 11, 7, 8, 11, 10, 11, 10, 11, 11, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 9, 9, 11, 10, 11, 10, 7, 9, 11, 10, 11, 10, 6, 7, 7, 7, 9, 10, 9, 2, 2, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 6, 7, 6, 8, 7, 8, 6, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 5, 5, 0, 0, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 0, 8, 8, 0, 1, 1, 0, 9, 9, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 10, 10, 1, 1, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 0, 12, 12, 0, 1, 2, 1, 4, 12, 12, 0, 13, 13, 0, 1, 2, 1, 4, 4, 4, 13, 13, 0, 0, 0, 14, 14, 0, 1, 2, 2, 14, 14, 0, 0, 0, 15, 15, 1, 2, 15, 15, 0, 0, 0, 16, 16, 1, 2, 16, 16, 0, 17, 17, 0, 0, 1, 2, 17, 17, 0, 17, 17, 0, 17, 17, 0, 0, 17, 17, 0, 18, 18, 0, 0, 1, 2, 1, 4, 18, 18, 0, 0, 19, 19, 0, 0, 1, 2, 1, 4, 19, 19, 0, 0, 0, 0, 0, 0, 0, 0, 20, 20, 0, 0, 1, 2, 1, 4, 4, 4, 20, 20, 0, 0, 0, 21, 21, 21, 21, 0, 0, 2, 2, 0, 0, 0, 0, 0, 21, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 31, 31, 1, 2, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 31, 31, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 32, 32, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 32, 32, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 3, 0, 0, 2, 0, 1, 1, 2, 1, 5, 0, 0, 2, 0, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 4, 4, 4, 1, 1, 1, 0, 33, 33, 1, 1, 2, 1, 1, 2, 2, 3, 2, 33, 33, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4 ]
[ 465, 5237, 203, 465, 831, 696, 4722, 203, 465, 831, 696, 3483, 203, 589, 4841, 974, 26, 3607, 711, 334, 296, 280, 2156, 26, 3607, 30, 330, 100, 683, 334, 706, 280, 296, 32, 850, 346, 334, 442, 706, 203, 589, 2575, 26, 1131, 93, 696, 711, 334, 2787, 280, 831, 696, 3483, 32, 936, 4058, 4228, 26, 93, 696, 4722, 32, 4480, 61, 696, 26, 32570, 26, 1131, 93, 696, 2610, 334, 308, 1517, 30, 7678, 30, 14716, 27, 280, 831, 696, 3483, 32, 936, 4228, 9062, 22640, 26, 3274, 27, 334, 415, 2287, 44, 284, 1459, 330, 2390, 370, 4474, 30, 9512, 334, 19447, 280, 831, 696, 3483, 32, 52, 1501, 346, 334, 2287, 280, 831, 696, 3483, 32, 936, 4228, 8285, 26, 3274, 30, 19447, 27, 334, 415, 2287, 44, 284, 1459, 330, 19821, 370, 18209, 32, 371, 81, 19821, 346, 284, 1459, 330, 23705, 370, 18209, 32, 371, 81, 23705, 346, 284, 1459, 330, 14623, 370, 18209, 32, 371, 81, 14623, 346, 284, 1459, 330, 12581, 370, 18209, 32, 371, 81, 12581, 346, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 415, 2069, 26, 3731, 32, 6118, 27, 863, 225, 36, 44, 284, 1459, 330, 8795, 44, 904, 101, 1509, 32, 93, 696, 25, 904, 5237, 32, 6118, 77, 34, 79, 284, 5237, 32, 4775, 26, 35, 27, 334, 2575, 26, 3731, 32, 6118, 77, 35, 1130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 6, 8, 8, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 4, 4, 7, 7, 6, 7, 7, 7, 6, 9, 9, 9, 8, 9, 9, 9, 8, 10, 10, 11, 11, 11, 10, 2, 2, 6, 5, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 6, 7, 6, 2, 2, 3, 3, 3, 3, 5, 7, 7, 6, 5, 6, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 2, 2, 4, 4, 7, 7, 6, 7, 7, 7, 6, 7, 6, 6, 6, 2, 2, 3, 3, 3, 3, 5, 7, 7, 8, 7, 8, 8, 8, 7, 4, 4, 5, 7, 7, 8, 7, 8, 8, 8, 7, 4, 4, 5, 7, 7, 8, 7, 8, 8, 8, 7, 4, 4, 5, 7, 7, 8, 7, 8, 8, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 5, 8, 7, 8, 6, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 2, 0, 4, 4, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 1, 2, 3, 0, 5, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 5, 5, 5, 0, 1, 2, 0, 0, 2, 2, 2, 1, 3, 3, 1, 1, 2, 0, 0, 2, 2, 2, 1, 3, 3, 2, 1, 2, 0, 0, 2, 2, 2, 1, 3, 3, 3, 1, 2, 0, 0, 2, 2, 2, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 3, 3, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 50, 18440, 70, 32, 2019, 26, 284, 36501, 280, 676, 1752, 70, 32, 2059, 4767, 463, 268, 2524, 370, 1378, 5652, 81, 10771, 47, 2700, 30, 1378, 9567, 81, 9732, 47, 1815, 30, 1378, 1244, 81, 2035, 47, 2700, 30, 1378, 12954, 405, 402, 81, 7230, 47, 2700, 30, 1378, 9567, 81, 19186, 47, 1815, 471, 284, 3048, 280, 330, 435, 2524, 322, 1550, 1541, 372, 312, 12368, 102, 1996, 4904, 4564, 203, 27, 203, 589, 316, 2524, 26, 10340, 711, 284, 15684, 32, 1704, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2, 5, 5, 4, 5, 4, 4, 4, 5, 5, 8, 8, 7, 8, 8, 7, 9, 9, 9, 7, 7, 9, 9, 8, 9, 7, 7, 7, 9, 9, 8, 9, 7, 7, 7, 9, 9, 8, 9, 7, 7, 7, 9, 9, 9, 9, 8, 9, 7, 7, 7, 9, 9, 8, 9, 7, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 1, 2, 2, 3, 3, 4, 3, 2, 2, 6, 7, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 0, 0, 0, 0, 9, 2, 1, 1, 1, 0, 0, 11, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 25613, 4151, 1188, 19440, 618, 4140, 13976, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 4262, 81, 36, 81, 9941, 81, 14600, 203, 1070, 48157, 742, 520, 94, 1570, 101, 32, 28771, 1188, 8527, 81, 2796, 81, 6565, 30, 8527, 81, 2796, 81, 7073, 203, 1070, 638, 2304, 1188, 622, 81, 2796, 81, 426, 30, 622, 81, 2796, 81, 1070, 81, 800, 203, 17557, 280, 225, 34, 203, 30916, 280, 225, 35, 203, 613, 45038, 280, 225, 36, 203, 5959, 81, 15916, 11980, 280, 308, 284, 308, 17557, 30, 225, 30121, 3990, 13356, 284, 308, 30916, 30, 30121, 11700, 13356, 284, 308, 613, 45038, 30, 225, 30121, 16986, 13356, 203, 27, 203, 5959, 81, 15916, 11980, 81, 17557, 280, 308, 17557, 21713, 203, 5959, 81, 15916, 11980, 81, 30916, 280, 308, 30916, 30, 3042, 45038, 21713, 203, 823, 11028, 1943, 1572, 26, 3378, 32, 1572, 711, 284, 665, 622, 81, 1493, 26, 784, 30, 2260, 711, 291, 442, 630, 32, 371, 26, 2958, 983, 47, 371, 81, 2796, 81, 426, 26, 1493, 490, 203, 50, 2958, 81, 36, 81, 9941, 81, 14600, 203, 823, 11028, 1943, 26, 3378, 32, 1243, 711, 284, 4262, 983, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 27, 284, 1780, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 27, 284, 2287, 280, 4549, 32, 12470, 30400, 26, 19833, 47, 5959, 81, 15916, 11980, 30, 1244, 47, 17557, 27, 284, 4684, 280, 11028, 1943, 1572, 346, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 32, 1311, 203, 823, 11028, 1572, 26, 3378, 32, 1572, 711, 284, 665, 622, 81, 2796, 26, 784, 30, 3973, 711, 291, 442, 630, 32, 371, 26, 2958, 983, 47, 371, 81, 2796, 81, 426, 26, 2796, 490, 284, 665, 622, 81, 5558, 81, 1028, 26, 784, 30, 2260, 711, 291, 442, 630, 32, 2029, 26, 1493, 505, 2958, 983, 47, 371, 81, 2796, 81, 426, 26, 1493, 471, 6029, 2287, 47, 17557, 27, 284, 665, 622, 81, 1170, 81, 28997, 81, 678, 26, 784, 30, 636, 711, 291, 442, 630, 32, 371, 26, 2958, 983, 47, 426, 27, 203, 50, 2958, 81, 36, 81, 9941, 81, 14600, 203, 823, 11028, 26, 18370, 4140, 13976, 30, 4549, 32, 1243, 711, 284, 2260, 280, 4549, 32, 13343, 26, 4152, 1943, 27, 284, 4262, 983, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 5799, 47, 1815, 27, 284, 636, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 744, 47, 1815, 30, 11771, 47, 1815, 27, 284, 1780, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 1244, 26409, 11771, 47, 1815, 27, 284, 1650, 280, 4549, 32, 30400, 26, 1536, 47, 34, 27, 284, 2287, 280, 4549, 32, 12470, 30400, 26, 19833, 47, 5959, 81, 15916, 11980, 30, 1244, 47, 17557 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 4, 4, 4, 8, 8, 3, 3, 5, 4, 4, 8, 8, 3, 3, 5, 5, 4, 4, 4, 8, 8, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 11, 10, 0, 2, 3, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 5, 4, 5, 3, 2, 2, 6, 5, 5, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 3, 3, 5, 5, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 3, 3, 5, 5, 7, 8, 8, 7, 9, 8, 9, 9, 9, 9, 7, 7, 8, 9, 7, 3, 3, 5, 5, 7, 7, 7, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 8, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 11, 10, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 9, 8, 9, 7, 0, 2, 3, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 4, 4, 4, 3, 3, 4, 5, 3, 2, 2, 5, 5, 7, 8, 7, 8, 8, 7, 3, 3, 6, 5, 5, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 9, 7, 3, 3, 5, 5, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 3, 3, 5, 5, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 7, 8, 9, 7, 3, 3, 5, 5, 7, 8, 7, 9, 8, 9, 7, 3, 3, 5, 5, 7, 8, 8, 7, 9, 8, 9, 9, 9, 9, 7, 7, 8, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 1, 2, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 3, 3, 1, 2, 2, 2, 1, 1, 5, 5, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 0, 13, 13, 1, 1, 2, 0, 1, 2, 2, 13, 13, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 15, 15, 1, 2, 0, 1, 2, 2, 15, 15, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 16, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2 ]
[ 465, 15798, 203, 465, 9226, 203, 465, 42518, 203, 823, 12801, 1290, 2059, 2247, 3021, 1006, 26, 18986, 32, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 630, 32, 725, 280, 9226, 32, 4997, 5291, 1290, 346, 334, 665, 4489, 36208, 26, 784, 30, 2074, 711, 284, 630, 32, 2250, 81, 8968, 280, 2074, 334, 665, 18883, 1853, 5125, 26, 784, 30, 20695, 30, 2074, 711, 284, 20695, 26, 2250, 27, 334, 665, 894, 47134, 26, 784, 711, 284, 343, 3131, 280, 42518, 32, 8483, 1290, 2059, 2247, 3021, 26, 784, 30, 630, 30, 1665, 27, 284, 3218, 81, 1851, 5483, 280, 9226, 32, 1853, 5125, 284, 9226, 32, 1853, 5125, 280, 630, 32, 13190, 1853, 5125, 284, 630, 32, 2250, 81, 8968, 280, 1665, 284, 630, 32, 1945, 1293, 280, 42518, 32, 3196, 32, 6103, 81, 15707, 284, 343, 3131, 1114, 2247, 12542, 2130, 346, 284, 630, 32, 5299, 26, 784, 32, 2250, 81, 8968, 30, 630, 27, 284, 630, 32, 5299, 26, 784, 32, 1945, 1293, 30, 42518, 32, 3196, 32, 6103, 81, 7383, 1392, 27, 284, 630, 32, 2250, 81, 8968, 280, 1665, 284, 630, 32, 1945, 1293, 280, 1665, 284, 343, 3131, 1114, 2247, 11162, 2130, 346, 284, 630, 32, 5299, 26, 784, 32, 2250, 81, 8968, 30, 630, 27, 284, 630, 32, 5299, 26, 784, 32, 1945, 1293, 30, 42518, 32, 3196, 32, 6103, 81, 6323, 27, 284, 630, 32, 2250, 81, 8968, 280, 1665, 284, 630, 32, 1945, 1293, 280, 1665, 284, 343, 3131, 1114, 2247, 11162, 6495, 26, 38, 36, 27, 10065, 630, 32, 5299, 26, 784, 32, 2250, 81, 8968, 30, 630, 27, 284, 630, 32, 5299, 26, 784, 32, 1945, 1293, 30, 42518, 32, 3196, 32, 6103, 81, 1724, 1345, 27, 284, 630, 32, 2250, 81, 8968, 280, 1665, 284, 630, 32, 1945, 1293, 280, 1665, 284, 343, 3131, 1114, 2247, 11162, 6495, 26, 34, 27, 284, 630, 32, 5299, 26, 784, 32, 2250, 81, 8968, 30, 630, 27, 284, 630, 32, 5299, 26, 784, 32, 1945, 1293, 30, 42518, 32, 3196, 32, 6103, 81, 15707, 27, 284, 436, 1340, 328, 7197, 38, 36, 30, 225, 35, 30, 225, 35, 34, 34, 711, 397, 630, 32, 2250, 81, 8968, 280, 1665, 397, 630, 32, 1945, 1293, 280, 1665, 397, 343, 3131, 1114, 2247, 11162, 6495, 26, 687, 27, 397, 630, 32, 5299, 26, 784, 32, 2250, 81, 8968, 30, 630, 27, 397, 630, 32, 5299, 26, 784, 32, 1945, 1293, 30, 42518, 32, 3196, 32, 6103, 81, 1724, 1345, 27, 284, 9226, 32, 1853, 5125, 280, 3218, 81, 1851, 5483, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 6, 6, 7, 8, 8, 4, 4, 7, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 9, 7, 8, 8, 8, 4, 4, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 9, 10, 8, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 9, 10, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 9, 10, 8, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 9, 10, 8, 9, 9, 9, 7, 4, 4, 5, 5, 5, 8, 8, 6, 6, 7, 6, 6, 7, 7, 7, 6, 5, 5, 9, 10, 10, 10, 8, 8, 6, 6, 9, 10, 10, 8, 8, 6, 6, 10, 9, 10, 10, 10, 9, 10, 9, 6, 6, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 9, 6, 6, 9, 10, 9, 11, 10, 11, 11, 9, 9, 11, 12, 10, 11, 11, 11, 11, 9, 4, 4, 7, 8, 8, 6, 6, 7, 7, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 3, 2, 2, 2, 1, 4, 4, 23, 23, 23, 1, 1, 3, 3, 3, 3, 3, 5, 5, 5, 3, 23, 23, 0, 2, 2, 2, 0, 0, 5, 5, 0, 2, 2, 0, 0, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 0, 4, 4, 0, 0, 1, 1, 1, 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 ]
[ 505, 2116, 505, 280, 330, 14592, 278, 673, 25, 203, 1070, 399, 3356, 83, 5482, 32, 5983, 1188, 8145, 203, 1070, 399, 3356, 83, 5482, 32, 5983, 1188, 9336, 81, 5983, 203, 1070, 2322, 1188, 13380, 1911, 203, 465, 2361, 203, 505, 2116, 505, 280, 330, 92, 1381, 278, 673, 25, 203, 12124, 280, 330, 16437, 25, 203, 1160, 280, 330, 76, 6271, 35, 25, 203, 3235, 81, 891, 280, 225, 36, 34, 38, 42, 203, 6081, 81, 14598, 280, 225, 34, 203, 10495, 1498, 81, 1055, 280, 225, 35, 39, 203, 11524, 81, 1055, 280, 225, 36, 34, 203, 10495, 1498, 81, 30518, 280, 225, 34, 32, 42, 203, 11524, 81, 30518, 280, 225, 35, 33, 37, 34, 32, 34, 203, 96, 81, 19245, 280, 225, 35, 203, 2178, 993, 280, 225, 36, 34, 34, 34, 203, 2388, 81, 983, 280, 3056, 2833, 33, 14592, 278, 673, 33, 13025, 33, 51, 3356, 83, 33, 1815, 81, 44438, 25, 203, 2024, 81, 761, 280, 3056, 2833, 33, 14592, 278, 673, 33, 13025, 33, 51, 3356, 83, 33, 1815, 81, 44438, 32, 4432, 25, 203, 1821, 81, 6446, 280, 3177, 203, 1821, 81, 10957, 280, 2933, 203, 32483, 280, 1605, 203, 1163, 280, 8145, 346, 203, 1163, 32, 470, 81, 12124, 26, 12124, 27, 203, 1163, 32, 470, 81, 1160, 26, 1160, 27, 203, 1163, 32, 470, 81, 23776, 81, 891, 26, 3235, 81, 891, 27, 203, 7389, 280, 629, 26, 305, 1911, 26, 38, 547, 4434, 463, 6949, 1425, 225, 35, 40, 27, 203, 1163, 32, 470, 81, 7389, 26, 7389, 27, 203, 1163, 32, 470, 81, 32620, 27976, 81, 37159, 26, 6081, 81, 14598, 27, 203, 1163, 32, 470, 81, 10495, 1498, 81, 1055, 26, 10495, 1498, 81, 1055, 27, 203, 1163, 32, 470, 81, 10495, 1498, 81, 30518, 26, 10495, 1498, 81, 30518, 27, 203, 1163, 32, 470, 81, 11524, 81, 1055, 26, 11524, 81, 1055, 27, 203, 1163, 32, 470, 81, 11524, 81, 30518, 26, 11524, 81, 30518, 27, 203, 1163, 32, 470, 81, 2178, 993, 26, 2178, 993, 27, 203, 5660, 280, 3051, 81, 983, 474, 13637, 474, 1542, 203, 1163, 32, 470, 81, 5660, 26, 5660, 27, 203, 426, 280, 1542, 474, 7610, 1508, 81, 10957, 25, 203, 1163, 32, 470, 81, 426, 26, 426, 27, 203, 32483, 32, 1689, 26, 1163, 27, 203, 5983, 81, 1260, 280, 2361, 32, 16958, 26, 32483, 30, 1244, 47, 4434, 81, 5983, 30, 3844, 81, 3494, 47, 1815, 30, 10525, 47, 36, 27, 203, 1793, 2156, 26, 2024, 81, 761, 30, 330, 105, 48891, 619, 706, 81, 761, 44, 284, 706, 81, 761, 32, 1821, 26, 5983, 81, 1260, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 2, 2, 0, 3, 2, 2, 4, 0, 4, 3, 4, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 0, 3, 2, 2, 4, 8, 8, 8, 9, 8, 7, 6, 8, 8, 4, 5, 5, 4, 0, 4, 3, 4, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 0, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 0, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 0, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 0, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 0, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 0, 3, 2, 2, 5, 5, 4, 4, 3, 3, 0, 4, 3, 4, 4, 4, 3, 4, 3, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 0, 4, 3, 4, 4, 4, 3, 4, 3, 0, 4, 3, 4, 3, 4, 3, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 4, 4, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 0, 1, 1, 6, 7, 7, 7, 6, 6, 8, 8, 4, 4, 6, 6, 1, 1, 1, 6, 6, 5, 6, 5, 6, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 3, 3, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 1, 0, 39, 39, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 39, 39, 39, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 589, 309, 32612, 1324, 26, 658, 30, 8268, 711, 284, 415, 1591, 863, 3330, 461, 2069, 26, 658, 32, 2998, 440, 29450, 610, 225, 35, 44, 291, 415, 1591, 610, 3134, 44, 324, 442, 2933, 284, 442, 3177, 203, 589, 1505, 7252, 26, 101, 32612, 711, 284, 436, 2698, 328, 309, 32612, 44, 291, 436, 595, 328, 2155, 26, 1657, 26, 643, 8531, 324, 436, 594, 328, 2155, 26, 91, 29, 35, 30, 1657, 26, 643, 8531, 400, 415, 309, 32612, 1324, 26, 643, 77, 91, 614, 643, 77, 92, 10794, 528, 442, 3177, 284, 442, 2933, 203, 589, 1505, 7627, 26, 101, 32612, 711, 284, 436, 2623, 328, 2155, 308, 1657, 26, 101, 32612, 77, 34, 5259, 44, 291, 436, 2384, 328, 2155, 26, 1657, 26, 101, 32612, 8531, 324, 436, 595, 328, 2155, 26, 2273, 29, 35, 30, 1657, 26, 101, 32612, 8531, 400, 415, 309, 32612, 1324, 26, 101, 32612, 77, 2273, 1674, 2592, 614, 101, 32612, 77, 91, 1674, 2592, 10794, 528, 442, 3177, 284, 442, 2933, 203, 589, 1505, 69, 20301, 26, 101, 32612, 30, 9699, 2380, 30, 9699, 3024, 711, 284, 436, 14627, 328, 2155, 26, 1657, 26, 101, 32612, 77, 34, 5259, 44, 291, 436, 595, 328, 2155, 26, 1657, 26, 101, 32612, 77, 34, 5259, 44, 324, 436, 594, 328, 2155, 26, 91, 29, 35, 30, 1657, 26, 101, 32612, 77, 34, 5259, 44, 400, 415, 309, 32612, 1324, 26, 101, 32612, 77, 410, 26, 91, 33, 9699, 2380, 7283, 410, 26, 9699, 33, 9699, 3024, 4586, 9699, 3024, 10854, 656, 428, 91, 23, 9699, 2380, 29, 9699, 23, 9699, 3024, 28, 9699, 2380, 614, 2033, 766, 4511, 309, 32612, 77, 410, 26, 92, 33, 9699, 2380, 7283, 410, 26, 9699, 33, 9699, 3024, 4586, 9699, 3024, 10854, 656, 428, 92, 23, 9699, 2380, 29, 9699, 23, 9699, 3024, 28, 9699, 2380, 10794, 528, 442, 3177, 284, 442, 2933, 203, 589, 1505, 1934, 26, 101, 32612, 30, 9699, 2380, 30, 9699, 3024, 711, 284, 415, 1505, 7252, 26, 101, 32612, 711, 291, 415, 1505, 7627, 26, 101, 32612, 711, 324, 415, 1505, 69, 20301, 26, 101, 32612, 30, 9699, 2380, 30, 9699, 3024, 711, 400, 442, 2933, 284, 442, 3177, 203, 589, 3203, 1142, 37530, 26, 101, 32612, 30, 19111, 30, 9699, 2380, 30, 9699, 3024, 711, 284, 309, 32612, 4001, 280, 309, 32612, 284, 5295, 280, 1605, 3701, 1751, 4390, 280, 1605, 284, 436, 2698, 328, 2155, 26, 1657, 26, 101, 32612, 8531, 291, 436, 4376, 328, 2155, 26, 1657, 26, 101, 32612, 77, 643, 5259, 44, 324, 415, 2069, 26, 101, 32612, 77, 643, 1674, 1501, 997, 2998, 1157, 610, 225, 35, 44, 400, 4036, 324, 813, 44, 400, 6977, 280, 3850, 26, 19111, 27, 400, 1550, 2352, 280, 2698, 400, 1550, 1705, 280, 4376, 400, 2218, 2933, 44, 528, 1596, 44, 715, 786, 280, 2354, 26, 7010, 27, 715, 5295, 32, 1689, 2009, 1700, 2352, 30, 1700, 1705, 30, 853, 30, 7010, 1130, 715, 309, 32612, 4001, 77, 1700, 2352, 1674, 1700, 1705, 79, 280, 786, 715, 415, 1505, 1934, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 2, 3, 2, 3, 2, 1, 1, 3, 5, 5, 4, 4, 7, 10, 9, 10, 9, 11, 5, 5, 6, 3, 3, 3, 5, 6, 6, 5, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 4, 3, 3, 3, 5, 5, 5, 7, 9, 9, 10, 9, 5, 5, 7, 7, 7, 9, 11, 10, 11, 9, 11, 11, 12, 11, 7, 7, 9, 11, 11, 11, 13, 12, 13, 12, 13, 12, 13, 12, 9, 9, 11, 2, 2, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 4, 7, 7, 9, 9, 8, 9, 8, 3, 3, 3, 5, 5, 5, 7, 9, 9, 10, 10, 9, 5, 5, 7, 7, 7, 9, 11, 10, 11, 9, 11, 11, 12, 12, 11, 7, 7, 9, 11, 11, 11, 14, 14, 13, 14, 13, 13, 12, 14, 14, 13, 14, 13, 13, 12, 9, 9, 11, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 1, 1, 3, 3, 3, 5, 7, 7, 9, 9, 8, 9, 8, 3, 3, 3, 5, 5, 5, 7, 9, 9, 11, 11, 10, 11, 10, 5, 5, 5, 7, 7, 7, 9, 11, 10, 11, 9, 11, 11, 13, 13, 12, 13, 12, 7, 7, 7, 9, 11, 11, 11, 14, 14, 13, 16, 16, 18, 17, 18, 18, 16, 17, 17, 19, 18, 19, 19, 17, 16, 16, 13, 13, 12, 15, 14, 15, 15, 13, 16, 15, 16, 16, 14, 15, 15, 12, 11, 11, 12, 11, 14, 13, 16, 16, 18, 17, 18, 18, 16, 17, 17, 19, 18, 19, 19, 17, 16, 16, 13, 13, 12, 15, 14, 15, 15, 13, 16, 15, 16, 16, 14, 15, 15, 12, 9, 9, 11, 2, 2, 3, 0, 1, 1, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 1, 1, 3, 5, 5, 6, 6, 5, 3, 3, 5, 7, 7, 8, 8, 7, 5, 5, 7, 9, 9, 9, 10, 10, 9, 10, 10, 9, 10, 10, 9, 7, 7, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 3, 3, 5, 7, 7, 8, 8, 7, 3, 3, 5, 5, 5, 7, 9, 9, 11, 11, 10, 11, 10, 5, 5, 5, 7, 10, 15, 15, 14, 15, 14, 14, 13, 13, 12, 8, 8, 9, 7, 7, 7, 7, 7, 8, 8, 8, 11, 11, 13, 14, 13, 9, 9, 12, 11, 11, 9, 9, 12, 11, 11, 9, 9, 10, 10, 10, 10, 12, 12, 12, 15, 15, 17, 18, 17, 13, 13, 16, 17, 16, 18, 18, 17, 18, 18, 17, 18, 17, 18, 17, 13, 13, 18, 18, 17, 18, 18, 17, 17, 17, 16, 15, 15, 13, 13, 14, 17, 17 ]
[ 0, 0, 1, 1, 2, 1, 2, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 3, 2, 3, 0, 0, 0, 4, 4, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 3, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 3, 0, 0, 0, 4, 4, 1, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 2, 5, 5, 2, 3, 3, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 4, 0, 0, 2, 2, 3, 0, 0, 2, 2, 2, 2, 2, 4, 0, 0, 0, 4, 4, 1, 0, 4, 4, 1, 2, 1, 1, 2, 3, 3, 2, 5, 5, 2, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 0, 0, 0, 4, 4, 1, 0, 5, 5, 1, 1, 2, 1, 1, 2, 3, 2, 5, 5, 2, 7, 7, 2, 5, 5, 0, 0, 0, 0, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 3, 3, 3, 1, 0, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 5, 1, 7, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 3, 0, 1 ]
[ 465, 15798, 203, 1070, 594, 17321, 36, 32, 4882, 4676, 1188, 971, 17321, 7233, 203, 1070, 594, 17321, 36, 1188, 7778, 417, 30, 10572, 203, 2121, 280, 10572, 346, 203, 823, 11398, 7233, 26, 60, 17321, 7233, 711, 284, 665, 894, 81, 2187, 26, 784, 711, 291, 42963, 280, 4533, 32, 1070, 81, 800, 44926, 5816, 438, 3417, 2038, 110, 1656, 861, 438, 3417, 2038, 683, 291, 1201, 42963, 32, 3169, 346, 610, 330, 2700, 110, 1815, 25, 284, 665, 894, 81, 11083, 26, 784, 711, 291, 42963, 280, 4533, 32, 1070, 81, 800, 41412, 1656, 225, 35, 438, 4444, 2038, 110, 1656, 225, 36, 438, 4444, 2038, 2699, 683, 291, 1201, 42963, 32, 3169, 346, 610, 330, 2700, 110, 1815, 25, 284, 665, 894, 81, 12173, 26, 784, 711, 291, 42963, 280, 4533, 32, 1070, 81, 800, 41412, 1656, 225, 35, 438, 17859, 2038, 110, 1656, 225, 36, 438, 17859, 2038, 2699, 683, 291, 1201, 42963, 32, 3169, 346, 610, 330, 1815, 110, 2700, 25, 284, 665, 894, 81, 5729, 26, 784, 711, 291, 42963, 280, 4533, 32, 1070, 81, 800, 41412, 1656, 313, 3986, 20, 438, 7216, 2038, 110, 1656, 313, 39275, 20, 438, 7216, 2038, 2699, 683, 291, 1201, 42963, 32, 3169, 346, 610, 330, 1815, 110, 2700, 25, 284, 665, 894, 81, 681, 17615, 26, 784, 711, 291, 42963, 280, 4533, 32, 1070, 81, 800, 41412, 324, 3335, 225, 38, 36, 438, 3469, 2038, 324, 3335, 225, 38, 36, 438, 3417, 2038, 324, 3335, 225, 38, 36, 438, 4909, 2038, 324, 3335, 4909, 438, 4909, 2038, 324, 3335, 225, 38, 36, 438, 1451, 2038, 324, 3335, 225, 38, 36, 438, 802, 2038, 324, 3335, 313, 3986, 20, 438, 802, 2038, 324, 3335, 313, 3986, 20, 438, 6613, 2038, 324, 3335, 428, 35, 79, 438, 6613, 2038, 324, 3335, 2155, 438, 20695, 2038, 324, 3335, 225, 38, 36, 438, 20695, 2038, 324, 3335, 2155, 26, 39, 27, 438, 27182, 2038, 324, 3335, 2149, 438, 7996, 2038, 324, 3335, 1672, 2665, 438, 7996, 2038, 324, 3335, 1605, 438, 7996, 2038, 291, 4247, 683, 291, 443, 4300, 7167, 26, 2665, 711, 324, 3097, 291, 1201, 42963, 32, 3169, 26, 1772, 2665, 47, 3758, 7167, 4251, 2998, 346, 610, 428, 324, 330, 2700, 370, 330, 1815, 370, 330, 2700, 370, 330, 1815, 370, 330, 1815, 370, 330, 2700, 370, 324, 330, 1815, 370, 330, 1815, 370, 330, 1815, 370, 330, 1815, 370, 330, 2700, 370, 330, 1815, 370, 324, 330, 1815, 370, 330, 1815, 370, 330, 2700, 25, 291, 1481, 284, 665, 894, 81, 7508, 26, 784, 711, 291, 42963, 280, 4533, 32, 1070, 81, 800, 26, 324, 23728, 428, 35, 30, 225, 36, 30, 225, 37, 79, 438, 6613, 2038, 19994, 324, 23728, 313, 3986, 20, 438, 6613, 2038, 19994, 324, 23728, 225, 38, 36, 438, 6613, 2038, 25, 291, 829, 291, 1201, 42963, 32, 3169, 346, 610, 330, 1815, 110, 1815, 110, 2700, 25, 284, 665, 894, 81, 7607, 26, 784, 711, 291, 42963, 280, 4533, 32, 1070, 81, 800, 44926, 313, 39275, 20, 438, 8342, 2038, 110, 1656, 313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 0, 3, 2, 2, 4, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 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, 6, 6, 7, 6, 5, 5, 4, 4, 5, 10, 11, 10, 12, 12, 11, 13, 13, 13, 9, 8, 6, 6, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 4, 4, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 4, 4, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 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, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 823, 17446, 984, 26, 984, 711, 203, 589, 10859, 81, 22192, 2262, 284, 1459, 463, 396, 43774, 7307, 683, 284, 1596, 44, 291, 2218, 2933, 44, 324, 1596, 44, 400, 816, 280, 6761, 324, 2940, 17446, 984, 44, 400, 1459, 463, 8133, 17446, 984, 13744, 32, 29765, 299, 30865, 324, 813, 44, 400, 1459, 463, 396, 43774, 6584, 44, 15466, 100, 16805, 1643, 26, 106, 490, 284, 8295, 44, 291, 1459, 463, 396, 43774, 22206, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 2, 1, 1, 5, 7, 7, 7, 7, 2, 2, 3, 3, 3, 5, 5, 5, 5, 7, 7, 7, 10, 10, 7, 7, 8, 9, 8, 8, 8, 12, 14, 14, 14, 14, 14, 14, 14, 14, 7, 7, 8, 8, 8, 12, 16, 16, 16, 16, 16, 16, 16, 15, 14, 15, 14, 3, 3, 4, 4, 4, 8, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 2304, 1188, 308, 284, 629, 81, 271, 81, 4108, 30, 284, 7193, 2105, 30, 203, 27, 203, 823, 624, 18932, 17773, 3989, 26, 1120, 16653, 711, 284, 12265, 81, 2474, 280, 330, 7015, 108, 17773, 32, 557, 25, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 12390, 66, 46, 32599, 8828, 34, 31, 43, 83, 31, 15188, 31, 76, 6155, 5421, 32, 7015, 108, 17773, 8169, 557, 33, 12390, 66, 46, 13074, 48, 29172, 110, 7365, 4165, 12390, 66, 46, 314, 8828, 34, 31, 43, 83, 31, 15188, 31, 76, 6155, 9905, 284, 617, 24685, 280, 7316, 291, 330, 965, 950, 330, 525, 555, 14734, 717, 3876, 651, 391, 83, 32, 7015, 108, 17773, 32, 557, 33, 29172, 33, 18543, 38, 90, 7467, 10611, 93, 964, 33, 5161, 479, 81, 4100, 11653, 81, 1382, 81, 2135, 81, 3626, 370, 291, 330, 954, 39, 950, 330, 43, 87, 40, 41, 87, 34, 39, 3011, 41, 85, 34, 37, 84, 42, 36, 38, 42, 42, 86, 42, 41, 36, 37, 37, 83, 43, 33958, 41, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 18543, 38, 90, 7467, 10611, 93, 964, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 25717, 479, 506, 1975, 11653, 44, 886, 11313, 6061, 370, 324, 330, 6932, 950, 225, 37, 34, 41, 30, 324, 330, 32599, 81, 314, 950, 330, 14734, 717, 3876, 651, 391, 83, 370, 324, 330, 2310, 950, 330, 954, 39, 44, 41, 4342, 39, 2312, 37, 85, 36, 35, 85, 39, 42, 43, 37, 37, 41, 39, 38847, 39, 35, 86, 43, 84, 35, 39, 86, 43, 2087, 370, 291, 801, 284, 801, 301, 291, 330, 965, 950, 330, 525, 555, 92, 362, 3795, 42, 39, 32, 7015, 108, 17773, 32, 557, 33, 7365, 33, 34, 40, 37, 92, 1952, 74, 39, 340, 36, 33, 374, 690, 81, 96, 3690, 905, 81, 5765, 290, 14900, 46471, 391, 1373, 81, 618, 370, 291, 330, 954, 39, 950, 330, 3590, 41, 42, 34, 41, 41, 42, 39, 43, 32622, 41, 3590, 1225, 38, 36, 43, 39, 86, 41, 86, 41, 3499, 43, 34, 36, 39, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 34, 40, 37, 92, 1952, 74, 39, 340, 36, 370, 324, 330, 407, 950, 330, 29469, 370, 324, 330, 1311, 950, 330, 3761, 690, 549, 489, 3690, 905, 358, 108, 290, 14900, 429, 23282, 1373, 20775, 370, 324, 330, 6932, 950, 225, 36, 34, 37, 30, 324, 330, 32599, 81, 314, 950, 330, 92, 362, 3795, 42, 39, 370, 324, 330, 2310, 950, 330, 954, 39, 44, 36, 86, 36, 84, 40, 37, 38, 34, 88, 43, 35, 42, 42, 85, 42, 85, 38, 2087, 42, 43, 35, 39, 42, 34, 87, 38, 42, 35, 34, 43, 40, 370, 291, 801, 284, 16752, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 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, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 10, 10, 10, 8, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 5, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 10, 10, 10, 8, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 3 ]
[ 465, 15798, 203, 1070, 29346, 1188, 43547, 203, 81, 4680, 280, 225, 34, 203, 823, 17988, 26, 1473, 711, 334, 477, 28497, 32, 2597, 334, 665, 1390, 1534, 14540, 26, 784, 30, 617, 711, 284, 3649, 617, 4680, 284, 617, 4680, 280, 617, 4680, 474, 225, 35, 284, 442, 617, 4680, 203, 589, 2648, 13611, 1061, 10569, 2176, 711, 334, 442, 17988, 346, 203, 50, 28497, 32, 2597, 203, 589, 2648, 13611, 14540, 2176, 711, 334, 442, 17988, 346, 203, 823, 35954, 4044, 24224, 26, 18986, 32, 7233, 711, 334, 665, 894, 2597, 17608, 26, 784, 711, 284, 630, 32, 31196, 2259, 26, 1922, 13611, 1061, 10569, 26, 35, 471, 2648, 13611, 1061, 10569, 26, 36, 490, 284, 630, 32, 31196, 2259, 26, 1922, 13611, 14540, 26, 35, 471, 2648, 13611, 14540, 26, 36, 490, 284, 630, 32, 31196, 2259, 26, 1922, 13611, 1061, 10569, 26, 35, 471, 2648, 13611, 1061, 10569, 26, 35, 490, 284, 630, 32, 4983, 26, 1922, 13611, 14540, 26, 35, 471, 2648, 13611, 14540, 26, 35, 490, 334, 665, 894, 2597, 444, 4592, 14526, 4495, 1562, 8518, 3080, 26, 784, 711, 284, 9214, 280, 17988, 346, 284, 786, 81, 1028, 81, 658, 280, 9214, 32, 936, 1534, 14540, 26, 35, 27, 284, 630, 32, 4983, 26, 853, 81, 1028, 81, 658, 30, 9214, 32, 936, 1534, 14540, 26, 35, 490, 284, 630, 32, 31196, 2259, 26, 853, 81, 1028, 81, 658, 30, 9214, 32, 936, 1534, 14540, 26, 36, 490, 334, 665, 894, 2597, 444, 4592, 3993, 27106, 332, 14526, 1562, 20862, 8354, 26, 784, 711, 284, 9214, 280, 17988, 346, 284, 40560, 81, 3986, 280, 17988, 346, 284, 630, 32, 31196, 2259, 26, 3986, 32, 936, 1534, 14540, 26, 35, 471, 40560, 81, 3986, 32, 936, 1534, 14540, 26, 35, 490, 334, 665, 894, 2597, 444, 4592, 3993, 27106, 332, 14526, 1562, 3353, 17339, 8354, 26, 784, 711, 284, 9214, 280, 17988, 346, 284, 2401, 81, 19407, 81, 998, 280, 9214, 32, 936, 1534, 14540, 26, 35, 27, 284, 9214, 280, 1665, 284, 9214, 280, 17988, 346, 284, 630, 32, 31196, 2259, 26, 2135, 81, 19407, 81, 998, 30, 9214, 32, 936, 1534, 14540, 26, 35, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 2, 2, 3, 0, 1, 1, 2, 3, 2, 1, 1, 6, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 7, 5, 5, 8, 7, 7, 9, 8, 8, 9, 5, 5, 6, 7, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 5, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 3, 2, 2, 4, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 9, 9, 9, 9, 9, 10, 9, 7, 9, 9, 9, 9, 10, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 10, 9, 7, 9, 9, 9, 10, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 10, 9, 7, 9, 9, 9, 9, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 10, 9, 7, 9, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 7, 7, 9, 10, 10, 10, 9, 10, 9, 4, 4, 7, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 9, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 7, 7, 6, 6, 8, 4, 4, 7, 8, 8, 7, 10, 9, 10, 10, 10, 9, 10, 9, 7, 10, 10, 9, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 4, 4, 6, 6, 8, 4, 4, 7, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 9, 10, 10, 10, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 3, 3, 2, 1, 2, 3, 3, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 2, 1, 0, 4, 4, 1, 1, 1, 2, 2, 4, 4, 0, 1, 0, 0, 0, 1, 2, 5, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 802, 1188, 16469, 203, 1070, 5237, 1188, 24621, 203, 12443, 280, 2149, 203, 1745, 47786, 280, 5053, 20157, 1746, 950, 330, 5233, 43, 41, 42, 39, 24966, 1717, 330, 7670, 417, 950, 330, 5233, 43, 41, 42, 40, 45, 6040, 203, 979, 1628, 328, 24621, 44, 203, 202, 928, 280, 1992, 26, 7201, 30, 2761, 26, 2521, 30, 1628, 32, 2998, 463, 330, 2610, 203, 202, 325, 225, 43, 610, 2069, 26, 928, 711, 357, 202, 1977, 30, 636, 280, 1628, 77, 34, 44, 36, 79, 357, 202, 9410, 30, 4921, 280, 1628, 6448, 36, 10056, 357, 202, 426, 280, 636, 32, 2998, 12605, 683, 357, 202, 426, 30, 1334, 280, 6470, 2473, 2524, 26, 426, 20129, 35, 5727, 636, 6448, 35, 79, 357, 202, 1977, 81, 4882, 280, 11420, 32, 371, 26, 1977, 30, 12797, 357, 202, 426, 81, 4882, 280, 1760, 81, 4882, 32, 371, 26, 426, 30, 12797, 357, 202, 426, 81, 4882, 77, 410, 26, 891, 2177, 280, 308, 9410, 30, 4921, 27, 357, 202, 1977, 81, 4882, 77, 426, 79, 280, 636, 81, 4882, 357, 202, 12443, 77, 1977, 79, 280, 1760, 81, 4882, 203, 1216, 5881, 78, 203, 46, 916, 772, 1816, 48, 203, 46, 1311, 48, 14674, 14013, 377, 1311, 48, 203, 46, 1621, 827, 347, 878, 33, 2079, 413, 1109, 46, 2513, 40850, 77, 1958, 284, 3361, 301, 3208, 44, 8400, 45, 1963, 44, 6176, 45, 320, 284, 1858, 301, 3168, 31, 8631, 44, 19742, 45, 320, 284, 361, 30, 12077, 301, 3168, 44, 225, 35, 1082, 4810, 39279, 45, 3714, 44, 225, 34, 32, 36, 405, 45, 320, 284, 12077, 301, 1344, 31, 2934, 44, 4193, 45, 320, 284, 361, 44, 2232, 31, 2661, 301, 1344, 31, 2934, 44, 2841, 45, 320, 284, 361, 301, 3208, 44, 588, 17500, 45, 320, 203, 1257, 5521, 9612, 2329, 1395, 1389, 436, 1963, 3145, 21890, 569, 284, 12077, 32, 20157, 1746, 301, 3208, 44, 588, 88, 43, 37, 45, 320, 284, 12077, 32, 7670, 417, 301, 3208, 44, 588, 40, 88, 43, 45, 320, 203, 1109, 3212, 48, 1958, 377, 1621, 48, 203, 377, 1816, 772, 1548, 48, 203, 46, 90, 35, 48, 14674, 14013, 377, 90, 35, 48, 9592, 203, 12443, 280, 11420, 32, 3028, 346, 203, 12443, 32, 3323, 26, 5962, 312, 30, 323, 44, 13593, 26, 83, 77, 34, 614, 323, 77, 34, 5259, 203, 979, 1760, 30, 4467, 328, 11420, 44, 203, 202, 15335, 280, 2149, 203, 202, 979, 3312, 328, 4467, 32, 2810, 2262, 357, 202, 979, 1334, 328, 3312, 32, 3494, 2262, 355, 202, 15335, 77, 891, 79, 280, 2933, 15773, 202, 15335, 280, 12998, 32, 3494, 346, 203, 202, 15335, 32, 3323, 346, 203, 202, 4243, 280, 4467, 32, 3028, 346, 203, 202, 4243, 32, 3323, 26, 5962, 312, 30, 323, 44, 13593, 26, 83, 77, 34, 614, 323, 77, 34, 5259, 203, 202, 1216, 4145, 90, 36, 772, 83, 636, 28664, 101, 45679, 101, 377, 83, 855, 90, 36, 6457, 904, 308, 1977, 30, 1760, 27, 203, 202, 1216, 4145, 1274, 772, 7691, 772, 359, 772, 349 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 0, 3, 3, 2, 2, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 5, 4, 4, 6, 7, 6, 6, 8, 9, 8, 8, 10, 11, 10, 12, 10, 2, 2, 3, 3, 5, 4, 4, 6, 7, 6, 3, 3, 8, 7, 7, 6, 6, 7, 9, 8, 9, 7, 4, 4, 8, 7, 7, 6, 6, 7, 10, 8, 4, 4, 7, 6, 6, 8, 9, 8, 10, 4, 4, 8, 7, 7, 6, 6, 11, 10, 9, 11, 10, 13, 10, 7, 8, 10, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 9, 8, 8, 4, 4, 7, 7, 7, 6, 6, 9, 9, 8, 9, 8, 9, 8, 8, 4, 4, 8, 8, 8, 7, 9, 9, 10, 9, 6, 6, 8, 7, 7, 7, 4, 4, 8, 8, 8, 7, 8, 7, 6, 6, 7, 7, 4, 4, 8, 7, 8, 7, 6, 6, 7, 7, 0, 1, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 0, 4, 3, 4, 3, 4, 4, 5, 5, 4, 4, 6, 8, 7, 8, 7, 6, 7, 8, 7, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 5, 4, 4, 2, 2, 3, 3, 3, 3, 5, 6, 5, 3, 3, 5, 5, 5, 5, 7, 8, 7, 5, 5, 10, 9, 10, 9, 8, 8, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 6, 5, 6, 5, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 6, 5, 6, 5, 6, 6, 7, 7, 6, 6, 8, 10, 9, 10, 9, 8, 9, 10, 9, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 5, 5, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 3, 3, 0, 0, 2, 0, 0, 0, 2, 2, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 3, 0, 8, 8, 1, 1, 8, 8, 8, 8, 8, 0, 0, 0, 5, 5, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 5, 5, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 3, 5, 5, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 7, 7, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 6109, 81, 2846, 1188, 34281, 203, 1070, 4377, 3378, 32, 1286, 1188, 6401, 30, 14533, 203, 1070, 4377, 3378, 32, 2116, 1188, 6259, 203, 1070, 4081, 1188, 2252, 536, 4360, 7262, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 4125, 81, 3550, 1188, 4070, 619, 4125, 81, 3550, 203, 823, 6374, 7262, 26, 34243, 32, 2413, 1176, 711, 284, 665, 622, 81, 4890, 26, 784, 30, 2364, 711, 291, 442, 630, 32, 1819, 32, 371, 463, 1855, 370, 4070, 32, 8472, 27, 203, 823, 29963, 7262, 26, 34243, 32, 2413, 1176, 711, 284, 665, 622, 81, 4890, 26, 784, 30, 2364, 711, 291, 442, 630, 32, 1819, 32, 371, 463, 6946, 370, 4070, 32, 8472, 27, 203, 823, 14533, 7262, 26, 34243, 32, 1243, 7262, 711, 284, 4081, 280, 2252, 536, 4360, 7262, 26, 11374, 47, 2700, 30, 1491, 81, 2585, 47, 1815, 27, 284, 443, 11985, 44, 291, 1542, 280, 14533, 291, 3829, 280, 2726, 12324, 370, 330, 3647, 370, 330, 2862, 1547, 370, 330, 2116, 683, 291, 1491, 81, 2585, 81, 4151, 280, 2726, 12324, 370, 330, 2862, 1547, 683, 284, 665, 1487, 26, 784, 30, 25776, 81, 605, 711, 291, 1326, 280, 630, 32, 1819, 32, 371, 463, 1357, 370, 1665, 27, 291, 617, 1526, 280, 630, 32, 1819, 32, 371, 463, 1526, 370, 1665, 27, 291, 617, 2116, 280, 6259, 32, 5740, 32, 371, 26, 496, 280, 1326, 32, 496, 27, 291, 5093, 280, 14533, 26, 2116, 280, 617, 2116, 30, 2364, 280, 617, 1526, 30, 1115, 28610, 81, 605, 27, 291, 5093, 32, 2853, 346, 291, 442, 5093, 203, 823, 6401, 7262, 26, 34243, 32, 1243, 7262, 711, 284, 4081, 280, 2252, 536, 4360, 7262, 26, 11374, 280, 3177, 30, 1491, 81, 2585, 280, 2933, 27, 284, 8446, 280, 14533, 7262, 26, 850, 81, 2585, 280, 2933, 30, 5075, 280, 2933, 27, 284, 12770, 280, 34281, 32, 720, 1176, 26, 3648, 47, 2700, 27, 284, 1914, 280, 6374, 7262, 26, 850, 81, 2585, 280, 2933, 27, 284, 7382, 280, 29963, 7262, 26, 850, 81, 2585, 280, 2933, 27, 284, 16709, 280, 34281, 32, 16357, 346, 284, 1778, 280, 34281, 32, 16357, 26, 3648, 47, 2700, 27, 284, 443, 11985, 44, 291, 1542, 280, 6401, 291, 3829, 280, 2726, 12324, 370, 330, 1311, 370, 330, 1855, 370, 330, 6946, 370, 330, 1286, 370, 330, 20278, 370, 766, 528, 330, 2862, 1547, 370, 330, 13488, 370, 330, 893, 370, 330, 2116, 370, 330, 8680, 370, 330, 6956, 683, 291, 1491, 81, 2585, 81, 4151, 280, 2726, 12324, 370, 330, 2862, 1547, 370, 330, 8680, 370, 330, 2116, 370, 330, 13488, 683, 284, 665, 372, 81, 15350, 26, 784, 30, 706, 711, 291, 706, 280, 2599, 26, 3160, 7262, 30, 630, 547, 452, 81, 15350, 26, 605, 27, 291, 706, 1365, 1286, 31, 681, 1446, 280, 706, 32, 3235, 463, 20278, 683, 291, 442, 706, 284, 665, 1487, 26, 784, 30, 25776, 81, 605, 711, 291, 1326, 280, 630, 32, 1819, 32, 371, 463, 1357, 370, 1665, 27, 291, 617, 2116, 280, 6259, 32, 5740, 32, 371, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 4, 3, 4, 1, 1, 1, 1, 0, 1, 1, 4, 3, 4, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 9, 7, 8, 9, 7, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 9, 7, 8, 9, 7, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 2, 2, 3, 3, 3, 3, 6, 6, 4, 4, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 9, 7, 9, 9, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 7, 9, 9, 9, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 10, 9, 9, 10, 11, 8, 4, 4, 6, 6, 8, 10, 9, 9, 10, 8, 8, 9, 9, 10, 8, 8, 10, 10, 10, 8, 4, 4, 7, 8, 7, 4, 4, 5, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 8, 7, 7, 6, 6, 8, 8, 7, 7, 6, 2, 2, 4, 4, 6, 6, 8, 8, 8, 7, 7, 6, 6, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 6, 8, 8, 8, 7, 7, 6, 2, 2, 4, 4, 6, 6, 8, 8, 8, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 3, 3, 3, 3, 6, 6, 4, 4, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 10, 11, 11, 10, 10, 10, 9, 9, 9, 8, 9, 8, 4, 4, 7, 9, 9, 9, 9, 6, 6, 8, 9, 8, 10, 10, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 0, 0, 5, 5, 3, 3, 2, 2, 0, 6, 6, 1, 2, 0, 1, 2, 2, 2, 6, 6, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 3, 2, 1, 0, 7, 7, 1, 2, 0, 1, 2, 2, 2, 7, 7, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 3, 2, 1, 0, 8, 8, 1, 2, 0, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 3, 3, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 1, 2, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 5, 0, 9, 9, 1, 2, 0, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 3, 3, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 7, 7, 7, 7, 0, 0, 3, 3, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 2, 4, 4, 9, 2, 1, 2, 2, 3, 3, 2, 9, 9, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1 ]
[ 1070, 8527, 32, 525, 1188, 17874, 30, 17874, 28654, 203, 1070, 8527, 32, 2387, 1188, 11522, 30, 4448, 1222, 203, 465, 17539, 203, 465, 10245, 203, 1070, 3493, 2219, 36, 32, 3378, 1188, 5612, 13690, 30, 551, 2106, 39753, 203, 1070, 8527, 32, 36287, 1188, 2908, 203, 1070, 8527, 32, 4338, 32, 28497, 32, 14250, 1188, 23049, 81, 327, 30816, 203, 50, 14250, 81, 327, 30816, 203, 589, 34330, 383, 26, 1357, 711, 284, 415, 313, 9377, 318, 32, 24589, 20, 863, 1326, 32, 3705, 1365, 1127, 5562, 1956, 31, 2122, 31, 6385, 18270, 291, 442, 17874, 28654, 463, 6385, 646, 5420, 683, 284, 786, 280, 5612, 13690, 32, 4635, 26, 1357, 32, 3705, 1365, 1127, 5562, 1956, 31, 1956, 31, 7241, 6890, 284, 415, 786, 438, 3177, 44, 291, 442, 17874, 28654, 463, 24611, 646, 2080, 683, 284, 813, 44, 291, 14037, 42686, 1998, 107, 280, 551, 2106, 39753, 32, 5740, 32, 371, 26, 1935, 47, 1357, 32, 3705, 1365, 7948, 31, 314, 6890, 291, 14037, 42686, 1998, 107, 32, 12119, 81, 7007, 541, 26, 853, 27, 291, 442, 17874, 26, 466, 26, 853, 490, 203, 589, 19967, 81, 944, 81, 8395, 26, 1357, 711, 284, 442, 2908, 26, 1357, 30, 330, 2400, 2219, 36, 33, 944, 81, 8395, 32, 916, 683, 203, 589, 19967, 81, 7468, 26, 1357, 711, 284, 442, 2908, 26, 1357, 30, 330, 2400, 2219, 36, 33, 7468, 32, 916, 683, 203, 589, 19967, 81, 1055, 26, 1357, 711, 284, 442, 2908, 26, 1357, 30, 330, 2400, 2219, 36, 33, 1055, 32, 916, 683, 203, 589, 1930, 81, 890, 81, 1956, 26, 4415, 711, 284, 45426, 280, 5612, 13690, 26, 7241, 47, 20634, 32, 371, 7792, 1026, 7661, 47, 4415, 27, 284, 45426, 32, 2853, 346, 284, 442, 45426, 203, 589, 19967, 81, 8395, 26, 1357, 711, 284, 10245, 32, 371, 1819, 922, 4677, 280, 225, 36, 284, 7661, 81, 462, 81, 1956, 280, 10245, 32, 7697, 26, 34, 32, 34, 35, 27, 284, 7661, 81, 22559, 280, 10245, 32, 7697, 26, 1357, 32, 3705, 1365, 2171, 81, 1028, 81, 8395, 6890, 284, 1451, 81, 1028, 81, 8395, 280, 629, 26, 4415, 81, 22559, 33, 4415, 81, 462, 81, 1956, 27, 284, 2404, 81, 1260, 280, 428, 2682, 81, 890, 81, 1956, 26, 34, 32, 34, 35, 547, 371, 81, 2024, 81, 1338, 81, 2665, 346, 436, 595, 328, 2155, 26, 2171, 81, 1028, 81, 8395, 27, 1481, 284, 3079, 280, 11522, 32, 371, 81, 2387, 463, 2400, 2219, 36, 33, 8395, 32, 916, 683, 284, 1619, 280, 4448, 1222, 26, 1357, 25713, 291, 313, 1956, 81, 1260, 20, 499, 2404, 81, 1260, 30, 291, 1790, 284, 442, 17874, 26, 2387, 32, 3169, 26, 1819, 490, 203, 589, 19967, 81, 858, 1637, 26, 1357, 711, 284, 3079, 280, 11522, 32, 371, 81, 2387, 463, 2400, 2219, 36, 33, 858, 32, 916, 683, 284, 1188, 22045, 30, 22045, 36, 284, 2404, 81, 1327, 280, 3177, 284, 415, 313, 1127, 5562, 1956, 31, 2122, 31, 6385, 20, 328, 1326, 32, 2788, 44, 291, 1984, 280, 330, 525, 555, 9441 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 2, 3, 3, 3, 3, 1, 2, 2, 3, 3, 4, 3, 2, 2, 4, 7, 7, 7, 7, 7, 5, 5, 7, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 8, 8, 10, 10, 10, 10, 3, 3, 5, 5, 8, 7, 8, 7, 10, 9, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 4, 4, 4, 6, 8, 8, 10, 10, 10, 10, 4, 4, 5, 5, 5, 9, 9, 9, 8, 8, 12, 12, 11, 12, 10, 11, 10, 12, 11, 14, 13, 14, 12, 14, 14, 14, 14, 6, 6, 10, 10, 10, 9, 10, 10, 10, 10, 9, 10, 9, 6, 6, 7, 9, 11, 11, 12, 11, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 8, 7, 10, 9, 10, 10, 9, 6, 7, 8, 6, 2, 2, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 7, 8, 8, 7, 6, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 9, 8, 9, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 9, 8, 8, 8, 8, 8, 8, 8, 7, 5, 6, 6, 6, 8, 9, 9, 9, 9, 9, 8, 5, 2, 2, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 6, 7, 6, 7, 7, 10, 10, 10, 10, 8, 8, 9, 9, 7, 7, 7, 2, 2, 3, 5, 8, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 3, 5, 2, 2, 5, 5, 4, 4, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 3, 3, 3, 6, 6, 8, 8, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 7, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 4, 4, 2, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 2, 2, 1, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 4, 4, 7, 1, 0, 0, 2, 1, 1, 1, 0, 13, 13, 1, 1, 1, 2, 1, 2, 13, 13, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 4, 4, 0, 0, 0, 0, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 0, 0, 1, 1, 1 ]
[ 465, 18198, 81, 16842, 81, 1174, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 24021, 2893, 280, 1524, 203, 1559, 203, 2116, 44, 313, 47841, 624, 1075, 483, 11931, 22288, 105, 1075, 483, 4731, 225, 203, 1647, 44, 10869, 203, 4021, 81, 2310, 44, 8571, 600, 4096, 203, 2310, 44, 334, 429, 1348, 2297, 438, 6364, 436, 11926, 26914, 645, 4654, 12254, 32, 334, 429, 8513, 1631, 16741, 6916, 46953, 11926, 26914, 49, 225, 701, 8640, 20304, 284, 2017, 884, 645, 1133, 372, 1133, 13185, 688, 4881, 526, 24305, 30, 3154, 284, 3301, 844, 21671, 322, 27756, 372, 1930, 561, 1259, 30, 556, 3301, 646, 19300, 284, 4274, 307, 372, 312, 4942, 10078, 32, 334, 429, 1670, 844, 4881, 46953, 312, 2818, 3111, 30, 1273, 322, 3111, 438, 2979, 31, 22821, 30, 284, 11926, 963, 600, 4096, 372, 322, 18392, 15270, 372, 1930, 10320, 4436, 6697, 284, 1742, 432, 322, 323, 626, 504, 438, 600, 40349, 692, 3352, 372, 4162, 322, 31413, 328, 284, 12753, 813, 1182, 19297, 32, 334, 429, 16035, 8419, 11926, 963, 312, 10869, 883, 526, 15588, 1247, 6364, 619, 312, 3352, 372, 11748, 284, 1591, 556, 1829, 7024, 328, 312, 6498, 688, 312, 2818, 2125, 1401, 2583, 284, 308, 43357, 27, 11508, 32, 203, 1648, 81, 11043, 44, 313, 34, 32, 42, 20, 203, 2184, 44, 334, 645, 44, 284, 3048, 44, 397, 429, 886, 4096, 31, 2468, 322, 10869, 438, 4618, 645, 32, 10709, 4799, 2965, 461, 23909, 32, 284, 1244, 44, 3051, 284, 2129, 44, 901, 334, 372, 44, 284, 3048, 44, 397, 429, 886, 4096, 31, 2468, 26, 307, 27, 322, 10869, 438, 3998, 4618, 372, 32, 1348, 438, 291, 312, 18231, 31, 26398, 1149, 30, 1510, 1631, 4799, 2965, 461, 23909, 13752, 32, 284, 1244, 44, 3051, 284, 2129, 44, 901, 334, 10639, 44, 284, 3048, 44, 397, 429, 886, 4096, 31, 2468, 26, 307, 27, 322, 10869, 438, 3998, 14668, 372, 32, 1348, 438, 291, 312, 18231, 31, 26398, 1149, 30, 1510, 1631, 4799, 2965, 461, 23909, 13752, 32, 284, 2129, 44, 901, 334, 323, 1152, 44, 284, 3048, 44, 397, 429, 886, 4096, 31, 2468, 26, 307, 27, 322, 10869, 438, 3998, 330, 1551, 552, 25, 14668, 372, 32, 1348, 438, 291, 312, 18231, 31, 26398, 1149, 30, 1510, 1631, 4799, 2965, 461, 23909, 13752, 32, 284, 2129, 44, 901, 334, 5383, 44, 284, 3048, 44, 397, 429, 886, 5383, 432, 322, 4096, 3998, 4618, 32, 284, 2129, 44, 861, 334, 3361, 44, 284, 3048, 44, 397, 429, 886, 3361, 432, 322, 4096, 3998, 4618, 32, 284, 1244, 44, 398, 6250, 284, 2129, 44, 901, 334, 952, 44, 284, 3048, 44, 397, 429, 1670, 39229, 7171, 952, 284, 1244, 44, 744, 284, 2129, 44, 901, 284, 1503, 81, 11043, 44, 313, 35, 32, 43, 20, 334, 3882, 44, 284, 3048, 44, 397, 429, 1670, 39229, 7171, 3882, 284, 1244, 44, 744, 284, 2129, 44, 901, 284, 1503, 81, 11043, 44, 313, 35, 32, 43, 20, 334, 3408, 44, 284, 3048, 44, 397, 429, 886, 10869, 2145, 284, 1244, 44, 330, 5007, 25, 284, 2129, 44, 901, 334, 2601, 44, 284, 3048, 44, 397, 429, 886, 10869 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9592, 203, 1281, 17011, 203, 18394, 105, 2782, 461, 3432, 2532, 203, 1281, 17011, 203, 25829, 372, 3432, 19404, 461, 15379, 23692, 203, 2533, 18434, 203, 1318, 4102, 16771, 572, 438, 600, 1300, 688, 2355, 312, 4262, 1417, 2568, 372, 706, 203, 266, 4117, 32, 203, 1011, 12270, 11183, 688, 322, 4117, 688, 844, 2637, 372, 2202, 623, 600, 1417, 438, 203, 1206, 432, 322, 2432, 3432, 19404, 619, 322, 10670, 544, 1510, 844, 884, 3974, 203, 8312, 32, 203, 1562, 2280, 30, 439, 4796, 526, 4740, 544, 312, 10670, 623, 312, 9570, 31, 29393, 10218, 429, 203, 21886, 619, 600, 16766, 447, 304, 3876, 30, 1273, 439, 1159, 3892, 1629, 706, 645, 312, 803, 203, 15557, 810, 312, 10670, 688, 438, 6524, 31, 29393, 32, 225, 10251, 1182, 7617, 439, 1159, 3892, 225, 38, 203, 3651, 645, 312, 803, 6638, 810, 312, 21417, 308, 7380, 31, 29393, 27, 10670, 32, 225, 439, 3702, 688, 203, 37711, 225, 38, 3519, 4042, 3134, 225, 35, 40, 31, 2400, 18670, 32, 225, 2704, 312, 6524, 31, 29393, 6652, 30, 312, 203, 8268, 31, 2263, 4991, 438, 7107, 623, 322, 19525, 7431, 12548, 8043, 308, 39967, 27, 1932, 30, 203, 363, 1615, 322, 4665, 633, 7431, 12548, 8043, 308, 37745, 547, 23156, 322, 3519, 884, 30, 328, 4117, 2532, 44, 203, 27036, 488, 6128, 4991, 225, 35, 203, 27036, 498, 6128, 4991, 225, 35, 203, 27036, 488, 6128, 4991, 225, 36, 203, 27036, 498, 6128, 4991, 225, 36, 203, 9809, 1182, 7617, 322, 3134, 18670, 4528, 328, 8434, 225, 35, 461, 225, 41, 41, 34, 32, 225, 18369, 225, 41, 41, 34, 280, 225, 36, 39, 40, 319, 203, 37, 474, 225, 36, 30, 322, 225, 38, 3519, 328, 4117, 2268, 4799, 22781, 44, 225, 34, 30, 225, 35, 30, 225, 37, 30, 225, 36, 32, 203, 1318, 3519, 439, 1159, 3892, 645, 322, 803, 2268, 1159, 3282, 7299, 44, 203, 11967, 6524, 81, 416, 81, 466, 280, 21749, 26, 34, 27, 474, 21749, 26, 35, 27, 474, 21749, 26, 37, 27, 474, 21749, 26, 36, 27, 203, 11967, 6524, 81, 416, 81, 466, 203, 25, 1736, 106, 34, 34, 1736, 106, 34, 35, 1736, 106, 34, 37, 1736, 106, 34, 36, 25, 203, 3122, 4796, 2637, 372, 793, 600, 4102, 16771, 572, 372, 2857, 3282, 18670, 32, 225, 701, 688, 203, 1732, 30, 996, 883, 1487, 600, 1417, 6835, 458, 4117, 30, 461, 8883, 6436, 688, 203, 13636, 884, 3134, 18670, 30, 461, 688, 2953, 884, 225, 35, 40, 3493, 461, 6524, 31, 29393, 44, 203, 11967, 1188, 6436, 619, 2065, 203, 11967, 6524, 81, 416, 81, 846, 280, 2065, 32, 16771, 26, 3229, 4310, 36, 28020, 12010, 1057, 48, 91, 36, 370, 3112, 47, 7380, 81, 416, 81, 466, 27, 203, 11967, 6524, 81, 416, 81, 846, 77, 34, 79, 203, 35, 203, 11967, 6524, 81, 416, 81, 846, 77, 35, 79, 203, 41, 41, 34, 203, 5217, 322, 1417, 4102, 12010, 572, 3684, 432, 4102, 48, 91, 36, 16688, 225, 886, 4102, 48, 572, 6058, 330, 7380, 31, 29393, 25, 203, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 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 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 15390, 81, 30839, 203, 1070, 18792, 1188, 1344, 81, 681, 203, 465, 45977, 203, 465, 316, 203, 1070, 638, 9777, 1188, 21008, 30, 5122, 22444, 30, 32431, 45227, 30, 32431, 9878, 1732, 203, 1070, 638, 9777, 1188, 931, 31662, 30, 902, 2208, 984, 203, 1070, 638, 1188, 8745, 203, 1070, 3363, 1188, 44524, 203, 1270, 44, 284, 645, 3363, 1188, 18394, 2338, 203, 7343, 29986, 44, 284, 18394, 2338, 280, 44524, 203, 1270, 44, 284, 645, 3363, 1188, 16910, 2338, 1761, 203, 7343, 29986, 44, 284, 443, 16910, 2338, 1761, 26, 1473, 711, 291, 3097, 203, 1166, 22444, 3644, 280, 20073, 470, 2009, 1094, 32, 4434, 440, 14510, 657, 436, 1623, 328, 5122, 22444, 1130, 203, 14510, 45227, 3644, 280, 20073, 470, 2009, 1094, 32, 4434, 440, 14510, 657, 436, 1623, 328, 32431, 45227, 1130, 203, 14510, 9878, 1732, 3644, 280, 20073, 470, 2009, 1094, 32, 4434, 440, 14510, 657, 436, 1623, 328, 32431, 9878, 1732, 1130, 203, 8732, 8024, 4349, 20379, 280, 5122, 22444, 3644, 523, 20073, 470, 2009, 84, 413, 392, 323, 13950, 6890, 203, 5790, 81, 9941, 81, 268, 280, 316, 32, 6993, 9670, 78, 103, 34, 34, 34, 35, 15641, 103, 34, 34, 34, 42, 78, 103, 34, 34, 34, 52, 78, 103, 34, 34, 34, 55, 15641, 103, 34, 34, 35, 56, 78, 103, 34, 34, 41, 56, 15641, 103, 34, 34, 43, 56, 78, 44082, 42, 34, 34, 15641, 44082, 11375, 78, 37561, 2918, 34, 15641, 37561, 4416, 78, 42297, 4666, 78, 103, 4139, 78, 71, 34, 34, 34, 35, 1139, 4666, 78, 71, 34, 34, 34, 35, 4139, 78, 71, 34, 34, 34, 36, 1139, 4666, 78, 71, 34, 34, 34, 36, 4139, 78, 71, 34, 34, 34, 37, 1139, 4666, 78, 71, 34, 34, 34, 37, 4139, 78, 71, 34, 34, 34, 38, 1139, 4666, 78, 71, 34, 34, 34, 38, 4139, 78, 71, 34, 34, 34, 39, 1139, 4666, 78, 71, 34, 34, 34, 39, 4139, 78, 71, 34, 34, 34, 40, 1139, 4666, 78, 71, 34, 34, 34, 40, 4139, 78, 71, 34, 34, 34, 41, 1139, 4666, 78, 71, 34, 34, 34, 41, 4139, 78, 71, 34, 34, 34, 42, 1139, 4666, 78, 71, 34, 34, 34, 42, 4139, 78, 71, 34, 34, 34, 43, 1139, 4666, 78, 71, 34, 34, 34, 43, 4139, 78, 71, 34, 34, 34, 35289, 4666, 78, 71, 34, 34, 34, 51, 4139, 78, 71, 34, 34, 34, 52, 1139, 4666, 78, 71, 34, 34, 34, 52, 4139, 78, 71, 34, 34, 34, 53, 1139, 4666, 78, 71, 34, 34, 34, 53, 4139, 78, 71, 34, 34, 34, 54, 1139, 4666, 78, 71, 34, 34, 34, 54, 4139, 78, 71, 34, 34, 34, 22744, 4666, 78, 71, 34, 34, 34, 55, 4139, 78, 71, 34, 34, 34, 4139, 55, 78, 71, 34, 34, 34, 4139, 56, 78, 71, 34, 34, 35, 34, 1139, 4666, 78, 71, 34, 34, 35, 34, 4139, 25790, 203, 3780, 81, 25108, 81, 5790, 81, 687, 3953, 280, 739, 2009, 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, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 1, 1, 3, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 4, 5, 5, 5, 6, 5, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 8, 7, 8, 7, 9, 9, 5, 6, 6, 6, 7, 5, 0, 3, 3, 3, 2, 2, 4, 4, 8, 7, 8, 7, 9, 9, 5, 6, 6, 6, 7, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 8, 7, 8, 7, 9, 9, 5, 6, 6, 6, 7, 7, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 3, 3, 5, 5, 8, 8, 8, 6, 8, 8, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 3, 3, 3, 3, 3, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 3, 3, 3, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 1, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 1, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 1, 8, 8, 9, 9, 9, 9, 1, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 39, 40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 43, 43, 44, 44, 44, 44, 44, 44, 44, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
[ 465, 5237, 203, 465, 2322, 203, 465, 7060, 203, 465, 6234, 203, 465, 5741, 203, 1270, 44, 284, 1188, 1359, 3922, 203, 7343, 29986, 44, 284, 1188, 3383, 2825, 619, 1359, 3922, 203, 465, 273, 38200, 32, 1840, 203, 465, 273, 38200, 32, 716, 5837, 203, 465, 617, 203, 1070, 638, 1188, 15098, 203, 716, 5837, 280, 273, 38200, 32, 716, 5837, 32, 59, 1752, 41540, 32, 2386, 346, 203, 823, 6687, 26, 102, 38200, 32, 1840, 32, 2727, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4169, 1057, 1786, 7831, 291, 7060, 32, 7295, 26, 7295, 32, 14840, 1844, 30, 225, 630, 32, 10760, 1972, 27, 291, 7060, 32, 7295, 26, 7295, 32, 14840, 19794, 30, 630, 32, 10760, 1972, 27, 291, 630, 32, 19681, 101, 280, 739, 346, 291, 1596, 44, 324, 630, 32, 3225, 280, 9722, 3550, 32, 1132, 32, 2468, 556, 9722, 3550, 32, 1163, 32, 371, 26, 1906, 30, 330, 2468, 683, 291, 2940, 3268, 44, 324, 5741, 32, 2811, 463, 2023, 2965, 3191, 683, 324, 630, 32, 3225, 280, 330, 35, 36, 41, 32, 34, 32, 34, 32, 35, 25, 291, 1596, 44, 324, 630, 32, 625, 280, 9722, 3550, 32, 1132, 32, 625, 556, 9722, 3550, 32, 1163, 32, 371, 410, 26, 1906, 30, 330, 625, 683, 291, 2940, 3268, 44, 324, 5741, 32, 2811, 463, 2023, 2601, 3191, 683, 324, 630, 32, 625, 280, 225, 42, 42, 42, 42, 291, 11078, 81, 983, 280, 9722, 8478, 463, 6698, 370, 330, 9534, 32, 7241, 683, 291, 1596, 44, 324, 623, 2156, 26, 9534, 81, 983, 30, 330, 4506, 683, 619, 11828, 44, 400, 11078, 81, 7241, 280, 11828, 32, 850, 26, 38, 38, 27, 291, 2940, 45338, 44, 324, 11078, 81, 7241, 280, 9722, 1840, 32, 1040, 32, 5536, 10755, 7792, 26, 9534, 81, 983, 27, 291, 415, 646, 19326, 26, 784, 30, 330, 6482, 81, 2184, 7831, 324, 630, 32, 6482, 81, 2184, 280, 1665, 291, 415, 646, 19326, 26, 784, 30, 330, 15719, 7831, 324, 630, 32, 15719, 280, 1605, 291, 630, 32, 3550, 280, 5436, 26, 324, 907, 81, 983, 261, 280, 9722, 8478, 463, 6074, 370, 330, 1574, 1425, 324, 3079, 81, 983, 280, 9722, 8478, 463, 6074, 370, 330, 8881, 1425, 324, 11078, 81, 7241, 280, 11078, 81, 7241, 30, 324, 4588, 263, 280, 3177, 291, 829, 291, 415, 9722, 3550, 32, 1132, 32, 2811, 44, 324, 630, 32, 3550, 710, 2811, 785, 280, 2933, 324, 630, 32, 15719, 32, 1689, 26, 400, 308, 540, 18010, 1617, 13824, 3424, 7243, 9722, 1840, 32, 14458, 32, 2028, 2588, 400, 829, 291, 415, 330, 2393, 25, 328, 9722, 3527, 32, 5378, 44, 324, 2577, 280, 1665, 324, 436, 636, 328, 9722, 3527, 32, 5378, 710, 2393, 12132, 400, 2577, 280, 9722, 3527, 32, 5378, 710, 2393, 8150, 426, 79, 400, 630, 32, 15719, 32, 8233, 43270, 2292, 32, 2413, 30, 2577, 14829, 324, 415, 2577, 438, 646, 1665, 44, 400, 630, 32, 15719, 32, 8233, 43270, 540, 18010, 12646, 370, 9722, 1840, 32, 2393, 32, 21628, 829, 1130, 400, 5741, 32, 2811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 4, 7, 5, 5, 6, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 2, 2, 7, 6, 7, 7, 5, 6, 6, 6, 4, 5, 4, 0, 1, 1, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 3, 3, 7, 8, 7, 9, 8, 9, 9, 7, 7, 7, 8, 9, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 9, 7, 4, 4, 7, 8, 8, 6, 6, 8, 4, 4, 5, 5, 5, 9, 10, 8, 8, 13, 11, 12, 10, 11, 9, 9, 14, 12, 13, 11, 12, 11, 12, 11, 11, 13, 13, 5, 5, 6, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 7, 7, 10, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 5, 5, 9, 10, 8, 8, 13, 11, 12, 10, 11, 9, 9, 14, 12, 13, 11, 12, 12, 11, 12, 11, 11, 13, 13, 5, 5, 6, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 7, 7, 10, 11, 9, 9, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 9, 8, 10, 10, 8, 10, 10, 10, 10, 4, 4, 5, 5, 5, 7, 12, 13, 13, 13, 12, 12, 14, 14, 10, 10, 7, 7, 7, 11, 11, 10, 10, 12, 13, 12, 13, 13, 12, 5, 5, 6, 6, 6, 6, 10, 10, 9, 9, 14, 12, 13, 11, 12, 12, 12, 11, 12, 12, 12, 11, 4, 4, 5, 6, 8, 9, 8, 8, 10, 10, 10, 10, 5, 5, 9, 10, 10, 10, 8, 8, 4, 4, 5, 6, 8, 9, 8, 8, 10, 10, 5, 5, 9, 10, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 10, 10, 9, 9, 9, 12, 11, 13, 13, 11, 13, 13, 8, 8, 10, 10, 9, 9, 12, 11, 13, 13, 11, 13, 13, 8, 8, 10, 10, 9, 9, 10, 10, 8, 8, 8, 9, 9, 9, 8, 8, 4, 4, 5, 9, 7, 8, 6, 7, 5, 5, 5, 10, 11, 9, 11, 11, 8, 8, 6, 6, 10, 11, 9, 10, 9, 9, 9, 10, 12, 12, 12, 12, 12, 10, 14, 12, 13, 11, 12, 10, 9, 9, 4, 4, 5, 8, 8, 6, 6, 9, 7, 8, 5, 5, 5, 8, 8, 6, 6, 7, 7, 7, 11, 9, 10, 8, 10, 10, 7, 7, 10, 10, 15, 13, 14, 12, 14, 14, 12, 11, 8, 8, 12, 13, 11, 12, 11, 15, 14, 15, 13, 13, 13, 6, 6, 7, 8, 8, 8, 7, 7, 7, 12, 13, 11, 12, 11, 13, 15, 15, 15, 13, 17, 15, 16, 14, 15, 13, 12, 8, 8, 11, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 5, 3, 3, 3, 3, 3, 0, 0, 1, 1, 2, 0, 6, 6, 0, 1, 2, 0, 7, 7, 0, 1, 2, 2, 0, 8, 8, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 11, 11, 2, 0, 0, 0, 2, 1, 2, 2, 11, 11, 0, 1, 1, 1, 2, 2, 3, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 3, 3, 3, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 6, 6, 3, 3, 3, 3, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 2, 2, 2, 0, 0, 4, 4, 8, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 3, 3, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 5, 5, 2, 2, 1, 1, 1, 7, 7, 7, 1, 1, 4, 4, 10, 2, 0, 2, 1, 2, 10, 10, 10, 0, 2, 0, 1, 2, 0, 0, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 3, 2, 1, 1, 1, 4, 4, 11, 1, 2, 1, 1, 2, 2, 2, 11, 11, 11, 0, 0, 3, 3, 1, 1, 1, 2, 0, 2, 3, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 5, 5, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 3, 2, 1, 1, 3, 3, 0, 2 ]
[ 465, 323, 46975, 203, 465, 7138, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 22045, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 2322, 315, 81, 751, 1188, 1503, 2304, 203, 1070, 2322, 315, 81, 2304, 1188, 803, 2304, 203, 465, 11014, 203, 465, 18792, 203, 465, 996, 23239, 203, 1070, 34856, 32, 91, 35, 42, 96, 1188, 617, 27812, 203, 1070, 34856, 1188, 7842, 203, 1070, 34856, 1188, 8745, 203, 1070, 34856, 1188, 341, 25673, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 101, 37, 81, 6363, 280, 428, 284, 8444, 32, 2007, 5482, 463, 24616, 81, 983, 370, 3083, 1244, 47, 8478, 32, 1293, 81, 983, 81, 589, 463, 24616, 1425, 3083, 3049, 1057, 1215, 372, 358, 37, 24840, 1425, 284, 8444, 32, 2007, 5482, 463, 101, 37, 81, 12220, 370, 3083, 1244, 347, 34, 32, 34, 32, 34, 32, 34, 392, 3083, 3049, 1057, 2027, 2965, 436, 358, 37, 2330, 372, 14884, 1425, 284, 8444, 32, 1428, 5482, 463, 101, 37, 81, 12220, 81, 625, 370, 3083, 1244, 47, 37, 37, 37, 37, 30, 3083, 1847, 47, 35, 30, 3083, 1769, 47, 40, 39, 39, 37, 39, 30, 3083, 3049, 1057, 3437, 436, 358, 37, 2330, 372, 14884, 1425, 203, 79, 203, 14594, 280, 8444, 32, 14594, 203, 14594, 32, 3317, 81, 6363, 26, 101, 37, 81, 6363, 27, 203, 589, 622, 81, 46674, 81, 1786, 2262, 284, 442, 341, 25673, 32, 2059, 440, 69, 37, 2194, 2157, 392, 5556, 358, 37, 2727, 26, 14594, 32, 24616, 81, 983, 471, 5556, 2601, 47, 14594, 32, 101, 37, 81, 12220, 81, 625, 30, 5556, 3408, 47, 14594, 32, 101, 37, 81, 12220, 27, 203, 823, 358, 37, 2727, 26, 46674, 32, 7043, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3051, 81, 5660, 30, 8105, 81, 6299, 47, 34, 30, 15065, 47, 2521, 711, 291, 1503, 2304, 32, 3734, 81, 15040, 81, 3274, 26, 324, 5776, 30, 324, 617, 27812, 463, 1318, 328, 4345, 13486, 36, 2330, 438, 12687, 619, 432, 1224, 14062, 3621, 461, 1631, 330, 400, 330, 864, 6556, 328, 312, 7062, 3621, 32, 886, 4138, 9497, 11040, 36, 31, 1237, 330, 400, 330, 2250, 1913, 555, 2912, 32, 26878, 32, 1088, 33, 85, 2912, 33, 3034, 9497, 33, 735, 36, 31, 1237, 33, 330, 400, 330, 297, 322, 1760, 15909, 436, 458, 8904, 11834, 291, 829, 291, 415, 15065, 438, 1665, 44, 324, 15065, 280, 11014, 32, 5631, 346, 291, 15065, 32, 3517, 19468, 400, 5932, 47, 5962, 319, 83, 30, 1115, 4124, 44, 14741, 1972, 26, 784, 2502, 28, 83, 30, 1115, 4124, 490, 291, 15065, 32, 3517, 3247, 109, 6452, 15117, 1473, 81, 426, 10047, 400, 5932, 47, 5962, 319, 83, 30, 1115, 4124, 44, 2194, 1972, 26, 784, 2502, 28, 83, 30, 1115, 4124, 490, 291, 15065, 32, 3517, 3247, 109, 6452, 81, 426, 3188, 370, 400, 5932, 47, 5962, 319, 83, 30, 1115, 4124, 44, 27062, 1972, 26, 784, 2502, 28, 83, 30, 1115, 4124, 490, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 5, 5, 6, 9, 8, 9, 9, 9, 9, 9, 8, 10, 10, 5, 5, 6, 8, 8, 8, 8, 8, 8, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 7, 7, 7, 7, 5, 5, 5, 6, 7, 5, 5, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 0, 3, 2, 2, 3, 4, 0, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 6, 5, 6, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 9, 8, 9, 9, 9, 7, 5, 5, 6, 8, 7, 8, 8, 8, 8, 8, 8, 5, 5, 5, 6, 8, 7, 8, 8, 8, 8, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 7, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 4, 4, 7, 8, 7, 7, 7, 8, 9, 9, 12, 10, 10, 12, 9, 9, 12, 12, 13, 12, 12, 13, 11, 11, 13, 11, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 12, 10, 10, 12, 9, 9, 12, 12, 13, 12, 12, 13, 11, 11, 13, 11, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 12, 10, 10, 12, 9, 9, 12, 12, 13, 12, 12, 13, 11, 11, 13, 11, 4 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 0, 4, 4, 0, 5, 5, 0, 0, 0, 5, 5, 0, 6, 6, 0, 0, 0, 6, 6, 3, 3, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 0, 12, 12, 1, 2, 2, 2, 2, 12, 12, 0, 0, 13, 13, 13, 13, 0, 14, 14, 14, 14, 0, 15, 15, 15, 15, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 2, 2, 2, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 20, 20, 1, 1, 1, 1, 2, 20, 20, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 5, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 0, 2, 2, 2, 2, 2, 1, 0, 21, 21, 1, 1, 2, 0, 1, 2, 2, 21, 21, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4 ]
[ 505, 2116, 505, 280, 330, 24867, 358, 5755, 338, 30, 20168, 50, 3631, 905, 32, 380, 25, 203, 1070, 3995, 1188, 11655, 203, 1070, 18414, 1188, 22483, 203, 1070, 638, 4148, 520, 1823, 3626, 1188, 16510, 3505, 3771, 203, 823, 30254, 3771, 26, 8617, 3505, 3771, 711, 284, 45528, 280, 225, 35, 284, 8741, 2345, 280, 429, 35, 284, 29420, 280, 225, 34, 284, 1477, 1489, 280, 45528, 284, 665, 1156, 1664, 3207, 784, 30, 1334, 30, 7322, 295, 805, 6565, 47, 1815, 711, 291, 630, 32, 891, 280, 1334, 291, 630, 32, 11192, 295, 805, 6565, 280, 7322, 295, 805, 6565, 291, 630, 32, 4534, 346, 284, 665, 617, 1731, 2996, 26, 784, 711, 291, 436, 595, 328, 2155, 26, 784, 32, 891, 711, 324, 436, 594, 328, 2155, 26, 784, 32, 891, 711, 400, 6761, 308, 91, 30, 594, 27, 284, 665, 5657, 26, 784, 711, 291, 16510, 3505, 3771, 32, 4534, 26, 784, 27, 291, 630, 32, 21332, 9107, 280, 225, 34, 291, 630, 32, 84, 280, 2149, 291, 436, 298, 328, 630, 1114, 1731, 2996, 2262, 324, 630, 32, 84, 77, 98, 79, 280, 630, 32, 13073, 291, 630, 32, 6332, 280, 2149, 291, 630, 32, 1356, 581, 732, 280, 2149, 284, 477, 2433, 284, 665, 328, 3534, 26, 784, 711, 291, 442, 630, 32, 891, 1115, 225, 36, 284, 477, 2433, 284, 665, 963, 3534, 26, 784, 711, 291, 442, 225, 36, 319, 630, 32, 891, 1115, 225, 36, 284, 665, 622, 8433, 1261, 26, 784, 711, 291, 312, 280, 22483, 26, 784, 32, 541, 3534, 27, 291, 436, 595, 30, 298, 328, 10703, 26, 784, 1114, 1731, 2996, 22805, 324, 415, 630, 32, 84, 77, 98, 79, 610, 630, 32, 21287, 44, 400, 312, 77, 36, 319, 595, 79, 280, 225, 35, 324, 4348, 630, 32, 84, 77, 98, 79, 610, 630, 32, 22770, 44, 400, 312, 77, 36, 319, 595, 474, 225, 35, 79, 280, 225, 35, 291, 442, 312, 284, 665, 438, 30053, 26, 784, 30, 281, 30, 3400, 711, 291, 415, 3400, 646, 328, 630, 32, 84, 44, 324, 442, 3177, 291, 4348, 630, 32, 84, 77, 966, 79, 863, 630, 32, 13073, 44, 324, 442, 3177, 291, 4348, 646, 630, 32, 11192, 295, 805, 6565, 44, 324, 442, 646, 630, 1114, 11192, 295, 805, 26, 85, 30, 3400, 27, 291, 442, 2933, 284, 665, 745, 5775, 26, 784, 30, 281, 30, 3400, 711, 291, 630, 32, 21332, 9107, 1454, 225, 35, 291, 415, 3400, 610, 330, 575, 627, 950, 324, 630, 32, 33566, 280, 429, 85, 324, 442, 2933, 291, 4348, 646, 630, 32, 297, 30053, 26, 85, 30, 3400, 711, 324, 442, 3177, 291, 4348, 630, 1114, 11192, 295, 805, 26, 85, 30, 3400, 711, 324, 1201, 630, 32, 11192, 295, 805, 6565, 324, 630, 32, 84, 77, 966, 79, 280, 330, 107, 25, 324, 630, 32, 33566, 280, 429, 85, 324, 442, 2933, 291, 4348, 630, 1114, 14117, 26, 85, 30, 3400, 711, 324, 630, 32, 33566, 280, 281, 324, 630, 32, 84, 77, 966, 79, 280, 330, 106, 25 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 5, 2, 2, 5, 4, 4, 6, 2, 2, 4, 4, 5, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 9, 8, 9, 7, 5, 5, 7, 7, 7, 9, 11, 10, 11, 9, 7, 7, 10, 12, 11, 11, 11, 2, 2, 3, 4, 5, 4, 3, 3, 8, 8, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 5, 5, 5, 7, 8, 8, 7, 5, 5, 10, 11, 9, 10, 9, 8, 8, 9, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 7, 8, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 8, 7, 7, 9, 10, 8, 8, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 10, 8, 4, 4, 5, 6, 6, 5, 5, 7, 10, 9, 10, 10, 9, 5, 5, 7, 10, 11, 9, 10, 9, 8, 8, 9, 10, 7, 7, 7, 11, 13, 12, 12, 11, 10, 10, 11, 7, 7, 8, 11, 12, 10, 11, 10, 9, 9, 10, 11, 8, 8, 8, 12, 15, 14, 14, 13, 13, 14, 12, 11, 11, 12, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 8, 5, 5, 5, 7, 5, 5, 6, 9, 10, 8, 9, 8, 7, 7, 8, 9, 6, 6, 6, 8, 5, 5, 6, 7, 8, 9, 9, 9, 9, 6, 6, 6, 8, 9, 11, 12, 12, 12, 11, 12, 11, 11, 11, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 5, 6, 6, 8, 8, 8, 5, 5, 9, 10, 8, 8, 10, 6, 6, 7, 5, 5, 6, 7, 9, 10, 10, 9, 10, 9, 9, 9, 6, 6, 8, 5, 5, 6, 8, 9, 9, 9, 8, 9, 8, 8, 8, 6, 6, 8, 9, 10, 10, 10, 10, 7, 7, 11, 12, 10, 11, 10, 9, 9, 11, 11, 7, 7, 10, 11, 9, 9, 11, 7, 7, 8, 5, 5, 6, 8, 9, 8, 9, 8, 8, 8, 6, 6, 10, 11, 9, 9, 7, 7, 11, 12, 10, 11, 10, 9, 9, 11, 11 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 4, 4, 4, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 5, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 4, 4, 6, 2, 1, 2, 6, 6, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 3, 3, 3, 0, 2, 2, 1, 3, 3, 0, 2, 0, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 7, 7, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 4, 4, 1, 8, 8, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 4, 0, 2, 0, 2, 0, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 4, 4, 2, 4, 4, 10, 1, 2, 1, 2, 2, 2, 2, 2, 10, 10, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 2, 0, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 5, 1, 1, 2, 2, 2, 2, 5, 5, 5, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 11, 1, 2, 1, 2, 2, 2, 2, 2, 11, 11, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 3, 3, 1, 1, 1, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 1, 2, 2, 2, 2, 3, 3, 0, 2, 0, 2, 0, 0, 0, 1, 2, 3, 3, 0, 2, 0, 0, 1, 3, 3, 3, 1, 1, 6, 0, 2, 1, 1, 1, 1, 1, 6, 6, 0, 2, 0, 0, 3, 3, 0, 2, 0, 2, 0, 0, 0, 1, 2 ]
[ 465, 2322, 203, 465, 3995, 203, 465, 29590, 203, 325, 2322, 32, 426, 863, 330, 566, 950, 284, 1188, 22333, 203, 1070, 2322, 315, 32, 1163, 1188, 8444, 203, 1070, 34856, 1188, 3756, 203, 1070, 34856, 32, 26878, 32, 2282, 32, 33170, 2304, 1188, 617, 203, 1070, 34856, 32, 26878, 32, 2282, 1188, 2361, 2304, 203, 1070, 34856, 32, 26878, 32, 2282, 1188, 1245, 619, 5741, 203, 1070, 34856, 32, 26878, 32, 2282, 1188, 2164, 2304, 203, 1070, 34856, 1188, 7842, 203, 1070, 34856, 1188, 8745, 203, 1070, 34856, 32, 18321, 32, 10300, 32, 2944, 1188, 4125, 619, 10874, 203, 1070, 34856, 32, 18321, 32, 10300, 32, 34268, 1188, 4125, 619, 354, 2548, 203, 1070, 34856, 32, 18321, 1188, 5703, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 10300, 81, 6363, 280, 428, 284, 8444, 32, 2007, 5482, 463, 10281, 318, 81, 4573, 81, 2387, 370, 3083, 1244, 47, 8478, 32, 39891, 81, 589, 463, 31205, 33, 18321, 33, 11201, 32, 2387, 1425, 3083, 3049, 1057, 3442, 803, 436, 33714, 3984, 1425, 284, 8444, 32, 6221, 2007, 5482, 463, 18321, 81, 4765, 2548, 370, 528, 1244, 33792, 528, 3049, 1057, 558, 432, 322, 8664, 2548, 6350, 436, 11227, 34409, 3298, 32, 330, 656, 330, 1318, 2179, 438, 333, 500, 81, 681, 7148, 46, 4765, 2548, 2016, 48, 1425, 284, 8444, 32, 5957, 5482, 463, 8510, 81, 2548, 81, 908, 81, 1521, 81, 2929, 370, 400, 1244, 47, 2700, 30, 400, 3049, 1057, 23922, 372, 15173, 322, 23072, 810, 23969, 322, 330, 3486, 330, 893, 2288, 312, 2163, 3298, 32, 1348, 438, 3390, 810, 322, 3408, 330, 3486, 330, 363, 1631, 646, 526, 7506, 415, 322, 1778, 4304, 312, 8289, 330, 3486, 330, 1648, 432, 8668, 31, 1664, 32, 24341, 39772, 1205, 330, 3486, 330, 1382, 310, 4184, 5398, 308, 979, 2678, 29540, 461, 5081, 471, 556, 5258, 308, 979, 5081, 547, 1425, 284, 1481, 203, 14594, 280, 8444, 32, 14594, 203, 14594, 32, 3317, 81, 6363, 26, 10300, 81, 6363, 27, 203, 14594, 32, 465, 81, 2215, 463, 1536, 81, 929, 34409, 81, 1643, 370, 330, 31205, 32, 18321, 32, 5350, 683, 203, 81, 15935, 6883, 81, 12252, 280, 2149, 203, 81, 5807, 81, 15935, 6883, 81, 12252, 280, 1665, 203, 81, 5807, 81, 6883, 81, 6265, 81, 65, 635, 6031, 280, 5053, 4783, 950, 330, 407, 37, 370, 656, 330, 5910, 950, 330, 566, 2548, 6040, 203, 979, 309, 328, 45623, 32, 18321, 81, 4765, 2548, 44, 284, 2322, 81, 681, 30, 8664, 2548, 81, 2501, 280, 309, 32, 2998, 463, 12483, 225, 35, 27, 284, 415, 2322, 81, 681, 44, 291, 617, 15935, 6883, 81, 12252, 77, 500, 81, 681, 79, 280, 8664, 2548, 81, 2501, 284, 415, 2322, 81, 681, 610, 330, 1536, 950, 291, 617, 5807, 81, 15935, 6883, 81, 12252, 280, 8664, 2548, 81, 2501, 203, 589, 622, 81, 2548, 81, 681, 81, 979, 81, 500, 81, 681, 26, 500, 81, 681, 711, 284, 442, 2322, 81, 681, 415, 617, 15935, 6883, 81, 12252, 32, 371, 26, 500, 81, 681, 27, 813, 330, 1536, 25 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 4, 4, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 9, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 8, 8, 8, 8, 8, 8, 3, 3, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 5, 5, 6, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 7, 5, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 0, 3, 2, 2, 3, 4, 0, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 0, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 6, 6, 5, 5, 6, 6, 6, 4, 4, 6, 7, 6, 8, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 8, 8, 8, 8, 7, 8, 8, 8, 7, 6, 6, 7, 7, 7, 2, 2, 3, 5, 5, 4, 4, 6, 6, 3, 3, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 5, 4, 4, 7, 7, 7, 7, 6, 7, 6, 7, 7, 7, 6, 4, 4, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 2, 1, 1, 1, 2, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 3, 3, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 10, 10, 10, 10, 0, 11, 11, 11, 11, 0, 12, 12, 1, 2, 1, 4, 1, 6, 12, 12, 3, 3, 0, 13, 13, 1, 2, 1, 4, 1, 6, 13, 13, 3, 3, 2, 0, 14, 14, 1, 2, 14, 14, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 0, 23, 23, 23, 23, 3, 2, 2, 2, 2, 23, 23, 23, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 3, 1, 5, 5, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 5, 5, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 24, 24, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 24, 24, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 2322, 203, 6870, 81, 31568, 81, 4065, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 203, 2060, 25845, 3539, 280, 2322, 32, 983, 32, 2524, 26, 6870, 81, 31568, 81, 4065, 30, 330, 93, 6053, 81, 5728, 32, 1843, 1525, 683, 203, 2060, 25845, 3539, 280, 330, 93, 8465, 33, 93, 6053, 81, 5728, 32, 1843, 1525, 25, 203, 1270, 44, 284, 1188, 21184, 10127, 284, 21184, 10127, 32, 12757, 32, 12757, 32, 669, 81, 3142, 463, 1843, 1525, 370, 16597, 81, 31568, 81, 4065, 27, 203, 7343, 44, 284, 3097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 3, 5, 2, 2, 8, 7, 8, 6, 7, 5, 6, 6, 6, 5, 7, 7, 7, 5, 6, 6, 6, 6, 5, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 4, 4, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 3, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 31983, 32, 31983, 2304, 1188, 15820, 203, 465, 1133, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 7138, 1188, 7138, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 3089, 749, 98, 1188, 8684, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 823, 456, 4244, 81, 1174, 26, 500, 104, 32, 1243, 711, 284, 617, 426, 280, 330, 94, 4244, 32, 1174, 25, 284, 617, 2310, 280, 330, 62, 4244, 7679, 25, 284, 617, 1174, 280, 330, 770, 5585, 25, 284, 665, 636, 81, 371, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1619, 47, 2521, 711, 291, 415, 646, 9668, 44, 324, 442, 1605, 291, 736, 280, 1605, 291, 436, 709, 1601, 328, 630, 32, 14304, 26, 2446, 30, 12373, 30, 9668, 30, 1619, 47, 1819, 711, 324, 636, 280, 26155, 62, 4244, 7679, 657, 324, 636, 280, 636, 474, 330, 330, 474, 596, 26, 342, 1601, 32, 314, 27, 324, 736, 32, 1689, 1162, 342, 1601, 32, 314, 30, 636, 490, 291, 442, 736, 284, 665, 617, 4415, 81, 371, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 636, 30, 1638, 30, 1619, 47, 2521, 711, 291, 1056, 280, 5436, 32, 1070, 3494, 26, 3631, 30, 225, 34, 27, 291, 436, 2532, 328, 630, 32, 14304, 26, 2446, 30, 12373, 30, 9668, 30, 1619, 47, 1819, 711, 324, 1056, 77, 1174, 32, 314, 79, 280, 3632, 26, 1174, 81, 928, 32, 2445, 81, 314, 32, 4415, 9111, 436, 2532, 81, 928, 328, 2532, 32, 1174, 81, 928, 81, 3631, 27, 291, 442, 1056, 284, 665, 617, 5140, 81, 10389, 81, 1070, 81, 4446, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 636, 30, 1619, 47, 2521, 711, 400, 1056, 280, 739, 346, 291, 436, 2532, 81, 928, 328, 630, 32, 14304, 26, 2446, 30, 12373, 30, 9668, 30, 1619, 47, 1819, 711, 324, 415, 2532, 81, 928, 32, 1174, 81, 314, 44, 400, 1056, 32, 669, 26, 1174, 81, 928, 32, 1174, 81, 314, 32, 314, 27, 291, 442, 1149, 26, 1267, 27, 284, 665, 1015, 81, 29587, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 15711, 81, 314, 30, 1619, 47, 2521, 711, 291, 313, 351, 1201, 2069, 26, 3631, 27, 610, 225, 35, 291, 2532, 928, 81, 612, 280, 630, 32, 5178, 32, 371, 463, 94, 4244, 32, 1174, 32, 928, 683, 291, 18315, 81, 612, 280, 630, 32, 5178, 32, 371, 463, 94, 4244, 32, 2445, 683, 291, 2532, 280, 630, 32, 14304, 26, 2446, 30, 12373, 30, 9668, 77, 34, 614, 1619, 47, 1819, 27, 291, 15711, 280, 2532, 928, 81, 612, 32, 14304, 26, 2446, 30, 12373, 30, 15711, 81, 314, 30, 1619, 47, 1819, 27, 291, 537, 81, 1174, 81, 928, 280, 301, 324, 330, 770, 950, 2532, 32, 770, 30, 324, 330, 496, 81, 314, 950, 12373, 30, 324, 330, 2445, 81, 314, 950, 15711, 32, 2445, 81, 314, 32, 314, 30, 324, 330, 5766, 950, 15711, 32, 5766, 30, 324, 330, 1174, 81, 314 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 7, 4, 4, 6, 6, 4, 4, 5, 6, 5, 5, 7, 8, 7, 8, 7, 7, 7, 7, 7, 7, 8, 9, 7, 5, 5, 8, 8, 12, 12, 12, 12, 6, 6, 8, 8, 10, 10, 12, 9, 9, 11, 13, 13, 12, 13, 11, 6, 6, 9, 10, 9, 12, 12, 11, 12, 10, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 9, 8, 9, 8, 8, 9, 8, 4, 4, 5, 5, 5, 7, 8, 7, 8, 7, 7, 7, 7, 7, 7, 8, 9, 7, 5, 5, 9, 11, 10, 11, 9, 8, 8, 10, 13, 13, 13, 12, 13, 13, 13, 11, 12, 10, 10, 11, 12, 12, 11, 11, 12, 13, 13, 13, 13, 13, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 6, 5, 5, 5, 5, 5, 5, 6, 7, 5, 3, 3, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 11, 12, 12, 12, 10, 11, 9, 2, 2, 3, 5, 6, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 3, 3, 5, 8, 9, 8, 6, 6, 7, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 8, 8, 9, 10, 9, 8, 9, 10, 8, 4, 4, 6, 6, 9, 9, 9, 8, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 10, 10, 8, 9, 10, 7, 7, 7, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 8, 10, 11, 11, 11, 9, 10, 7, 7, 7, 10, 10, 8, 9, 10, 7, 7, 7, 10, 10, 10 ]
[ 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 0, 5, 5, 0, 6, 6, 0, 0, 1, 2, 1, 4, 6, 6, 0, 7, 7, 1, 1, 1, 2, 0, 0, 1, 2, 2, 7, 7, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 3, 3, 0, 1, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 5, 5, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 4, 4, 3, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 4, 4, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 5, 5, 0, 0, 1, 4, 4, 6, 1, 1, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 6, 6, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 7, 1, 1, 1, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 11, 2, 2, 8, 8, 8, 8, 0, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 2, 5, 1, 7, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 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, 1270, 44, 284, 645, 8527, 32, 12023, 32, 2393, 1188, 622, 81, 496, 81, 1160, 203, 7343, 29986, 44, 3701, 645, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1824, 44, 284, 2680, 280, 622, 81, 496, 81, 1160, 346, 203, 496, 81, 494, 81, 1172, 280, 6611, 101, 15231, 101, 25, 904, 308, 1240, 1114, 2859, 32, 725, 81, 1172, 30, 2680, 1114, 2859, 32, 1473, 81, 426, 27, 203, 496, 81, 1160, 81, 1172, 280, 6611, 101, 15231, 101, 25, 904, 308, 1240, 1114, 2859, 32, 725, 81, 1172, 30, 2680, 1114, 2859, 32, 1160, 81, 426, 27, 203, 496, 81, 1753, 81, 426, 280, 6611, 101, 81, 1753, 25, 904, 2680, 1114, 2859, 32, 1473, 81, 426, 32, 5729, 346, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 2592, 463, 13007, 81, 1637, 370, 330, 1803, 11290, 81, 1293, 683, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 669, 81, 2592, 463, 13007, 81, 1637, 370, 330, 1803, 11290, 81, 1293, 370, 2855, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 12470, 30400, 24174, 1536, 47, 34, 30, 11771, 47, 1815, 471, 2855, 4986, 81, 1536, 47, 2700, 27, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 4, 5, 4, 5, 3, 3, 5, 5, 5, 5, 1, 2, 2, 2, 2, 2, 4, 5, 6, 5, 6, 5, 6, 4, 4, 1, 2, 2, 2, 2, 5, 5, 7, 7, 7, 7, 7, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 3, 7, 6, 7, 5, 6, 6, 6, 4, 4, 6, 7, 5, 6, 6, 6, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 3, 7, 6, 7, 5, 6, 6, 6, 4, 4, 6, 7, 5, 6, 6, 6, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 3, 7, 8, 6, 7, 7, 7, 5, 6, 5, 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, 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, 9, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 9, 9, 10, 11, 9, 7, 7, 9, 9, 8, 9, 7, 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 ]
[ 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, 4, 4, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 4, 3, 3, 3, 3, 3, 0, 1, 2, 1, 4, 1, 6, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 8, 8, 2, 1, 1, 2, 8, 8, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 7, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 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 ]
[ 1070, 323, 1253, 81, 1506, 107, 32, 1637, 81, 1473, 1188, 6012, 959, 203, 1070, 638, 1188, 21565, 81, 2413, 203, 1070, 638, 7854, 1188, 19999, 1969, 203, 823, 7013, 1969, 26, 1969, 959, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5427, 30, 8419, 81, 314, 711, 291, 2599, 26, 4329, 1969, 30, 630, 14585, 1664, 3207, 7128, 27, 291, 630, 1114, 7632, 81, 314, 280, 8419, 81, 314, 284, 477, 2433, 284, 665, 1984, 26, 784, 711, 291, 442, 10698, 1439, 3188, 3317, 49, 7632, 81, 314, 1279, 7632, 81, 314, 16466, 38510, 81, 1141, 1279, 1141, 16054, 1643, 26, 324, 1695, 47, 6177, 81, 2413, 30, 324, 8419, 81, 314, 47, 784, 1114, 7632, 81, 314, 30, 324, 2125, 347, 44513, 392, 291, 829, 284, 665, 438, 81, 7128, 81, 267, 81, 1637, 26, 784, 711, 291, 442, 1346, 2009, 324, 330, 3317, 25, 328, 1780, 32, 5729, 346, 324, 436, 1780, 328, 630, 32, 99, 26, 2079, 1057, 662, 32, 1311, 31, 1113, 1814, 878, 291, 8834, 284, 665, 2355, 81, 1338, 26, 784, 30, 4096, 30, 3882, 30, 952, 30, 3536, 81, 426, 711, 291, 630, 32, 99, 26, 2079, 1057, 1131, 21, 1935, 1814, 4157, 26, 1935, 27, 291, 630, 32, 99, 26, 2079, 1057, 1131, 21, 2895, 1814, 4157, 26, 2895, 27, 291, 630, 32, 99, 26, 2079, 1057, 1131, 21, 699, 1814, 4157, 26, 699, 27, 291, 630, 32, 99, 26, 2079, 1057, 1131, 21, 426, 1814, 4157, 26, 2620, 81, 426, 27, 291, 630, 32, 99, 26, 2079, 1057, 1131, 21, 10369, 31, 7134, 1814, 2232, 32, 2942, 346, 291, 630, 32, 99, 26, 2079, 1057, 1131, 21, 26362, 271, 687, 31, 7134, 1814, 2232, 32, 2942, 346, 284, 665, 6465, 26, 784, 711, 291, 630, 32, 99, 26, 2079, 1057, 1640, 21, 4737, 1814, 2232, 32, 2942, 346, 291, 14237, 280, 19999, 1969, 26, 784, 32, 7128, 27, 291, 14237, 32, 1684, 81, 979, 81, 1637, 346, 291, 442, 14237, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 11, 10, 11, 11, 11, 8, 8, 8, 9, 11, 11, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 11, 11, 9, 9, 11, 12, 11, 8, 8, 9, 9, 9, 12, 13, 12, 14, 13, 15, 15, 15, 15, 15, 15, 11, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 9, 10, 9, 11, 10, 12, 12, 12, 12, 8, 7, 8, 7, 4, 4, 9, 10, 9, 11, 10, 12, 12, 12, 12, 8, 7, 8, 7, 4, 4, 9, 10, 9, 11, 10, 12, 12, 12, 12, 8, 7, 8, 7, 4, 4, 9, 10, 9, 11, 10, 12, 12, 12, 12, 8, 7, 8, 8, 8, 7, 4, 4, 10, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 9, 7, 8, 7, 4, 4, 10, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 10, 11, 10, 12, 11, 13, 13, 13, 13, 9, 7, 8, 7, 4, 4, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 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, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 1, 1, 1, 5, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 3, 3, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 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 ]
[ 823, 1410, 3176, 984, 26, 984, 711, 284, 5881, 3268, 443, 436, 1410, 3176, 5881, 284, 3097, 203, 823, 1410, 3176, 26, 1473, 711, 284, 5881, 1709, 372, 5351, 14465, 2276, 5881, 284, 316, 81, 1327, 81, 678, 280, 540, 20, 1162, 4987, 6448, 21194, 86, 19650, 1130, 110, 2009, 34, 31, 43, 83, 31, 15188, 31, 76, 23, 101, 8501, 31, 6155, 3427, 49, 7283, 11033, 284, 316, 81, 678, 280, 540, 20, 18470, 24573, 3736, 21194, 86, 40935, 1130, 110, 2009, 34, 31, 43, 83, 31, 15188, 31, 76, 2537, 8501, 31, 6155, 4731, 284, 767, 81, 12595, 280, 739, 4901, 6418, 43055, 330, 18194, 14589, 3490, 284, 665, 1156, 1664, 3207, 784, 30, 353, 4870, 47, 2521, 30, 353, 1795, 47, 2521, 30, 353, 1795, 81, 681, 1057, 6045, 370, 353, 17584, 1057, 6418, 353, 12780, 47, 2700, 711, 291, 630, 32, 1286, 280, 1795, 291, 630, 1114, 12637, 280, 17584, 291, 630, 32, 3607, 280, 4870, 291, 630, 3667, 6045, 81, 2665, 280, 1795, 291, 630, 32, 1286, 81, 681, 280, 1795, 81, 681, 291, 630, 32, 10181, 280, 12780, 291, 630, 32, 944, 26, 1286, 81, 681, 47, 784, 32, 1286, 81, 681, 27, 291, 415, 630, 3667, 6045, 81, 2665, 438, 1665, 44, 324, 630, 3667, 6045, 81, 2665, 280, 2149, 284, 477, 2433, 284, 665, 17584, 26, 784, 711, 291, 5881, 19037, 1411, 436, 17584, 5881, 291, 442, 630, 1114, 12637, 284, 477, 12637, 32, 16527, 284, 665, 17584, 26, 784, 30, 6971, 81, 12595, 711, 291, 5881, 25316, 1411, 436, 17584, 5881, 291, 630, 1114, 12637, 280, 6971, 81, 12595, 284, 477, 2433, 284, 665, 14465, 81, 2665, 26, 784, 711, 291, 5881, 19037, 1411, 436, 14465, 81, 2665, 5881, 291, 442, 630, 3667, 6045, 81, 2665, 284, 477, 6045, 81, 2665, 32, 16527, 284, 665, 14465, 81, 2665, 26, 784, 30, 786, 711, 291, 5881, 25316, 1411, 436, 14465, 81, 2665, 5881, 291, 630, 3667, 6045, 81, 2665, 280, 786, 284, 477, 16099, 284, 665, 3185, 81, 678, 26, 678, 30, 18935, 1057, 32, 7831, 291, 5881, 2208, 322, 1202, 18081, 322, 9136, 17584, 9592, 291, 4942, 81, 17641, 4044, 280, 1149, 26, 75, 3176, 32, 508, 81, 12595, 429, 739, 2009, 12595, 5259, 291, 442, 316, 32, 32852, 26, 75, 3176, 32, 268, 81, 678, 32, 1643, 463, 2473, 2524, 26, 2282, 81, 17641, 4044, 3662, 1202, 27, 284, 477, 16099, 284, 665, 2080, 81, 678, 26, 678, 30, 18935, 1057, 32, 7831, 291, 5881, 4635, 322, 14961, 1202, 9592, 291, 4942, 81, 17641, 4044, 280, 1149, 26, 75, 3176, 32, 508, 81, 12595, 429, 739, 2009, 12595, 5259, 291, 415, 646, 316, 32, 2872, 26, 75, 3176, 32, 268, 81, 1327, 81, 678, 32, 1643, 463, 2473, 2524, 26, 2282, 81, 17641, 4044, 3662, 1202, 711, 324, 442, 3177, 291, 442, 2933, 284, 477, 16099, 284, 665, 3345, 81, 3038, 26, 605, 30, 1202, 30, 18935, 1057, 32, 7831, 291, 5881, 3345, 706, 821, 3894, 1202, 5881, 291, 415, 1202, 610, 4247, 461, 6937, 26, 605, 30, 5436, 711, 324, 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, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 2, 2, 5, 5, 4, 4, 6, 9, 7, 7, 9, 7, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 7, 7, 4, 4, 5, 7, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 7, 9, 9, 9, 8, 10, 9, 10, 10, 10, 7, 4, 4, 5, 7, 8, 8, 8, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 5, 5, 6, 7, 8, 2, 2, 6, 5, 6, 3, 3, 4, 5, 6, 5, 5, 6, 6, 5, 4, 4, 8, 8, 8, 8, 8, 5, 5, 8, 9, 7, 7, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 7, 8, 8, 8, 2, 2, 6, 6, 6, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 9, 9, 9, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 8, 8, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 7, 7, 9, 12, 12, 11, 12, 12, 12, 10, 10, 12, 14, 13, 5, 5, 6, 8, 9, 8, 12, 12, 11, 12, 12, 12, 10, 11, 10, 14, 13, 12, 13, 13, 13, 13, 12, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 8, 8, 4, 4, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 7, 7, 9, 12, 12, 11, 12, 12, 12, 10, 10, 12, 14, 13, 5, 5, 6, 7, 9, 10, 9, 13, 13, 12, 13, 13, 13, 13, 13, 11, 12, 11, 15, 14, 13, 14, 14, 14, 14, 13, 9, 9, 6, 6, 8, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 8, 8, 4, 4, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 7, 7, 9, 10, 9, 9, 9, 6, 6 ]
[ 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 7, 1, 2, 2, 2, 9, 1, 2, 2, 11, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 4, 4, 7, 0, 2, 2, 2, 1, 1, 7, 7, 7, 0, 2, 2, 2, 0, 0, 4, 4, 1, 5, 5, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 4, 4, 0, 1, 2, 6, 6, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 1, 7, 7, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 1, 2, 8, 8, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 9, 9, 1, 1, 1, 2, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 10, 10, 1, 1, 1, 2, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 4, 4, 3, 4, 4, 1, 11, 11, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 32, 983, 203, 1070, 298, 841, 98, 536, 1188, 11708, 203, 1070, 298, 841, 98, 536, 32, 7439, 1188, 1169, 17110, 203, 1070, 298, 841, 98, 536, 32, 1040, 1188, 1510, 203, 589, 894, 81, 1771, 761, 81, 4658, 2262, 284, 1201, 1169, 17110, 32, 10348, 284, 1201, 2322, 32, 983, 32, 4658, 26, 464, 17110, 32, 10348, 27, 203, 589, 894, 81, 1832, 81, 464, 17110, 589, 26, 6193, 93, 1163, 711, 284, 11708, 32, 1322, 26, 6193, 93, 1163, 27, 284, 5430, 280, 1169, 17110, 32, 1832, 81, 464, 17110, 81, 589, 26, 6193, 93, 1163, 30, 225, 35, 547, 2998, 9442, 96, 683, 284, 1201, 225, 36, 40, 610, 2069, 26, 4446, 27, 203, 589, 894, 81, 5623, 81, 464, 17110, 26, 6193, 93, 1163, 30, 13916, 711, 284, 1169, 17110, 32, 464, 17110, 26, 6193, 93, 1163, 30, 13916, 27, 284, 1201, 2069, 26, 6193, 93, 1163, 710, 1069, 4243, 3490, 848, 225, 34, 284, 1201, 485, 13994, 1163, 710, 1069, 4243, 8150, 34, 79, 438, 646, 1665, 203, 589, 894, 81, 20210, 81, 1069, 26, 6193, 93, 1163, 30, 13916, 711, 284, 8253, 280, 1169, 17110, 32, 20210, 81, 1069, 81, 2536, 26, 6193, 93, 1163, 30, 13916, 27, 284, 1201, 2069, 26, 8246, 27, 610, 225, 35, 284, 9661, 426, 280, 8253, 77, 34, 79, 284, 1201, 485, 13994, 1163, 710, 25190, 81, 1069, 81, 426, 785, 284, 1201, 485, 13994, 1163, 710, 25190, 81, 1069, 81, 426, 785, 610, 9661, 426, 284, 1201, 485, 13994, 1163, 710, 464, 17110, 81, 1267, 785, 610, 485, 13994, 1163, 710, 25190, 81, 1069, 81, 426, 785, 203, 589, 894, 81, 1069, 81, 452, 81, 4682, 26, 6193, 93, 1163, 30, 744, 81, 15208, 711, 284, 13179, 280, 1169, 17110, 32, 5954, 81, 1069, 81, 452, 81, 4682, 26, 6193, 93, 1163, 30, 744, 81, 15208, 27, 284, 1201, 2069, 26, 10331, 27, 610, 225, 35, 284, 17117, 81, 3607, 280, 13179, 77, 34, 79, 284, 1201, 17117, 81, 3607, 610, 485, 13994, 1163, 710, 4682, 81, 3607, 785, 284, 1201, 485, 13994, 1163, 710, 4682, 81, 3607, 785, 610, 485, 13994, 1163, 710, 464, 17110, 81, 1267, 785, 203, 589, 894, 81, 464, 81, 1382, 81, 3073, 26, 6193, 93, 1163, 30, 13916, 711, 284, 4870, 280, 1169, 17110, 32, 5623, 26, 6193, 93, 1163, 30, 13916, 5594, 34, 79, 284, 415, 1510, 463, 1069, 36, 4682, 7831, 291, 1201, 4870, 610, 485, 13994, 1163, 710, 4682, 81, 3607, 785, 284, 813, 44, 291, 1201, 4870, 610, 485, 13994, 1163, 710, 25190, 81, 1069, 81, 426, 785, 203, 589, 894, 81, 464, 81, 1382, 81, 3073, 81, 4396, 26, 6193, 93, 1163, 30, 2498, 81, 15208, 711, 284, 4870, 280, 1169, 17110, 32, 5623, 26, 6193, 93, 1163, 30, 2498, 81, 15208, 5594, 34, 79, 284, 415, 1510, 463, 1069, 36, 4682, 7831, 291, 1201, 4870, 610, 485, 13994, 1163, 710, 4682, 81, 3607, 785, 284, 813, 44, 291, 1201, 4870, 610, 485, 13994, 1163, 710, 25190, 81, 1069, 81, 426, 785, 284, 2498, 81, 15208 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 5, 4, 5, 2, 2, 3, 6, 7, 5, 6, 5, 7, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 6, 5, 6, 6, 6, 5, 2, 2, 4, 4, 9, 8, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 8, 7, 6, 9, 8, 2, 2, 3, 5, 5, 4, 4, 6, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 6, 5, 6, 6, 5, 6, 6, 6, 5, 5, 5, 2, 2, 3, 6, 8, 8, 8, 7, 9, 9, 9, 4, 4, 5, 2, 2, 3, 7, 7, 6, 8, 8, 8, 6, 5, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 6, 6, 2, 2, 3, 6, 7, 6, 4, 4, 5, 2, 2, 5, 4, 4, 5, 6, 5, 2, 2, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 6, 6, 5, 7, 7, 7, 7, 7, 7, 4, 4, 5, 2, 2, 3, 6, 6, 5, 7, 7, 7, 7, 7, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 6, 7, 6, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 6, 5, 2, 2, 3, 5, 5, 4, 4, 6, 6, 5, 7, 7, 7, 7, 2, 2, 3, 6, 6, 5, 7, 7, 7, 7, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 4, 4, 8, 7, 8, 7, 8, 8, 8, 7, 7, 7, 6, 5, 2, 2, 3, 5, 7, 7, 7, 7, 3, 3, 5, 6, 6, 8, 8, 7, 9, 9, 9, 9, 3, 3, 4, 4, 4, 6, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 8, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 6, 5, 2, 2, 3, 5, 7, 7, 7, 7, 3, 3, 5, 6, 6, 8, 8, 7, 9, 9, 9, 9, 3, 3, 4, 4, 4, 6, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6 ]
[ 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 0, 2, 4, 4, 2, 0, 0, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 6, 6, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 4, 4, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 5, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 8, 8, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 3, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 10, 10, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0 ]
[ 1070, 8527, 32, 1199, 1188, 3387, 30, 4549, 203, 823, 7500, 12679, 26, 3378, 32, 11453, 959, 711, 284, 7171, 81, 5665, 81, 1977, 280, 3177, 284, 665, 1156, 1664, 3207, 784, 30, 372, 30, 544, 81, 2560, 30, 645, 81, 4151, 30, 372, 81, 4151, 30, 1115, 5321, 711, 291, 10306, 710, 10513, 81, 426, 785, 280, 43563, 291, 10306, 710, 5665, 785, 280, 2933, 291, 2599, 26, 3059, 12679, 30, 630, 14585, 1664, 3207, 452, 30, 544, 81, 2560, 30, 645, 81, 4151, 30, 372, 81, 4151, 30, 1115, 5321, 27, 203, 823, 20671, 12679, 26, 3378, 32, 1243, 711, 284, 9126, 280, 4549, 32, 13343, 463, 18713, 32, 11481, 370, 4549, 32, 28781, 27, 284, 2898, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 30, 5799, 47, 1815, 27, 284, 1795, 280, 4549, 32, 10215, 346, 203, 823, 20671, 26, 3378, 32, 1243, 711, 284, 31963, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 27, 284, 2547, 81, 770, 280, 4549, 32, 36172, 346, 284, 13178, 280, 7500, 12679, 26, 11481, 12679, 30, 4549, 32, 28781, 30, 2107, 314, 2188, 2107, 4066, 3490, 284, 443, 11985, 44, 291, 1650, 81, 36202, 280, 428, 324, 3037, 31629, 392, 313, 2862, 81, 770, 3439, 291, 1481, 203, 823, 6422, 705, 9424, 6276, 720, 26, 3378, 32, 1243, 711, 284, 31963, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 27, 284, 2547, 81, 770, 280, 4549, 32, 36172, 346, 284, 443, 11985, 44, 291, 1650, 81, 36202, 280, 3037, 31629, 392, 313, 2862, 81, 770, 1446, 203, 325, 3387, 32, 7980, 610, 330, 19577, 950, 284, 443, 37717, 11481, 26, 3378, 32, 1243, 711, 291, 31963, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 30, 3082, 81, 1055, 47, 1815, 27, 291, 3361, 280, 4549, 32, 10215, 26, 1199, 81, 1055, 47, 1815, 27, 291, 17310, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 38, 34, 30, 5799, 47, 1815, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 4, 3, 3, 7, 9, 9, 9, 9, 6, 6, 4, 4, 7, 9, 9, 6, 6, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 9, 7, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 6, 7, 7, 6, 6, 7, 8, 6, 6, 9, 9, 6, 9, 9, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 9, 9, 7, 9, 9, 9, 9, 0, 1, 1, 3, 4, 2, 2, 4, 4, 1, 1, 3, 4, 4, 6, 5, 6, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 9, 10, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 9, 10, 10, 8, 8, 9, 10, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 5, 5, 0, 2, 1, 1, 1, 2, 5, 5, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 203, 6873, 544, 225, 36, 34, 35, 41, 32, 225, 38, 32, 225, 41, 32, 203, 50, 2116, 44, 4517, 97, 311, 3141, 97, 1224, 742, 203, 9592, 203, 465, 6436, 619, 2065, 203, 465, 19571, 203, 1070, 8751, 32, 34513, 1188, 2454, 81, 34513, 203, 1070, 8751, 32, 8239, 1188, 6915, 23218, 30, 16783, 1449, 203, 9592, 203, 944, 18686, 427, 706, 739, 203, 9592, 203, 589, 22938, 2262, 284, 308, 3239, 9840, 30, 5683, 48212, 7039, 858, 9840, 30, 894, 48212, 27, 280, 766, 291, 2454, 81, 34513, 26, 12944, 47, 1815, 30, 21096, 47, 1815, 30, 1591, 81, 8079, 81, 1172, 47, 2700, 27, 284, 1459, 26, 3239, 9840, 32, 3229, 27, 3701, 1459, 26, 3239, 48212, 32, 3229, 27, 3701, 1459, 26, 858, 9840, 32, 3229, 27, 10065, 1459, 26, 858, 48212, 32, 3229, 27, 10065, 442, 308, 3239, 9840, 30, 5683, 48212, 7039, 858, 9840, 30, 894, 48212, 27, 203, 589, 3219, 4711, 2262, 284, 623, 2156, 15382, 5379, 33, 3287, 81, 3292, 32, 30105, 1461, 4506, 657, 619, 296, 44, 291, 3984, 280, 19571, 32, 944, 26, 88, 27, 291, 624, 35, 30, 624, 36, 30, 624, 37, 280, 3984, 710, 73, 35, 2188, 3984, 710, 73, 36, 2188, 3984, 710, 73, 37, 785, 291, 323, 35, 30, 323, 36, 30, 323, 37, 280, 3984, 710, 84, 35, 2188, 3984, 710, 84, 36, 2188, 3984, 710, 84, 37, 785, 291, 1459, 26, 73, 35, 32, 3229, 30, 624, 36, 32, 3229, 30, 624, 37, 32, 3229, 27, 291, 1459, 26, 84, 35, 32, 3229, 30, 323, 36, 32, 3229, 30, 323, 37, 32, 3229, 27, 284, 442, 3984, 203, 589, 10618, 26, 4573, 30, 106, 711, 284, 624, 35, 30, 624, 36, 30, 624, 37, 280, 3984, 710, 73, 35, 2188, 3984, 710, 73, 36, 2188, 3984, 710, 73, 37, 785, 284, 323, 35, 30, 323, 36, 30, 323, 37, 280, 3984, 710, 84, 35, 2188, 3984, 710, 84, 36, 2188, 3984, 710, 84, 37, 785, 284, 312, 35, 280, 2065, 32, 4260, 26, 106, 30, 624, 35, 27, 474, 323, 35, 284, 1288, 35, 280, 6915, 23218, 26, 83, 35, 27, 284, 312, 36, 280, 2065, 32, 4260, 26, 108, 35, 30, 624, 36, 27, 474, 323, 36, 284, 1288, 36, 280, 6915, 23218, 26, 83, 36, 27, 284, 312, 37, 280, 2065, 32, 4260, 26, 108, 36, 30, 624, 37, 27, 474, 323, 37, 284, 533, 280, 16783, 1449, 26, 83, 37, 27, 17946, 442, 533, 203, 589, 8184, 30367, 924, 26, 107, 30, 273, 711, 397, 273, 280, 273, 32, 12091, 26, 35, 30, 273, 32, 891, 27, 291, 533, 280, 533, 32, 12091, 26, 35, 30, 533, 32, 891, 27, 284, 21776, 6536, 1250, 280, 533, 32, 3229, 77, 34, 79, 284, 5881, 284, 533, 77, 2356, 32, 16251, 26, 15920, 6536, 1250, 471, 273, 79, 5906, 227, 15296, 2792, 132, 45547, 235, 4003, 44378, 5001, 39317, 36633, 10551, 259, 23120, 9731, 256, 5948, 46303, 5150, 24583, 27658, 284, 26290, 27, 21483, 37467, 30968, 19102, 18424, 4003, 25798, 235, 7122, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 1, 1, 7, 7, 6, 6, 7, 6, 7, 7, 6, 6, 7, 6, 4, 4, 5, 4, 6, 6, 6, 8, 7, 8, 6, 6, 7, 8, 6, 6, 8, 8, 8, 8, 7, 8, 6, 2, 2, 5, 7, 7, 6, 7, 5, 2, 2, 5, 7, 7, 6, 7, 5, 2, 2, 5, 7, 7, 6, 7, 5, 2, 2, 5, 7, 7, 6, 7, 5, 2, 2, 3, 6, 6, 5, 5, 6, 5, 6, 6, 5, 5, 6, 5, 0, 1, 1, 2, 2, 1, 1, 3, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 4, 4, 8, 7, 7, 8, 7, 7, 8, 6, 6, 8, 10, 10, 10, 7, 8, 10, 10, 10, 7, 8, 10, 10, 10, 4, 4, 8, 7, 7, 8, 7, 7, 8, 6, 6, 8, 10, 10, 10, 7, 8, 10, 10, 10, 7, 8, 10, 10, 10, 4, 4, 7, 9, 9, 8, 9, 7, 7, 9, 8, 9, 7, 7, 9, 8, 9, 7, 4, 4, 7, 9, 9, 8, 9, 7, 7, 9, 8, 9, 7, 7, 9, 8, 9, 7, 2, 2, 3, 0, 1, 1, 2, 3, 2, 3, 2, 1, 1, 6, 5, 5, 6, 5, 5, 6, 4, 4, 6, 8, 8, 8, 5, 6, 8, 8, 8, 5, 6, 8, 8, 8, 2, 2, 6, 5, 5, 6, 5, 5, 6, 4, 4, 6, 8, 8, 8, 5, 6, 8, 8, 8, 5, 6, 8, 8, 8, 2, 2, 5, 4, 4, 7, 8, 7, 8, 7, 7, 8, 7, 5, 5, 6, 2, 2, 5, 4, 4, 6, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 5, 5, 6, 2, 2, 5, 4, 4, 6, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 7, 5, 5, 6, 2, 2, 4, 4, 6, 6, 7, 7, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 6, 0, 0, 3, 3, 2, 2, 4, 5, 3, 4, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 2, 6, 6, 1, 1, 0, 0, 3, 0, 1, 1, 2, 2, 3, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 0, 0, 5, 2, 1, 4, 4, 1, 0, 0, 1, 2, 1, 4, 4, 1, 0, 0, 1, 2, 1, 4, 4, 1, 0, 0, 1, 2, 1, 4, 4, 1, 0, 0, 1, 2, 1, 4, 4, 5, 1, 1, 0, 0, 3, 0, 1, 1, 2, 2, 3, 2, 0, 7, 7, 1, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 3, 3, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 3, 3, 1, 0, 0, 1, 2, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 3, 3, 1, 0, 0, 1, 2, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 4, 4, 1, 0, 8, 8, 2, 1, 2, 3, 2, 8, 8, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 4, 4, 8, 0, 9, 9, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 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, 1, 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, 203, 465, 2322, 203, 465, 5237, 203, 465, 3619, 23944, 203, 465, 3619, 23944, 32, 11452, 619, 13489, 203, 978, 23944, 32, 470, 81, 8126, 440, 8543, 81, 681, 392, 313, 23280, 1166, 657, 203, 33362, 81, 761, 280, 2322, 32, 983, 32, 8931, 496, 440, 30127, 23280, 1166, 81, 3209, 81, 12623, 657, 203, 978, 23944, 32, 470, 81, 21114, 81, 761, 26, 33362, 81, 761, 27, 203, 12236, 280, 3619, 23944, 32, 3209, 81, 12236, 203, 1729, 280, 3619, 23944, 32, 3209, 13547, 203, 1786, 81, 314, 280, 313, 34, 34, 34, 34, 34, 34, 34, 34, 31, 34, 34, 34, 34, 31, 34, 34, 34, 34, 31, 34, 34, 34, 34, 31, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 20, 203, 1786, 280, 9101, 32, 13547, 32, 371, 26, 1786, 81, 314, 27, 203, 4116, 81, 426, 280, 313, 8183, 32, 2763, 32, 7589, 20, 203, 11541, 280, 22329, 32, 668, 81, 1753, 81, 11541, 26, 1786, 27, 203, 325, 646, 9212, 44, 284, 1459, 440, 8309, 884, 1289, 18895, 9212, 436, 3298, 6611, 101, 25, 372, 1974, 3107, 904, 2145, 27, 284, 5237, 32, 4775, 346, 203, 4875, 280, 9212, 77, 34, 79, 203, 3831, 81, 18925, 280, 8814, 32, 18925, 203, 3831, 81, 605, 280, 8814, 32, 605, 203, 890, 81, 18925, 280, 3218, 81, 18925, 474, 225, 37, 34, 34, 203, 5243, 280, 22329, 32, 1877, 81, 1753, 81, 4133, 26, 1786, 30, 8814, 30, 5880, 81, 426, 30, 28400, 47, 890, 81, 18925, 30, 291, 706, 47, 3831, 81, 605, 30, 5093, 347, 29019, 1401, 2583, 28952, 657, 203, 325, 5127, 44, 284, 1459, 440, 11296, 44104, 9318, 3218, 81, 18925, 27, 284, 1459, 440, 1812, 44104, 9318, 537, 81, 18925, 27, 203, 1824, 44, 284, 1459, 440, 2333, 3803, 7144, 203, 1216, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 4, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 0, 3, 2, 2, 4, 3, 4, 4, 4, 0, 3, 2, 2, 4, 3, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 5, 4, 0, 1, 1, 2, 1, 1, 1, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 2, 2, 5, 6, 5, 0, 3, 2, 2, 3, 4, 3, 0, 3, 3, 3, 2, 2, 3, 4, 0, 3, 3, 3, 2, 2, 3, 4, 0, 3, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 4, 0, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 6, 6, 4, 4, 4, 5, 6, 6, 6, 4, 4, 5, 7, 7, 7, 7, 7, 0, 1, 1, 1, 1, 1, 5, 7, 7, 7, 5, 6, 6, 5, 2, 2, 5, 7, 7, 7, 5, 6, 6, 5, 1, 2, 2, 2, 2, 6, 8, 8, 8, 0, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 14, 14, 1, 14, 14, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 2, 2, 2, 1, 1, 1, 9, 2, 2, 2, 1, 1, 11, 1, 1, 1, 1, 2, 0, 20, 20, 20, 20, 20, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 20, 4, 4, 4, 4, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 20536, 103, 3291, 619, 3920, 203, 1070, 6765, 17594, 32, 3527, 32, 2929, 81, 27360, 1188, 5223, 1434, 5476, 81, 6177, 81, 20740, 203, 1070, 6765, 17594, 32, 3527, 32, 2929, 81, 27360, 32, 11452, 1188, 308, 284, 8073, 3033, 14376, 1063, 30, 203, 27, 203, 1070, 6765, 17594, 32, 3527, 32, 48947, 32, 34783, 1188, 308, 284, 12738, 81, 1293, 619, 12738, 81, 1293, 81, 7489, 30, 203, 27, 203, 1070, 6765, 17594, 32, 913, 1188, 308, 284, 38604, 81, 10539, 81, 7420, 30, 284, 38604, 81, 14080, 81, 2109, 81, 38053, 17589, 30, 284, 45623, 81, 1319, 65, 2478, 30, 284, 45623, 81, 4657, 5875, 30, 284, 45623, 81, 18783, 81, 779, 30, 284, 45623, 81, 7321, 30, 284, 45623, 81, 2319, 30, 284, 34062, 81, 7420, 81, 52, 15835, 75, 30, 284, 34062, 81, 7420, 81, 13926, 30, 284, 34062, 81, 7420, 81, 16021, 15052, 30, 284, 34062, 81, 7420, 81, 41004, 779, 2917, 30, 284, 34062, 81, 7420, 81, 13142, 43214, 6307, 30, 284, 34062, 81, 7420, 81, 21359, 30, 284, 34062, 81, 7420, 81, 21359, 81, 31100, 30, 284, 34062, 81, 7420, 81, 8412, 3360, 30, 284, 34062, 81, 7420, 81, 27852, 81, 46030, 7483, 1781, 30, 284, 34062, 81, 7420, 81, 10115, 527, 11789, 30, 284, 34062, 81, 7420, 81, 14880, 30, 284, 34062, 81, 7420, 81, 18440, 70, 3470, 30, 203, 27, 203, 1070, 6765, 17594, 32, 8774, 1188, 1359, 81, 6460, 619, 6677, 203, 1070, 6765, 17594, 32, 8774, 32, 2225, 81, 8200, 1188, 2498, 81, 9150, 81, 979, 81, 2929, 203, 1070, 638, 1188, 4085, 10383, 203, 10539, 81, 7420, 81, 8467, 280, 313, 4108, 20, 203, 14594, 81, 52, 15835, 75, 81, 10729, 280, 313, 27404, 81, 2649, 20, 203, 14594, 81, 13926, 280, 313, 1700, 20, 203, 14594, 81, 16021, 15052, 280, 313, 8870, 20, 203, 14594, 81, 41004, 779, 2917, 280, 313, 48251, 20, 203, 14594, 81, 13142, 43214, 6307, 280, 313, 728, 42269, 20, 203, 14594, 81, 21359, 280, 313, 7370, 20, 203, 14594, 81, 21359, 81, 31100, 280, 313, 7370, 81, 9410, 20, 203, 14594, 81, 8412, 3360, 280, 313, 25331, 20, 203, 14594, 81, 27852, 81, 46030, 7483, 1781, 280, 313, 7295, 81, 19266, 20, 203, 14594, 81, 10115, 527, 11789, 280, 313, 17473, 20, 203, 14594, 81, 14880, 280, 313, 5561, 20, 203, 14594, 81, 18440, 70, 3470, 280, 313, 34383, 20, 203, 14594, 81, 5975, 280, 313, 853, 20, 203, 18783, 81, 34850, 69, 280, 301, 284, 34062, 81, 7420, 81, 52, 15835, 75, 44, 7316, 14594, 81, 2319, 44, 45623, 81, 52, 15835, 75, 81, 10729, 17545, 284, 34062, 81, 7420, 81, 13926, 44, 7316, 14594, 81, 2319, 44, 45623, 81, 13926, 17545, 284, 34062, 81, 7420, 81, 16021, 15052, 44, 7316, 14594, 81, 2319, 44, 45623, 81, 16021, 15052, 17545, 284, 34062, 81, 7420, 81, 41004, 779, 2917, 44, 7316, 14594, 81, 2319, 44, 45623, 81, 41004, 779, 2917, 17545, 284, 34062, 81, 7420, 81, 13142, 43214, 6307, 44, 7316, 14594, 81, 2319, 44, 45623, 81, 13142, 43214, 6307, 17545, 284, 34062 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 6, 3, 3, 5, 5, 5, 5, 4, 4, 8, 8, 8, 7, 7, 8, 8, 6, 3, 3, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 7, 7, 8, 8, 8, 6, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 7, 7, 8, 8, 8, 8, 6, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 7, 7, 8, 8, 8, 8, 6, 3, 3 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 1, 6, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 3, 3, 3, 3, 0, 0, 4, 4, 2, 2, 2, 2, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 3, 3, 0, 6, 6, 0, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2 ]
[ 465, 316, 203, 1070, 35094, 1188, 11665, 203, 1070, 617, 4700, 1188, 3081, 30, 1156, 1648, 7642, 7272, 30, 6187, 30, 3909, 81, 37995, 30, 766, 353, 40610, 81, 37995, 30, 622, 81, 37995, 30, 1149, 81, 37995, 101, 30, 766, 353, 1600, 81, 891, 81, 3248, 30, 766, 353, 21810, 40101, 81, 4683, 24037, 30, 21810, 40101, 81, 2320, 30, 21810, 40101, 81, 10007, 41530, 30, 21810, 40101, 81, 8467, 30, 766, 353, 1156, 1427, 505, 203, 1070, 617, 4700, 1188, 475, 22989, 619, 617, 37850, 203, 1270, 44, 284, 645, 281, 652, 2338, 1188, 44524, 203, 7343, 29986, 44, 284, 645, 44524, 1188, 44524, 203, 505, 464, 505, 280, 428, 313, 37915, 81, 4683, 24037, 392, 313, 37915, 81, 2320, 392, 313, 37915, 81, 10007, 41530, 392, 313, 37915, 81, 8467, 392, 324, 313, 924, 392, 313, 37850, 392, 9602, 1427, 41501, 313, 15138, 392, 313, 15138, 81, 3007, 392, 324, 313, 1495, 81, 891, 81, 3248, 392, 313, 6308, 392, 313, 7572, 392, 324, 313, 3317, 81, 37995, 392, 313, 371, 81, 37995, 392, 313, 668, 81, 37995, 101, 392, 313, 8784, 10256, 392, 324, 313, 28402, 81, 37995, 392, 9602, 1648, 41501, 313, 7167, 3300, 392, 313, 7167, 3976, 20, 1481, 203, 823, 475, 22989, 44, 284, 617, 426, 280, 3330, 284, 617, 1327, 280, 3177, 284, 19713, 280, 1665, 284, 15358, 1594, 280, 1665, 284, 15820, 1594, 280, 1665, 284, 2064, 7345, 280, 1665, 284, 7116, 4332, 1166, 280, 1665, 284, 11220, 14295, 887, 717, 280, 1665, 284, 2063, 13786, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 711, 291, 415, 630, 3667, 823, 505, 863, 475, 22989, 44, 324, 630, 1114, 1327, 280, 2933, 291, 630, 1114, 4635, 346, 284, 665, 617, 4635, 26, 784, 711, 291, 1596, 44, 324, 617, 37850, 26, 784, 27, 291, 2940, 12678, 30, 484, 44, 324, 3636, 3081, 26, 466, 26, 87, 490, 203, 823, 32150, 26, 37850, 711, 284, 19713, 280, 17359, 284, 15358, 1594, 280, 37316, 284, 2064, 7345, 280, 2933, 284, 7116, 4332, 1166, 280, 3177, 284, 11220, 14295, 887, 717, 280, 3228, 100, 78, 96, 25, 284, 2063, 13786, 280, 21810, 40101, 81, 4683, 24037, 203, 3317, 81, 37995, 440, 15138, 392, 32150, 27, 203, 823, 32150, 81, 3007, 26, 15138, 711, 284, 19713, 280, 3228, 102, 25, 203, 3317, 81, 37995, 440, 15138, 31, 3007, 392, 32150, 81, 3007, 27, 203, 823, 14580, 3300, 44, 284, 665, 1156, 1664, 3207, 784, 30, 296, 30, 1600, 4243, 47, 2521, 30, 6109, 678, 47, 2521, 30, 6109, 695, 47, 2521, 30, 353, 38043, 347, 15138, 392, 319, 1132, 30, 1115, 38103, 711, 291, 630, 1114, 1495, 4243, 280, 1600, 4243, 31509, 630, 32, 4738, 678, 280, 6109, 678, 2264, 291, 630, 32, 4738, 695, 280, 6109, 695, 2264, 291, 630, 32, 6308, 280, 6187, 26, 88, 30, 38043, 30, 319, 1132, 30, 1115, 38103, 27, 291, 630, 32, 37995, 280, 38043, 291, 630, 32, 928, 81, 1516, 280, 225, 34, 284, 665, 1156, 1731, 3207, 784, 711, 291, 442, 630, 284, 477, 2433, 284, 665, 1600, 4243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 0, 1, 1, 3, 1, 1, 4, 2, 2, 3, 0, 1, 1, 1, 1, 3, 5, 5, 3, 3, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 0, 1, 1, 2, 1, 1, 1, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 6, 6, 7, 5, 5, 5, 9, 10, 8, 8, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 9, 10, 9, 5, 5, 6, 6, 6, 6, 6, 6, 8, 10, 12, 12, 13, 12, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 6, 2, 2, 5, 4, 4, 5, 5, 5, 5, 0, 3, 3, 3, 3, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 6, 0, 3, 3, 3, 3, 5, 5, 5, 5, 3, 4, 4, 3, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 4, 5, 7, 7, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 4, 7, 8, 6, 6, 8, 9, 8, 8, 8, 8, 10, 8, 8, 10, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 2, 5, 3, 3, 4, 5 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 13, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 20, 2, 0, 0, 0, 0, 2, 2, 23, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 32, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 2, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 6, 6, 1, 6, 6, 6, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 9, 1, 1, 1, 2, 9, 9, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 1, 3, 3, 10, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 1, 0, 1, 1, 1, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 0, 11, 11, 1, 11, 11, 11, 0, 1, 1, 1, 2, 2, 2, 2, 0, 5, 2, 2, 2, 0, 7, 2, 2, 2, 0, 9, 2, 2, 2, 2, 11, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 3, 3, 1, 1, 1, 1, 2, 1, 1, 0, 3, 3, 1, 2, 2, 1, 1 ]
[ 505, 464, 505, 280, 2107, 21809, 5144, 38810, 2905, 785, 203, 1070, 2417, 28290, 1188, 46851, 25073, 2905, 30, 36257, 46844, 2905, 30, 28376, 2905, 203, 1070, 2417, 28290, 32, 28290, 81, 3376, 1188, 617, 1643, 81, 7508, 30, 617, 371, 81, 2409, 81, 1293, 203, 823, 18956, 5144, 38810, 2905, 26, 11697, 2905, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1695, 81, 3376, 30, 6278, 81, 8075, 47, 34, 4317, 6278, 81, 10615, 47, 34, 4317, 6278, 81, 10931, 47, 34, 32, 711, 291, 1201, 646, 6278, 81, 10615, 556, 646, 6937, 26, 1439, 81, 3376, 30, 46851, 25073, 2905, 471, 766, 324, 313, 17840, 25073, 2905, 4163, 1330, 2193, 10003, 5144, 1603, 33240, 32, 313, 766, 324, 313, 6574, 1015, 18956, 5144, 38810, 2905, 372, 322, 12389, 1531, 941, 550, 4174, 3107, 291, 1201, 646, 6278, 81, 10615, 766, 3083, 556, 646, 6937, 26, 1439, 81, 3376, 30, 36257, 46844, 2905, 27, 556, 646, 1695, 81, 3376, 1114, 12117, 25073, 30, 766, 324, 313, 17840, 25073, 36257, 46844, 2905, 4163, 1330, 2193, 10003, 5144, 1603, 33240, 32, 313, 766, 324, 313, 6574, 1015, 18956, 5144, 38810, 2905, 372, 322, 12389, 1531, 941, 550, 4174, 3107, 291, 2599, 26, 21809, 5144, 38810, 2905, 30, 630, 14585, 1664, 3207, 1439, 81, 3376, 27, 291, 630, 32, 3798, 81, 8075, 280, 6278, 81, 8075, 291, 630, 32, 3798, 81, 10615, 280, 6278, 81, 10615, 291, 630, 32, 3798, 81, 10931, 280, 6278, 81, 10931, 291, 630, 32, 3798, 81, 8075, 81, 3965, 280, 1665, 291, 630, 32, 3798, 81, 10615, 81, 3965, 280, 1665, 291, 630, 32, 3798, 81, 10931, 81, 3965, 280, 1665, 284, 665, 617, 7909, 26, 784, 711, 291, 442, 330, 41659, 1962, 25, 284, 665, 5657, 26, 784, 711, 291, 2599, 26, 21809, 5144, 38810, 2905, 30, 630, 547, 4534, 346, 291, 630, 32, 3798, 81, 8075, 81, 3965, 280, 1665, 291, 630, 32, 3798, 81, 10615, 81, 3965, 280, 1665, 291, 630, 32, 3798, 81, 10931, 81, 3965, 280, 1665, 284, 665, 617, 8788, 81, 1131, 81, 29825, 26, 784, 30, 506, 30, 7806, 30, 10066, 711, 291, 415, 630, 32, 3798, 81, 10615, 461, 630, 32, 3798, 81, 10615, 81, 3965, 438, 1665, 44, 324, 630, 32, 3798, 81, 10615, 81, 3965, 280, 506, 32, 38810, 26, 56, 32, 5783, 81, 6228, 26, 10615, 77, 34, 5727, 13588, 298, 47, 784, 32, 3798, 81, 10615, 27, 291, 415, 630, 32, 3798, 81, 8075, 461, 630, 32, 3798, 81, 8075, 81, 3965, 438, 1665, 44, 324, 630, 32, 3798, 81, 8075, 81, 3965, 280, 506, 32, 38810, 26, 56, 32, 5783, 81, 6228, 26, 8075, 471, 13588, 298, 47, 784, 32, 3798, 81, 8075, 27, 284, 665, 617, 8788, 81, 2024, 81, 3965, 26, 784, 30, 506, 30, 1688, 711, 291, 415, 630, 32, 3798, 81, 10931, 461, 630, 32, 3798, 81, 10931, 81, 3965, 438, 1665, 44, 324, 630, 32, 3798, 81, 10931, 81, 3965, 280, 506, 32, 38810, 26, 56, 32, 5783, 81, 6228, 26, 2024, 471, 16329, 298, 47, 784, 32, 3798, 81, 10931 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 4, 3, 4, 4, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 6, 4, 6, 6, 5, 6, 6, 4, 6, 6, 5, 6, 6, 4, 3, 3, 5, 7, 8, 8, 6, 6, 7, 9, 10, 10, 10, 9, 9, 10, 10, 9, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 8, 9, 9, 7, 8, 7, 7, 8, 10, 11, 11, 11, 10, 10, 11, 11, 10, 6, 6, 7, 9, 9, 8, 9, 9, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 13, 12, 13, 13, 13, 12, 14, 13, 14, 13, 10, 10, 11, 13, 12, 13, 13, 13, 10, 4, 4, 5, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 13, 12, 13, 13, 13, 12, 13, 12, 10, 10, 11, 13, 12, 13, 13, 13, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 13, 12, 13, 13, 13, 12, 13, 12, 10, 10, 11, 13, 12, 13, 13, 13 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 0, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 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, 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, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2 ]
[ 1070, 894, 81, 2846, 32, 858, 81, 2846, 1188, 35409, 1006, 5936, 203, 1070, 894, 81, 2846, 32, 1040, 1188, 1201, 81, 2228, 203, 823, 902, 1055, 1006, 26, 41377, 1006, 5936, 711, 284, 665, 739, 81, 858, 81, 2132, 26, 784, 711, 291, 630, 32, 5522, 81, 6008, 81, 5074, 280, 2933, 291, 630, 32, 1516, 81, 5459, 280, 225, 35, 284, 665, 316, 1055, 26, 784, 30, 2258, 5074, 1293, 47, 2700, 711, 291, 630, 32, 5459, 77, 34, 997, 5536, 452, 2468, 26, 37, 30, 630, 32, 5459, 77, 34, 997, 371, 81, 18638, 5401, 81, 7242, 81, 678, 922, 2468, 27, 291, 2163, 998, 280, 630, 32, 5459, 77, 34, 997, 371, 1521, 998, 346, 291, 630, 32, 4048, 81, 5459, 346, 291, 6717, 81, 1132, 280, 428, 1365, 31, 268, 1055, 31, 5074, 1293, 20, 415, 2258, 5074, 1293, 813, 4825, 268, 1055, 32851, 291, 630, 32, 1366, 81, 5459, 26, 7615, 81, 1132, 27, 291, 1201, 81, 2228, 26, 784, 32, 5459, 77, 34, 997, 371, 1521, 998, 1026, 2163, 998, 27, 16189, 630, 32, 751, 32, 1338, 440, 4411, 657, 284, 665, 1420, 81, 858, 26, 784, 711, 291, 630, 32, 268, 1055, 26, 2700, 27, 291, 630, 32, 268, 1055, 26, 1815, 27, 291, 630, 32, 268, 1055, 26, 2700, 27, 291, 630, 32, 268, 1055, 26, 1815, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 902, 1055, 1006, 922, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 9, 10, 8, 9, 8, 8, 8, 8, 7, 8, 7, 7, 12, 13, 11, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 7, 4, 4, 7, 6, 6, 10, 11, 9, 10, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 9, 9, 11, 11, 11, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 7, 12, 11, 12, 10, 11, 10, 10, 10, 10, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 7, 7, 7, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 28520, 32, 1647, 81, 2304, 32, 6390, 1188, 35603, 2459, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 49003, 5080, 81, 378, 85, 1188, 308, 284, 4200, 85, 81, 1647, 81, 979, 81, 669, 30, 284, 4200, 85, 81, 1647, 81, 979, 81, 3176, 30, 284, 33951, 81, 1903, 30, 284, 1695, 81, 6161, 30, 203, 27, 203, 37632, 14507, 81, 26580, 280, 5053, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 370, 528, 330, 1648, 950, 330, 35, 32, 34, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 14403, 95, 81, 12236, 81, 5634, 203, 1648, 81, 11043, 44, 313, 36, 32, 36, 20, 203, 2116, 44, 313, 705, 12810, 559, 340, 5231, 15142, 11931, 36, 31, 52, 4731, 203, 4021, 81, 2310, 44, 31580, 22329, 32019, 544, 312, 707, 387, 5080, 36713, 332, 2145, 203, 2310, 44, 284, 429, 313, 2272, 2297, 6972, 372, 11856, 22329, 32019, 544, 312, 707, 387, 5080, 36713, 332, 2145, 308, 71, 3746, 547, 1568, 2030, 5251, 322, 4262, 2330, 432, 322, 632, 3746, 372, 1487, 312, 537, 1300, 556, 4553, 561, 3107, 203, 15965, 44, 284, 429, 4865, 2377, 225, 36, 32, 40, 203, 2184, 44, 284, 1603, 44, 291, 2129, 44, 901, 291, 1244, 44, 313, 2689, 20, 291, 16682, 44, 428, 5024, 30, 40118, 1481, 291, 3048, 44, 324, 429, 14071, 322, 22329, 10790, 438, 5024, 556, 646, 32, 284, 827, 44, 291, 2129, 44, 861, 291, 16682, 44, 428, 7386, 81, 5634, 30, 10156, 81, 5634, 1481, 291, 3048, 44, 324, 429, 14054, 415, 322, 10790, 438, 312, 7386, 556, 10156, 13569, 10790, 32, 284, 10790, 44, 291, 2129, 44, 861, 291, 3048, 44, 324, 429, 13569, 10790, 636, 30, 484, 32, 89, 32, 390, 26, 2763, 32, 508, 547, 284, 636, 1786, 44, 291, 2129, 44, 901, 291, 3048, 44, 324, 429, 1682, 432, 9136, 636, 13602, 32, 11526, 415, 390, 26, 1293, 47, 2689, 547, 284, 14091, 44, 291, 2129, 44, 901, 291, 3048, 44, 324, 429, 1682, 432, 2568, 4600, 11019, 30, 544, 1510, 322, 2145, 1395, 1090, 1789, 458, 10790, 32, 11526, 415, 390, 26, 1293, 47, 2689, 547, 284, 9737, 44, 291, 2129, 44, 901, 291, 1244, 44, 225, 37, 40, 34, 34, 291, 3048, 44, 324, 429, 21617, 2670, 322, 10790, 1395, 526, 2488, 42176, 32, 284, 11322, 44, 291, 2129, 44, 901, 291, 1244, 44, 225, 35, 42, 34, 34, 291, 3048, 44, 324, 429, 21617, 688, 1395, 709, 6641, 2670, 312, 3803, 9737, 1395, 526, 43664, 32, 284, 27245, 44, 291, 2129, 44, 901, 291, 1244, 44, 225, 40, 34, 38, 42, 34, 34, 291, 3048, 44, 324, 429, 19009, 322, 8342, 2723, 544, 322, 1133, 7898, 688, 883, 709, 6641, 2670, 322, 10790, 438, 1289, 8928, 4081, 36128, 32, 284, 28400, 44, 291, 2129, 44, 901, 291, 1244, 44, 225, 40, 34, 34, 291, 3048, 44, 324, 429, 24626, 44104, 1600, 688, 1395, 526, 21148, 623, 1346, 40834, 645, 458, 10790, 32, 284, 7260, 44, 291, 2129, 44, 901, 291, 1244, 44, 4247 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 3, 3, 3, 3, 2, 2, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 1, 2, 2, 2, 1, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 8527, 32, 2957, 32, 11400, 1188, 15103, 30, 1984, 203, 1070, 831, 1507, 6854, 32, 44790, 1188, 4125, 203, 965, 15719, 280, 15103, 26, 284, 330, 93, 1507, 6854, 32, 44790, 32, 4338, 370, 284, 1984, 26, 100, 28249, 22742, 37143, 330, 22742, 370, 636, 1057, 44790, 32, 22742, 1425, 284, 1984, 26, 100, 28249, 24206, 37143, 330, 24206, 370, 636, 1057, 44790, 32, 24206, 1425, 284, 1984, 26, 100, 28249, 24206, 31, 1455, 37143, 330, 24206, 81, 1455, 370, 291, 636, 1057, 44790, 32, 24206, 81, 1455, 1425, 284, 1984, 26, 100, 28249, 24206, 33, 11034, 31, 2138, 37143, 330, 24206, 81, 11034, 81, 2138, 370, 291, 636, 1057, 44790, 32, 24206, 81, 11034, 81, 2138, 1425, 284, 1984, 26, 100, 28249, 6419, 31, 2138, 33, 12390, 66, 46, 850, 541, 81, 7794, 8828, 80, 33, 6155, 7243, 330, 6419, 81, 2138, 370, 291, 636, 1057, 44790, 32, 6419, 81, 2138, 1425, 284, 1984, 26, 100, 28249, 22742, 33, 12390, 66, 46, 850, 541, 81, 7794, 8828, 80, 33, 6155, 7243, 330, 22742, 81, 5110, 370, 291, 636, 1057, 44790, 32, 22742, 81, 5110, 1425, 284, 1984, 26, 100, 28249, 24206, 33, 11256, 31, 11034, 37143, 330, 24206, 81, 11034, 370, 291, 636, 1057, 44790, 32, 24206, 81, 11034, 1425, 284, 1984, 26, 100, 28249, 24206, 33, 12390, 66, 46, 850, 541, 81, 7794, 8828, 80, 33, 6155, 7243, 330, 24206, 81, 5110, 370, 291, 636, 1057, 44790, 32, 24206, 81, 5110, 1425, 284, 1984, 26, 100, 28249, 11256, 33, 7854, 33, 7982, 33, 481, 25267, 37143, 330, 481, 25267, 81, 7982, 370, 291, 636, 1057, 44790, 32, 481, 25267, 81, 7982, 1425, 284, 1984, 26, 100, 28249, 11256, 33, 7854, 33, 7982, 33, 12390, 66, 46, 6921, 81, 687, 8828, 80, 33, 6155, 9501, 370, 330, 6921, 81, 7982, 370, 291, 636, 1057, 44790, 32, 6921, 81, 7982, 1425, 284, 1984, 26, 100, 28249, 1237, 33, 104, 35, 33, 4746, 512, 3929, 8172, 37143, 4125, 32, 24610, 9141, 720, 32, 302, 81, 1071, 1026, 291, 636, 1057, 1237, 32, 4746, 512, 3458, 81, 668, 1425, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 8, 8, 8, 8, 6, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 6, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 100, 2993, 203, 66, 9616, 29793, 872, 1369, 6512, 2265, 203, 1318, 29793, 872, 1369, 26764, 5251, 10605, 15866, 372, 47223, 1344, 619, 328, 447, 9616, 29793, 872, 1369, 32, 203, 2272, 4736, 438, 312, 2601, 432, 322, 26764, 12109, 3261, 6638, 810, 39152, 22554, 383, 618, 268, 203, 363, 3304, 821, 1913, 555, 1499, 32, 45052, 32, 417, 9616, 32, 7589, 25401, 5309, 872, 1369, 33, 26331, 32, 1246, 32, 203, 2993, 203, 465, 316, 203, 1070, 46436, 32, 30066, 32, 1237, 1188, 6512, 2265, 59, 203, 823, 29793, 872, 1369, 5095, 22383, 26, 22383, 59, 711, 284, 15154, 1392, 81, 24658, 940, 280, 428, 291, 308, 268, 32, 6993, 26, 100, 28249, 1492, 1425, 540, 25, 572, 1425, 291, 308, 268, 32, 6993, 26, 100, 32312, 572, 27, 1425, 540, 25, 766, 35, 47503, 291, 308, 268, 32, 6993, 26, 100, 25, 2009, 10442, 8653, 46, 1130, 20, 1425, 540, 10255, 35, 4102, 47503, 284, 1481, 284, 447, 1413, 935, 44182, 280, 428, 291, 308, 268, 32, 6993, 26, 100, 25, 2009, 19670, 1130, 2009, 14747, 86, 1130, 1425, 540, 25, 766, 35, 766, 36, 1425, 291, 308, 268, 32, 6993, 26, 100, 25, 2009, 19670, 1130, 22, 1425, 540, 25, 766, 35, 47503, 291, 308, 268, 32, 6993, 26, 100, 10255, 5327, 5327, 41365, 540, 25, 2417, 47503, 291, 308, 268, 32, 6993, 26, 100, 44860, 45, 50, 35130, 23, 24, 79, 1425, 540, 25, 766, 89, 46, 34, 48, 47503, 291, 308, 268, 32, 6993, 26, 100, 25, 24183, 8169, 1130, 4987, 7447, 40817, 10854, 4370, 5844, 78, 785, 3730, 78, 101, 29481, 1425, 540, 10255, 35, 766, 36, 78, 37, 47503, 291, 308, 268, 32, 6993, 26, 100, 44860, 49, 31403, 1425, 540, 25, 766, 89, 46, 34, 48, 47503, 291, 308, 268, 32, 6993, 26, 100, 20, 24183, 3490, 25, 33146, 540, 7646, 35, 330, 33146, 284, 1481, 284, 447, 3195, 3020, 81, 45376, 41949, 280, 428, 291, 308, 268, 32, 6993, 26, 100, 25, 13644, 10854, 13644, 4987, 5421, 4080, 4104, 46, 78, 10494, 1425, 540, 25, 766, 89, 46, 34, 48, 47503, 291, 308, 268, 32, 6993, 26, 100, 25, 287, 1425, 540, 25, 769, 47503, 284, 1481, 284, 7082, 1392, 81, 24658, 940, 280, 428, 291, 308, 268, 32, 6993, 26, 100, 7362, 1425, 313, 4247, 33146, 291, 308, 268, 32, 6993, 26, 100, 25, 4987, 69, 2502, 6945, 78, 683, 1425, 540, 10255, 35, 766, 36, 47503, 291, 308, 268, 32, 6993, 26, 100, 20, 24183, 25, 8834, 14969, 101, 69, 79, 19994, 77, 95, 63, 79, 19994, 77, 86, 54, 28094, 683, 33146, 540, 7646, 35, 766, 36, 33146, 291, 308, 268, 32, 6993, 26, 100, 20, 24183, 25, 8834, 463, 611, 19994, 3199, 19994, 268, 19994, 613, 19994, 587, 19994, 2478, 110, 96, 1330, 110, 64, 25, 70, 27, 33146, 540, 7646, 35, 766, 36, 33146, 284, 1481, 284, 2198, 1310, 8750, 69, 36, 280, 428, 268, 32, 6993, 26, 100, 20, 12390, 91, 5421, 84, 26, 3374, 2502, 1206, 5421, 84, 2113, 3486, 316, 32, 6993, 26, 100, 20 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 6, 8, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 6, 8, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 5, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 6, 8, 8, 8, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 9, 8, 9, 8, 10, 10, 10, 6, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 8, 5, 5, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 8, 8, 8, 8, 8, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9 ]
[ 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, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 3, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 5, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 3, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 5, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 7, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 11, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 13, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 3, 0, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 0, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0 ]
[ 1070, 341, 1549, 1356, 32, 7923, 1188, 10639, 2388, 30, 282, 203, 1070, 341, 1549, 1356, 32, 11912, 1188, 3570, 203, 50, 2957, 203, 589, 2290, 81, 89, 2369, 26, 2957, 711, 203, 202, 21937, 47, 2957, 32, 1809, 81, 5784, 4901, 89, 1046, 1195, 85, 1046, 2188, 869, 1057, 18272, 683, 203, 202, 21937, 47, 2957, 32, 3515, 81, 452, 81, 668, 26, 21937, 27, 203, 202, 2957, 32, 371, 81, 1152, 81, 1648, 26, 21937, 30, 14341, 47, 1815, 27, 203, 202, 2957, 32, 2121, 32, 18272, 81, 2474, 1057, 14341, 25, 203, 202, 2957, 32, 2121, 32, 18272, 47, 21937, 203, 50, 2957, 203, 589, 485, 2369, 81, 2282, 81, 4545, 26, 2957, 711, 203, 202, 104, 47, 2957, 32, 2121, 203, 202, 104, 710, 18272, 81, 12784, 81, 56, 785, 19066, 203, 202, 104, 710, 18272, 81, 70, 11502, 81, 56, 785, 11414, 31, 85, 27808, 97, 785, 203, 202, 325, 646, 354, 710, 11238, 81, 18272, 12132, 104, 710, 11238, 81, 18272, 20950, 104, 710, 18272, 785, 203, 202, 104, 710, 18272, 21767, 61, 81, 12784, 81, 56, 785, 19066, 203, 202, 104, 710, 18272, 21767, 61, 81, 70, 11502, 81, 56, 785, 11414, 31, 97, 785, 203, 202, 104, 710, 10509, 4065, 81, 635, 785, 1057, 31, 59, 23, 101, 25, 203, 202, 104, 710, 13078, 940, 81, 635, 785, 1057, 31, 54, 23, 101, 25, 203, 202, 104, 710, 7655, 81, 635, 785, 1057, 31, 94, 23, 101, 25, 203, 202, 104, 710, 7655, 4065, 81, 635, 785, 1057, 31, 62, 23, 101, 25, 203, 202, 104, 710, 635, 7655, 81, 635, 785, 1057, 31, 94, 23, 101, 25, 203, 202, 104, 710, 635, 7655, 4065, 81, 635, 785, 1057, 31, 62, 23, 101, 25, 203, 202, 104, 710, 68, 4065, 81, 635, 785, 1057, 31, 23752, 5437, 100, 983, 9726, 101, 25, 203, 202, 104, 710, 1960, 3848, 81, 635, 785, 1057, 31, 23752, 5437, 90, 9726, 101, 25, 203, 202, 104, 710, 2514, 7655, 81, 22600, 785, 1057, 31, 23752, 5437, 52, 9010, 25, 203, 202, 104, 710, 635, 7655, 81, 22600, 785, 1057, 31, 23752, 5437, 52, 1574, 25, 203, 202, 104, 710, 21937, 5784, 81, 21589, 785, 31197, 101, 25, 203, 202, 104, 710, 47381, 81, 21937, 615, 1356, 785, 11414, 31, 88, 25370, 785, 203, 202, 104, 710, 11238, 6880, 81, 21937, 615, 1356, 785, 11414, 31, 4190, 785, 203, 202, 104, 710, 21937, 615, 1356, 81, 21589, 785, 1057, 1356, 23, 101, 32, 762, 25, 203, 202, 104, 710, 11238, 6880, 81, 21937, 270, 1356, 785, 11414, 31, 23752, 5437, 52, 1574, 785, 203, 202, 104, 710, 21937, 270, 1356, 81, 21589, 785, 1057, 1356, 23, 101, 32, 83, 25, 203, 202, 104, 710, 11238, 6880, 81, 8449, 52, 44910, 785, 11414, 31, 8366, 27808, 6376, 1195, 9010, 81, 10122, 785, 203, 202, 104, 710, 47381, 81, 8449, 52, 44910, 785, 11414, 31, 88, 25370, 785, 203, 202, 104, 710, 4229, 8366, 81, 21589, 785, 31197, 101, 32, 8366, 25, 203, 50, 2957, 203, 589, 485, 2369, 81, 20346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 2, 3, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 6, 5, 8, 7, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 9, 8, 10, 10, 3, 3, 6, 5, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 3, 3, 7, 6, 7, 7, 7, 7, 7, 6, 7, 6, 8, 7, 8, 6, 3, 3, 8, 7, 8, 6, 7, 7, 7, 5, 7, 7, 3, 3, 8, 7, 8, 6, 7, 5, 6, 0, 2, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 5, 7, 6, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 5, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 3, 3, 4, 4, 5, 6, 8, 8, 8, 8, 9, 8, 10, 10, 10, 10, 9, 8, 10, 10, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 7, 7, 7, 7, 0, 2, 3, 1, 2, 2, 3, 3, 3 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 3, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 4, 4, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 4, 4, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 4, 4, 3, 3, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 4, 1, 1, 1, 1, 1 ]
[ 465, 996, 23239, 32, 14806, 203, 1070, 34856, 32, 1237, 32, 26878, 1188, 11581, 203, 1070, 34856, 1188, 7596, 203, 1070, 34856, 1188, 1619, 619, 34856, 81, 1819, 203, 1070, 34856, 1188, 3756, 203, 1070, 34856, 32, 91, 35, 42, 96, 1188, 617, 203, 1070, 34856, 1188, 2719, 1363, 203, 22582, 280, 11581, 32, 6728, 81, 2116, 2265, 463, 7924, 370, 330, 7782, 1874, 1734, 683, 203, 823, 14802, 1874, 1734, 1917, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1447, 81, 16397, 711, 291, 630, 32, 2035, 81, 1237, 280, 7596, 32, 3663, 2554, 346, 291, 630, 32, 2122, 1363, 81, 1237, 280, 2719, 1363, 32, 2554, 346, 291, 2599, 26, 20562, 1874, 1734, 1917, 30, 630, 14585, 1664, 16369, 291, 630, 32, 407, 81, 16397, 280, 1447, 81, 16397, 284, 665, 617, 1071, 81, 7782, 12376, 26, 784, 30, 15223, 12376, 30, 2719, 30, 9355, 30, 13602, 47, 2521, 30, 656, 1115, 5321, 711, 291, 420, 2983, 81, 2665, 280, 301, 324, 330, 314, 950, 15223, 12376, 32, 314, 30, 324, 330, 7782, 12376, 81, 12256, 950, 15223, 12376, 32, 7782, 12376, 81, 12256, 30, 324, 320, 291, 1447, 81, 1517, 81, 5893, 280, 630, 32, 407, 81, 16397, 32, 297, 81, 5893, 463, 500, 31, 7782, 12376, 31, 1517, 683, 291, 415, 1447, 81, 1517, 81, 5893, 44, 324, 29042, 280, 630, 32, 2122, 1363, 81, 1237, 32, 2122, 81, 297, 81, 417, 26, 2122, 27, 324, 420, 2983, 81, 2665, 710, 1293, 785, 280, 330, 417, 25, 415, 29042, 813, 313, 1746, 20, 324, 420, 2983, 81, 2665, 710, 1517, 785, 280, 308, 400, 330, 7073, 25, 415, 2719, 32, 7073, 813, 330, 6565, 683, 291, 415, 9355, 461, 646, 13602, 44, 324, 3829, 280, 2726, 104, 33419, 370, 330, 5566, 81, 1232, 370, 330, 1696, 81, 6193, 370, 330, 104, 33419, 81, 3985, 370, 2855, 330, 5566, 81, 1232, 81, 3985, 370, 330, 1696, 81, 6193, 81, 3985, 370, 2855, 330, 7782, 12376, 81, 681, 370, 330, 7782, 12376, 81, 1648, 370, 2855, 330, 3994, 81, 4325, 81, 1232, 370, 330, 3994, 81, 10300, 81, 6193, 370, 330, 1700, 81, 23581, 370, 2855, 330, 10333, 81, 41823, 370, 330, 6281, 81, 1338, 370, 330, 10300, 81, 7230, 81, 27977, 683, 324, 1447, 81, 5893, 280, 630, 32, 407, 81, 16397, 32, 297, 81, 5893, 463, 500, 31, 17042, 31, 7782, 1874, 1734, 683, 324, 415, 1447, 81, 5893, 44, 400, 3829, 1454, 2726, 2035, 81, 639, 370, 27, 324, 436, 1600, 328, 3829, 44, 400, 420, 2983, 81, 2665, 77, 1495, 79, 280, 15223, 12376, 77, 1495, 79, 324, 420, 2983, 81, 2665, 710, 2122, 785, 280, 301, 400, 330, 314, 950, 2719, 32, 314, 30, 400, 330, 2035, 950, 15223, 12376, 32, 2035, 30, 400, 320, 324, 415, 1447, 81, 1517, 81, 5893, 44, 400, 420, 2983, 81, 2665, 710, 2122, 5695, 1877, 26, 528, 6869, 81, 10354, 47, 2122, 32, 7073, 81, 10354, 27, 291, 415, 13602, 44, 324, 420, 2983, 81, 2665, 710, 13547, 785, 280, 428, 2665, 26, 426, 47, 1666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 0, 3, 2, 2, 4, 5, 5, 5, 5, 4, 6, 6, 4, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 8, 9, 8, 4, 4, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 6, 4, 3, 3, 7, 7, 7, 6, 6, 7, 7, 10, 10, 8, 10, 9, 10, 7, 7, 7, 10, 10, 10, 10, 10, 8, 10, 9, 10, 10, 10, 10, 7, 7, 7, 4, 4, 7, 7, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 8, 8, 11, 12, 12, 12, 12, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 10, 10, 10, 9, 11, 11, 8, 8, 11, 11, 9, 9, 9, 9, 11, 11, 6, 6, 10, 10, 10, 9, 11, 11, 8, 8, 9, 9, 12, 12, 10, 10, 11, 12, 10, 10, 12, 12, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 8, 11, 11, 11, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 6, 6, 9, 9, 8, 8, 11, 12, 12, 12, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 13, 13, 13, 13, 11, 6, 6, 7, 7, 7, 7, 7, 7, 12, 12, 12, 11, 12, 11, 10, 10, 12, 11, 12, 11, 6, 6, 10, 10, 10, 9, 11, 11, 8, 8, 9, 9, 12, 12, 10, 11, 12, 9, 9, 9, 12, 12, 10, 12, 11, 12, 9, 9, 9, 6, 6, 7, 8, 8, 8, 8, 7, 7, 7, 13, 13, 13, 12, 14, 14, 12, 11, 11, 11, 13, 13, 12, 14, 13, 14, 14, 14, 11, 4, 4, 5, 5, 5, 5, 10, 10, 10, 9, 11, 11, 8, 8, 11, 11, 13, 12, 14 ]
[ 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 2, 2, 2, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 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, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 0, 2, 2, 2, 2, 2, 3, 3, 5, 1, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0 ]
[ 465, 2322, 203, 589, 6314, 34268, 2262, 284, 6382, 81, 983, 280, 3056, 869, 33, 1356, 33, 4205, 25, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 4205, 81, 983, 711, 291, 6382, 81, 983, 280, 13637, 284, 442, 2322, 32, 4597, 34268, 26, 4205, 81, 983, 27, 203, 589, 622, 81, 289, 887, 579, 2262, 284, 623, 2156, 3247, 6789, 33, 289, 887, 579, 683, 619, 296, 44, 291, 442, 296, 32, 33232, 346, 203, 589, 622, 81, 10300, 81, 8795, 2262, 284, 376, 280, 6314, 34268, 346, 284, 442, 301, 291, 330, 2999, 950, 376, 32, 88, 81, 8587, 319, 376, 32, 88, 81, 2173, 891, 30, 291, 330, 7230, 950, 376, 32, 88, 81, 84, 20907, 319, 376, 32, 88, 81, 2173, 891, 30, 291, 330, 3985, 950, 308, 270, 32, 88, 81, 8587, 429, 376, 32, 88, 81, 3589, 972, 27, 319, 376, 32, 88, 81, 2173, 891, 284, 320, 203, 589, 3185, 81, 289, 887, 579, 2262, 284, 597, 887, 579, 280, 2149, 284, 436, 17656, 328, 622, 81, 289, 887, 579, 2262, 291, 8710, 280, 17656, 32, 2998, 16487, 683, 291, 415, 2069, 26, 10031, 27, 333, 225, 36, 44, 324, 4036, 291, 1202, 280, 8710, 77, 34, 997, 5729, 346, 291, 786, 280, 8710, 77, 35, 997, 7201, 346, 291, 8710, 280, 786, 32, 2998, 463, 11134, 291, 786, 280, 8710, 77, 34, 79, 291, 415, 646, 786, 32, 44065, 2262, 324, 4036, 291, 786, 280, 629, 26, 10031, 77, 34, 1130, 291, 415, 2069, 26, 10031, 27, 848, 225, 35, 461, 8710, 77, 35, 79, 610, 330, 37000, 950, 324, 786, 10439, 225, 35, 34, 36, 38, 291, 597, 887, 579, 77, 678, 79, 280, 786, 284, 442, 597, 887, 579, 203, 589, 622, 81, 5566, 81, 8795, 2262, 284, 597, 887, 579, 280, 3185, 81, 289, 887, 579, 346, 284, 3380, 280, 597, 887, 579, 32, 371, 463, 289, 1601, 1557, 370, 225, 34, 27, 284, 3741, 280, 597, 887, 579, 32, 371, 463, 1835, 3994, 370, 225, 34, 27, 284, 3741, 1454, 597, 887, 579, 32, 371, 463, 10569, 370, 225, 34, 27, 284, 3741, 1454, 597, 887, 579, 32, 371, 463, 15657, 370, 225, 34, 27, 284, 442, 301, 291, 330, 2999, 950, 3380, 30, 291, 330, 3994, 950, 3741, 30, 291, 330, 3985, 950, 3380, 429, 3741, 284, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 3, 3, 7, 7, 6, 6, 2, 2, 3, 5, 6, 6, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 8, 10, 10, 10, 10, 10, 10, 6, 6, 3, 3, 3, 5, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 3, 4, 4, 7, 7, 5, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 4, 4, 4, 7, 7, 5, 7, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 4, 4, 4, 7, 7, 5, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 7, 6, 6, 7, 8, 8, 8, 8, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 6, 6, 8, 9, 8, 10, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 4, 4, 6, 6, 9, 10, 9, 9, 8, 4, 4, 6, 6, 9, 10, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 4, 4, 6, 6, 7, 8, 7, 4, 4, 5, 6, 8, 9, 8, 5, 5, 4, 4, 6, 6, 8, 10, 9, 10, 9, 4, 4, 5, 9, 10, 9, 7, 7, 8, 6, 6, 8, 9, 8, 7, 7, 9, 9, 5, 5, 8, 8, 9, 9, 9, 9, 4, 4, 8, 8, 7, 8, 7, 6, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 6, 7, 6, 2, 2, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 6, 7, 6, 2, 2, 4, 4, 7, 7, 6, 7, 6, 8, 8, 6, 7, 6, 2, 2, 4, 4, 7, 7, 6, 7, 6, 8, 8, 6, 7, 6, 2, 2, 3, 4, 4, 7, 7, 5, 4, 4, 4, 7, 7, 5, 4, 4, 4, 7, 7, 5, 6, 6, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 4, 4, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 3, 3, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 5, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 0, 2, 1, 5, 5, 0, 0, 0, 2, 0, 2, 1, 5, 5, 0, 0, 0, 2, 1, 1, 5, 5, 0, 0, 2, 2, 2, 5, 5, 6, 1, 0, 2, 1, 6, 6, 5, 5, 0, 0, 1, 0, 1, 2, 1, 5, 5, 8, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 8, 8, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 0, 0, 0, 4, 4, 2, 1, 1, 0, 5, 5, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 5, 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 ]
[ 465, 2322, 32, 983, 203, 1070, 29969, 1188, 5380, 30, 31168, 1215, 203, 823, 399, 44, 284, 665, 1156, 88, 17611, 3207, 784, 27, 967, 596, 44, 291, 3097, 203, 83, 280, 399, 346, 203, 1676, 26, 83, 27, 203, 500, 32, 88, 17611, 26, 83, 27, 203, 500, 32, 2548, 4434, 26, 83, 27, 203, 500, 32, 2548, 5460, 26, 83, 27, 203, 1215, 26, 83, 27, 203, 24278, 1215, 26, 83, 27, 203, 500, 32, 983, 32, 21379, 26, 83, 27, 203, 823, 551, 44, 284, 3097, 203, 84, 280, 551, 346, 203, 1676, 12477, 5691, 42004, 347, 7700, 827, 330, 14185, 77, 466, 30, 3519, 30, 5380, 12054, 77, 466, 614, 5380, 12054, 77, 3651, 614, 629, 16249, 5424, 330, 52, 25, 4174, 413, 84, 377, 5691, 5103, 203, 500, 32, 88, 17611, 12477, 5691, 42004, 347, 10203, 827, 26, 101, 711, 26, 52, 27, 23708, 827, 26, 101, 711, 26, 1215, 12054, 77, 14185, 77, 14185, 77, 466, 30, 3519, 614, 6204, 13138, 26, 3651, 2502, 466, 13129, 84, 377, 5691, 5103, 203, 500, 32, 2548, 4434, 12477, 5691, 42004, 347, 7700, 827, 330, 14185, 77, 466, 30, 3519, 30, 5380, 12054, 16249, 5424, 330, 52, 25, 4174, 413, 84, 377, 5691, 5103, 203, 500, 32, 2548, 5460, 12477, 5691, 42004, 347, 7700, 827, 330, 14185, 77, 466, 30, 3519, 30, 5380, 12054, 16249, 5424, 330, 52, 25, 4174, 413, 84, 377, 5691, 5103, 203, 1215, 12477, 5691, 42004, 347, 7700, 827, 330, 14185, 77, 466, 30, 5380, 12054, 77, 466, 3212, 370, 5424, 330, 52, 25, 4174, 413, 84, 377, 5691, 5103, 203, 24278, 1215, 12477, 5691, 42004, 347, 7700, 827, 330, 14185, 77, 466, 30, 5380, 12054, 77, 466, 3212, 370, 5424, 330, 52, 25, 4174, 413, 84, 377, 5691, 5103, 203, 500, 32, 983, 32, 21379, 12477, 5691, 42004, 347, 10203, 827, 26, 101, 711, 26, 52, 27, 23708, 827, 26, 101, 711, 26, 4277, 2007, 2502, 1215, 12054, 77, 14185, 77, 14185, 77, 466, 30, 3519, 614, 6204, 13138, 413, 84, 377, 5691, 5103, 203, 98, 280, 5380, 46661, 203, 1676, 26, 98, 27, 203, 500, 32, 88, 17611, 26, 98, 27, 203, 500, 32, 2548, 4434, 26, 98, 27, 203, 500, 32, 2548, 5460, 26, 98, 27, 203, 1215, 26, 98, 27, 203, 24278, 1215, 26, 98, 27, 203, 500, 32, 983, 32, 21379, 26, 98, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 0, 3, 3, 4, 3, 0, 4, 3, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 3, 4, 3, 0, 3, 3, 4, 3, 0, 3, 3, 3, 4, 3, 0, 5, 4, 5, 3, 4, 3, 4, 3, 0, 1, 1, 1, 1, 1, 0, 3, 2, 2, 4, 0, 3, 3, 3, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 3, 3, 5, 4, 5, 5, 4, 4, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 3, 3, 5, 4, 5, 5, 4, 4, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 3, 3, 5, 4, 5, 5, 4, 4, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 3, 3, 4, 4, 4, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 3, 3, 4, 4, 4, 4, 0, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 4, 3, 3, 6, 5, 6, 4, 5, 4, 4, 0, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 5, 4, 4, 5, 2, 2, 4, 0, 3, 3, 4, 3, 0, 4, 3, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 3, 4, 3, 0, 3, 3, 4, 3, 0, 3, 3, 3, 4, 3, 0, 5, 4, 5, 3, 4, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 11, 11, 11, 11, 11, 0, 0, 0, 0, 1, 0, 0, 1, 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, 2, 2, 2, 5, 2, 2, 0, 8, 2, 2, 9, 11, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 2, 2, 0, 8, 2, 2, 9, 11, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 2, 2, 0, 8, 2, 2, 9, 11, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 2, 2, 8, 9, 11, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 2, 2, 8, 8, 9, 11, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 2, 2, 0, 0, 2, 8, 2, 9, 11, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 1, 1, 8, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1270, 44, 284, 645, 22045, 1188, 3185, 619, 1984, 2208, 203, 7343, 29986, 44, 284, 1188, 1984, 2208, 264, 203, 1070, 8527, 32, 8538, 32, 3378, 1188, 2926, 48869, 81, 5792, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 2304, 1188, 12954, 445, 2582, 203, 1070, 8527, 32, 2304, 32, 916, 1188, 15820, 203, 1070, 8527, 81, 23819, 1188, 21754, 30, 24401, 30, 3829, 203, 1070, 8527, 81, 23819, 32, 2957, 1188, 4070, 203, 1070, 8527, 81, 23819, 32, 4882, 32, 3378, 1188, 11038, 203, 823, 2108, 10914, 1908, 3763, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 3555, 24401, 32, 23819, 291, 630, 32, 1241, 280, 2926, 48869, 81, 5792, 26, 324, 11038, 30, 3829, 11414, 7035, 2188, 324, 21754, 12516, 7035, 950, 21754, 32, 10914, 1908, 3763, 1748, 284, 665, 28921, 26, 784, 711, 291, 3555, 24401, 32, 23819, 284, 665, 894, 81, 1206, 81, 1536, 81, 3854, 26, 784, 711, 291, 3720, 280, 2926, 48869, 81, 5792, 26, 6005, 30, 3829, 11414, 7035, 3490, 291, 6852, 280, 3720, 922, 4151, 710, 7035, 5695, 3854, 291, 630, 32, 14846, 26, 38003, 26, 3854, 30, 21754, 32, 10914, 1908, 3763, 490, 284, 665, 894, 81, 3169, 81, 4752, 81, 4555, 81, 965, 26, 784, 711, 291, 623, 630, 32, 3550, 26, 19006, 1310, 12145, 81, 13008, 12516, 10046, 950, 330, 1450, 581, 6040, 711, 324, 4159, 280, 630, 32, 1241, 922, 302, 81, 98, 346, 324, 630, 32, 33966, 26, 11731, 26, 965, 2208, 32, 965, 2524, 26, 400, 4070, 32, 14673, 81, 2413, 30, 4070, 32, 19006, 1310, 12145, 81, 4694, 81, 2413, 3662, 4159, 27, 284, 665, 894, 81, 3169, 26, 784, 711, 291, 623, 630, 32, 3550, 26, 19006, 1310, 12145, 81, 13008, 12516, 10046, 950, 330, 1450, 581, 6040, 711, 324, 4159, 280, 630, 32, 1241, 922, 302, 81, 98, 346, 324, 630, 32, 33966, 26, 4151, 32, 10914, 463, 505, 1814, 4555, 30, 4159, 27, 324, 630, 32, 31196, 383, 26, 4151, 32, 10914, 463, 10046, 1814, 4555, 30, 4159, 27, 284, 665, 894, 81, 3169, 81, 4332, 26, 784, 711, 291, 623, 630, 32, 3550, 26, 19006, 1310, 12145, 81, 13008, 12516, 10046, 950, 330, 1450, 581, 6040, 711, 324, 4159, 280, 630, 32, 1241, 26, 4332, 12516, 7035, 950, 330, 10046, 6040, 547, 302, 81, 98, 346, 324, 630, 32, 33966, 26, 4151, 32, 10914, 463, 10046, 1814, 4555, 30, 4159, 27, 324, 630, 32, 31196, 383, 26, 4151, 32, 10914, 463, 505, 1814, 4555, 30, 4159, 27, 284, 665, 894, 81, 3169, 81, 307, 3625, 299, 26, 784, 711, 291, 1688, 280, 21754, 32, 10914, 1908, 3763, 922, 3169, 463, 858, 370, 4145, 1423, 22639, 291, 630, 32, 33966, 41392, 2159, 45, 1423, 24, 1837, 22606, 1688, 27, 291, 630, 32, 31196, 383, 10385, 1423, 10154, 1688, 27, 291, 630, 32, 6549, 26, 38003, 26, 2024, 30, 12954, 445, 2582, 32, 11691, 750, 490, 284, 665, 894, 81, 3169, 81, 2816, 48869, 81, 2386, 26, 784, 711, 291, 4916 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 4, 4, 5, 1, 2, 2, 2, 2, 2, 4, 6, 0, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 4, 5, 4, 3, 3, 5, 6, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 12, 12, 8, 8, 9, 13, 13, 11, 12, 13, 13, 13, 10, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 9, 8, 8, 9, 12, 12, 4, 4, 6, 6, 11, 10, 8, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 10, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 11, 11, 11, 11, 11, 10, 14, 14, 12, 14, 14, 14, 9, 5, 5, 8, 8, 12, 13, 12, 11, 11, 11, 10, 6, 6, 9, 10, 9, 11, 11, 14, 14, 13, 14, 14, 13, 13, 13, 14, 15, 15, 15, 13, 13, 14, 15, 15, 15, 15, 15, 15, 15, 13, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 11, 11, 11, 11, 11, 10, 14, 14, 12, 14, 14, 14, 9, 5, 5, 8, 8, 12, 13, 12, 11, 11, 11, 10, 6, 6, 9, 10, 9, 13, 12, 13, 12, 14, 14, 11, 9, 9, 9, 6, 6, 9, 10, 10, 9, 13, 12, 13, 12, 14, 14, 11, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 11, 11, 11, 11, 11, 10, 14, 14, 12, 14, 14, 14, 9, 5, 5, 8, 8, 12, 13, 12, 14, 13, 17, 17, 15, 17, 17, 12, 11, 11, 11, 10, 6, 6, 9, 10, 9, 13, 12, 13, 12, 14, 14, 11, 9, 9, 9, 6, 6, 9, 10, 10, 9, 13, 12, 13, 12, 14, 14, 11, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 10, 9, 8, 10, 10, 8, 10, 10, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 8, 7, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 11, 11, 10, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 3, 3, 2, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 1, 1, 2, 1, 2, 9, 9, 0, 2, 1, 2, 0, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 5, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 4, 4, 0, 0, 1, 2, 0, 1, 2, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 3, 3, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 3, 3, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7 ]
[ 465, 2361, 203, 1070, 20717, 1188, 20642, 3103, 2281, 30, 5547, 1959, 203, 465, 6436, 619, 2065, 203, 1070, 3619, 42634, 905, 32, 2304, 32, 48232, 1188, 11086, 81, 9941, 203, 1070, 7515, 1188, 14291, 279, 30, 11443, 203, 823, 4354, 45927, 905, 2526, 444, 26, 1473, 711, 284, 1156, 2559, 32095, 505, 280, 20642, 3103, 2281, 284, 477, 2433, 284, 477, 37697, 284, 665, 372, 81, 2665, 26, 784, 711, 291, 3097, 284, 477, 17614, 284, 665, 645, 81, 2665, 26, 6933, 30, 2361, 81, 2665, 711, 291, 1638, 800, 280, 4247, 291, 436, 1202, 328, 2361, 81, 2665, 44, 324, 1638, 800, 1454, 1202, 474, 34020, 474, 596, 26, 1260, 81, 2665, 77, 678, 1130, 474, 5769, 330, 291, 1638, 800, 280, 1638, 800, 20129, 36, 79, 291, 1459, 26, 466, 26, 6933, 27, 474, 32096, 474, 1638, 800, 474, 11134, 683, 291, 442, 9967, 26, 466, 26, 6933, 27, 474, 32096, 474, 1638, 800, 474, 11134, 683, 284, 477, 2433, 284, 665, 372, 81, 1260, 26, 784, 711, 291, 442, 2361, 32, 16958, 26, 784, 27, 284, 665, 4131, 81, 452, 81, 761, 26, 784, 30, 4870, 711, 291, 623, 2156, 26, 3607, 30, 313, 105, 657, 619, 296, 44, 324, 2361, 32, 5937, 26, 784, 30, 296, 27, 203, 589, 10140, 81, 15248, 26, 853, 711, 284, 786, 280, 11086, 81, 9941, 26, 853, 27, 284, 415, 786, 438, 1665, 44, 291, 442, 1665, 284, 4348, 6937, 26, 853, 30, 5436, 711, 291, 537, 81, 853, 280, 2149, 291, 436, 595, 328, 786, 44, 324, 537, 81, 853, 77, 91, 79, 280, 10140, 81, 15248, 26, 853, 77, 91, 1130, 291, 442, 537, 81, 853, 284, 4348, 19326, 26, 853, 30, 11477, 1731, 505, 7831, 291, 442, 428, 9947, 81, 15248, 26, 2543, 27, 436, 1994, 328, 786, 79, 284, 4348, 6937, 26, 853, 30, 596, 711, 291, 442, 786, 284, 4348, 6937, 26, 853, 30, 14291, 279, 711, 291, 442, 629, 26, 853, 27, 284, 4348, 6937, 26, 853, 30, 11443, 711, 291, 442, 1897, 26, 853, 27, 284, 4348, 6937, 26, 853, 30, 2065, 32, 5823, 711, 291, 442, 629, 26, 853, 27, 284, 4348, 6937, 26, 853, 30, 2065, 32, 1808, 711, 291, 442, 1897, 26, 853, 27, 284, 813, 44, 291, 3636, 10091, 440, 9752, 646, 12741, 458, 44, 904, 101, 432, 827, 44, 904, 101, 20, 904, 308, 853, 30, 827, 26, 853, 2610, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 2, 2, 5, 3, 3, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 8, 7, 7, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 10, 9, 9, 12, 12, 11, 11, 13, 15, 15, 15, 14, 15, 14, 10, 10, 12, 5, 5, 8, 7, 7, 9, 8, 11, 8, 5, 5, 8, 13, 13, 14, 13, 11, 11, 10, 10, 11, 9, 9, 11, 5, 5, 6, 8, 13, 13, 14, 13, 11, 11, 10, 10, 11, 9, 9, 11, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 10, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 10, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 8, 8, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 11, 11, 10, 11, 10, 9, 9, 11, 11, 11, 13, 12, 13, 12, 5, 5, 6, 7, 7, 3, 3, 4, 6, 7, 6, 6, 8, 8, 8, 4, 4, 6, 9, 9, 9, 9, 10, 9, 7, 8, 8, 8, 7, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 6, 3, 3, 4, 6, 7, 6, 6, 7, 6, 4, 4, 6, 8, 9, 8, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 6, 8, 9, 8, 3, 3, 4, 6, 7, 6, 6, 7, 8, 6, 4, 4, 6, 8, 9, 8, 3, 3, 4, 6, 7, 6, 6, 7, 8, 6, 4, 4, 6, 8, 9, 8, 3, 3, 4, 4, 4, 6, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 10, 12, 13, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 2, 4, 4, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 4, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 2, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 6, 1, 1, 1, 1, 1, 6, 6, 0, 1, 1, 7, 1, 1, 1, 1, 3, 1, 7, 7, 0, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 8, 8, 0, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 3, 2, 1, 9, 9, 0, 1, 1, 1, 1, 1, 10, 1, 1, 1, 1, 3, 2, 1, 10, 10, 0, 1, 1, 1, 1, 1, 11, 11, 11, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15013, 81, 45069, 280, 301, 284, 330, 16925, 370, 330, 91, 16925, 370, 330, 4752, 370, 330, 295, 388, 1907, 370, 330, 1837, 370, 330, 33597, 370, 330, 2159, 370, 330, 23825, 370, 330, 266, 370, 284, 330, 15990, 370, 330, 427, 502, 15285, 370, 330, 20643, 370, 330, 91, 20643, 370, 330, 3585, 370, 330, 4548, 370, 284, 330, 5904, 370, 330, 3368, 370, 330, 9892, 81, 3368, 370, 330, 11302, 370, 330, 19880, 370, 330, 3090, 370, 330, 45087, 370, 330, 1903, 370, 284, 330, 7920, 370, 330, 548, 4024, 370, 203, 111, 203, 2788, 81, 20956, 81, 37082, 81, 3364, 280, 225, 35, 34, 34, 203, 18174, 280, 330, 6844, 25, 203, 20799, 280, 330, 6270, 25, 203, 33437, 280, 330, 7017, 25, 203, 2576, 81, 23763, 280, 330, 1347, 3276, 25, 203, 9349, 81, 21589, 280, 316, 32, 6993, 26, 100, 10255, 47170, 6448, 29, 34414, 77, 5327, 105, 6155, 22, 683, 203, 9349, 81, 3197, 280, 301, 284, 330, 17567, 950, 2726, 17567, 370, 330, 12344, 1425, 284, 330, 12344, 950, 2726, 12344, 370, 330, 17567, 1425, 203, 111, 203, 27025, 280, 330, 27025, 13039, 25, 203, 1305, 1068, 527, 280, 330, 10765, 6995, 527, 13039, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 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, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 7, 7, 5, 7, 7, 3, 3, 6, 6, 4, 7, 7, 5, 7, 7, 3, 3, 0, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 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 ]
[ 465, 15798, 203, 1070, 8527, 32, 2304, 1188, 4159, 203, 823, 40145, 6441, 26, 18986, 32, 7233, 711, 284, 665, 1505, 81, 2024, 26, 784, 30, 667, 30, 786, 30, 1688, 47, 2521, 711, 291, 415, 1688, 438, 1665, 44, 324, 1688, 280, 786, 291, 630, 32, 5299, 26, 1126, 26, 853, 471, 1688, 27, 284, 665, 894, 81, 11731, 26, 784, 711, 291, 296, 280, 4159, 32, 11731, 291, 3946, 280, 308, 324, 2726, 24, 1195, 24, 757, 45, 1425, 324, 2726, 46, 370, 15441, 2159, 45, 1425, 324, 2726, 10154, 15441, 1837, 45, 1425, 324, 2726, 21684, 15441, 2462, 45, 1425, 324, 2884, 13042, 330, 5233, 37, 43, 45, 1425, 291, 829, 291, 15103, 280, 2884, 23, 101, 392, 313, 28343, 23, 101, 2995, 2496, 392, 5461, 101, 35, 392, 313, 35, 23, 5682, 657, 291, 436, 786, 30, 1688, 328, 3946, 44, 324, 436, 5257, 328, 15103, 44, 400, 630, 32, 1553, 81, 2024, 26, 88, 30, 5257, 904, 786, 30, 5257, 904, 1688, 27, 324, 630, 32, 1553, 81, 2024, 26, 88, 30, 786, 319, 225, 36, 30, 1688, 319, 225, 36, 27, 291, 630, 32, 1553, 81, 2024, 26, 88, 30, 4145, 24, 370, 15441, 2159, 2395, 757, 45, 683, 284, 665, 894, 81, 928, 2969, 101, 26, 784, 711, 291, 296, 280, 4159, 32, 928, 2969, 101, 291, 3946, 280, 308, 324, 2884, 9719, 35, 78, 96, 78, 96, 9719, 36, 78, 100, 78, 100, 9719, 37, 392, 3778, 98, 48, 9719, 35, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 36, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 37, 377, 98, 48, 2113, 324, 2884, 9719, 35, 78, 96, 1113, 35, 78, 100, 1113, 36, 78, 96, 78, 96, 9719, 36, 392, 3778, 98, 48, 9719, 35, 46, 839, 1681, 1113, 35, 46, 839, 1681, 1113, 36, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 36, 377, 98, 48, 2113, 324, 2884, 9719, 35, 78, 100, 78, 96, 78, 100, 78, 96, 9719, 36, 78, 100, 1113, 35, 78, 100, 78, 100, 9719, 38, 392, 3778, 98, 48, 9719, 35, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 36, 46, 839, 1681, 1113, 35, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 38, 377, 98, 48, 2113, 324, 2884, 9719, 35, 78, 6546, 686, 78, 96, 78, 96, 9719, 36, 392, 3778, 98, 48, 9719, 35, 78, 6546, 686, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 36, 377, 98, 48, 2113, 291, 829, 291, 436, 786, 30, 1688, 328, 3946, 44, 324, 630, 32, 1553, 81, 2024, 26, 88, 30, 786, 30, 1688, 27, 284, 665, 894, 81, 7201, 81, 3963, 26, 784, 711, 291, 296, 280, 4159, 32, 7201, 81, 3963, 291, 3946, 280, 308, 324, 2726, 46, 27862, 48, 83, 370, 330, 83, 1425, 324, 2726, 377, 27862, 48, 83, 370, 330, 83, 1425, 324, 2726, 46, 28343, 772, 28343, 48, 87, 370, 330, 87, 1425, 324, 2726, 46, 88, 370, 4145, 88, 1425, 324, 2726, 377, 1225, 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, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 8, 10, 10, 10, 7, 7, 10, 8, 10, 10, 10, 7, 7, 10, 8, 10, 10, 10, 10, 10, 7, 7, 4, 4, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 11, 12, 12, 12, 11, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 6, 6, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 11, 9, 9, 10, 10, 11, 9, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 7, 10, 10, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 11, 11, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 11, 11, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 11, 11, 10, 11, 11, 11, 11, 10, 10, 10, 8, 10, 10, 10, 10, 11, 11, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 5, 1, 1, 2, 2, 2, 1, 7, 1, 1, 2, 2, 2, 1, 9, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 2, 1, 1, 5, 5, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 1, 1, 4, 4, 1, 1, 5, 5, 6, 6, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 7, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 2, 7, 1, 2, 2, 2, 1, 1, 2 ]
[ 1070, 3619, 32725, 32, 14548, 1188, 47484, 203, 1070, 3619, 32725, 32, 1040, 1188, 622, 81, 2420, 81, 2215, 203, 505, 464, 505, 280, 2107, 5106, 1227, 8736, 785, 203, 823, 31886, 1227, 8736, 26, 8736, 711, 284, 636, 280, 330, 5106, 1227, 25, 284, 20664, 280, 2107, 2882, 687, 370, 330, 2882, 785, 284, 26719, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 2184, 711, 291, 47484, 3667, 1664, 3207, 784, 30, 1115, 2184, 27, 291, 630, 1114, 687, 280, 622, 81, 2420, 81, 2215, 26, 2184, 30, 330, 687, 2142, 370, 3177, 27, 291, 630, 1114, 20111, 280, 622, 81, 2420, 81, 2215, 26, 2184, 30, 330, 1211, 1028, 388, 370, 3177, 27, 291, 630, 32, 3481, 280, 2149, 291, 630, 1114, 2682, 81, 3481, 346, 284, 665, 617, 2682, 81, 3481, 26, 784, 711, 291, 436, 273, 681, 30, 310, 589, 328, 630, 32, 1621, 44, 324, 1477, 280, 943, 280, 4247, 324, 415, 310, 589, 710, 1489, 12132, 400, 1477, 1454, 13198, 1489, 22664, 23, 101, 18262, 904, 310, 589, 710, 1489, 785, 400, 943, 280, 13198, 33, 1489, 18262, 474, 943, 324, 415, 310, 589, 710, 8570, 12132, 400, 1477, 1454, 13198, 84, 18262, 400, 943, 280, 13198, 33, 84, 18262, 474, 943, 324, 415, 310, 589, 710, 20341, 12132, 400, 1477, 1454, 13198, 91, 18262, 400, 943, 280, 13198, 33, 91, 18262, 474, 943, 324, 415, 310, 589, 710, 26462, 12132, 400, 1477, 1454, 13198, 103, 18262, 400, 943, 280, 13198, 33, 103, 18262, 474, 943, 324, 630, 32, 3481, 77, 102, 681, 79, 280, 1477, 30, 943, 284, 665, 2179, 81, 311, 12596, 26, 784, 30, 2404, 1855, 30, 28388, 711, 291, 415, 630, 1114, 687, 44, 324, 28388, 32, 1821, 14969, 687, 26392, 291, 415, 630, 1114, 20111, 44, 324, 28388, 32, 1821, 14969, 2186, 47, 20111, 1166, 26392, 291, 2401, 695, 280, 4247, 291, 2401, 681, 280, 1665, 291, 436, 273, 681, 30, 786, 328, 2404, 1855, 44, 324, 2218, 273, 681, 646, 328, 630, 32, 3481, 44, 400, 273, 681, 280, 273, 681, 32, 2544, 324, 415, 273, 681, 610, 2401, 681, 44, 400, 2401, 695, 1454, 786, 324, 813, 44, 400, 415, 2401, 695, 44, 528, 1477, 30, 943, 280, 630, 32, 3481, 77, 2135, 681, 79, 528, 28388, 32, 1821, 463, 2473, 2524, 1162, 1366, 30, 2401, 695, 30, 943, 2610, 400, 2401, 695, 280, 786, 400, 2401, 681, 280, 273, 681, 291, 415, 2401, 695, 44, 324, 1477, 30, 943, 280, 630, 32, 3481, 77, 2135, 681, 79, 324, 28388, 32, 1821, 463, 2473, 2524, 1162, 1366, 30, 2401, 695, 30, 943, 2610, 291, 415, 630, 1114, 20111, 44, 324, 28388, 32, 1821, 14969, 33, 2186, 26392, 291, 415, 630, 1114, 687, 44, 324, 28388, 32, 1821, 14969, 33, 687, 26392, 291, 415, 630, 1114, 687, 556, 630, 1114, 20111, 44, 324, 28388, 32, 1821, 9442, 96, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 7, 7, 7, 5, 7, 7, 2, 2, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 10, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 6, 7, 5, 5, 6, 7, 5, 5, 5, 8, 8, 9, 9, 6, 6, 7, 9, 8, 10, 10, 7, 7, 10, 10, 13, 13, 13, 13, 13, 11, 11, 13, 12, 14, 14, 8, 8, 10, 10, 13, 13, 13, 11, 11, 6, 6, 7, 9, 8, 10, 10, 7, 7, 10, 10, 12, 12, 8, 8, 10, 10, 13, 13, 13, 11, 11, 6, 6, 7, 9, 8, 10, 10, 7, 7, 10, 10, 12, 12, 8, 8, 10, 10, 13, 13, 13, 11, 11, 6, 6, 7, 9, 8, 10, 10, 7, 7, 10, 10, 12, 12, 8, 8, 10, 10, 13, 13, 13, 11, 11, 6, 6, 10, 11, 9, 10, 10, 9, 8, 8, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 5, 5, 5, 9, 10, 9, 11, 11, 4, 4, 5, 6, 7, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 4, 4, 7, 6, 6, 4, 4, 7, 6, 6, 4, 4, 5, 7, 6, 6, 5, 5, 6, 5, 5, 5, 7, 9, 8, 8, 8, 9, 10, 7, 7, 7, 11, 10, 10, 12, 11, 12, 6, 6, 7, 9, 8, 8, 9, 7, 7, 7, 11, 10, 10, 7, 7, 8, 8, 8, 10, 11, 10, 10, 10, 14, 14, 13, 13, 15, 16, 14, 15, 15, 14, 11, 11, 14, 15, 14, 18, 17, 16, 18, 17, 17, 18, 17, 17, 17, 9, 9, 12, 11, 11, 9, 9, 12, 11, 11, 12, 4, 4, 5, 6, 5, 5, 5, 9, 9, 8, 8, 10, 11, 9, 10, 10, 9, 6, 6, 9, 10, 9, 13, 12, 11, 13, 12, 12, 13, 12, 12, 12, 4, 4, 5, 6, 7, 5, 5, 5, 9, 10, 9, 11, 11, 11, 4, 4, 5, 6, 7, 5, 5, 5, 9, 10, 9, 11, 11, 11, 4, 4, 5, 7, 8, 6, 6, 7, 8, 5, 5, 5, 9, 10, 9, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 4, 4, 3, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 1, 2, 0, 0, 3, 2, 0, 0, 0, 0, 0, 2, 2, 5, 5, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 2, 2, 5, 5, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 3, 3, 0, 0, 1, 1, 1, 2, 2, 5, 5, 3, 0, 1, 1, 2, 3, 3, 0, 0, 1, 1, 3, 3, 0, 0, 1, 1, 1, 2, 2, 5, 5, 4, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 3, 3, 0, 0, 1, 1, 1, 2, 2, 5, 5, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 5, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, 0, 1, 1, 4, 4, 3, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 5, 5, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 4, 4, 4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 4, 4, 5, 1, 5, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 6, 1, 2, 6, 6, 6, 0, 2, 1, 1, 1, 1, 4, 4, 7, 1, 2, 7, 7, 7, 0, 2, 1, 1, 1, 1, 4, 4, 8, 0, 2, 1, 1, 2, 2, 8, 8, 8, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 1199, 32, 3378, 32, 1217, 81, 2304, 1188, 1910, 203, 1070, 8527, 32, 1262, 32, 2613, 1188, 3320, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 465, 4134, 203, 465, 3995, 203, 1070, 7138, 1188, 30784, 203, 1070, 8527, 81, 9721, 32, 2304, 1188, 13022, 81, 6665, 619, 7138, 203, 1070, 8527, 32, 12023, 32, 1286, 2516, 32, 3378, 1188, 38718, 203, 465, 5741, 203, 1070, 2156, 81, 9721, 32, 11452, 1188, 16812, 984, 30, 18094, 3410, 1104, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 18660, 1240, 1572, 26, 3378, 32, 1572, 711, 284, 665, 2290, 81, 3707, 26, 784, 30, 11792, 30, 1695, 81, 37741, 47, 2521, 711, 291, 5881, 291, 43437, 30, 312, 1149, 432, 3233, 11792, 291, 3772, 6645, 470, 30, 322, 1695, 36104, 328, 1510, 996, 884, 20286, 291, 5881, 291, 415, 1695, 81, 37741, 438, 1665, 44, 324, 1695, 81, 37741, 280, 630, 32, 464, 346, 291, 10582, 280, 1605, 291, 436, 2467, 328, 11792, 44, 324, 2530, 280, 1910, 26, 400, 636, 505, 427, 502, 15285, 47, 1217, 27, 523, 1910, 26, 426, 505, 295, 388, 1907, 1057, 904, 101, 25, 904, 2467, 27, 324, 10582, 32, 1689, 26, 2872, 27, 291, 4250, 280, 1695, 81, 37741, 32, 2029, 26, 8920, 26, 2989, 32, 363, 3739, 10582, 490, 291, 442, 4250, 284, 665, 3995, 81, 9721, 81, 26740, 26, 784, 30, 1256, 30, 17687, 47, 2521, 30, 2723, 47, 37, 711, 291, 5881, 291, 3759, 312, 3995, 3964, 432, 1370, 35693, 22523, 291, 16106, 280, 5104, 432, 22523, 291, 40469, 280, 1665, 30, 488, 556, 506, 291, 5881, 291, 1201, 17687, 328, 308, 324, 1665, 30, 330, 63, 370, 330, 56, 1425, 330, 18306, 904, 101, 1597, 566, 27149, 25, 904, 17687, 291, 645, 8527, 81, 9721, 32, 2304, 1188, 622, 81, 3959, 81, 1160, 291, 35513, 81, 2613, 81, 678, 280, 330, 9721, 81, 3707, 16335, 101, 25, 904, 1256, 32, 314, 291, 2979, 81, 7910, 280, 3320, 32, 371, 26, 9721, 81, 2613, 81, 678, 27, 291, 6274, 81, 823, 280, 622, 81, 3959, 81, 1160, 346, 291, 415, 646, 2979, 81, 7910, 44, 324, 35513, 81, 3707, 280, 1149, 26, 400, 630, 32, 2029, 26, 496, 81, 314, 47, 496, 32, 314, 30, 17687, 47, 13738, 27, 2867, 39, 34, 1130, 324, 35513, 81, 3631, 280, 428, 103, 32, 9721, 81, 314, 436, 1044, 328, 35513, 81, 3707, 79, 324, 8999, 280, 1149, 26, 3959, 81, 823, 32, 5740, 32, 2029, 26, 400, 35513, 81, 314, 505, 266, 47, 9721, 81, 3631, 547, 1613, 81, 10513, 463, 496, 2847, 324, 5809, 81, 3631, 280, 428, 98, 32, 9721, 81, 314, 436, 298, 328, 8999, 79, 324, 2979, 81, 7910, 280, 428, 400, 1044, 436, 1044, 328, 35513, 81, 3707, 415, 1044, 32, 9721, 81, 314, 646, 328, 5809, 81, 3631, 79, 324, 3320, 32, 470, 26, 9721, 81, 2613, 81, 678, 30, 2979, 81, 7910, 30, 225, 40, 34, 319, 225, 40, 34, 27, 291, 3995, 81, 3248, 280, 1847, 26, 1657, 26, 3780, 81, 7910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 8, 8, 11, 11, 11, 13, 13, 13, 13, 12, 13, 11, 9, 9, 11, 13, 13, 13, 13, 13, 12, 15, 15, 15, 13, 13, 11, 6, 6, 9, 10, 9, 10, 9, 4, 4, 6, 6, 9, 9, 8, 9, 8, 10, 10, 12, 11, 12, 12, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 6, 7, 7, 7, 7, 9, 9, 7, 9, 9, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 5, 7, 7, 6, 7, 5, 5, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 10, 10, 13, 14, 13, 15, 15, 15, 14, 16, 15, 16, 13, 13, 14, 15, 13, 11, 13, 13, 11, 6, 6, 9, 9, 8, 8, 11, 10, 11, 11, 11, 9, 10, 10, 10, 11, 11, 9, 6, 6, 8, 8, 10, 16, 16, 16, 15, 16, 14, 15, 14, 14, 14, 16, 16, 16, 16, 15, 16, 16, 16, 14, 13, 13, 13, 12, 14, 14, 6, 6, 9, 9, 8, 8, 11, 10, 11, 11, 11, 9, 10, 10, 10, 9, 6, 6, 9, 9, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 9, 10, 12, 13, 13, 13, 11, 11, 11, 12, 12, 9, 6, 6, 9, 10, 9, 10, 10, 10, 10, 10, 9, 9, 10, 10, 9, 9, 11, 11, 10, 10, 11, 11, 9, 4, 4, 7, 7, 6, 6, 8, 10, 10, 11, 11, 11 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 3, 3, 0, 7, 7, 1, 2, 1, 4, 4, 1, 6, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 11, 11, 1, 1, 2, 0, 1, 2, 2, 11, 11, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 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, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 5, 5, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 4, 4, 5, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 6, 1, 1, 1, 6, 6, 6, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 3, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 3, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 5, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1 ]