Search is not available for this dataset
input_ids
sequencelengths
512
512
attention_mask
sequencelengths
512
512
depths
sequencelengths
512
512
sibling_idxs
sequencelengths
512
512
[ 1070, 1156, 9666, 505, 1188, 34380, 30, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 1933, 1188, 28667, 203, 1070, 3995, 1188, 20564, 203, 1070, 18414, 32, 716, 1188, 2454, 1287, 203, 823, 31705, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 8444, 711, 291, 630, 32, 4687, 280, 8444, 291, 630, 32, 464, 81, 11905, 101, 30, 630, 32, 1251, 81, 4948, 225, 280, 630, 32, 371, 81, 11905, 101, 26, 4687, 32, 11905, 101, 81, 1515, 27, 291, 630, 32, 464, 81, 5919, 225, 280, 630, 32, 371, 81, 5919, 26, 4687, 32, 1172, 81, 1515, 27, 291, 630, 32, 464, 81, 5905, 47, 630, 32, 371, 81, 88, 2281, 3009, 26, 4687, 32, 5905, 81, 1515, 27, 291, 630, 32, 3239, 81, 5459, 280, 2065, 32, 26442, 37254, 2700, 614, 2065, 32, 944, 26, 4687, 32, 1172, 81, 8673, 81, 1515, 474, 330, 3239, 81, 3631, 32, 17632, 21180, 291, 630, 32, 695, 81, 5459, 261, 280, 2065, 32, 26442, 37254, 2700, 614, 2065, 32, 944, 26, 4687, 32, 1172, 81, 8673, 81, 1515, 474, 330, 695, 81, 3631, 32, 17632, 21180, 291, 630, 32, 858, 81, 5459, 225, 280, 2065, 32, 26442, 37254, 2700, 614, 2065, 32, 944, 26, 4687, 32, 1172, 81, 8673, 81, 1515, 474, 330, 858, 81, 3631, 32, 17632, 21180, 291, 630, 32, 1172, 81, 2613, 30, 630, 32, 1877, 81, 2613, 280, 301, 34, 44, 668, 26, 784, 32, 464, 81, 5919, 77, 34, 1130, 835, 2149, 284, 665, 622, 81, 11905, 101, 26, 784, 30, 1519, 711, 291, 13503, 101, 280, 2065, 32, 88, 374, 557, 100, 26, 2356, 32, 944, 2760, 26, 983, 30, 9710, 47, 2356, 32, 410, 490, 16189, 8690, 280, 28667, 26, 11905, 101, 2867, 5437, 35, 1130, 291, 436, 595, 328, 2155, 26, 2356, 32, 3229, 26, 11905, 101, 5594, 34, 10794, 324, 2979, 81, 9880, 280, 2065, 32, 1036, 26, 11905, 101, 77, 91, 79, 848, 225, 34, 27, 324, 13503, 101, 77, 91, 79, 280, 2065, 32, 1019, 26, 11905, 101, 77, 91, 614, 2979, 81, 9880, 27, 291, 442, 13503, 101, 30, 8690, 284, 665, 622, 81, 88, 2281, 3009, 26, 784, 30, 1519, 711, 291, 1169, 81, 5905, 280, 2065, 32, 944, 26, 983, 27, 291, 1169, 81, 5905, 280, 1169, 81, 5905, 32, 15315, 26, 2356, 32, 1808, 37, 36, 30, 1933, 47, 2700, 27, 16189, 1169, 81, 5905, 280, 2065, 32, 26442, 37254, 2356, 32, 9880, 26, 464, 81, 5905, 32, 3229, 77, 35, 1130, 614, 1169, 81, 5905, 471, 225, 34, 27, 291, 442, 1169, 81, 5905, 284, 665, 622, 81, 5919, 26, 784, 30, 1519, 711, 291, 1169, 81, 5919, 280, 2065, 32, 944, 26, 983, 27, 291, 1169, 81, 5919, 280, 2065, 32, 26442, 37254, 2356, 32, 9880, 26, 464, 81, 5919, 32, 3229, 77, 35, 1130, 614, 1169, 81, 5919, 471, 225, 34, 27, 291, 442, 1169, 81, 5919, 284, 665, 24615, 6197, 81, 1172, 81, 2613, 26, 784, 30, 6492, 30, 5166, 711, 291, 1244, 280, 308, 784, 32, 464, 81, 5919 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 8, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 6, 6, 6, 8, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 11, 10, 9, 11, 12, 11, 14, 13, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 4, 4, 7, 8, 8, 8, 6, 6, 6, 8, 9, 8, 11, 10, 9, 11, 12, 11, 14, 13, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 4, 4, 7, 8, 8, 8, 6, 6, 6, 8, 9, 8, 11, 10, 9, 11, 12, 11, 14, 13, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 4, 4, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 6, 6, 10, 9, 11, 11, 14, 13, 14, 14, 14, 12, 13, 12, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 9, 9, 9, 9, 8, 11, 10, 11, 11, 10, 11, 10, 10, 11, 13, 12, 13, 10, 4, 4, 6, 6, 8, 10, 10, 9, 9, 11, 9, 4, 4, 5, 5, 5, 7, 11, 10, 11, 10, 11, 11, 10, 9, 8, 5, 5, 9, 9, 8, 8, 10, 11, 10, 13, 13, 12, 13, 12, 11, 11, 12, 10, 6, 6, 10, 9, 10, 9, 8, 8, 10, 11, 10, 12, 12, 11, 12, 11, 10, 11, 11, 10, 4, 4, 5, 7, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 13, 12, 13, 12, 15, 15, 15, 14, 15, 13, 14, 13, 10, 9, 10, 10, 9, 8, 9, 8, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 13, 12, 13, 12, 15, 15, 15, 14, 15, 13, 14, 13, 10, 9, 10, 10, 9, 8, 9, 8, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 10, 9, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 1, 0, 0, 1, 1, 1, 1, 4, 4, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 5, 5, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 3, 0, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 3, 3, 1, 1, 3, 1, 4, 4, 3, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 3, 3, 1, 1, 3, 1, 4, 4, 2, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2 ]
[ 1070, 29947, 1188, 2290, 81, 5043, 30, 4705, 203, 1793, 2156, 463, 10229, 32, 954, 683, 619, 22388, 81, 761, 44, 284, 22388, 280, 22388, 81, 761, 32, 850, 346, 203, 1793, 2156, 463, 35412, 32, 9632, 683, 619, 8142, 81, 761, 44, 284, 8142, 280, 8142, 81, 761, 32, 850, 346, 203, 1793, 2156, 463, 15965, 32, 2760, 683, 619, 296, 44, 284, 10130, 280, 296, 32, 850, 922, 2998, 4446, 346, 203, 1793, 2156, 463, 15965, 81, 1902, 32, 2760, 683, 619, 296, 44, 284, 10130, 81, 1902, 280, 296, 32, 850, 922, 2998, 4446, 8532, 35, 10056, 203, 1793, 2156, 463, 15965, 81, 1427, 32, 2760, 683, 619, 296, 44, 284, 10130, 81, 1427, 280, 296, 32, 850, 922, 2998, 4446, 346, 203, 1793, 2156, 463, 15965, 81, 2402, 761, 32, 2760, 683, 619, 296, 44, 284, 10130, 81, 2402, 761, 280, 296, 32, 850, 922, 2998, 4446, 346, 203, 5522, 26, 284, 636, 1057, 978, 1409, 104, 370, 284, 1503, 1057, 36, 32, 35, 32, 34, 370, 284, 3048, 47, 440, 51, 4865, 2652, 372, 5822, 706, 645, 475, 1608, 1369, 2704, 493, 771, 6257, 313, 353, 313, 72, 3075, 363, 16005, 308, 1680, 72, 547, 2113, 284, 1946, 81, 2310, 47, 21834, 30, 284, 1946, 81, 2310, 81, 1286, 81, 681, 1057, 878, 33, 8523, 370, 284, 4081, 347, 1680, 72, 31, 72, 3075, 363, 16005, 392, 284, 4081, 81, 1935, 1057, 1409, 104, 50, 104, 3075, 363, 16005, 32, 864, 370, 284, 1984, 1057, 641, 555, 933, 32, 508, 33, 1680, 72, 31, 72, 3075, 363, 16005, 33, 978, 1409, 104, 370, 284, 7599, 47, 1809, 81, 5043, 26, 291, 2305, 11414, 978, 1409, 104, 16578, 284, 2305, 81, 1320, 81, 605, 47, 1815, 30, 284, 2443, 81, 13966, 47, 15965, 30, 284, 3541, 347, 6675, 3541, 392, 284, 8529, 81, 4770, 47, 2700, 30, 284, 16400, 1057, 978, 1409, 104, 370, 284, 43397, 6020, 324, 330, 20235, 5400, 2037, 225, 39, 429, 35548, 33, 32018, 370, 324, 330, 1428, 4611, 37393, 5467, 2037, 36646, 370, 324, 330, 1428, 4611, 37393, 5467, 2037, 19519, 33, 30033, 370, 324, 330, 3786, 2037, 546, 2123, 46573, 2037, 7131, 1177, 370, 324, 330, 34034, 6633, 2037, 17764, 370, 324, 330, 34034, 6633, 2037, 475, 37722, 370, 324, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 370, 324, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 40, 370, 324, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 41, 370, 324, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 42, 370, 324, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 43, 370, 324, 330, 8294, 2037, 6906, 18372, 33, 3711, 8637, 370, 284, 2505, 284, 894, 81, 9089, 1057, 4882, 370, 284, 3312, 81, 1981, 47, 15965, 81, 1902, 30, 284, 35948, 81, 1981, 1279, 291, 330, 2180, 950, 10130, 81, 1427, 30, 291, 330, 46831, 950, 10130, 81, 1902, 30, 291, 330, 2402, 761, 950, 10130, 81, 2402, 761, 284, 320, 203, 27, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 6, 8, 8, 8, 8, 4, 4, 6, 6, 1, 1, 1, 4, 4, 7, 7, 6, 7, 6, 0, 1, 1, 6, 8, 8, 8, 8, 4, 4, 6, 6, 1, 1, 1, 4, 4, 7, 7, 6, 7, 6, 0, 1, 1, 6, 8, 8, 8, 8, 4, 4, 1, 1, 1, 4, 4, 8, 9, 8, 7, 7, 6, 0, 1, 1, 6, 8, 8, 8, 8, 8, 8, 4, 4, 1, 1, 1, 5, 5, 4, 4, 9, 10, 9, 8, 8, 7, 7, 6, 0, 1, 1, 6, 8, 8, 8, 8, 8, 8, 4, 4, 1, 1, 1, 5, 5, 4, 4, 8, 9, 8, 7, 7, 6, 0, 1, 1, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 1, 1, 1, 5, 5, 5, 4, 4, 8, 9, 8, 7, 7, 6, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 5, 4, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 7, 10, 10, 10, 10, 3, 3, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 3, 3, 3, 4, 6, 6, 6, 3, 3, 5, 5, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 5, 5, 4, 6, 6, 3, 3, 5, 5, 4, 5, 5, 5, 3, 3, 3, 5, 5, 4, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 6, 7, 7, 7, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 3, 3, 1, 1, 1, 1, 2, 0, 0, 3, 3, 3, 0, 0, 0, 2, 1, 2, 2, 1, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 9, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 17, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 19, 2, 1, 1, 1, 0, 0, 21, 2, 1, 1, 1, 23, 1, 1, 2, 1, 1, 0, 0, 25, 2, 1, 1, 1, 27, 1, 1, 1, 2, 1, 1, 29, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 31, 1, 2, 1, 1, 0, 0, 33, 2, 2, 2, 1, 1, 1, 0, 0, 35, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 5, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 6204, 9071, 32, 30609, 1188, 42656, 30, 1910, 34914, 30, 1910, 6421, 30, 1910, 2852, 2727, 30, 1910, 1151, 203, 1070, 11993, 1188, 1682, 203, 823, 3903, 15639, 26, 67, 959, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1300, 44, 42656, 30, 2971, 411, 30, 1115, 5321, 711, 291, 2599, 17094, 1664, 3207, 326, 5321, 27, 291, 415, 646, 6937, 26, 1473, 30, 42656, 711, 324, 3636, 12678, 291, 630, 3667, 1473, 280, 1300, 291, 1596, 44, 324, 2069, 26, 19673, 27, 291, 2940, 12678, 44, 324, 2971, 1690, 280, 301, 19673, 111, 291, 813, 44, 324, 2971, 1690, 280, 739, 26, 19673, 27, 291, 630, 3667, 364, 1690, 280, 2971, 1690, 291, 630, 3667, 4133, 280, 1605, 291, 630, 3667, 5837, 280, 1910, 34914, 346, 291, 630, 3667, 7212, 280, 1910, 6421, 26, 784, 30, 3982, 24678, 47, 1815, 27, 291, 630, 3667, 7212, 32, 5457, 32, 3517, 26, 784, 3667, 5837, 32, 16997, 27, 291, 630, 3667, 1473, 32, 3789, 1151, 2348, 26, 784, 27, 284, 665, 4465, 26, 784, 30, 5868, 47, 39, 34, 34, 34, 711, 291, 2385, 280, 2069, 26, 784, 3667, 4133, 27, 291, 630, 3667, 7212, 32, 4048, 346, 291, 630, 3667, 7212, 32, 470, 5757, 26, 5457, 27, 291, 630, 3667, 7212, 32, 1366, 346, 291, 630, 3667, 5837, 32, 2493, 36455, 291, 630, 3667, 7212, 32, 4048, 346, 291, 442, 2069, 26, 784, 3667, 4133, 27, 863, 2385, 284, 665, 1692, 2348, 26, 784, 30, 8814, 1075, 424, 44, 42656, 30, 1692, 44, 1910, 1151, 27, 967, 1560, 44, 291, 415, 8814, 1075, 424, 438, 630, 3667, 1473, 461, 1692, 32, 681, 346, 328, 630, 3667, 364, 1690, 44, 324, 630, 3667, 4133, 32, 1689, 26, 1567, 32, 681, 1157, 324, 415, 630, 3667, 5837, 32, 48156, 2262, 400, 630, 3667, 5837, 32, 16997, 346, 291, 442, 2599, 922, 1567, 2348, 26, 4875, 1075, 424, 30, 1692, 27, 284, 665, 5216, 26, 784, 27, 967, 1682, 77, 67, 1151, 32, 620, 2786, 291, 442, 1149, 26, 784, 3667, 4133, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 6, 4, 3, 3, 9, 8, 8, 8, 9, 7, 4, 4, 5, 6, 8, 9, 8, 8, 8, 5, 5, 7, 4, 4, 7, 8, 6, 6, 4, 4, 5, 5, 5, 9, 10, 9, 5, 5, 6, 6, 6, 6, 10, 9, 9, 11, 10, 5, 5, 6, 6, 6, 10, 9, 9, 11, 12, 11, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 8, 10, 9, 10, 8, 4, 4, 9, 10, 8, 9, 7, 8, 7, 10, 9, 10, 8, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 5, 6, 6, 6, 6, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 4, 4, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 4, 4, 8, 9, 7, 8, 7, 4, 4, 5, 8, 10, 9, 10, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 5, 4, 4, 5, 5, 7, 4, 3, 3, 3, 3, 3, 5, 8, 8, 7, 7, 8, 9, 6, 6, 9, 10, 9, 7, 7, 8, 9, 9, 5, 5, 5, 10, 11, 9, 10, 9, 12, 11, 12, 11, 6, 6, 7, 10, 11, 9, 10, 9, 7, 7, 12, 13, 11, 12, 11, 4, 4, 5, 9, 8, 8, 7, 8, 8, 8, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 9, 9, 8, 9, 6, 3, 3, 5, 7, 9, 8, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 2, 0, 0, 4, 4, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 0, 1, 2, 3, 3, 4, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 3, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 6, 1, 0, 1, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 0, 0, 3, 3, 2, 2, 5, 5, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 3, 3, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 6, 6, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 2, 1, 2, 3, 3, 1, 0, 0, 0, 2, 1, 3, 3, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 1648, 505, 280, 313, 34, 32, 39, 32, 34, 20, 203, 505, 2116, 505, 280, 330, 64, 295, 14026, 7349, 42028, 25, 203, 505, 1935, 505, 280, 330, 33894, 32, 1262, 42028, 50, 7253, 32, 508, 25, 203, 505, 464, 505, 280, 2107, 19246, 1237, 81, 4882, 785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 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, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 589, 4705, 26, 4068, 711, 203, 202, 890, 81, 4068, 280, 1605, 203, 202, 979, 3594, 328, 8153, 44, 357, 202, 890, 81, 4068, 32, 1689, 26, 1112, 32, 5729, 1157, 203, 202, 4068, 280, 537, 81, 4068, 203, 202, 1112, 470, 280, 739, 346, 203, 202, 1112, 998, 280, 5436, 346, 203, 202, 979, 3594, 328, 8153, 44, 357, 202, 5586, 81, 891, 280, 2069, 26, 1112, 470, 27, 357, 202, 1112, 470, 32, 669, 26, 1112, 27, 357, 202, 890, 81, 891, 280, 2069, 26, 1112, 470, 27, 357, 202, 325, 537, 81, 891, 848, 7323, 81, 891, 44, 355, 202, 1112, 998, 77, 1112, 79, 280, 8153, 32, 998, 26, 1112, 27, 203, 202, 601, 3594, 470, 30, 3594, 998, 203, 589, 2575, 2262, 203, 202, 325, 2069, 26, 3731, 32, 6118, 27, 610, 225, 35, 556, 2069, 26, 3731, 32, 6118, 27, 848, 225, 36, 44, 357, 202, 1216, 330, 9302, 499, 4262, 8153, 32, 978, 769, 998, 6806, 470, 25, 357, 202, 3731, 32, 4775, 26, 34, 27, 203, 202, 1762, 280, 5237, 32, 6118, 77, 35, 79, 203, 202, 325, 2470, 646, 328, 2107, 287, 998, 370, 11363, 470, 12132, 357, 202, 1216, 330, 9302, 499, 4262, 8153, 32, 978, 769, 998, 6806, 470, 25, 357, 202, 3731, 32, 4775, 26, 34, 27, 203, 202, 1270, 44, 357, 202, 1793, 2156, 463, 1131, 32, 2760, 370, 330, 100, 683, 619, 296, 44, 355, 202, 878, 280, 296, 32, 850, 346, 203, 202, 7343, 3268, 44, 357, 202, 1216, 330, 21722, 1591, 432, 322, 3134, 2276, 2017, 619, 1509, 32, 2760, 25, 203, 202, 4068, 280, 1344, 32, 2998, 346, 203, 202, 1112, 470, 30, 3594, 998, 280, 4705, 26, 4068, 27, 203, 202, 325, 2470, 610, 11363, 470, 950, 357, 202, 1286, 280, 313, 4939, 2524, 26, 11939, 26, 668, 26, 1112, 470, 2610, 357, 202, 1793, 2156, 463, 2024, 32, 2760, 370, 330, 105, 683, 619, 296, 44, 355, 202, 88, 32, 1821, 26, 1286, 27, 203, 202, 12106, 2470, 610, 11363, 998, 950, 357, 202, 1286, 280, 313, 4939, 2524, 26, 11939, 26, 1112, 998, 30, 1202, 47, 1112, 998, 32, 371, 30, 10156, 47, 1815, 490, 357, 202, 1793, 2156, 463, 2024, 32, 2760, 370, 330, 105, 683, 619, 296, 44, 355, 202, 88, 32, 1821, 26, 1286, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 203, 202, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 7, 8, 7, 10, 9, 10, 9, 2, 2, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 6, 2, 2, 5, 5, 4, 4, 6, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 8, 8, 7, 8, 7, 8, 7, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 5, 5, 7, 7, 6, 6, 7, 7, 5, 5, 5, 10, 10, 9, 10, 9, 8, 8, 10, 11, 10, 11, 10, 2, 2, 3, 3, 5, 4, 4, 5, 0, 1, 1, 2, 1, 1, 3, 3, 7, 9, 8, 9, 7, 5, 5, 6, 4, 4, 7, 9, 8, 9, 7, 5, 5, 6, 3, 3, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 8, 7, 8, 7, 8, 7, 2, 2, 5, 4, 4, 6, 7, 5, 6, 5, 2, 2, 3, 3, 4, 4, 4, 7, 7, 7, 5, 7, 7, 3, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 8, 7, 8, 7, 8, 7, 2, 2, 3, 3, 3, 3, 5, 5, 10, 12, 12, 12, 12, 10, 12, 12, 8, 8, 5, 5, 5, 9, 8, 8, 10, 11, 10, 3, 3, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 6, 6, 5, 5, 6, 4, 4, 6, 7, 6, 2, 2, 3, 3, 4, 4, 6, 6, 3, 3, 7, 6, 6, 10, 9, 8, 10, 10, 12, 12, 13, 13, 12, 4, 4, 5, 5, 10, 12, 12, 12, 12, 10, 12, 12, 8, 8, 5, 5, 5, 10, 9, 10, 9, 10, 9, 3, 3, 4, 4, 5, 5, 7, 7, 4, 4, 8, 7, 7, 11, 10, 9, 11, 11, 12, 12, 11, 11, 12, 14, 14, 13, 14, 11, 11, 12, 13, 11, 5, 5, 6, 6, 11, 13, 13, 13, 13, 11, 13, 13, 9, 9, 6, 6, 6, 11, 10, 11, 10, 11, 10, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 5, 5, 3, 3, 0, 0, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 6, 6, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 4, 4, 6, 6, 1, 1, 1, 2, 6, 6, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 6, 6, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 1, 1, 5, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 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 ]
[ 1070, 4354, 7427, 1188, 10701, 2852, 30, 34031, 203, 1070, 41947, 1188, 27178, 81, 18838, 203, 465, 2322, 203, 465, 5237, 203, 465, 803, 81, 850, 203, 465, 420, 8143, 771, 321, 203, 465, 3664, 203, 465, 24774, 81, 1299, 203, 465, 6867, 203, 823, 4300, 3763, 26, 37571, 32, 67, 21518, 30, 27178, 81, 18838, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 47, 2521, 711, 291, 2599, 26, 3758, 3763, 30, 630, 14585, 1664, 3207, 2544, 27, 291, 630, 32, 5522, 10816, 26, 784, 27, 291, 630, 32, 761, 81, 426, 280, 3330, 291, 630, 32, 15002, 81, 103, 280, 1149, 346, 291, 630, 32, 15002, 81, 96, 280, 1149, 346, 291, 630, 32, 1299, 280, 24774, 81, 1299, 32, 46445, 26, 35, 34, 30, 225, 35, 30, 225, 37, 30, 225, 35, 39, 30, 225, 34, 32, 34, 34, 35, 30, 225, 34, 32, 34, 27, 291, 630, 32, 1299, 32, 1664, 346, 291, 630, 32, 1299, 32, 524, 81, 9582, 26, 784, 32, 944, 1157, 291, 630, 32, 1275, 280, 3330, 291, 630, 32, 5954, 32, 19663, 32, 3517, 26, 784, 32, 5954, 81, 761, 27, 291, 630, 32, 34913, 32, 19663, 32, 3517, 26, 784, 32, 34913, 81, 1298, 27, 291, 630, 32, 14304, 32, 19663, 32, 3517, 26, 784, 32, 14304, 81, 1298, 27, 291, 630, 32, 15002, 81, 94, 444, 32, 470, 39375, 8041, 26, 1815, 27, 291, 630, 32, 1945, 280, 2933, 291, 630, 32, 7212, 280, 10701, 2852, 32, 67, 6421, 346, 291, 630, 32, 7212, 32, 470, 5757, 26, 35, 34, 34, 34, 27, 291, 630, 32, 7212, 32, 5457, 32, 3517, 26, 784, 32, 268, 81, 3887, 27, 291, 630, 32, 7212, 32, 1366, 346, 284, 665, 32833, 81, 1298, 26, 784, 711, 291, 18146, 30, 617, 280, 34031, 32, 67, 28084, 32, 371, 2961, 6777, 26, 784, 30, 330, 2961, 803, 683, 291, 630, 32, 15741, 81, 761, 32, 6616, 26, 466, 26, 10555, 490, 284, 665, 316, 81, 3887, 26, 784, 711, 291, 415, 646, 630, 32, 1945, 44, 324, 34031, 32, 67, 22957, 32, 7468, 26, 784, 30, 313, 9107, 392, 313, 9107, 33025, 657, 324, 630, 32, 1945, 280, 2933, 324, 442, 225, 34, 284, 665, 4483, 81, 761, 26, 784, 711, 291, 540, 30, 341, 280, 2322, 32, 7413, 346, 291, 630, 32, 761, 81, 426, 280, 630, 32, 15741, 81, 761, 32, 878, 346, 291, 415, 630, 32, 761, 81, 426, 610, 34863, 324, 34031, 32, 67, 22957, 32, 7468, 26, 784, 30, 313, 2930, 392, 313, 5817, 607, 86, 803, 657, 324, 442, 225, 34, 291, 12497, 280, 2322, 32, 15793, 346, 291, 415, 12497, 44, 324, 2322, 32, 1684, 6320, 26, 6320, 30, 225, 34, 27, 291, 813, 44, 324, 2322, 32, 8022, 573, 98, 440, 34629, 392, 313, 34629, 392, 4825, 91, 392, 400, 630, 32, 761, 81, 426, 30, 4825, 107, 392, 313, 541, 32, 83, 325, 657, 324, 4323, 26, 34, 27, 291, 1596, 44, 324, 3664, 32, 1366, 81, 890, 81, 3426, 26, 784, 32, 3426, 81, 1298 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 8, 9, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 10, 9, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 9, 10, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 9, 10, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 9, 10, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 8, 9, 9, 9, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 8, 4, 4, 8, 9, 7, 8, 8, 7, 8, 8, 8, 8, 7, 4, 4, 9, 10, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 10, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 10, 11, 11, 9, 10, 9, 10, 9, 9, 11, 11, 9, 11, 11, 11, 6, 6, 9, 10, 8, 8, 6, 6, 7, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 8, 4, 4, 5, 7, 8, 8, 8, 6, 6, 5, 5, 10, 11, 11, 9, 10, 9, 10, 9, 9, 11, 11, 9, 11, 11, 11, 11, 11, 6, 6, 7, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 5, 9, 10, 10, 9, 10, 9, 9, 10, 9, 5, 5, 6, 6, 6, 10, 11, 11, 11, 10, 12, 12, 10, 12, 12, 10, 12, 12, 10, 10, 11, 12, 12, 12, 10, 10, 12, 12, 10, 12, 12, 12, 12, 12, 7, 7, 10, 11, 10, 4, 4, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 11, 10, 11, 11, 11 ]
[ 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, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 7, 7, 0, 0, 0, 8, 8, 0, 9, 9, 1, 2, 0, 1, 2, 2, 2, 2, 3, 3, 2, 9, 9, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 1, 1, 9, 9, 9, 9, 9, 1, 1, 11, 11, 11, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 3, 3, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 4, 4, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 4, 4, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 4, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 7, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 5, 5, 5, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2 ]
[ 465, 13092, 203, 465, 2197, 283, 10554, 32, 4873, 203, 1070, 281, 288, 10554, 1188, 309, 1837, 10554, 203, 1070, 281, 288, 10554, 32, 101, 1837, 10554, 1188, 3203, 919, 297, 81, 2516, 203, 1070, 343, 4789, 10554, 32, 1160, 1188, 16155, 23248, 30, 21400, 30, 21400, 720, 203, 1070, 31177, 101, 32, 15096, 32, 37550, 1188, 5313, 81, 7711, 30, 2979, 81, 19697, 81, 21830, 203, 1070, 31177, 101, 32, 955, 81, 5065, 1188, 5463, 203, 50, 12408, 32, 1826, 32, 28913, 440, 1166, 81, 1363, 81, 7010, 392, 3203, 919, 297, 81, 2516, 32, 329, 304, 3936, 27, 203, 589, 894, 81, 14268, 26, 1166, 81, 1363, 81, 7010, 711, 284, 309, 5123, 280, 309, 1837, 10554, 32, 1166, 81, 1363, 81, 1338, 26, 1166, 81, 1363, 81, 7010, 27, 284, 9101, 280, 309, 5123, 32, 1813, 81, 14600, 81, 44748, 81, 7919, 27261, 26, 7236, 47, 35, 34, 34, 34, 27, 284, 6733, 280, 9101, 32, 1832, 81, 95, 24837, 81, 470, 26, 278, 45181, 3291, 81, 4555, 47, 1815, 30, 343, 81, 887, 47, 35, 547, 8931, 81, 452, 81, 98, 35, 346, 284, 1056, 280, 2979, 81, 19697, 81, 21830, 32, 14268, 26, 874, 32, 7711, 1157, 284, 415, 309, 5123, 32, 1363, 922, 41941, 81, 2460, 2582, 81, 681, 81, 7010, 346, 863, 313, 66, 563, 291, 1201, 1056, 438, 646, 1665, 291, 1201, 6937, 26, 1267, 30, 2197, 283, 10554, 32, 4873, 32, 31857, 27, 291, 1201, 1056, 32, 96, 610, 308, 37, 30, 225, 37, 27, 284, 813, 44, 291, 1201, 1056, 438, 1665, 203, 50, 12408, 32, 1826, 32, 28913, 440, 1166, 81, 1363, 81, 7010, 392, 3203, 919, 297, 81, 2516, 32, 329, 304, 3936, 27, 203, 589, 894, 81, 11015, 26, 1166, 81, 1363, 81, 7010, 711, 284, 309, 5123, 280, 309, 1837, 10554, 32, 1166, 81, 1363, 81, 1338, 26, 1166, 81, 1363, 81, 7010, 27, 284, 9101, 280, 309, 5123, 32, 1813, 81, 14600, 81, 44748, 81, 7919, 27261, 26, 7236, 47, 35, 34, 34, 34, 27, 284, 6733, 280, 9101, 32, 1832, 81, 95, 24837, 81, 470, 26, 278, 45181, 3291, 81, 4555, 47, 1815, 30, 343, 81, 887, 47, 35, 547, 8931, 81, 452, 81, 98, 35, 346, 284, 551, 280, 2197, 283, 10554, 32, 4873, 32, 31857, 26, 1729, 32, 2243, 81, 3376, 922, 21284, 279, 1649, 81, 4873, 4251, 16547, 346, 284, 5564, 23248, 280, 16155, 23248, 26, 52, 30, 309, 1837, 10554, 32, 1166, 81, 1363, 1157, 284, 538, 11273, 280, 21400, 720, 2009, 10386, 26, 44748, 47, 44748, 14829, 284, 316, 1306, 280, 5463, 32, 22630, 81, 1274, 346, 284, 316, 1306, 1365, 95, 24837, 81, 1055, 1446, 280, 6733, 32, 7711, 346, 284, 316, 1306, 1365, 1775, 98, 1446, 280, 551, 32, 29595, 319, 6733, 32, 7711, 922, 302, 81, 3137, 37, 81, 2627, 346, 284, 316, 1306, 1365, 893, 470, 81, 314, 1446, 280, 5463, 32, 410, 26, 1657, 26, 612, 94, 490, 284, 316, 1306, 1365, 11469, 12133, 32, 2840, 32, 853, 1446, 280, 5463, 32, 3137, 37, 81, 2627 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 0, 2, 6, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 5, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 2, 6, 5, 5, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 3, 3, 5, 5, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 7, 3, 3, 5, 5, 9, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 10, 11, 9, 9, 11, 11, 10, 11, 9, 8, 8, 8, 8, 8, 8, 7, 3, 3, 5, 5, 8, 8, 8, 8, 7, 8, 7, 10, 9, 10, 9, 3, 3, 4, 10, 9, 10, 9, 8, 8, 8, 8, 8, 8, 8, 8, 7, 5, 5, 7, 7, 4, 4, 6, 7, 7, 7, 5, 5, 6, 8, 9, 8, 8, 11, 11, 10, 11, 9, 10, 8, 5, 5, 6, 8, 9, 7, 7, 9, 8, 8, 9, 8, 4, 4, 5, 5, 5, 7, 8, 8, 0, 2, 6, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 5, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 2, 6, 5, 5, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 3, 3, 5, 5, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 7, 3, 3, 5, 5, 9, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 10, 11, 9, 9, 11, 11, 10, 11, 9, 8, 8, 8, 8, 8, 8, 7, 3, 3, 5, 5, 11, 11, 10, 11, 9, 10, 9, 14, 13, 14, 14, 14, 13, 12, 12, 12, 12, 12, 11, 8, 7, 3, 3, 6, 5, 5, 7, 7, 8, 7, 7, 10, 10, 9, 10, 10, 10, 9, 3, 3, 6, 5, 5, 7, 7, 10, 10, 12, 11, 12, 10, 3, 3, 6, 5, 5, 7, 8, 8, 8, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 5, 7, 8, 7, 3, 3, 7, 6, 8, 8, 8, 5, 5, 7, 8, 6, 6, 10, 11, 10, 9, 9, 9, 9, 9, 9, 8, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 5, 7, 8, 7, 9, 9, 10, 10, 9, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 4, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 3, 2, 2, 2, 1, 7, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 4, 4, 4, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 0, 0, 0, 2, 3, 2, 1, 3, 3, 2, 0, 2, 1, 1, 1, 2, 2, 3, 2, 4, 4, 4, 4, 4, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 3, 2, 2, 2, 1, 8, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2 ]
[ 465, 2361, 203, 1070, 2098, 19631, 32, 47010, 1356, 32, 360, 34875, 32, 62, 1146, 1188, 42763, 203, 1070, 8450, 81, 9331, 32, 15965, 32, 64, 4911, 18079, 1188, 489, 4911, 18079, 203, 1070, 2098, 19631, 32, 4295, 32, 7832, 1188, 21878, 203, 1070, 2098, 19631, 32, 4295, 32, 6383, 81, 30277, 2917, 1188, 20336, 81, 30277, 2917, 203, 1070, 2098, 19631, 32, 4295, 32, 1394, 1188, 4703, 203, 50, 43976, 26, 21823, 1057, 13502, 370, 291, 793, 81, 21633, 47, 1815, 30, 291, 793, 81, 8228, 47, 1815, 27, 203, 823, 516, 3898, 410, 1467, 282, 44, 284, 498, 15067, 17475, 280, 5053, 14575, 370, 330, 4624, 74, 6040, 284, 15715, 32477, 280, 301, 64, 4911, 18079, 463, 13502, 370, 330, 36, 18192, 284, 14730, 280, 5053, 1318, 2098, 13573, 15462, 6040, 284, 14730, 81, 17945, 69, 280, 5053, 331, 13573, 31, 20392, 50, 2175, 6332, 32, 508, 6040, 284, 7616, 280, 330, 1614, 2743, 31, 37, 32, 34, 25, 284, 16867, 59, 3123, 1400, 81, 2413, 280, 330, 641, 555, 11820, 266, 11173, 32, 1088, 33, 83, 33, 37, 42, 41, 37, 43, 25, 284, 22334, 81, 46827, 280, 5053, 6647, 6040, 284, 22334, 81, 6438, 280, 5053, 25349, 6040, 284, 25017, 81, 1110, 280, 301, 36, 44, 20336, 81, 30277, 2917, 32, 24996, 30, 3486, 35, 44, 20336, 81, 30277, 2917, 32, 15644, 30, 3486, 34, 44, 20336, 81, 30277, 2917, 32, 1589, 111, 284, 477, 16099, 284, 665, 1487, 81, 8299, 26, 3607, 30, 803, 30, 1359, 81, 761, 30, 656, 12328, 81, 1163, 44, 596, 1057, 7831, 291, 2181, 280, 308, 324, 11363, 1347, 31, 3617, 370, 324, 11363, 1347, 31, 1489, 370, 324, 6470, 88, 47, 1260, 370, 324, 11363, 21633, 370, 324, 11363, 21633, 31, 3607, 1057, 474, 4870, 30, 291, 829, 291, 415, 12328, 81, 1163, 44, 324, 2181, 1454, 2726, 287, 1163, 370, 12328, 81, 1163, 27, 291, 813, 44, 324, 2181, 1454, 2726, 287, 1163, 370, 1359, 81, 761, 27, 291, 442, 2181, 284, 477, 16099, 284, 665, 4450, 81, 1163, 26, 3607, 30, 803, 711, 291, 442, 31167, 9971, 563, 313, 13502, 44, 32573, 3612, 25, 284, 665, 2164, 81, 2024, 26, 784, 30, 1688, 30, 4870, 30, 803, 711, 291, 415, 1688, 77, 35, 2786, 324, 630, 32, 8447, 463, 16225, 3974, 301, 34, 835, 1629, 5654, 4528, 2431, 6078, 2855, 638, 1643, 26, 784, 3667, 823, 29215, 426, 28154, 324, 630, 32, 8447, 26, 2024, 77, 35, 1130, 291, 415, 646, 803, 556, 646, 1688, 77, 34, 2786, 324, 442, 291, 1688, 280, 2361, 32, 12474, 26, 2024, 77, 34, 1130, 291, 5430, 280, 35617, 2524, 26, 761, 27, 291, 1201, 2069, 26, 2024, 27, 610, 225, 35, 291, 436, 1056, 328, 1688, 77, 34, 5795, 6286, 12132, 324, 415, 330, 3299, 25, 646, 328, 1056, 44, 400, 47086, 280, 1665, 324, 813, 44, 400, 2421, 280, 1056, 710, 3299, 785, 400, 1477, 30, 943, 280, 2421, 710, 3585, 785, 400, 15909, 81, 878, 280, 2421, 710, 878, 785, 400, 537, 81, 2024, 280, 5430, 2867, 1366, 79, 474 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 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, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 2, 4, 4, 6, 5, 7, 7, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 6, 6, 5, 5, 8, 8, 6, 8, 8, 8, 3, 3, 6, 5, 5, 8, 8, 8, 8, 10, 10, 8, 10, 10, 3, 3, 5, 5, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 5, 5, 8, 8, 3, 3, 6, 6, 5, 5, 8, 8, 3, 3, 6, 6, 5, 5, 8, 7, 7, 9, 9, 9, 8, 9, 6, 6, 8, 7, 7, 9, 9, 9, 8, 9, 6, 6, 8, 7, 7, 9, 9, 9, 8, 9, 6, 3, 3, 6, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 7, 7, 6, 6, 6, 8, 8, 7, 7, 7, 9, 5, 5, 8, 8, 9, 9, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 11, 11, 9, 9, 12, 12, 12, 12, 10, 10, 9, 9, 9, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 13, 13, 13, 11, 12, 12, 11, 7, 7, 8, 8, 8, 11, 11, 14, 14, 14, 12, 13, 13, 12, 6, 6, 7, 3, 3, 6, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 8, 7, 6, 6, 10, 11, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 12, 15, 14, 15, 15, 14, 14, 7, 7, 10, 11, 10, 12, 11, 12, 11, 5, 5, 6, 8, 7, 7, 8, 9, 10, 9, 6, 6, 5, 5, 7, 7, 9, 10, 9, 11, 10, 11, 10, 5, 5, 7, 7, 10, 9, 10, 9, 5, 5, 6, 9, 10, 9, 7, 7, 8, 5, 5, 6, 6, 6, 8, 9, 8, 9, 9, 6, 6, 8, 11, 11, 9, 9, 9, 8, 8, 8, 11, 11, 8, 8, 9, 9, 9, 12, 12, 13, 15, 15, 10, 10, 13, 13, 12, 12, 13, 15, 15, 10, 10, 13, 13, 12, 12, 13, 15, 15, 10, 10, 13, 13, 12, 12, 15, 17, 15, 14 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 4, 4, 1, 6, 6, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 2, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 2, 2, 2, 2, 0, 5, 5, 0, 0, 0, 2, 2, 2, 3, 3, 1, 9, 9, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 7, 7, 7, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 9, 9, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 4, 0, 0, 1, 1, 2, 2, 3, 3, 2, 4, 4, 2, 3, 3, 1, 10, 10, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 11, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 11, 11, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 3, 3, 0, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 5, 5, 5, 0, 2, 0, 1, 2, 5, 5, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 1070, 9270, 32, 3209, 1188, 7057, 81, 104, 35, 203, 4396, 665, 3964, 81, 668, 81, 34465, 2262, 284, 2043, 280, 7057, 81, 104, 35, 32, 6859, 1183, 2981, 1486, 346, 284, 1326, 280, 7057, 81, 104, 35, 32, 720, 8357, 47531, 26, 284, 829, 284, 1789, 280, 2014, 2043, 32, 668, 81, 34465, 26, 1357, 47, 1357, 27, 284, 1459, 34864, 2296, 1643, 26, 1986, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 6, 6, 2, 2, 4, 4, 5, 7, 8, 8, 8, 7, 9, 8, 9, 7, 2, 2, 5, 9, 8, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 2, 2, 2, 2, 3, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 5, 5, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 29969, 1188, 5380, 203, 1070, 13092, 1188, 15124, 203, 1070, 556, 98, 738, 87, 32, 605, 1188, 4841, 2227, 619, 9628, 203, 1070, 20439, 1052, 1188, 4262, 81, 539, 203, 25339, 81, 3197, 280, 5380, 4064, 761, 25566, 2544, 203, 29718, 81, 20866, 81, 9842, 280, 4262, 81, 539, 32, 2665, 2810, 203, 14101, 81, 9863, 1099, 81, 7321, 81, 3765, 1392, 280, 9628, 26, 284, 1795, 280, 8964, 81, 3197, 517, 330, 2665, 2810, 32, 2760, 370, 284, 2926, 264, 280, 3447, 678, 695, 403, 280, 563, 10685, 1536, 1924, 111, 203, 27, 203, 50, 12940, 26, 3473, 347, 1647, 657, 203, 589, 556, 81, 14028, 26, 1357, 711, 284, 2890, 81, 9863, 1099, 81, 7321, 81, 3765, 1392, 32, 1832, 346, 284, 665, 3345, 81, 20915, 2262, 291, 2890, 81, 9863, 1099, 81, 7321, 81, 3765, 1392, 32, 2546, 81, 20915, 346, 284, 1326, 32, 669, 3220, 2265, 26, 2546, 81, 20915, 27, 203, 589, 894, 81, 2958, 81, 539, 81, 2665, 2810, 26, 271, 81, 14028, 711, 284, 3312, 280, 2890, 81, 9863, 1099, 81, 7321, 81, 3765, 1392, 32, 1772, 2665, 440, 1530, 1289, 12595, 2979, 84, 657, 284, 436, 894, 426, 30, 36701, 328, 3312, 32, 3028, 2262, 291, 544, 318, 3557, 280, 36701, 710, 11743, 3557, 785, 291, 544, 318, 3557, 280, 9967, 26, 11743, 3557, 27, 291, 3982, 2810, 81, 32411, 280, 36701, 710, 6270, 2810, 785, 291, 3982, 2810, 81, 32411, 280, 9967, 26, 6270, 2810, 81, 32411, 27, 291, 3982, 2810, 81, 6264, 280, 9448, 935, 81, 20866, 81, 9842, 26, 11743, 3557, 27, 291, 3982, 2810, 81, 6264, 280, 8594, 26, 6270, 2810, 81, 6264, 27, 291, 1201, 3982, 2810, 81, 32411, 610, 3982, 2810, 81, 6264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 4, 2, 2, 0, 1, 1, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 6, 6, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 5, 5, 7, 7, 6, 6, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 9, 9, 9, 9, 9, 7, 9, 9, 6, 4, 4, 0, 2, 4, 4, 6, 5, 7, 7, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 3, 3, 4, 5, 5, 5, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 3, 3, 6, 7, 7, 7, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 4, 4, 3, 3, 5, 6, 5, 3, 3, 7, 7, 6, 6, 7, 9, 9, 9, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 7, 9, 9, 9, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 5, 7, 7, 7, 6, 6, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 7, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 6, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 341, 1549, 1356, 1188, 5238, 30, 3383, 885, 30, 15091, 30, 7049, 30, 24632, 30, 29439, 30, 11024, 30, 13249, 203, 1070, 341, 1549, 1356, 32, 11912, 1188, 3570, 203, 1070, 341, 1549, 1356, 32, 3206, 299, 1188, 1420, 81, 2501, 203, 1070, 341, 1549, 1356, 32, 2247, 5142, 1188, 2670, 81, 1959, 30, 2787, 203, 465, 2322, 32, 983, 30, 2322, 203, 1070, 13625, 1188, 33953, 203, 465, 1845, 81, 18590, 203, 8182, 81, 2399, 69, 280, 428, 284, 35100, 69, 370, 284, 35100, 85, 370, 284, 35100, 3766, 370, 203, 79, 203, 22116, 81, 2478, 58, 1102, 815, 81, 33384, 1438, 81, 41424, 280, 428, 284, 330, 1893, 81, 14597, 3511, 370, 284, 330, 1893, 81, 18093, 370, 284, 330, 1893, 81, 51, 5137, 69, 370, 284, 330, 1893, 81, 14480, 7670, 370, 284, 330, 1893, 81, 2900, 97, 370, 284, 330, 1893, 81, 52, 3131, 8536, 370, 284, 330, 1893, 81, 8433, 1063, 370, 284, 330, 1893, 81, 5240, 370, 284, 330, 1893, 81, 982, 350, 370, 284, 330, 1893, 81, 5484, 3147, 370, 284, 330, 1893, 81, 35164, 370, 284, 330, 1893, 81, 14261, 370, 284, 330, 1893, 81, 14261, 81, 2766, 370, 284, 330, 1893, 81, 383, 581, 564, 11810, 370, 284, 330, 1893, 81, 5717, 370, 284, 330, 1893, 81, 30123, 370, 284, 330, 1893, 81, 6646, 19057, 56, 36, 370, 284, 330, 1893, 81, 6646, 19057, 56, 37, 370, 284, 330, 1893, 81, 11606, 370, 284, 330, 1893, 81, 5482, 1578, 4055, 370, 284, 330, 1893, 81, 3180, 370, 284, 330, 1893, 81, 68, 1247, 370, 284, 330, 1893, 81, 3198, 15882, 370, 284, 330, 1893, 81, 11434, 370, 284, 330, 1893, 81, 2948, 1572, 370, 284, 330, 1893, 81, 31942, 370, 284, 330, 1893, 81, 16175, 370, 284, 330, 1893, 81, 4292, 924, 370, 284, 330, 1893, 81, 3703, 370, 284, 330, 2348, 370, 284, 330, 57, 3746, 81, 1400, 72, 2359, 370, 284, 330, 4940, 81, 3525, 370, 284, 330, 33861, 81, 3525, 370, 284, 330, 3566, 1572, 370, 284, 330, 1893, 81, 70, 17737, 370, 284, 330, 1893, 81, 5735, 63, 370, 284, 330, 1893, 81, 34300, 59, 370, 284, 330, 1893, 81, 11884, 370, 284, 330, 1893, 81, 2459, 370, 284, 330, 1893, 81, 1714, 370, 284, 330, 1893, 81, 1102, 3711, 370, 284, 330, 1893, 81, 6082, 14265, 81, 3827, 2056, 370, 284, 330, 1893, 81, 15313, 3566, 370, 284, 330, 1893, 81, 28632, 370, 284, 330, 1893, 81, 811, 2086, 28632, 5004, 370, 284, 330, 1893, 81, 5450, 108, 81, 5506, 370, 284, 330, 1893, 81, 69, 5990, 1512, 370, 284, 330, 1893, 81, 2338, 6600, 71, 370, 284, 330, 1893, 81, 926, 867, 1142, 370, 284, 330, 1893, 81, 15730, 1310, 567, 370, 284, 330, 1893, 81, 4940, 5506, 370, 284, 330, 1893, 81, 11891, 370, 284, 330, 1893, 81, 2410, 40315, 370, 284, 330, 1893, 81, 7429, 65, 4722, 370, 284, 330, 1893, 81, 5153, 2119, 91, 370, 284, 330, 1893, 81, 2849, 6883, 370, 284, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 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, 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, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 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, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 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, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 3, 0, 0, 1, 2, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2, 4, 4, 0, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2 ]
[ 1070, 8527, 32, 2957, 32, 11400, 32, 10514, 1188, 15103, 30, 1984, 203, 1070, 8527, 32, 4338, 32, 9947, 1188, 10838, 1074, 203, 965, 15719, 280, 15103, 22869, 284, 1984, 26, 100, 28249, 37143, 10838, 1074, 32, 302, 81, 1071, 26, 400, 3079, 81, 426, 1057, 3550, 33, 496, 33, 3550, 32, 916, 1425, 400, 636, 1057, 1055, 2847, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 2, 2, 4, 4, 4, 6, 8, 8, 8, 6, 9, 8, 9, 9, 9, 8, 8, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 7, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 743, 16652, 1237, 1188, 2752, 16652, 2554, 203, 465, 2361, 203, 6380, 81, 878, 280, 330, 75, 27216, 343, 3332, 38873, 25977, 1672, 43828, 29311, 328, 36493, 22768, 424, 30, 5447, 2598, 32, 439, 11089, 439, 1098, 1159, 372, 5759, 2288, 372, 322, 15631, 8809, 461, 16968, 312, 537, 1591, 4564, 203, 6380, 81, 965, 280, 330, 525, 555, 1499, 32, 96, 777, 32, 1088, 33, 36, 34, 35, 37, 33, 35, 35, 33, 36, 40, 33, 36, 38, 41, 37, 37, 40, 34, 37, 42, 33, 32607, 31, 25618, 31, 1382, 31, 10104, 678, 31, 363, 31, 2455, 31, 28360, 31, 1070, 31, 44831, 302, 31, 858, 31, 93, 30447, 25, 203, 6380, 81, 916, 280, 4145, 916, 772, 1816, 772, 1311, 48, 8312, 17446, 523, 2752, 16652, 2554, 377, 1311, 855, 1816, 772, 1548, 772, 90, 35, 48, 11162, 844, 3702, 688, 2752, 16652, 2554, 4847, 544, 5780, 14682, 90, 35, 772, 98, 48, 25778, 30, 844, 745, 2464, 1730, 98, 855, 1548, 855, 916, 6457, 203, 1216, 25416, 203, 1216, 25416, 203, 1216, 463, 1468, 1717, 23702, 12992, 11134, 225, 203, 1216, 463, 647, 638, 59, 41, 41, 41, 41, 112, 23702, 12992, 11134, 203, 1216, 463, 262, 638, 59, 41, 41, 41, 41, 41, 41, 41, 23702, 11347, 11134, 203, 1216, 463, 261, 474, 32, 261, 41, 41, 41, 41, 41, 41, 41, 41, 23702, 9316, 11134, 203, 1216, 463, 280, 10397, 11155, 225, 439, 41, 41, 41, 41, 41, 41, 41, 47, 23702, 10086, 11134, 203, 1216, 463, 47, 35472, 10397, 264, 41, 41, 41, 41, 41, 41, 41, 49, 261, 1717, 15380, 5849, 49, 23702, 2850, 11134, 203, 1216, 463, 47, 35472, 10397, 4972, 261, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 112, 263, 638, 41, 41, 44, 264, 7475, 2264, 499, 41, 26294, 280, 15497, 262, 499, 35952, 6464, 29, 225, 37548, 49, 2033, 11134, 203, 1216, 463, 7475, 35472, 49, 2805, 638, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 263, 18882, 41, 41, 264, 7475, 2264, 499, 41, 26294, 9662, 41, 262, 499, 22, 49, 264, 41, 22, 41, 37548, 49, 2033, 11134, 203, 1216, 463, 225, 638, 35472, 37683, 47, 225, 474, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 351, 638, 41, 280, 41, 44, 261, 7475, 261, 499, 41, 41, 41, 41, 29, 225, 499, 41, 44, 59, 41, 41, 41, 49, 264, 1018, 41, 41, 41, 59, 47, 261, 41, 41, 112, 41, 41, 41, 49, 1717, 41, 41, 41, 59, 439, 41, 958, 41, 41, 261, 474, 22, 33113, 44, 264, 499, 22, 49, 264, 9662, 37548, 49, 2033, 11134, 203, 1216, 463, 264, 7475, 35472, 49, 29, 225, 3165, 41, 41, 41, 37683, 29, 5849, 15380, 263, 499, 41, 29, 225, 3165, 41, 261, 7475, 638, 41, 41, 264, 474, 41, 499, 41, 4972, 261, 18882, 261, 41 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 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, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 0, 3, 3, 0, 3, 3, 5, 5, 5, 5, 5, 0, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 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, 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, 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, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3995, 203, 465, 15390, 605, 203, 465, 3619, 203, 1070, 540, 2958, 32, 100, 1356, 32, 9941, 605, 1188, 308, 284, 15390, 1199, 81, 37, 81, 36, 81, 34, 30, 15390, 1199, 81, 39, 81, 36, 81, 34, 30, 15390, 1199, 81, 40, 81, 34, 81, 34, 30, 15390, 1199, 81, 40, 81, 36, 81, 34, 30, 284, 15390, 1199, 81, 42, 81, 34, 81, 34, 27, 203, 823, 2108, 14923, 750, 26, 1473, 711, 284, 665, 4705, 81, 823, 26, 6933, 711, 291, 415, 15390, 605, 32, 311, 29750, 81, 1648, 863, 330, 39, 32, 36, 32, 34, 950, 324, 3619, 32, 858, 32, 5961, 463, 32380, 4262, 623, 15390, 225, 39, 32, 36, 32, 34, 3500, 11834, 291, 9124, 280, 3995, 32, 300, 359, 363, 5960, 26, 37, 36, 27, 291, 1459, 313, 3855, 9124, 44, 3003, 9124, 291, 3995, 32, 7389, 26, 7389, 27, 291, 9011, 32, 1594, 668, 280, 1351, 668, 280, 1605, 291, 9011, 32, 1347, 1594, 668, 280, 1289, 1594, 668, 280, 1605, 291, 2218, 2069, 26, 1594, 668, 27, 333, 225, 35, 34, 34, 34, 556, 2069, 26, 1347, 1594, 668, 27, 333, 225, 35, 34, 34, 34, 44, 324, 21749, 280, 707, 1190, 100, 26, 3855, 32, 6386, 3585, 26, 40, 39, 39, 37, 40, 490, 324, 1596, 44, 400, 1351, 668, 32, 1689, 1162, 9918, 30, 15390, 605, 32, 426, 26, 9918, 2610, 324, 2940, 10091, 44, 400, 1289, 1594, 668, 32, 1689, 26, 9918, 27, 284, 665, 894, 81, 3855, 81, 1594, 4243, 26, 784, 711, 291, 436, 21749, 30, 636, 328, 630, 32, 1594, 668, 44, 324, 1201, 15390, 1199, 81, 39, 81, 36, 81, 34, 32, 426, 26, 655, 26, 9918, 490, 610, 636, 324, 1201, 15390, 1199, 81, 39, 81, 36, 81, 34, 32, 10122, 26, 426, 27, 610, 16167, 26, 9918, 27, 284, 665, 894, 81, 3855, 81, 9785, 81, 13000, 26, 784, 711, 291, 436, 21749, 328, 630, 32, 1347, 1594, 668, 44, 324, 3619, 32, 858, 32, 16708, 26, 953, 924, 30, 15390, 1199, 81, 39, 81, 36, 81, 34, 32, 426, 30, 16167, 26, 9918, 490, 284, 665, 894, 81, 297, 1216, 444, 26, 784, 711, 291, 1201, 15390, 1199, 81, 39, 81, 36, 81, 34, 32, 297, 1216, 444, 26, 655, 463, 41964, 291, 1201, 15390, 1199, 81, 39, 81, 36, 81, 34, 32, 297, 1216, 444, 26, 655, 463, 83, 2847, 291, 1201, 646, 15390, 1199, 81, 39, 81, 36, 81, 34, 32, 297, 1216, 444, 26, 35, 36, 41, 27, 291, 1201, 15390, 1199, 81, 39, 81, 36, 81, 34, 32, 297, 1216, 444, 26, 34, 106, 34, 34, 34, 35, 34, 37, 38, 40, 27, 16189, 1201, 15390, 1199, 81, 39, 81, 36, 81, 34, 32, 297, 1216, 444, 26, 34, 3126, 2995, 27, 16189, 1201, 15390, 1199, 81, 39, 81, 36, 81, 34, 32, 297, 1216, 444, 26, 34, 3126, 2995, 27, 16189, 1201, 646, 15390, 1199, 81, 39, 81, 36, 81, 34, 32, 297, 1216, 444, 26, 34, 3078, 42, 34, 34, 27, 16189, 1201, 646, 15390, 1199 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 9, 9, 8, 4, 4, 5, 7, 7, 7, 7, 5, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 7, 7, 4, 4, 5, 9, 10, 10, 9, 7, 7, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 9, 7, 7, 8, 8, 8, 8, 5, 5, 5, 8, 8, 10, 10, 10, 13, 12, 13, 13, 12, 13, 13, 13, 13, 13, 12, 6, 6, 7, 7, 7, 12, 11, 12, 11, 13, 12, 12, 15, 14, 15, 14, 15, 14, 7, 7, 8, 8, 8, 8, 13, 13, 12, 13, 12, 13, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 5, 5, 6, 7, 7, 5, 5, 5, 7, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 12, 12, 13, 12, 8, 8, 6, 6, 7, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 11, 10, 8, 8, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 10, 11, 9, 10, 9, 10, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 10, 11, 9, 9, 11, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 9, 9, 11, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 9, 9, 11, 11, 4, 4, 5, 6, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 5, 6, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 6, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 2, 1, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 4, 4, 6, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 6, 6, 6, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 1, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 13625, 1188, 33953, 203, 98, 1338, 280, 33953, 2009, 203, 440, 34, 392, 308, 2993, 284, 308, 34, 27, 13859, 81, 426, 9529, 336, 284, 1348, 438, 322, 636, 432, 1370, 13859, 32, 2030, 1098, 526, 322, 5202, 436, 1169, 3701, 14904, 6517, 322, 2074, 3362, 32, 2244, 8792, 1244, 436, 458, 284, 3395, 438, 322, 636, 432, 1370, 2074, 3362, 32, 2616, 2280, 415, 1370, 284, 2074, 3362, 438, 5841, 4894, 31, 85, 643, 2425, 30, 1615, 1370, 13859, 636, 3065, 526, 284, 8400, 31, 85, 643, 2425, 32, 20731, 636, 438, 2677, 3301, 844, 4796, 2637, 372, 284, 13541, 43527, 4797, 312, 2074, 372, 1596, 3449, 9792, 623, 3449, 284, 9340, 14755, 2078, 30, 3449, 13021, 432, 328, 286, 3246, 6660, 30, 5774, 32, 284, 15950, 44, 284, 34918, 284, 706, 32, 470, 81, 2132, 463, 14316, 81, 426, 370, 313, 4894, 31, 85, 643, 2425, 657, 262, 5286, 9541, 284, 34918, 284, 3330, 392, 313, 10878, 636, 32, 12781, 372, 636, 1688, 14904, 436, 13859, 6655, 657, 203, 471, 203, 440, 35, 392, 308, 2993, 284, 308, 35, 27, 2074, 81, 1515, 9529, 6753, 284, 5412, 636, 517, 1519, 436, 4740, 3362, 2154, 1169, 706, 2276, 1098, 526, 3701, 7511, 32, 1348, 3395, 30789, 1169, 6655, 432, 13859, 308, 35, 31, 41, 547, 3701, 15950, 44, 3701, 34918, 284, 706, 32, 470, 81, 2132, 463, 2250, 81, 1515, 370, 5587, 657, 423, 5286, 9541, 284, 34918, 284, 3330, 392, 313, 3196, 4921, 308, 24915, 328, 2738, 1515, 415, 646, 5024, 14451, 203, 471, 203, 440, 36, 392, 308, 2993, 284, 308, 36, 27, 5081, 81, 37539, 81, 983, 9529, 1559, 284, 886, 3362, 556, 2276, 308, 4347, 623, 319, 24748, 9182, 27, 328, 1510, 3701, 44191, 67, 706, 2276, 736, 805, 32, 11094, 883, 526, 39097, 9974, 32, 1348, 3395, 30789, 3701, 1755, 3111, 225, 35, 432, 13859, 32, 15950, 44, 284, 34918, 284, 706, 32, 470, 81, 2132, 440, 1294, 81, 37539, 81, 983, 392, 313, 1294, 11734, 37539, 32, 6680, 657, 261, 5286, 9541, 3701, 34918, 284, 3330, 392, 313, 2924, 432, 5081, 2979, 31, 286, 11076, 1909, 318, 8117, 99, 2276, 657, 203, 471, 203, 440, 37, 392, 308, 2993, 284, 308, 37, 27, 5697, 7787, 81, 983, 9529, 336, 284, 5380, 372, 322, 5697, 7787, 803, 1654, 328, 3111, 225, 35, 432, 13859, 436, 3701, 409, 11076, 1909, 299, 32, 1670, 706, 884, 3425, 409, 11076, 1909, 318, 458, 883, 526, 2841, 3701, 11771, 32, 1348, 3395, 30789, 1755, 3111, 225, 35, 432, 13859, 32, 32178, 44, 595, 4997, 2315, 284, 883, 1755, 2887, 1591, 5697, 7787, 803, 821, 312, 1133, 30, 1259, 415, 844, 1159, 4609, 284, 5697, 7787, 2276, 461, 4609, 5081, 2276, 1615, 844, 4621, 1849, 372, 1420, 2504, 284, 24964, 32, 15950, 44, 284, 34918, 284, 706, 32, 470, 81, 2132, 440, 1632, 7787, 81, 983, 392, 5587, 1632, 7787, 32, 2760, 657, 264, 5286, 9541, 284, 34918, 284, 3330, 392, 313, 2924, 432, 5697, 7787, 803, 657, 203, 471, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 3, 3, 2, 2, 4, 5, 6, 8, 8, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 5, 6, 8, 8, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 5, 6, 8, 8, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 5, 6, 8, 8, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 6, 6, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 2, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 1, 2, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 7, 1, 2, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 7, 7, 1 ]
[ 465, 1933, 203, 465, 42406, 203, 465, 2361, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 2322, 315, 81, 17867, 1188, 2361, 2304, 203, 1070, 2322, 315, 81, 2304, 1188, 13489, 2304, 203, 465, 18792, 203, 1070, 28071, 32, 2282, 1188, 3756, 203, 1070, 28071, 32, 2282, 32, 91, 35, 42, 96, 1188, 617, 203, 1070, 28071, 32, 2282, 32, 91, 35, 42, 96, 1188, 617, 27812, 203, 1070, 28071, 32, 2282, 1188, 7248, 203, 1070, 28071, 32, 2282, 1188, 3079, 81, 1643, 203, 1070, 28071, 32, 3483, 1188, 5414, 203, 1070, 28071, 32, 3483, 1188, 4706, 203, 1070, 28071, 32, 3483, 1188, 2869, 203, 1070, 28071, 32, 3483, 1188, 13575, 203, 1070, 28071, 32, 3483, 1188, 4138, 619, 4118, 203, 1070, 28071, 32, 3483, 1188, 3079, 203, 1070, 28071, 32, 8358, 1188, 4125, 619, 16215, 81, 1237, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 9781, 2291, 26, 3142, 32, 2291, 711, 284, 5881, 284, 2244, 5547, 6287, 22948, 688, 6972, 322, 11146, 432, 600, 9449, 9781, 284, 619, 312, 2869, 328, 312, 2935, 4138, 32, 284, 5881, 284, 7171, 81, 30594, 81, 2393, 280, 2933, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 2361, 81, 20511, 30, 4138, 711, 291, 2599, 26, 3113, 2291, 30, 630, 14585, 1664, 3207, 426, 30, 2361, 81, 20511, 30, 4138, 27, 291, 630, 1114, 15377, 280, 1665, 291, 630, 32, 3142, 81, 1338, 280, 1665, 284, 665, 6042, 26, 784, 711, 291, 2599, 26, 3113, 2291, 30, 630, 547, 4635, 346, 291, 630, 32, 4635, 81, 15377, 81, 3034, 346, 284, 665, 6042, 81, 15377, 81, 3034, 26, 784, 711, 291, 1596, 44, 324, 636, 280, 5461, 101, 9299, 101, 20, 904, 308, 784, 32, 3034, 32, 426, 30, 630, 32, 426, 27, 324, 11815, 81, 3034, 280, 630, 1114, 2208, 81, 15377, 81, 3034, 26, 400, 636, 30, 400, 630, 32, 2661, 81, 2387, 1026, 400, 630, 32, 2661, 81, 2132, 1157, 324, 11815, 81, 3034, 32, 5848, 81, 4635, 280, 3177, 324, 11815, 81, 3034, 32, 4635, 346, 291, 2940, 34835, 44, 324, 3636, 291, 2940, 3268, 619, 538, 44, 324, 3636, 3756, 32, 3113, 6312, 5288, 26, 400, 1048, 11645, 440, 5288, 372, 6042, 2113, 400, 1519, 6020, 784, 32, 3034, 32, 102, 32, 371, 81, 1906, 81, 426, 463, 5379, 1425, 630, 32, 426, 614, 400, 1474, 47, 25931, 32, 878, 81, 681, 26, 327, 490, 284, 665, 617, 10931, 81, 452, 81, 26372, 26, 784, 30, 2361, 81, 20511, 711, 291, 10107, 280, 2361, 81, 20511, 32, 371, 463, 18352, 683, 291, 415, 646, 630, 32, 5843, 461, 10107, 44, 324, 630, 32, 5843, 81, 3968, 280, 308, 400, 5414, 32, 5086, 32, 3968, 81, 1070, 81, 10931, 26, 10931, 490, 324, 630, 32, 5843, 280, 5414, 32, 5086, 26, 784, 32, 426, 30, 5593, 630, 32, 5843, 81, 3968, 30, 5593, 630, 1114, 5284, 81, 4890, 27, 284, 665, 617, 23800, 81, 1877, 26, 784, 30, 2685, 30, 2670, 30, 2685, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 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, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 11, 11, 11, 11, 9, 9, 13, 12, 13, 11, 12, 10, 10, 11, 12, 10, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 12, 13, 13, 13, 12, 10, 10, 12, 13, 13, 13, 12, 6, 6, 10, 10, 9, 10, 10, 10, 8, 8, 6, 6, 10, 10, 9, 10, 9, 5, 5, 6, 6, 6, 6, 5, 5, 6, 7, 7, 6, 6, 6, 8, 10, 11, 11, 11, 10, 10, 10, 11, 13, 15, 15, 15, 15, 10, 10, 11, 17, 16, 17, 15, 16, 14, 15, 15, 15, 15, 15, 14, 16, 16, 12, 13, 14, 12, 10, 10, 11, 14, 13, 14, 14, 14, 13, 14, 13, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 10, 10, 4, 4, 5, 7, 8, 9, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 12, 13, 11, 12, 12, 12, 12, 12, 11, 12, 11, 6, 6, 9, 10, 8, 8, 10, 11, 10, 12, 11, 12, 10, 10, 10, 11, 12, 12, 12, 10, 10, 10, 11, 12, 12, 12, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 3, 3, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 4, 4, 4, 4, 9, 9, 0, 10, 10, 1, 2, 1, 4, 4, 4, 4, 10, 10, 0, 0, 11, 11, 1, 2, 11, 11, 0, 12, 12, 1, 2, 12, 12, 0, 0, 0, 13, 13, 1, 2, 13, 13, 0, 14, 14, 1, 2, 14, 14, 0, 15, 15, 1, 2, 15, 15, 0, 16, 16, 1, 2, 16, 16, 0, 17, 17, 1, 2, 17, 17, 3, 3, 0, 18, 18, 1, 2, 18, 18, 0, 19, 19, 1, 2, 19, 19, 3, 3, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 21, 21, 1, 2, 0, 1, 2, 2, 21, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 3, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 4, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 3, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 1199, 1188, 4549, 30, 12522, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 2726, 272, 14868, 370, 330, 34, 34, 34, 35, 81, 4332, 1425, 291, 308, 84, 25, 2393, 370, 323, 25, 505, 2232, 505, 1425, 20216, 308, 84, 25, 1286, 2516, 370, 323, 25, 505, 2232, 505, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 3274, 370, 324, 636, 1057, 4524, 81, 269, 370, 324, 1600, 47, 3378, 32, 36172, 26, 1536, 47, 2521, 30, 2267, 81, 2174, 81, 669, 47, 1815, 471, 324, 24070, 81, 1536, 47, 1815, 30, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 3274, 370, 324, 636, 1057, 2135, 81, 6368, 370, 324, 1600, 47, 3378, 32, 36172, 26, 1536, 47, 2521, 30, 2267, 81, 2174, 47, 1815, 30, 2267, 81, 2174, 81, 669, 47, 1815, 471, 324, 24070, 81, 1536, 47, 1815, 30, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 3274, 370, 324, 636, 1057, 1327, 370, 324, 1600, 47, 3378, 32, 39471, 26, 1536, 47, 1815, 471, 324, 24070, 81, 1536, 47, 1815, 30, 291, 2588, 291, 12522, 32, 18846, 1176, 26, 324, 1542, 81, 426, 1057, 3274, 370, 324, 636, 1057, 1855, 370, 324, 1600, 47, 3378, 32, 13343, 26, 10513, 81, 426, 1057, 5905, 370, 1244, 47, 2521, 30, 372, 47, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 324, 24070, 81, 1536, 47, 1815, 30, 291, 2588, 284, 1481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 12, 12, 12, 12, 11, 12, 10, 7, 7, 9, 9, 8, 9, 7, 7, 7, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 12, 12, 11, 12, 10, 10, 12, 12, 12, 12, 11, 12, 10, 7, 7, 9, 9, 8, 9, 7, 7, 7, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 7, 7, 9, 9, 8, 9, 7, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 12, 12, 11, 13, 13, 10, 11, 12, 10, 10, 11, 13, 12, 13, 13, 13, 13, 13, 10, 7, 7, 9, 9, 8, 9, 7, 7, 7, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 3, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 5, 0, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 3, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 0, 0, 5, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 5, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 41879, 1146, 1188, 319, 203, 465, 447, 18538, 203, 465, 485, 203, 465, 341, 203, 465, 1133, 203, 465, 19271, 22957, 203, 465, 19571, 203, 589, 3390, 2262, 284, 3051, 32, 29970, 346, 203, 2388, 47, 3155, 2649, 346, 203, 2388, 32, 29970, 346, 203, 2388, 32, 5721, 463, 9050, 81, 6691, 81, 18362, 370, 5087, 27, 203, 325, 485, 32, 8473, 37, 36, 44, 3051, 32, 1566, 16121, 440, 3604, 24055, 32, 5677, 657, 203, 2388, 32, 1311, 440, 59, 31, 67, 10748, 657, 203, 589, 595, 99, 36, 26, 102, 711, 284, 3051, 32, 10119, 26, 102, 27, 284, 3051, 32, 286, 1566, 1147, 346, 284, 3051, 32, 7745, 81, 470, 346, 284, 594, 47, 930, 32, 371, 346, 284, 14188, 34, 32, 7799, 26, 878, 47, 466, 26, 1232, 77, 92, 1130, 6897, 345, 683, 203, 10179, 2816, 47, 1428, 1881, 346, 203, 10179, 6662, 47, 1428, 1881, 346, 203, 10179, 1483, 47, 1428, 1881, 346, 203, 5501, 99, 47, 1428, 1881, 346, 203, 10179, 6662, 725, 47, 1428, 1881, 346, 203, 10179, 6662, 16385, 47, 1428, 1881, 346, 203, 25415, 36, 47, 1428, 1881, 346, 203, 25415, 36, 32, 470, 26, 34, 27, 203, 25415, 36, 83, 47, 1428, 1881, 346, 203, 25415, 36, 83, 32, 470, 26, 34, 27, 203, 25415, 37, 47, 1428, 1881, 346, 203, 25415, 37, 32, 470, 26, 34, 27, 203, 25415, 37, 83, 47, 1428, 1881, 346, 203, 25415, 37, 83, 32, 470, 26, 34, 27, 203, 930, 47, 1428, 1881, 346, 203, 19512, 47, 4075, 1881, 346, 203, 833, 7273, 47, 4075, 1881, 346, 203, 1232, 6020, 34, 30, 40, 34, 34, 30, 35, 40, 34, 30, 42, 34, 30, 40, 34, 30, 38, 34, 30, 37, 34, 30, 36, 34, 30, 35, 41, 30, 35, 39, 30, 35, 36, 30, 35, 34, 30, 40, 30, 38, 30, 36, 30, 34, 79, 203, 7163, 279, 6020, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 79, 203, 491, 4945, 6020, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 79, 203, 4506, 279, 6020, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32, 34, 30, 35, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 1, 1, 5, 6, 5, 0, 3, 2, 4, 4, 4, 0, 4, 3, 4, 3, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 4, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 5, 6, 6, 5, 7, 7, 7, 7, 7, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 6, 5, 2, 2, 5, 6, 6, 6, 5, 2, 2, 5, 6, 6, 6, 5, 2, 2, 4, 7, 6, 7, 6, 2, 2, 6, 5, 6, 5, 7, 6, 9, 9, 11, 10, 11, 10, 7, 9, 9, 0, 3, 3, 2, 4, 4, 4, 0, 3, 3, 2, 4, 4, 4, 0, 3, 3, 2, 4, 4, 4, 0, 3, 3, 2, 4, 4, 4, 0, 3, 3, 3, 2, 4, 4, 4, 0, 3, 3, 3, 2, 4, 4, 4, 0, 3, 3, 2, 4, 4, 4, 0, 4, 4, 3, 4, 3, 4, 3, 0, 3, 3, 3, 2, 4, 4, 4, 0, 4, 4, 4, 3, 4, 3, 4, 3, 0, 3, 3, 2, 4, 4, 4, 0, 4, 4, 3, 4, 3, 4, 3, 0, 3, 3, 3, 2, 4, 4, 4, 0, 4, 4, 4, 3, 4, 3, 4, 3, 0, 3, 2, 4, 4, 4, 0, 3, 2, 4, 4, 4, 0, 3, 3, 2, 4, 4, 4, 0, 3, 2, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 0, 3, 3, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 3, 3, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 3, 3, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 2, 7, 7, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 0, 11, 11, 1, 2, 2, 2, 11, 11, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 3, 3, 3, 2, 5, 5, 5, 2, 7, 7, 2, 9, 9, 2, 11, 11, 2, 13, 13, 2, 15, 15, 2, 17, 17, 2, 19, 19, 2, 21, 21, 2, 23, 23, 2, 25, 2, 27, 2, 29, 2, 31, 2, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 3, 2, 5, 5, 5, 2, 7, 7, 7, 2, 9, 9, 9, 2, 11, 11, 11, 2, 13, 13, 13, 2, 15, 15, 15, 2, 17, 17, 17, 2, 19, 19, 19, 2, 21, 21, 21, 2, 23, 23, 23, 2, 25, 25, 25, 2, 27, 27, 27, 2, 29, 29, 29, 2, 31, 31, 31, 2, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 3, 2, 5, 5, 5, 2, 7, 7, 7, 2, 9, 9, 9, 2, 11, 11, 11, 2, 13, 13, 13, 2, 15, 15, 15, 2, 17, 17, 17, 2, 19, 19, 19, 2, 21, 21, 21, 2, 23, 23, 23, 2, 25, 25, 25, 2, 27, 27, 27, 2, 29, 29, 29, 2, 31, 31, 31, 2, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 3, 2, 5, 5, 5, 2, 7, 7, 7, 2, 9, 9, 9, 2, 11, 11, 11, 2, 13, 13, 13, 2, 15, 15, 15, 2, 17, 17, 17, 2, 19, 19, 19, 2, 21, 21, 21, 2, 23, 23, 23, 2, 25, 25, 25, 2, 27, 27, 27, 2, 29, 29 ]
[ 465, 2361, 203, 465, 5741, 203, 1070, 8206, 13835, 32, 28783, 1188, 14091, 30, 13423, 203, 1070, 27847, 348, 32, 3337, 1188, 4575, 203, 1070, 456, 839, 841, 364, 32, 11201, 1188, 439, 29949, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 4226, 29949, 26, 1473, 711, 284, 4575, 26, 11201, 32, 2027, 1372, 14814, 30, 14091, 32, 59, 9117, 30, 439, 29949, 27, 284, 665, 1156, 1664, 3207, 784, 30, 12473, 711, 291, 630, 32, 14162, 280, 12473, 291, 630, 32, 12191, 81, 34396, 280, 3177, 291, 630, 32, 1357, 81, 12817, 280, 4247, 291, 630, 32, 1986, 81, 12817, 280, 4247, 291, 630, 32, 23666, 280, 1665, 291, 630, 32, 1357, 81, 15628, 280, 3177, 291, 630, 32, 37082, 81, 3364, 280, 225, 36, 326, 35, 38, 291, 630, 32, 1217, 81, 14458, 280, 2149, 16189, 630, 32, 3006, 81, 8262, 280, 1665, 291, 630, 32, 14162, 32, 3317, 14814, 26, 784, 30, 2933, 27, 284, 665, 15263, 590, 19524, 26, 784, 711, 291, 630, 32, 12191, 81, 34396, 280, 2933, 284, 665, 4719, 590, 19524, 26, 784, 711, 291, 415, 630, 32, 23666, 438, 646, 1665, 44, 324, 630, 32, 23666, 32, 4048, 590, 19524, 346, 324, 630, 32, 23666, 280, 1665, 291, 630, 32, 12191, 81, 34396, 280, 2933, 291, 630, 32, 14162, 32, 28402, 14814, 346, 284, 665, 20791, 590, 19524, 26, 784, 711, 291, 645, 8206, 13835, 32, 28783, 1188, 30633, 291, 630, 32, 12191, 81, 34396, 280, 3177, 291, 630, 1114, 17066, 81, 7026, 346, 291, 415, 630, 32, 23666, 438, 646, 1665, 44, 324, 30633, 32, 1851, 31313, 26, 34, 30, 630, 32, 23666, 32, 14957, 590, 19524, 27, 284, 665, 617, 17066, 81, 7026, 26, 784, 711, 291, 645, 8206, 13835, 32, 28783, 1188, 30633, 291, 415, 630, 32, 12191, 81, 34396, 44, 324, 442, 291, 7311, 280, 630, 32, 1986, 81, 12817, 2867, 784, 32, 37082, 81, 3364, 79, 291, 630, 32, 1986, 81, 12817, 280, 630, 32, 1986, 81, 12817, 77, 784, 32, 37082, 81, 3364, 10056, 291, 415, 7311, 610, 40496, 324, 442, 291, 1245, 32, 5707, 440, 20117, 904, 101, 3519, 372, 322, 2043, 392, 2069, 26, 7190, 490, 291, 630, 32, 14162, 32, 1821, 26, 7190, 27, 291, 30633, 32, 1851, 31313, 26, 34, 30, 630, 1114, 17066, 81, 7026, 27, 284, 665, 3909, 14814, 26, 784, 30, 22595, 30, 20108, 711, 291, 630, 32, 23666, 280, 22595, 291, 1201, 20108, 438, 3177, 291, 22595, 32, 14957, 590, 19524, 346, 284, 665, 40610, 14814, 26, 784, 711, 291, 630, 32, 23666, 280, 1665, 284, 665, 2866, 26, 784, 30, 706, 711, 291, 645, 8206, 13835, 32, 28783, 1188, 30633, 291, 630, 32, 1986, 81, 12817, 280, 630, 32, 1986, 81, 12817, 474, 706, 291, 630, 1114, 17066, 81, 7026, 346, 291, 665, 622, 81, 7026, 81, 605, 2262, 324, 415, 630, 32, 23666, 438, 646, 1665, 44, 400, 1245, 32, 5707, 440, 1104, 299, 1829, 706, 645, 322, 22595, 657, 400, 630, 32, 23666, 32, 14957, 590, 19524, 346, 291, 30633, 32, 1851, 31313, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 7, 6, 7, 7, 7, 5, 5, 6, 7, 7, 5, 5, 6, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 7, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 6, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 6, 6, 9, 10, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 5, 5, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 5, 9, 10, 10, 9, 10, 9, 9, 11, 12, 10, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 5, 5, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 4, 4, 6, 6, 8, 9, 9, 9, 7, 10, 9, 10, 10, 10, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 7, 10, 9, 10, 10, 10, 8, 4, 4, 5, 6, 6, 5, 5, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 10, 9, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 7, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 6, 6, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 6, 7, 5, 5, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 7, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 7, 9, 10, 8, 8, 8, 7, 7, 7, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 8, 8, 12, 13, 11, 12, 12, 12, 11, 4, 4, 7, 8, 8, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 6, 6, 1, 2, 1, 2, 6, 6, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 1, 1, 5, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 3, 3, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 2, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 4, 4, 3, 0, 2, 1, 1, 1, 3, 3, 3, 0, 2, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 2, 0, 0, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 1, 1, 4, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 6, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 0, 2, 0, 0, 4, 4, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 7, 1, 2, 1, 2, 7, 7, 0, 2, 0, 0, 4, 4, 8, 2, 1, 2, 2, 2, 8, 8, 0, 0, 1, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1 ]
[ 465, 2361, 203, 465, 2322, 203, 465, 11171, 203, 465, 4395, 203, 465, 13092, 203, 1070, 316, 5488, 81, 1199, 32, 3378, 1188, 9205, 30, 9205, 1533, 203, 1070, 316, 5488, 81, 3245, 81, 4627, 32, 3245, 81, 4018, 1188, 9205, 1572, 203, 1070, 316, 5488, 81, 3245, 81, 4627, 32, 8654, 81, 3245, 81, 4018, 1188, 13919, 3782, 1572, 203, 589, 894, 81, 4526, 81, 8654, 81, 3245, 26, 284, 1123, 30, 284, 3523, 30, 284, 3964, 81, 3542, 81, 9874, 81, 266, 81, 1199, 30, 284, 3964, 81, 9874, 81, 10899, 30, 284, 1244, 81, 496, 30, 284, 3502, 81, 496, 81, 22476, 30, 284, 5296, 104, 35, 81, 1237, 81, 1580, 81, 1793, 81, 496, 81, 22476, 30, 284, 47410, 2675, 30, 203, 711, 284, 10153, 81, 6572, 280, 3964, 81, 3542, 81, 9874, 81, 266, 81, 1199, 32, 314, 81, 284, 10153, 81, 10899, 280, 2354, 26, 3287, 81, 9874, 81, 10899, 26, 466, 26, 9874, 81, 6572, 2610, 284, 4533, 81, 869, 81, 678, 280, 313, 678, 20, 284, 4533, 81, 869, 81, 853, 280, 313, 853, 20, 284, 2799, 81, 2121, 81, 869, 280, 301, 2121, 81, 869, 81, 678, 44, 4533, 81, 869, 81, 853, 111, 284, 2799, 81, 893, 280, 313, 48657, 20, 284, 2799, 81, 2501, 280, 3037, 3246, 1446, 284, 47410, 2675, 32, 470, 2121, 440, 613, 22922, 81, 4975, 81, 779, 392, 596, 26, 1536, 81, 496, 32, 314, 37115, 284, 3992, 81, 4018, 280, 13919, 3782, 1572, 26, 291, 6382, 81, 1275, 47, 3140, 81, 893, 30, 291, 4774, 47, 3140, 81, 2501, 30, 291, 4533, 81, 6862, 47, 3140, 81, 2121, 81, 869, 30, 291, 10153, 81, 6572, 47, 9874, 81, 6572, 30, 291, 10153, 81, 10899, 47, 9874, 81, 10899, 30, 284, 829, 284, 623, 4395, 32, 2675, 26, 291, 313, 268, 5488, 81, 3245, 81, 4627, 32, 8654, 81, 3245, 81, 4018, 3107, 313, 1700, 81, 93, 42, 101, 81, 4432, 104, 35, 81, 1237, 81, 1580, 20, 284, 829, 619, 24731, 81, 1580, 44, 291, 623, 4395, 32, 2675, 26, 324, 313, 268, 5488, 81, 8369, 32, 93, 42, 101, 32, 22476, 3107, 313, 1700, 81, 93, 42, 101, 81, 34083, 35, 81, 1237, 81, 1580, 392, 324, 5296, 104, 35, 81, 1237, 81, 1580, 81, 1793, 81, 496, 81, 22476, 26, 2951, 81, 496, 81, 22476, 471, 291, 8063, 324, 24731, 81, 3245, 81, 314, 280, 3992, 81, 4018, 32, 4526, 346, 324, 3272, 81, 3245, 280, 308, 400, 3523, 32, 1217, 26, 3782, 27, 400, 638, 2029, 81, 1170, 26, 7878, 81, 3245, 81, 314, 47, 8654, 81, 3245, 81, 314, 27, 400, 638, 658, 81, 271, 81, 4108, 346, 324, 829, 324, 1201, 3272, 81, 3245, 324, 1201, 3272, 81, 3245, 32, 4205, 81, 1275, 610, 2799, 81, 893, 324, 1201, 3272, 81, 3245, 32, 3515, 610, 2361, 32, 16958, 26, 3140, 81, 2501, 27, 324, 1201, 2361, 32, 16958, 26, 3140, 81, 2121, 81, 869, 27, 328, 3272, 81, 3245, 32, 2121, 81, 6862, 324, 1201, 3272, 81, 3245, 32, 1517, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 2, 2, 5, 5, 4, 4, 6, 8, 8, 8, 8, 8, 8, 10, 10, 11, 11, 11, 10, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 5, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 2, 2, 6, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 9, 9, 9, 8, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 6, 7, 8, 8, 8, 6, 6, 6, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 6, 2, 2, 3, 8, 9, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 8, 8, 3, 3, 3, 5, 9, 10, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 11, 9, 9, 5, 5, 9, 9, 9, 9, 8, 8, 11, 11, 10, 11, 10, 6, 6, 9, 9, 8, 8, 9, 9, 15, 16, 15, 16, 15, 13, 13, 14, 14, 14, 13, 15, 15, 15, 15, 15, 14, 15, 15, 15, 15, 15, 13, 11, 11, 12, 12, 12, 12, 12, 11, 9, 9, 6, 6, 7, 8, 8, 6, 6, 7, 10, 10, 9, 10, 10, 10, 8, 8, 9, 9, 6, 6, 7, 10, 10, 9, 10, 8, 8, 10, 11, 10, 11, 11, 11, 10, 6, 6, 7, 10, 11, 10, 11, 11, 11, 11, 11, 10, 8, 8, 10, 10, 9, 10, 10, 10, 6, 6, 7, 10, 10, 9, 10, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 5, 5, 0, 0, 6, 6, 0, 0, 0, 0, 0, 1, 2, 2, 2, 6, 6, 0, 0, 7, 7, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 7, 7, 0, 0, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 7, 7, 7, 7, 2, 2, 2, 9, 9, 2, 2, 2, 11, 11, 11, 11, 2, 2, 2, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 2, 2, 2, 15, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 1, 4, 4, 9, 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, 2, 1, 1, 0, 0, 0, 0, 9, 9, 9, 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, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 3, 3, 4, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 3, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 3, 3, 6, 0, 0, 0, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 465, 8527, 32, 1199, 32, 3378, 32, 30550, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 2815, 280, 2933, 284, 6440, 280, 428, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 13860, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 2837, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 11447, 81, 878, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 34, 34, 3662, 324, 2505, 291, 2588, 291, 12522, 32, 44563, 26, 324, 636, 1057, 9927, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 2837, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 4594, 81, 878, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 34, 34, 3662, 400, 2726, 2862, 81, 770, 370, 4549, 32, 36172, 26, 2837, 81, 2174, 81, 669, 47, 1815, 30, 9541, 81, 426, 1057, 770, 9581, 13356, 400, 2726, 2135, 81, 1877, 370, 4549, 32, 36172, 26, 2837, 81, 2174, 47, 1815, 30, 9541, 81, 426, 1057, 2135, 4459, 13356, 324, 2505, 291, 2588, 291, 12522, 32, 44563, 26, 324, 636, 1057, 21176, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 2837, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 15090, 81, 770, 370, 4549, 32, 36172, 26, 2837, 81, 2174, 47, 1815, 30, 9541, 81, 426, 1057, 770, 354, 14192, 13356, 400, 2726, 639, 81, 2468, 370, 4549, 32, 4007, 27108, 1176, 6182, 400, 2726, 8319, 370, 4549, 32, 13343, 26, 267, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 28781, 30, 372, 1057, 104, 13786, 32, 13860, 13356, 324, 2505, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 11447, 370, 324, 636, 1057, 4594, 370, 324, 1600, 47, 3378, 32, 13343, 26, 267, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 28781, 30, 372, 1057, 104, 13786, 32, 9927, 1425, 291, 2588, 284, 1481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 9, 9, 7, 7, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 7, 7, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 13, 13, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 18, 17, 18, 16, 17, 15, 16, 14, 15, 12, 12, 13, 15, 15, 15, 15, 15, 9, 9, 7, 7, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 12, 12, 11, 16, 15, 16, 14, 15, 13, 14, 12, 13, 10, 10, 11, 13, 13, 13, 13, 13, 7, 7, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 0, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 0, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 2, 2, 1, 2, 2, 1, 2, 7, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 203, 27997, 22752, 436, 4740, 623, 2276, 32, 203, 9592, 203, 465, 44524, 203, 465, 1619, 1356, 203, 465, 2322, 203, 465, 22977, 203, 465, 16539, 203, 465, 11171, 203, 1070, 26790, 32, 1237, 1188, 12798, 30, 1420, 30, 4070, 30, 10603, 30, 4162, 30, 2196, 203, 1070, 26790, 32, 12023, 32, 2536, 1188, 5375, 203, 589, 739, 81, 2816, 26, 983, 30, 2926, 30, 6562, 47, 1815, 30, 793, 81, 9860, 47, 2700, 711, 284, 5881, 284, 2614, 14642, 1340, 25429, 461, 25652, 30, 458, 667, 284, 3404, 322, 2926, 432, 529, 983, 82, 372, 529, 2816, 2541, 284, 1519, 44, 322, 1519, 372, 322, 803, 556, 3362, 13696, 2926, 438, 3998, 739, 32, 284, 6562, 44, 11987, 688, 4870, 438, 312, 15282, 544, 312, 6562, 3408, 461, 529, 1945, 82, 284, 556, 529, 9860, 82, 1395, 526, 1654, 372, 739, 322, 2926, 32, 284, 793, 81, 9860, 44, 1755, 16642, 1412, 6562, 438, 2933, 32, 225, 4417, 529, 9860, 82, 4174, 432, 529, 1945, 2541, 284, 5881, 284, 3420, 280, 2196, 415, 646, 6562, 813, 12798, 415, 793, 81, 9860, 813, 1420, 284, 3420, 463, 26030, 2149, 19553, 1643, 26, 13193, 26, 2816, 471, 1519, 490, 203, 589, 12780, 81, 761, 26, 3607, 30, 6562, 47, 1815, 30, 793, 81, 9860, 47, 2700, 30, 5016, 1057, 32, 30386, 7831, 284, 5881, 284, 4870, 44, 1519, 372, 312, 2196, 556, 6562, 803, 284, 1670, 4870, 5375, 30, 1933, 4870, 372, 4870, 32, 30386, 284, 5881, 284, 3420, 280, 2196, 415, 646, 6562, 813, 12798, 415, 793, 81, 9860, 813, 1420, 284, 415, 5375, 26, 3607, 711, 291, 3420, 440, 2219, 904, 101, 904, 101, 32, 30386, 20, 904, 308, 3607, 30, 4870, 490, 203, 589, 13316, 81, 3316, 26, 1617, 30, 3466, 30, 6562, 47, 1815, 30, 793, 81, 9860, 47, 2700, 711, 284, 5881, 284, 1561, 44, 312, 803, 1519, 284, 3466, 44, 312, 803, 556, 3362, 1519, 284, 1670, 3466, 438, 600, 4905, 3362, 30, 458, 3217, 312, 1519, 372, 322, 29155, 432, 1561, 4797, 322, 3362, 3466, 32, 284, 12779, 30, 415, 3466, 438, 4717, 30355, 32, 284, 1348, 438, 6364, 436, 7867, 600, 4648, 4870, 1412, 8050, 883, 526, 284, 312, 803, 556, 312, 3362, 32, 284, 5881, 284, 3420, 280, 2196, 415, 646, 6562, 813, 12798, 415, 793, 81, 9860, 813, 1420, 284, 623, 4070, 26, 5828, 463, 47020, 1425, 17161, 81, 2585, 47, 1815, 711, 291, 415, 3420, 463, 858, 429, 86, 904, 101, 25, 904, 3466, 547, 47655, 44, 324, 3466, 280, 2322, 32, 983, 32, 2524, 26, 3316, 30, 2322, 32, 983, 32, 15705, 26, 1617, 490, 284, 442, 3466, 203, 589, 803, 81, 2387, 26, 3607, 30, 8050, 30, 1619, 47, 2521, 30, 793, 81, 45287, 47, 2700, 30, 284, 3079, 81, 1515, 47, 2521, 30, 12780, 47, 1815, 30, 22980, 81, 1696, 81, 2816, 47, 2700, 30, 2926, 47, 2521, 711, 284, 3420, 280, 2196, 284, 8050, 280, 13316, 81, 3316, 26, 3607, 30, 8050, 30, 6562, 47, 2700, 27, 284, 415, 22980, 81, 1696, 81, 2816, 461, 2926, 438 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 5, 5, 6, 5, 5, 6, 6, 7, 7, 6, 6, 2, 2, 5, 9, 9, 9, 8, 7, 9, 9, 10, 9, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 3, 5, 5, 5, 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, 4, 4, 5, 5, 6, 5, 5, 6, 6, 7, 7, 6, 6, 2, 2, 3, 5, 6, 5, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 5, 5, 6, 5, 5, 6, 6, 7, 7, 6, 6, 2, 2, 3, 7, 9, 9, 11, 11, 7, 9, 9, 8, 9, 7, 3, 3, 5, 8, 11, 11, 11, 11, 11, 11, 9, 9, 8, 7, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 13, 14, 12, 13, 12, 13, 12, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 2, 4, 4, 4, 4, 3, 4, 2, 2, 3, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 2, 2, 3, 5, 5, 5, 5, 4, 4, 5 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 4, 4, 2, 2, 4, 4, 4, 4, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 7, 1, 1, 2, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 4, 4, 2, 2, 4, 4, 4, 4, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 11, 11, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 4, 4, 2, 2, 4, 4, 4, 4, 2, 1, 0, 1, 1, 2, 1, 0, 0, 3, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 0, 12, 12, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 11, 2, 2, 2, 0, 0, 0, 0, 13, 2, 2, 2, 15, 2, 2, 12, 12, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 2, 0, 0, 0, 0, 1, 1, 2 ]
[ 9592, 2272, 6723, 9792, 8989, 9592, 203, 465, 5237, 30, 2322, 30, 1133, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 33115, 346, 34512, 6054, 683, 203, 465, 2616, 378, 20773, 2140, 30, 2197, 26896, 30, 1359, 30, 1245, 81, 283, 203, 465, 27740, 290, 14329, 30, 17469, 278, 543, 14329, 30, 29960, 14329, 30, 16852, 107, 723, 27931, 203, 1070, 43008, 1188, 6833, 203, 589, 3219, 26, 3926, 711, 284, 3649, 2678, 284, 2678, 280, 5523, 203, 589, 2575, 2262, 284, 5881, 346, 967, 1665, 284, 2575, 667, 30, 13107, 3919, 322, 1169, 322, 10591, 9592, 284, 17558, 280, 1133, 32, 1003, 346, 3701, 1245, 81, 283, 32, 751, 89, 440, 15624, 32714, 299, 7818, 392, 2678, 30, 4479, 352, 18278, 2811, 6890, 284, 2197, 23209, 1562, 23256, 346, 284, 18296, 1043, 280, 1133, 32, 1003, 17662, 20896, 3701, 1245, 81, 283, 32, 751, 89, 440, 2374, 1067, 299, 7818, 9435, 7504, 392, 2678, 30, 4479, 352, 18278, 2811, 6890, 284, 1245, 81, 283, 32, 751, 89, 2884, 1043, 18296, 328, 6615, 2197, 23209, 44, 313, 474, 596, 26, 17517, 1043, 471, 2678, 30, 4479, 352, 18278, 17411, 299, 6890, 284, 415, 18296, 1043, 333, 1359, 32, 19042, 1063, 440, 7754, 10280, 4456, 1245, 81, 283, 32, 751, 89, 440, 15160, 299, 392, 99, 30, 4479, 352, 18278, 2811, 6890, 4456, 1133, 32, 7840, 26, 1163, 32, 19042, 1063, 440, 7754, 657, 31, 17517, 1043, 27, 225, 203, 589, 2197, 23209, 3160, 26, 98, 30, 2678, 30, 1505, 711, 284, 5881, 308, 965, 499, 596, 30, 14323, 1300, 30, 596, 27, 284, 2197, 23209, 2364, 415, 1505, 438, 2091, 9592, 284, 17558, 280, 1133, 32, 1003, 346, 284, 2364, 280, 2197, 26896, 32, 1637, 1339, 346, 284, 1245, 81, 283, 32, 751, 89, 440, 2374, 1067, 299, 313, 474, 298, 30, 2678, 30, 4479, 352, 18278, 2811, 392, 313, 10529, 6890, 284, 2364, 32, 2094, 26, 98, 27, 284, 415, 1359, 32, 19042, 1063, 440, 64, 735, 290, 16056, 46825, 1553, 44, 291, 415, 27740, 290, 14329, 32, 297, 64, 735, 290, 26, 1526, 30, 1359, 32, 19042, 1063, 440, 64, 735, 290, 1043, 9189, 2131, 44, 324, 1245, 81, 283, 32, 751, 89, 26, 98, 474, 313, 1401, 2583, 17413, 318, 645, 322, 13521, 4414, 2678, 30, 4479, 352, 18278, 2024, 6890, 284, 415, 1359, 32, 19042, 1063, 440, 19939, 278, 543, 16056, 46825, 1553, 44, 291, 415, 17469, 278, 543, 14329, 32, 297, 19939, 278, 543, 26, 1526, 30, 1359, 32, 19042, 1063, 440, 69, 1376, 282, 10675, 2131, 44, 324, 1245, 81, 283, 32, 751, 89, 26, 98, 474, 313, 1401, 2583, 2535, 6112, 328, 312, 8215, 4414, 2678, 30, 4479, 352, 18278, 2024, 6890, 284, 415, 1359, 32, 19042, 1063, 440, 22808, 3173, 16056, 46825, 1553, 44, 291, 415, 29960, 14329, 32, 297, 22808, 3173, 26, 1526, 30, 1359, 32, 19042, 1063, 440, 22808, 3173, 10675, 2131, 44, 324, 1245, 81, 283, 32, 751, 89, 26, 98, 474, 313, 1401, 312, 8215, 432, 29960, 328, 322, 1780, 4414, 2678, 30, 4479, 352, 18278, 2024, 6890, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 6, 4, 6, 6, 0, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 2, 2, 4, 4, 0, 1, 1, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 6, 6, 5, 6, 6, 5, 7, 7, 7, 7, 7, 5, 5, 5, 7, 6, 9, 9, 2, 2, 5, 5, 5, 5, 2, 2, 5, 4, 4, 7, 8, 7, 6, 2, 2, 6, 6, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 6, 9, 9, 2, 2, 6, 6, 5, 6, 6, 4, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 8, 5, 5, 5, 7, 6, 9, 9, 9, 2, 2, 3, 5, 4, 4, 6, 7, 7, 6, 8, 8, 3, 3, 8, 8, 7, 8, 8, 7, 9, 9, 9, 8, 7, 7, 9, 8, 11, 11, 4, 4, 7, 8, 7, 11, 10, 11, 11, 10, 12, 12, 8, 9, 9, 7, 0, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 7, 6, 7, 7, 6, 2, 2, 6, 6, 5, 6, 6, 5, 8, 8, 8, 8, 6, 6, 5, 5, 5, 5, 7, 6, 9, 9, 7, 9, 9, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 6, 7, 7, 6, 8, 8, 8, 8, 8, 5, 3, 3, 3, 5, 8, 8, 7, 8, 8, 8, 8, 7, 8, 7, 7, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 5, 5, 5, 10, 10, 9, 10, 10, 9, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 11, 10, 13, 13, 2, 2, 3, 6, 7, 7, 6, 8, 8, 8, 8, 8, 5, 3, 3, 3, 5, 8, 8, 8, 7, 8, 8, 8, 8, 7, 8, 7, 7, 9, 10, 10, 9, 11, 11, 11, 11, 11, 5, 5, 5, 10, 10, 9, 10, 10, 9, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 11, 10, 13, 13, 2, 2, 3, 6, 7, 7, 6, 8, 8, 8, 8, 5, 3, 3, 3, 5, 8, 7, 8, 8, 8, 7, 8, 7, 7, 9, 10, 10, 9, 11, 11, 11, 11, 5, 5, 5, 10, 10, 9, 10, 10, 9, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 11, 10, 13, 13, 2 ]
[ 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 5, 5, 5, 5, 0, 6, 6, 2, 1, 2, 6, 6, 0, 4, 4, 0, 0, 0, 7, 7, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 5, 1, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 5, 1, 2, 4, 4, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 1, 1, 2, 4, 4, 7, 0, 1, 1, 0, 2, 2, 1, 1, 2, 7, 7, 0, 0, 0, 2, 2, 1, 1, 1, 2, 3, 1, 1, 0, 5, 1, 2, 3, 3, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 2, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 1, 2, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 5, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 5, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 1, 2, 4, 4, 6, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 6, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 1, 2, 4, 4, 7, 0, 2, 2, 1, 1, 1, 1, 2, 2, 7, 7, 7, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 1, 2, 4 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 316, 203, 1070, 802, 1188, 47484, 203, 505, 464, 505, 280, 2107, 25398, 882, 370, 330, 371, 81, 1643, 81, 1132, 370, 330, 30066, 81, 1643, 81, 466, 370, 2607, 330, 6309, 81, 1643, 81, 1495, 81, 466, 370, 330, 22987, 81, 39843, 81, 1643, 81, 1132, 370, 2607, 330, 1761, 2207, 1176, 785, 203, 81, 966, 81, 88, 626, 81, 268, 280, 316, 32, 6993, 463, 48614, 6488, 25, 2033, 3775, 15584, 1540, 6488, 25, 2033, 3775, 330, 1371, 2867, 19, 5327, 77, 111, 1130, 683, 261, 203, 589, 8520, 81, 1643, 81, 1495, 81, 466, 26, 10555, 30, 296, 2285, 30, 11492, 711, 284, 415, 18146, 438, 1665, 44, 291, 442, 4247, 284, 2152, 280, 8930, 25, 474, 18146, 284, 415, 11492, 44, 291, 2152, 1454, 330, 20149, 474, 11492, 284, 415, 296, 2285, 44, 291, 2152, 1454, 25487, 474, 296, 2285, 284, 2152, 1454, 330, 8129, 284, 442, 2152, 203, 589, 6122, 81, 1643, 81, 466, 26, 88, 466, 711, 284, 2152, 280, 1605, 284, 436, 21470, 30, 18146, 30, 296, 2285, 30, 11492, 328, 47484, 922, 2208, 26, 88, 466, 711, 291, 415, 18146, 438, 1665, 44, 324, 2152, 32, 1689, 1162, 2507, 30, 1665, 490, 324, 4036, 291, 1600, 81, 466, 280, 8520, 81, 1643, 81, 1495, 81, 466, 26, 10555, 30, 296, 2285, 30, 11492, 27, 291, 2152, 32, 1689, 1162, 2507, 30, 1600, 81, 466, 490, 284, 442, 2152, 203, 589, 21506, 81, 39843, 81, 1643, 81, 1132, 26, 88, 466, 711, 284, 2152, 30, 1769, 81, 19946, 280, 2550, 225, 34, 284, 1477, 30, 943, 30, 7323, 81, 416, 280, 225, 34, 30, 225, 34, 30, 225, 34, 284, 436, 2530, 328, 617, 966, 81, 88, 626, 81, 268, 32, 1809, 1731, 26, 88, 466, 711, 291, 1477, 30, 943, 30, 2350, 280, 2530, 32, 1366, 1026, 2530, 32, 416, 1026, 2530, 32, 1363, 346, 291, 415, 7323, 81, 416, 333, 1477, 44, 324, 2152, 1454, 296, 466, 77, 5586, 81, 416, 44, 1366, 79, 291, 7323, 81, 416, 280, 943, 291, 415, 2350, 610, 23728, 25, 556, 2350, 610, 330, 1540, 950, 324, 2152, 1454, 2350, 324, 4036, 291, 2152, 1454, 330, 4572, 101, 23, 101, 25, 904, 308, 1449, 81, 19946, 30, 2350, 77, 35, 19572, 291, 1769, 81, 19946, 1454, 225, 35, 284, 2152, 1454, 296, 466, 77, 5586, 81, 416, 10056, 284, 442, 2152, 203, 81, 1844, 45852, 280, 330, 23550, 1271, 33618, 25, 203, 81, 10301, 45852, 280, 330, 87, 32025, 30917, 35767, 23878, 203, 81, 2319, 81, 5834, 280, 5436, 43270, 106, 30, 629, 27, 436, 816, 328, 617, 1844, 45852, 79, 474, 353, 10440, 106, 30, 1897, 27, 436, 816, 328, 617, 10301, 45852, 1130, 203, 81, 2319, 81, 5834, 710, 101, 785, 280, 596, 203, 589, 622, 81, 1643, 81, 1132, 26, 88, 466, 711, 284, 14971, 280, 47484, 346, 284, 296, 1132, 30, 296, 5321, 30, 617, 981, 417, 280, 5518, 5518, 739, 346, 284, 665, 617, 669, 81, 626, 26, 626, 426, 30, 827 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 7, 7, 7, 5, 5, 5, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 2, 2, 4, 4, 7, 5, 5, 2, 2, 3, 3, 3, 3, 6, 6, 9, 7, 7, 2, 2, 3, 4, 3, 3, 3, 6, 6, 7, 7, 8, 2, 2, 4, 4, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 3, 3, 7, 6, 5, 6, 6, 5, 3, 3, 5, 6, 6, 5, 5, 5, 9, 10, 9, 11, 10, 10, 10, 6, 6, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 9, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 8, 9, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 6, 6, 4, 4, 5, 6, 2, 2, 5, 5, 5, 5, 6, 6, 4, 4, 6, 5, 5, 6, 5, 5, 6, 2, 2, 3, 3, 3, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 6, 6, 5, 3, 3, 7, 7, 7, 7, 6, 6, 9, 10, 9, 7, 9, 10, 9, 7, 9, 10, 9, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 8, 8, 10, 9, 11, 11, 11, 10, 11, 9, 4, 4, 7, 7, 6, 6, 4, 4, 5, 7, 7, 9, 6, 6, 7, 7, 9, 9, 5, 5, 8, 8, 6, 6, 4, 4, 6, 6, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 8, 8, 9, 11, 10, 4, 4, 7, 7, 6, 6, 7, 2, 2, 4, 4, 6, 5, 7, 7, 7, 6, 2, 2, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 8, 7, 7, 7, 6, 7, 7, 7, 8, 8, 6, 5, 5, 5, 8, 7, 7, 7, 6, 7, 7, 7, 8, 8, 6, 0, 4, 4, 4, 4, 3, 5, 5, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 2, 2, 6, 5, 5, 6, 5, 5, 6, 6, 4, 4, 5, 5, 7, 2, 2, 3, 4, 4, 4, 4, 5, 5, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 2, 2, 2, 4, 4, 2, 2, 2, 2, 0, 0, 1, 2, 2, 4, 4, 3, 1, 3, 3, 3, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 4, 4, 5, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 0, 4, 4, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 7, 7, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 5, 5, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 5, 5, 3, 0, 0, 2, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 3, 3, 5, 5, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 3, 0, 2, 5, 5, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 0, 0, 0, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 12, 12, 1, 1, 1, 1, 2, 1, 1, 2, 12, 12, 0, 0, 1, 4, 4, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2 ]
[ 465, 32714, 107, 203, 465, 2361, 203, 465, 316, 203, 1070, 14347, 32, 3028, 1188, 16281, 1260, 1943, 1097, 203, 39532, 1279, 284, 330, 38622, 11501, 8849, 370, 284, 330, 45837, 11501, 31748, 370, 284, 330, 41512, 11501, 3122, 370, 284, 330, 43341, 11501, 6082, 370, 284, 330, 45874, 11501, 1027, 370, 284, 330, 47064, 11501, 24067, 370, 284, 330, 69, 28036, 11501, 21462, 370, 203, 111, 203, 823, 21417, 31294, 44907, 26, 37795, 107, 32, 44907, 711, 284, 636, 280, 313, 9881, 24303, 20, 284, 6660, 81, 20798, 280, 3037, 9881, 24303, 32, 508, 1446, 284, 1477, 81, 11400, 280, 308, 291, 330, 641, 555, 1499, 32, 9881, 24303, 32, 508, 33, 13471, 13093, 284, 829, 284, 5822, 81, 7843, 280, 225, 34, 32, 39, 284, 665, 3185, 26, 784, 30, 1789, 711, 291, 19990, 280, 1789, 32, 16689, 463, 306, 507, 13283, 314, 347, 2988, 31, 13471, 31, 36, 1446, 306, 507, 13283, 823, 347, 2645, 31, 1501, 1446, 33, 507, 33, 98, 33, 2008, 33, 83, 10820, 6928, 1814, 8281, 346, 291, 436, 1984, 328, 19990, 44, 324, 6761, 32714, 107, 32, 1104, 26, 1986, 32, 965, 2524, 26, 965, 471, 3309, 47, 784, 32, 2208, 81, 2157, 27, 284, 665, 3185, 81, 2157, 26, 784, 30, 1789, 711, 291, 1596, 44, 324, 706, 280, 1789, 32, 16689, 463, 306, 1423, 77, 4752, 26, 878, 1026, 20, 16457, 3830, 33, 878, 346, 1814, 8281, 81, 2232, 346, 324, 706, 280, 2361, 32, 12474, 26, 605, 27, 291, 2940, 12678, 44, 324, 442, 291, 2940, 2361, 32, 3265, 11867, 924, 44, 324, 706, 280, 706, 32, 3227, 33103, 2040, 1208, 563, 766, 100, 78, 96, 370, 9142, 324, 706, 280, 2361, 32, 12474, 26, 605, 27, 291, 415, 646, 706, 44, 324, 442, 291, 4308, 280, 301, 324, 330, 4474, 25, 499, 1897, 26, 605, 710, 8512, 4902, 16457, 16578, 324, 330, 9512, 25, 499, 1897, 26, 605, 710, 8512, 4902, 17155, 16578, 324, 330, 12787, 25, 499, 1789, 32, 965, 30, 324, 330, 612, 25, 499, 1789, 32, 965, 30, 324, 330, 3225, 81, 2620, 25, 499, 706, 710, 2468, 4902, 16982, 2438, 2188, 324, 330, 5702, 25, 499, 706, 710, 2468, 4902, 2468, 3325, 543, 2188, 324, 330, 1293, 25, 499, 706, 710, 2468, 4902, 2468, 6062, 2188, 324, 330, 38482, 25, 499, 706, 710, 2468, 4902, 29445, 1227, 2188, 324, 330, 7035, 25, 499, 330, 2045, 370, 324, 330, 426, 25, 499, 706, 710, 426, 2188, 291, 320, 291, 1596, 44, 324, 11632, 280, 706, 710, 31864, 14896, 785, 324, 415, 11632, 44, 400, 4308, 710, 31864, 81, 14991, 785, 280, 11632, 291, 2940, 44, 324, 3097, 291, 6761, 16281, 1260, 1943, 1097, 14605, 4642, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 3, 2, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 4, 4, 5, 5, 5, 5, 5, 5, 8, 11, 10, 11, 10, 13, 12, 13, 13, 12, 13, 12, 10, 11, 13, 12, 13, 13, 13, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 8, 8, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 5, 5, 6, 6, 6, 6, 5, 5, 6, 7, 8, 8, 8, 6, 6, 6, 9, 9, 11, 12, 11, 13, 13, 13, 13, 14, 14, 14, 13, 11, 7, 7, 9, 9, 11, 12, 11, 12, 11, 4, 4, 5, 6, 5, 5, 5, 4, 4, 6, 6, 7, 7, 10, 10, 8, 8, 10, 13, 12, 14, 14, 13, 13, 7, 7, 10, 10, 8, 8, 10, 13, 12, 14, 14, 13, 13, 7, 7, 10, 10, 8, 8, 9, 10, 7, 7, 7, 10, 10, 8, 8, 9, 10, 7, 7, 7, 10, 10, 10, 10, 8, 8, 10, 12, 12, 11, 11, 11, 7, 7, 10, 10, 8, 8, 10, 12, 12, 11, 11, 11, 11, 7, 7, 10, 10, 8, 8, 10, 12, 12, 11, 11, 11, 7, 7, 10, 10, 8, 8, 10, 12, 12, 11, 11, 11, 7, 7, 10, 10, 8, 8, 10, 10, 7, 7, 10, 10, 8, 8, 9, 11, 11, 7, 7, 4, 4, 5, 5, 5, 8, 8, 9, 11, 11, 11, 6, 6, 7, 7, 7, 7, 11, 13, 13, 13, 13, 10, 10, 5, 5, 6, 6, 6, 4, 4, 6, 8, 8, 8, 8, 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 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 5, 5, 1, 1, 2, 0, 0, 1, 2, 2, 5, 5, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 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, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 4, 1, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 3, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 5, 5, 2, 2, 2, 2, 2, 1, 2, 7, 7, 2, 2, 2, 2, 2, 1, 1, 1, 2, 9, 9, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 11, 11, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 13, 13, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 15, 15, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 17, 17, 1, 2, 2, 2, 1, 2, 19, 19, 2, 1, 2, 2, 2, 4, 4, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 3, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 45977, 203, 465, 2322, 203, 465, 5237, 203, 500, 32, 12757, 710, 70, 22525, 21199, 81, 15811, 81, 9492, 1392, 785, 280, 330, 1815, 25, 203, 1270, 44, 284, 645, 29947, 1188, 2290, 81, 5043, 30, 4705, 30, 15363, 284, 645, 29947, 32, 2501, 32, 1832, 81, 407, 1188, 1968, 81, 407, 203, 7343, 29986, 44, 284, 645, 1673, 2304, 32, 1262, 1188, 308, 291, 4705, 30, 291, 2290, 81, 5043, 284, 829, 203, 1070, 8482, 1823, 1188, 308, 284, 1156, 5546, 81, 28693, 7642, 284, 1156, 5546, 81, 4243, 7642, 284, 1156, 2310, 7642, 284, 1156, 4984, 81, 965, 7642, 284, 1156, 20237, 7642, 284, 1156, 7255, 7642, 284, 1156, 2077, 7642, 284, 1156, 1320, 81, 426, 7642, 284, 1156, 6319, 81, 965, 7642, 284, 1156, 1648, 505, 203, 27, 203, 325, 2322, 32, 983, 32, 4658, 463, 10229, 32, 9632, 7831, 284, 1946, 81, 2310, 280, 45977, 32, 1676, 26, 291, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 4064, 761, 505, 3662, 330, 10229, 32, 9632, 1425, 291, 330, 100, 370, 330, 3310, 31, 42, 25, 284, 6804, 850, 346, 203, 1824, 44, 284, 1946, 81, 2310, 280, 330, 7488, 330, 474, 1156, 20237, 505, 203, 589, 3616, 81, 761, 26, 3607, 30, 4844, 347, 15965, 10280, 284, 623, 2156, 26, 500, 32, 983, 32, 2524, 26, 6175, 30, 4870, 490, 619, 296, 44, 291, 1795, 280, 296, 32, 33232, 346, 284, 442, 428, 106, 32, 7201, 346, 436, 816, 328, 1795, 79, 203, 3789, 81, 13966, 280, 3616, 81, 761, 440, 15965, 32, 2760, 657, 203, 20915, 81, 1981, 280, 301, 284, 330, 4213, 81, 6281, 950, 3616, 81, 761, 440, 15965, 81, 4213, 81, 6281, 32, 2760, 2113, 284, 330, 4213, 81, 9873, 950, 3616, 81, 761, 440, 15965, 81, 4213, 81, 9873, 32, 2760, 2113, 284, 330, 7615, 950, 3616, 81, 761, 440, 15965, 81, 7615, 32, 2760, 2113, 284, 330, 12023, 81, 751, 7983, 950, 3616, 81, 761, 440, 15965, 81, 12023, 81, 751, 7983, 32, 2760, 2113, 284, 330, 858, 950, 3616, 81, 761, 440, 15965, 81, 858, 32, 2760, 2113, 284, 330, 1902, 950, 3616, 81, 761, 440, 15965, 81, 1902, 32, 2760, 2113, 284, 330, 1427, 950, 3616, 81, 761, 440, 15965, 81, 1427, 32, 2760, 2113, 284, 330, 1199, 950, 3616, 81, 761, 440, 15965, 81, 1199, 32, 2760, 2113, 203, 111, 203, 20915, 81, 1981, 710, 464, 785, 280, 3632, 2009, 20915, 81, 1981, 32, 371, 26, 678, 27, 436, 1202, 328, 2107, 7615, 370, 330, 12023, 81, 751, 7983, 24990, 1149, 1157, 203, 20915, 81, 1981, 710, 464, 81, 6281, 785, 280, 3632, 2009, 20915, 81, 1981, 32, 371, 26, 678, 27, 436, 1202, 328, 2107, 464, 370, 330, 4213, 81, 6281, 24990, 1149, 1157, 203, 20915, 81, 1981, 710, 464, 81, 9873, 785, 280, 3632, 2009, 20915, 81, 1981, 32, 371, 26, 678, 27, 436, 1202, 328, 2107, 464, 370, 330, 4213, 81, 9873, 24990, 1149, 1157, 203, 20915, 81, 1981, 710, 464, 81, 1902, 785, 280, 3632 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 0, 1, 1, 1, 1, 3, 3, 3, 5, 5, 3, 3, 3, 3, 2, 2, 3, 4, 5, 4, 5, 5, 5, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 4, 6, 5, 6, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 0, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 4, 5, 3, 4, 3, 5, 5, 5, 5, 1, 1, 5, 5, 4, 4, 8, 9, 8, 8, 8, 11, 12, 10, 11, 10, 14, 13, 14, 12, 13, 12, 16, 15, 16, 14, 15, 14, 15, 15, 14, 10, 12, 12, 12, 12, 8, 8, 10, 10, 8, 10, 10, 10, 10, 8, 8, 7, 6, 1, 2, 2, 2, 2, 6, 6, 5, 5, 8, 8, 6, 6, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 5, 5, 1, 1, 3, 8, 12, 11, 12, 10, 11, 10, 11, 10, 10, 10, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 2, 2, 3, 7, 6, 7, 6, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 0, 4, 4, 4, 3, 5, 5, 2, 2, 4, 8, 8, 8, 7, 8, 7, 8, 7, 5, 6, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 4, 6, 0, 4, 4, 4, 3, 5, 5, 5, 5, 2, 2, 4, 8, 8, 8, 7, 8, 7, 8, 7, 5, 6, 6, 6, 9, 9, 7, 9, 9, 9, 9, 4, 6, 0, 4, 4, 4, 3, 5, 5, 5, 5, 2, 2, 4, 8, 8, 8, 7, 8, 7, 8, 7, 5, 6, 6, 6, 9, 9, 7, 9, 9, 9, 9, 4, 6, 0, 4, 4, 4, 3, 5, 5, 5, 5, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 4, 3, 3, 3, 3, 3, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 6, 6, 0, 2, 0, 2, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 6, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 7, 7, 1, 1, 2, 1, 2, 2, 3, 1, 2, 7, 7, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 13, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 15, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0 ]
[ 465, 298, 2209, 1694, 1356, 619, 5034, 203, 1070, 298, 2209, 1694, 1356, 32, 9777, 1188, 319, 203, 589, 2454, 81, 878, 26, 779, 711, 284, 442, 5034, 32, 1436, 32, 944, 81, 878, 440, 912, 392, 2484, 27, 203, 589, 2769, 2262, 284, 345, 280, 2454, 81, 878, 440, 912, 81, 7733, 657, 284, 281, 280, 428, 944, 81, 878, 440, 11447, 81, 7004, 2113, 2454, 81, 878, 440, 11447, 81, 380, 686, 2113, 276, 2454, 81, 878, 440, 11447, 81, 42386, 1708, 1728, 2113, 2454, 81, 878, 440, 11447, 81, 24696, 3830, 284, 11655, 280, 5034, 32, 1436, 32, 371, 81, 11447, 26, 95, 30, 281, 30, 2069, 26, 85, 27, 429, 225, 35, 27, 284, 415, 11655, 610, 225, 34, 44, 291, 5034, 32, 8121, 32, 2245, 81, 7004, 346, 284, 4348, 11655, 610, 225, 35, 44, 291, 43622, 346, 284, 4348, 11655, 610, 225, 36, 44, 291, 298, 311, 1708, 1728, 346, 203, 589, 43622, 2262, 284, 415, 5034, 32, 20518, 32, 28111, 81, 380, 686, 438, 646, 1665, 44, 291, 5034, 32, 1436, 32, 2245, 26, 1356, 32, 20518, 32, 28111, 81, 380, 686, 1365, 878, 6890, 284, 813, 44, 291, 5034, 32, 1436, 32, 2245, 26, 944, 81, 878, 440, 1347, 81, 380, 686, 2131, 203, 589, 298, 311, 1708, 1728, 2262, 284, 5034, 32, 20518, 32, 41265, 346, 284, 298, 311, 1708, 1728, 81, 280, 1605, 284, 436, 595, 328, 5034, 32, 20518, 32, 1431, 18230, 101, 44, 291, 436, 3980, 18230, 328, 5034, 32, 20518, 32, 1431, 18230, 101, 77, 91, 2786, 324, 415, 646, 3980, 18230, 1365, 42386, 3343, 1446, 461, 3980, 18230, 1365, 42386, 1708, 469, 1446, 438, 646, 1665, 44, 400, 298, 311, 1708, 1728, 3133, 1689, 26, 1431, 18230, 1365, 42386, 1708, 469, 6890, 284, 415, 298, 311, 1708, 1728, 15359, 291, 415, 2069, 26, 42386, 1708, 1728, 7912, 848, 225, 35, 44, 324, 345, 280, 2454, 81, 878, 440, 42386, 1708, 1728, 1895, 1643, 26, 1657, 26, 42386, 1708, 1728, 37115, 324, 5034, 32, 1436, 32, 2245, 26, 95, 27, 291, 436, 298, 311, 1708, 469, 328, 298, 311, 1708, 1728, 15359, 324, 5034, 32, 1436, 32, 2245, 26, 42386, 1708, 469, 1365, 878, 6890, 284, 813, 44, 291, 5034, 32, 1436, 32, 2245, 26, 944, 81, 878, 440, 1347, 81, 42386, 1708, 1728, 2131, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 6, 6, 5, 7, 7, 5, 5, 0, 1, 1, 2, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 8, 2, 2, 4, 4, 7, 7, 7, 7, 9, 9, 9, 9, 5, 7, 7, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 5, 7, 7, 7, 9, 9, 9, 9, 2, 2, 4, 4, 7, 8, 6, 7, 7, 7, 6, 7, 6, 6, 6, 6, 9, 10, 9, 7, 7, 8, 6, 2, 2, 3, 4, 4, 5, 3, 3, 3, 8, 9, 7, 8, 8, 8, 7, 3, 3, 4, 5, 5, 6, 4, 4, 4, 8, 3, 3, 4, 5, 5, 6, 4, 4, 4, 8, 8, 8, 8, 0, 1, 1, 2, 1, 1, 3, 6, 7, 5, 6, 6, 6, 6, 4, 4, 4, 3, 3, 3, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 10, 10, 10, 8, 10, 10, 3, 3, 4, 4, 4, 9, 10, 8, 9, 8, 10, 10, 10, 10, 12, 12, 12, 12, 12, 0, 1, 1, 2, 2, 2, 2, 1, 1, 6, 7, 5, 6, 5, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 5, 6, 4, 5, 5, 5, 3, 3, 3, 5, 6, 5, 5, 8, 9, 7, 8, 8, 8, 6, 7, 6, 5, 5, 7, 9, 11, 10, 12, 12, 12, 8, 8, 11, 10, 12, 12, 12, 12, 9, 9, 9, 7, 7, 7, 12, 12, 12, 12, 12, 11, 13, 13, 12, 14, 14, 14, 14, 2, 2, 3, 4, 4, 4, 4, 3, 3, 5, 8, 9, 9, 9, 9, 6, 6, 7, 5, 5, 5, 8, 8, 12, 12, 12, 14, 14, 14, 14, 11, 10, 12, 12, 13, 13, 13, 13, 6, 6, 10, 11, 9, 10, 9, 10, 9, 4, 4, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 10, 12, 12, 3, 3, 4, 4, 4, 9, 10, 8, 9, 8, 10, 10, 10, 10, 12, 12, 12, 12, 12, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 3, 3, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 1, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 2, 0, 2, 2, 2, 1, 3, 3, 4, 1, 1, 2, 4, 4, 4, 1, 3, 3, 5, 1, 1, 2, 5, 5, 5, 0, 0, 0, 1, 0, 4, 4, 2, 4, 4, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 4, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 2, 5, 5, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, 0, 2, 3, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 3, 2, 3, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 3, 3, 4, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 465, 2322, 203, 3731, 32, 983, 77, 34, 44, 34, 79, 280, 428, 500, 32, 983, 32, 21379, 463, 497, 12357, 203, 1070, 15798, 32, 3613, 1188, 25864, 3660, 203, 823, 7502, 26, 20229, 3660, 711, 284, 477, 17614, 284, 665, 1156, 32110, 3207, 6933, 30, 636, 711, 291, 415, 636, 610, 330, 19426, 3841, 950, 324, 442, 1300, 291, 415, 636, 610, 330, 19426, 3038, 950, 324, 442, 1300, 291, 415, 636, 610, 330, 19426, 1903, 1731, 950, 324, 442, 1300, 203, 45878, 81, 43510, 280, 2107, 1617, 32, 4836, 34830, 1114, 4836, 34830, 370, 330, 4836, 34830, 370, 330, 4836, 34830, 1114, 4836, 34830, 370, 330, 4836, 34830, 32, 38326, 785, 203, 1270, 44, 284, 1188, 11993, 203, 7343, 29986, 44, 284, 42458, 81, 43510, 32, 1689, 463, 33477, 683, 203, 3731, 32, 3477, 32, 1877, 1162, 1803, 81, 426, 30, 7502, 1157, 436, 2047, 81, 426, 328, 42458, 81, 43510, 27, 203, 465, 1561, 32, 4836, 34830, 619, 29726, 34830, 203, 3731, 32, 3477, 710, 4836, 34830, 785, 280, 29726, 34830, 203, 3731, 32, 3477, 710, 4836, 34830, 32, 38326, 785, 280, 29726, 34830, 32, 38326, 203, 4846, 431, 542, 81, 3613, 81, 22450, 280, 3037, 300, 654, 1446, 203, 9081, 280, 428, 284, 330, 26275, 32, 407, 32, 4846, 431, 542, 370, 284, 330, 26275, 32, 407, 32, 1409, 28998, 370, 203, 79, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 2250, 280, 330, 4836, 34830, 25, 203, 11794, 280, 330, 36, 34, 35, 38, 31, 36, 34, 36, 34, 30, 1289, 548, 94, 315, 25, 203, 1648, 280, 29726, 34830, 3667, 1648, 505, 203, 3779, 280, 29726, 34830, 3667, 1648, 505, 203, 10444, 81, 15719, 280, 2107, 81, 1832, 785, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 4756, 81, 15705, 280, 330, 4836, 2496, 314, 542, 25, 203, 24189, 81, 7594, 280, 301, 203, 111, 203, 24189, 81, 17274, 280, 428, 334, 2726, 1055, 370, 330, 4836, 8021, 32, 8581, 370, 330, 4836, 34830, 12217, 370, 664, 330, 1347, 548, 94, 315, 370, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 428, 284, 2726, 1055, 370, 330, 4836, 34830, 370, 330, 4836, 34830, 12217, 370, 275, 2107, 1347, 548, 94, 315, 2188, 225, 35, 27, 203, 79, 203, 8581, 1338, 81, 17274, 280, 428, 334, 2726, 1055, 370, 330, 4836, 34830, 370, 330, 4836, 34830, 12217, 370, 664, 330, 1347, 548, 94, 315, 370, 330, 4836, 34830, 370, 330, 3582, 1628, 3048, 432, 2074, 6418, 664, 330, 6417, 36786, 1425, 203, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 5, 4, 5, 3, 2, 2, 7, 6, 7, 5, 6, 5, 7, 7, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 6, 7, 7, 9, 9, 9, 6, 6, 8, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 8, 5, 5, 6, 7, 7, 9, 9, 9, 9, 6, 6, 8, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 7, 7, 6, 7, 6, 8, 8, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 4, 4, 6, 3, 4, 5, 5, 4, 4, 5, 5, 3, 0, 1, 1, 3, 4, 4, 2, 2, 3, 0, 5, 4, 5, 3, 5, 5, 5, 2, 2, 3, 0, 5, 4, 5, 3, 5, 5, 5, 5, 5, 2, 2, 4, 3, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 3, 4, 4, 0, 3, 2, 2, 4, 3, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 7, 7, 7, 7, 7, 4, 5, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 2, 1, 1, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 6, 6, 6, 6, 0, 6, 3, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 1, 0, 8, 8, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 9, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 11815, 81, 25661, 30, 34380, 30, 20654, 30, 7976, 81, 465, 30, 623, 81, 9849, 30, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 1070, 638, 1698, 16351, 101, 1188, 319, 203, 589, 1244, 81, 1172, 1180, 26, 106, 711, 284, 1596, 44, 291, 442, 629, 26, 106, 32, 2998, 14728, 11968, 35, 997, 2998, 3949, 11968, 34, 1130, 284, 2940, 44, 291, 1596, 44, 324, 442, 629, 26, 15705, 26, 106, 547, 2998, 14728, 11968, 35, 997, 2998, 3949, 11968, 34, 1130, 291, 2940, 44, 324, 442, 225, 34, 203, 823, 7585, 36, 6076, 2262, 284, 5881, 284, 665, 2266, 1180, 26, 421, 550, 711, 291, 442, 1360, 550, 32, 3227, 3949, 3072, 1195, 1814, 2998, 14728, 11968, 35, 79, 284, 354, 983, 280, 7140, 26, 1199, 983, 30, 540, 25, 5000, 18021, 1109, 3424, 683, 284, 17218, 280, 7585, 5360, 36, 6076, 26, 104, 983, 30, 2266, 1180, 27, 284, 6027, 280, 9298, 26, 7199, 27, 284, 17218, 280, 7800, 1011, 26, 7199, 27, 284, 3960, 2245, 280, 8888, 26, 5000, 27, 284, 436, 296, 1347, 30, 4791, 328, 6027, 32, 1066, 2262, 291, 3960, 2245, 463, 2245, 81, 5000, 370, 4791, 30, 225, 35, 27, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 337, 8478, 30, 2266, 1180, 47, 2521, 711, 291, 2266, 1180, 280, 2266, 1180, 556, 1244, 81, 1172, 1180, 291, 415, 827, 26, 520, 550, 101, 27, 646, 328, 308, 668, 30, 8825, 711, 324, 7842, 280, 12460, 26, 520, 550, 101, 27, 291, 813, 44, 324, 7842, 280, 337, 8478, 291, 415, 646, 7842, 44, 324, 3636, 3268, 463, 2023, 803, 2431, 328, 904, 101, 25, 904, 337, 8478, 27, 291, 7842, 280, 10440, 410, 26, 1172, 1180, 26, 983, 3662, 1519, 27, 436, 1519, 328, 7842, 79, 291, 630, 32, 8478, 280, 8594, 26, 8478, 30, 1202, 47, 5962, 816, 44, 816, 77, 34, 1130, 291, 630, 32, 43579, 7888, 30, 630, 32, 8478, 280, 1149, 26, 3969, 2740, 784, 32, 8478, 490, 291, 630, 32, 643, 30, 630, 32, 748, 280, 6677, 36, 32, 40375, 26, 784, 32, 8478, 77, 34, 8492, 3229, 2867, 36, 79, 291, 630, 32, 1055, 280, 429, 35, 284, 665, 3621, 26, 784, 711, 291, 3097, 284, 665, 1491, 26, 784, 711, 291, 630, 32, 1055, 1454, 225, 35, 291, 415, 2069, 26, 784, 32, 8478, 27, 2511, 630, 32, 1055, 44, 324, 442, 3177, 30, 1665, 291, 1596, 44, 324, 442, 2933, 30, 6677, 36, 32, 40375, 26, 784, 32, 8478, 77, 784, 32, 1055, 1130, 291, 2940, 44, 324, 442, 1665, 30, 1665, 284, 665, 622, 26, 784, 30, 595, 711, 291, 415, 595, 610, 225, 37, 44, 324, 442, 630, 32, 748, 291, 4348, 595, 610, 225, 38, 44, 324, 442, 630, 32, 643, 291, 4348, 595, 610, 225, 39, 44, 324, 442, 225, 37, 34, 291, 4348, 595, 610, 225, 41, 44, 324, 442, 2069, 26, 784, 32, 8478, 27, 284, 665, 739, 26, 784, 30, 595, 30, 1477, 81, 1744, 711, 291, 630, 32, 1055, 1454, 308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 7, 14, 13, 14, 13, 15, 12, 11, 11, 10, 12, 9, 8, 3, 3, 4, 4, 4, 6, 6, 6, 8, 10, 18, 18, 19, 18, 17, 16, 18, 15, 14, 14, 13, 15, 12, 11, 6, 6, 7, 7, 7, 9, 10, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 6, 5, 6, 4, 3, 3, 7, 6, 6, 8, 7, 7, 8, 8, 8, 4, 4, 5, 8, 9, 9, 9, 8, 6, 6, 6, 8, 7, 7, 7, 5, 5, 8, 8, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 9, 9, 10, 4, 4, 5, 6, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 9, 4, 4, 6, 6, 10, 10, 12, 12, 12, 13, 12, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 8, 9, 10, 10, 10, 10, 11, 12, 11, 4, 4, 8, 9, 9, 7, 7, 8, 9, 6, 6, 8, 10, 10, 13, 12, 13, 10, 4, 4, 8, 9, 7, 7, 8, 9, 6, 6, 11, 10, 11, 10, 13, 12, 13, 11, 12, 11, 9, 7, 9, 7, 4, 4, 7, 8, 6, 6, 8, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 5, 8, 10, 9, 10, 8, 6, 6, 7, 8, 5, 5, 5, 7, 8, 8, 4, 4, 5, 5, 5, 7, 8, 8, 11, 10, 11, 10, 13, 12, 13, 11, 13, 12, 13, 11, 5, 5, 6, 6, 6, 8, 9, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 5, 5, 5, 7, 8, 9, 5, 5, 6, 7, 7, 8, 6, 6, 6, 8, 9, 10, 5, 5, 6, 7, 7, 8, 6, 6, 6, 8, 9, 9, 5, 5, 6, 7, 7, 8, 6, 6, 6, 8, 10, 12, 11, 12, 10, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 3, 3, 3, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 3, 3, 3, 0, 1, 0, 3, 3, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 4, 4, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 3, 2, 3, 4, 4, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 0, 0, 1, 4, 4, 2, 2, 1, 2, 2, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 0, 0, 2, 4, 4, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 4, 4, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 3, 3, 3, 0, 1, 1, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 4, 1, 1, 2, 4, 4, 4, 0, 1, 2, 0, 0, 5, 1, 1, 2, 5, 5, 5, 0, 1, 1, 0, 0, 6, 1, 1, 2, 6, 6, 6, 0, 1, 0, 1, 2, 1, 4, 4, 5, 2, 1, 2, 2, 2, 2, 5, 5, 2, 5, 5, 0, 2, 0, 0 ]
[ 465, 6436, 203, 465, 663, 3355, 12813, 203, 1070, 4377, 1439, 823, 1188, 26246, 203, 823, 16734, 16218, 26, 16218, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2841, 30, 2091, 30, 538, 13715, 47, 2521, 30, 26542, 81, 1132, 47, 2521, 711, 291, 415, 646, 6937, 26, 1873, 30, 26246, 711, 324, 2841, 280, 6436, 32, 269, 27977, 81, 35, 86, 26, 1873, 27, 324, 415, 2841, 32, 29704, 848, 225, 35, 44, 400, 3636, 663, 3355, 12813, 32, 16746, 4228, 26, 528, 313, 13081, 15568, 14943, 372, 821, 31, 7320, 225, 35, 54, 12051, 7144, 291, 415, 646, 6937, 26, 990, 30, 26246, 711, 324, 2091, 280, 6436, 32, 269, 27977, 81, 35, 86, 26, 990, 27, 324, 415, 2091, 32, 29704, 848, 225, 35, 44, 400, 3636, 663, 3355, 12813, 32, 16746, 4228, 26, 528, 313, 13081, 15568, 14943, 372, 821, 31, 7320, 225, 35, 54, 12051, 7144, 291, 6440, 30, 3377, 30, 11410, 280, 663, 3355, 12813, 32, 8238, 81, 10950, 26, 324, 7433, 47, 784, 30, 324, 3377, 47, 2665, 26, 1873, 47, 1873, 30, 2091, 47, 990, 471, 324, 438, 81, 2989, 47, 1815, 30, 291, 829, 291, 2599, 26, 7145, 16218, 30, 630, 14585, 1664, 3207, 324, 3377, 47, 5138, 30, 324, 6440, 47, 10950, 30, 324, 538, 13715, 47, 327, 13715, 30, 324, 26542, 81, 1132, 47, 13707, 81, 1132, 30, 291, 829, 291, 630, 1114, 2613, 81, 2991, 280, 2149, 291, 630, 1114, 5729, 81, 2613, 280, 2149, 291, 630, 1114, 7607, 81, 2613, 280, 2149, 284, 665, 622, 81, 5138, 26, 784, 30, 5417, 30, 3320, 30, 1201, 81, 1516, 14856, 47, 1815, 711, 291, 3377, 280, 2599, 26, 7145, 16218, 30, 630, 547, 371, 81, 5138, 26, 324, 5417, 30, 3320, 30, 1201, 81, 1516, 14856, 47, 862, 81, 1516, 14856, 27, 291, 1201, 739, 26, 5138, 27, 610, 3447, 2613, 392, 313, 1873, 392, 313, 990, 392, 313, 2875, 3612, 291, 415, 6937, 26, 5138, 1365, 1873, 3439, 26246, 711, 324, 3377, 1365, 1873, 1446, 280, 3377, 1365, 1873, 6494, 81, 371, 81, 2613, 26, 2875, 30, 3320, 47, 5138, 1365, 2613, 3439, 622, 47, 34, 27, 291, 4348, 2069, 26, 5138, 1365, 1873, 6890, 848, 225, 35, 461, 5417, 438, 646, 1665, 44, 324, 3377, 1365, 1873, 1446, 280, 3377, 1365, 1873, 15544, 2875, 79, 291, 415, 6937, 26, 5138, 1365, 990, 3439, 26246, 711, 324, 3377, 1365, 990, 1446, 280, 3377, 1365, 990, 6494, 81, 371, 81, 2613, 26, 2875, 30, 3320, 47, 5138, 1365, 2613, 3439, 622, 47, 34, 27, 291, 4348, 2069, 26, 5138, 1365, 990, 6890, 848, 225, 35, 461, 5417, 438, 646, 1665, 44, 324, 3377, 1365, 990, 1446, 280, 3377, 1365, 990, 15544, 2875, 79, 291, 415, 1201, 81, 1516, 14856, 44, 324, 1201, 308, 1206, 6937, 26, 5138, 1365, 1873, 3439, 26246, 27, 556, 528, 646, 6937, 26, 5138, 1365, 990, 3439, 26246, 490, 291, 415, 3320, 438, 646, 630, 1114, 2613, 81, 2991, 44, 324, 630, 1114, 2613, 81, 2991, 280, 3320, 324, 630, 1114, 5729, 81, 2613, 280, 2149, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 4, 4, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 8, 9, 8, 8, 8, 5, 5, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 7, 9, 10, 8, 8, 9, 7, 7, 7, 9, 12, 12, 11, 12, 12, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 4, 4, 5, 6, 8, 9, 8, 8, 8, 5, 5, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 7, 9, 10, 8, 8, 9, 7, 7, 7, 9, 12, 12, 11, 12, 12, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 8, 8, 8, 9, 10, 8, 8, 8, 9, 11, 11, 13, 12, 13, 11, 11, 12, 13, 11, 8, 8, 10, 10, 9, 10, 8, 8, 8, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 9, 8, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 6, 6, 10, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 9, 10, 10, 10, 10, 8, 4, 4, 5, 8, 9, 8, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 5, 7, 9, 8, 10, 10, 7, 7, 5, 5, 9, 11, 11, 8, 8, 11, 13, 13, 11, 11, 11, 11, 10, 11, 10, 10, 11, 13, 12, 14, 14, 10, 11, 12, 10, 5, 5, 6, 10, 12, 11, 13, 13, 8, 8, 9, 7, 7, 8, 8, 8, 6, 6, 6, 10, 12, 12, 9, 9, 11, 13, 13, 11, 10, 4, 4, 5, 7, 9, 8, 10, 10, 7, 7, 5, 5, 9, 11, 11, 8, 8, 11, 13, 13, 11, 11, 11, 11, 10, 11, 10, 10, 11, 13, 12, 14, 14, 10, 11, 12, 10, 5, 5, 6, 10, 12, 11, 13, 13, 8, 8, 9, 7, 7, 8, 8, 8, 6, 6, 6, 10, 12, 12, 9, 9, 11, 13, 13, 11, 10, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 10, 10, 12, 14, 13, 15, 15, 12, 12, 9, 9, 9, 10, 12, 14, 13, 15, 15, 12, 12, 4, 4, 5, 6, 6, 6, 7, 8, 8, 8, 5, 5, 5, 9, 10, 10, 10, 8, 8, 6, 6, 9, 10, 10, 10, 8, 8, 6 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 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, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 0, 5, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 7, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 5, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 0, 2, 1, 2, 1, 5, 2, 1, 2, 2, 4, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 4, 4, 4, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 4, 4, 3, 1, 0, 1, 1, 2, 1, 1, 3, 3, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 0, 2, 1, 2, 1, 5, 2, 1, 3, 3, 4, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 4, 4, 4, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 4, 4, 4, 1, 1, 1, 4, 4, 4, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 0, 2, 2, 2, 0, 0, 3, 3, 0, 2, 2, 2, 0, 0, 3 ]
[ 465, 1695, 40, 38, 203, 465, 2322, 203, 1070, 3619, 29382, 32, 15194, 1188, 6227, 10661, 30, 17640, 658, 203, 1070, 3619, 29382, 32, 11201, 1188, 439, 8161, 4248, 30, 439, 3529, 3703, 203, 1070, 27847, 348, 32, 3337, 1188, 2054, 265, 203, 1070, 638, 1040, 1188, 617, 1809, 81, 4255, 30, 617, 2848, 81, 17360, 30, 1015, 81, 36318, 81, 4383, 203, 589, 617, 6008, 81, 24371, 26, 777, 3563, 314, 711, 284, 415, 1148, 3563, 314, 328, 308, 20691, 30, 17640, 658, 711, 291, 1148, 3563, 314, 280, 1665, 284, 442, 1148, 3563, 314, 203, 81, 8539, 280, 1300, 346, 203, 50, 9165, 265, 26, 59, 8161, 4248, 27, 203, 823, 6227, 1183, 4248, 26, 1473, 711, 284, 665, 617, 751, 26, 784, 30, 3124, 30, 1411, 426, 30, 1326, 711, 291, 4082, 280, 1326, 32, 8200, 32, 1217, 11330, 26, 59, 3529, 3703, 27, 291, 415, 4082, 44, 324, 9011, 280, 630, 3667, 823, 505, 324, 47362, 280, 9011, 3667, 1647, 505, 474, 17021, 474, 9011, 3667, 426, 505, 324, 1411, 426, 280, 47362, 474, 17021, 474, 1411, 426, 324, 4082, 32, 2811, 26, 1959, 426, 474, 10685, 313, 474, 3124, 27, 284, 617, 1809, 81, 4255, 280, 907, 1959, 2176, 1809, 81, 4255, 27, 10065, 617, 2848, 81, 17360, 280, 907, 1959, 2176, 2848, 81, 17360, 27, 10065, 617, 8791, 81, 2848, 280, 617, 8539, 284, 665, 1156, 1664, 3207, 784, 30, 4588, 47, 2700, 711, 291, 630, 32, 2811, 280, 4588, 284, 665, 707, 22297, 81, 18267, 26, 784, 30, 1326, 711, 284, 665, 22714, 81, 18267, 26, 784, 30, 1326, 711, 291, 4588, 280, 630, 32, 2811, 291, 308, 11250, 4816, 30, 3796, 15762, 27, 280, 630, 1114, 1809, 81, 4255, 26, 1357, 27, 291, 1326, 32, 669, 81, 1986, 81, 4383, 26, 669, 81, 36318, 81, 4383, 26, 11250, 4816, 32, 36318, 490, 291, 1596, 44, 324, 38367, 280, 3796, 15762, 32, 18267, 346, 291, 2940, 3268, 44, 324, 4588, 461, 630, 1114, 751, 26, 400, 313, 11753, 1401, 646, 6305, 2583, 9435, 392, 400, 313, 22297, 81, 18267, 392, 400, 1326, 30, 324, 829, 324, 308, 24371, 30, 14736, 27, 280, 10849, 4816, 32, 371, 81, 853, 346, 324, 4588, 461, 630, 1114, 751, 26, 400, 313, 1855, 2719, 3943, 2471, 44, 308, 24371, 44, 904, 100, 30, 14736, 44, 904, 100, 4731, 400, 904, 308, 24371, 30, 14736, 471, 400, 313, 22297, 81, 18267, 392, 400, 1326, 30, 324, 829, 324, 3796, 15762, 32, 6967, 81, 13968, 26, 24371, 30, 14736, 27, 324, 1596, 44, 400, 38367, 280, 3796, 15762, 32, 18267, 346, 324, 2940, 3268, 44, 400, 38367, 280, 1665, 291, 4588, 461, 630, 1114, 751, 26, 324, 313, 22297, 81, 18267, 14116, 44, 904, 100, 20, 904, 308, 18267, 28020, 324, 313, 22297, 81, 18267, 392, 324, 1326, 30, 291, 829, 291, 442, 38367, 284, 665, 19043, 81, 777, 6361, 3528, 26, 784, 30, 1326, 711, 291, 4588, 280, 630, 32, 2811, 291, 19043, 81, 777, 6361, 3528, 280, 428, 18144, 658, 79, 291, 38367, 280, 630, 32, 22297, 81, 18267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 5, 4, 4, 6, 5, 5, 6, 5, 3, 3, 7, 7, 6, 6, 2, 2, 3, 4, 4, 0, 3, 3, 2, 2, 4, 0, 2, 4, 4, 4, 5, 5, 5, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 4, 5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 9, 10, 10, 10, 9, 5, 5, 6, 6, 6, 6, 9, 9, 10, 11, 11, 7, 7, 9, 9, 12, 13, 13, 11, 11, 10, 10, 11, 12, 12, 7, 7, 10, 9, 9, 11, 11, 10, 10, 11, 7, 7, 10, 11, 10, 13, 13, 12, 12, 14, 11, 11, 10, 3, 3, 6, 6, 6, 5, 5, 7, 7, 8, 8, 8, 7, 3, 3, 6, 6, 6, 5, 5, 7, 7, 8, 8, 8, 7, 3, 3, 6, 6, 6, 5, 5, 6, 3, 3, 4, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 8, 9, 7, 7, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 8, 9, 5, 5, 9, 9, 8, 8, 9, 8, 7, 7, 9, 10, 10, 10, 9, 10, 9, 5, 5, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 12, 12, 11, 12, 10, 5, 5, 6, 6, 6, 9, 9, 12, 11, 12, 11, 6, 6, 7, 7, 7, 7, 10, 10, 12, 13, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 12, 12, 12, 12, 12, 8, 8, 12, 11, 11, 11, 10, 10, 13, 12, 13, 13, 13, 12, 8, 8, 10, 10, 12, 13, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 13, 15, 14, 14, 14, 12, 12, 14, 14, 14, 14, 12, 12, 12, 12, 12, 8, 8, 12, 11, 12, 12, 12, 11, 12, 11, 11, 11, 8, 8, 9, 9, 9, 12, 12, 15, 14, 15, 14, 9, 9, 10, 10, 10, 10, 13, 13, 5, 5, 7, 7, 9, 10, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 9, 9, 11, 11, 11, 11, 9, 9, 9, 9, 9, 5, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 8, 9, 5, 5, 8, 8, 8, 8, 7, 7, 9, 9, 8, 5, 5, 7, 7, 9, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 4, 4, 4, 1, 1, 1, 2, 2, 3, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 2, 2, 4, 4, 1, 1, 0, 0, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 4, 4, 3, 3, 3, 0, 0, 0, 0, 2, 1, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 3, 3, 3, 3, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 5, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 465, 8527, 32, 1199, 32, 3378, 32, 30550, 203, 465, 8527, 32, 2304, 32, 18218, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 2726, 599, 10042, 370, 330, 34, 34, 37, 38, 81, 2837, 81, 36, 34, 35, 43, 34, 38, 34, 42, 81, 35, 34, 38, 41, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 3689, 10042, 8695, 762, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 2837, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 1220, 10042, 370, 4549, 32, 36172, 26, 1199, 81, 1055, 47, 1815, 30, 1244, 47, 11025, 32, 2304, 32, 18218, 32, 2174, 3662, 400, 2726, 455, 10510, 81, 1803, 21009, 370, 4549, 32, 36172, 26, 2837, 81, 2174, 47, 1815, 30, 3082, 81, 1055, 47, 1815, 3662, 400, 2726, 5766, 81, 11999, 406, 1353, 370, 4549, 32, 10215, 26, 4756, 81, 878, 1057, 5766, 22941, 406, 1353, 328, 1875, 10042, 16964, 26999, 91, 4693, 91, 14064, 364, 13388, 11901, 17179, 6079, 452, 30326, 3460, 934, 15817, 4264, 104, 401, 328, 296, 460, 2068, 298, 2531, 1038, 10042, 328, 425, 905, 274, 3555, 6674, 762, 6418, 9541, 81, 426, 1057, 5217, 22941, 406, 1353, 13356, 400, 2726, 2453, 5123, 3280, 16115, 81, 906, 6659, 102, 32387, 370, 4549, 32, 10215, 26, 4756, 81, 878, 347, 1045, 279, 11518, 38397, 540, 46286, 3280, 16115, 23228, 374, 1522, 6659, 102, 32387, 3555, 6674, 762, 308, 2178, 6994, 17179, 6079, 452, 1169, 25, 48877, 484, 2818, 91, 2068, 1123, 13866, 16115, 547, 392, 9541, 81, 426, 1057, 68, 46286, 3280, 16115, 23228, 374, 1522, 6659, 102, 32387, 3555, 6674, 762, 13356, 400, 2726, 2750, 16626, 81, 26298, 427, 91, 370, 4549, 32, 10215, 26, 10529, 81, 426, 1057, 18853, 16626, 6491, 30326, 1742, 735, 639, 10042, 24984, 46583, 427, 91, 13356, 400, 2726, 2750, 16626, 81, 10967, 11573, 370, 4549, 32, 10215, 26, 4756, 81, 878, 1057, 18853, 16626, 6491, 312, 17179, 11573, 484, 33233, 272, 2939, 2068, 1742, 18658, 586, 11318, 5386, 26991, 2642, 24026, 41792, 6233, 1292, 2858, 762, 2179, 10039, 13356, 400, 2726, 2750, 16626, 81, 11682, 41209, 81, 466, 19791, 5669, 370, 4549, 32, 10215, 26, 4756, 81, 878, 347, 18853, 16626, 484, 408, 2314, 279, 16626, 309, 514, 25, 11682, 41209, 484, 2317, 48968, 5285, 484, 21516, 596, 19791, 5669, 337, 419, 283, 6831, 6233, 6674, 762, 12941, 400, 2726, 24972, 15817, 81, 3131, 387, 9735, 370, 4549, 32, 10215, 26, 4756, 81, 878, 1057, 16075, 15817, 27990, 1692, 34988, 3709, 387, 20027, 2068, 273, 9827, 17248, 716, 33, 5101, 91, 1964, 9780, 457, 4958, 10042, 24984, 29201, 13356, 400, 2726, 2858, 762, 370, 4549, 32, 13343, 26, 267, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 28781, 30, 372, 1057, 599, 10042, 32, 8695, 762, 1761, 13356, 324, 2505, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 12, 12, 13, 17, 16, 17, 15, 16, 14, 15, 12, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 14, 14, 13, 15, 15, 15, 15, 15, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 12, 10, 13, 12, 13, 12, 14, 14, 14, 13, 18, 17, 18, 16, 17, 15, 16, 14, 15, 12, 14, 15, 15, 15, 15, 15, 15, 15, 9, 9, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 0, 3, 3, 1, 2, 1, 4, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 0, 0, 2, 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, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 5, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 7, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 11, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 13, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 17, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 19, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1 ]
[ 1070, 13625, 1188, 31466, 203, 465, 5741, 203, 465, 420, 39, 978, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 1070, 18414, 32, 33386, 1188, 39350, 733, 1061, 27623, 35969, 619, 43082, 203, 823, 390, 4929, 81, 3041, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4870, 30, 13782, 47, 2356, 32, 16251, 3736, 43, 34, 34, 30, 225, 43, 34, 34, 30, 225, 35, 8531, 291, 630, 32, 28144, 39, 280, 420, 39, 978, 32, 974, 26, 3607, 30, 330, 100, 683, 291, 630, 32, 587, 39956, 280, 13782, 291, 630, 1114, 1479, 280, 1665, 284, 665, 1156, 33644, 3207, 784, 30, 1519, 711, 291, 442, 630, 32, 28144, 39, 77, 983, 79, 284, 665, 1149, 81, 27547, 26, 784, 30, 1459, 36, 4458, 47, 2700, 711, 291, 415, 1459, 36, 4458, 44, 324, 436, 12887, 328, 8594, 26, 784, 32, 28144, 39, 32, 3494, 22805, 400, 1459, 26, 6443, 27, 400, 436, 2340, 328, 8594, 26, 784, 32, 28144, 39, 77, 6443, 997, 3494, 22805, 528, 1459, 9442, 102, 34917, 1643, 26, 770, 490, 291, 442, 8594, 26, 784, 32, 28144, 39, 32, 3494, 1157, 284, 665, 1149, 81, 4419, 26, 784, 30, 12887, 30, 1459, 36, 4458, 47, 2700, 711, 291, 415, 1459, 36, 4458, 44, 324, 436, 2340, 328, 8594, 26, 784, 32, 28144, 39, 77, 6443, 997, 3494, 22805, 400, 1459, 26, 770, 27, 291, 442, 8594, 26, 784, 32, 28144, 39, 77, 6443, 997, 3494, 1157, 284, 665, 2454, 81, 2613, 26, 784, 30, 1015, 2816, 1057, 6656, 7831, 291, 630, 1114, 1479, 280, 630, 1114, 6993, 81, 605, 26, 669, 2816, 47, 669, 2816, 27, 284, 665, 617, 6993, 81, 605, 26, 784, 30, 12887, 426, 47, 2521, 30, 2340, 47, 2521, 30, 1015, 2816, 1057, 6656, 370, 1491, 81, 31825, 47, 1815, 711, 291, 415, 12887, 426, 438, 1665, 44, 324, 5018, 81, 668, 280, 1605, 324, 12887, 81, 668, 280, 630, 32, 668, 81, 27547, 346, 324, 436, 12887, 328, 12887, 81, 668, 44, 400, 2340, 81, 668, 280, 630, 32, 668, 81, 4419, 26, 6443, 27, 400, 436, 2340, 328, 2340, 81, 668, 44, 528, 5741, 32, 2811, 463, 19971, 328, 5035, 436, 12887, 6663, 2340, 19553, 1643, 26, 6443, 30, 2340, 490, 528, 5018, 81, 668, 32, 1689, 26, 784, 1114, 6993, 81, 605, 26, 6443, 30, 2340, 30, 1015, 2816, 47, 669, 2816, 30, 1491, 81, 31825, 47, 850, 81, 31825, 490, 324, 442, 6121, 32, 7232, 26, 1479, 81, 668, 30, 5079, 81, 1055, 47, 1815, 27, 291, 4348, 12887, 426, 438, 646, 1665, 461, 2340, 438, 1665, 44, 324, 5018, 81, 668, 280, 1605, 324, 2340, 81, 668, 280, 630, 32, 668, 81, 4419, 26, 6443, 426, 27, 324, 436, 2340, 328, 2340, 81, 668, 44, 400, 5741, 32, 2811, 463, 19971, 328, 5035, 436, 2340, 19553, 1643, 26, 770, 490, 400, 5018, 81, 668, 32, 1689, 26, 784, 1114, 6993, 81, 605, 26, 6443, 426, 30, 2340, 30, 1015, 2816, 47, 669, 2816, 30, 1491, 81, 31825, 47, 850, 81, 31825, 490 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 4, 4, 4, 4, 2, 2, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 8, 7, 8, 7, 9, 9, 9, 7, 7, 8, 8, 8, 7, 7, 8, 7, 3, 3, 7, 8, 8, 6, 6, 9, 9, 8, 9, 8, 9, 8, 8, 10, 10, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 6, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 7, 7, 9, 13, 12, 13, 13, 11, 12, 11, 7, 7, 11, 12, 11, 8, 8, 9, 9, 9, 11, 16, 15, 16, 16, 14, 15, 14, 14, 13, 9, 9, 13, 18, 17, 16, 15, 16, 15, 4, 4, 5, 7, 11, 10, 11, 11, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 7, 7, 9, 14, 13, 14, 14, 12, 13, 12, 12, 11, 7, 7, 11, 12, 11, 4, 4, 5, 7, 12, 11, 12, 12, 10, 11, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 5, 7, 7, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 9, 10, 10, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 4, 6, 5, 7, 7, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 6, 6, 5, 5, 5, 9, 9, 8, 8, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 6, 6, 7, 7, 7, 8, 8, 7, 7, 7, 11, 11, 10, 10, 12, 13, 13, 13, 12, 13, 12, 8, 8, 9, 9, 9, 10, 10, 9, 9, 9, 13, 14, 13, 17, 17, 17, 17, 17, 17, 17, 17, 16, 15, 16, 15, 15, 15, 10, 10, 14, 14, 13, 14, 13, 16, 15, 16, 16, 16, 15, 16, 15, 15, 15, 15, 17, 16, 17, 17, 15, 15, 17, 17, 16, 17, 17, 17, 15, 6, 6, 7, 9, 10, 9, 10, 10, 10, 9, 9, 11, 11, 10, 11, 9, 5, 5, 6, 9, 8, 8, 8, 7, 7, 8, 8, 6, 6, 6, 10, 10, 9, 9, 7, 7, 10, 10, 9, 9, 11, 12, 12, 12, 11, 12, 12, 11, 7, 7, 8, 8, 8, 9, 9, 8, 8, 8, 12, 13, 12, 16, 16, 16, 16, 16, 16, 15, 14, 15, 14, 9, 9, 13, 13, 12, 13, 12, 15, 14, 15, 15, 15, 14, 15, 15, 14, 14, 14, 14, 16, 15, 16, 16, 14, 14, 16, 16, 15, 16, 16, 16, 14 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 1, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 3, 3, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 4, 4, 1, 1, 0, 0, 2, 2, 0, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 4, 4, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 0, 3, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 5, 2, 2, 2, 0, 7, 1, 2, 2, 0, 0, 9, 2, 2, 5, 5, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 5, 5, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 5, 2, 2, 1, 1, 0, 0, 7, 2, 2, 2, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 0, 0, 4, 0, 0, 0, 0, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 5, 2, 2, 1, 1, 0, 0, 7, 2, 2, 2, 1 ]
[ 465, 13663, 1970, 203, 465, 43744, 978, 203, 465, 2361, 203, 465, 5741, 203, 465, 1133, 203, 465, 7744, 203, 1070, 43744, 978, 32, 1356, 32, 2393, 36, 1188, 1205, 203, 1070, 13663, 1970, 32, 8774, 1188, 16469, 525, 30, 3744, 203, 465, 5167, 203, 1070, 5167, 32, 2393, 1188, 4808, 15100, 2681, 203, 823, 1910, 2400, 30387, 26, 1473, 711, 284, 3523, 280, 5167, 32, 3135, 346, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 4073, 280, 5741, 32, 10579, 463, 3477, 32, 99, 2400, 30387, 683, 291, 630, 32, 890, 1237, 280, 3177, 291, 630, 32, 22297, 280, 3177, 291, 630, 32, 858, 1237, 280, 1665, 291, 13663, 1970, 32, 43510, 32, 1689, 1371, 324, 330, 426, 950, 330, 99, 4587, 30387, 370, 324, 330, 314, 950, 330, 99, 2400, 30387, 370, 324, 330, 858, 950, 13663, 1970, 32, 13803, 3197, 474, 330, 99, 2400, 30387, 33, 7075, 370, 324, 330, 4151, 950, 428, 400, 5053, 681, 950, 330, 2420, 370, 330, 1172, 950, 330, 6601, 370, 330, 426, 950, 330, 99, 2400, 30387, 81, 4898, 8885, 400, 5053, 681, 950, 330, 878, 370, 330, 1172, 950, 330, 2672, 636, 370, 330, 426, 950, 330, 99, 2400, 30387, 81, 426, 8885, 400, 5053, 681, 950, 330, 878, 370, 330, 1172, 950, 330, 2027, 517, 11212, 370, 330, 10335, 950, 330, 5007, 370, 330, 426, 950, 330, 99, 2400, 30387, 81, 2035, 8885, 400, 5053, 681, 950, 330, 878, 370, 330, 1172, 950, 330, 3437, 370, 330, 10335, 950, 330, 42, 34, 42, 34, 370, 330, 426, 950, 330, 99, 2400, 30387, 81, 625, 8885, 400, 5053, 681, 950, 330, 878, 370, 330, 1172, 950, 330, 8650, 370, 330, 426, 950, 330, 99, 2400, 30387, 81, 699, 8885, 400, 5053, 681, 950, 330, 2895, 370, 330, 1172, 950, 330, 4049, 370, 330, 426, 950, 330, 99, 2400, 30387, 81, 2895, 8885, 400, 5053, 681, 950, 330, 2420, 370, 330, 1172, 950, 330, 4391, 14156, 370, 330, 426, 950, 330, 99, 2400, 30387, 81, 6482, 8885, 400, 5053, 681, 950, 330, 878, 370, 330, 1172, 950, 330, 17696, 7664, 2552, 370, 330, 10335, 950, 2550, 330, 3801, 950, 330, 17696, 7664, 2552, 538, 44, 1678, 555, 99, 8045, 32, 4116, 32, 508, 370, 330, 426, 950, 330, 99, 2400, 30387, 81, 9833, 81, 5866, 81, 1204, 8885, 324, 1481, 291, 1790, 284, 477, 380, 10257, 978, 32, 41856, 346, 284, 477, 1981, 346, 284, 665, 1650, 26, 784, 711, 291, 442, 13663, 1970, 32, 38652, 2418, 32, 371, 81, 2387, 463, 99, 2400, 30387, 32, 916, 1814, 3169, 26, 1423, 426, 1057, 99, 2400, 30387, 370, 2676, 3337, 47, 784, 32, 1840, 3337, 1157, 284, 665, 2676, 3337, 26, 784, 711, 291, 3408, 280, 16469, 525, 26, 384, 1970, 32, 3550, 32, 371, 463, 99, 2400, 30387, 81, 2035, 370, 330, 2847, 291, 2601, 280, 13663, 1970, 32, 3550, 32, 371, 463, 99, 2400, 30387, 81, 625, 370, 9142, 291, 17778, 280, 330, 101, 25, 415, 13663, 1970, 32, 3550, 32, 371, 463, 99, 2400, 30387, 81, 6482, 370, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 9, 8, 9, 7, 8, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 8, 8, 11, 11, 9, 12, 11, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 8, 8, 11, 11, 9, 10, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 10, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 10, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 11, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 10, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 10, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 10, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 10, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 10, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 11, 14, 14, 12, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 8, 8, 2, 2, 7, 7, 7, 6, 7, 6, 3, 3, 6, 6, 3, 3, 4, 5, 6, 5, 4, 4, 6, 12, 11, 12, 12, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 9, 8, 10, 10, 9, 11, 11, 11, 11, 8, 10, 9, 12, 11, 12, 12, 11, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 12, 12, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 10, 12, 4, 4, 6, 6, 10, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 4, 4, 6, 6, 9, 9, 7, 7, 11, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 9 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 4, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 2, 9, 9, 0, 0, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 1, 2, 5, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 1, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 7, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 7, 1, 2, 3, 1, 2, 7, 1, 2, 5, 1, 1, 1, 1, 2, 7, 1, 2, 7, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 9, 1, 2, 3, 1, 2, 9, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 11, 1, 2, 3, 1, 2, 11, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 13, 1, 2, 3, 1, 1, 2, 13, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 15, 1, 2, 3, 1, 1, 1, 2, 15, 1, 2, 5, 15, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 3, 0, 0, 2, 2, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1 ]
[ 465, 7744, 203, 1070, 3984, 106, 32, 2304, 1188, 3619, 81, 3855, 81, 1293, 203, 465, 3984, 106, 619, 13736, 203, 505, 464, 505, 280, 3037, 2627, 81, 5854, 81, 10415, 392, 313, 10089, 81, 2627, 81, 5854, 81, 10415, 1446, 203, 50, 978, 81, 3855, 81, 1293, 26, 37, 27, 203, 589, 2064, 81, 5854, 81, 10415, 26, 57, 30, 310, 10415, 47, 35, 30, 1769, 81, 2754, 307, 47, 35, 34, 34, 30, 9124, 47, 2521, 711, 284, 415, 570, 32, 297, 81, 47682, 2262, 291, 3636, 13736, 32, 4711, 74, 924, 440, 2627, 81, 5854, 81, 10415, 346, 646, 3417, 436, 36575, 26611, 7144, 284, 415, 310, 10415, 848, 1769, 81, 2754, 307, 44, 291, 3636, 13736, 32, 4711, 74, 924, 440, 1918, 432, 2535, 7333, 848, 1451, 432, 19843, 6660, 7144, 284, 415, 2069, 26, 57, 27, 333, 225, 38, 44, 291, 3636, 13736, 32, 4711, 74, 924, 440, 3406, 1401, 6679, 2784, 12074, 5166, 7144, 284, 310, 280, 225, 34, 284, 12947, 998, 280, 225, 34, 284, 5036, 30, 18667, 280, 8529, 2740, 57, 32, 20221, 1157, 10065, 281, 1479, 280, 13736, 32, 2304, 32, 12018, 81, 13081, 26, 32558, 27, 10065, 36444, 81, 7508, 280, 13736, 32, 2304, 32, 39933, 81, 7508, 284, 2218, 12947, 998, 333, 310, 10415, 44, 291, 308, 1707, 30, 34489, 27, 280, 36444, 81, 7508, 26, 36, 30, 281, 13081, 47, 21195, 30, 9124, 47, 7389, 27, 291, 415, 7890, 610, 34489, 44, 324, 4036, 16189, 1044, 280, 5036, 77, 1707, 79, 16189, 816, 280, 5036, 77, 15751, 79, 291, 354, 280, 9124, 32, 11447, 26, 668, 26, 57, 77, 103, 5259, 291, 533, 280, 9124, 32, 11447, 26, 668, 26, 57, 77, 106, 5259, 291, 415, 354, 610, 533, 44, 324, 4036, 16189, 415, 308, 106, 646, 328, 570, 77, 103, 1130, 461, 308, 107, 646, 328, 570, 77, 104, 10794, 23688, 570, 32, 669, 81, 5854, 26, 103, 30, 816, 27, 324, 570, 32, 669, 81, 5854, 26, 104, 30, 533, 27, 324, 570, 32, 2546, 81, 5854, 26, 103, 30, 354, 27, 324, 570, 32, 2546, 81, 5854, 26, 106, 30, 533, 27, 324, 12947, 998, 1454, 225, 35, 291, 415, 310, 2377, 1769, 81, 2754, 307, 44, 324, 484, 280, 308, 400, 296, 20, 12726, 1451, 432, 12947, 20130, 5989, 96, 1748, 31793, 313, 400, 296, 20, 5553, 10848, 2535, 7333, 34016, 5989, 96, 10415, 12665, 20, 324, 829, 324, 3636, 13736, 32, 4711, 74, 10448, 924, 26, 87, 27, 291, 310, 1454, 225, 35, 284, 442, 570, 203, 50, 978, 81, 3855, 81, 1293, 26, 37, 27, 203, 589, 9475, 81, 2627, 81, 5854, 81, 10415, 26, 57, 30, 310, 10415, 47, 35, 30, 617, 3518, 81, 10402, 47, 37, 30, 9124, 47, 2521, 711, 284, 415, 646, 13736, 32, 297, 81, 10089, 26, 57, 711, 291, 3636, 13736, 32, 4711, 74, 924, 440, 3406, 646, 9475, 657, 284, 415, 2069, 26, 57, 27, 333, 225, 38, 44, 291, 3636, 13736, 32, 4711, 74, 924, 440, 3406, 1401, 6679, 2784, 12074, 5166, 7144, 284, 310, 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, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 4, 4, 4, 4, 4, 4, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 5, 4, 5, 3, 3, 5, 5, 5, 4, 5, 5, 5, 3, 3, 4, 5, 3, 2, 2, 4, 6, 7, 7, 7, 6, 4, 4, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 6, 5, 5, 6, 6, 6, 4, 4, 4, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 7, 8, 7, 5, 5, 6, 4, 4, 4, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 3, 3, 5, 5, 6, 3, 3, 6, 5, 5, 6, 3, 3, 6, 6, 5, 5, 7, 11, 10, 11, 10, 3, 3, 6, 5, 5, 8, 9, 7, 8, 8, 8, 7, 8, 7, 3, 3, 6, 6, 5, 5, 7, 8, 6, 7, 7, 7, 3, 3, 4, 6, 5, 5, 6, 4, 4, 4, 9, 8, 8, 8, 7, 7, 9, 9, 9, 10, 9, 9, 11, 10, 11, 9, 9, 10, 11, 9, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 7, 7, 8, 9, 8, 5, 5, 7, 7, 8, 9, 8, 5, 5, 7, 7, 9, 10, 9, 11, 11, 13, 12, 13, 12, 5, 5, 7, 7, 9, 10, 9, 11, 11, 13, 12, 13, 12, 5, 5, 6, 7, 7, 6, 6, 6, 5, 5, 6, 10, 9, 9, 9, 10, 11, 10, 7, 7, 10, 9, 9, 9, 10, 11, 10, 6, 6, 10, 11, 11, 11, 10, 11, 10, 10, 10, 7, 7, 10, 11, 11, 11, 10, 11, 10, 10, 10, 7, 7, 10, 11, 11, 11, 10, 11, 10, 10, 10, 7, 7, 10, 11, 11, 11, 10, 11, 10, 10, 10, 7, 7, 10, 9, 9, 10, 5, 5, 6, 7, 7, 8, 8, 8, 6, 6, 6, 9, 9, 10, 10, 13, 13, 13, 13, 13, 13, 13, 14, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 13, 10, 10, 7, 7, 8, 10, 11, 11, 11, 11, 10, 11, 10, 5, 5, 7, 7, 8, 3, 3, 4, 0, 2, 4, 4, 4, 4, 4, 4, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 5, 4, 5, 3, 3, 5, 5, 5, 4, 5, 3, 3, 4, 5, 3, 2, 2, 4, 5, 7, 8, 8, 8, 7, 8, 7, 4, 4, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 3, 3, 4, 7, 8, 7, 5, 5, 6, 4, 4, 4, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 3, 3, 5 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 0, 0, 0, 5, 2, 2, 2, 2, 2, 7, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 8, 0, 1, 1, 2, 8, 8, 8, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 3, 2, 1, 1, 5, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 3, 3, 6, 1, 1, 6, 6, 6, 3, 3, 7, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 7, 7, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 3, 3, 8, 1, 1, 2, 2, 2, 8, 8, 8, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 2, 2, 3, 3, 1, 0, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 2, 4, 4, 9, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 0, 0, 0, 5, 2, 2, 2, 7, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0 ]
[ 1070, 8527, 2033, 1188, 3079, 619, 8527, 81, 2387, 203, 1070, 8527, 32, 2387, 1188, 1244, 3963, 619, 8527, 81, 1536, 3963, 203, 1070, 8527, 32, 2304, 264, 1188, 7328, 619, 8527, 81, 8644, 203, 3317, 280, 8527, 81, 2387, 32, 5876, 346, 203, 50, 3317, 32, 2142, 203, 589, 38912, 26, 3922, 30, 2404, 711, 203, 202, 601, 551, 9319, 1212, 26, 1956, 32, 2998, 81, 8078, 8532, 35, 19572, 203, 50, 3317, 32, 2142, 203, 589, 38912, 81, 965, 26, 3922, 30, 2404, 711, 203, 202, 8078, 280, 2404, 32, 2998, 81, 8078, 346, 203, 202, 325, 2069, 26, 8078, 27, 610, 225, 36, 44, 357, 202, 601, 38912, 26, 3922, 30, 2404, 27, 1659, 202, 1311, 280, 7299, 32, 3235, 26, 35, 27, 203, 202, 1956, 32, 8078, 280, 330, 5608, 2524, 26, 8078, 27, 203, 202, 965, 280, 8527, 81, 1536, 3963, 32, 965, 26, 3922, 30, 2404, 27, 203, 202, 601, 15807, 31633, 1212, 26, 1311, 30, 1984, 27, 203, 823, 551, 9319, 1212, 26, 11025, 81, 2387, 32, 1212, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 2181, 711, 357, 202, 784, 32, 1132, 280, 428, 11025, 81, 2387, 32, 3818, 26, 626, 27, 436, 1638, 328, 2181, 79, 203, 202, 589, 2908, 26, 784, 30, 1619, 711, 357, 202, 1311, 280, 630, 32, 1132, 77, 34, 997, 869, 357, 202, 325, 1780, 32, 1809, 463, 6945, 683, 610, 429, 35, 461, 1780, 32, 1809, 463, 1492, 683, 610, 429, 35, 44, 355, 202, 1270, 44, 603, 202, 695, 261, 280, 630, 32, 1132, 77, 34, 79, 603, 202, 1311, 280, 909, 32, 5284, 26, 1819, 27, 355, 202, 7343, 44, 603, 202, 1311, 280, 4247, 357, 202, 1824, 44, 355, 202, 1311, 280, 8527, 81, 8644, 32, 11383, 81, 9941, 26, 1311, 32, 7201, 463, 6945, 1814, 7201, 463, 1492, 2847, 357, 202, 965, 280, 1665, 357, 202, 325, 2069, 26, 784, 32, 1132, 27, 848, 225, 35, 44, 355, 202, 695, 280, 630, 32, 1132, 77, 35, 79, 355, 202, 1270, 44, 603, 202, 965, 280, 909, 32, 5284, 26, 1819, 27, 355, 202, 7343, 8527, 81, 2387, 32, 3818, 34747, 44, 603, 202, 965, 280, 1665, 357, 202, 601, 2908, 81, 11821, 26, 1311, 30, 1984, 280, 1984, 27, 203, 823, 15807, 31633, 1212, 26, 11025, 81, 2387, 32, 1212, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 1780, 30, 1984, 81, 1251, 711, 357, 202, 784, 32, 1311, 264, 280, 8527, 81, 2387, 32, 3818, 26, 1311, 27, 357, 202, 784, 32, 965, 81, 1251, 280, 1984, 81, 1251, 203, 202, 589, 2908, 26, 784, 30, 1619, 711, 357, 202, 1311, 280, 630, 32, 1311, 32, 869, 357, 202, 325, 1780, 32, 1809, 463, 6945, 683, 610, 429, 35, 461, 1780, 32, 1809, 463, 1492, 683, 610, 429, 35, 44, 355, 202, 1270, 44, 603, 202, 695, 261, 280, 630, 32, 1311, 603, 202, 1311, 280, 909, 32, 5284, 26, 1819, 27, 355, 202, 7343, 44, 603, 202, 1311, 280, 4247, 357, 202, 1824, 44, 355, 202, 1311, 280, 8527 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 2, 2, 3, 3, 0, 3, 2, 2, 5, 5, 4, 5, 4, 0, 2, 4, 3, 4, 1, 2, 2, 3, 4, 3, 3, 3, 2, 2, 4, 4, 6, 6, 6, 10, 9, 10, 10, 10, 9, 9, 8, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 2, 2, 6, 5, 5, 7, 8, 8, 8, 7, 3, 3, 4, 4, 7, 8, 7, 5, 5, 6, 4, 4, 4, 6, 6, 8, 9, 8, 8, 8, 3, 3, 6, 5, 5, 7, 8, 7, 8, 7, 3, 3, 7, 6, 7, 5, 5, 9, 8, 7, 8, 7, 3, 3, 6, 5, 5, 8, 8, 8, 7, 8, 7, 8, 7, 7, 7, 3, 3, 4, 4, 6, 6, 6, 7, 6, 6, 6, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 6, 6, 10, 10, 10, 9, 10, 9, 10, 9, 7, 8, 8, 8, 7, 2, 2, 3, 3, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 9, 10, 8, 9, 8, 8, 4, 4, 5, 5, 9, 10, 9, 12, 11, 7, 7, 9, 6, 6, 9, 10, 9, 12, 11, 7, 7, 9, 5, 5, 5, 7, 7, 7, 7, 11, 10, 10, 10, 12, 13, 11, 12, 11, 8, 8, 11, 10, 10, 12, 13, 12, 13, 12, 7, 7, 8, 8, 8, 8, 12, 11, 11, 5, 5, 6, 6, 6, 6, 10, 9, 9, 12, 12, 11, 12, 12, 12, 11, 16, 15, 16, 15, 18, 17, 14, 13, 16, 15, 4, 4, 7, 6, 6, 4, 4, 5, 5, 8, 10, 9, 10, 8, 6, 6, 7, 5, 5, 5, 9, 8, 8, 10, 11, 9, 10, 9, 6, 6, 7, 7, 7, 7, 11, 10, 10, 12, 13, 12, 13, 12, 7, 7, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 12, 11, 11, 4, 4, 5, 5, 7, 7, 7, 8, 7, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 8, 7, 8, 6, 6, 6, 9, 9, 8, 9, 8, 9, 8, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 3, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 9, 7, 8, 4, 4, 5, 5, 9, 10, 9, 12, 11, 7, 7, 9, 6, 6, 9, 10, 9, 12, 11, 7, 7, 9, 5, 5, 5, 7, 7, 7, 7, 11, 10, 10, 10, 11, 12, 8, 8, 11, 10, 10, 12, 13, 12, 13, 12, 7, 7, 8, 8, 8, 8, 12, 11, 11, 5, 5, 6, 6, 6, 6, 10, 9, 9 ]
[ 0, 0, 0, 0, 0, 3, 3, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 3, 3, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 5, 5, 0, 0, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 2, 0, 0, 0, 1, 2, 2, 6, 6, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 4, 4, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 4, 4, 0, 0, 0, 4, 4, 3, 3, 1, 0, 1, 2, 1, 1, 1, 2, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 2, 2, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 7, 7, 1, 1, 2, 0, 0, 0, 1, 2, 2, 7, 7, 0, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 1, 1, 4, 4, 4, 4, 0, 0, 0 ]
[ 465, 4281, 81, 6446, 32, 3378, 203, 465, 8527, 32, 1199, 32, 3378, 32, 30550, 203, 465, 8527, 32, 2304, 32, 18218, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 465, 1542, 81, 2304, 32, 4151, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 12522, 32, 1586, 44930, 81, 9277, 26, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 291, 2726, 19276, 370, 330, 34, 35, 35, 34, 81, 669, 81, 1536, 81, 8919, 81, 16754, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 58, 20538, 10708, 29720, 7940, 4191, 1240, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 30400, 26, 2837, 81, 4524, 47, 1815, 30, 11771, 47, 1815, 30, 3082, 81, 1055, 47, 1815, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 4524, 370, 1542, 81, 2304, 32, 4151, 32, 4741, 6873, 1176, 26, 1536, 47, 11025, 32, 2304, 32, 18218, 32, 2174, 30, 23716, 47, 2700, 30, 9541, 81, 426, 1057, 4524, 13356, 400, 2726, 10454, 370, 1542, 81, 2304, 32, 4151, 32, 4741, 46262, 1176, 26, 1536, 47, 11025, 32, 2304, 32, 18218, 32, 2174, 30, 23716, 47, 2700, 30, 9541, 81, 426, 1057, 10454, 13356, 400, 2726, 496, 81, 1935, 370, 4549, 32, 4477, 1176, 26, 1449, 81, 1322, 47, 36, 39, 38, 3662, 400, 2726, 6446, 81, 314, 370, 4549, 32, 4741, 1176, 26, 4457, 81, 678, 47, 1815, 30, 12741, 47, 2700, 3662, 400, 2726, 6446, 81, 770, 370, 4549, 32, 36172, 6182, 400, 2726, 6446, 81, 2342, 81, 10354, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 30, 744, 47, 1815, 3662, 400, 2726, 6446, 81, 681, 370, 4549, 32, 16357, 26, 19833, 6020, 37984, 370, 330, 6873, 1425, 2726, 112, 370, 330, 3650, 1425, 2726, 41085, 330, 13576, 36977, 1769, 81, 1322, 47, 35, 3662, 400, 2726, 19276, 81, 7123, 370, 4549, 32, 13343, 26, 5006, 47, 1815, 30, 3082, 81, 12704, 47, 2700, 30, 744, 47, 1815, 30, 544, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 1680, 81, 44472, 1392, 30, 5886, 81, 426, 27789, 370, 372, 1057, 19276, 32, 29720, 7940, 13356, 400, 2726, 6446, 81, 496, 370, 4549, 32, 13343, 26, 1693, 47, 1815, 30, 544, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 2695, 81, 3293, 30, 5886, 81, 426, 27789, 370, 372, 47, 3550, 32, 9036, 81, 4975, 81, 14483, 3662, 324, 2505, 324, 2075, 1279, 400, 330, 371, 81, 5323, 81, 1170, 950, 330, 6446, 81, 770, 370, 400, 330, 10529, 81, 426, 950, 330, 90, 20538, 11350, 34214, 9697, 5605, 1256, 370, 400, 330, 24576, 950, 2726, 31, 6446, 81, 770, 370, 6470, 6446, 81, 314, 1425, 324, 801, 324, 26394, 4310, 6656, 81, 6446, 32, 3378, 32, 58, 20538, 9574, 30, 4549, 32, 1243, 471, 291, 2588, 291, 12522, 32, 44563, 26, 324, 636, 1057, 10708, 29720, 7940, 4191, 1240, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 7, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 14, 14, 13, 14, 12, 13, 13, 13, 12, 14, 13, 17, 16, 17, 15, 16, 14, 15, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 14, 14, 13, 14, 12, 13, 13, 13, 12, 14, 13, 17, 16, 17, 15, 16, 14, 15, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 15, 17, 15, 17, 17, 14, 17, 17, 15, 17, 17, 14, 17, 15, 17, 17, 12, 14, 14, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 18, 17, 18, 16, 17, 15, 16, 14, 15, 15, 15, 15, 12, 12, 14, 14, 13, 15, 12, 13, 15, 15, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 14, 14, 13, 18, 17, 18, 16, 17, 15, 16, 14, 15, 15, 15, 12, 12, 14, 14, 13, 15, 12, 13, 15, 14, 15, 15, 15, 15, 15, 12, 9, 9, 7, 7, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 9, 9, 7, 7, 8, 12, 12, 12, 11, 12, 10, 11, 11, 11, 9, 9, 10, 11, 9, 7, 7, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12 ]
[ 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 4, 1, 6, 0, 2, 2, 1, 2, 1, 4, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 4, 4, 0, 5, 5, 0, 0, 1, 2, 0, 6, 6, 2, 0, 1, 2, 2, 6, 6, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 2, 3, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 1, 2, 2, 2, 1, 2, 5, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 1, 2, 2, 2, 1, 1, 1, 2, 7, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 9, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 2, 2, 1, 1, 1, 2, 11, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 13, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 2, 2, 1, 1, 1, 2, 15, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 5, 1, 2, 1, 0, 0, 3, 2, 1, 2, 2, 1, 1, 1, 2, 17, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 9, 2, 1, 11, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 19, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 5, 2, 1, 7, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 7, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0 ]
[ 1070, 3145, 1032, 2034, 32, 9441, 32, 2304, 1188, 6086, 203, 1070, 273, 38200, 32, 8347, 1188, 12104, 203, 1070, 273, 38200, 32, 716, 5837, 1188, 439, 1752, 41540, 203, 1070, 273, 38200, 32, 33420, 944, 1188, 1015, 81, 13068, 81, 7133, 203, 1070, 35094, 1188, 33845, 203, 465, 5741, 203, 465, 2322, 203, 465, 17787, 203, 1070, 22493, 32, 43392, 32, 2416, 1188, 6833, 4198, 7584, 203, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 81, 5178, 81, 280, 1665, 203, 589, 6929, 81, 1664, 26, 5178, 711, 284, 3649, 617, 5178, 81, 284, 617, 5178, 81, 280, 6929, 203, 589, 6929, 81, 1664, 81, 25474, 26, 5178, 81, 891, 30, 4588, 47, 2700, 711, 284, 10308, 81, 5178, 280, 6833, 4198, 7584, 26, 5178, 81, 891, 27, 284, 6929, 81, 1664, 26, 9441, 81, 5178, 27, 284, 415, 4588, 438, 2933, 44, 291, 1015, 81, 13068, 81, 7133, 26, 9441, 81, 5178, 32, 16080, 27, 284, 5741, 32, 1338, 440, 5178, 629, 564, 1191, 623, 904, 101, 13185, 392, 6929, 81, 891, 27, 284, 442, 10308, 81, 5178, 203, 589, 3649, 81, 5178, 2262, 284, 3649, 617, 5178, 81, 284, 442, 617, 5178, 81, 203, 589, 3909, 81, 5178, 26, 426, 30, 6929, 711, 284, 6086, 32, 470, 81, 3142, 26, 426, 30, 6929, 27, 203, 589, 1401, 81, 9441, 81, 1819, 26, 88, 711, 284, 436, 831, 30, 354, 328, 17787, 32, 9569, 26, 88, 547, 5138, 32, 3028, 2262, 291, 415, 354, 32, 4330, 610, 330, 9441, 81, 1819, 950, 324, 442, 831, 203, 589, 1420, 81, 266, 81, 5178, 2176, 6320, 30, 617, 88, 30, 617, 2040, 81, 1819, 30, 1619, 30, 319, 1132, 30, 1115, 5321, 711, 284, 16539, 280, 2322, 32, 371, 6320, 346, 863, 617, 6320, 284, 415, 16539, 461, 439, 1752, 41540, 32, 1700, 26, 2700, 711, 291, 15803, 32, 2811, 440, 3815, 299, 273, 38200, 27311, 657, 291, 439, 1752, 41540, 32, 3815, 81, 1700, 346, 291, 439, 1752, 41540, 32, 3815, 81, 2386, 346, 284, 15803, 32, 2811, 440, 10333, 904, 101, 904, 101, 392, 2322, 32, 371, 6320, 1026, 1619, 27, 284, 415, 617, 2040, 81, 1819, 44, 291, 10306, 11359, 2040, 81, 1819, 79, 280, 1619, 284, 1056, 280, 617, 88, 2740, 1132, 30, 1115, 5321, 27, 284, 415, 646, 16539, 44, 291, 442, 1056, 284, 415, 6937, 26, 1267, 30, 12104, 711, 291, 15803, 32, 2811, 463, 10333, 973, 273, 38200, 372, 6153, 683, 291, 665, 3390, 2740, 1132, 30, 1115, 5321, 711, 324, 15803, 32, 2811, 463, 44615, 273, 38200, 683, 324, 439, 1752, 41540, 32, 1700, 922, 4048, 346, 291, 1056, 32, 669, 81, 5087, 81, 4383, 26, 5087, 27, 291, 439, 1752, 41540, 32, 1700, 922, 1366, 346, 291, 1056, 280, 1056, 32, 1267, 346, 284, 442, 1619, 30, 1056, 203, 589, 6929, 2176, 88, 30, 2869, 81, 426, 47, 2521, 711, 284, 1401, 81, 1819, 280, 1401, 81, 9441, 81, 1819, 2176, 88, 27, 284, 477, 4071, 101, 2176, 88, 27, 284, 665, 1476, 2176, 88, 30, 1619, 30, 319, 1132, 30, 1115 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 2, 2, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 6, 6, 6, 5, 2, 2, 3, 4, 4, 3, 3, 3, 7, 7, 7, 7, 7, 9, 9, 9, 8, 9, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 6, 6, 6, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 8, 9, 8, 9, 8, 7, 5, 6, 5, 3, 3, 5, 7, 8, 6, 6, 8, 8, 8, 8, 5, 5, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 4, 4, 7, 8, 8, 7, 5, 5, 6, 2, 2, 3, 4, 4, 7, 7, 6, 7, 6, 7, 6, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 8, 8, 7, 8, 8, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 5, 7, 8, 8, 7, 5, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 7, 8, 8, 8, 7, 6, 6, 2, 2, 4, 4, 6, 6, 8, 6, 6, 8, 6, 2, 2, 3, 4, 3, 3, 3, 5, 2, 2, 3, 5, 6, 5, 5, 5, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 8, 6, 6, 8, 6, 5, 5, 9, 10, 9, 11, 11, 11, 11, 6, 6, 12, 12, 11, 12, 11, 10, 9, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 10, 10, 9, 10, 9, 8, 7, 4, 4, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 6, 6, 6, 7, 6, 3, 3, 4, 5, 6, 5, 5, 5, 5, 7, 5, 5 ]
[ 0, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 12, 12, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 12, 12, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 4, 1, 1, 0, 13, 13, 1, 1, 2, 13, 13, 0, 1, 1, 4, 4, 1, 1, 1, 0, 14, 14, 1, 1, 2, 1, 2, 2, 2, 14, 14, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 15, 15, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 16, 16, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 5, 2, 2, 2, 2, 1, 2, 2, 1, 2, 16, 16, 0, 0, 0, 2, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 5, 5, 5, 0, 4, 4, 6, 1, 1, 1, 1, 1, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 2, 1, 3, 3, 0, 0, 0, 2, 1, 4, 4, 7, 1, 1, 0, 17, 17, 2, 1, 2, 2, 0, 0, 3, 2, 2, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 261, 203, 1070, 29252, 380, 1193, 1188, 8181, 30, 5296, 30, 706, 30, 1692, 30, 5741, 30, 9934, 30, 17393, 203, 1070, 29252, 380, 1193, 32, 9777, 1188, 319, 261, 203, 465, 6436, 619, 2065, 261, 203, 1070, 6436, 1188, 9812, 30, 10712, 30, 28066, 30, 1245, 30, 1245, 35, 34, 30, 8316, 30, 10858, 30, 17058, 30, 1230, 30, 23228, 36, 2315, 30, 5865, 36, 7273, 30, 11220, 1166, 30, 619, 955, 203, 1070, 6436, 32, 3855, 1188, 3995, 30, 10477, 410, 30, 4302, 30, 20564, 203, 465, 2322, 261, 203, 81, 578, 2976, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 203, 500, 32, 31015, 2176, 578, 2976, 27, 203, 2832, 558, 280, 1044, 1182, 12859, 520, 25, 261, 203, 2832, 1120, 280, 301, 103, 1182, 2411, 950, 1044, 25, 34, 34, 35, 370, 1044, 25, 24219, 950, 1044, 2699, 111, 203, 30114, 280, 17393, 32, 17059, 1792, 7167, 26, 11702, 47, 2832, 1120, 30, 1780, 47, 2832, 558, 27, 203, 325, 40260, 32, 2950, 610, 3177, 44, 5296, 32, 16997, 346, 261, 203, 2832, 1120, 710, 770, 785, 280, 706, 32, 22104, 2007, 346, 261, 203, 2832, 1120, 710, 2832, 558, 785, 280, 2910, 558, 203, 3607, 280, 617, 578, 2976, 474, 2322, 32, 12595, 474, 330, 605, 9708, 101, 16335, 101, 16335, 101, 25, 18147, 2832, 1120, 710, 24219, 2188, 2910, 558, 30, 2910, 1120, 710, 770, 3490, 203, 578, 3866, 280, 706, 32, 10386, 1972, 26, 426, 47, 2832, 558, 30, 1503, 26409, 284, 6717, 1120, 47, 2832, 1120, 30, 6091, 1120, 47, 2521, 30, 284, 7382, 1215, 47, 103, 18010, 3699, 33, 19136, 267, 33, 11853, 33, 11663, 33, 6905, 1466, 31, 27552, 31, 36, 34, 35, 39, 33, 66, 5815, 1506, 4997, 33, 37017, 520, 32, 39238, 2832, 370, 284, 4131, 14686, 274, 47, 1815, 30, 4131, 26905, 1031, 47, 1815, 30, 284, 706, 6777, 47, 3607, 27, 203, 751, 974, 280, 5741, 32, 33402, 26, 3607, 29, 2473, 751, 370, 3193, 47, 7490, 32, 12275, 27, 203, 7490, 32, 4466, 32, 34318, 26, 7490, 32, 10431, 27, 261, 203, 416, 3866, 6529, 280, 3177, 261, 203, 4463, 280, 8181, 32, 1669, 26, 891, 4310, 36, 39, 40, 34, 30, 225, 35, 38, 38, 34, 471, 3536, 10325, 47, 1815, 30, 4809, 47, 34, 30, 2608, 10580, 47, 2700, 30, 2608, 20154, 47, 2700, 30, 284, 9300, 47, 103, 1330, 445, 8536, 370, 1963, 6020, 34, 30, 34, 30, 34, 614, 1963, 5135, 1057, 8270, 370, 284, 27335, 2101, 1057, 10074, 370, 793, 56, 3183, 47, 1815, 30, 284, 829, 203, 2832, 1120, 710, 1744, 5580, 20950, 4463, 32, 371, 11045, 2136, 5580, 346, 203, 325, 2910, 1120, 710, 1744, 5580, 785, 6901, 2521, 44, 284, 3118, 29188, 280, 225, 35, 32, 34, 33, 1497, 26, 2832, 1120, 710, 1744, 5580, 3490, 203, 1824, 44, 284, 3118, 29188, 280, 225, 35, 32, 34, 33, 40, 34, 32, 34, 225, 203, 18744, 11396, 280, 5296, 32, 11396, 346, 203, 18350, 1031, 280, 8181 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 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, 1, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 0, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 4, 3, 4, 3, 4, 4, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 0, 0, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 6, 6, 6, 4, 6, 3, 0, 3, 2, 2, 4, 5, 5, 5, 4, 6, 5, 6, 6, 4, 4, 5, 6, 6, 4, 0, 1, 1, 3, 4, 2, 2, 1, 1, 5, 6, 5, 0, 0, 4, 4, 3, 5, 5, 2, 2, 4, 5, 5, 4, 0, 0, 4, 4, 3, 5, 5, 5, 2, 2, 3, 0, 3, 2, 2, 5, 5, 4, 4, 5, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 7, 7, 6, 8, 8, 5, 6, 5, 5, 7, 6, 8, 8, 0, 3, 3, 2, 2, 4, 5, 5, 4, 6, 5, 6, 6, 4, 4, 5, 4, 4, 6, 5, 6, 6, 4, 4, 6, 5, 6, 4, 4, 4, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 0, 3, 3, 2, 2, 4, 5, 4, 6, 5, 7, 7, 7, 4, 5, 7, 6, 7, 4, 0, 5, 4, 5, 3, 4, 3, 5, 4, 5, 3, 0, 0, 3, 3, 3, 2, 2, 0, 0, 3, 2, 2, 4, 5, 4, 6, 5, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 4, 6, 5, 6, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 4, 5, 7, 7, 7, 7, 7, 4, 5, 7, 6, 7, 6, 7, 6, 4, 6, 5, 7, 7, 4, 4, 6, 5, 7, 7, 4, 6, 6, 5, 6, 4, 4, 4, 0, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 0, 1, 1, 4, 3, 5, 5, 5, 2, 3, 1, 1, 1, 5, 4, 4, 6, 6, 6, 5, 7, 7, 9, 9, 8, 10, 10, 10, 1, 2, 2, 2, 2, 6, 5, 5, 7, 7, 7, 6, 7, 7, 7, 7, 0, 0, 3, 3, 2, 2, 4, 5, 4, 0, 3, 3, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 1, 1, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 3, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 0, 12, 12, 0, 2, 1, 1, 12, 12, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 3, 2, 2, 0, 5, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 1, 1, 0, 5, 2, 2, 1, 1, 0, 7, 2, 1, 1, 1, 0, 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, 2, 1, 1, 0, 0, 11, 2, 1, 1, 0, 0, 13, 2, 1, 1, 1, 0, 15, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 3, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 7, 2, 1, 1, 0, 9, 2, 1, 1, 1, 11, 0, 0, 1, 1, 2, 1, 13, 1, 2, 3, 2, 5, 2, 1, 0, 15, 1, 2, 1, 1, 0, 17, 1, 2, 1, 0, 0, 19, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 22, 22, 0, 0, 1, 1, 2, 1, 2, 22, 22, 22, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 22, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0 ]
[ 1070, 32625, 32, 4266, 1188, 32625, 858, 203, 1070, 32625, 32, 4266, 1188, 3395, 1191, 203, 465, 3996, 81, 38759, 203, 465, 6436, 619, 2065, 203, 465, 14785, 619, 5239, 203, 465, 26073, 203, 465, 5246, 9573, 1649, 203, 465, 3996, 1299, 81, 3378, 619, 4549, 203, 465, 3996, 1299, 81, 6631, 20455, 619, 26114, 203, 465, 26611, 619, 3996, 81, 2304, 203, 465, 12877, 203, 823, 4593, 24319, 13666, 20455, 4470, 26, 5609, 1191, 32, 7233, 711, 334, 665, 617, 5522, 81, 23626, 81, 1160, 26, 784, 711, 284, 8482, 2265, 280, 5246, 9573, 1649, 32, 30658, 7929, 2265, 346, 284, 3438, 6911, 280, 2107, 1197, 370, 330, 30724, 370, 330, 9350, 35, 53, 47, 6905, 36, 47, 53, 35, 53, 41150, 65, 27, 64, 26, 53, 41150, 65, 27, 64, 36, 53, 27, 53, 785, 284, 26611, 280, 3996, 81, 2304, 32, 44717, 81, 452, 81, 23626, 81, 7288, 26, 44717, 30, 8482, 2265, 27, 284, 5239, 32, 3855, 32, 470, 81, 7389, 26, 34, 27, 284, 1542, 280, 26073, 32, 57, 5804, 26, 39, 30, 225, 37, 30, 225, 35, 34, 30, 225, 35, 30, 4549, 32, 38715, 463, 89, 4977, 1425, 330, 15159, 370, 1014, 12877, 32, 2922, 620, 32, 19981, 30, 225, 37, 27, 284, 1542, 26, 23626, 27, 284, 442, 26611, 30, 1542, 30, 8482, 2265, 334, 665, 617, 5522, 81, 6631, 37881, 26, 784, 30, 636, 30, 8482, 2265, 711, 284, 4438, 280, 26114, 32, 371, 81, 6631, 20455, 81, 2665, 2740, 6800, 2265, 32, 371, 81, 1693, 81, 24897, 1157, 284, 442, 4438, 77, 426, 79, 334, 665, 1201, 1076, 24319, 26, 784, 30, 26611, 30, 821, 1421, 711, 284, 821, 1421, 280, 3996, 81, 38759, 32, 2304, 81, 4213, 32, 7232, 26, 31427, 30, 6013, 47, 34, 27, 284, 630, 32, 5299, 26, 31427, 32, 5459, 32, 29704, 30, 225, 35, 27, 284, 630, 32, 5299, 26, 31427, 32, 11672, 32, 29704, 30, 225, 35, 27, 284, 630, 32, 5299, 26, 23626, 32, 5459, 32, 3229, 77, 34, 614, 821, 1421, 32, 5459, 32, 3229, 77, 34, 1130, 284, 630, 32, 5299, 26, 23626, 32, 11672, 32, 3229, 77, 34, 614, 821, 1421, 32, 11672, 32, 3229, 77, 34, 1130, 284, 2065, 32, 4266, 32, 862, 81, 35502, 26, 23626, 32, 96, 81, 1251, 30, 821, 1421, 32, 96, 81, 1251, 27, 284, 2065, 32, 4266, 32, 862, 81, 35502, 26, 23626, 32, 96, 81, 5854, 30, 821, 1421, 32, 96, 81, 5854, 27, 284, 2065, 32, 4266, 32, 862, 81, 35502, 26, 23626, 32, 2714, 483, 30, 821, 1421, 32, 2714, 483, 27, 284, 2065, 32, 4266, 32, 862, 81, 35502, 26, 23626, 32, 268, 2865, 483, 30, 821, 1421, 32, 268, 2865, 483, 27, 334, 477, 5609, 1191, 32, 5138, 2009, 397, 330, 6096, 370, 330, 19091, 370, 330, 10845, 19091, 31, 2135, 370, 330, 10845, 19091, 31, 464, 370, 330, 10845, 1612, 370, 397, 330, 30500, 10845, 26, 10845, 1612, 7243, 330, 1434, 25, 334, 8834, 334, 665, 894, 81, 4890, 26, 784, 30, 1411, 81, 426, 711, 284, 26611 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 4, 4, 4, 4, 2, 2, 0, 1, 1, 2, 2, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 9, 7, 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, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 6, 6, 8, 9, 9, 8, 9, 8, 8, 9, 8, 8, 9, 9, 8, 8, 9, 8, 8, 10, 11, 10, 12, 12, 12, 8, 10, 10, 8, 8, 10, 11, 11, 9, 10, 8, 8, 9, 8, 4, 4, 7, 8, 7, 4, 4, 5, 6, 6, 6, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 9, 8, 12, 12, 11, 12, 12, 12, 12, 12, 11, 4, 4, 5, 6, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 10, 10, 9, 10, 10, 10, 8, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 8, 9, 8, 7, 11, 10, 11, 9, 10, 8, 9, 8, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 8, 9, 8, 7, 11, 10, 11, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 8, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 8, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 9, 7, 7, 9, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 8, 9, 9, 9, 7, 2, 2, 7, 7, 6, 7, 6, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 7, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 1, 0, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 0, 1, 1, 0, 8, 8, 0, 0, 0, 0, 1, 1, 0, 9, 9, 1, 1, 2, 2, 0, 10, 10, 0, 11, 11, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 11, 11, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 13, 2, 1, 1, 15, 1, 4, 4, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 3, 2, 3, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 3, 2, 3, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 3, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1 ]
[ 1070, 1202, 10498, 2393, 35, 1188, 14735, 619, 24322, 3893, 203, 1070, 1202, 10498, 2393, 35, 1188, 7742, 619, 831, 9543, 4421, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 465, 18792, 203, 1070, 7683, 12752, 32, 2282, 1188, 3756, 203, 1070, 7683, 12752, 32, 2957, 1188, 45623, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 31732, 81, 11452, 26, 88, 711, 284, 477, 25931, 32, 4071, 101, 26, 88, 27, 284, 665, 7767, 2740, 1132, 30, 1115, 5321, 711, 291, 1596, 44, 324, 442, 296, 2740, 1132, 30, 1115, 5321, 27, 291, 2940, 24322, 3893, 32, 6694, 5965, 44, 324, 2719, 81, 681, 280, 10306, 32, 371, 463, 2122, 81, 681, 370, 330, 30149, 23176, 683, 324, 6998, 81, 681, 280, 10306, 32, 371, 463, 7986, 81, 681, 370, 330, 3259, 683, 324, 3636, 3756, 32, 12783, 5965, 26, 400, 2719, 81, 681, 47, 2122, 81, 681, 30, 6998, 81, 681, 47, 7986, 81, 681, 27, 291, 2940, 308, 3795, 3893, 32, 21585, 30, 24322, 3893, 32, 8466, 7961, 711, 324, 3636, 3756, 32, 19223, 738, 658, 21585, 346, 291, 2940, 308, 3795, 3893, 32, 2023, 19149, 4152, 30, 400, 24322, 3893, 32, 9085, 5413, 2031, 27, 619, 484, 44, 324, 3636, 3756, 32, 1063, 3817, 26, 25931, 32, 878, 81, 681, 26, 87, 490, 291, 2940, 3268, 619, 484, 44, 324, 5776, 32, 3893, 463, 19223, 738, 658, 1326, 3803, 44, 18147, 2076, 27, 101, 370, 3775, 5053, 2076, 950, 18792, 32, 878, 81, 681, 26, 87, 25952, 324, 3636, 3756, 32, 19223, 738, 658, 7961, 26, 25931, 32, 878, 81, 681, 26, 87, 490, 284, 442, 7767, 203, 50, 5505, 81, 11452, 203, 589, 622, 81, 2848, 26, 1363, 30, 1115, 2848, 81, 5321, 711, 284, 442, 831, 9543, 4421, 32, 944, 81, 2848, 81, 1070, 81, 2957, 81, 2184, 26, 291, 45623, 30, 2350, 30, 1115, 2848, 81, 5321, 27, 203, 50, 5505, 81, 11452, 203, 589, 622, 81, 2393, 26, 1363, 30, 1115, 2393, 81, 5321, 711, 284, 1596, 44, 291, 3796, 280, 831, 9543, 4421, 32, 944, 81, 2393, 81, 1070, 81, 2957, 81, 2184, 26, 14594, 30, 2350, 30, 20054, 1115, 2393, 81, 5321, 27, 284, 2940, 24322, 3893, 32, 9085, 5413, 2031, 44, 291, 5776, 32, 731, 463, 5288, 372, 2454, 3796, 3973, 645, 2350, 904, 101, 370, 2350, 27, 291, 3636, 284, 442, 3796, 203, 50, 5505, 81, 11452, 203, 589, 622, 81, 2122, 81, 965, 26, 2848, 30, 1115, 5321, 711, 284, 415, 330, 3337, 25, 328, 10306, 44, 291, 442, 3523, 32, 371, 81, 7986, 14605, 5321, 27, 284, 1596, 44, 291, 442, 3523, 32, 371, 81, 7986, 26, 3337, 1057, 3259, 370, 1115, 5321, 27, 284, 2940, 24322, 3893, 32, 6694, 5965, 44, 291, 442, 3523, 32, 371, 81, 7986, 26, 3337, 1057, 923, 370, 1115, 5321, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 3, 1, 1, 2, 2, 3, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 7, 6, 7, 7, 6, 7, 6, 3, 3, 4, 5, 7, 5, 5, 7, 5, 4, 4, 6, 6, 6, 8, 10, 12, 10, 10, 12, 10, 6, 6, 7, 9, 8, 9, 9, 7, 7, 7, 11, 11, 10, 10, 12, 13, 12, 14, 14, 14, 14, 12, 14, 14, 14, 8, 8, 11, 11, 10, 10, 12, 13, 12, 14, 14, 14, 14, 12, 14, 14, 8, 8, 9, 11, 12, 12, 11, 11, 11, 13, 13, 12, 13, 13, 13, 11, 11, 13, 13, 12, 13, 13, 13, 11, 6, 6, 7, 10, 10, 9, 10, 8, 8, 10, 9, 10, 10, 8, 7, 7, 9, 11, 12, 12, 12, 12, 11, 6, 6, 7, 11, 11, 10, 11, 11, 11, 9, 9, 9, 11, 10, 11, 11, 11, 9, 8, 8, 7, 7, 7, 9, 11, 12, 12, 11, 14, 13, 14, 14, 14, 13, 14, 13, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 15, 15, 13, 15, 16, 16, 16, 15, 16, 15, 8, 8, 9, 11, 12, 12, 12, 12, 11, 14, 13, 14, 14, 14, 13, 14, 13, 2, 2, 3, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 3, 5, 5, 5, 3, 2, 2, 4, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 6, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 3, 5, 5, 5, 3, 2, 2, 4, 4, 4, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 9, 9, 11, 11, 11, 9, 4, 4, 5, 7, 6, 7, 7, 7, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 6, 6, 3, 3, 4, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 5, 3, 2, 2, 4, 7, 7, 5, 5, 4, 4, 4, 6, 8, 9, 9, 9, 8, 10, 8, 3, 3, 4, 4, 4, 6, 8, 9, 9, 9, 8, 10, 9, 11, 11, 8, 10, 8, 4, 4, 5, 7, 6, 7, 7, 5, 5, 5, 7, 9, 10, 10, 10, 9, 11, 10, 12, 12, 9, 11, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 0, 1, 1, 0, 0, 0, 1, 1, 3, 3, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 1, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 0, 0, 4, 0, 0, 1, 2, 1, 1, 0, 3, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 1, 0, 0, 5, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 3, 2, 2, 2, 0, 1, 1, 5, 5, 5, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 6, 1, 1, 6, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 8, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 9, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 1, 2, 2, 2, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 4, 4, 1, 0, 0, 1, 1, 1, 10, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 3, 0, 1, 2, 2, 3, 3, 3, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 316, 203, 465, 17673, 203, 465, 1044, 479, 203, 823, 1884, 655, 590, 924, 26, 984, 711, 334, 3097, 203, 589, 617, 25132, 81, 380, 655, 510, 81, 878, 928, 26, 928, 711, 334, 8001, 280, 1149, 26, 268, 32, 1809, 1731, 26, 100, 7646, 77, 2009, 14747, 3212, 40935, 729, 41727, 1178, 3730, 392, 1628, 490, 334, 415, 8001, 44, 284, 1056, 280, 1605, 284, 415, 8001, 77, 34, 997, 1366, 26, 34, 711, 397, 1056, 32, 1689, 1162, 2521, 30, 1628, 2867, 8933, 77, 34, 997, 1366, 26, 34, 45917, 284, 436, 2530, 328, 8001, 44, 397, 1056, 32, 1689, 26, 2872, 32, 6332, 1157, 284, 442, 1056, 334, 442, 10440, 2521, 30, 1628, 2177, 203, 589, 617, 380, 655, 510, 81, 928, 26, 928, 711, 334, 1628, 280, 1628, 32, 7201, 346, 334, 415, 646, 1628, 556, 1628, 32, 15990, 4120, 10280, 284, 442, 2884, 22, 2951, 392, 1665, 27, 334, 415, 1628, 32, 15990, 15062, 657, 461, 1628, 32, 20643, 440, 8474, 44, 284, 1202, 30, 15649, 81, 30919, 30, 786, 280, 1628, 77, 35, 5979, 35, 997, 11458, 17919, 657, 284, 442, 308, 678, 30, 786, 27, 334, 813, 44, 284, 442, 2884, 22, 41087, 1316, 392, 617, 25132, 81, 380, 655, 510, 81, 878, 928, 26, 928, 490, 203, 589, 617, 2208, 81, 380, 655, 81, 7390, 26, 853, 711, 334, 2530, 280, 316, 32, 2872, 26, 284, 540, 7646, 101, 29, 12390, 66, 46, 426, 8828, 51, 31, 21948, 31, 108, 34, 31, 43, 25761, 21, 38131, 78, 101, 5667, 284, 540, 20, 12580, 1421, 78, 101, 29, 12390, 66, 46, 12580, 1421, 8828, 78, 86, 78, 101, 6155, 4731, 284, 540, 20, 88, 40082, 78, 101, 29, 12390, 66, 46, 88, 40082, 8828, 78, 86, 78, 101, 6155, 9501, 392, 284, 786, 27, 334, 415, 646, 2530, 44, 284, 3636, 1884, 655, 590, 924, 440, 828, 655, 5644, 11708, 3803, 392, 786, 27, 334, 13900, 1421, 280, 428, 410, 26, 88, 2094, 27, 436, 296, 2094, 328, 2530, 32, 1363, 463, 12580, 1421, 1814, 2998, 463, 11134, 415, 296, 2094, 79, 334, 415, 1346, 26, 88, 2094, 848, 1044, 479, 32, 3459, 81, 56, 8548, 436, 296, 2094, 328, 13900, 1421, 711, 284, 3636, 1884, 655, 590, 924, 440, 56, 23140, 21861, 904, 86, 2800, 1330, 2307, 4414, 1044, 479, 32, 3459, 81, 56, 8548, 27, 334, 442, 2530, 32, 1363, 463, 426, 1425, 8825, 26, 12580, 1421, 27, 203, 589, 617, 5954, 81, 4446, 81, 452, 81, 633, 81, 5459, 26, 4446, 30, 663, 42869, 30, 943, 81, 1028, 81, 1906, 81, 25165, 47, 22805, 334, 1056, 280, 1605, 334, 436, 1202, 30, 786, 328, 5430, 44, 284, 415, 1202, 328, 943, 81, 1028, 81, 1906, 81, 25165, 44, 397, 1626, 284, 4348, 1202, 610, 3941, 2951, 563, 397, 3097, 3701, 4348, 1202, 328, 2884, 22, 41087, 1316, 392, 313, 3647, 10280, 397, 415, 1202, 610, 3941, 41087, 1316, 563, 291, 1932, 81, 3565, 81, 1094, 280, 17673, 32, 1811, 26, 853, 27, 397, 4348, 1202, 610, 313, 3647, 563, 291, 1932 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 9, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 2, 2, 3, 3, 3, 3, 6, 6, 4, 4, 5, 8, 9, 8, 8, 7, 8, 7, 5, 5, 9, 10, 9, 11, 10, 10, 11, 16, 15, 16, 15, 15, 14, 15, 14, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 9, 12, 11, 12, 11, 4, 4, 5, 2, 2, 3, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 5, 4, 4, 6, 7, 6, 8, 3, 3, 5, 8, 8, 8, 6, 6, 2, 2, 3, 6, 7, 6, 8, 4, 4, 6, 7, 6, 8, 3, 3, 3, 7, 7, 8, 8, 7, 7, 6, 6, 9, 11, 10, 12, 9, 9, 8, 10, 4, 4, 5, 7, 6, 6, 6, 3, 3, 4, 4, 4, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 2, 2, 3, 4, 3, 3, 3, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 5, 4, 4, 7, 7, 8, 8, 7, 5, 6, 7, 6, 6, 10, 11, 10, 12, 12, 12, 9, 8, 10, 5, 6, 7, 5, 2, 2, 3, 5, 7, 7, 6, 6, 8, 7, 8, 8, 8, 8, 5, 6, 7, 6, 6, 7, 5, 3, 3, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 8, 9, 9, 9, 9, 7, 2, 2, 3, 6, 7, 6, 8, 8, 4, 6, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 4, 4, 4, 4, 4, 4, 3, 4, 1, 1, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 6, 7, 7, 9, 9, 6, 6, 5, 5, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 6, 6, 8, 9, 9, 11, 11, 11, 8, 8, 12, 12, 12, 12, 11, 11, 13, 14, 13, 14, 13, 8, 8, 9, 10, 10, 12, 12, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 3, 3, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 3, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 3, 3, 3, 4, 4, 2, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 1, 4, 4, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 4, 4, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 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, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 2, 4, 4, 3, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 2, 2, 1, 4, 4, 4, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 0, 0, 5, 2, 7, 7, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 2, 4, 4, 0, 0, 5, 1, 1, 1, 1, 1, 2, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 4, 1, 1, 1, 2, 4, 4 ]
[ 1070, 11073, 16297, 32, 3955, 1188, 308, 284, 5245, 30, 284, 10806, 30, 284, 15310, 30, 284, 41028, 30, 284, 19891, 30, 203, 27, 203, 1070, 13612, 843, 15381, 1188, 308, 284, 3725, 30, 284, 19660, 30, 284, 17868, 30, 284, 9035, 606, 30, 284, 9045, 2762, 7602, 203, 27, 203, 1070, 11073, 16297, 1188, 308, 284, 376, 101, 30, 284, 309, 37, 30, 284, 8821, 30, 284, 11040, 36, 30, 284, 343, 29216, 30, 284, 8668, 6589, 30, 203, 27, 203, 589, 1930, 81, 6656, 81, 43564, 81, 9849, 2740, 777, 6361, 3528, 711, 284, 442, 19891, 26, 291, 41028, 47, 14281, 463, 1183, 370, 18408, 3528, 471, 291, 19221, 47, 6668, 30, 291, 5245, 6020, 21437, 32, 4015, 2081, 4539, 1130, 203, 589, 1930, 81, 6656, 81, 43564, 81, 6038, 2740, 777, 6361, 3528, 711, 284, 442, 15310, 26, 291, 19891, 6020, 324, 1930, 81, 6656, 81, 43564, 81, 9849, 2740, 777, 6361, 3528, 14829, 203, 589, 343, 29216, 81, 2842, 26, 1274, 81, 426, 711, 284, 442, 330, 2842, 44, 3955, 44, 35071, 15380, 1274, 22298, 2473, 1643, 26, 1274, 81, 426, 27, 203, 589, 343, 29216, 81, 282, 2425, 26, 1274, 81, 4243, 711, 284, 442, 428, 35071, 81, 2842, 26, 1274, 81, 426, 27, 436, 1858, 81, 426, 328, 1858, 81, 4243, 79, 203, 589, 309, 37, 81, 2842, 26, 6452, 711, 284, 415, 6937, 26, 6452, 30, 9045, 2762, 7602, 711, 291, 442, 3725, 463, 2842, 44, 3955, 44, 101, 37, 15380, 1667, 9001, 10047, 27062, 47, 6452, 27, 284, 813, 44, 291, 442, 330, 2842, 44, 3955, 44, 101, 37, 403, 6069, 101, 25, 904, 8105, 203, 589, 309, 37, 81, 5740, 81, 2842, 26, 6452, 30, 4844, 347, 28, 10280, 284, 415, 6937, 26, 6452, 30, 9045, 2762, 7602, 711, 291, 442, 3725, 463, 2842, 44, 3955, 44, 101, 37, 15380, 1667, 9001, 3188, 23, 101, 25, 904, 4844, 30, 27062, 47, 6452, 27, 284, 813, 44, 291, 442, 330, 2842, 44, 3955, 44, 101, 37, 403, 6069, 101, 9708, 101, 25, 904, 308, 6452, 30, 4844, 27, 203, 589, 1491, 81, 2585, 81, 101, 37, 81, 6452, 81, 6038, 81, 23142, 26, 24616, 30, 4844, 347, 28, 10280, 284, 1149, 81, 24616, 280, 428, 101, 37, 81, 2842, 26, 84, 27, 436, 323, 328, 24840, 79, 284, 1300, 81, 24616, 280, 428, 101, 37, 81, 5740, 81, 2842, 26, 84, 30, 4844, 27, 436, 323, 328, 24840, 79, 284, 8105, 81, 5379, 280, 1149, 81, 24616, 474, 1300, 81, 24616, 284, 442, 428, 291, 19891, 26, 324, 19221, 47, 6668, 30, 324, 6287, 6020, 101, 37, 81, 2842, 21489, 657, 614, 324, 5245, 6020, 101, 37, 32, 720, 1934, 3758, 34015, 79, 291, 2588, 291, 19891, 26, 324, 19221, 47, 6668, 30, 324, 6287, 47, 6452, 81, 5379, 30, 324, 5245, 6020, 1711, 463, 101, 37, 370, 330, 936, 28, 1425, 5245, 463, 101, 37, 370, 330, 720, 28, 12357, 291, 829, 284, 1481, 203, 589, 1491, 81, 2585, 81, 101, 37, 81, 6452, 81, 6038, 26, 24616, 711, 284, 442, 15310, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 2, 1, 1, 3, 5, 5, 5, 6, 8, 8, 10, 10, 8, 9, 8, 5, 5, 6, 7, 5, 5, 5, 6, 9, 8, 9, 9, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 2, 1, 1, 3, 5, 5, 5, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 9, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 6, 6, 6, 6, 7, 7, 7, 6, 4, 5, 6, 6, 5, 5, 6, 6, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 6, 6, 5, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 3, 3, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 5, 5, 1, 1, 3, 5, 6, 5, 5, 6, 6, 5, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 8, 9, 7, 3, 3, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 5, 5, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 7, 8, 7, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 6, 6, 2, 2, 3, 4, 4, 6, 6, 6, 7, 8, 6, 6, 6, 7, 10, 10, 10, 10, 10, 12, 8, 6, 6, 7, 10, 10, 9, 10, 10, 10, 10, 8, 6, 6, 4, 4, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 10, 10, 12, 12, 12, 10, 12, 12, 12, 8, 10, 12, 12, 12, 10, 12, 12, 12, 6, 6, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 3, 1, 1, 1, 3, 2, 1, 1, 1, 5, 0, 1, 2, 2, 2, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 8, 8, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 2, 8, 8, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 2, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 0, 0, 0, 0, 1, 2, 2, 1, 1, 5, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1 ]
[ 465, 6436, 619, 2065, 203, 465, 11297, 4485, 37, 86, 32, 16447, 203, 1070, 8181, 81, 35278, 32, 16447, 1188, 447, 16946, 37, 86, 6052, 203, 1070, 8181, 81, 35278, 32, 8732, 1188, 19072, 30, 9975, 5135, 30, 27327, 6353, 8024, 5135, 203, 1070, 8181, 81, 35278, 32, 2304, 32, 1163, 1188, 3383, 959, 203, 823, 7155, 18858, 66, 16946, 37, 86, 6052, 26, 5702, 4485, 37, 86, 32, 16447, 32, 5291, 18858, 66, 16946, 37, 86, 6052, 30, 447, 16946, 37, 86, 6052, 711, 284, 665, 617, 371, 81, 1163, 26, 784, 711, 291, 1359, 280, 2599, 26, 5291, 18858, 66, 16946, 37, 86, 6052, 30, 630, 42690, 371, 81, 1163, 346, 291, 6346, 81, 1141, 81, 1166, 280, 630, 32, 3718, 81, 1141, 81, 1166, 291, 415, 646, 6937, 26, 3718, 81, 1141, 81, 1166, 30, 3383, 959, 711, 324, 6346, 81, 1141, 81, 1166, 280, 19072, 32, 1297, 26, 3718, 81, 1141, 81, 1166, 27, 291, 1359, 32, 1877, 14178, 1141, 81, 1166, 950, 630, 32, 1141, 81, 1166, 30, 5556, 330, 12601, 81, 4243, 950, 630, 32, 12601, 81, 4243, 30, 5556, 330, 8996, 81, 891, 950, 630, 32, 8996, 81, 891, 30, 5556, 330, 8996, 81, 90, 579, 104, 950, 630, 32, 8996, 81, 90, 579, 104, 30, 5556, 330, 2881, 950, 630, 32, 2881, 32, 25880, 1026, 5556, 330, 3718, 81, 2121, 81, 823, 950, 630, 32, 3718, 81, 2121, 81, 823, 30, 5556, 330, 3718, 81, 1141, 81, 1166, 950, 6346, 81, 1141, 81, 1166, 30, 5556, 330, 3718, 81, 1160, 81, 4243, 950, 630, 32, 3718, 81, 1160, 81, 4243, 1748, 291, 442, 1359, 203, 823, 6431, 37, 86, 5291, 18858, 66, 16946, 37, 86, 6052, 26, 5291, 18858, 66, 16946, 37, 86, 6052, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2125, 81, 1166, 30, 1115, 5321, 711, 291, 2599, 26, 1943, 37, 86, 5291, 18858, 66, 16946, 37, 86, 6052, 30, 630, 14585, 1664, 3207, 1141, 81, 1166, 30, 1115, 5321, 27, 291, 630, 1114, 28440, 81, 1166, 32, 8732, 710, 966, 785, 280, 9975, 5135, 3736, 2356, 32, 5267, 30, 2065, 32, 5267, 30, 6024, 4310, 37, 33702, 284, 665, 23980, 26, 784, 711, 291, 15337, 280, 2599, 26, 1943, 37, 86, 5291, 18858, 66, 16946, 37, 86, 6052, 30, 630, 547, 24283, 346, 291, 15337, 710, 966, 785, 280, 2065, 32, 955, 26, 784, 32, 3718, 81, 1251, 32, 371, 4859, 26, 784, 32, 8996, 81, 1251, 547, 371, 2996, 1157, 291, 442, 15337, 203, 589, 2575, 2262, 284, 1188, 2322, 284, 1188, 6436, 619, 2065, 284, 645, 298, 16946, 37, 86, 32, 1262, 1188, 2454, 66, 899, 974, 284, 1201, 313, 53, 2917, 19103, 37, 54, 81, 3197, 20, 328, 2322, 32, 12757, 284, 2454, 66, 899, 974, 26, 500, 32, 983, 32, 8931, 6862, 463, 1667, 53, 2917, 19103, 37, 54, 81, 3197, 3188, 1163, 32, 33417, 2847, 284, 2125, 81, 1166, 280, 27327, 6353, 8024, 5135, 26, 2356, 32, 955, 37309, 36, 34, 30, 429, 35, 34, 30, 429, 35, 34, 30, 429, 35, 32, 39, 41 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 7, 8, 8, 8, 8, 8, 4, 4, 5, 6, 8, 9, 9, 9, 9, 9, 8, 8, 9, 8, 5, 5, 9, 9, 9, 9, 8, 8, 10, 11, 10, 11, 11, 11, 11, 11, 10, 4, 4, 7, 8, 7, 11, 11, 11, 11, 9, 10, 11, 11, 11, 8, 8, 8, 11, 11, 11, 11, 9, 10, 11, 11, 11, 8, 8, 8, 11, 11, 11, 11, 9, 10, 11, 11, 11, 8, 8, 8, 11, 11, 11, 11, 11, 11, 9, 10, 11, 11, 11, 11, 11, 8, 8, 8, 11, 11, 9, 12, 13, 11, 12, 11, 8, 8, 11, 11, 11, 11, 11, 11, 9, 10, 11, 11, 11, 11, 11, 8, 8, 8, 11, 11, 11, 11, 11, 11, 9, 10, 10, 10, 10, 8, 8, 8, 11, 11, 11, 11, 11, 11, 9, 10, 11, 11, 11, 11, 11, 8, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 9, 7, 4, 4, 9, 10, 10, 10, 8, 9, 7, 9, 9, 6, 6, 8, 8, 11, 10, 11, 8, 8, 9, 10, 8, 8, 9, 11, 10, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 9, 8, 4, 4, 7, 9, 9, 6, 6, 8, 9, 8, 14, 13, 14, 14, 14, 12, 13, 13, 12, 14, 13, 14, 14, 14, 12, 11, 11, 10, 4, 4, 5, 0, 1, 1, 2, 1, 1, 3, 2, 2, 3, 4, 4, 2, 2, 3, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 2, 2, 5, 5, 5, 5, 9, 8, 9, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 9, 8, 9, 8, 11, 11, 9, 9, 11, 11, 9, 9, 11, 11, 9, 9, 11, 11, 11, 11 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 5, 5, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 9, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 4, 4, 2, 0, 7, 7, 2, 7, 7, 0, 4, 4, 1, 1, 1, 4, 4, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 22113, 1188, 447, 30, 14911, 30, 399, 30, 6700, 788, 203, 823, 6012, 81, 9131, 26, 447, 8063, 334, 665, 1156, 1664, 3207, 630, 30, 1938, 81, 983, 30, 11067, 81, 1094, 81, 998, 30, 3380, 81, 1094, 81, 998, 30, 1477, 30, 3946, 81, 462, 81, 1637, 30, 442, 81, 878, 280, 1665, 8063, 284, 415, 1477, 438, 1665, 556, 3946, 81, 462, 81, 1637, 438, 1665, 44, 397, 447, 3667, 1664, 3207, 630, 829, 397, 442, 284, 415, 11067, 81, 1094, 81, 998, 610, 225, 35, 461, 11067, 81, 1094, 81, 998, 333, 3380, 81, 1094, 81, 998, 44, 397, 415, 646, 442, 81, 878, 44, 291, 447, 3667, 1664, 3207, 630, 829, 291, 442, 397, 447, 3667, 1664, 3207, 291, 630, 30, 291, 14911, 26, 616, 399, 26, 324, 442, 81, 878, 30, 324, 976, 280, 5461, 101, 20, 904, 1938, 81, 983, 30, 616, 2588, 291, 2588, 397, 829, 397, 442, 284, 415, 1477, 610, 225, 34, 461, 3946, 81, 462, 81, 1637, 2377, 3380, 81, 1094, 81, 998, 44, 397, 447, 3667, 1664, 3207, 630, 829, 397, 442, 284, 447, 3667, 1664, 3207, 397, 630, 30, 397, 308, 1477, 848, 225, 34, 829, 461, 14911, 26, 291, 399, 26, 616, 1044, 20, 8884, 392, 616, 976, 280, 630, 32, 6928, 26, 1938, 81, 983, 30, 1769, 26, 1477, 429, 3946, 81, 462, 81, 1637, 30, 225, 34, 2588, 3946, 81, 462, 81, 1637, 2588, 291, 2588, 291, 1044, 20, 523, 3003, 397, 829, 556, 1665, 30, 397, 428, 14911, 26, 291, 308, 1477, 610, 1938, 81, 1366, 829, 461, 6700, 788, 26, 15390, 26, 1938, 81, 2171, 474, 225, 35, 829, 829, 556, 399, 26, 616, 6700, 788, 26, 15390, 26, 1938, 81, 2171, 474, 225, 35, 829, 2588, 616, 976, 280, 630, 32, 6928, 26, 1938, 81, 983, 30, 1938, 81, 1366, 30, 3946, 81, 462, 81, 1637, 2588, 291, 2588, 397, 829, 436, 308, 1938, 81, 2171, 30, 1938, 81, 1366, 829, 328, 10703, 26, 2155, 26, 225, 34, 30, 3380, 81, 1094, 81, 998, 30, 3946, 81, 462, 81, 1637, 829, 829, 2505, 397, 308, 1477, 474, 3946, 81, 462, 81, 1637, 333, 3380, 81, 1094, 81, 998, 829, 461, 14911, 26, 291, 1044, 20, 523, 3003, 291, 399, 26, 616, 1044, 20, 1978, 392, 616, 976, 280, 630, 32, 6928, 26, 1938, 81, 983, 30, 1847, 26, 1477, 474, 3946, 81, 462, 81, 1637, 30, 3380, 81, 1094, 81, 998, 429, 225, 35, 2588, 3946, 81, 462, 81, 1637, 2588, 291, 2588, 397, 829, 556, 1665, 30, 284, 829, 334, 477, 16099, 334, 665, 976, 26, 1938, 81, 983, 30, 1477, 30, 2385, 8063, 284, 415, 1477, 610, 225, 34, 44, 397, 442, 1938, 81, 983, 284, 442, 1044, 15860, 101, 49, 1366, 6132, 86, 24, 998, 6132, 86, 20, 904, 308, 1938, 81, 983, 30, 1477, 30, 2385, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 4, 3, 3, 5, 7, 7, 6, 6, 8, 8, 8, 8, 7, 7, 5, 5, 5, 9, 10, 10, 9, 9, 6, 6, 4, 4, 5, 8, 8, 8, 8, 7, 7, 8, 6, 6, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 5, 5, 5, 7, 8, 9, 9, 7, 7, 7, 11, 12, 12, 11, 11, 8, 8, 6, 6, 9, 10, 10, 9, 9, 9, 9, 9, 11, 11, 11, 13, 13, 13, 14, 14, 13, 13, 13, 14, 14, 17, 17, 15, 15, 16, 16, 13, 13, 13, 11, 11, 9, 9, 6, 6, 4, 4, 5, 7, 7, 8, 6, 6, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 5, 5, 5, 9, 10, 10, 9, 9, 6, 6, 4, 4, 7, 8, 8, 7, 7, 7, 7, 7, 10, 11, 11, 12, 10, 9, 9, 11, 11, 11, 13, 13, 13, 15, 15, 15, 13, 13, 14, 14, 16, 17, 16, 16, 17, 17, 16, 16, 18, 18, 19, 19, 20, 20, 20, 20, 18, 18, 19, 18, 16, 17, 17, 17, 17, 16, 13, 13, 11, 11, 13, 13, 13, 11, 11, 8, 8, 7, 7, 7, 8, 10, 10, 10, 13, 14, 14, 15, 15, 13, 12, 12, 14, 14, 14, 16, 16, 18, 18, 17, 17, 18, 16, 14, 11, 11, 13, 13, 13, 15, 15, 15, 17, 17, 19, 19, 18, 18, 19, 17, 15, 13, 13, 14, 14, 16, 17, 16, 16, 17, 17, 16, 16, 17, 17, 16, 16, 17, 17, 17, 17, 16, 13, 13, 10, 10, 8, 9, 10, 11, 11, 10, 10, 11, 11, 10, 9, 9, 11, 11, 13, 13, 14, 13, 13, 14, 14, 14, 14, 13, 13, 14, 14, 14, 14, 13, 11, 8, 7, 7, 10, 12, 12, 13, 13, 13, 13, 11, 11, 12, 12, 12, 12, 10, 9, 9, 11, 11, 11, 13, 13, 13, 11, 11, 13, 13, 13, 15, 15, 15, 13, 13, 14, 14, 16, 17, 16, 16, 17, 17, 16, 16, 18, 18, 19, 19, 20, 20, 20, 20, 18, 18, 20, 20, 20, 20, 19, 19, 20, 18, 16, 17, 17, 17, 17, 16, 13, 13, 11, 11, 8, 8, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 6, 6, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 8, 6, 6, 6, 8, 9, 9, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 7, 7, 7, 7, 2, 2, 2, 2, 11, 11, 11, 11, 2, 2, 0, 0, 13, 13, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 3, 3, 4, 4, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 3, 3, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 3, 3, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 3, 1, 1, 5, 5, 5, 5, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 5, 5, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 5, 5, 1, 1, 5, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 3, 3, 2, 1, 1, 5, 5, 5, 5, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 16672, 203, 465, 2322, 203, 465, 43008, 203, 1070, 43008, 1188, 6833, 30, 14323, 30, 2629, 203, 465, 19571, 203, 465, 45999, 203, 1070, 45999, 32, 8732, 1188, 9975, 30, 3645, 10521, 203, 1070, 20211, 32, 3378, 1188, 3678, 203, 1070, 20211, 32, 8216, 1188, 4237, 30, 3717, 30141, 30, 46224, 36, 54, 30, 22901, 2472, 30, 46288, 30, 30843, 203, 1070, 20211, 32, 1473, 4119, 1188, 38845, 81, 10495, 20933, 203, 1070, 20211, 32, 8311, 9229, 1188, 36051, 203, 1070, 20211, 32, 2304, 1188, 2065, 81, 2304, 203, 465, 20211, 32, 7878, 619, 1224, 203, 465, 6436, 619, 2065, 203, 1070, 821, 2807, 81, 2304, 1188, 9500, 1191, 7326, 6052, 30, 4593, 2807, 721, 2757, 38, 36, 106, 38, 36, 6052, 203, 589, 1487, 81, 2121, 26, 2121, 81, 314, 711, 284, 4533, 280, 45999, 32, 2682, 26, 2121, 81, 314, 27, 284, 4533, 280, 9500, 1191, 7326, 6052, 26, 2121, 27, 284, 4533, 280, 4593, 2807, 721, 2757, 38, 36, 106, 38, 36, 6052, 26, 2121, 27, 284, 442, 4533, 203, 589, 1487, 81, 1160, 26, 2121, 30, 5254, 81, 891, 30, 1929, 81, 7439, 711, 284, 420, 280, 816, 280, 4237, 26, 4432, 81, 3229, 4310, 4432, 81, 891, 30, 1929, 81, 7439, 27, 474, 4533, 32, 28440, 81, 1166, 32, 3229, 30, 636, 347, 106, 657, 284, 399, 280, 4237, 26, 4432, 81, 3229, 4310, 4432, 81, 891, 30, 1929, 81, 7439, 471, 636, 347, 51, 657, 284, 420, 280, 3717, 30141, 26, 38670, 36, 54, 26, 37, 36, 30, 225, 37, 30, 225, 37, 30, 1361, 3287, 4310, 36, 30, 225, 36, 471, 3168, 81, 2816, 347, 8786, 392, 13226, 1057, 342, 103, 370, 4406, 81, 24576, 1057, 4213, 1425, 636, 1057, 85, 35, 24174, 90, 27, 284, 420, 280, 3717, 30141, 26, 38670, 36, 54, 26, 37, 36, 30, 225, 37, 30, 225, 37, 30, 1361, 3287, 4310, 36, 30, 225, 36, 471, 3168, 81, 2816, 347, 8786, 392, 13226, 1057, 342, 103, 370, 4406, 81, 24576, 1057, 4213, 1425, 636, 1057, 85, 36, 24174, 90, 27, 284, 420, 280, 3717, 30141, 26, 38670, 36, 54, 26, 37, 36, 30, 225, 37, 30, 225, 37, 30, 1361, 3287, 4310, 36, 30, 225, 36, 471, 3168, 81, 2816, 347, 8786, 392, 13226, 1057, 342, 103, 370, 4406, 81, 24576, 1057, 4213, 1425, 636, 1057, 85, 37, 24174, 90, 27, 284, 420, 280, 3717, 30141, 26, 38670, 36, 54, 26, 40, 38, 30, 225, 37, 30, 225, 37, 30, 1361, 3287, 4310, 36, 30, 225, 36, 471, 3168, 81, 2816, 347, 8786, 392, 13226, 1057, 342, 103, 370, 4406, 81, 24576, 1057, 4213, 1425, 636, 1057, 85, 38, 24174, 90, 27, 284, 420, 280, 3717, 30141, 26, 37975, 1026, 636, 347, 1306, 30929, 90, 27, 284, 420, 280, 46288, 26, 37, 36, 30, 442, 81, 23859, 47, 1815, 30, 1603, 2790, 47, 1815, 30, 636, 347, 100, 35, 30929, 90, 27, 284, 298, 280, 3717, 30141, 26, 20738, 26, 2121, 32, 1141, 81, 1166, 32, 96, 30, 13226, 1057, 28560, 1425, 636, 347, 98, 30929, 90, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 5, 5, 7, 9, 9, 9, 8, 11, 11, 11, 10, 10, 11, 11, 10, 9, 9, 11, 12, 12, 12, 10, 11, 7, 7, 8, 10, 10, 2, 2, 4, 4, 6, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 8, 6, 7, 9, 9, 2, 2, 4, 4, 7, 7, 9, 9, 9, 9, 10, 10, 9, 9, 10, 9, 9, 10, 9, 9, 11, 10, 12, 11, 11, 12, 11, 9, 11, 11, 10, 12, 12, 9, 10, 12, 12, 12, 9, 11, 11, 10, 12, 12, 7, 8, 10, 10, 10, 7, 6, 2, 2, 4, 4, 7, 7, 9, 9, 9, 9, 10, 10, 9, 9, 10, 9, 9, 10, 9, 9, 11, 10, 12, 11, 11, 12, 11, 9, 11, 11, 10, 12, 12, 9, 10, 12, 12, 12, 9, 11, 11, 10, 12, 12, 7, 8, 10, 10, 10, 7, 6, 2, 2, 4, 4, 7, 7, 9, 9, 9, 9, 10, 10, 9, 9, 10, 9, 9, 10, 9, 9, 11, 10, 12, 11, 11, 12, 11, 9, 11, 11, 10, 12, 12, 9, 10, 12, 12, 12, 9, 11, 11, 10, 12, 12, 7, 8, 10, 10, 10, 7, 6, 2, 2, 4, 4, 7, 7, 9, 9, 9, 9, 10, 10, 9, 9, 10, 9, 9, 10, 9, 9, 11, 10, 12, 11, 11, 12, 11, 9, 11, 11, 10, 12, 12, 9, 10, 12, 12, 12, 9, 11, 11, 10, 12, 12, 7, 8, 10, 10, 10, 7, 6, 2, 2, 4, 4, 7, 7, 9, 9, 7, 8, 10, 10, 7, 6, 2, 2, 4, 4, 7, 8, 8, 7, 7, 9, 9, 8, 9, 7, 7, 9, 8, 9, 7, 7, 8, 10, 10, 10, 7, 6, 2, 2, 4, 4, 7, 7, 9, 9, 12, 11, 12, 12, 12, 10, 11, 9, 9, 10, 12, 12, 7, 8, 10, 10, 7, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 2, 6, 6, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 9, 9, 1, 2, 2, 9, 9, 0, 0, 0, 0, 10, 10, 1, 2, 2, 10, 10, 0, 11, 11, 1, 2, 11, 11, 0, 0, 0, 12, 12, 0, 2, 1, 1, 0, 13, 13, 1, 1, 0, 14, 14, 0, 0, 0, 14, 14, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 1, 1, 2, 1, 1, 1, 2, 15, 15, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 0, 16, 16, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 16, 16, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 3, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 3, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 3, 1, 2, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 0, 7, 1, 2, 2, 3, 2, 1, 0, 0, 9, 1, 2, 1, 11, 1, 1, 2, 1, 0, 0, 13, 1, 2, 1, 3, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 0, 7, 1, 2, 2, 3, 2, 1, 0, 0, 9, 1, 2, 1, 11, 1, 1, 2, 1, 0, 0, 13, 1, 2, 1, 3, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 0, 7, 1, 2, 2, 3, 2, 1, 0, 0, 9, 1, 2, 1, 11, 1, 1, 2, 1, 0, 0, 13, 1, 2, 1, 3, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 0, 7, 1, 2, 2, 3, 2, 1, 0, 0, 9, 1, 2, 1, 11, 1, 1, 2, 1, 0, 0, 13, 1, 2, 1, 3, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 1, 0, 1, 1, 3, 1, 2, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 5, 2, 1, 1, 7, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1 ]
[ 1070, 13625, 1188, 636, 41766, 203, 1212, 280, 636, 41766, 463, 1212, 370, 330, 21648, 816, 81, 741, 533, 81, 741, 816, 81, 4363, 533, 81, 4363, 298, 5478, 683, 203, 589, 2179, 81, 426, 26, 101, 711, 284, 1201, 309, 77, 34, 79, 610, 32096, 284, 1201, 309, 6448, 35, 79, 610, 39691, 284, 442, 309, 77, 35, 5979, 35, 79, 203, 589, 2179, 81, 17857, 26, 5685, 711, 284, 5099, 280, 2179, 81, 426, 26, 5685, 27, 284, 816, 30, 533, 280, 5099, 32, 2998, 35052, 284, 442, 629, 26, 106, 471, 629, 26, 107, 27, 203, 589, 2290, 81, 1299, 81, 11250, 26, 88, 711, 284, 3706, 280, 1665, 284, 436, 484, 328, 296, 44, 291, 7937, 280, 484, 32, 7201, 922, 2998, 346, 291, 415, 646, 7937, 44, 324, 4036, 291, 4348, 7937, 77, 34, 1674, 34, 79, 610, 5307, 950, 324, 4036, 291, 4348, 7937, 77, 34, 79, 610, 330, 3575, 950, 324, 3706, 280, 2179, 81, 426, 26, 8395, 77, 36, 1130, 291, 4348, 484, 610, 2706, 96, 78, 96, 10562, 328, 2196, 4904, 1755, 30, 5215, 1591, 5042, 52, 9565, 78, 96, 78, 96, 563, 324, 4036, 291, 813, 44, 324, 415, 3706, 438, 646, 1665, 44, 400, 28853, 280, 629, 26, 8395, 77, 35, 1130, 400, 1201, 7937, 77, 36, 79, 610, 330, 8182, 25, 400, 816, 30, 533, 280, 2179, 81, 17857, 26, 8395, 77, 37, 1130, 400, 415, 7937, 77, 38, 79, 610, 330, 452, 950, 528, 816, 36, 30, 533, 36, 280, 2179, 81, 17857, 26, 8395, 77, 39, 1130, 528, 3401, 280, 225, 36, 400, 813, 44, 528, 816, 36, 30, 533, 36, 280, 816, 30, 533, 528, 3401, 280, 225, 34, 400, 298, 5478, 280, 629, 26, 8395, 77, 39, 474, 3401, 1130, 400, 6761, 3706, 30, 4004, 26, 21648, 30, 816, 30, 533, 30, 816, 36, 30, 533, 36, 30, 298, 5478, 27, 400, 3706, 280, 1665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 3, 0, 3, 2, 2, 4, 4, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 4, 4, 2, 2, 3, 5, 7, 5, 4, 4, 2, 2, 3, 4, 6, 5, 7, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 6, 7, 6, 4, 6, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 10, 11, 10, 9, 8, 4, 4, 5, 6, 5, 5, 5, 5, 5, 6, 9, 10, 9, 9, 8, 7, 7, 9, 6, 6, 5, 5, 6, 8, 9, 8, 7, 7, 9, 9, 6, 6, 9, 9, 11, 11, 11, 13, 12, 13, 12, 5, 5, 6, 7, 7, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 9, 6, 6, 5, 5, 6, 6, 6, 8, 9, 9, 9, 8, 8, 8, 11, 11, 13, 15, 14, 15, 14, 9, 9, 10, 12, 13, 12, 11, 11, 13, 13, 9, 9, 12, 12, 11, 11, 13, 13, 13, 15, 14, 15, 14, 9, 9, 10, 12, 13, 12, 11, 11, 13, 13, 10, 10, 15, 14, 14, 15, 13, 13, 15, 15, 15, 17, 16, 17, 16, 11, 11, 13, 13, 14, 10, 10, 11, 11, 11, 16, 15, 15, 16, 14, 14, 15, 15, 12, 12, 14, 14, 15, 9, 9, 12, 11, 11, 13, 15, 14, 16, 15, 15, 14, 9, 9, 11, 12, 12, 14, 15, 14, 14, 14, 14, 14, 14, 15, 14, 14, 15, 14, 14, 15, 14, 9, 9, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 4, 4, 1, 0, 1, 0, 1, 1, 4, 4, 2, 1, 0, 2, 1, 1, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 1, 2, 4, 4, 1, 1, 5, 0, 2, 0, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 6, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 6, 6, 1, 1, 7, 7, 7, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 1, 0, 2, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 3, 0, 2, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 3, 3, 4, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 3, 3, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 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 ]
[ 465, 13092, 203, 1070, 15798, 32, 3613, 1188, 7841, 203, 1070, 46096, 9751, 1188, 622, 81, 496, 81, 2225, 81, 24475, 81, 2501, 30, 622, 81, 3142, 81, 2225, 81, 24475, 81, 2501, 9841, 284, 1974, 81, 496, 81, 2225, 81, 24475, 81, 2501, 30, 1974, 81, 3142, 81, 2225, 81, 24475, 81, 2501, 203, 2554, 81, 3307, 280, 313, 2554, 3307, 20, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 973, 96, 2262, 284, 442, 330, 6449, 496, 50, 41190, 9751, 32, 716, 25, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 1695, 81, 965, 2262, 284, 442, 330, 641, 555, 858, 32, 508, 25, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 4096, 2262, 284, 442, 330, 25172, 50, 41190, 9751, 32, 508, 25, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 5880, 2262, 284, 442, 330, 41190, 9751, 32, 716, 25, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 4125, 81, 678, 2262, 284, 442, 330, 2554, 3307, 25, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 19902, 2262, 284, 442, 5053, 24475, 81, 426, 950, 330, 6891, 81, 24475, 370, 330, 24791, 950, 330, 9979, 370, 330, 1327, 81, 979, 950, 225, 35, 30, 330, 2310, 950, 330, 27349, 8328, 2406, 8790, 6040, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 2869, 81, 426, 2262, 284, 442, 330, 2141, 287, 4423, 31, 35, 25, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 6658, 81, 1986, 2262, 284, 442, 330, 2023, 2080, 1789, 25, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 2080, 81, 1877, 81, 1986, 2262, 284, 442, 3447, 1267, 563, 313, 6368, 7504, 19, 3612, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 2080, 81, 371, 81, 24475, 81, 1986, 2262, 284, 442, 3447, 24475, 563, 313, 11994, 392, 313, 268, 12967, 563, 3037, 4049, 7152, 23192, 392, 313, 27349, 8328, 2406, 8790, 34866, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 2080, 81, 371, 81, 417, 96, 81, 1986, 26, 417, 96, 711, 284, 442, 3447, 496, 81, 24371, 81, 426, 563, 973, 96, 111, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 20781, 81, 3524, 2262, 284, 442, 330, 6449, 496, 25, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 2043, 26, 1439, 81, 965, 711, 284, 645, 46096, 9751, 1188, 5675, 284, 442, 5675, 26, 1439, 81, 965, 47, 1439, 81, 965, 30, 6144, 47, 2700, 27, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 19902, 81, 1132, 26, 24475, 711, 284, 442, 5053, 24475, 81, 426, 950, 330, 6891, 81, 24475, 370, 330, 24791, 950, 330, 9979, 370, 330, 1327, 81, 979, 950, 225, 35, 30, 330, 2310, 950, 330, 27349, 8328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 2, 2, 4, 6, 6, 6, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 2, 2, 4, 6, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 2, 2, 4, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 8, 8, 6, 8, 8, 5, 8, 8, 8, 8, 6, 7, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 4, 8, 8, 6, 8, 8, 8, 8, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 8, 8, 6, 8, 8, 5, 8, 8, 8, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 4, 8, 8, 8, 8, 8, 8, 6, 7, 5, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 2, 2, 4, 6, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 4, 4, 4, 3, 2, 2, 4, 6, 4, 4, 3, 3, 4, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 8, 6, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 4, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 8, 8, 6, 8, 8, 5, 8, 8, 8, 8, 6, 7, 5, 5, 8, 8, 6, 8, 8 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 4, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 5, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 6, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 7, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 8, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 9, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 1, 1, 2, 7, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 10, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 11, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 12, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 15, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 16, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 17, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 2, 5, 2, 1, 1, 1, 2, 7, 1, 1 ]
[ 1277, 765, 203, 1070, 7683, 12752, 1580, 32, 2282, 1188, 1695, 203, 1070, 7683, 12752, 1580, 32, 2282, 32, 91, 35, 42, 96, 1188, 617, 203, 1070, 7683, 12752, 1580, 32, 2282, 1188, 8745, 203, 1070, 7683, 12752, 1580, 1188, 13489, 203, 823, 1884, 29437, 26, 1439, 32, 2291, 711, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 3778, 828, 29437, 904, 101, 5844, 904, 630, 1114, 1338, 203, 823, 1884, 29437, 1572, 26, 1439, 32, 1922, 1572, 711, 284, 2869, 81, 823, 280, 1884, 29437, 284, 617, 3142, 81, 426, 280, 330, 380, 29437, 25, 284, 617, 16777, 81, 5843, 280, 2107, 2310, 370, 330, 7615, 370, 330, 6572, 785, 284, 665, 1149, 26, 784, 30, 10029, 47, 2521, 30, 2723, 47, 2521, 30, 3844, 81, 678, 47, 2521, 30, 1802, 3844, 81, 1515, 47, 2521, 30, 9355, 47, 2700, 30, 3829, 47, 2521, 711, 291, 313, 351, 415, 2723, 438, 646, 1665, 44, 324, 2723, 280, 629, 26, 3248, 27, 291, 415, 9355, 461, 3829, 44, 324, 3636, 13489, 32, 3817, 2212, 41648, 4445, 1330, 5630, 312, 17272, 432, 3829, 313, 11244, 313, 1793, 330, 5110, 25, 739, 2131, 291, 10582, 280, 8745, 32, 2282, 81, 9211, 26, 8539, 30, 2723, 30, 3844, 81, 678, 30, 3844, 81, 1515, 30, 10000, 3829, 27, 291, 1519, 280, 4247, 291, 415, 9355, 44, 324, 1519, 1454, 330, 5110, 25, 291, 415, 10582, 44, 324, 1519, 1454, 330, 19067, 474, 15441, 2473, 2524, 26, 9211, 27, 291, 415, 2723, 438, 1665, 44, 324, 442, 630, 1114, 668, 26, 784, 1114, 983, 26, 983, 471, 313, 380, 29437, 657, 291, 813, 44, 324, 442, 630, 1114, 668, 81, 13253, 26, 784, 1114, 983, 26, 983, 471, 313, 380, 29437, 392, 11244, 2723, 47, 3248, 27, 284, 665, 1149, 81, 5459, 26, 784, 30, 663, 29437, 81, 314, 30, 10029, 47, 2521, 30, 2723, 47, 2521, 30, 4511, 3844, 81, 678, 47, 2521, 30, 3844, 81, 1515, 47, 2521, 30, 9355, 47, 2700, 30, 3829, 47, 2521, 30, 4511, 5746, 47, 2521, 30, 24514, 47, 2521, 30, 24062, 81, 1293, 47, 2521, 711, 291, 313, 351, 415, 2723, 438, 646, 1665, 44, 324, 2723, 280, 629, 26, 3248, 27, 291, 415, 9355, 461, 3829, 44, 324, 3636, 13489, 32, 3817, 2212, 41648, 4445, 1330, 5630, 312, 17272, 432, 3829, 313, 11244, 313, 1793, 330, 5110, 25, 739, 2131, 291, 10582, 280, 8745, 32, 2282, 81, 9211, 26, 8539, 30, 2723, 30, 3844, 81, 678, 30, 3844, 81, 1515, 30, 10000, 3829, 27, 291, 415, 5746, 438, 646, 1665, 44, 324, 10582, 32, 1689, 463, 35452, 6132, 101, 25, 904, 5746, 27, 291, 415, 24514, 438, 646, 1665, 44, 324, 10582, 32, 1689, 463, 31277, 6132, 101, 25, 904, 24514, 27, 291, 415, 24062, 81, 1293, 438, 646, 1665, 44, 324, 10582, 32, 1689, 463, 23221, 81, 1293, 6132, 101, 25, 904, 24062, 81, 1293, 27, 291, 1519, 280, 5461, 101, 33, 5459, 20, 904, 663, 29437, 81, 314, 291, 415, 9355, 44, 324, 1519, 1454, 3056, 5110, 25, 291, 415, 10582, 44, 324, 1519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 6, 6, 7, 8, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 3, 3, 5, 6, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 10, 10, 9, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 8, 8, 10, 10, 4, 4, 5, 5, 5, 5, 8, 8, 11, 9, 9, 13, 12, 11, 12, 11, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 10, 9, 12, 11, 12, 11, 12, 11, 9, 11, 11, 11, 5, 5, 6, 6, 6, 8, 10, 11, 11, 11, 10, 13, 12, 13, 12, 13, 12, 10, 12, 12, 12, 10, 10, 11, 12, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 3, 3, 5, 6, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 10, 10, 9, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 10, 10, 9, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 10, 10, 9, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 4, 4, 6, 6, 9, 9, 9, 9, 7, 7, 8, 8, 8, 4, 4, 5, 5, 5, 5, 8, 8, 10, 10, 4, 4, 5, 5, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 4, 4, 4, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 1, 2, 0, 1, 2, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 3, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 3, 3, 3, 3, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 1, 1, 5, 5, 0, 0, 5, 5, 4, 4, 4, 4, 0, 0, 1, 2, 5, 5, 5, 5, 5, 5, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 5, 5, 6, 1, 1, 6, 6, 6, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 6, 6, 4, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 2, 2, 17, 2, 2, 2, 19, 2, 2, 2, 0, 0, 21, 2, 2, 4, 4, 4, 4, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 1, 1, 5, 5, 3, 1, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 4, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 5, 0, 0, 1, 1, 1, 5, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 5, 5, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 7, 7, 7, 7, 0, 0, 1, 2, 5, 5, 8, 8, 8, 8 ]
[ 1070, 8527, 32, 12023, 1188, 5218, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 1199, 1188, 6141, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 9618, 203, 1070, 8527, 32, 36287, 1188, 5668, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 3980, 13646, 32, 2300, 32, 4338, 1188, 10140, 203, 1070, 2417, 8538, 1188, 7422, 27387, 1241, 203, 1070, 2417, 3378, 1188, 44539, 30, 6401, 203, 823, 44539, 4191, 26, 9947, 32, 4191, 1761, 13976, 711, 284, 3051, 81, 1204, 280, 330, 1431, 13646, 44, 2300, 44, 2946, 44, 20739, 44, 1055, 25, 284, 3678, 280, 44539, 284, 12877, 81, 1515, 280, 330, 1431, 13646, 33, 2300, 33, 20739, 25, 284, 1474, 81, 38, 34, 38, 280, 26155, 14815, 16612, 3065, 646, 526, 2431, 7144, 284, 665, 622, 81, 37741, 26, 784, 711, 291, 22513, 280, 2599, 26, 11833, 4191, 30, 630, 547, 371, 81, 37741, 346, 291, 442, 22513, 32, 1613, 81, 10513, 463, 761, 681, 370, 330, 32599, 370, 330, 1526, 370, 330, 1526, 505, 3426, 370, 330, 1526, 505, 3153, 683, 203, 823, 29933, 1728, 720, 26, 11833, 4191, 30, 10140, 32, 13460, 711, 284, 3946, 81, 462, 81, 1637, 280, 225, 36, 34, 284, 19404, 280, 308, 291, 2726, 31, 314, 370, 26155, 1792, 37270, 12941, 291, 2726, 314, 370, 26155, 1792, 45727, 12941, 291, 2726, 3607, 370, 26155, 51, 372, 1288, 12941, 291, 2726, 31, 3607, 370, 26155, 76, 372, 312, 12941, 291, 2726, 891, 370, 26155, 6356, 20594, 2276, 12941, 291, 2726, 31, 891, 370, 26155, 62, 19055, 2276, 12941, 284, 829, 284, 7798, 81, 1172, 280, 30121, 1554, 29847, 44, 225, 34, 683, 284, 3502, 81, 8319, 81, 1172, 280, 30121, 1908, 29847, 683, 284, 12697, 81, 3543, 280, 428, 291, 301, 324, 330, 1141, 950, 330, 2560, 370, 324, 330, 426, 950, 26155, 3410, 29847, 2113, 324, 330, 1566, 950, 330, 1919, 2093, 31, 5571, 31, 7207, 370, 324, 330, 23570, 950, 26155, 3671, 844, 3654, 844, 2637, 372, 3066, 4324, 29847, 49, 2113, 324, 330, 297, 81, 6231, 950, 3177, 291, 320, 284, 1481, 284, 665, 622, 81, 1903, 81, 599, 26, 784, 30, 1326, 711, 291, 442, 7422, 27387, 1241, 284, 665, 2125, 81, 2560, 26, 784, 30, 1326, 30, 29847, 711, 291, 8128, 81, 20739, 280, 1605, 291, 3975, 1119, 318, 81, 8224, 280, 1605, 291, 436, 16612, 328, 29847, 44, 324, 415, 16612, 32, 1526, 44, 400, 8128, 81, 20739, 32, 1689, 26, 13382, 32, 3174, 27, 400, 3975, 1119, 318, 81, 8224, 32, 1689, 26, 13382, 32, 1526, 81, 314, 27, 291, 415, 3975, 1119, 318, 81, 8224, 44, 324, 623, 6141, 32, 6231, 2262, 400, 436, 2364, 328, 6401, 32, 5740, 32, 1613, 81, 979, 81, 1877, 922, 2029, 26, 314, 505, 266, 47, 286, 5207, 318, 81, 8224, 711, 528, 630, 32, 2560, 81, 1070, 81, 2613, 26, 1526, 30, 8128, 81, 20739, 27, 291, 436, 16612, 328, 29847, 44, 324, 16612, 32, 2560, 346, 291, 1474, 280, 26155, 4544, 29847, 1159, 2583 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 10, 10, 10, 9, 9, 9, 8, 4, 4, 5, 7, 8, 8, 8, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 2, 2, 4, 4, 5, 5, 8, 8, 8, 6, 10, 10, 10, 5, 5, 8, 8, 6, 10, 10, 10, 5, 5, 8, 8, 6, 10, 10, 10, 10, 5, 5, 8, 8, 8, 6, 10, 10, 10, 10, 5, 5, 8, 8, 6, 10, 10, 10, 10, 5, 5, 8, 8, 8, 6, 10, 10, 10, 10, 5, 5, 2, 2, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 8, 8, 8, 2, 2, 5, 5, 4, 4, 5, 5, 6, 6, 9, 9, 7, 9, 9, 6, 6, 9, 9, 7, 11, 11, 11, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 9, 9, 9, 7, 6, 6, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 9, 7, 7, 7, 12, 12, 11, 12, 11, 13, 12, 13, 11, 8, 8, 12, 12, 12, 12, 11, 12, 11, 13, 12, 13, 13, 13, 11, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 7, 11, 12, 11, 7, 7, 9, 9, 9, 14, 15, 13, 14, 14, 14, 14, 14, 13, 12, 11, 13, 13, 13, 12, 13, 13, 13, 13, 13, 11, 9, 9, 13, 14, 14, 14, 14, 14, 13, 14, 13, 13, 14, 14, 13, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 9, 4, 4, 6, 6, 10, 10, 10, 10 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 3, 3, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 7, 7, 0, 7, 7, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 9, 9, 1, 2, 0, 1, 2, 2, 2, 2, 9, 9, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 10, 10, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 1, 2, 7, 1, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 2, 2, 2, 1, 1, 2, 11, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 9, 1, 1, 2, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 3, 3, 3, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1 ]
[ 465, 4395, 203, 823, 516, 583, 7233, 26, 3613, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 5522, 12242, 26, 324, 2107, 81, 297, 1269, 370, 330, 7490, 370, 330, 978, 22920, 32, 22920, 81, 751, 370, 330, 1521, 3490, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 519, 282, 3211, 12242, 346, 284, 665, 894, 81, 30101, 1902, 81, 452, 81, 33012, 81, 1515, 26, 784, 711, 291, 645, 323, 374, 12451, 32, 1902, 295, 342, 930, 101, 1188, 2115, 86, 291, 1519, 280, 2115, 86, 32, 30101, 1902, 81, 452, 81, 33012, 81, 1515, 26, 35, 37, 42, 27, 291, 630, 32, 5299, 4207, 3731, 33, 33893, 33, 33012, 33, 410, 35, 37, 81, 1902, 42, 83, 392, 1519, 27, 284, 665, 894, 81, 6174, 81, 33012, 81, 605, 26, 784, 711, 291, 645, 323, 374, 12451, 32, 1902, 295, 342, 930, 101, 1188, 2115, 86, 291, 5980, 280, 516, 583, 1006, 6883, 26, 784, 30, 2115, 86, 547, 104, 1804, 81, 104, 1199, 346, 291, 2115, 86, 81, 2665, 280, 2115, 86, 32, 6174, 81, 33012, 81, 605, 346, 291, 630, 32, 5299, 26, 1657, 26, 33012, 81, 2665, 471, 225, 36, 27, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 34, 997, 681, 30, 313, 34915, 657, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 34, 997, 49114, 81, 314, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 34, 997, 49114, 81, 31404, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 34, 997, 24982, 81, 1902, 30, 313, 34, 34, 44, 34, 39, 32, 34, 657, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 34, 997, 3237, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 34, 997, 6764, 1734, 30, 225, 35, 40, 41, 41, 41, 36, 35, 40, 27, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 35, 997, 24982, 81, 1902, 30, 313, 34, 34, 44, 34, 40, 32, 34, 657, 291, 5980, 280, 516, 583, 1006, 6883, 26, 784, 30, 2115, 86, 547, 46335, 81, 104, 1804, 346, 291, 2115, 86, 81, 2665, 280, 2115, 86, 32, 6174, 81, 33012, 81, 605, 346, 291, 630, 32, 5299, 26, 1657, 26, 33012, 81, 2665, 471, 225, 36, 27, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 34, 997, 681, 30, 313, 3476, 657, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 34, 997, 49114, 81, 314, 30, 1665, 27, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 34, 997, 49114, 81, 31404, 30, 1665, 27, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 34, 997, 24982, 81, 1902, 30, 313, 34, 34, 44, 34, 35, 32, 35, 657, 291, 630, 32, 5299, 26, 33012, 81, 2665, 77, 34, 106, 42, 34, 997, 3237, 30, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 7, 7, 7, 10, 10, 10, 10, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 6, 7, 7, 7, 7, 7, 5, 5, 7, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 6, 7, 7, 7, 7, 7, 5, 5, 7, 4, 4, 6, 6, 10, 10, 10, 10, 11, 10, 10, 11, 10, 9, 9, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 10, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 10, 10, 10, 10, 11, 10, 10, 11, 10, 9, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 10, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1 ]
[ 1070, 13625, 1188, 33953, 203, 1070, 11993, 1188, 14580, 30, 2768, 203, 1070, 638, 1439, 1188, 22723, 1183, 9998, 203, 1070, 638, 7052, 1188, 22723, 1183, 28209, 9998, 203, 1070, 638, 7052, 81, 38326, 1188, 22723, 1183, 28209, 2981, 2338, 9998, 203, 81, 9613, 81, 8200, 280, 33953, 346, 261, 203, 81, 9613, 81, 8200, 1365, 7052, 1446, 280, 22723, 1183, 28209, 9998, 203, 81, 9613, 81, 8200, 1365, 7052, 81, 38326, 1446, 280, 22723, 1183, 28209, 2981, 2338, 9998, 203, 505, 464, 505, 280, 308, 284, 313, 7417, 1183, 9998, 392, 284, 313, 7417, 1183, 28209, 9998, 392, 284, 313, 7417, 1183, 28209, 2981, 2338, 9998, 392, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 0, 0, 4, 4, 4, 4, 3, 5, 5, 2, 2, 3, 3, 3, 0, 4, 4, 4, 4, 3, 5, 5, 5, 5, 2, 2, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 46032, 32, 1040, 203, 465, 2361, 203, 1070, 15798, 1188, 4395, 203, 465, 12643, 619, 6121, 203, 465, 13092, 203, 1070, 8040, 81, 2358, 993, 32, 5613, 32, 10201, 1479, 81, 5613, 1188, 17195, 3698, 9395, 203, 1070, 8040, 81, 2358, 993, 32, 1040, 1188, 438, 81, 5248, 81, 944, 444, 203, 589, 894, 81, 10201, 1479, 5613, 81, 20307, 26, 10201, 81, 2848, 711, 284, 5018, 280, 6121, 32, 11364, 15520, 83, 563, 428, 35, 30, 225, 36, 30, 225, 37, 33993, 284, 40586, 280, 20506, 81, 2848, 32, 1297, 11364, 26, 1479, 27, 284, 40586, 32, 20307, 280, 4395, 32, 20229, 3660, 346, 284, 617, 280, 17195, 3698, 9395, 26, 35384, 30, 23637, 47, 1815, 27, 284, 40586, 32, 20307, 32, 862, 81, 10910, 81, 8232, 346, 284, 40586, 280, 20506, 81, 2848, 32, 1297, 11364, 26, 1479, 27, 284, 40586, 32, 20307, 280, 4395, 32, 20229, 3660, 346, 284, 617, 280, 17195, 3698, 9395, 26, 35384, 30, 23637, 47, 2700, 27, 284, 40586, 32, 20307, 32, 862, 81, 1206, 81, 10910, 346, 284, 40586, 280, 20506, 81, 2848, 32, 1297, 11364, 26, 1479, 27, 284, 40586, 32, 20307, 280, 4395, 32, 20229, 3660, 346, 284, 617, 280, 17195, 3698, 9395, 26, 35384, 27, 284, 40586, 32, 20307, 32, 862, 81, 10910, 81, 8232, 346, 203, 50, 12408, 32, 1826, 32, 5961, 325, 26, 284, 646, 438, 81, 5248, 81, 944, 444, 26, 5248, 81, 426, 347, 978, 10201, 2113, 284, 5966, 347, 978, 10201, 2298, 526, 6713, 392, 203, 27, 203, 50, 12408, 32, 12940, 203, 589, 894, 81, 25063, 26, 10201, 81, 2848, 711, 284, 645, 3619, 10201, 32, 2602, 32, 2516, 1188, 4401, 620, 30, 892, 620, 30, 10791, 1176, 30, 10791, 620, 284, 5365, 280, 10791, 620, 26, 291, 428, 324, 10791, 1176, 440, 426, 392, 892, 620, 1026, 2933, 471, 324, 10791, 1176, 440, 381, 392, 4401, 620, 1026, 2933, 471, 324, 10791, 1176, 26, 400, 313, 2468, 392, 400, 10791, 620, 26, 528, 428, 715, 10791, 1176, 440, 16982, 392, 892, 620, 1026, 2933, 471, 715, 10791, 1176, 440, 5702, 392, 892, 620, 1026, 2933, 471, 715, 10791, 1176, 440, 9391, 81, 2171, 392, 4401, 620, 1026, 2933, 471, 528, 1481, 400, 2588, 400, 3177, 30, 324, 2588, 324, 10791, 1176, 440, 426, 81, 19992, 392, 892, 620, 1026, 2933, 471, 324, 10791, 1176, 440, 3780, 32, 15377, 392, 892, 620, 1026, 2933, 471, 324, 10791, 1176, 440, 426, 81, 1793, 81, 37014, 392, 892, 620, 1026, 2933, 471, 324, 10791, 1176, 440, 381, 81, 1793, 81, 37014, 392, 4401, 620, 1026, 2933, 471, 324, 10791, 1176, 26, 400, 313, 2468, 81, 1793, 81, 37014, 392, 400, 10791, 620, 26, 528, 428, 715, 10791, 1176, 440, 16982, 392, 892, 620, 1026, 2933, 471, 715, 10791, 1176, 440, 5702, 392, 892, 620, 1026, 2933, 471, 715, 10791, 1176, 440, 9391, 81, 2171, 392, 4401, 620, 1026, 2933, 471, 528, 1481, 400, 2588, 400, 3177, 30, 324, 2588, 291, 1481, 284, 829, 284, 5760, 280, 428, 291, 308, 324, 313, 40880, 392, 1802, 35, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 7, 6, 10, 10, 8, 10, 9, 9, 10, 9, 9, 10, 9, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 7, 6, 2, 2, 5, 6, 4, 4, 6, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 7, 8, 6, 2, 2, 6, 7, 5, 6, 6, 6, 6, 6, 5, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 7, 6, 2, 2, 5, 6, 4, 4, 6, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 7, 8, 6, 2, 2, 6, 7, 5, 6, 6, 6, 6, 6, 5, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 7, 6, 2, 2, 5, 6, 4, 4, 6, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 7, 6, 2, 2, 6, 7, 5, 6, 6, 6, 6, 6, 5, 0, 2, 6, 5, 6, 4, 5, 5, 4, 4, 4, 5, 7, 7, 7, 7, 7, 7, 9, 9, 9, 8, 10, 10, 10, 4, 4, 5, 7, 7, 7, 7, 7, 7, 4, 4, 1, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 4, 4, 4, 3, 2, 2, 4, 6, 5, 6, 5, 6, 4, 4, 6, 4, 4, 6, 4, 4, 6, 4, 4, 6, 3, 3, 5, 5, 7, 7, 7, 7, 8, 8, 10, 10, 12, 12, 10, 12, 12, 10, 10, 8, 8, 10, 10, 12, 12, 10, 12, 12, 10, 10, 8, 8, 10, 10, 10, 10, 12, 12, 10, 10, 12, 12, 12, 12, 13, 13, 15, 15, 17, 17, 15, 17, 17, 15, 15, 13, 13, 15, 15, 17, 17, 15, 17, 17, 15, 15, 13, 13, 15, 15, 17, 17, 17, 17, 15, 17, 17, 15, 15, 13, 13, 12, 12, 10, 10, 10, 10, 10, 8, 8, 10, 10, 12, 12, 12, 12, 10, 12, 12, 10, 10, 8, 8, 10, 10, 12, 12, 12, 12, 10, 12, 12, 10, 10, 8, 8, 10, 10, 12, 12, 12, 12, 12, 12, 10, 12, 12, 10, 10, 8, 8, 10, 10, 12, 12, 12, 12, 12, 12, 10, 12, 12, 10, 10, 8, 8, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 13, 13, 15, 15, 17, 17, 15, 17, 17, 15, 15, 13, 13, 15, 15, 17, 17, 15, 17, 17, 15, 15, 13, 13, 15, 15, 17, 17, 17, 17, 15, 17, 17, 15, 15, 13, 13, 12, 12, 10, 10, 10, 10, 10, 8, 8, 7, 7, 3, 3, 5, 5, 6, 6, 7, 7, 9, 9, 7, 8, 7 ]
[ 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 5, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 8, 1, 0, 1, 2, 8, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 3, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 465, 8527, 32, 1199, 32, 3378, 32, 30550, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 12522, 32, 1586, 44930, 81, 9277, 26, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 291, 2726, 22988, 101, 12739, 1054, 370, 330, 34, 34, 35, 41, 81, 2837, 81, 36, 34, 35, 41, 34, 39, 35, 34, 81, 35, 40, 35, 38, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 4913, 1176, 26, 324, 1542, 81, 426, 1057, 1567, 370, 324, 636, 1057, 1237, 81, 314, 370, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 1567, 370, 324, 636, 1057, 314, 370, 324, 1600, 47, 3378, 32, 4741, 1176, 26, 2837, 81, 4524, 47, 1815, 30, 1244, 47, 35, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 1425, 324, 24070, 81, 1536, 47, 2700, 30, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 5883, 370, 324, 636, 1057, 4524, 81, 1170, 370, 324, 1600, 47, 3378, 32, 13343, 26, 1536, 47, 35, 30, 544, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 28781, 30, 372, 47, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 324, 24070, 81, 1536, 47, 2700, 30, 291, 2588, 284, 1481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 7, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 5, 5, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 7, 7, 8, 11, 10, 11, 11, 10, 12, 12, 12, 11, 12, 10, 10, 11, 12, 10, 10, 12, 12, 11, 12, 10, 10, 11, 12, 10, 10, 12, 12, 11, 13, 13, 7, 7, 9, 9, 8, 9, 7, 7, 7, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 12, 12, 11, 16, 15, 16, 14, 15, 13, 14, 12, 13, 10, 10, 11, 13, 12, 13, 13, 13, 13, 13, 10, 7, 7, 9, 9, 8, 9, 7, 7, 7, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 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, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 1, 1, 0, 0, 9, 1, 2, 1, 1, 0, 0, 7, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 5, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1359, 3922, 203, 465, 2322, 203, 1070, 31074, 1188, 438, 3428, 203, 1270, 44, 284, 645, 1974, 81, 17099, 1188, 1974, 81, 1553, 284, 16424, 81, 6229, 527, 81, 26636, 280, 3177, 203, 7343, 29986, 44, 10065, 16424, 81, 6229, 527, 81, 26636, 280, 2933, 203, 1070, 1148, 812, 1262, 1188, 308, 284, 6259, 2265, 30, 284, 9145, 779, 4360, 2265, 30, 284, 23355, 4360, 2265, 30, 284, 18115, 30, 284, 4448, 271, 30, 284, 10285, 4360, 2265, 30, 284, 1565, 13683, 31346, 30, 284, 1683, 31802, 31346, 30, 284, 3523, 30, 203, 27, 203, 1070, 638, 1188, 4549, 203, 1070, 638, 1163, 1188, 3383, 203, 1070, 638, 913, 1188, 1156, 1648, 7642, 2330, 81, 4065, 30, 14126, 81, 28322, 81, 9302, 203, 1070, 638, 11452, 1188, 5675, 984, 203, 1070, 638, 1473, 271, 1188, 2194, 271, 203, 823, 4761, 30808, 26, 1473, 711, 284, 1974, 81, 7149, 280, 3177, 284, 477, 2433, 284, 665, 617, 1978, 81, 5665, 26, 784, 711, 291, 786, 280, 630, 1114, 5665, 81, 4680, 291, 630, 1114, 5665, 81, 4680, 1454, 225, 35, 291, 442, 786, 284, 477, 2433, 284, 665, 1491, 81, 2585, 26, 784, 711, 291, 442, 630, 1114, 1262, 610, 630, 1114, 850, 81, 2585, 81, 1262, 284, 477, 850, 81, 2585, 32, 16527, 284, 665, 1491, 81, 2585, 26, 784, 30, 786, 711, 291, 415, 786, 44, 324, 630, 1114, 1262, 280, 630, 1114, 850, 81, 2585, 81, 1262, 291, 4348, 630, 1114, 12995, 81, 1262, 438, 1665, 44, 324, 3636, 5675, 984, 26, 400, 313, 850, 81, 2585, 4881, 526, 14014, 619, 1755, 322, 313, 400, 313, 11055, 4360, 2265, 438, 3304, 3107, 324, 829, 291, 813, 44, 324, 630, 1114, 1262, 280, 630, 1114, 12995, 81, 1262, 284, 665, 1156, 1403, 3207, 784, 711, 291, 442, 630, 284, 665, 1156, 4775, 3207, 784, 30, 11421, 1132, 711, 284, 665, 1156, 1664, 3207, 291, 630, 30, 291, 4755, 81, 426, 47, 2521, 30, 291, 1326, 271, 81, 823, 47, 2521, 30, 291, 1326, 271, 81, 5321, 47, 2521, 30, 291, 1115, 1163, 81, 3550, 284, 8063, 16189, 630, 1114, 1262, 280, 630, 1114, 12995, 81, 1262, 280, 630, 1114, 850, 81, 2585, 81, 1262, 280, 1665, 291, 630, 1114, 1473, 271, 280, 1665, 291, 630, 1114, 5665, 81, 4680, 280, 225, 34, 291, 1596, 44, 324, 1359, 81, 1906, 280, 4755, 81, 426, 556, 2322, 32, 23407, 440, 777, 812, 81, 2851, 657, 556, 313, 5807, 20, 324, 630, 32, 1163, 280, 3383, 26, 1163, 81, 1906, 30, 1115, 1163, 81, 3550, 27, 291, 2940, 1359, 3922, 32, 2023, 5426, 924, 619, 13489, 44, 324, 3049, 81, 1436, 280, 308, 400, 313, 4282, 3943, 322, 636, 432, 312, 1148, 812, 32, 5930, 313, 400, 313, 5983, 1510, 1957, 646, 2307, 5327, 96, 78, 96, 1562, 3049, 313, 400, 313, 1793, 6892, 312, 4761, 30808, 1980, 30, 7725, 78, 96, 20, 400, 313, 641, 555, 777, 812, 32, 21168, 32, 716, 33, 272, 33, 5323, 33, 687, 81, 1498, 4788, 20, 400, 313, 393, 33, 23824, 81, 2386, 32, 916, 78 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 5, 5, 3, 3, 5, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 5, 5, 0, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 8, 9, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 8, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 7, 8, 9, 9, 9, 9, 9, 2, 2, 6, 6, 6, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 6, 6, 6, 10, 11, 9, 9, 10, 11, 11, 11, 11, 11, 6, 6, 7, 9, 10, 10, 10, 8, 8, 7, 7, 7, 9, 11, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 11, 11, 6, 6, 7, 7, 7, 11, 12, 10, 10, 11, 12, 12, 12, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 5, 5, 5, 9, 9, 8, 8, 11, 11, 10, 10, 12, 13, 12, 14, 14, 14, 14, 14, 9, 9, 11, 11, 6, 6, 9, 10, 8, 8, 10, 11, 11, 11, 10, 10, 12, 12, 12, 10, 5, 5, 6, 9, 8, 9, 9, 9, 7, 7, 6, 6, 6, 10, 10, 9, 9, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 14, 14, 14, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 11, 11, 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, 14 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 6, 6, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 0, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 4, 4, 5, 1, 1, 1, 2, 2, 1, 2, 4, 4, 6, 1, 1, 2, 2, 2, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 7, 2, 2, 2, 2, 1, 1, 1, 2, 2, 6, 6, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 2, 2, 2, 1, 1, 3, 3, 3, 0, 0, 0, 0, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ 465, 13458, 331, 14593, 108, 619, 42094, 422, 203, 1294, 81, 1131, 463, 8331, 313, 6545, 20, 372, 5008, 372, 677, 56, 1706, 32, 22639, 203, 77, 97, 1045, 1685, 1290, 30, 337, 13025, 79, 280, 42094, 422, 32, 5522, 81, 3337, 346, 203, 1294, 81, 1131, 463, 8331, 313, 6545, 20, 372, 1487, 312, 537, 2074, 32, 22639, 203, 97, 3196, 280, 42094, 422, 32, 890, 81, 2250, 26, 97, 13025, 27, 203, 1294, 81, 1131, 463, 8331, 313, 6545, 20, 372, 5551, 312, 537, 475, 19652, 5824, 6735, 8189, 677, 56, 1706, 8899, 35, 32, 22639, 203, 97, 8899, 280, 42094, 422, 32, 3215, 81, 7177, 26, 97, 3196, 30, 313, 22883, 1706, 8899, 35, 392, 313, 54, 19652, 5824, 657, 203, 1294, 81, 1131, 463, 8331, 313, 6545, 20, 372, 739, 322, 4523, 7012, 372, 313, 37, 54, 3678, 265, 20, 308, 1318, 1244, 461, 1755, 8967, 3809, 786, 547, 22639, 203, 97, 4822, 280, 42094, 422, 32, 470, 81, 2480, 81, 5728, 26, 97, 8899, 27, 203, 1294, 81, 1131, 463, 8331, 313, 6545, 20, 372, 5551, 1629, 15005, 4308, 1991, 322, 6735, 32, 22639, 203, 22540, 422, 32, 669, 81, 2433, 26, 97, 8899, 30, 313, 106, 2390, 392, 42094, 422, 32, 3487, 440, 35, 95, 2131, 203, 22540, 422, 32, 669, 81, 2433, 26, 97, 8899, 30, 313, 107, 2390, 392, 42094, 422, 32, 3487, 440, 36, 95, 2131, 203, 22540, 422, 32, 669, 81, 2433, 26, 97, 8899, 30, 313, 108, 2390, 392, 42094, 422, 32, 3487, 440, 37, 95, 2131, 203, 22540, 422, 32, 669, 81, 2433, 26, 97, 8899, 30, 313, 1323, 404, 392, 42094, 422, 32, 3487, 440, 35, 95, 2131, 203, 1294, 81, 1131, 463, 8331, 313, 6545, 20, 372, 5171, 312, 15005, 1471, 322, 4308, 32, 22639, 203, 22540, 422, 32, 1297, 81, 15381, 26, 97, 4822, 30, 42094, 422, 32, 3487, 440, 106, 2390, 2113, 36277, 202, 22540, 422, 32, 3487, 440, 107, 2390, 2113, 36277, 202, 22540, 422, 32, 3487, 440, 108, 2390, 2113, 36277, 202, 22540, 422, 32, 3487, 440, 43455, 657, 33, 36, 27, 203, 1294, 81, 1131, 463, 8331, 313, 6545, 20, 372, 22438, 677, 56, 1706, 32, 22639, 203, 22540, 422, 32, 16997, 81, 3164, 26, 97, 13025, 27, 203, 4025, 337, 4822, 203, 4025, 337, 8899, 203, 4025, 337, 3196, 203, 4025, 337, 13025, 203, 4025, 337, 1045, 1685, 1290, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 4, 4, 2, 2, 3, 0, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 4, 4, 4, 4, 3, 3, 4, 3, 2, 2, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 5, 5, 4, 0, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 5, 5, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 0, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 5, 5, 5, 3, 6, 5, 6, 5, 7, 7, 7, 0, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 5, 5, 5, 3, 6, 5, 6, 5, 7, 7, 7, 0, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 5, 5, 5, 3, 6, 5, 6, 5, 7, 7, 7, 0, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 5, 5, 5, 3, 6, 5, 6, 5, 7, 7, 7, 0, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 6, 5, 6, 5, 7, 7, 7, 3, 3, 6, 6, 5, 6, 5, 7, 7, 7, 3, 3, 6, 6, 5, 6, 5, 7, 7, 7, 3, 3, 7, 7, 6, 7, 6, 8, 8, 4, 5, 3, 0, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 9, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 18, 18, 1, 0, 19, 19, 1, 0, 20, 20, 1, 0, 21, 21, 1, 0, 22, 22, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 36287, 1188, 2908, 30, 5668, 203, 1070, 8527, 32, 1199, 1188, 6141, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 28497, 1188, 6207, 81, 3648, 203, 1070, 638, 8538, 1188, 1312, 10447, 1241, 30, 12831, 5287, 1241, 203, 1070, 8527, 32, 12023, 1188, 5218, 203, 589, 1650, 26, 1357, 711, 284, 1780, 280, 313, 19016, 20, 284, 3115, 81, 9578, 280, 301, 291, 330, 1311, 950, 1780, 284, 320, 284, 442, 2908, 26, 1357, 30, 313, 8592, 33, 2833, 32, 916, 392, 3115, 81, 9578, 27, 203, 50, 3615, 81, 3648, 203, 50, 6554, 32, 6231, 203, 589, 6274, 26, 1357, 711, 284, 1780, 280, 313, 3341, 9923, 20, 284, 415, 1326, 32, 1959, 610, 330, 3705, 950, 291, 636, 81, 599, 280, 1312, 10447, 1241, 26, 1357, 32, 3705, 30, 1980, 47, 1357, 32, 496, 27, 291, 9355, 81, 599, 280, 12831, 5287, 1241, 26, 1357, 32, 3705, 30, 1980, 47, 1357, 32, 496, 32, 3959, 27, 291, 415, 636, 81, 599, 32, 297, 81, 1327, 346, 461, 9355, 81, 599, 32, 297, 81, 1327, 2262, 324, 636, 81, 599, 32, 2853, 346, 324, 9355, 81, 599, 32, 2853, 346, 324, 5218, 32, 3127, 26, 1357, 30, 330, 10195, 6274, 1401, 2583, 7504, 4459, 22735, 324, 442, 5668, 463, 3959, 683, 291, 813, 44, 324, 5218, 32, 731, 26, 1357, 30, 330, 6574, 3809, 322, 1048, 4794, 11834, 284, 813, 44, 291, 636, 81, 599, 280, 1312, 10447, 1241, 26, 2386, 47, 1357, 32, 496, 27, 291, 9355, 81, 599, 280, 12831, 5287, 1241, 26, 2386, 47, 1357, 32, 496, 32, 3959, 27, 284, 3115, 81, 9578, 280, 301, 291, 330, 1311, 950, 1780, 30, 291, 330, 426, 81, 599, 950, 636, 81, 599, 30, 291, 330, 5110, 81, 599, 950, 9355, 81, 599, 284, 320, 284, 442, 2908, 26, 1357, 30, 313, 3524, 33, 3959, 32, 916, 392, 3115, 81, 9578, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 6, 5, 5, 2, 2, 3, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 5, 6, 6, 5, 0, 2, 3, 3, 3, 1, 2, 4, 3, 4, 1, 2, 2, 3, 4, 3, 2, 2, 5, 5, 7, 7, 7, 3, 3, 4, 6, 7, 5, 5, 7, 7, 4, 4, 8, 8, 7, 7, 9, 9, 9, 11, 10, 11, 9, 9, 10, 12, 11, 12, 9, 5, 5, 8, 8, 7, 7, 9, 9, 9, 11, 10, 11, 9, 9, 10, 13, 12, 13, 11, 12, 9, 5, 5, 6, 10, 10, 9, 10, 10, 10, 9, 7, 7, 10, 10, 9, 10, 10, 10, 9, 6, 6, 11, 11, 10, 11, 10, 7, 7, 11, 11, 10, 11, 10, 7, 7, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 7, 7, 8, 10, 12, 12, 6, 6, 7, 7, 7, 11, 12, 11, 12, 11, 11, 13, 13, 13, 13, 13, 13, 4, 4, 5, 5, 5, 9, 9, 8, 8, 10, 10, 10, 12, 11, 13, 12, 13, 10, 6, 6, 9, 9, 8, 8, 10, 10, 10, 12, 11, 14, 13, 14, 12, 13, 10, 3, 3, 6, 6, 5, 5, 6, 6, 9, 9, 7, 6, 6, 6, 9, 9, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 9, 9, 7, 8, 8, 6, 6, 3, 3, 4, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 6, 7, 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 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 2, 1, 2, 5, 5, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 0, 0, 1, 1, 1, 6, 1, 0, 1, 2, 6, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 0, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 1, 3, 3, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 2, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 9206, 16935, 32, 1199, 1188, 21454, 203, 1070, 9206, 16935, 32, 3378, 1188, 2680, 203, 1070, 9206, 16935, 32, 5379, 32, 2393, 1188, 6207, 81, 3648, 203, 1070, 9206, 16935, 32, 5379, 1188, 27927, 30, 1913, 7787, 203, 1070, 30419, 32, 1473, 314, 1188, 41805, 203, 1070, 18971, 1188, 1326, 203, 1070, 18971, 32, 407, 32, 4738, 2790, 1188, 6287, 30, 3616, 2208, 203, 823, 14217, 2291, 26, 2291, 711, 284, 477, 3615, 81, 3648, 284, 665, 622, 26, 784, 30, 804, 711, 291, 442, 21454, 32, 1199, 32, 3707, 32, 1809, 81, 658, 81, 271, 81, 38, 34, 38, 14178, 81, 314, 950, 41805, 26, 314, 25952, 284, 477, 3615, 81, 3648, 284, 665, 3066, 26, 784, 30, 804, 711, 291, 442, 21454, 32, 1199, 32, 3707, 32, 2546, 14178, 81, 314, 950, 41805, 26, 314, 25952, 203, 823, 14217, 720, 2291, 26, 2291, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 3922, 280, 3616, 2208, 32, 1104, 2825, 346, 291, 415, 1326, 32, 1959, 610, 330, 2788, 950, 324, 630, 32, 3922, 32, 669, 81, 2669, 463, 3248, 370, 827, 47, 410, 30, 1244, 47, 36, 34, 27, 324, 630, 32, 3922, 32, 669, 81, 2669, 463, 2881, 370, 827, 47, 410, 30, 1244, 47, 34, 27, 291, 4348, 1326, 32, 1959, 610, 330, 3705, 950, 324, 630, 32, 3922, 32, 669, 81, 2669, 463, 699, 370, 827, 47, 24894, 32, 1935, 81, 2468, 30, 2129, 47, 1815, 27, 324, 630, 32, 3922, 32, 669, 81, 2669, 463, 2895, 370, 827, 47, 466, 30, 2129, 47, 1815, 27, 291, 2599, 26, 3699, 720, 2291, 30, 630, 14585, 1664, 16369, 284, 477, 3615, 81, 3648, 284, 665, 622, 26, 784, 711, 291, 2181, 280, 630, 32, 3922, 32, 2208, 81, 1132, 346, 291, 4250, 280, 21454, 32, 1199, 32, 3707, 32, 1809, 922, 5961, 26, 1132, 32, 2881, 547, 3248, 26, 1132, 32, 3248, 27, 291, 442, 301, 324, 330, 5740, 950, 4250, 30, 324, 330, 2881, 950, 2181, 32, 2881, 30, 324, 330, 3248, 950, 2181, 32, 3248, 30, 291, 320, 284, 477, 3615, 81, 3648, 284, 665, 2364, 26, 784, 711, 291, 2181, 280, 630, 32, 3922, 32, 2208, 81, 1132, 346, 291, 1256, 280, 2680, 26, 1132, 32, 699, 30, 2181, 32, 2895, 27, 291, 415, 21454, 32, 1199, 32, 3707, 32, 1809, 81, 658, 14178, 699, 950, 1256, 32, 699, 46207, 324, 442, 5053, 1436, 950, 330, 1240, 2149, 3425, 5375, 2473, 1643, 26, 496, 32, 699, 11918, 1913, 7787, 32, 13727, 81, 7921, 291, 1256, 81, 314, 280, 1256, 32, 1297, 346, 291, 442, 5053, 314, 950, 1256, 81, 314, 835, 1913, 7787, 32, 28073, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 6, 10, 11, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 12, 12, 12, 10, 12, 13, 12, 2, 2, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 6, 10, 11, 9, 10, 8, 9, 8, 12, 12, 12, 10, 12, 13, 12, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 8, 9, 9, 8, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 10, 11, 9, 10, 10, 10, 9, 11, 11, 9, 10, 11, 9, 9, 10, 11, 11, 9, 6, 6, 10, 11, 9, 10, 10, 10, 9, 11, 11, 9, 10, 11, 9, 9, 10, 11, 9, 5, 5, 6, 8, 9, 7, 7, 9, 9, 6, 6, 11, 12, 10, 11, 11, 11, 10, 12, 12, 10, 11, 13, 12, 13, 13, 13, 10, 10, 11, 12, 10, 7, 7, 11, 12, 10, 11, 11, 11, 10, 12, 12, 10, 11, 12, 10, 10, 11, 12, 10, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 2, 2, 5, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 5, 5, 7, 7, 15, 16, 14, 15, 13, 14, 13, 12, 11, 13, 12, 13, 11, 10, 9, 11, 10, 11, 9, 5, 5, 6, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 9, 10, 7, 7, 7, 10, 10, 8, 9, 10, 7, 7, 7, 2, 2, 5, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 5, 5, 7, 7, 9, 11, 10, 11, 9, 9, 10, 11, 9, 5, 5, 6, 10, 11, 9, 10, 8, 9, 9, 9, 8, 12, 12, 10, 11, 12, 9, 6, 6, 8, 13, 13, 11, 15, 15, 15, 15, 15, 14, 13, 15, 14, 15, 13, 9, 11, 10, 11, 11, 11, 5, 5, 8, 8, 7, 7, 9, 10, 9, 5, 5, 6, 11, 11, 9, 10, 10, 8, 7, 9, 8, 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 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 2, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 1, 4, 4, 6, 6, 6, 6, 0, 0, 7, 7, 1, 2, 1, 2, 7, 7, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 1, 1, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 3, 0, 2, 2, 2, 2, 1, 1, 5, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 4, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 3995, 203, 19833, 280, 428, 284, 330, 1011, 438, 9437, 370, 284, 330, 1011, 438, 20985, 631, 1259, 370, 284, 330, 11446, 312, 40062, 370, 284, 330, 10922, 20561, 370, 284, 330, 4282, 1631, 24056, 544, 561, 370, 284, 330, 1465, 439, 2318, 561, 30, 9155, 370, 284, 330, 20132, 11353, 370, 284, 330, 40837, 4644, 370, 284, 330, 10922, 370, 284, 330, 3388, 101, 2260, 372, 9155, 370, 284, 330, 9259, 420, 5511, 1596, 4056, 370, 284, 330, 30140, 4056, 6125, 370, 284, 330, 45198, 646, 8883, 844, 2464, 370, 284, 330, 11394, 10618, 2464, 370, 284, 330, 609, 2460, 3306, 461, 7660, 4056, 370, 284, 330, 15494, 6945, 102, 2385, 544, 561, 370, 284, 330, 3758, 9460, 438, 1289, 370, 284, 330, 3758, 10849, 7617, 1289, 370, 284, 330, 40837, 646, 1259, 4644, 370, 284, 330, 39518, 40062, 2790, 25, 203, 79, 203, 589, 39929, 11653, 26, 496, 30, 2181, 711, 284, 442, 3995, 32, 11447, 26, 19833, 27, 203, 7621, 280, 301, 284, 330, 42, 11653, 950, 39929, 11653, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 6, 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, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 5, 6, 5, 0, 3, 2, 2, 3, 3, 6, 6, 6, 4, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5167, 203, 465, 1133, 203, 465, 316, 203, 1070, 25679, 1188, 25679, 203, 2393, 81, 5078, 280, 2149, 203, 589, 617, 4635, 81, 12623, 26, 3359, 711, 334, 665, 7767, 2740, 1132, 711, 284, 665, 438, 81, 1206, 81, 3235, 10739, 26, 86, 30, 100, 711, 397, 442, 11665, 26, 291, 9254, 816, 30, 107, 44, 816, 556, 533, 30, 291, 1992, 26, 5962, 831, 44, 831, 646, 328, 343, 556, 646, 343, 77, 93, 614, 540, 27, 397, 829, 284, 415, 438, 81, 1206, 81, 3235, 10739, 26, 2393, 81, 5078, 30, 2726, 9534, 370, 330, 1956, 41095, 397, 3636, 3268, 463, 5324, 1932, 683, 284, 442, 2771, 2740, 1132, 27, 334, 442, 7767, 203, 589, 6207, 26, 699, 30, 3882, 711, 334, 415, 952, 438, 1665, 556, 3882, 438, 1665, 44, 284, 3636, 3268, 463, 4391, 2080, 10677, 683, 334, 312, 280, 5167, 32, 371, 463, 641, 555, 1499, 101, 32, 20292, 32, 508, 33, 3615, 32, 1567, 683, 334, 3523, 81, 314, 280, 312, 32, 21326, 32, 371, 463, 63, 1844, 60, 9564, 779, 683, 334, 5543, 81, 314, 280, 312, 32, 21326, 32, 371, 463, 33118, 779, 683, 334, 323, 280, 5167, 32, 1526, 26, 284, 330, 641, 555, 1499, 101, 32, 20292, 32, 508, 33, 3615, 1240, 7464, 32, 106, 1567, 370, 284, 21032, 280, 312, 32, 21326, 30, 284, 4826, 280, 301, 397, 330, 7071, 950, 330, 3164, 33, 1260, 370, 397, 330, 1777, 31, 681, 950, 330, 3164, 33, 106, 31, 1499, 31, 599, 31, 27151, 45, 8485, 47, 6261, 31, 42, 370, 397, 330, 10755, 950, 330, 63, 1844, 60, 9564, 779, 1279, 34, 1255, 46852, 55, 779, 1279, 35, 16805, 1643, 26, 2848, 81, 314, 30, 291, 5543, 81, 314, 27, 284, 801, 284, 706, 280, 301, 397, 330, 699, 950, 952, 30, 397, 330, 2895, 950, 3882, 30, 397, 330, 2795, 950, 330, 62, 25, 284, 320, 334, 829, 334, 23049, 81, 1956, 280, 323, 32, 1260, 31510, 43144, 1763, 785, 334, 2530, 280, 316, 32, 1903, 463, 63, 1844, 60, 9564, 779, 4310, 40708, 293, 370, 323, 32, 5078, 710, 470, 31, 9534, 3490, 334, 415, 2530, 438, 1665, 44, 284, 3636, 3268, 463, 2023, 488, 1844, 60, 9564, 779, 683, 334, 323, 81, 2848, 81, 314, 280, 2530, 32, 6332, 26, 34, 5594, 34, 79, 203, 589, 622, 81, 3524, 81, 1036, 33317, 26, 16051, 47, 2521, 711, 334, 415, 19850, 438, 1665, 44, 284, 442, 2149, 334, 1596, 44, 284, 343, 280, 5167, 32, 371, 26, 397, 330, 641, 555, 20292, 32, 30299, 32, 410, 5326, 32, 508, 33, 104, 35, 33, 12892, 49, 3248, 47, 35, 34, 34, 34, 370, 397, 4826, 280, 5053, 8466, 950, 330, 16480, 330, 474, 19850, 111, 284, 829, 284, 13077, 280, 5436, 26, 1110, 26, 397, 9254, 816, 44, 308, 291, 816, 710, 5501, 558, 785, 474, 330, 330, 474, 816, 710, 2219, 29177, 2188, 291, 816, 710, 1700, 10312, 785, 397, 2588, 397, 2761, 26, 291, 9254, 816, 44, 816, 710, 3524, 1533, 785, 610, 330, 13024, 25, 461, 816 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 4, 3, 3, 5, 6, 6, 6, 6, 6, 6, 7, 6, 7, 6, 5, 5, 7, 9, 9, 9, 10, 11, 12, 10, 10, 11, 11, 9, 9, 9, 11, 12, 12, 12, 12, 14, 14, 14, 13, 13, 14, 15, 16, 15, 11, 11, 9, 9, 4, 4, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 10, 10, 8, 10, 10, 5, 5, 7, 9, 11, 11, 11, 4, 4, 5, 7, 9, 7, 2, 2, 3, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 5, 5, 4, 4, 5, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 2, 2, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 8, 9, 6, 6, 6, 7, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 12, 12, 11, 11, 11, 12, 12, 11, 8, 8, 6, 6, 7, 7, 8, 8, 11, 11, 9, 8, 8, 8, 11, 11, 9, 8, 8, 8, 11, 11, 9, 11, 11, 8, 8, 6, 6, 2, 2, 5, 5, 4, 4, 7, 8, 7, 7, 7, 7, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 7, 8, 7, 8, 7, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 13, 13, 11, 14, 14, 12, 12, 10, 8, 8, 4, 4, 6, 6, 8, 10, 10, 10, 10, 11, 11, 11, 12, 12, 15, 17, 17, 17, 14, 14, 16, 13, 13, 14, 16, 16, 16, 12, 12, 13, 15, 15, 15, 12, 12, 10, 10, 12, 12, 12, 13, 13, 13, 16, 18, 18, 18, 15, 15, 17, 17, 14, 14 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 3, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 3, 2, 1, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 0, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 4, 4, 1, 0, 6, 6, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 2, 2, 1, 1, 1, 5, 5, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 1, 1, 7, 7, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 3, 1, 1, 1, 2, 4, 4, 7, 1, 1, 7, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 7, 7, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 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, 2, 1, 1, 3, 3, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 3, 3 ]
[ 1277, 14279, 203, 20, 203, 465, 12500, 203, 1070, 18105, 612, 1188, 31284, 882, 7870, 203, 1070, 18105, 612, 1188, 31284, 953, 7870, 203, 465, 11685, 203, 823, 34344, 4293, 101, 1734, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 464, 81, 7017, 81, 18508, 280, 31284, 953, 7870, 346, 291, 630, 32, 464, 81, 8031, 280, 31284, 882, 7870, 346, 291, 630, 32, 464, 81, 15019, 280, 31284, 882, 7870, 346, 291, 630, 32, 4155, 101, 280, 2149, 291, 630, 32, 7891, 280, 2933, 291, 630, 32, 10898, 3815, 280, 3177, 284, 665, 617, 267, 1500, 26, 784, 30, 1692, 711, 291, 436, 9086, 328, 630, 32, 464, 81, 8031, 32, 2810, 2262, 324, 415, 646, 9086, 32, 3854, 809, 32, 7230, 26, 784, 711, 400, 442, 291, 415, 1692, 32, 266, 15019, 438, 1665, 556, 646, 630, 32, 7891, 44, 324, 415, 630, 32, 10898, 3815, 44, 400, 630, 1114, 1877, 26, 1567, 27, 400, 436, 9086, 328, 630, 32, 464, 81, 8031, 32, 2810, 2262, 528, 9086, 32, 3887, 346, 400, 630, 32, 10898, 3815, 280, 3177, 324, 442, 291, 630, 1114, 1877, 26, 1567, 27, 284, 665, 617, 1877, 26, 784, 30, 1692, 711, 291, 588, 351, 436, 9086, 328, 630, 32, 464, 81, 8031, 32, 2810, 2262, 324, 9086, 32, 11243, 81, 3419, 26, 784, 32, 4155, 101, 77, 314, 26, 8031, 14829, 291, 588, 351, 436, 32786, 1734, 328, 630, 32, 464, 81, 7017, 81, 18508, 32, 3494, 2262, 324, 26762, 280, 630, 32, 464, 81, 7017, 81, 18508, 77, 6711, 1734, 79, 324, 415, 308, 1567, 32, 266, 15019, 328, 428, 928, 32, 371, 81, 15019, 346, 436, 1628, 328, 32786, 1734, 79, 528, 461, 630, 32, 7891, 711, 400, 8702, 280, 2933, 400, 630, 32, 10898, 3815, 280, 2933, 324, 813, 44, 400, 8702, 280, 3177, 324, 436, 1628, 328, 32786, 1734, 44, 400, 415, 26762, 610, 330, 10163, 950, 528, 1628, 32, 470, 81, 106, 605, 1162, 1567, 32, 106, 605, 30, 1692, 32, 106, 605, 490, 400, 415, 26762, 610, 330, 10630, 950, 528, 1628, 32, 470, 81, 107, 605, 1162, 1567, 32, 107, 605, 30, 1692, 32, 107, 605, 490, 400, 1628, 32, 470, 81, 7891, 26, 7891, 27, 400, 3327, 280, 1628, 32, 371, 81, 15019, 346, 400, 3327, 32, 3887, 81, 12278, 26, 928, 27, 291, 588, 351, 436, 9086, 328, 630, 32, 464, 81, 8031, 32, 2810, 2262, 324, 9086, 32, 36210, 26, 8031, 32, 7630, 32, 18209, 27, 284, 665, 617, 3815, 26, 784, 30, 1692, 711, 291, 313, 351, 630, 32, 4155, 101, 280, 2149, 291, 436, 9086, 328, 630, 32, 464, 81, 8031, 32, 2810, 2262, 324, 630, 32, 4155, 101, 77, 314, 26, 8031, 2177, 280, 308, 400, 9086, 32, 2991, 81, 1070, 81, 18209, 26, 8031, 32, 7630, 32, 18209, 490, 291, 436, 6213, 328, 630, 32, 464, 81, 7017, 81, 18508, 32, 3494, 2262, 324, 436, 1628, 328, 6213, 44, 400, 1628, 32, 470, 81, 7891, 26, 2700, 27, 284, 665, 1015, 81, 7017, 26, 784, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 8, 9, 9, 9, 7, 8, 7, 5, 5, 7, 8, 11, 12, 12, 10, 11, 10, 11, 10, 7, 7, 4, 4, 5, 8, 9, 9, 7, 7, 6, 6, 7, 8, 9, 5, 5, 5, 7, 8, 9, 9, 7, 7, 7, 11, 12, 11, 12, 11, 8, 8, 9, 9, 9, 12, 13, 13, 13, 11, 12, 11, 9, 9, 13, 14, 13, 8, 8, 11, 12, 12, 10, 10, 6, 6, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 10, 9, 10, 10, 8, 10, 10, 11, 10, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 7, 8, 8, 7, 4, 4, 5, 10, 9, 10, 10, 8, 8, 12, 11, 12, 12, 12, 11, 9, 10, 10, 10, 11, 9, 7, 7, 7, 8, 9, 6, 5, 5, 8, 8, 6, 6, 9, 10, 10, 8, 8, 5, 5, 6, 6, 6, 9, 9, 4, 4, 5, 5, 5, 6, 5, 5, 5, 7, 8, 8, 10, 10, 7, 7, 11, 12, 12, 12, 12, 11, 14, 13, 14, 14, 12, 12, 13, 14, 14, 12, 6, 6, 7, 8, 8, 10, 10, 7, 7, 11, 12, 12, 12, 12, 11, 14, 13, 14, 14, 12, 12, 13, 14, 14, 12, 6, 6, 9, 10, 10, 10, 9, 10, 9, 6, 6, 8, 8, 10, 11, 11, 11, 10, 6, 6, 9, 10, 10, 10, 9, 10, 9, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 3, 3, 7, 8, 8, 6, 6, 4, 4, 5, 5, 5, 8, 9, 9, 9, 7, 8, 7, 5, 5, 10, 11, 11, 9, 11, 11, 12, 11, 8, 8, 9, 9, 11, 12, 12, 12, 12, 12, 11, 14, 13, 14, 12, 13, 11, 4, 4, 5, 5, 5, 8, 9, 9, 9, 9, 9, 7, 8, 7, 5, 5, 7, 7, 7, 7, 7, 7, 11, 12, 12, 12, 11, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4 ]
[ 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 4, 4, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 3, 3, 0, 2, 2, 0, 0, 3, 3, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 3, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 2, 1, 3, 3, 0, 0, 3, 3, 0, 2, 2, 0, 0, 3, 3, 4, 4, 4, 0, 0, 5, 5, 4, 4, 4, 3, 4, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 5, 5, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 5, 5, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 5, 5, 0, 2, 2, 2, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 3, 3, 3, 0, 2, 2, 0, 0, 5, 5, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 5, 5, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2 ]
[ 465, 3363, 203, 465, 2322, 203, 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 4530, 280, 330, 35, 32, 40, 25, 203, 3222, 81, 2310, 81, 878, 280, 1524, 6537, 106, 4865, 438, 312, 7823, 34055, 15053, 26059, 461, 12414, 11741, 32, 203, 9554, 44, 203, 720, 1169, 12414, 26059, 32, 203, 4587, 16293, 7661, 436, 1169, 2738, 956, 732, 32, 203, 609, 28453, 5168, 372, 7588, 38928, 32, 203, 936, 36247, 26059, 436, 1346, 5808, 4558, 225, 35, 43, 43, 43, 32, 203, 14350, 7692, 436, 1591, 12414, 26, 327, 45, 36137, 372, 1236, 68, 547, 203, 6720, 5168, 645, 1591, 12414, 372, 1604, 32, 463, 20327, 225, 35, 34, 22, 25, 372, 1236, 68, 547, 203, 12100, 15455, 32, 203, 12100, 4467, 32, 203, 16944, 44, 1913, 555, 1444, 106, 31, 2958, 32, 21168, 32, 716, 33, 272, 33, 5323, 33, 8795, 32, 916, 203, 11663, 44, 1678, 555, 933, 32, 508, 33, 13117, 4997, 29382, 33, 1444, 106, 31, 2958, 203, 2993, 203, 5522, 26, 284, 636, 1057, 1444, 106, 31, 2958, 370, 284, 1503, 47, 4530, 30, 284, 4081, 1057, 13117, 4354, 29382, 29293, 689, 447, 10093, 32, 19547, 6418, 284, 4081, 81, 1935, 1057, 7656, 50, 9441, 978, 29382, 32, 508, 370, 284, 1984, 1057, 641, 555, 933, 32, 508, 33, 13117, 4997, 29382, 33, 1444, 106, 31, 2958, 370, 284, 3048, 1057, 11453, 15053, 26059, 461, 12414, 11741, 6418, 284, 1946, 81, 2310, 47, 3222, 81, 2310, 81, 878, 30, 284, 7599, 47, 1809, 81, 5043, 26, 10444, 11414, 4882, 370, 330, 4882, 3424, 16578, 284, 2305, 81, 1320, 81, 605, 47, 1815, 30, 284, 2443, 81, 13966, 6020, 291, 330, 9698, 370, 291, 330, 6656, 1260, 370, 284, 2505, 284, 43397, 6020, 291, 330, 1428, 4611, 37393, 5467, 2037, 36646, 370, 291, 330, 25900, 1171, 2037, 6642, 40201, 370, 291, 330, 3786, 2037, 546, 2123, 46573, 2037, 7131, 1177, 370, 291, 330, 23560, 6633, 2037, 4865, 370, 291, 330, 23560, 6633, 2037, 4865, 2037, 225, 36, 32, 41, 370, 291, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 370, 291, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 37, 370, 291, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 38, 370, 291, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 39, 370, 291, 330, 8294, 2037, 3859, 15612, 2037, 21554, 1649, 370, 284, 2505, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 3, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 5, 5, 5, 5, 5, 3, 3, 3, 4, 6, 6, 6, 6, 8, 7, 10, 10, 8, 10, 10, 10, 3, 3, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 5, 7, 7, 5, 5, 7, 7, 7, 5, 5, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 1, 0, 0, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 13, 2, 2, 2, 2, 2, 1, 1, 1, 15, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 17, 2, 1, 1, 1, 0, 0, 19, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 21, 2, 2, 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, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 2116, 505, 280, 330, 10004, 31, 8278, 742, 25, 203, 465, 5237, 203, 13068, 26, 3731, 27, 203, 3731, 32, 37329, 8644, 463, 3310, 42, 683, 203, 418, 4300, 1120, 1188, 17776, 1432, 203, 1070, 399, 58, 6243, 2922, 1188, 399, 58, 6243, 2922, 203, 465, 2322, 203, 823, 399, 58, 2136, 26, 9263, 32, 2136, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 30, 1780, 711, 291, 9226, 32, 2136, 3667, 1664, 3207, 784, 30, 2935, 30, 429, 35, 30, 1780, 30, 9226, 32, 2044, 2731, 30, 9226, 32, 1250, 26, 39, 34, 34, 30, 225, 37, 42, 34, 471, 3775, 1418, 47, 9263, 32, 5807, 81, 13217, 81, 22216, 5304, 308, 9263, 32, 613, 3364, 81, 33425, 523, 9226, 32, 3459, 2331, 8484, 81, 13946, 490, 3775, 588, 1621, 47, 9263, 32, 3674, 635, 885, 27126, 26, 36, 39, 34, 27, 291, 630, 32, 1517, 1632, 280, 630, 32, 1922, 30575, 346, 291, 630, 32, 1517, 1632, 32, 885, 18745, 16730, 463, 1092, 683, 291, 630, 32, 1517, 1632, 32, 885, 4140, 1534, 26, 36, 27, 291, 630, 32, 1517, 1632, 32, 885, 1533, 36543, 37309, 36, 30, 429, 35, 1130, 588, 21896, 10469, 7208, 36, 44, 35, 275, 296, 32, 1922, 24835, 346, 291, 20047, 32, 1103, 11145, 346, 291, 20047, 32, 1103, 5291, 3653, 26, 35, 30, 9226, 32, 1658, 463, 7468, 32, 1645, 370, 9226, 32, 30069, 81, 2319, 81, 17189, 547, 39993, 9379, 1026, 313, 31518, 4982, 392, 7746, 291, 20047, 32, 1103, 11145, 346, 291, 20047, 32, 1103, 5291, 3653, 26, 36, 30, 9226, 32, 1658, 463, 11676, 332, 32, 1645, 370, 9226, 32, 30069, 81, 2319, 81, 17189, 547, 39993, 9379, 1026, 313, 3530, 243, 22569, 4982, 392, 7746, 291, 20047, 32, 6877, 518, 346, 225, 588, 40760, 14170, 19360, 33047, 291, 9226, 32, 32830, 81, 15976, 26, 784, 30, 647, 9226, 32, 32830, 81, 15976, 26, 784, 30, 225, 36, 30, 630, 32, 1484, 15494, 332, 27, 291, 630, 32, 4710, 280, 9226, 32, 3669, 26, 784, 27, 291, 630, 32, 4710, 32, 885, 6243, 2922, 26, 10978, 6243, 2922, 26, 784, 490, 291, 630, 32, 2186, 280, 9226, 32, 3713, 26, 35, 42, 30, 9226, 32, 12210, 30, 9226, 32, 31388, 30, 9226, 32, 18863, 27, 291, 630, 32, 4347, 1215, 280, 9226, 32, 5972, 1031, 26, 784, 32, 4710, 30, 429, 35, 30, 1044, 25, 6817, 14590, 5666, 249, 5666, 140, 4314, 17254, 370, 3400, 4310, 35, 41, 42, 30, 225, 36, 42, 34, 490, 291, 630, 32, 4347, 1215, 32, 885, 3713, 26, 784, 32, 2186, 27, 291, 630, 32, 4710, 32, 3726, 26, 9263, 32, 32830, 81, 10981, 81, 18362, 30, 630, 32, 1484, 6545, 1669, 27, 291, 630, 32, 4710, 32, 3726, 26, 9263, 32, 32830, 81, 42448, 81, 18362, 30, 630, 32, 1484, 16204, 1669, 27, 291, 630, 32, 4710, 32, 3726, 26, 9263, 32, 32830, 81, 13813, 1016, 30, 630, 32, 1484, 16262, 27, 284, 665, 2704, 6545, 1669, 26, 784, 30, 1692, 711, 291, 588, 1216, 1692, 32, 3679, 1622, 3211, 346, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 0, 3, 3, 4, 3, 0, 4, 3, 4, 4, 3, 5, 5, 5, 0, 2, 1, 2, 0, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 7, 7, 9, 7, 7, 7, 7, 8, 9, 9, 7, 7, 9, 10, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 7, 7, 8, 11, 10, 11, 11, 11, 11, 11, 9, 9, 13, 12, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 13, 13, 10, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 9, 9, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 10, 8, 8, 10, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 6, 6, 6, 2, 2, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 9, 10, 9, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 8, 8, 8, 8, 8, 7, 5, 7, 7, 2, 2, 2, 6, 6, 6, 2, 2, 2, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 5, 7, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 7, 7, 7, 7, 7, 6, 8, 7, 8, 8, 8, 4, 4, 6, 5, 5, 3, 6, 6, 6, 5, 3, 3, 3, 7, 6, 7, 5, 6, 6, 5, 7, 7, 7, 7, 8, 8, 8, 8, 7, 3, 3, 3, 5, 5, 4, 5, 3, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 7, 3, 3, 5, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 8, 7, 8, 3, 3, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 6, 6, 7, 3, 3, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 3, 3, 3, 7, 7, 6, 7, 6, 7, 7, 5, 7, 7, 7, 3, 4, 2, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 4, 1, 0, 5, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 7, 7, 0, 8, 8, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 13, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 0, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 4, 0, 2, 2, 4, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 0, 0, 2, 2, 2, 2, 2, 10, 10, 4, 4, 0, 0, 2, 1, 1, 1, 0, 5, 2, 2, 2, 0, 0, 0, 3, 3, 12, 0, 2, 2, 1, 12, 12, 12, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 12, 12, 12, 0, 0, 4, 2, 12, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 12, 12, 0, 7, 2, 2, 2, 2, 2, 2, 12, 12, 12, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 3, 12, 12, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 12, 12, 12, 12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 12, 12, 12, 12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 2, 2, 2, 2, 2, 12, 12, 12, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 12, 14, 4, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 7138, 203, 465, 3738, 203, 465, 15798, 203, 1070, 7562, 81, 9769, 32, 5665, 81, 1055, 1188, 21371, 1284, 203, 465, 7562, 81, 23373, 203, 1070, 7562, 81, 23373, 1188, 2098, 35984, 30, 438, 81, 2630, 30, 438, 81, 668, 30, 10652, 81, 1495, 30, 42602, 30, 372, 81, 605, 30, 438, 81, 605, 30, 438, 81, 11374, 203, 1070, 7562, 81, 9666, 1188, 438, 81, 878, 30, 8529, 81, 45725, 30, 1932, 203, 1070, 7562, 81, 8288, 1188, 48035, 30, 2662, 30, 28182, 81, 3893, 203, 1070, 7562, 81, 8288, 32, 8352, 1188, 11764, 81, 2387, 30, 15358, 203, 465, 7562, 81, 3812, 203, 1070, 7562, 81, 3812, 1188, 438, 81, 2171, 30, 1245, 35, 34, 203, 1070, 7562, 81, 5571, 1188, 18719, 203, 823, 506, 25274, 7233, 26, 18986, 32, 7233, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 15798, 32, 7233, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 27, 291, 630, 32, 1536, 81, 15778, 47, 35, 39, 284, 665, 739, 81, 1536, 81, 15778, 26, 784, 30, 15307, 711, 291, 630, 32, 1536, 81, 15778, 47, 15778, 284, 665, 1201, 33458, 1324, 26, 784, 30, 894, 81, 853, 30, 2799, 30, 3124, 47, 2521, 30, 16105, 47, 2521, 30, 15307, 47, 2521, 30, 7715, 47, 2521, 711, 291, 415, 7715, 556, 16105, 44, 324, 1201, 33458, 1324, 26, 858, 81, 853, 30, 2799, 30, 3124, 47, 2076, 30, 16105, 47, 17980, 30, 15307, 47, 15778, 30, 7715, 47, 6558, 27, 291, 813, 44, 324, 1201, 33458, 1324, 26, 858, 81, 853, 30, 2799, 30, 3124, 47, 2076, 30, 16105, 47, 17980, 30, 15307, 47, 331, 35984, 26, 15778, 30, 630, 32, 1536, 81, 15778, 471, 7715, 47, 6558, 27, 284, 665, 1201, 1324, 26, 784, 30, 894, 81, 853, 30, 2799, 30, 3124, 47, 2521, 30, 16105, 47, 2521, 30, 15307, 47, 2521, 30, 7715, 47, 2521, 711, 291, 630, 32, 47628, 26, 858, 81, 853, 30, 2799, 30, 3124, 47, 2076, 30, 16105, 47, 17980, 30, 15307, 47, 15778, 30, 7715, 47, 6558, 27, 284, 665, 1201, 22101, 26, 784, 30, 3708, 47, 2521, 30, 667, 47, 2521, 30, 319, 1132, 30, 1115, 5321, 711, 291, 415, 667, 438, 1665, 44, 324, 442, 18828, 1222, 26, 784, 30, 3708, 47, 14211, 556, 3268, 27, 291, 623, 18828, 1222, 26, 784, 30, 3708, 47, 14211, 711, 324, 667, 2740, 1132, 30, 1115, 5321, 27, 203, 823, 18828, 1222, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 458, 30, 3708, 47, 984, 711, 291, 630, 32, 578, 280, 458, 291, 630, 32, 14211, 280, 3708, 284, 665, 1156, 1403, 3207, 784, 711, 291, 3097, 284, 665, 1156, 4775, 3207, 784, 30, 13489, 81, 681, 30, 13489, 81, 695, 30, 13489, 81, 7163, 711, 291, 415, 646, 13489, 81, 695, 44, 324, 2662, 32, 731, 440, 33999, 600, 1048, 657, 291, 296, 280, 48035, 32, 4071, 26, 14806, 81, 695, 27, 291, 415, 6937, 26, 784, 32, 14211 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 9, 9, 9, 10, 10, 10, 9, 9, 9, 9, 10, 11, 9, 9, 10, 11, 9, 9, 10, 11, 9, 9, 10, 11, 9, 5, 5, 6, 6, 6, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 11, 12, 10, 10, 11, 12, 10, 10, 11, 13, 13, 13, 14, 13, 13, 14, 15, 15, 15, 13, 10, 11, 12, 10, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 7, 8, 8, 8, 7, 7, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 9, 9, 10, 9, 9, 10, 12, 11, 11, 9, 4, 4, 5, 9, 9, 10, 9, 9, 10, 11, 9, 5, 5, 9, 11, 9, 9, 11, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 7, 7, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 4, 4, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 5, 7, 9, 8, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 0, 9, 9, 0, 10, 10, 0, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 0, 12, 12, 0, 0, 12, 12, 0, 13, 13, 1, 1, 2, 0, 1, 2, 2, 13, 13, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 2, 1, 1, 11, 2, 1, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 11, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 2, 1, 1, 11, 2, 1, 4, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 1, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 14, 14, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 1, 2 ]
[ 465, 1631, 83, 32, 28988, 619, 33382, 203, 1070, 447, 38, 1188, 447, 38, 30, 66, 38, 984, 203, 465, 2322, 30, 281, 14686, 274, 203, 1070, 35094, 1188, 7360, 203, 589, 298, 38, 81, 371, 14792, 14022, 26, 10447, 30, 319, 1132, 711, 284, 803, 1765, 280, 11216, 284, 298, 38, 280, 447, 38, 346, 284, 1596, 44, 291, 298, 38, 32, 3517, 346, 284, 2940, 44, 291, 33382, 32, 8853, 3728, 26, 1311, 280, 313, 1834, 5538, 392, 4269, 280, 313, 24559, 392, 1474, 280, 313, 12014, 372, 5008, 372, 1292, 5538, 2145, 7144, 291, 442, 284, 415, 11216, 610, 1665, 44, 203, 202, 10447, 280, 33382, 32, 761, 26, 99, 280, 2933, 30, 9641, 558, 280, 2933, 27, 284, 7652, 3839, 280, 1605, 284, 1596, 44, 203, 202, 2285, 280, 298, 38, 32, 1945, 26, 313, 1580, 392, 4825, 97, 20, 829, 77, 34, 79, 203, 202, 1580, 280, 1374, 32, 371, 440, 1486, 657, 203, 202, 5632, 280, 1374, 32, 371, 440, 6444, 657, 15773, 202, 98, 38, 32, 496, 280, 7423, 203, 202, 98, 38, 32, 1580, 280, 2043, 284, 2940, 44, 291, 33382, 32, 8853, 3728, 26, 1311, 280, 313, 1834, 5538, 392, 4269, 280, 313, 24559, 392, 1474, 280, 313, 12014, 372, 4224, 2043, 1374, 2471, 7144, 284, 1596, 44, 291, 1672, 974, 280, 298, 38, 32, 1945, 81, 8791, 26, 10447, 5594, 34, 79, 291, 2196, 14022, 280, 629, 26, 1772, 974, 710, 8791, 14908, 3490, 291, 9143, 366, 2062, 280, 298, 38, 32, 1945, 81, 2536, 26, 1772, 974, 710, 9059, 366, 974, 3490, 77, 34, 79, 291, 9143, 366, 974, 280, 9143, 366, 2062, 710, 9059, 366, 974, 785, 291, 9143, 366, 14022, 280, 629, 26, 9059, 366, 2062, 710, 9882, 3490, 20216, 415, 2196, 14022, 863, 9143, 366, 14022, 44, 324, 7652, 3839, 32, 1689, 26, 9059, 366, 974, 27, 291, 1169, 21777, 280, 1605, 291, 10647, 280, 33382, 32, 761, 26, 99, 280, 2933, 30, 4121, 280, 2933, 27, 291, 436, 4121, 328, 10647, 44, 324, 11815, 2084, 280, 33382, 32, 761, 26, 3576, 30, 2678, 280, 2933, 30, 4121, 280, 2933, 27, 324, 1169, 21777, 32, 1689, 26, 3576, 27, 324, 1169, 21777, 32, 1689, 26, 15377, 2084, 27, 291, 436, 2488, 328, 1169, 21777, 44, 324, 1672, 974, 280, 298, 38, 32, 1945, 81, 8791, 26, 612, 5594, 34, 79, 324, 2196, 2084, 14022, 280, 629, 26, 1772, 974, 710, 8791, 14908, 3490, 4288, 9143, 366, 2084, 2062, 280, 298, 38, 32, 1945, 81, 2536, 26, 1772, 974, 710, 9059, 366, 974, 3490, 77, 34, 79, 324, 9143, 366, 974, 280, 9143, 366, 2084, 2062, 710, 9059, 366, 974, 785, 324, 9143, 366, 2084, 14022, 280, 629, 26, 9059, 366, 2084, 2062, 710, 9882, 3490, 324, 415, 2196, 2084, 14022, 863, 9143, 366, 2084, 14022, 44, 400, 7652, 3839, 32, 1689, 26, 9059, 366, 974, 27, 291, 415, 2069, 26, 5207, 3839, 27, 848, 225, 34, 44, 324, 1474, 280, 313, 1318, 2412, 2276, 884, 646, 821, 6615, 14121, 3491, 96, 78, 96, 20, 324, 436, 803, 328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 3, 1, 1, 3, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 2, 1, 1, 5, 4, 4, 2, 2, 5, 4, 4, 6, 6, 2, 2, 3, 3, 3, 8, 7, 8, 7, 3, 3, 4, 4, 4, 8, 9, 9, 8, 10, 9, 9, 11, 11, 11, 8, 9, 9, 11, 11, 8, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 2, 2, 3, 4, 4, 3, 3, 3, 7, 6, 6, 8, 9, 8, 10, 9, 9, 8, 8, 10, 9, 9, 8, 2, 2, 5, 4, 4, 2, 2, 3, 3, 3, 7, 6, 6, 10, 9, 10, 9, 9, 11, 11, 9, 11, 11, 9, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 4, 4, 8, 8, 7, 8, 6, 6, 4, 4, 8, 8, 7, 8, 6, 6, 3, 3, 4, 4, 4, 8, 9, 9, 8, 10, 9, 9, 11, 11, 11, 8, 9, 9, 11, 11, 8, 9, 9, 11, 11, 11, 11, 11, 11, 11, 2, 2, 3, 3, 3, 7, 6, 6, 10, 9, 10, 10, 10, 9, 10, 9, 8, 7, 4, 4, 7, 6, 6, 8, 10, 10, 9, 11, 11, 11, 4, 4, 7, 7, 6, 6, 10, 9, 10, 10, 10, 9, 11, 11, 10, 12, 12, 12, 12, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 7, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 8, 10, 10, 10, 9, 11, 11, 4, 4, 5, 7, 6, 6, 7, 7, 5, 5, 5, 10, 9, 10, 9, 10, 10, 10, 9, 4, 4, 7, 6, 6, 4, 4, 6, 6, 8, 9, 8, 10, 9, 9, 8, 8, 9, 9, 8, 4, 4, 5, 5, 5, 5, 5, 5, 9, 8, 8, 10, 11, 10, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 6, 6, 10, 9, 10, 9, 10, 9, 6, 6, 10, 9, 10, 9, 10, 10, 9, 4, 4, 5, 5, 5, 6, 5, 5, 5, 9, 8, 8, 12, 11, 12, 12, 12, 11, 12, 11, 10, 9, 6, 6, 9, 9, 8, 8, 10, 12, 12, 11, 13, 13, 13, 6, 6, 9, 9, 9, 8, 8, 12, 11, 12, 12, 12, 11, 13, 13, 12, 14, 14, 14, 14, 9, 10, 9, 6, 6, 9, 9, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 6, 6, 9, 9, 9, 8, 8, 10, 12, 12, 12, 12, 11, 13, 13, 6, 6, 7, 9, 9, 8, 8, 9, 9, 9, 7, 7, 7, 12, 11, 12, 11, 12, 12, 12, 11, 4, 4, 5, 8, 9, 9, 8, 6, 6, 7, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 6, 6, 7, 7 ]
[ 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 4, 4, 2, 2, 2, 0, 0, 2, 1, 2, 2, 3, 3, 3, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 3, 3, 1, 4, 4, 0, 0, 0, 4, 4, 5, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 5, 5, 3, 3, 3, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 5, 0, 1, 1, 2, 2, 5, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 1, 2, 2, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 5, 5, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 2, 2, 9, 9, 9, 3, 9, 9, 9, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 5, 5, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 5, 5, 5, 0, 0, 1, 1, 2, 2, 2, 5, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 10, 1, 1, 1, 1, 1, 1, 2, 10, 10, 10, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1 ]
[ 1070, 638, 1711, 1188, 5245, 203, 1070, 638, 2963, 1188, 622, 2963, 203, 1070, 638, 7934, 4290, 1711, 1188, 1487, 7934, 4290, 1711, 203, 823, 4000, 4290, 1711, 26, 1711, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4070, 30, 3578, 4290, 1711, 711, 291, 5245, 3667, 1664, 3207, 784, 27, 291, 630, 32, 3550, 280, 4070, 291, 630, 32, 4640, 4290, 1711, 280, 3578, 4290, 1711, 291, 630, 32, 3959, 280, 1665, 284, 665, 5742, 26, 784, 711, 291, 630, 32, 3959, 280, 630, 1114, 371, 4290, 346, 291, 415, 630, 32, 3959, 610, 630, 32, 3550, 32, 1536, 4290, 44, 324, 1459, 463, 11394, 1974, 1244, 6274, 683, 324, 630, 32, 4775, 1227, 280, 429, 35, 324, 442, 291, 630, 32, 4640, 4290, 1711, 32, 1877, 280, 2933, 291, 630, 32, 4640, 4290, 1711, 32, 3959, 280, 630, 32, 3959, 291, 630, 32, 4640, 4290, 1711, 32, 4526, 346, 284, 665, 617, 371, 4290, 26, 784, 711, 291, 415, 630, 32, 3959, 438, 1665, 44, 324, 415, 630, 32, 3550, 32, 1700, 4290, 438, 1665, 44, 400, 442, 630, 32, 3550, 32, 1536, 4290, 324, 813, 44, 400, 442, 630, 32, 3550, 32, 1700, 4290, 291, 813, 44, 324, 442, 630, 32, 3959, 203, 589, 1487, 2333, 4290, 1711, 26, 725, 711, 284, 4070, 280, 622, 2963, 26, 725, 27, 284, 3578, 4290, 1711, 280, 1487, 7934, 4290, 1711, 26, 725, 27, 284, 1974, 4290, 1711, 280, 4000, 4290, 1711, 26, 3550, 30, 3578, 4290, 1711, 27, 284, 442, 1974, 4290, 1711, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 8, 4, 4, 5, 7, 8, 6, 6, 8, 9, 7, 8, 8, 5, 5, 5, 9, 11, 11, 11, 11, 11, 6, 6, 9, 10, 10, 8, 8, 10, 6, 6, 4, 4, 8, 9, 9, 9, 7, 8, 6, 6, 4, 4, 8, 9, 9, 9, 7, 8, 6, 6, 7, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 10, 11, 9, 10, 10, 8, 8, 7, 7, 7, 9, 11, 12, 10, 11, 11, 7, 7, 8, 8, 8, 10, 12, 13, 11, 12, 12, 5, 5, 6, 6, 6, 8, 9, 10, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 7, 6, 6, 7, 7, 6, 2, 2, 3, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 4, 4, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 0, 0, 1, 3, 3, 4, 4, 0, 2, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 1, 2, 2, 0, 0, 4, 4, 4, 0, 1, 2, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 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 ]
[ 1070, 11171, 1188, 11171, 38, 203, 1070, 30902, 32, 37995, 101, 32, 19577, 1188, 14294, 203, 1070, 4958, 97, 32, 1262, 32, 1199, 1188, 3082, 203, 1070, 4958, 97, 32, 1262, 32, 1199, 32, 41204, 1188, 4354, 1428, 2759, 203, 1070, 4958, 97, 32, 1040, 32, 3868, 1188, 22806, 1428, 2759, 203, 1070, 4958, 97, 32, 1040, 32, 91, 35, 42, 96, 1188, 498, 81, 203, 1070, 4958, 97, 32, 1040, 32, 881, 4044, 1188, 31170, 81, 2433, 203, 1070, 4958, 97, 32, 1040, 32, 800, 1188, 2179, 81, 13707, 203, 823, 14745, 9982, 1078, 26, 22865, 1428, 2759, 711, 284, 1156, 23179, 505, 280, 428, 62, 81, 463, 10708, 1425, 498, 81, 463, 24898, 1425, 498, 81, 463, 5484, 1441, 12357, 284, 11350, 280, 225, 34, 284, 16187, 280, 225, 35, 284, 4497, 1441, 280, 225, 36, 203, 823, 27540, 38793, 26, 1199, 32, 1243, 711, 284, 1156, 34426, 505, 280, 330, 5817, 34765, 25, 284, 1156, 1274, 81, 1132, 505, 280, 308, 1199, 32, 2140, 9012, 463, 26, 1293, 280, 301, 1293, 1748, 1878, 308, 15265, 81, 314, 2756, 1181, 9905, 11244, 638, 1643, 26, 1293, 47, 38793, 1078, 32, 27190, 471, 636, 1057, 15265, 81, 1293, 1425, 2855, 3082, 32, 10189, 9012, 463, 15265, 81, 599, 81, 314, 370, 330, 1935, 1425, 2855, 5053, 3968, 950, 330, 1567, 81, 15265, 18143, 284, 804, 280, 3082, 32, 2137, 26, 291, 3082, 32, 3061, 30, 291, 7458, 81, 678, 47, 1815, 284, 829, 284, 11171, 280, 3082, 32, 2137, 26, 291, 14294, 30, 291, 1650, 47, 1815, 30, 291, 5799, 47, 1815, 30, 291, 12607, 47, 2700, 30, 291, 1244, 47, 5962, 44, 596, 26, 6572, 38, 1157, 284, 829, 284, 14539, 81, 599, 81, 314, 280, 3082, 32, 2137, 26, 291, 3082, 32, 3061, 30, 291, 3082, 32, 13343, 463, 1567, 81, 15265, 32, 8538, 32, 314, 1425, 291, 1650, 47, 1815, 30, 291, 12607, 47, 2700, 284, 829, 284, 14539, 81, 314, 280, 3082, 32, 2137, 26, 291, 3082, 32, 3061, 30, 291, 3082, 32, 13343, 463, 1567, 81, 15265, 32, 12076, 31474, 32, 314, 1425, 291, 1650, 47, 1815, 30, 291, 5799, 47, 1815, 30, 291, 12607, 47, 1815, 284, 829, 284, 1603, 280, 3082, 32, 2137, 26, 291, 4354, 1428, 2759, 26, 38793, 1078, 471, 291, 12607, 47, 2700, 30, 291, 1244, 47, 38793, 1078, 32, 9671, 284, 829, 284, 7116, 81, 1803, 7726, 280, 3082, 32, 2137, 26, 291, 3082, 32, 4709, 30, 291, 12607, 47, 2700, 30, 291, 1244, 47, 2700, 284, 829, 284, 4096, 280, 3082, 32, 2137, 26, 291, 3082, 32, 652, 30, 291, 12607, 47, 2700, 284, 829, 284, 1932, 81, 426, 280, 3082, 32, 2137, 26, 291, 3082, 32, 652, 30, 291, 12607, 47, 2700, 284, 829, 284, 2401, 81, 426, 280, 3082, 32, 2137, 26, 291, 3082, 32, 652, 30, 291, 12607, 47, 2700, 284, 829, 284, 19964, 367, 280, 3082, 32, 2137, 26, 291, 3082, 32, 652, 30, 291, 12607, 47, 2700, 284, 829, 284, 14539, 280, 3082, 32, 19115, 26, 291, 330, 11512, 370, 291, 13671, 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, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 9, 9, 5, 7, 7, 9, 9, 5, 7, 7, 9, 9, 9, 2, 2, 4, 4, 5, 2, 2, 4, 4, 5, 2, 2, 5, 4, 4, 5, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 8, 7, 8, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 9, 11, 10, 12, 12, 11, 12, 9, 7, 8, 10, 10, 10, 10, 5, 5, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 5, 5, 9, 9, 7, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 8, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 8, 8, 10, 12, 12, 12, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 8, 6, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 8, 6, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 9, 9, 8, 6, 6, 7, 8, 6, 6, 6, 7, 9, 9, 8, 9, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 5, 4, 4, 6, 7, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 8, 8, 6, 6, 7, 8 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 4, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 4, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 2, 0, 9, 9, 1, 2, 0, 1, 2, 2, 9, 9, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 3, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 3, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 2, 2, 1, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2 ]
[ 465, 2322, 203, 465, 16672, 203, 465, 19571, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 5237, 1188, 6184, 203, 1070, 4684, 1188, 319, 203, 589, 372, 81, 1055, 26, 101, 711, 284, 963, 668, 280, 1149, 346, 284, 14771, 35, 280, 309, 32, 2998, 35052, 284, 1596, 44, 291, 436, 1623, 328, 14771, 35, 44, 324, 14771, 36, 280, 1623, 32, 2998, 463, 497, 683, 324, 1477, 280, 629, 26, 11180, 36, 77, 34, 997, 2998, 14728, 11968, 35, 1130, 324, 943, 280, 629, 26, 11180, 36, 77, 35, 997, 2998, 14728, 11968, 35, 1130, 415, 2069, 26, 11180, 36, 27, 848, 225, 35, 813, 1477, 324, 963, 668, 32, 8233, 2009, 91, 429, 225, 35, 436, 595, 328, 2155, 26, 1366, 30, 943, 474, 225, 35, 14829, 284, 2940, 10091, 44, 291, 1459, 26, 101, 27, 284, 442, 963, 668, 203, 589, 622, 81, 69, 10972, 26, 1251, 711, 284, 7777, 307, 280, 1149, 346, 284, 1596, 44, 291, 436, 7777, 328, 1541, 32, 1809, 440, 7883, 1347, 16288, 1895, 1731, 440, 7883, 1347, 311, 10280, 324, 7777, 307, 32, 1689, 1162, 4636, 32, 371, 440, 1286, 81, 833, 29056, 2113, 656, 372, 81, 1055, 26, 4636, 32, 371, 440, 662, 12941, 656, 7777, 32, 371, 440, 853, 14036, 284, 2940, 29316, 44, 291, 3097, 284, 442, 7777, 307, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1845, 280, 16672, 32, 26633, 346, 284, 1845, 32, 669, 81, 2669, 440, 1131, 2536, 392, 827, 47, 466, 30, 34292, 27789, 370, 528, 3049, 347, 2593, 1509, 2276, 657, 284, 1845, 32, 669, 81, 2669, 10359, 97, 392, 7915, 2024, 761, 392, 827, 47, 466, 30, 1244, 347, 4636, 81, 605, 32, 24088, 392, 528, 3049, 347, 426, 432, 1688, 19571, 657, 284, 1845, 32, 669, 81, 2669, 10359, 83, 392, 7915, 43326, 392, 2125, 347, 2157, 81, 1508, 392, 528, 3049, 347, 539, 415, 5592, 2276, 884, 30395, 341, 33, 12425, 3099, 657, 284, 1256, 1132, 280, 1845, 32, 2208, 81, 1132, 346, 284, 595, 280, 225, 34, 284, 27619, 280, 8862, 11467, 346, 284, 436, 18146, 328, 1256, 1132, 32, 1131, 2536, 44, 291, 3693, 2388, 280, 2971, 972, 32, 2208, 26, 10555, 547, 371, 2388, 346, 291, 1672, 426, 30, 1447, 280, 2322, 32, 983, 32, 48271, 26, 10555, 27, 291, 1459, 440, 9452, 392, 1672, 426, 474, 20550, 657, 291, 3523, 81, 1366, 280, 595, 291, 436, 6927, 328, 3693, 2388, 32, 1731, 440, 389, 10280, 324, 6927, 81, 1366, 280, 595, 324, 1672, 1581, 280, 313, 286, 20, 415, 313, 286, 20, 328, 6927, 32, 371, 440, 389, 81, 314, 657, 813, 313, 272, 20, 324, 436, 15430, 328, 6927, 32, 1731, 440, 5914, 10280, 400, 4618, 81, 1366, 280, 595, 400, 436, 20008, 328, 15430, 32, 1731, 440, 13586, 10280, 528, 27619, 32, 8395, 32, 1689, 26, 1763, 26, 13586, 32, 878, 30, 20008, 32, 22765, 30, 595, 30, 16329, 1672, 1581, 30, 3523, 81, 1366, 490, 528, 595, 1454, 225, 35, 400, 4618, 81, 416, 280, 595, 400, 27619, 32, 32203, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 5, 5, 5, 6, 5, 5, 5, 9, 8, 8, 10, 11, 10, 12, 12, 6, 6, 8, 8, 10, 15, 15, 14, 15, 14, 14, 13, 15, 12, 11, 6, 6, 8, 8, 11, 16, 16, 15, 16, 15, 15, 14, 16, 13, 12, 9, 9, 12, 13, 13, 12, 10, 10, 11, 9, 9, 6, 6, 10, 9, 10, 9, 12, 11, 11, 12, 10, 11, 11, 11, 13, 14, 13, 13, 14, 14, 15, 13, 3, 3, 4, 4, 4, 4, 8, 9, 8, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 2, 2, 3, 3, 3, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 8, 7, 9, 9, 9, 9, 5, 5, 10, 9, 10, 9, 13, 12, 13, 12, 14, 14, 14, 14, 14, 10, 10, 12, 12, 12, 15, 14, 15, 14, 16, 16, 10, 10, 12, 13, 12, 14, 14, 3, 3, 4, 4, 4, 4, 2, 2, 3, 4, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 7, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 5, 6, 7, 5, 5, 6, 8, 5, 5, 6, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 5, 6, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 4, 4, 5, 2, 2, 4, 4, 6, 6, 2, 2, 3, 3, 3, 5, 4, 5, 5, 3, 3, 3, 7, 6, 6, 11, 10, 11, 10, 11, 10, 9, 9, 8, 4, 4, 8, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 9, 9, 7, 9, 8, 8, 10, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 8, 7, 8, 7, 9, 9, 5, 5, 9, 9, 8, 8, 6, 6, 9, 8, 8, 11, 11, 9, 9, 12, 12, 10, 10, 12, 13, 12, 14, 14, 14, 14, 9, 9, 11, 11, 6, 6, 7, 7, 7, 9, 10, 9, 11, 11, 7, 7, 11, 11, 10, 10, 8, 8, 9, 9, 9, 11, 12, 11, 13, 13, 9, 9, 14, 15, 13, 14, 13, 15, 15, 17, 16, 17, 15, 15, 16, 17, 15, 15, 15, 15, 15, 16, 15, 15, 16, 16, 15, 10, 10, 12, 12, 13, 8, 8, 11, 11, 10, 10, 8, 8, 12, 13, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 2, 2, 2, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 5, 5, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 5, 5, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 3, 3, 2, 1, 2, 2, 3, 3, 3, 3, 1, 1, 1, 4, 4, 3, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 3, 3, 3, 3, 4, 4, 2, 1, 0, 8, 8, 0, 0, 1, 1, 1, 1, 8, 8, 0, 0, 0, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 5, 2, 1, 1, 7, 1, 1, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 1, 3, 3, 7, 7, 7, 0, 3, 2, 2, 7, 7, 7, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 5, 5, 1, 1, 2, 1, 0, 3, 3, 2, 5, 5, 0, 0, 0, 0, 5, 5, 4, 4, 4, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 5, 5, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 5, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 5, 5, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 1, 7, 1, 1, 9, 9, 1, 5, 5, 0, 0, 2, 5, 5, 0, 0, 0, 0, 5, 5, 0, 2, 0 ]
[ 1070, 11631, 1501, 1188, 11740, 203, 1070, 11631, 1501, 32, 7980, 1188, 18792, 203, 1070, 638, 1648, 1188, 1156, 1648, 505, 261, 203, 81, 19814, 81, 5834, 280, 2149, 203, 589, 617, 10122, 81, 311, 4254, 318, 26, 6068, 711, 284, 436, 816, 3434, 81, 681, 30, 11595, 328, 18792, 32, 40957, 2176, 19814, 81, 5834, 711, 291, 415, 7247, 328, 816, 3434, 81, 681, 44, 324, 442, 11595, 284, 1048, 280, 313, 1061, 17360, 5016, 827, 44, 904, 101, 20, 904, 7247, 284, 3636, 10091, 26, 731, 27, 203, 589, 617, 10122, 81, 6728, 26, 46206, 81, 681, 711, 284, 415, 816, 3434, 81, 681, 328, 617, 19814, 81, 5834, 44, 291, 442, 617, 19814, 81, 5834, 77, 46206, 81, 681, 79, 284, 3636, 10091, 440, 1061, 17360, 816, 3434, 44, 681, 904, 101, 20, 904, 816, 3434, 81, 681, 27, 203, 589, 11470, 81, 6728, 26, 681, 1338, 30, 1244, 47, 2521, 711, 284, 415, 827, 1338, 438, 1665, 461, 1244, 44, 291, 442, 1244, 284, 415, 6937, 26, 681, 1338, 30, 18792, 32, 800, 81, 2516, 711, 291, 442, 617, 10122, 81, 6728, 26, 681, 1338, 27, 284, 415, 646, 19326, 26, 681, 1338, 30, 330, 2593, 81, 681, 7831, 291, 415, 1244, 44, 324, 442, 1244, 291, 1048, 280, 313, 1612, 904, 101, 438, 5816, 5592, 81, 681, 3879, 32, 16806, 11470, 443, 3107, 291, 3636, 10091, 26, 731, 904, 827, 26, 681, 1338, 490, 284, 415, 19326, 26, 681, 1338, 30, 330, 32896, 81, 4254, 7831, 291, 816, 3434, 81, 681, 280, 5461, 101, 6069, 101, 20, 904, 308, 681, 1338, 32, 32896, 81, 4254, 30, 827, 1338, 32, 2593, 81, 681, 27, 291, 442, 617, 10122, 81, 6728, 26, 46206, 81, 681, 27, 284, 442, 617, 10122, 81, 311, 4254, 318, 26, 681, 1338, 32, 2593, 81, 681, 27, 203, 589, 1015, 81, 6728, 26, 6933, 711, 284, 617, 19814, 81, 5834, 77, 6933, 1114, 74, 2123, 81, 2319, 79, 280, 9011, 261, 203, 589, 3909, 81, 6728, 26, 6933, 711, 284, 1015, 81, 6728, 26, 6933, 27, 284, 442, 9011, 203, 823, 23174, 26, 9244, 32, 2216, 711, 284, 665, 1156, 1664, 3207, 784, 30, 786, 711, 291, 2599, 26, 14923, 30, 630, 14585, 1664, 16369, 291, 630, 32, 853, 280, 786, 284, 477, 2433, 284, 665, 786, 26, 784, 711, 291, 442, 630, 1114, 853, 284, 477, 853, 32, 16527, 284, 665, 786, 26, 784, 30, 786, 711, 291, 630, 1114, 853, 280, 18792, 32, 878, 81, 681, 26, 853, 27, 284, 665, 372, 81, 2067, 26, 784, 30, 8752, 81, 1338, 47, 2521, 711, 291, 442, 630, 32, 853, 284, 665, 372, 81, 2665, 26, 784, 711, 291, 442, 630, 32, 853, 284, 477, 17614, 284, 665, 645, 81, 2067, 26, 6933, 30, 9011, 81, 2067, 711, 291, 442, 9011, 26, 6933, 81, 2067, 27, 284, 645, 81, 2665, 280, 645, 81, 2067, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 4, 4, 3, 3, 5, 6, 5, 6, 6, 6, 5, 3, 3, 5, 6, 6, 7, 7, 7, 5, 5, 5, 7, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 5, 5, 4, 4, 5, 5, 5, 3, 3, 3, 5, 7, 7, 7, 6, 7, 7, 7, 6, 2, 2, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 4, 2, 1, 1, 3, 6, 5, 5, 4, 4, 3, 3, 3, 5, 2, 2, 3, 5, 6, 6, 5, 5, 6, 7, 7, 7, 5, 3, 3, 5, 7, 7, 7, 7, 8, 8, 7, 2, 2, 3, 4, 6, 7, 7, 6, 6, 8, 8, 8, 8, 3, 3, 5, 5, 5, 5, 7, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 9, 8, 8, 10, 11, 11, 10, 2, 2, 3, 5, 6, 6, 5, 5, 7, 7, 7, 7, 3, 3, 7, 7, 7, 6, 6, 9, 9, 9, 9, 7, 7, 10, 10, 9, 10, 10, 10, 8, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 7, 7, 7, 7, 8, 8, 8, 7, 2, 2, 3, 5, 5, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 6, 6, 6, 5, 7, 6, 7, 7, 7, 7, 5, 4, 4, 0, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 6, 5, 6, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 8, 9, 7, 7, 9, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 6, 8, 9, 9, 9, 8, 2, 2, 5, 5, 4, 4, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 6, 6, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 6, 6, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 3, 2, 2, 2, 2, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 1, 1, 1, 4, 4, 1, 0, 9, 9, 2, 0, 1, 2, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 3, 3, 0, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 4, 4, 1, 5, 5, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 301, 284, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 284, 330, 1517, 950, 2107, 8687, 2188, 284, 330, 7095, 81, 1170, 950, 330, 11863, 25, 203, 111, 203, 24021, 2893, 280, 540, 9592, 203, 1559, 203, 1647, 44, 8508, 1396, 81, 2035, 81, 37261, 203, 4021, 81, 2310, 44, 570, 39236, 44052, 2625, 6562, 15107, 25486, 3408, 2946, 203, 2310, 44, 284, 429, 1348, 2297, 883, 526, 1654, 372, 485, 39236, 44052, 2124, 10218, 30, 4117, 30, 32347, 30, 3984, 461, 2664, 5774, 32, 2625, 15107, 25486, 3408, 2664, 32, 284, 429, 5294, 6377, 15871, 556, 4600, 2965, 432, 15107, 25486, 3408, 2664, 619, 390, 26, 12256, 547, 284, 429, 1670, 15871, 556, 4600, 2965, 432, 354, 7056, 438, 3943, 619, 390, 26, 12256, 27, 461, 390, 26, 307, 15751, 81, 12256, 27, 438, 646, 3191, 30, 1615, 322, 397, 2297, 1098, 1422, 600, 1048, 32, 284, 429, 13940, 927, 44052, 3640, 328, 225, 36, 32, 41, 1503, 32, 203, 1648, 81, 11043, 44, 225, 36, 32, 39, 203, 2116, 44, 284, 429, 2688, 91, 570, 3355, 11931, 105, 38984, 4945, 41691, 27, 203, 15965, 44, 284, 429, 4262, 2377, 225, 36, 32, 40, 284, 429, 4354, 14213, 18984, 203, 2184, 44, 334, 2813, 15751, 81, 12256, 44, 284, 3048, 44, 284, 429, 15107, 25486, 15871, 32, 284, 429, 11212, 44052, 2625, 322, 3191, 15107, 25486, 2145, 1098, 526, 4717, 32, 284, 429, 4517, 17237, 458, 2470, 30, 844, 883, 2192, 1510, 15107, 25486, 3408, 2946, 438, 4717, 415, 22422, 372, 312, 354, 7056, 32, 284, 1503, 81, 11043, 44, 225, 36, 32, 42, 334, 2519, 81, 2142, 44, 284, 3048, 44, 284, 429, 22113, 5886, 372, 11212, 884, 10043, 415, 739, 372, 390, 26, 1815, 547, 284, 1244, 44, 3177, 284, 827, 44, 1560, 284, 2129, 44, 3177, 284, 1503, 81, 11043, 44, 225, 36, 32, 43, 203, 9971, 81, 10270, 81, 9854, 44, 8508, 1396, 32, 10270, 203, 9592, 203, 1460, 39189, 280, 540, 9592, 203, 31, 636, 44, 570, 3790, 8508, 1396, 3408, 44052, 334, 8508, 1396, 81, 2035, 81, 37261, 44, 284, 15871, 44, 17610, 2813, 15751, 81, 1786, 7397, 284, 952, 44, 17610, 2813, 15751, 81, 699, 7397, 284, 3882, 44, 17610, 2813, 15751, 81, 2895, 7397, 334, 3909, 44, 3408, 81, 37261, 334, 11165, 81, 452, 44, 18339, 203, 31, 636, 44, 570, 3790, 8508, 1396, 3408, 44052, 645, 354, 7056, 334, 8508, 1396, 81, 2035, 81, 37261, 44, 284, 15871, 44, 17610, 354, 2390, 81, 1786, 7397, 284, 952, 44, 17610, 354, 2390, 81, 496, 7397, 284, 3882, 44, 17610, 354, 2390, 81, 4617, 7397, 284, 2813, 15751, 81, 12256, 44, 17610, 2813, 15751, 81, 12256, 7397, 334, 3909, 44, 3408, 81, 37261, 334, 11165, 81, 452, 44, 18339, 203, 31, 636, 44, 570, 3790, 8508, 1396, 3408, 44052, 645, 354, 7056, 623, 2604, 2471, 334, 8508, 1396, 81, 2035, 81, 37261, 44, 284, 15871 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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 ]
[ 0, 0, 0, 0, 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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2322, 1188, 16277, 203, 465, 5741, 32, 1163, 203, 1070, 1845, 13261, 32, 30262, 483, 32, 4155, 1188, 20245, 11434, 203, 1070, 43008, 1188, 10895, 81, 998, 203, 1070, 16539, 1188, 447, 1676, 203, 7490, 32, 1163, 32, 761, 1063, 463, 7490, 32, 2957, 683, 203, 2539, 280, 313, 34, 32, 34, 32, 34, 32, 34, 44, 39, 34, 34, 34, 20, 203, 17733, 280, 629, 26, 12757, 32, 371, 463, 8703, 9135, 370, 10895, 81, 998, 346, 319, 225, 42, 474, 225, 35, 490, 203, 5457, 280, 629, 26, 12757, 32, 371, 463, 14247, 370, 225, 35, 36, 34, 490, 203, 3560, 81, 751, 81, 1643, 280, 6611, 26, 90, 27, 101, 5461, 26, 100, 27, 101, 20, 18147, 101, 27, 101, 18147, 84, 27, 101, 5461, 26, 88, 27, 101, 20, 5461, 26, 83, 27, 101, 20, 5461, 1371, 74, 31, 40443, 31, 1562, 111, 91, 27, 101, 20, 5461, 1371, 74, 31, 40443, 31, 3437, 111, 91, 27, 101, 20, 5461, 1371, 74, 31, 40443, 31, 3489, 111, 91, 27, 101, 20, 225, 5461, 1371, 74, 31, 12880, 9232, 31, 4790, 31, 606, 111, 91, 27, 101, 14891, 203, 1449, 81, 9698, 280, 629, 26, 12757, 32, 371, 463, 3459, 81, 7921, 69, 370, 225, 35, 40, 37, 42, 38, 490, 203, 3248, 81, 1357, 81, 928, 280, 629, 26, 12757, 32, 371, 463, 13681, 81, 7921, 81, 4780, 370, 225, 42, 35, 43, 34, 490, 203, 10504, 19145, 280, 629, 26, 12757, 32, 371, 463, 39718, 726, 5751, 370, 225, 40, 34, 490, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 1974, 2262, 284, 1245, 32, 1338, 440, 15624, 1974, 2164, 21850, 284, 2085, 280, 447, 1676, 440, 2958, 37, 1974, 32, 978, 392, 9073, 47, 1815, 27, 284, 1245, 32, 1338, 440, 2333, 7307, 619, 25979, 904, 86, 392, 2085, 32, 6320, 27, 284, 7631, 280, 2085, 32, 1684, 346, 284, 1245, 32, 1338, 440, 2333, 2164, 11281, 623, 2287, 1340, 904, 86, 392, 7631, 27, 203, 5508, 280, 1665, 203, 589, 544, 81, 19569, 26, 1786, 711, 284, 1245, 32, 1338, 440, 4678, 3500, 2454, 21850, 284, 2085, 280, 447, 1676, 440, 2958, 37, 1974, 32, 978, 392, 9073, 47, 1815, 27, 284, 1245, 32, 1338, 440, 2333, 7307, 619, 25979, 904, 86, 392, 2085, 32, 6320, 27, 284, 7631, 280, 2085, 32, 1684, 346, 284, 1245, 32, 1338, 440, 2333, 2164, 11281, 623, 2287, 1340, 904, 86, 392, 7631, 27, 284, 1245, 32, 1338, 440, 15624, 13575, 21850, 284, 3649, 38271, 284, 38271, 280, 20245, 11434, 26, 18218, 347, 15689, 657, 284, 38271, 32, 1366, 346, 284, 38271, 32, 669, 81, 3245, 26, 1877, 30, 804, 347, 1877, 392, 2098, 35984, 47, 1815, 30, 1769, 81, 12182, 47, 35, 30, 6595, 1057, 7568, 370, 10135, 47, 37, 34, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 5, 4, 5, 3, 4, 4, 3, 5, 5, 5, 5, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 7, 6, 7, 6, 8, 8, 8, 6, 10, 10, 10, 8, 8, 9, 7, 7, 8, 6, 0, 3, 2, 2, 4, 7, 6, 7, 6, 8, 8, 6, 7, 7, 7, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 6, 7, 7, 7, 7, 7, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 6, 7, 7, 7, 7, 6, 0, 3, 3, 2, 2, 4, 7, 6, 7, 6, 8, 8, 8, 8, 6, 7, 7, 6, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 2, 2, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 6, 7, 8, 6, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 0, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 2, 2, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 6, 7, 8, 6, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 5, 6, 5, 7, 7, 7, 2, 2, 3, 2, 2, 4, 4, 6, 6, 8, 7, 9, 9, 2, 2, 5, 6, 5, 2, 2, 5, 6, 6, 6, 5, 6, 5, 5, 6, 8, 8, 5, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 6, 8, 8, 5, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 4, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 14, 14, 2, 14, 14, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 16, 16, 1, 1, 2, 1, 2, 16, 16, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 6, 4, 4, 0, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 2, 1, 0, 5, 2, 1, 1, 0, 0, 7, 2, 1, 1, 9, 1, 2, 1, 11, 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 ]
[ 465, 316, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 1070, 2297, 32, 5558, 32, 3663, 265, 1188, 11212, 265, 203, 1070, 2297, 32, 2282, 32, 1260, 81, 1823, 1188, 2361, 81, 12474, 203, 589, 6791, 705, 22342, 14619, 26, 40600, 47, 34, 711, 284, 2464, 280, 7138, 32, 44026, 346, 474, 30784, 26, 14991, 47, 40600, 27, 284, 415, 2464, 32, 11302, 438, 225, 34, 461, 2464, 32, 19880, 333, 225, 35, 34, 44, 291, 11906, 14619, 280, 2464, 284, 813, 44, 291, 11906, 14619, 280, 2464, 474, 30784, 26, 6124, 47, 35, 27, 284, 11906, 14619, 280, 11906, 14619, 32, 3227, 26, 11302, 47, 34, 30, 16044, 47, 35, 34, 30, 3100, 47, 34, 30, 10308, 3090, 47, 34, 27, 284, 442, 629, 1162, 7830, 14619, 429, 2464, 547, 2999, 81, 6360, 1157, 203, 823, 1683, 20757, 3761, 26, 3663, 265, 711, 284, 1156, 426, 505, 280, 313, 1061, 20757, 3761, 20, 284, 1156, 1648, 505, 280, 313, 34, 32, 35, 36, 20, 284, 1156, 681, 505, 280, 313, 2035, 265, 20, 284, 1156, 5607, 505, 280, 540, 25, 641, 49, 555, 18470, 12456, 33, 6603, 8169, 6505, 26, 311, 20757, 110, 311, 100, 5421, 32, 374, 25, 284, 1156, 2310, 505, 280, 1524, 1061, 20757, 32, 374, 3408, 265, 3973, 2993, 284, 1156, 2116, 81, 426, 505, 280, 313, 27292, 1030, 20, 284, 1156, 2116, 81, 2200, 505, 280, 313, 94, 32, 27292, 1030, 50, 23643, 32, 283, 20, 284, 665, 4705, 26, 784, 711, 291, 630, 32, 7190, 5827, 280, 225, 35, 40, 291, 630, 32, 14957, 7495, 280, 2933, 284, 665, 2164, 26, 784, 30, 3619, 761, 711, 291, 415, 316, 32, 2872, 26, 784, 3667, 5607, 7642, 3619, 761, 32, 965, 711, 324, 537, 81, 965, 280, 3619, 761, 32, 965, 291, 4348, 646, 630, 32, 3524, 44, 324, 630, 32, 751, 924, 41648, 6574, 6612, 1370, 904, 101, 3497, 556, 43292, 458, 3973, 657, 904, 313, 1061, 20757, 32, 374, 657, 324, 630, 32, 5066, 440, 2023, 1683, 20757, 32, 374, 3497, 3943, 657, 291, 813, 44, 324, 630, 32, 751, 3529, 440, 10560, 3834, 44, 904, 101, 20, 904, 3619, 761, 32, 965, 27, 324, 436, 617, 328, 35198, 26, 39, 711, 400, 1938, 280, 630, 32, 2403, 32, 944, 463, 641, 555, 311, 20757, 32, 374, 33, 311, 20757, 32, 1317, 370, 9474, 2364, 12516, 1204, 950, 3619, 761, 32, 965, 30, 330, 4116, 950, 330, 3222, 18143, 400, 630, 32, 751, 3529, 440, 3265, 706, 44, 313, 474, 1938, 27, 400, 415, 1938, 863, 40496, 528, 1626, 324, 813, 44, 400, 630, 32, 751, 1120, 440, 12014, 372, 622, 2330, 706, 30, 10774, 225, 35, 16044, 461, 11322, 657, 400, 630, 32, 13558, 26, 39, 30, 225, 40, 34, 30, 313, 12014, 372, 622, 2330, 706, 657, 324, 415, 330, 24742, 3523, 25, 328, 1938, 556, 2884, 4282, 884, 646, 6660, 372, 313, 13687, 313, 4984, 645, 458, 3408, 20, 328, 1938, 461, 630, 32, 36617, 711, 400, 630, 32, 3524, 32, 268, 3615, 26, 784, 32, 496, 27, 400, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 7, 8, 7, 5, 5, 7, 9, 8, 9, 7, 2, 2, 3, 6, 7, 5, 5, 6, 4, 4, 6, 7, 5, 5, 6, 6, 3, 3, 3, 7, 6, 6, 3, 3, 4, 4, 4, 8, 7, 7, 8, 8, 10, 12, 11, 12, 10, 2, 2, 5, 4, 4, 7, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 8, 6, 6, 7, 8, 6, 6, 8, 7, 8, 6, 2, 2, 3, 5, 10, 10, 9, 9, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 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, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 8, 9, 9, 7, 9, 8, 9, 7, 5, 5, 9, 9, 8, 8, 10, 9, 10, 5, 5, 6, 7, 8, 9, 6, 6, 6, 10, 11, 11, 10, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 11, 11, 13, 13, 13, 13, 13, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 6, 6, 6, 10, 11, 11, 10, 13, 13, 13, 13, 13, 13, 11, 11, 13, 12, 13, 10, 7, 7, 8, 8, 8, 10, 11, 10, 8, 8, 11, 11, 14, 15, 13, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 14, 18, 18, 16, 18, 17, 18, 15, 15, 18, 18, 16, 18, 18, 9, 9, 12, 13, 13, 12, 15, 15, 15, 15, 13, 13, 12, 9, 9, 10, 11, 11, 10, 10, 8, 8, 9, 9, 9, 13, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 10, 10, 13, 14, 13, 14, 13, 13, 14, 14, 13, 13, 15, 15, 15, 15, 15, 15, 7, 7, 8, 12, 12, 12, 10, 10, 9, 9, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 12, 12, 11, 11, 12, 13, 10, 8, 8, 13, 14, 12, 13, 13, 12, 14, 13, 14, 12, 9, 9, 12 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 5, 2, 1, 1, 0, 7, 2, 1, 4, 4, 3, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 5, 5, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 2, 1, 2, 7, 7, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 8, 2, 1, 2, 2, 3, 2, 8, 8, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 1, 1, 2, 4, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 5, 5, 5, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 3, 1, 2, 5, 5, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 1, 1, 2, 2, 1, 1, 6, 6, 6, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0 ]
[ 465, 5624, 203, 465, 2322, 203, 465, 5237, 203, 465, 16539, 203, 1070, 25679, 1188, 25679, 203, 1216, 463, 8312, 1503, 12454, 5624, 32, 2958, 81, 1648, 1157, 203, 1216, 463, 1449, 15390, 12454, 5237, 32, 1449, 9941, 27, 203, 1216, 463, 19362, 12454, 5624, 32, 19362, 1157, 203, 1216, 463, 3731, 32, 1648, 12454, 5237, 32, 1648, 27, 203, 1216, 463, 5134, 32, 8676, 2262, 370, 5624, 32, 8676, 1157, 203, 465, 617, 84, 46975, 203, 465, 617, 687, 1729, 81, 4977, 203, 465, 617, 687, 1729, 81, 21356, 203, 465, 617, 687, 1729, 81, 9328, 36, 34, 36, 36, 203, 465, 617, 687, 1729, 81, 11554, 203, 465, 617, 687, 1729, 81, 11156, 203, 465, 617, 687, 1729, 81, 4148, 203, 465, 617, 9769, 203, 465, 617, 4700, 203, 465, 617, 32271, 203, 465, 617, 32271, 81, 858, 203, 465, 617, 2543, 3242, 203, 465, 617, 6381, 288, 7550, 203, 465, 617, 2888, 1356, 203, 465, 617, 14344, 99, 203, 465, 617, 8079, 3018, 203, 465, 617, 716, 203, 465, 617, 1260, 203, 465, 617, 6921, 203, 465, 617, 94, 14780, 88, 203, 465, 617, 7740, 930, 46702, 12782, 203, 465, 617, 6844, 9452, 203, 465, 617, 3855, 203, 465, 617, 4817, 203, 465, 617, 14107, 37, 203, 465, 617, 6482, 203, 465, 617, 1167, 203, 465, 617, 858, 85, 1237, 203, 465, 1417, 203, 465, 9025, 520, 203, 465, 7395, 14510, 203, 465, 323, 108, 36, 203, 465, 281, 14686, 274, 203, 465, 281, 652, 2338, 203, 465, 281, 3812, 203, 465, 7138, 203, 465, 7062, 81, 26354, 203, 465, 31074, 203, 465, 7744, 203, 465, 45778, 203, 465, 4134, 203, 465, 4118, 203, 465, 3619, 2832, 269, 203, 465, 2192, 203, 465, 376, 1962, 203, 465, 1133, 203, 465, 15390, 605, 203, 465, 36252, 203, 465, 24297, 203, 1070, 2322, 1188, 13380, 1911, 203, 325, 5237, 32, 5134, 863, 330, 4463, 37, 36, 950, 284, 1188, 22333, 284, 1188, 296, 7858, 94, 284, 1188, 30666, 284, 1188, 310, 297, 203, 465, 17778, 203, 1216, 463, 10933, 10079, 81, 4530, 12454, 17778, 32, 10933, 10079, 81, 4530, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 5, 5, 5, 3, 5, 6, 6, 6, 5, 0, 3, 3, 5, 5, 5, 3, 4, 5, 5, 3, 0, 3, 3, 5, 5, 3, 5, 6, 5, 0, 3, 3, 5, 5, 5, 5, 3, 4, 5, 3, 0, 3, 3, 5, 5, 5, 5, 5, 3, 5, 6, 5, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 4, 2, 2, 4, 4, 4, 4, 1, 1, 3, 2, 2, 3, 5, 5, 2, 2, 3, 2, 2, 3, 5, 0, 1, 1, 0, 3, 3, 5, 5, 5, 5, 5, 3, 4, 5, 5, 5, 5, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 10, 10, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 15, 15, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 17, 17, 0, 0, 18, 18, 0, 0, 19, 19, 0, 0, 20, 20, 0, 0, 0, 0, 21, 21, 0, 0, 0, 22, 22, 0, 0, 0, 0, 23, 23, 0, 0, 0, 24, 24, 0, 0, 0, 25, 25, 0, 0, 0, 26, 26, 0, 0, 27, 27, 0, 0, 28, 28, 0, 0, 29, 29, 0, 0, 0, 0, 30, 30, 0, 0, 0, 0, 0, 31, 31, 0, 0, 0, 32, 32, 0, 0, 33, 33, 0, 0, 34, 34, 0, 0, 0, 35, 35, 0, 0, 36, 36, 0, 0, 37, 37, 0, 0, 0, 0, 38, 38, 0, 39, 39, 0, 0, 40, 40, 0, 0, 41, 41, 0, 0, 0, 42, 42, 0, 0, 0, 43, 43, 0, 0, 0, 44, 44, 0, 0, 45, 45, 0, 46, 46, 0, 0, 0, 47, 47, 0, 48, 48, 0, 49, 49, 0, 50, 50, 0, 51, 51, 0, 52, 52, 0, 0, 0, 53, 53, 0, 54, 54, 0, 0, 55, 55, 0, 56, 56, 0, 0, 57, 57, 0, 58, 58, 0, 59, 59, 59, 59, 0, 0, 60, 60, 0, 2, 1, 1, 1, 1, 1, 2, 60, 60, 0, 3, 3, 1, 0, 0, 3, 3, 2, 3, 3, 3, 0, 0, 61, 61, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 7744, 647, 203, 465, 3619, 7365, 647, 203, 465, 1671, 203, 465, 19571, 203, 1070, 1133, 1188, 9368, 203, 4997, 6904, 280, 3619, 7365, 32, 4997, 6904, 647, 203, 5670, 19563, 280, 225, 38, 42, 34, 34, 34, 261, 203, 9568, 280, 225, 34, 32, 36, 647, 203, 37082, 3364, 280, 629, 26, 5670, 19563, 319, 26299, 9097, 27, 203, 73, 4570, 1345, 3476, 81, 3539, 280, 2430, 2833, 33, 1295, 33, 105, 4378, 401, 32, 8800, 1231, 20, 203, 823, 13403, 70, 5783, 44, 284, 665, 3219, 26, 784, 711, 291, 630, 32, 3840, 280, 4354, 6904, 346, 291, 1244, 19522, 280, 630, 32, 3840, 32, 371, 81, 1536, 81, 2035, 81, 1237, 81, 1338, 346, 291, 1459, 440, 3505, 10071, 23498, 291, 1459, 26, 1536, 19522, 27, 291, 4550, 280, 3619, 7365, 32, 4535, 1428, 35, 40, 16189, 1459, 26, 784, 32, 3840, 32, 297, 81, 1643, 81, 7095, 26, 2024, 81, 1643, 280, 4550, 30, 1688, 81, 8147, 280, 225, 35, 30, 8667, 351, 7692, 280, 20542, 19563, 30, 1688, 81, 2929, 280, 225, 37, 490, 291, 630, 32, 2238, 280, 630, 32, 3840, 32, 1676, 26, 1643, 280, 4550, 30, 11022, 280, 225, 35, 30, 7692, 280, 20542, 19563, 30, 1688, 280, 2933, 30, 12872, 81, 462, 81, 2668, 280, 5557, 22756, 3364, 27, 291, 1596, 44, 324, 1459, 440, 41914, 372, 2454, 341, 4378, 401, 645, 803, 21850, 324, 296, 280, 2156, 26, 73, 4570, 1345, 3476, 81, 3539, 30, 313, 4506, 657, 324, 1459, 440, 225, 2032, 13197, 9199, 657, 324, 630, 32, 73, 4570, 1345, 3476, 280, 19571, 32, 944, 26, 88, 27, 324, 1459, 440, 225, 624, 4378, 401, 1491, 645, 803, 9199, 657, 324, 296, 32, 2679, 346, 324, 442, 291, 2940, 3268, 619, 538, 44, 324, 1459, 26, 327, 27, 324, 1459, 440, 5288, 372, 2454, 341, 4378, 401, 645, 803, 30, 316, 31, 48237, 657, 291, 13472, 280, 225, 36, 34, 34, 32, 34, 16189, 630, 32, 73, 4570, 1345, 3476, 280, 1605, 291, 436, 1650, 328, 2155, 26, 34, 30, 225, 38, 40, 711, 4288, 1929, 81, 12231, 266, 81, 9433, 280, 629, 26, 5670, 19563, 319, 26299, 9097, 319, 225, 34, 32, 34, 39, 27, 324, 1929, 81, 1949, 81, 9433, 280, 629, 26, 5670, 19563, 319, 26299, 9097, 319, 225, 34, 32, 41, 27, 324, 1929, 81, 12231, 541, 81, 9433, 280, 5557, 22756, 3364, 429, 308, 1516, 81, 1949, 81, 9433, 474, 1929, 81, 12231, 266, 81, 9433, 27, 324, 630, 32, 73, 4570, 1345, 3476, 32, 1689, 26, 1167, 32, 2423, 26, 3778, 58, 392, 225, 34, 9658, 324, 436, 23634, 328, 2155, 26, 1516, 81, 12231, 266, 81, 9433, 711, 400, 816, 280, 23634, 400, 2354, 81, 3287, 280, 629, 26, 3812, 32, 7102, 26, 106, 33, 1162, 5670, 19563, 33, 15710, 4165, 3812, 32, 1295, 490, 319, 225, 37, 36, 34, 34, 34, 319, 308, 2369, 33, 1516, 81, 12231, 266, 81, 9433, 490, 400, 630, 32, 73, 4570, 1345, 3476, 77, 1055, 79, 280, 630, 32, 73, 4570, 1345, 3476, 77, 1055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 2, 2, 4, 3, 4, 4, 0, 0, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 0, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 2, 2, 4, 6, 6, 5, 5, 6, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 9, 9, 9, 4, 4, 7, 8, 8, 7, 4, 4, 6, 6, 8, 7, 8, 8, 8, 8, 4, 4, 7, 11, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 10, 10, 9, 9, 11, 11, 10, 10, 11, 9, 9, 9, 9, 10, 10, 11, 9, 9, 11, 11, 10, 10, 11, 9, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 10, 9, 9, 8, 8, 9, 9, 10, 8, 8, 9, 9, 10, 8, 8, 9, 9, 8, 8, 10, 10, 10, 10, 9, 9, 10, 10, 8, 4, 4, 5, 5, 5, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 11, 10, 10, 12, 12, 6, 6, 9, 11, 11, 11, 11, 11, 6, 6, 9, 10, 10, 10, 10, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 9, 6, 6, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 10, 7, 7, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 6, 6, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 8, 7, 5, 5, 9, 9, 9, 9, 9, 8, 8, 10, 13, 13, 12, 12, 13, 11, 11, 12, 12, 12, 12, 10, 6, 6, 9, 9, 9, 9, 8, 8, 10, 13, 13, 12, 12, 13, 11, 11, 12, 12, 12, 10, 6, 6, 9, 9, 9, 9, 9, 8, 8, 10, 10, 9, 9, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 12, 10, 6, 6, 10, 11, 11, 11, 11, 9, 10, 9, 12, 11, 12, 11, 11, 13, 13, 11, 12, 11, 6, 6, 7, 7, 7, 9, 10, 10, 10, 10, 10, 10, 9, 7, 7, 10, 10, 8, 8, 11, 11, 10, 10, 12, 17, 16, 17, 16, 18, 17, 18, 22, 22, 21, 22, 20, 21, 20, 21, 18, 14, 14, 15, 15, 15, 15, 15, 13, 13, 16, 15, 16, 16, 16, 16, 16, 16, 14, 8, 8, 12, 13, 13, 13, 13, 11, 12, 11, 10, 10, 13, 14, 14, 14, 14, 12, 13 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 10, 10, 10, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 3, 2, 1, 1, 1, 1, 5, 5, 2, 1, 1, 0, 0, 7, 7, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 2, 1, 1, 5, 5, 2, 1, 1, 7, 7, 1, 1, 0, 0, 0, 0, 9, 9, 2, 2, 1, 4, 4, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 7, 7, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 10, 10, 10, 1, 1, 1, 1, 3, 3, 1, 10, 10, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 3, 1, 5, 5, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 5, 5, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2 ]
[ 505, 2116, 505, 280, 330, 839, 267, 11270, 25, 203, 1070, 7138, 1188, 7138, 203, 465, 316, 203, 46371, 935, 44182, 81, 613, 2396, 1971, 280, 316, 32, 6993, 9670, 34, 31, 43, 30, 8169, 21, 11466, 26789, 785, 657, 203, 13184, 81, 613, 2396, 1971, 280, 316, 32, 6993, 440, 474, 657, 203, 589, 802, 81, 452, 81, 1808, 26, 800, 711, 284, 442, 225, 34, 32, 34, 415, 802, 32, 7201, 346, 610, 4247, 813, 1897, 26, 800, 32, 3227, 33277, 5608, 2847, 203, 823, 13925, 44, 284, 665, 1156, 1664, 3207, 784, 30, 2340, 30, 636, 30, 17564, 81, 541, 47, 34, 32, 34, 30, 17564, 81, 266, 47, 34, 32, 34, 30, 353, 8446, 47, 2521, 711, 291, 630, 32, 770, 280, 2340, 291, 630, 32, 426, 280, 636, 291, 630, 32, 15407, 81, 266, 280, 17564, 81, 266, 291, 630, 32, 15407, 81, 541, 280, 17564, 81, 541, 291, 630, 32, 8680, 280, 8446, 415, 8446, 813, 2149, 291, 630, 32, 20030, 81, 426, 280, 13925, 1114, 12944, 81, 3038, 26, 426, 27, 284, 477, 16099, 284, 665, 3185, 26, 770, 30, 636, 30, 17564, 81, 541, 1057, 34, 370, 17564, 81, 266, 1057, 34, 370, 8446, 47, 2521, 711, 291, 8436, 81, 770, 280, 7138, 32, 44832, 26, 770, 30, 5461, 95, 9708, 86, 9708, 75, 1895, 770, 346, 291, 8436, 81, 8680, 280, 1605, 415, 646, 8446, 813, 78, 324, 428, 106, 32, 7201, 922, 2998, 16487, 683, 436, 816, 328, 8446, 32, 2998, 12573, 12357, 291, 5253, 81, 12881, 81, 8680, 280, 1992, 26, 324, 9254, 816, 499, 816, 415, 2069, 26, 106, 27, 848, 225, 35, 813, 308, 106, 77, 34, 614, 12304, 324, 8436, 81, 8680, 27, 291, 442, 13925, 26, 12881, 81, 770, 30, 636, 30, 802, 81, 452, 81, 1808, 26, 15407, 81, 541, 471, 3486, 802, 81, 452, 81, 1808, 26, 15407, 81, 266, 471, 5436, 26, 8638, 81, 12881, 81, 8680, 490, 284, 665, 619, 81, 7288, 26, 784, 711, 291, 442, 308, 784, 32, 770, 30, 630, 32, 426, 30, 630, 32, 15407, 81, 266, 30, 630, 32, 15407, 81, 541, 30, 400, 630, 32, 8680, 27, 284, 477, 16099, 284, 665, 617, 12944, 81, 3038, 26, 426, 711, 291, 17666, 81, 426, 280, 316, 32, 1113, 26, 46371, 935, 44182, 81, 613, 2396, 1971, 30, 4320, 636, 27, 291, 17666, 81, 426, 280, 316, 32, 1113, 26, 13184, 81, 613, 2396, 1971, 30, 313, 3003, 17666, 81, 426, 27, 291, 442, 17666, 81, 426, 32, 7201, 346, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 442, 308, 784, 32, 770, 610, 1604, 32, 770, 461, 400, 630, 32, 426, 610, 1604, 32, 426, 461, 400, 630, 32, 15407, 81, 266, 610, 1604, 32, 15407, 81, 266, 461, 400, 630, 32, 15407, 81, 541, 610, 1604, 32, 15407, 81, 541, 461, 400, 630, 32, 8680, 610, 1604, 32, 8680, 27, 284, 665, 1156, 2888, 3207, 784, 711, 291, 8446, 81, 2888, 280, 3677, 26, 30480, 470, 26, 784, 32, 8680, 32, 3494, 5156, 474, 78 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 4, 4, 7, 8, 7, 5, 5, 4, 4, 6, 9, 8, 9, 8, 8, 10, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 7, 7, 6, 8, 8, 5, 7, 7, 6, 8, 8, 5, 6, 7, 5, 4, 4, 8, 8, 7, 7, 11, 12, 11, 12, 11, 11, 13, 13, 13, 13, 13, 13, 10, 9, 5, 5, 8, 8, 7, 7, 8, 8, 9, 8, 9, 9, 8, 14, 13, 14, 13, 12, 11, 13, 9, 10, 10, 10, 12, 13, 12, 14, 5, 5, 8, 8, 8, 8, 7, 7, 9, 9, 9, 10, 10, 10, 11, 11, 14, 15, 14, 12, 12, 13, 11, 11, 14, 13, 14, 13, 12, 9, 9, 10, 10, 9, 5, 5, 6, 8, 9, 9, 9, 8, 8, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 10, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 10, 8, 10, 11, 11, 11, 11, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 8, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 5, 5, 8, 8, 7, 7, 9, 10, 9, 10, 10, 10, 10, 10, 9, 9, 11, 9, 10, 10, 9, 5, 5, 6, 9, 9, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 13, 12, 13, 11, 11, 12, 13, 10, 10, 10, 12, 13, 11, 11, 12, 13, 9, 9, 9, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 8, 8, 8, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 7, 7, 7, 9, 10, 8, 8, 9, 10, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 11, 11, 11, 15, 14, 15, 13, 14, 13, 7, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 6, 6, 6, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 2, 2, 11, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 1, 2, 2, 0, 0, 7, 1, 2, 2, 9, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 0, 0, 2, 1, 2, 1, 2, 5, 2, 2, 2, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 2, 1, 4, 1, 1, 3, 3, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 1, 7, 2, 2, 2, 1, 1, 1, 9, 2, 1, 3, 3, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 2, 0, 0, 0, 2, 1, 3, 3, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 3, 3, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2 ]
[ 505, 2116, 505, 280, 313, 6002, 658, 34696, 481, 3258, 20, 203, 505, 464, 505, 280, 428, 284, 330, 1831, 370, 203, 79, 203, 465, 16672, 203, 465, 27374, 203, 465, 5237, 203, 1070, 638, 1188, 3570, 203, 1070, 638, 1188, 1245, 203, 1070, 638, 2238, 81, 21201, 1188, 7537, 14384, 203, 1070, 638, 29568, 103, 81, 1163, 1188, 2415, 265, 103, 1063, 203, 589, 2125, 81, 1664, 26, 4073, 30, 23307, 711, 284, 645, 638, 1141, 32, 1664, 1188, 3219, 284, 787, 265, 103, 81, 1163, 81, 761, 280, 3570, 32, 371, 81, 29568, 103, 81, 1163, 81, 761, 346, 284, 3219, 26, 29568, 103, 81, 1163, 81, 761, 47, 29568, 103, 81, 1163, 81, 761, 30, 4082, 47, 4073, 30, 23307, 47, 21201, 27, 203, 589, 745, 81, 1141, 26, 1141, 30, 4082, 30, 23307, 30, 1115, 1132, 711, 284, 787, 265, 103, 81, 1163, 81, 761, 280, 3570, 32, 371, 81, 29568, 103, 81, 1163, 81, 761, 346, 284, 787, 265, 103, 81, 1163, 280, 2415, 265, 103, 1063, 26, 29568, 103, 81, 1163, 81, 761, 27, 284, 415, 646, 330, 29568, 103, 25, 328, 787, 265, 103, 81, 1163, 44, 291, 4082, 32, 731, 440, 1163, 803, 15466, 100, 111, 1957, 646, 4799, 312, 2080, 787, 265, 103, 3488, 2296, 1643, 26, 29568, 103, 81, 1163, 81, 761, 490, 291, 442, 225, 36, 284, 787, 265, 103, 280, 787, 265, 103, 81, 1163, 710, 29568, 103, 785, 284, 2125, 26, 29568, 103, 47, 29568, 103, 30, 4082, 47, 4073, 30, 23307, 47, 21201, 30, 1115, 1132, 27, 203, 589, 2125, 81, 668, 26, 4073, 30, 23307, 711, 284, 645, 638, 1141, 32, 668, 1188, 1149, 81, 29568, 103, 284, 442, 745, 81, 1141, 26, 668, 81, 29568, 103, 30, 4082, 47, 4073, 30, 23307, 47, 21201, 27, 203, 589, 2125, 81, 2245, 26, 4073, 30, 23307, 711, 284, 645, 638, 1141, 32, 2245, 1188, 2519, 81, 29568, 103, 284, 442, 745, 81, 1141, 26, 2245, 81, 29568, 103, 30, 4082, 47, 4073, 30, 23307, 47, 21201, 27, 203, 589, 2125, 81, 944, 26, 4073, 30, 23307, 30, 6274, 711, 284, 645, 638, 1141, 32, 944, 1188, 2454, 81, 3959, 284, 442, 745, 81, 1141, 26, 944, 81, 3959, 30, 4082, 47, 4073, 30, 23307, 47, 21201, 30, 6274, 81, 426, 47, 3959, 27, 203, 589, 2575, 26, 21201, 47, 1862, 14384, 26, 3731, 32, 9362, 471, 4082, 47, 2521, 30, 6184, 47, 2521, 711, 284, 415, 6184, 438, 1665, 44, 291, 6184, 280, 5237, 32, 6118, 77, 35, 10056, 284, 415, 4082, 438, 1665, 44, 291, 4082, 280, 1245, 32, 371, 81, 1536, 81, 4073, 346, 284, 1244, 81, 29568, 103, 81, 5660, 280, 3570, 32, 371, 81, 29568, 103, 81, 5660, 346, 284, 1244, 81, 29568, 103, 81, 1163, 81, 761, 280, 3570, 32, 371, 81, 29568, 103, 81, 1163, 81, 761, 346, 284, 4942, 81, 3922, 280, 16672, 32, 26633, 26, 291, 1015, 81, 4756, 47, 2700, 30, 284, 829, 284, 4942, 81, 3922, 32, 669, 81, 2669, 13692, 1515, 392, 4825, 86, 392, 291, 3466 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 5, 6, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 2, 2, 3, 4, 7, 7, 7, 5, 5, 6, 6, 6, 6, 3, 3, 3, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 10, 10, 10, 10, 10, 9, 4, 4, 5, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 5, 7, 7, 7, 2, 2, 5, 7, 7, 6, 7, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 5, 6, 3, 3, 5, 5, 5, 2, 2, 3, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 5, 6, 3, 3, 5, 5, 5, 2, 2, 3, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 6, 5, 6, 3, 3, 5, 5, 2, 2, 3, 5, 5, 5, 6, 6, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 7, 7, 6, 7, 5, 0, 1, 1, 2, 4, 3, 5, 5, 5, 7, 6, 7, 5, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 7, 9, 8, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 8, 7, 8, 6, 6, 6, 2, 2, 6, 6, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 9, 9, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 1, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 1, 1, 0, 11, 11, 1, 1, 2, 1, 2, 2, 2, 11, 11, 0, 0, 1, 2, 0, 0, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 0, 12, 12, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 0, 1, 2, 0, 0, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 0, 13, 13, 1, 1, 2, 1, 2, 2, 2, 2, 2, 13, 13, 0, 0, 1, 2, 0, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 2, 1, 0, 14, 14, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 3, 2, 2, 2, 5, 2, 2, 14, 14, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1 ]
[ 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 619, 617, 203, 1070, 44214, 32, 3378, 32, 3647, 81, 6228, 1188, 14533, 12054, 203, 823, 25010, 1241, 26, 8538, 32, 1243, 1241, 711, 284, 443, 11985, 44, 291, 1542, 280, 14533, 12054, 291, 3829, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 1256, 47, 2521, 30, 5093, 47, 2521, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 12054, 1241, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 496, 280, 1256, 291, 630, 32, 3647, 280, 5093, 284, 665, 5063, 26, 784, 711, 291, 28171, 81, 605, 280, 2599, 26, 12054, 1241, 30, 630, 547, 6008, 346, 291, 2124, 280, 14533, 12054, 32, 5740, 32, 2029, 26, 496, 47, 784, 32, 496, 30, 10631, 5093, 47, 784, 32, 3647, 27, 291, 415, 2124, 32, 4658, 2262, 324, 3636, 10548, 32, 24536, 41648, 2272, 2124, 3425, 5375, 2131, 291, 442, 28171, 81, 605, 284, 665, 4131, 26, 784, 30, 4583, 47, 1815, 711, 291, 415, 646, 630, 32, 2386, 32, 3174, 44, 324, 630, 32, 2386, 32, 496, 280, 630, 32, 496, 324, 630, 32, 2386, 32, 3647, 280, 630, 32, 3647, 291, 442, 2599, 26, 12054, 1241, 30, 630, 547, 2853, 26, 3375, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 3, 3, 3, 6, 6, 7, 4, 4, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 11, 11, 10, 10, 10, 9, 8, 4, 4, 6, 6, 10, 9, 10, 8, 9, 8, 10, 9, 11, 10, 11, 8, 8, 8, 9, 11, 10, 11, 8, 4, 4, 5, 7, 8, 7, 5, 5, 7, 9, 10, 9, 13, 13, 13, 13, 13, 4, 4, 5, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 8, 9, 7, 8, 5, 5, 5, 10, 11, 9, 10, 8, 8, 9, 10, 6, 6, 10, 11, 9, 10, 8, 8, 9, 10, 4, 4, 5, 9, 10, 10, 9, 9, 9, 8, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 3, 3, 0, 2, 2, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 3, 3, 1, 2, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 1, 2, 2, 1, 2, 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, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 4, 4, 3, 2, 1, 2, 2, 3, 2, 2, 3, 3, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 3, 3, 0, 2, 0, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 7138, 1188, 7138, 203, 1070, 4395, 1188, 7841, 203, 1070, 8527, 32, 858, 1188, 4448, 2214, 203, 1070, 25202, 1188, 4125, 619, 41605, 81, 1237, 203, 1070, 25202, 32, 3378, 1188, 22618, 17339, 2324, 30, 22618, 27656, 30, 13048, 9548, 203, 1070, 25202, 32, 4882, 32, 42053, 1188, 13048, 9548, 2214, 203, 1070, 1359, 81, 3378, 32, 3378, 1188, 3320, 203, 1070, 13197, 106, 32, 1262, 32, 11025, 7491, 32, 3806, 81, 784, 81, 98, 9000, 1188, 4125, 619, 630, 81, 98, 9000, 81, 1237, 203, 1070, 13197, 106, 32, 1262, 32, 11025, 7491, 32, 3806, 81, 2795, 32, 1237, 1188, 42404, 9514, 924, 203, 1070, 13197, 106, 32, 1262, 32, 11025, 7491, 32, 3806, 81, 2795, 32, 4882, 32, 858, 81, 2795, 1188, 4187, 1006, 13976, 203, 1070, 17117, 2518, 1188, 4125, 619, 17117, 2518, 81, 1237, 203, 1070, 9525, 32, 4882, 32, 42053, 1188, 22509, 38935, 2214, 30, 2680, 2214, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 11025, 81, 2304, 1188, 7703, 2780, 7233, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 22509, 2214, 203, 823, 10945, 1240, 9548, 1006, 26, 2459, 2780, 7233, 30, 4187, 1006, 13976, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 10505, 1240, 9548, 1006, 30, 630, 547, 23741, 346, 291, 3320, 32, 3815, 346, 291, 22618, 17339, 2324, 32, 5740, 32, 1297, 26, 6565, 47, 1815, 27, 291, 630, 32, 496, 280, 2680, 2214, 32, 1297, 346, 291, 630, 32, 7632, 280, 630, 1114, 1297, 81, 7632, 346, 291, 630, 32, 1357, 280, 4448, 2214, 922, 1357, 346, 291, 7841, 265, 81, 297, 81, 7632, 81, 10687, 280, 7841, 32, 1473, 26, 784, 81, 98, 9000, 81, 1237, 30, 330, 297, 81, 7632, 81, 10687, 683, 291, 630, 32, 3613, 81, 297, 81, 7632, 81, 10687, 280, 7841, 265, 81, 297, 81, 7632, 81, 10687, 32, 1366, 346, 291, 630, 32, 3613, 81, 297, 81, 7632, 81, 10687, 32, 601, 81, 853, 280, 3177, 291, 630, 32, 669, 20253, 26, 2675, 265, 81, 297, 81, 7632, 81, 10687, 32, 4048, 27, 291, 7841, 265, 81, 4737, 81, 2795, 280, 7841, 463, 4682, 2518, 32, 1237, 32, 4737, 81, 2795, 683, 291, 630, 32, 3613, 81, 4737, 81, 2795, 280, 7841, 265, 81, 4737, 81, 2795, 32, 1366, 346, 291, 630, 32, 669, 20253, 26, 2675, 265, 81, 4737, 81, 2795, 32, 4048, 27, 284, 665, 617, 1297, 81, 7632, 26, 784, 30, 438, 81, 784, 81, 98, 9000, 47, 1815, 30, 1115, 2184, 711, 291, 8419, 280, 22509, 2214, 32, 1297, 26, 324, 630, 81, 98, 9000, 47, 297, 81, 784, 81, 98, 9000, 30, 324, 1477, 47, 6665, 26, 36, 34, 35, 37, 30, 225, 43, 30, 225, 35, 40, 30, 225, 41, 30, 225, 35, 41, 30, 225, 36, 42, 471, 324, 26036, 81, 28306, 101, 12516, 6129, 950, 225, 34, 32, 39, 835, 324, 1115, 2184, 291, 829, 291, 41605, 81, 1237, 32, 470, 81, 6989, 81, 19407, 81, 6565, 26, 7632, 32, 314, 30, 438, 81, 784, 81, 98, 9000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 7, 4, 4, 9, 9, 8, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 6, 6, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 10, 10, 9, 8, 4, 4, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 6, 6, 6, 6, 6, 5, 6, 4, 4, 6, 4, 3, 3, 6, 6, 9, 8, 9, 8, 8, 8, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 8, 8, 8, 9, 11, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 8, 8, 10, 10, 10, 9, 13, 13, 11, 12, 12, 12, 10, 8, 8, 10, 8, 8, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 4, 4, 1, 2, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 6, 6, 6, 7, 7, 3, 3, 2, 2, 2, 2, 2, 0, 8, 8, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 1, 8, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 1, 8, 1, 10, 10, 10, 9, 9, 0, 0, 0, 10, 10, 0, 10, 10, 3, 3, 2, 2, 2, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 11, 11, 0, 0, 12, 12, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 12, 12, 0, 0, 0, 13, 13, 0, 1, 2, 2, 1, 4, 1, 6, 13, 13, 0, 0, 14, 14, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 14, 14, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 1, 0, 0, 0, 5, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 3, 3, 3, 3 ]
[ 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 203, 1070, 4250, 32, 3378, 1188, 498, 1209, 496, 30, 24506, 1240, 203, 1070, 498, 1209, 1582, 279, 1188, 4070, 203, 823, 9923, 1241, 26, 8538, 32, 1243, 1241, 711, 284, 1048, 81, 2079, 81, 823, 280, 330, 2040, 31, 731, 25, 284, 443, 11985, 44, 291, 1542, 280, 498, 1209, 496, 291, 3829, 280, 3037, 1637, 1322, 392, 313, 18218, 392, 313, 4661, 392, 313, 1831, 81, 18495, 1446, 291, 3049, 81, 21218, 280, 301, 324, 313, 1637, 1322, 563, 26155, 1318, 1451, 432, 3946, 11067, 544, 1591, 1938, 328, 312, 1149, 26551, 324, 313, 1831, 81, 18495, 563, 26155, 10195, 6688, 23572, 24384, 30, 1510, 23572, 9241, 844, 1487, 884, 11012, 372, 26551, 291, 320, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 17094, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 4151, 1365, 18218, 6494, 19833, 77, 34, 79, 280, 2884, 392, 1044, 33170, 440, 2044, 5989, 34, 1748, 2296, 1643, 26, 3550, 32, 4804, 81, 27368, 2610, 291, 630, 32, 4151, 1365, 18218, 6494, 3854, 32, 19833, 77, 34, 79, 280, 2884, 392, 1044, 33170, 440, 2044, 5989, 34, 1748, 2296, 1643, 26, 3550, 32, 4804, 81, 27368, 2610, 203, 823, 38035, 1241, 26, 8538, 32, 1243, 1241, 711, 284, 1048, 81, 2079, 81, 823, 280, 330, 2040, 31, 731, 25, 284, 17596, 81, 3815, 280, 10548, 32, 39471, 26, 3648, 47, 2700, 27, 284, 443, 11985, 44, 291, 1542, 280, 498, 1209, 496, 291, 3829, 280, 3037, 9701, 1446, 291, 21754, 280, 301, 324, 313, 9701, 563, 10548, 32, 974, 1612, 346, 291, 320, 203, 823, 24506, 1103, 1240, 1241, 26, 8538, 32, 1243, 1241, 711, 284, 1048, 81, 2079, 81, 823, 280, 330, 2040, 31, 731, 25, 284, 443, 11985, 44, 291, 1542, 280, 24506, 1240, 291, 21754, 280, 301, 324, 313, 18495, 563, 10548, 32, 13769, 1612, 346, 291, 320, 291, 3829, 280, 11477, 464, 505, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 3, 3, 3, 6, 6, 7, 7, 4, 4, 6, 6, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 7, 7, 10, 10, 10, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 10, 10, 10, 10, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 10, 11, 9, 11, 11, 9, 7, 8, 7, 6, 6, 9, 7, 9, 9, 13, 13, 13, 13, 13, 12, 11, 13, 12, 13, 13, 13, 11, 4, 4, 11, 12, 10, 12, 12, 10, 8, 9, 7, 8, 7, 6, 6, 9, 7, 9, 9, 13, 13, 13, 13, 13, 12, 11, 13, 12, 13, 13, 13, 11, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 3, 3, 3, 3, 6, 6, 7, 7, 4, 4, 6, 6, 9, 9, 4, 4, 6, 6, 7, 7, 10, 10, 8, 10, 11, 11, 10, 7, 7, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 3, 3, 3, 6, 6, 7, 4, 4, 6, 6, 7, 7, 10, 10, 8, 10, 11, 11, 10, 7, 7, 4, 4, 6, 6, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 3, 3, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 5, 5, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 2, 3, 3, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 2, 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, 1, 1, 1, 1, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 6, 6, 1, 2, 0, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 2, 2, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 7, 7, 1, 1, 1, 2, 0, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 3, 3, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 1695, 40, 38, 203, 465, 12460, 203, 465, 42406, 203, 465, 2361, 203, 465, 310, 491, 550, 203, 465, 2322, 32, 983, 203, 465, 316, 203, 465, 5237, 203, 465, 1133, 203, 465, 11171, 203, 465, 14465, 203, 465, 7138, 203, 1070, 35094, 1188, 7360, 203, 1070, 3995, 1188, 9500, 30, 1171, 6096, 30, 20564, 203, 1070, 594, 17321, 36, 32, 9211, 1188, 4706, 2029, 30, 745, 81, 24850, 619, 617, 1409, 81, 24850, 203, 1070, 28520, 32, 4275, 1188, 35603, 924, 30, 35603, 2348, 924, 30, 35603, 2348, 18082, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 25931, 1188, 802, 81, 2516, 30, 4991, 81, 2516, 30, 540, 3002, 1125, 30, 1344, 81, 681, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 25931, 32, 21332, 1188, 787, 1909, 81, 7345, 203, 1070, 28520, 32, 1647, 81, 2304, 1114, 878, 1188, 372, 81, 3651, 30, 372, 81, 3723, 30, 372, 81, 878, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 2282, 32, 9769, 1188, 438, 81, 7508, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 2282, 1114, 9769, 81, 8524, 1188, 23507, 203, 1070, 28520, 32, 26801, 32, 83, 1260, 1188, 35603, 3265, 8770, 203, 1070, 28520, 32, 26801, 32, 6045, 32, 5937, 265, 1188, 35603, 15434, 265, 203, 1070, 28520, 32, 2387, 1188, 18581, 81, 1553, 81, 2187, 203, 1070, 28520, 32, 2304, 32, 2751, 1188, 8525, 203, 1070, 28520, 32, 2304, 32, 11294, 1188, 3097, 1356, 81, 271, 81, 3697, 203, 1070, 28520, 32, 2304, 32, 2888, 299, 1188, 8735, 39, 101, 30, 19358, 81, 101, 203, 1070, 28520, 32, 2304, 32, 9941, 1188, 15390, 81, 4071, 203, 1070, 28520, 32, 2304, 32, 6862, 1188, 3991, 81, 2888, 203, 2751, 280, 8525, 346, 203, 7595, 81, 9621, 81, 37632, 14507, 280, 11171, 32, 7595, 463, 37, 40, 35, 55, 40, 54, 39, 35, 31, 1852, 6142, 31, 38, 38, 38, 51, 31, 43, 34, 41, 43, 31, 37, 38, 35, 37, 42, 40, 5408, 42, 55, 36, 55, 683, 203, 589, 372, 81, 6045, 26, 83, 30, 319, 1132, 30, 1115, 4124, 711, 284, 5881, 6669, 9541, 30, 13462, 18970, 14465, 9592, 284, 1244, 81, 1867, 81, 1621, 280, 8556, 32, 3235, 463, 1536, 81, 1867, 81, 1621, 370, 1665, 27, 284, 21634, 280, 14465, 32, 5937, 26, 83, 30, 16844, 265, 47, 1045, 21581, 15434, 265, 30, 2608, 81, 9941, 47, 1815, 30, 1244, 81, 1867, 81, 1621, 47, 1536, 81, 1867, 81, 1621, 30, 1115, 4124, 27, 284, 442, 372, 81, 878, 26, 32359, 27, 203, 589, 372, 81, 34665, 81, 6045, 26, 83, 30, 10525, 47, 38, 30, 319, 1132, 30, 1115, 4124, 711, 284, 5881, 6669, 9541, 30, 13462, 18970, 14465, 9592, 284, 21634, 280, 14465, 32, 5937, 26, 83, 30, 16844, 265, 47, 1045, 21581, 15434, 265, 30, 10525, 47, 9378, 30, 2608, 81, 9941, 47, 1815, 30, 1244, 81, 1867, 81, 1621, 47, 2700, 30, 1115, 4124, 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, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 8, 7, 8, 8, 8, 8, 6, 6, 8, 8, 7, 8, 6, 6, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 6, 2, 2, 3, 5, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 2, 2, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 8, 7, 8, 8, 8, 8, 6, 6, 7, 8, 6, 6, 8, 8, 7, 8, 6, 6, 8, 8, 8, 8, 7, 8, 6, 6, 8, 6, 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, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 1, 2, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 14, 14, 14, 14, 0, 15, 15, 15, 15, 15, 15, 0, 15, 15, 0, 16, 16, 0, 0, 1, 2, 16, 16, 0, 16, 16, 0, 0, 5, 5, 2, 2, 2, 0, 17, 17, 1, 2, 17, 17, 0, 17, 17, 0, 0, 17, 17, 0, 0, 0, 18, 18, 1, 2, 2, 2, 1, 4, 18, 18, 0, 0, 18, 18, 0, 0, 18, 18, 0, 0, 18, 18, 0, 0, 0, 19, 19, 1, 2, 2, 2, 1, 4, 1, 6, 19, 19, 0, 0, 0, 0, 20, 20, 1, 2, 2, 2, 1, 4, 20, 20, 0, 0, 20, 20, 0, 0, 20, 20, 0, 0, 0, 21, 21, 1, 2, 2, 2, 1, 4, 1, 6, 21, 21, 0, 0, 0, 22, 22, 1, 2, 2, 2, 1, 4, 1, 6, 6, 6, 22, 22, 0, 23, 23, 1, 2, 1, 4, 4, 23, 23, 0, 0, 0, 24, 24, 1, 2, 1, 4, 1, 6, 6, 24, 24, 0, 0, 0, 25, 25, 1, 2, 25, 25, 0, 0, 0, 0, 0, 26, 26, 1, 2, 1, 4, 26, 26, 0, 27, 27, 1, 2, 1, 4, 27, 27, 0, 0, 0, 0, 0, 0, 28, 28, 1, 2, 1, 4, 4, 28, 28, 0, 0, 28, 28, 0, 0, 0, 29, 29, 1, 2, 1, 4, 29, 29, 0, 0, 0, 30, 30, 1, 2, 1, 4, 30, 30, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 33, 33, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 33, 33, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 2, 1, 1, 0, 0, 5, 2, 1, 1, 0, 0, 0, 0, 7, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 3, 0, 0, 1, 1, 1, 0, 34, 34, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 1, 2, 34, 34, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 2, 1, 1, 0, 0, 0, 0, 9, 2, 1, 1, 1, 1, 4 ]
[ 95, 3031, 934, 8017, 32, 1146, 1001, 519, 305, 32, 318, 659, 305, 32, 1506, 782, 1188, 32186, 782, 203, 1070, 3031, 934, 8017, 32, 1146, 1001, 519, 305, 32, 318, 659, 305, 32, 4555, 1188, 18860, 203, 1070, 3031, 934, 8017, 32, 1146, 1001, 519, 305, 32, 318, 659, 305, 32, 304, 2487, 1188, 6110, 2487, 203, 1070, 3031, 934, 8017, 32, 1146, 1001, 519, 305, 32, 318, 659, 305, 32, 7828, 1188, 44542, 203, 1070, 3031, 934, 8017, 32, 1146, 1001, 519, 305, 32, 318, 659, 305, 32, 8319, 1188, 19078, 203, 1070, 3031, 934, 8017, 32, 1146, 1001, 519, 305, 32, 318, 659, 305, 32, 311, 335, 32066, 1188, 1683, 335, 32066, 203, 1070, 3031, 934, 8017, 32, 1423, 299, 32, 318, 659, 6050, 32, 318, 102, 81, 1423, 1188, 516, 2632, 3206, 203, 1070, 3100, 48325, 32, 88, 20701, 2487, 32, 8662, 307, 1188, 319, 203, 823, 516, 2632, 56, 27821, 283, 26, 21430, 711, 284, 1524, 11166, 95, 280, 313, 88, 27821, 283, 20, 284, 665, 1156, 1664, 3207, 784, 30, 4916, 96, 381, 30, 296, 17345, 711, 291, 1524, 8407, 415, 4916, 96, 381, 44, 324, 1980, 81, 47227, 280, 4916, 96, 381, 32, 2386, 81, 47227, 291, 813, 44, 324, 1980, 81, 47227, 280, 1665, 291, 44542, 3667, 1664, 3207, 784, 30, 1980, 81, 47227, 30, 296, 17345, 27, 291, 415, 4916, 96, 381, 461, 296, 17345, 44, 324, 630, 32, 24691, 103, 548, 26, 88, 17345, 27, 284, 665, 1156, 371, 890, 1132, 3207, 784, 711, 291, 442, 308, 2521, 30, 1665, 27, 284, 665, 21202, 103, 548, 26, 784, 30, 296, 17345, 711, 291, 1524, 2775, 21, 559, 24551, 512, 8132, 512, 280, 630, 32, 2461, 11925, 81, 1506, 782, 440, 100, 24551, 512, 743, 3599, 30689, 392, 313, 100, 392, 32186, 782, 30, 296, 17345, 30, 400, 313, 1582, 512, 392, 11752, 2331, 940, 27, 291, 2834, 512, 32, 2544, 280, 630, 291, 2834, 512, 32, 13232, 280, 313, 68, 24551, 512, 743, 3599, 30689, 6288, 15863, 335, 2487, 499, 313, 291, 2834, 512, 32, 5874, 9802, 280, 10698, 2067, 364, 32, 1582, 512, 3845, 291, 2834, 512, 32, 42465, 81, 5512, 519, 280, 766, 324, 313, 1866, 26701, 999, 523, 304, 110, 100, 24551, 512, 110, 486, 110, 6288, 15863, 335, 2487, 9065, 523, 3515, 110, 33, 110, 486, 110, 9202, 316, 2465, 476, 313, 766, 324, 313, 6048, 2317, 296, 272, 5884, 5309, 298, 11727, 519, 5327, 96, 78, 96, 68, 24551, 30063, 18676, 31577, 499, 2149, 5327, 96, 78, 96, 20, 766, 324, 313, 68, 24551, 512, 1712, 8335, 499, 523, 3590, 110, 1656, 2067, 364, 32, 1582, 512, 1540, 110, 486, 110, 2296, 1643, 26, 324, 3003, 4939, 2524, 26, 4733, 2331, 940, 490, 291, 588, 677, 2842, 896, 1728, 4618, 101, 280, 630, 32, 2461, 11925, 81, 1506, 782, 440, 90, 2842, 896, 469, 2193, 8102, 392, 313, 90, 392, 400, 19078, 30, 296, 17345, 30, 313, 90, 2842, 896, 1728, 392, 37075, 11678, 81, 58, 25592, 11160, 3480, 27, 291, 420, 2842, 896, 1728, 32, 2544 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 2, 3, 3, 1, 2, 4, 1, 2, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 2, 1, 2, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 2, 2, 4, 1, 2, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 2, 1, 2, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 2, 1, 2, 2, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 2, 4, 4, 1, 2, 2, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 2, 2, 4, 4, 1, 2, 2, 4, 3, 4, 4, 4, 3, 4, 4, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 3, 2, 2, 6, 6, 5, 5, 7, 7, 6, 7, 7, 7, 1, 1, 3, 3, 3, 5, 5, 3, 3, 1, 1, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 1, 1, 2, 4, 4, 3, 3, 4, 2, 2, 2, 6, 7, 7, 7, 6, 7, 7, 6, 1, 1, 2, 3, 3, 3, 3, 4, 3, 2, 2, 4, 6, 5, 5, 5, 1, 1, 2, 3, 3, 3, 4, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 3, 3, 3, 3, 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 ]
[ 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 3, 3, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 4, 1, 6, 3, 3, 0, 4, 4, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 4, 1, 6, 6, 4, 4, 0, 0, 5, 5, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 4, 1, 6, 5, 5, 0, 6, 6, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 4, 1, 6, 6, 6, 0, 7, 7, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 4, 1, 6, 6, 6, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 2, 1, 4, 4, 4, 1, 6, 6, 6, 6, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 2, 2, 1, 4, 4, 9, 9, 0, 10, 10, 1, 1, 1, 1, 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, 1, 1, 0, 4, 4, 3, 3, 4, 10, 10, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 5, 1, 0, 0, 13, 0, 0, 1, 1, 2, 13, 13, 13, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 14, 1, 1, 1, 1, 1, 2, 14, 14, 0, 1, 1, 1, 1, 0, 0, 15, 1, 1, 2, 1, 2, 2, 3, 2, 15, 15, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 465, 49093, 203, 465, 7138, 619, 8793, 203, 465, 3363, 203, 465, 316, 203, 465, 5237, 203, 465, 29590, 203, 465, 11993, 619, 41707, 203, 465, 13092, 203, 465, 827, 1553, 619, 12889, 203, 465, 827, 1553, 32, 2846, 619, 22085, 203, 1070, 827, 1553, 32, 858, 4313, 1188, 2799, 203, 74, 280, 41707, 32, 620, 1881, 463, 74, 683, 203, 27343, 280, 41707, 32, 620, 1881, 463, 27343, 370, 5085, 47, 2632, 32, 770, 27, 203, 34100, 280, 41707, 32, 620, 1881, 463, 34100, 370, 596, 30, 3519, 27, 203, 589, 894, 81, 33477, 81, 1647, 81, 1376, 4387, 4321, 2262, 284, 1201, 438, 39288, 26, 14647, 32, 17325, 30, 41707, 32, 4007, 27, 610, 308, 3731, 32, 1648, 81, 1338, 2377, 308, 37, 30, 39, 490, 284, 1201, 41707, 32, 3637, 1074, 3667, 5138, 505, 610, 308, 14647, 32, 70, 81, 331, 30, 41707, 32, 26419, 30, 41707, 32, 11231, 81, 331, 27, 284, 1201, 646, 438, 39288, 26, 14647, 32, 5897, 77, 74, 614, 41707, 32, 17325, 77, 74, 1130, 225, 203, 50, 5478, 32, 681, 1553, 203, 589, 9214, 81, 5897, 81, 410, 81, 452, 81, 720, 81, 410, 26, 106, 44, 41707, 32, 5897, 77, 410, 614, 533, 27, 967, 41707, 32, 720, 77, 410, 2786, 284, 816, 32, 1689, 26, 107, 27, 284, 442, 816, 203, 589, 894, 81, 5897, 81, 410, 81, 1793, 81, 2951, 81, 5897, 2262, 284, 1201, 9214, 81, 5897, 81, 410, 81, 452, 81, 720, 81, 410, 25619, 225, 38, 27, 610, 428, 38, 79, 203, 589, 894, 81, 5897, 81, 410, 81, 2950, 2262, 284, 1201, 9214, 81, 5897, 81, 410, 81, 452, 81, 720, 81, 410, 2009, 35, 30, 225, 36, 614, 225, 38, 27, 610, 428, 35, 30, 225, 36, 30, 225, 38, 79, 203, 589, 894, 81, 5897, 81, 410, 81, 1793, 81, 1347, 81, 5897, 2262, 284, 623, 2799, 26, 5478, 32, 1612, 3012, 924, 26, 324, 313, 2040, 5424, 600, 30600, 786, 436, 816, 44, 225, 38, 2131, 44, 291, 9214, 81, 5897, 81, 410, 81, 452, 81, 720, 81, 410, 26, 38, 27, 203, 589, 894, 81, 5897, 81, 410, 81, 1793, 81, 19716, 81, 5897, 2262, 284, 623, 2799, 26, 5478, 32, 1612, 3012, 924, 26, 324, 313, 2040, 5424, 600, 30600, 786, 436, 816, 44, 2107, 1772, 800, 785, 2131, 44, 291, 9214, 81, 5897, 81, 410, 81, 452, 81, 720, 81, 410, 14141, 1772, 800, 3439, 225, 41, 41, 27, 203, 589, 894, 81, 5897, 81, 410, 81, 1793, 81, 19716, 81, 1267, 2262, 284, 623, 2799, 26, 5478, 32, 18302, 924, 26, 324, 313, 2040, 4717, 600, 30600, 786, 44, 428, 35, 30, 330, 36, 785, 2131, 44, 291, 9214, 81, 5897, 81, 410, 81, 452, 81, 720, 81, 410, 2009, 35, 614, 313, 36, 657, 203, 589, 894, 81, 620, 1881, 5916, 81, 12655, 81, 2386, 2262, 284, 443, 399, 44, 291, 3097, 284, 443, 551, 26, 51, 711, 291, 3097, 284, 436, 322, 681, 328, 308, 410, 30, 1897, 30, 596, 30, 1149, 30, 5436, 30, 399, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 4, 2, 2, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 3, 2, 2, 4, 5, 5, 4, 6, 6, 0, 3, 2, 2, 4, 5, 5, 4, 6, 6, 4, 5, 7, 6, 7, 4, 0, 3, 2, 2, 4, 5, 5, 4, 6, 6, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 6, 6, 8, 7, 8, 6, 6, 7, 8, 6, 4, 4, 8, 7, 8, 8, 8, 6, 6, 8, 7, 8, 7, 2, 2, 3, 6, 7, 7, 5, 6, 6, 4, 4, 7, 6, 7, 7, 7, 5, 5, 6, 7, 5, 5, 6, 7, 7, 7, 5, 2, 2, 3, 4, 6, 6, 9, 8, 9, 7, 8, 7, 6, 8, 9, 7, 8, 7, 0, 0, 2, 4, 3, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 4, 7, 8, 6, 7, 6, 3, 3, 2, 2, 5, 6, 4, 5, 4, 2, 2, 6, 7, 6, 7, 6, 3, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 4, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 7, 8, 7, 6, 7, 6, 4, 4, 6, 5, 5, 6, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 7, 10, 9, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 7, 10, 9, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 10, 10, 10, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 7, 10, 9, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 8, 7, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 3, 3, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 1, 0, 7, 7, 0, 8, 8, 0, 1, 1, 0, 9, 9, 0, 0, 2, 1, 1, 0, 10, 10, 0, 1, 2, 2, 10, 10, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 14, 14, 1, 1, 1, 1, 1, 1, 1, 1, 2, 14, 14, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 3, 2, 4, 4, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 2, 4, 4, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 3, 2, 3, 0, 0, 0, 0, 1, 2, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 6, 6, 1, 0, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 1, 1, 1, 1, 2, 0, 17, 17, 1, 1, 1, 1, 1, 1, 2, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 18, 18, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 18, 18, 0, 1, 0, 0, 2, 2, 2, 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, 0, 19, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 19, 19, 0, 1, 0, 0, 2, 2, 2, 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, 2, 1, 3, 3, 1, 0, 20, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 20, 20, 0, 1, 0, 0, 2, 2, 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, 2, 0, 21, 21, 1, 1, 1, 1, 1, 1, 1, 1, 2, 21, 21, 0, 0, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 4, 4, 2, 1, 2, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 1070, 4354, 7427, 1188, 34031, 203, 1070, 34699, 479, 1501, 1262, 32, 751, 1188, 622, 81, 4073, 203, 751, 280, 622, 81, 4073, 4064, 426, 8223, 203, 1070, 34699, 479, 1501, 1262, 1188, 337, 270, 1052, 203, 1070, 34699, 479, 1501, 1262, 1188, 48157, 8713, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 1831, 1188, 971, 52, 81, 21518, 30, 971, 52, 81, 3728, 30, 8793, 81, 452, 81, 99, 6665, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 1188, 9643, 405, 650, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 1188, 48157, 1094, 605, 203, 1070, 34699, 479, 1501, 1262, 32, 5558, 1188, 971, 52, 81, 2852, 43839, 7885, 4152, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 728, 404, 40600, 81, 1707, 1188, 27178, 81, 3093, 265, 728, 404, 40600, 81, 95, 4463, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 2250, 16417, 81, 1707, 1188, 27178, 81, 2250, 16417, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 777, 33392, 493, 81, 1707, 1188, 27178, 81, 777, 33392, 493, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 4948, 16417, 81, 1707, 1188, 27178, 81, 4948, 16417, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 12264, 16417, 81, 1707, 1188, 27178, 81, 12264, 16417, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 12264, 38189, 81, 1707, 1188, 27178, 81, 12264, 38189, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 9059, 16417, 81, 1707, 1188, 27178, 81, 9059, 16417, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 286, 6126, 493, 81, 1707, 1188, 27178, 81, 286, 6126, 493, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 496, 16417, 81, 1707, 1188, 27178, 81, 496, 16417, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 496, 38189, 81, 1707, 1188, 27178, 81, 496, 38189, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 3018, 16417, 81, 1707, 1188, 27178, 81, 3018, 16417, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 5474, 16417, 81, 1707, 1188, 27178, 81, 5474, 16417, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 5474, 38189, 81, 1707, 1188, 27178, 81, 5474, 38189, 81, 5952, 203, 1070, 34699, 479, 1501, 1262, 32, 8463, 32, 12035, 32, 3093, 265, 6798, 32, 2795, 16417, 81, 1707, 1188, 27178, 81, 2795, 16417, 81, 5952, 203, 823, 5412, 11143, 3728, 26, 18607, 81, 3728, 30, 27178, 81, 2250, 16417, 81, 5952, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 47, 2521, 30, 5736 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 5, 5, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 0, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 0, 0, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 6, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 10, 10, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 8, 11, 11, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 12, 12, 0, 0, 0, 0, 0, 0, 13, 13, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 13, 13, 0, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 14, 14, 0, 0, 0, 0, 0, 0, 15, 15, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 15, 15, 0, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 8, 16, 16, 0, 0, 0, 0, 0, 0, 0, 17, 17, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 17, 17, 0, 0, 0, 0, 0, 0, 18, 18, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 18, 18, 0, 0, 0, 0, 0, 0, 19, 19, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 19, 19, 0, 0, 0, 0, 0, 0, 20, 20, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 20, 20, 0, 0, 0, 0, 0, 0, 21, 21, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 21, 21, 0, 0, 0, 0, 0, 0, 22, 22, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 22, 22, 0, 0, 0, 0, 0, 0, 23, 23, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 23, 23, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2 ]
[ 465, 2322, 203, 465, 12643, 203, 465, 6436, 619, 2065, 203, 1070, 2959, 34669, 32, 4535, 730, 1592, 1188, 676, 476, 314, 297, 38, 619, 21926, 203, 1070, 2959, 34669, 32, 12162, 1188, 6371, 30, 2623, 30, 2698, 203, 1070, 2959, 34669, 32, 3399, 1054, 1188, 10986, 30, 1688, 81, 761, 30, 2519, 30, 7723, 8615, 203, 1070, 2959, 34669, 32, 3378, 1188, 48836, 3653, 30, 17536, 30, 33372, 30, 5548, 2137, 30, 5104, 8736, 30, 13935, 6353, 30, 6608, 30, 6028, 4624, 30, 29112, 30, 7411, 203, 465, 2361, 262, 203, 589, 2575, 26, 858, 81, 983, 1057, 1433, 33, 24518, 33, 6893, 81, 8327, 33, 858, 7831, 284, 6492, 280, 2107, 1835, 839, 278, 307, 370, 330, 9381, 368, 1464, 370, 330, 911, 28371, 6257, 13583, 785, 284, 27009, 280, 1605, 284, 436, 2266, 328, 6492, 44, 291, 436, 1420, 328, 2155, 26, 35, 30, 36, 35, 711, 324, 5018, 280, 1491, 81, 1945, 81, 1070, 81, 1260, 81, 363, 81, 4700, 26, 858, 81, 983, 30, 1420, 30, 2266, 27, 324, 27009, 32, 1689, 26, 1479, 27, 284, 706, 280, 12643, 32, 7232, 26, 10982, 27, 284, 706, 32, 452, 81, 4700, 26, 500, 32, 983, 32, 2524, 26, 858, 81, 983, 30, 330, 1367, 81, 3222, 32, 4700, 2847, 284, 8607, 280, 706, 32, 6057, 32, 452, 81, 8442, 922, 24850, 26, 605, 32, 48507, 547, 6332, 77, 2356, 32, 12010, 463, 1808, 40, 38, 12357, 284, 706, 36, 280, 706, 32, 23444, 81, 1274, 26, 1055, 11414, 7101, 370, 330, 8216, 370, 330, 3287, 2188, 6090, 1057, 1172, 370, 2078, 47, 7982, 27, 284, 706, 36, 32, 6057, 280, 2107, 2537, 81, 34917, 1643, 26, 106, 30, 533, 27, 436, 816, 30, 533, 328, 3486, 8529, 26, 605, 36, 32, 6057, 32, 371, 81, 2649, 81, 2810, 26, 35, 471, 706, 36, 32, 6057, 32, 371, 81, 2649, 81, 2810, 26, 34, 12634, 284, 706, 36, 280, 706, 36, 32, 4534, 81, 1055, 346, 284, 706, 36, 32, 452, 81, 4700, 26, 500, 32, 983, 32, 2524, 26, 858, 81, 983, 30, 330, 1367, 81, 15216, 32, 4700, 2847, 203, 589, 1491, 81, 1945, 81, 1070, 81, 1260, 81, 363, 81, 4700, 26, 858, 81, 983, 30, 1420, 30, 2266, 711, 284, 1695, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 858, 81, 983, 30, 6611, 86, 25, 904, 1420, 27, 284, 623, 2156, 26, 500, 32, 983, 32, 2524, 26, 1439, 81, 983, 30, 313, 2184, 32, 1260, 2131, 619, 296, 44, 291, 2075, 280, 5436, 26, 1260, 32, 12474, 26, 88, 32, 850, 4251, 3028, 1157, 284, 9750, 280, 2075, 710, 7101, 785, 284, 415, 9750, 610, 330, 311, 364, 950, 291, 11583, 280, 2075, 710, 103, 81, 6299, 785, 319, 225, 36, 10065, 4348, 9750, 610, 330, 41639, 32662, 950, 291, 11583, 280, 2075, 710, 96, 81, 19625, 81, 8587, 785, 319, 2075, 710, 96, 81, 19625, 81, 8216, 785, 474, 225, 40, 10065, 4348, 9750, 610, 330, 33789, 950, 291, 11583, 280, 2075, 710, 96, 81, 575, 81, 8587, 785, 319, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 4, 4, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 4, 4, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 2, 2, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 5, 7, 8, 7, 8, 8, 7, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 6, 6, 9, 10, 9, 10, 9, 2, 2, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 11, 12, 10, 11, 11, 11, 10, 9, 8, 10, 9, 10, 8, 7, 5, 8, 7, 8, 7, 9, 9, 9, 9, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 8, 7, 10, 10, 8, 10, 10, 8, 10, 10, 6, 7, 9, 9, 6, 7, 8, 6, 2, 2, 6, 5, 6, 4, 4, 9, 9, 9, 8, 7, 8, 7, 7, 7, 5, 6, 7, 7, 6, 6, 6, 8, 12, 12, 11, 12, 10, 11, 11, 11, 11, 11, 10, 11, 10, 8, 12, 11, 12, 10, 11, 11, 11, 11, 11, 10, 11, 10, 2, 2, 5, 4, 4, 7, 6, 7, 7, 7, 6, 2, 2, 6, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 9, 9, 7, 7, 6, 2, 2, 3, 8, 12, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 12, 12, 12, 12, 6, 6, 3, 3, 3, 6, 6, 8, 13, 12, 13, 12, 15, 14, 15, 14, 11, 10, 2, 2, 4, 4, 5, 7, 7, 2, 2, 3, 4, 4, 6, 6, 6, 3, 3, 6, 6, 8, 10, 10, 10, 10, 7, 7, 8, 3, 3, 4, 5, 5, 7, 7, 7, 4, 4, 7, 7, 10, 12, 12, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 12, 12, 8, 8, 9, 3, 3, 4, 5, 5, 7, 7, 4, 4, 7, 7, 10, 12, 12, 12, 12, 12, 12, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 4, 4, 4, 4, 0, 5, 5, 0, 1, 2, 2, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 7, 7, 0, 0, 8, 8, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 1, 2, 1, 5, 2, 1, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 0, 2, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0 ]
[ 1070, 281, 4071, 1188, 3772, 53, 1339, 203, 1070, 736, 1188, 1936, 17534, 203, 823, 516, 2051, 3442, 26, 1761, 53, 1339, 711, 284, 11406, 81, 2474, 280, 313, 581, 81, 2387, 20, 284, 617, 3994, 3389, 280, 1936, 17534, 440, 1117, 225, 225, 581, 81, 2387, 81, 3994, 26, 225, 581, 81, 2387, 829, 657, 284, 617, 371, 81, 2387, 81, 761, 225, 280, 1936, 17534, 440, 1594, 28, 225, 581, 81, 2387, 81, 371, 81, 2387, 81, 761, 26, 581, 81, 2387, 14451, 284, 617, 371, 81, 1977, 81, 761, 264, 280, 1936, 17534, 440, 1594, 28, 225, 581, 81, 2387, 81, 371, 81, 1977, 81, 761, 26, 581, 81, 2387, 14451, 284, 617, 371, 81, 626, 81, 668, 958, 280, 1936, 17534, 440, 18114, 81, 668, 81, 612, 225, 581, 81, 2387, 81, 371, 81, 626, 81, 668, 26, 225, 581, 81, 2387, 829, 657, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3636, 22210, 440, 1339, 883, 646, 526, 30972, 7029, 15981, 284, 665, 622, 81, 2387, 81, 761, 26, 784, 711, 291, 442, 630, 1114, 371, 81, 2387, 81, 761, 346, 284, 665, 622, 81, 1977, 81, 761, 26, 784, 711, 291, 442, 630, 1114, 371, 81, 1977, 81, 761, 346, 284, 665, 622, 81, 1132, 81, 302, 81, 800, 26, 784, 711, 291, 2181, 81, 668, 280, 630, 1114, 371, 81, 626, 81, 668, 346, 291, 442, 3003, 4939, 2524, 14141, 2537, 1279, 16054, 1643, 26, 678, 30, 2181, 81, 668, 32, 371, 26, 678, 490, 436, 1202, 328, 2181, 81, 668, 32, 3494, 27944, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 442, 630, 32, 371, 81, 2387, 81, 761, 346, 225, 610, 1604, 32, 371, 81, 2387, 81, 761, 346, 461, 78, 3083, 630, 32, 371, 81, 1977, 81, 761, 346, 264, 610, 1604, 32, 371, 81, 1977, 81, 761, 346, 461, 78, 3083, 630, 32, 371, 81, 1132, 81, 302, 81, 800, 346, 610, 1604, 32, 371, 81, 1132, 81, 302, 81, 800, 346, 284, 665, 1156, 941, 3207, 784, 30, 1604, 711, 291, 442, 646, 630, 610, 1604, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 313, 55, 2051, 3442, 15266, 6663, 12797, 2296, 1643, 26, 324, 630, 32, 371, 81, 2387, 81, 761, 1026, 324, 630, 32, 371, 81, 1977, 81, 761, 1026, 324, 630, 32, 371, 81, 1132, 81, 302, 81, 800, 1157, 284, 665, 3741, 26, 784, 711, 291, 630, 1114, 3994, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 9, 8, 7, 12, 12, 12, 11, 10, 11, 10, 10, 13, 13, 12, 13, 12, 13, 12, 8, 9, 9, 9, 12, 12, 11, 12, 11, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 10, 11, 11, 11, 11, 11, 10, 8, 8, 8, 10, 11, 11, 11, 11, 11, 10, 7, 8, 8, 7, 10, 11, 11, 11, 11, 11, 10, 8, 8, 8, 10, 11, 11, 11, 11, 11, 10, 6, 7, 7, 6, 9, 10, 10, 10, 10, 10, 10, 10, 9, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 9, 10, 10, 10, 10, 10, 9, 7, 7, 9, 10, 10, 10, 10, 10, 9, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 8, 1, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 9, 1, 1, 1, 2, 2, 2, 9, 9, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 10, 1, 1, 1, 2, 2, 2, 10, 10, 0, 1, 1, 1, 4, 4, 11, 1, 1, 1, 2, 11, 11, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 12, 2, 1, 2, 12, 12, 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 ]
[ 465, 1133, 4280, 32, 21421, 1649, 32, 35271, 32, 11382, 619, 273, 39157, 203, 1601, 1075, 10972, 280, 273, 39157, 32, 6275, 2009, 6262, 34, 32, 35, 30, 225, 36, 32, 39, 614, 428, 36, 39, 34, 5727, 11057, 6262, 36, 32, 39, 30, 225, 36, 34, 614, 428, 34, 30, 225, 35, 34, 34, 5727, 11057, 6262, 36, 34, 30, 225, 36, 34, 34, 34, 614, 428, 36, 34, 34, 34, 5727, 11057, 6262, 36, 34, 34, 34, 614, 6262, 34, 32, 34, 35, 30, 225, 38, 37, 37, 614, 428, 35, 30, 225, 34, 32, 36, 5259, 8834, 203, 102, 1902, 10972, 280, 273, 39157, 32, 6275, 2009, 6262, 34, 32, 35, 30, 225, 35, 41, 32, 35, 38, 614, 428, 35, 36, 5727, 11057, 6262, 35, 41, 32, 35, 38, 30, 225, 35, 34, 34, 614, 428, 34, 30, 225, 34, 32, 41, 5727, 11057, 6262, 35, 34, 34, 30, 225, 35, 87, 40, 614, 6262, 39, 42, 30, 225, 35, 32, 36, 30, 225, 37, 87, 31, 38, 614, 428, 34, 30, 225, 34, 32, 39, 30, 225, 35, 5259, 8834, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 3, 4, 4, 3, 4, 3, 4, 2, 2, 3, 0, 3, 3, 3, 2, 2, 5, 4, 5, 4, 5, 8, 8, 8, 7, 7, 8, 8, 8, 7, 6, 8, 8, 8, 7, 5, 5, 8, 8, 8, 7, 7, 8, 8, 7, 6, 8, 7, 7, 8, 8, 8, 7, 5, 5, 8, 8, 7, 7, 8, 8, 8, 8, 7, 6, 8, 8, 8, 8, 7, 5, 5, 8, 8, 8, 8, 7, 6, 9, 9, 9, 9, 8, 8, 9, 9, 9, 8, 7, 9, 8, 8, 9, 9, 9, 8, 5, 0, 3, 3, 3, 2, 2, 5, 4, 5, 4, 5, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 6, 8, 8, 7, 5, 5, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 6, 8, 7, 7, 8, 8, 8, 7, 5, 5, 8, 8, 8, 7, 7, 8, 8, 8, 7, 6, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 7, 9, 8, 8, 9, 9, 9, 8, 8, 9, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 2, 2, 0, 4, 0, 6, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 5, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 3, 1, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 3, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 5, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 5, 1, 3, 1, 3, 3, 3, 3, 3, 3, 3, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 337, 405, 1028, 32, 4573, 1188, 2350, 2052, 619, 2350, 2052, 203, 1070, 337, 405, 1028, 32, 2594, 833, 1188, 9058, 203, 589, 13118, 81, 38876, 26, 1251, 30, 17163, 47, 5962, 319, 4895, 30, 1115, 5505, 44, 1665, 711, 284, 313, 264, 588, 264, 588, 264, 588, 264, 588, 264, 588, 264, 588, 264, 588, 264, 588, 264, 588, 264, 588, 284, 21916, 280, 18623, 26, 1251, 30, 313, 12704, 81, 1363, 392, 17163, 27, 284, 442, 21916, 346, 203, 9138, 81, 1867, 81, 38876, 280, 2350, 2052, 32, 4055, 8618, 5909, 26, 8662, 81, 678, 47, 8587, 32, 4055, 27, 203, 589, 617, 26315, 469, 81, 38876, 26, 270, 88, 711, 284, 415, 19326, 26, 270, 88, 77, 36, 614, 313, 26315, 469, 10280, 291, 415, 376, 88, 77, 36, 997, 26315, 469, 438, 646, 1665, 44, 324, 442, 2933, 284, 813, 44, 291, 442, 3177, 203, 26315, 469, 81, 1867, 81, 38876, 280, 2350, 2052, 32, 4055, 8618, 5909, 26, 284, 8082, 81, 678, 47, 8587, 32, 32594, 469, 4055, 30, 284, 588, 264, 2761, 11645, 26315, 469, 81, 38876, 30, 203, 27, 203, 589, 617, 3780, 6081, 327, 81, 38876, 26, 270, 88, 711, 284, 415, 19326, 26, 270, 88, 77, 36, 614, 313, 3780, 6081, 327, 10280, 291, 415, 376, 88, 77, 36, 997, 3780, 6081, 327, 438, 646, 1665, 44, 324, 442, 2933, 284, 813, 44, 291, 442, 3177, 203, 3780, 6081, 327, 81, 1867, 81, 38876, 280, 2350, 2052, 32, 4055, 8618, 5909, 26, 284, 8082, 81, 678, 47, 8587, 32, 3910, 47976, 4055, 30, 2761, 11645, 3780, 6081, 327, 81, 38876, 203, 27, 203, 9779, 9825, 280, 428, 284, 13118, 81, 38876, 30, 284, 43936, 81, 1867, 81, 38876, 30, 284, 6216, 81, 1867, 81, 38876, 30, 284, 2979, 6081, 327, 81, 1867, 81, 38876, 30, 203, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 4, 2, 2, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 4, 7, 5, 5, 7, 4, 4, 2, 1, 1, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 2, 2, 3, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 6, 6, 6, 5, 7, 6, 7, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 7, 7, 6, 7, 6, 5, 7, 7, 7, 3, 3, 5, 9, 8, 9, 8, 8, 8, 6, 6, 6, 5, 5, 5, 7, 3, 3, 4, 4, 4, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 4, 4, 6, 6, 5, 7, 6, 7, 7, 7, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 7, 7, 6, 7, 6, 5, 7, 7, 7, 7, 3, 3, 5, 9, 8, 9, 8, 8, 8, 8, 6, 6, 6, 5, 5, 5, 7, 3, 3, 4, 4, 4, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 4, 4, 6, 6, 5, 7, 6, 7, 7, 7, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 0, 3, 3, 2, 2, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 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 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 3, 3, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 5, 2, 2, 2, 7, 7, 7, 7, 7, 7, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 1070, 15246, 1188, 319, 203, 1070, 2919, 2208, 1188, 3659, 2825, 203, 465, 11412, 30, 3731, 203, 465, 310, 23326, 15814, 619, 26446, 203, 465, 6436, 619, 2065, 203, 589, 3345, 5086, 26, 6363, 30, 2181, 711, 334, 1459, 2181, 334, 1509, 15814, 280, 2181, 77, 34, 79, 334, 1688, 15814, 280, 2181, 77, 35, 79, 334, 328, 72, 10432, 280, 26446, 32, 850, 72, 10432, 26, 1131, 15814, 293, 334, 310, 9978, 280, 328, 72, 10432, 32, 936, 1943, 750, 922, 936, 12657, 9978, 346, 334, 1417, 4109, 280, 1605, 334, 436, 831, 328, 2155, 26, 34, 30, 96, 9978, 711, 284, 1417, 4109, 32, 1689, 26, 266, 72, 10432, 32, 936, 1943, 750, 922, 936, 1261, 558, 26, 93, 490, 334, 1459, 1417, 4109, 334, 436, 636, 328, 1417, 4109, 44, 284, 328, 72, 10432, 32, 936, 1943, 750, 922, 4913, 1261, 26, 426, 27, 334, 26446, 32, 1821, 72, 10432, 26, 2024, 15814, 30, 328, 72, 10432, 27, 203, 589, 2575, 26, 6363, 30, 6184, 711, 334, 1509, 15814, 280, 6184, 77, 34, 79, 334, 1688, 15814, 280, 6184, 77, 35, 79, 334, 328, 72, 10432, 280, 26446, 32, 850, 72, 10432, 26, 1131, 15814, 293, 334, 415, 308, 6363, 32, 12595, 610, 313, 34, 10280, 284, 11412, 6308, 280, 11412, 32, 6308, 26, 1676, 26, 6363, 32, 4700, 761, 30, 313, 100, 2131, 334, 4348, 308, 6363, 32, 12595, 610, 313, 35, 10280, 284, 11412, 6308, 280, 11412, 32, 6308, 26, 1676, 26, 6363, 32, 4700, 761, 30, 313, 100, 2113, 19713, 12483, 683, 334, 4348, 308, 6363, 32, 12595, 610, 313, 36, 10280, 284, 11412, 6308, 280, 11412, 32, 6308, 26, 1676, 26, 6363, 32, 4700, 761, 30, 313, 100, 2113, 19713, 34155, 102, 683, 334, 1932, 280, 11412, 6308, 32, 1978, 346, 334, 415, 308, 6363, 32, 2111, 711, 284, 3338, 280, 1932, 284, 1932, 280, 11412, 6308, 32, 1978, 346, 334, 415, 308, 6363, 32, 4243, 863, 7746, 44, 284, 3338, 280, 6410, 32, 4243, 32, 2998, 45830, 334, 1459, 3338, 334, 310, 19911, 280, 2069, 26, 2232, 27, 334, 310, 6834, 280, 328, 72, 10432, 32, 936, 12657, 6834, 346, 5235, 706, 280, 2065, 32, 9880, 2009, 96, 6834, 30, 96, 19911, 1130, 334, 436, 831, 328, 2155, 26, 34, 30, 96, 19911, 711, 284, 706, 77, 34, 30, 93, 79, 280, 1897, 26, 2232, 77, 93, 1130, 334, 1459, 5100, 4981, 9318, 310, 6834, 334, 436, 594, 328, 2155, 26, 35, 30, 96, 6834, 711, 284, 1459, 594, 284, 1932, 280, 11412, 6308, 32, 1978, 346, 284, 436, 831, 328, 2155, 26, 34, 30, 96, 19911, 711, 397, 706, 77, 92, 30, 93, 79, 280, 1897, 26, 2232, 77, 93, 1130, 334, 436, 831, 328, 2155, 26, 34, 30, 96, 19911, 711, 284, 5923, 280, 15246, 4075, 1261, 346, 284, 415, 308, 1657, 26, 2111, 27, 848, 225, 34, 711, 397, 5923, 32, 26357, 26, 2111, 77, 93, 1130, 284, 5923, 32, 885, 12657, 46876, 26, 96, 6834, 27, 284, 436, 594, 328, 2155, 26, 34, 30, 96, 6834, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 3, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 2, 2, 5, 4, 4, 5, 6, 5, 2, 2, 5, 4, 4, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 9, 9, 8, 9, 9, 9, 8, 7, 7, 7, 6, 2, 2, 5, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 6, 6, 5, 3, 3, 8, 7, 8, 7, 12, 12, 12, 11, 12, 12, 12, 11, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 2, 2, 3, 3, 3, 4, 3, 3, 3, 10, 10, 9, 10, 10, 10, 9, 8, 8, 7, 8, 7, 2, 2, 5, 6, 6, 6, 5, 6, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 5, 4, 4, 5, 6, 5, 2, 2, 5, 4, 4, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 7, 7, 6, 2, 2, 3, 7, 6, 7, 5, 5, 7, 7, 3, 3, 7, 6, 6, 8, 9, 8, 10, 10, 12, 11, 12, 12, 10, 10, 12, 12, 3, 3, 4, 8, 7, 8, 6, 6, 8, 8, 4, 4, 8, 7, 7, 9, 10, 9, 11, 11, 13, 12, 13, 13, 11, 11, 13, 13, 9, 10, 12, 3, 3, 4, 8, 7, 8, 6, 6, 8, 8, 4, 4, 8, 7, 7, 9, 10, 9, 11, 11, 13, 12, 13, 13, 11, 11, 13, 13, 9, 10, 13, 12, 2, 2, 4, 4, 7, 6, 7, 6, 2, 2, 3, 6, 5, 6, 4, 3, 3, 6, 6, 4, 4, 6, 6, 9, 8, 9, 8, 2, 2, 3, 7, 6, 7, 5, 5, 3, 3, 3, 6, 6, 9, 10, 8, 9, 8, 2, 2, 3, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 7, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 7, 8, 8, 7, 2, 2, 3, 3, 3, 5, 6, 5, 6, 6, 5, 3, 3, 7, 8, 7, 8, 7, 6, 6, 8, 10, 9, 10, 9, 2, 2, 3, 5, 5, 3, 4, 2, 2, 3, 3, 3, 5, 6, 5, 6, 6, 5, 3, 3, 5, 4, 4, 6, 6, 9, 8, 9, 8, 4, 4, 5, 5, 5, 7, 8, 7, 8, 8, 7, 5, 5, 9, 10, 9, 10, 9, 8, 8, 10, 12, 11, 12, 11, 2, 2, 3, 3, 3, 5, 6, 5, 6, 6, 5, 3, 3, 6, 6, 8, 8, 8, 4, 4, 5, 9, 9, 10, 9, 7, 7, 8, 6, 5, 5, 9, 10, 9, 11, 10, 11, 10, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 5, 5, 5, 7, 8, 7, 8, 8, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 3, 0, 0, 4, 4, 0, 0, 1, 1, 0, 5, 5, 1, 1, 0, 6, 6, 1, 2, 1, 2, 2, 2, 6, 6, 0, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 4, 4, 7, 7, 7, 1, 1, 1, 3, 3, 1, 7, 7, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 8, 1, 4, 4, 9, 9, 9, 3, 9, 9, 9, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 0, 7, 7, 2, 1, 2, 2, 2, 7, 7, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 4, 4, 4, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 3, 2, 4, 4, 5, 0, 0, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 3, 0, 2, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 6, 0, 1, 2, 1, 6, 6, 0, 0, 3, 3, 0, 0, 0, 0, 2, 1, 4, 4, 7, 0, 0, 2, 1, 1, 7, 7, 7, 0, 0, 0, 2, 0, 2, 1, 4, 4, 8, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 12, 12, 12, 1, 1, 1, 3, 3, 1, 12, 12, 0, 2, 0, 4, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 13, 1, 1, 13, 3, 4, 4, 14, 14, 14, 1, 1, 1, 3, 3, 1, 14, 14, 0, 5, 5, 0, 0, 0, 0, 2, 1, 5, 5, 2, 2, 2, 1, 1, 1, 3, 3, 1, 2, 2, 0, 2, 0, 4, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 15, 15, 15, 1, 1, 1, 3, 3, 1, 15, 15, 0, 0, 0, 0, 1, 5, 5, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 5, 5, 3, 3, 3, 1, 1, 1, 3, 3, 1 ]
[ 465, 2322, 203, 1070, 23983, 32, 98, 2376, 32, 12443, 32, 3259, 1188, 11540, 2922, 203, 1070, 23983, 32, 98, 2376, 32, 12443, 32, 6857, 81, 9277, 1188, 47365, 9672, 203, 1070, 23983, 32, 98, 2376, 32, 12443, 32, 1793, 81, 11250, 1188, 10057, 1554, 14813, 203, 823, 971, 3149, 2922, 26, 4292, 2922, 30, 10057, 1554, 14813, 711, 334, 665, 1156, 1664, 3207, 784, 30, 636, 30, 10849, 30, 6440, 30, 3083, 11246, 101, 47, 2521, 30, 3083, 1968, 4545, 47, 2521, 30, 3083, 438, 81, 2859, 47, 2700, 30, 3083, 18353, 47, 2521, 711, 284, 11540, 2922, 3667, 1664, 3207, 784, 30, 636, 30, 6440, 30, 438, 81, 2859, 27, 284, 10057, 1554, 14813, 3667, 1664, 3207, 784, 30, 636, 30, 438, 81, 2859, 27, 284, 630, 32, 26549, 81, 10950, 280, 739, 26, 10950, 556, 11544, 284, 630, 32, 669, 81, 1172, 463, 23505, 683, 284, 630, 32, 11250, 280, 630, 1114, 5284, 81, 8478, 26, 784, 32, 1977, 81, 1439, 30, 10849, 27, 556, 1605, 284, 436, 1914, 328, 630, 32, 11250, 44, 397, 1875, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 1977, 81, 1439, 30, 1914, 27, 397, 10057, 1554, 14813, 32, 3317, 81, 1855, 26, 2808, 81, 983, 30, 630, 27, 284, 630, 32, 10444, 101, 280, 11246, 101, 556, 1605, 284, 630, 32, 1832, 4545, 280, 1968, 4545, 556, 1605, 284, 3115, 81, 692, 2593, 280, 6611, 101, 32, 2593, 25, 904, 630, 32, 426, 284, 1968, 761, 280, 630, 32, 2468, 32, 1832, 761, 32, 2620, 81, 983, 284, 3115, 81, 692, 2593, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 1832, 761, 471, 3115, 81, 692, 2593, 27, 284, 630, 32, 2988, 81, 692, 2593, 81, 983, 280, 3115, 81, 692, 2593, 81, 983, 415, 2322, 32, 983, 32, 4658, 26, 2988, 81, 692, 2593, 81, 983, 27, 813, 1665, 284, 630, 32, 32483, 280, 18353, 334, 665, 617, 302, 81, 6857, 81, 9277, 26, 784, 711, 284, 22351, 81, 9277, 30, 4950, 617, 280, 630, 1114, 371, 81, 8651, 81, 1338, 346, 284, 22351, 280, 47365, 9672, 26, 1088, 280, 22351, 81, 9277, 32, 1088, 30, 636, 280, 22351, 81, 9277, 32, 426, 30, 14093, 280, 1665, 27, 284, 22351, 32, 314, 280, 630, 32, 314, 284, 442, 22351, 334, 665, 617, 302, 81, 6857, 81, 10950, 26, 784, 711, 284, 6761, 630, 1114, 302, 81, 6857, 81, 9277, 346, 334, 665, 617, 371, 81, 8651, 81, 1338, 26, 784, 711, 284, 7367, 280, 630, 1114, 48356, 346, 284, 21148, 280, 1560, 26, 48356, 27, 284, 1086, 280, 7367, 32, 1088, 415, 21148, 813, 330, 3259, 25, 284, 2297, 280, 7367, 32, 426, 415, 21148, 813, 630, 32, 314, 284, 1503, 280, 7367, 32, 9882, 415, 21148, 813, 1665, 284, 804, 280, 5461, 101, 9299, 101, 20, 904, 308, 48356, 32, 1088, 30, 7367, 32, 426, 27, 415, 21148, 813, 630, 32, 314, 284, 442, 47365, 9672, 26, 1088, 280, 1086, 30, 636, 280, 2297, 30, 14093, 280, 1503, 471, 804 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 10, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 4, 4, 7, 8, 6, 6, 9, 10, 10, 10, 9, 11, 10, 11, 11, 11, 9, 9, 9, 7, 7, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 12, 12, 10, 10, 10, 6, 6, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 8, 7, 7, 4, 4, 7, 8, 8, 6, 6, 8, 7, 7, 4, 4, 7, 7, 7, 6, 6, 9, 9, 9, 9, 7, 7, 8, 9, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 7, 8, 8, 8, 4, 4, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 10, 10, 10, 9, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 8, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 8, 10, 9, 9, 11, 11, 10, 11, 8, 8, 9, 9, 11, 11, 10, 11, 8, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 6, 6, 8, 9, 7, 7, 7, 7, 9, 9, 4, 4, 6, 6, 8, 9, 7, 7, 7, 7, 8, 9, 4, 4, 6, 6, 8, 9, 7, 7, 7, 7, 4, 4, 6, 6, 10, 10, 10, 10, 8, 8, 11, 10, 11, 9, 9, 10, 11, 9, 7, 7, 7, 7, 8, 9, 4, 4, 5, 8, 8, 10, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 6 ]
[ 0, 0, 0, 1, 1, 1, 2, 2, 1, 4, 1, 6, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 4, 1, 6, 6, 6, 2, 2, 0, 0, 3, 3, 1, 2, 2, 1, 4, 1, 6, 6, 6, 3, 3, 0, 0, 0, 4, 4, 1, 1, 2, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 9, 2, 2, 2, 2, 0, 11, 2, 2, 2, 2, 0, 0, 13, 2, 2, 2, 2, 15, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 5, 5, 5, 3, 2, 5, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 3, 3, 0, 0, 2, 2, 1, 1, 5, 5, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 2, 4, 4, 6, 0, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1 ]
[ 465, 2322, 203, 465, 10343, 203, 1070, 638, 14481, 1188, 4925, 81, 13387, 69, 203, 41296, 81, 2399, 280, 2107, 81, 101, 479, 45422, 32, 28144, 39, 370, 8982, 7610, 2692, 492, 3096, 32, 28144, 39, 370, 8982, 7610, 5905, 32, 28144, 39, 370, 8982, 7610, 410, 1229, 2105, 32, 28144, 39, 370, 8982, 7610, 15006, 81, 12505, 32, 28144, 39, 370, 400, 7610, 1113, 3287, 32, 25389, 370, 400, 5608, 105, 468, 32, 3969, 370, 400, 7610, 5905, 64, 32, 28144, 39, 25, 400, 1481, 203, 16507, 81, 2399, 280, 2107, 32, 1645, 370, 5608, 10561, 370, 5608, 3072, 370, 5608, 28102, 370, 5608, 37002, 370, 5608, 25108, 785, 203, 589, 3345, 81, 407, 26, 10555, 711, 284, 436, 316, 4789, 328, 11567, 527, 16769, 81, 2399, 44, 291, 415, 18146, 32, 20643, 26, 268, 4789, 711, 324, 442, 18146, 32, 3227, 26, 268, 4789, 30, 9142, 284, 442, 2322, 32, 983, 32, 48271, 26, 10555, 5594, 34, 79, 203, 589, 622, 81, 1439, 81, 426, 26, 10555, 711, 284, 442, 2322, 32, 983, 32, 15705, 26, 2546, 81, 407, 26, 10555, 490, 203, 589, 7084, 81, 43322, 26, 7318, 81, 1515, 30, 4707, 81, 43322, 30, 537, 81, 43322, 711, 284, 4707, 81, 1515, 280, 2322, 32, 983, 32, 19573, 49149, 26, 7318, 81, 1515, 27, 284, 1361, 1515, 81, 668, 280, 4707, 81, 1515, 32, 2998, 26, 500, 32, 12595, 27, 284, 436, 12367, 328, 2155, 26, 1657, 26, 43322, 81, 668, 29856, 23523, 35, 2786, 291, 415, 1361, 1515, 81, 668, 77, 3643, 79, 610, 4707, 81, 43322, 44, 324, 1361, 1515, 81, 668, 77, 3643, 79, 280, 537, 81, 43322, 324, 1626, 284, 415, 12367, 610, 225, 34, 44, 291, 415, 1361, 1515, 81, 668, 6448, 35, 79, 610, 40496, 324, 3555, 1361, 1515, 81, 668, 6448, 35, 79, 291, 1361, 1515, 81, 668, 32, 1689, 26, 890, 81, 43322, 27, 284, 442, 308, 500, 32, 12595, 547, 2524, 26, 43322, 81, 668, 27, 203, 589, 4131, 81, 10454, 81, 1274, 26, 761, 81, 426, 30, 8844, 81, 1274, 30, 1858, 81, 426, 711, 284, 4878, 81, 4875, 955, 280, 8844, 81, 1274, 32, 452, 81, 11541, 26, 1055, 47, 2700, 27, 284, 623, 10343, 32, 974, 26, 761, 81, 426, 30, 313, 100, 36998, 619, 27650, 44, 291, 343, 378, 81, 426, 280, 1858, 81, 426, 474, 7610, 86, 25, 291, 415, 13637, 474, 343, 378, 81, 426, 328, 27650, 44, 324, 27650, 32, 2546, 81, 1251, 19468, 343, 378, 81, 426, 27, 291, 537, 70, 280, 27650, 32, 1297, 81, 1274, 26, 324, 26610, 324, 343, 378, 81, 426, 30, 324, 2830, 47, 3007, 81, 4875, 955, 30, 324, 10582, 47, 6947, 81, 13387, 69, 27, 291, 3610, 70, 280, 27650, 32, 371, 81, 1251, 3247, 25, 474, 1858, 81, 426, 27, 291, 3610, 81, 1132, 280, 428, 106, 436, 816, 328, 4921, 26, 1455, 70, 1114, 104, 81, 10407, 27, 415, 646, 816, 32, 15990, 14728, 12357, 291, 436, 1202, 328, 3610, 81, 1132, 44, 324, 415, 646, 1202, 328, 537, 70, 1114, 104 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 7, 8, 7, 8, 8, 7, 5, 5, 7, 9, 10, 9, 10, 10, 9, 9, 2, 2, 3, 7, 8, 6, 7, 6, 7, 6, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 7, 8, 6, 2, 2, 3, 3, 3, 6, 8, 8, 9, 9, 9, 8, 5, 7, 4, 3, 3, 5, 8, 8, 8, 7, 8, 7, 6, 6, 7, 7, 5, 5, 5, 10, 10, 10, 9, 10, 9, 8, 8, 9, 9, 6, 6, 2, 2, 3, 4, 4, 5, 3, 3, 3, 5, 8, 8, 8, 7, 9, 7, 6, 6, 5, 5, 7, 9, 9, 9, 8, 10, 8, 4, 4, 8, 8, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 8, 7, 8, 6, 6, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 3, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 7, 7, 7, 6, 6, 8, 8, 7, 7, 9, 9, 4, 4, 5, 7, 7, 8, 8, 8, 6, 6, 5, 5, 5, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8, 9, 10, 10, 10, 10, 8, 8, 8, 9, 10, 10, 10, 10, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 11, 9, 9, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 7, 8, 8, 8, 10, 12, 12, 11, 12, 12, 12, 10, 7, 8, 9, 11, 12, 11, 13, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 7, 9, 10, 10, 12, 11, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 7, 7, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 3, 3, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 3, 3, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 3, 3, 3, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 5, 2, 2, 2, 2, 1, 1, 1, 7, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 3, 1, 0, 2, 1, 2, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 0, 0, 1, 1, 0, 2, 2 ]
[ 21, 203, 21, 1070, 28401, 32, 1262, 32, 31079, 32, 5983, 1188, 8145, 3373, 203, 21, 203, 21, 7390, 280, 8145, 3373, 346, 203, 7390, 32, 669, 81, 1906, 440, 105, 29055, 101, 657, 203, 7390, 32, 15485, 1365, 105, 29055, 101, 6494, 669, 81, 5301, 440, 2243, 392, 596, 30, 313, 1382, 4201, 432, 322, 47572, 101, 392, 313, 11580, 2558, 657, 203, 7390, 32, 15485, 1365, 105, 29055, 101, 6494, 669, 81, 5301, 440, 887, 392, 1897, 30, 313, 1382, 9340, 47572, 392, 225, 34, 32, 34, 39, 27, 203, 7390, 32, 15485, 1365, 105, 29055, 101, 6494, 669, 81, 5301, 440, 1449, 392, 1897, 30, 313, 1382, 7091, 47572, 392, 225, 35, 34, 34, 34, 27, 203, 7390, 32, 15485, 1365, 105, 29055, 101, 6494, 669, 81, 5301, 440, 96, 3953, 392, 629, 30, 313, 1382, 1451, 432, 47572, 4981, 392, 225, 37, 34, 34, 27, 203, 7390, 32, 15485, 1365, 105, 29055, 101, 6494, 669, 81, 5301, 440, 887, 81, 11464, 392, 1897, 30, 313, 1382, 1847, 3876, 47572, 432, 322, 1288, 604, 1967, 31, 266, 5102, 392, 225, 35, 27, 203, 7390, 32, 15485, 1365, 105, 29055, 101, 6494, 669, 81, 5301, 440, 1449, 81, 11464, 392, 1897, 30, 313, 1382, 7091, 47572, 432, 322, 1288, 604, 1967, 31, 266, 5102, 392, 225, 37, 34, 27, 203, 7390, 32, 15485, 1365, 105, 29055, 101, 6494, 669, 81, 5301, 440, 96, 3953, 81, 11464, 392, 629, 30, 313, 1382, 1451, 432, 47572, 4981, 328, 322, 1288, 604, 1967, 31, 266, 5102, 392, 225, 37, 34, 34, 27, 203, 7390, 32, 669, 81, 5301, 440, 5043, 392, 1897, 30, 313, 1382, 1451, 432, 2674, 20057, 7599, 1292, 47572, 392, 225, 35, 87, 40, 27, 203, 7390, 32, 669, 81, 5301, 440, 784, 360, 2960, 467, 392, 1560, 30, 313, 105, 4208, 630, 31, 360, 2960, 467, 1395, 526, 5887, 392, 2933, 27, 203, 7390, 32, 669, 81, 5301, 440, 7001, 392, 596, 30, 313, 1382, 6562, 3408, 544, 1510, 372, 11303, 322, 43145, 392, 313, 96, 10360, 657, 203, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 0, 6, 5, 6, 4, 6, 6, 6, 6, 4, 4, 4, 3, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 0, 6, 5, 6, 4, 6, 6, 6, 6, 4, 4, 4, 3, 5, 5, 3, 3, 3, 5, 5, 5, 5, 3, 4, 4, 4, 4, 3, 0, 6, 5, 6, 4, 6, 6, 6, 6, 4, 4, 4, 3, 5, 5, 3, 3, 3, 5, 5, 5, 5, 3, 4, 4, 4, 4, 3, 0, 6, 5, 6, 4, 6, 6, 6, 6, 4, 4, 4, 3, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 3, 0, 6, 5, 6, 4, 6, 6, 6, 6, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 3, 0, 6, 5, 6, 4, 6, 6, 6, 6, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 3, 0, 6, 5, 6, 4, 6, 6, 6, 6, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 7, 7, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 7, 7, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 7, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 7, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 7, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 465, 2322, 203, 1070, 2322, 32, 983, 1188, 7140, 30, 438, 1515, 203, 1070, 594, 2842, 32, 4765, 3779, 32, 24364, 1188, 5575, 203, 1070, 594, 2842, 32, 4765, 3779, 32, 2416, 1188, 6833, 203, 1070, 594, 2842, 32, 4765, 3779, 32, 4266, 1188, 5575, 6435, 203, 1070, 594, 2842, 32, 4765, 3779, 32, 4266, 1188, 7502, 2861, 203, 1070, 594, 2842, 32, 4765, 3779, 32, 4266, 1188, 28805, 203, 823, 5381, 2205, 4470, 26, 18986, 32, 7233, 711, 284, 665, 894, 7546, 2205, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 965, 463, 2912, 555, 1425, 2933, 27, 284, 665, 894, 68, 5207, 2205, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 965, 463, 3666, 1119, 555, 1425, 2933, 27, 284, 665, 894, 39175, 2205, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 965, 463, 9404, 555, 1425, 2933, 27, 284, 665, 894, 2217, 2205, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 965, 463, 525, 555, 1425, 2933, 27, 284, 665, 894, 37580, 2205, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 965, 463, 641, 555, 1425, 2933, 27, 284, 665, 894, 974, 2205, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 965, 463, 761, 555, 1425, 2933, 27, 284, 665, 894, 8418, 5506, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 965, 463, 19370, 555, 1425, 3177, 27, 284, 665, 894, 37522, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 965, 463, 1425, 3177, 27, 284, 665, 894, 7546, 39175, 2205, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 965, 463, 2912, 50, 933, 32, 508, 44, 60, 2842, 33, 92, 2842, 32, 4765, 3779, 1425, 2933, 27, 203, 823, 5381, 16219, 4470, 26, 7546, 6435, 711, 284, 665, 894, 16219, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 18138, 26, 784, 32, 1320, 1515, 471, 2933, 27, 284, 665, 894, 1721, 1515, 1419, 16219, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 18138, 26, 2524, 26, 784, 32, 1320, 1515, 30, 330, 858, 1320, 13356, 2933, 27, 284, 665, 894, 1337, 7530, 26, 784, 711, 291, 2197, 95, 280, 5575, 346, 291, 630, 32, 5299, 26, 24364, 32, 297, 81, 1327, 81, 18138, 463, 3986, 1425, 3177, 27, 284, 665, 894, 1337, 1192, 476, 26, 784, 711, 291, 2197, 95, 280, 5575, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 10, 11, 11, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 13, 12, 13, 13, 11, 11, 13, 13, 13, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 0, 5, 5, 0, 1, 2, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 2, 1, 4, 6, 6, 0, 0, 7, 7, 0, 1, 2, 2, 1, 4, 7, 7, 0, 8, 8, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 7, 1, 2, 1, 2, 7, 7, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 9, 9, 1, 1, 2, 1, 1, 2, 9, 9, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1 ]
[ 465, 11412, 203, 465, 46436, 203, 1070, 46436, 32, 30066, 1188, 3594, 81, 30066, 203, 465, 802, 203, 1070, 46436, 1188, 3400, 81, 2142, 203, 1070, 485, 1229, 449, 32, 3378, 32, 1112, 36, 3137, 1188, 10211, 36, 5970, 203, 1070, 485, 1229, 449, 1188, 2491, 2304, 203, 1070, 6436, 1188, 1417, 30, 1897, 37, 36, 619, 22757, 203, 1070, 13134, 32, 5176, 1188, 27837, 6536, 61, 41226, 30, 1224, 41226, 203, 1070, 43008, 1188, 23133, 203, 1070, 13625, 1188, 18609, 203, 761, 280, 330, 10705, 32, 35, 40, 34, 34, 34, 34, 34, 32, 15192, 32, 1347, 405, 366, 1566, 36, 32, 4700, 25, 203, 3963, 280, 3037, 5804, 66, 392, 313, 5804, 392, 313, 64, 3020, 1446, 203, 96, 6933, 280, 225, 35, 34, 34, 34, 203, 24708, 483, 280, 225, 35, 34, 34, 34, 203, 96, 27953, 81, 93, 23013, 280, 225, 35, 203, 5729, 280, 3177, 203, 1092, 21529, 280, 3037, 812, 392, 313, 812, 105, 392, 313, 812, 951, 392, 313, 812, 1499, 392, 313, 90, 17109, 392, 313, 42067, 392, 313, 23772, 392, 313, 105, 4213, 392, 313, 3078, 392, 313, 107, 395, 392, 313, 525, 392, 313, 1499, 392, 313, 508, 392, 313, 2371, 392, 313, 2371, 90, 392, 313, 2371, 10429, 392, 313, 757, 1446, 203, 589, 28671, 26, 21334, 711, 203, 202, 2094, 81, 21334, 280, 3330, 203, 202, 91, 280, 429, 35, 203, 202, 3997, 280, 1605, 203, 202, 1294, 81, 21334, 280, 26756, 203, 202, 979, 663, 328, 802, 32, 98, 24661, 32, 3227, 27449, 1461, 657, 474, 802, 32, 17980, 44, 357, 202, 21334, 280, 26756, 32, 3227, 26, 380, 30, 313, 7788, 203, 202, 21334, 81, 966, 280, 2149, 203, 202, 325, 7216, 44, 357, 202, 21334, 280, 26756, 32, 5729, 346, 203, 202, 1270, 44, 357, 202, 452, 5505, 280, 3594, 81, 30066, 26, 21334, 27, 357, 202, 966, 280, 3400, 81, 2142, 26, 452, 5505, 27, 357, 202, 3997, 280, 428, 98, 436, 298, 328, 3400, 415, 298, 77, 35, 79, 328, 5911, 79, 203, 202, 7343, 44, 357, 202, 4617, 203, 202, 325, 26, 1657, 26, 3997, 8531, 357, 202, 21334, 81, 966, 1365, 5804, 1446, 280, 8348, 357, 202, 2094, 81, 21334, 280, 26756, 81, 966, 203, 202, 601, 2152, 81, 21334, 203, 1294, 280, 1605, 203, 1793, 2156, 26, 761, 30, 330, 4506, 683, 619, 11412, 761, 44, 357, 202, 1286, 280, 11412, 32, 6308, 26, 4700, 761, 30, 19713, 12483, 370, 15358, 1594, 19069, 683, 357, 202, 979, 2698, 328, 1795, 44, 355, 202, 21334, 280, 2698, 77, 39, 79, 355, 202, 1294, 32, 1689, 26, 21334, 27, 203, 98, 280, 23133, 26, 40, 27, 203, 38290, 280, 298, 32, 1110, 26, 32623, 30, 5081, 27, 203, 102, 35, 280, 1605, 203, 102, 36, 280, 1605, 203, 979, 595, 328, 2155, 26, 1657, 26, 38290, 8531, 203, 202, 325, 2069, 26, 38290, 77, 91, 10794, 357, 202, 102, 35, 32, 1689, 26, 1294, 77, 91, 1130, 357, 202, 102, 36, 32, 1689, 26, 38290, 77, 91, 1130, 203, 1294, 280, 273, 35, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 0, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 6, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 3, 7, 8, 8, 6, 7, 6, 8, 8, 4, 4, 5, 6, 3, 3, 3, 7, 6, 6, 8, 9, 8, 9, 8, 8, 10, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 3, 3, 7, 6, 6, 8, 9, 8, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 6, 6, 8, 8, 8, 9, 9, 8, 4, 4, 7, 6, 6, 8, 7, 8, 8, 8, 7, 8, 10, 11, 10, 9, 9, 7, 3, 3, 4, 4, 4, 4, 6, 2, 2, 3, 4, 6, 6, 7, 6, 3, 3, 8, 8, 8, 7, 9, 9, 6, 6, 4, 4, 7, 7, 7, 6, 6, 7, 7, 2, 2, 3, 3, 4, 4, 0, 3, 2, 2, 0, 1, 1, 6, 7, 6, 6, 8, 8, 4, 4, 6, 1, 1, 1, 5, 4, 4, 6, 7, 6, 7, 7, 6, 6, 7, 9, 6, 8, 7, 9, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 6, 6, 7, 8, 7, 4, 4, 8, 7, 8, 7, 8, 7, 0, 3, 2, 2, 4, 5, 4, 0, 3, 2, 2, 4, 5, 4, 5, 4, 4, 4, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 5, 5, 6, 5, 1, 1, 3, 3, 5, 7, 6, 7, 6, 3, 3, 8, 8, 7, 8, 7, 9, 8, 9, 8, 4, 4, 8, 8, 7, 8, 7, 9, 8, 9, 8, 0, 3, 2, 2, 3, 0 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 5, 5, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 10, 10, 10, 10, 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, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 18, 18, 2, 1, 2, 18, 18, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 2, 2, 0, 2, 1, 2, 1, 3, 3, 2, 2, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 4, 4, 6, 6, 6, 6, 6, 0, 0, 0, 0, 2, 1, 4, 4, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 0, 2, 0, 1, 1, 2, 7, 7, 3, 3, 3, 3, 0, 4, 4, 8, 1, 0, 1, 1, 1, 8, 8, 0, 0, 0, 0, 1, 2, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 4, 4, 9, 9, 1, 1, 0, 0, 0, 0, 0, 20, 20, 1, 1, 1, 1, 1, 2, 0, 0, 0, 20, 20, 20, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 0, 5, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 25, 25, 25, 1, 0, 1, 1, 1, 25, 25, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0 ]
[ 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 858, 32, 1580, 1188, 4448, 2214, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2244, 8688, 1240, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 11123, 27209, 203, 1070, 21361, 32, 4338, 1188, 1682, 3402, 571, 1462, 203, 1070, 1256, 32, 3378, 1188, 2680, 30, 34032, 30, 19256, 19939, 21622, 203, 823, 1682, 571, 1462, 1006, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 5792, 280, 4448, 2214, 346, 291, 630, 32, 9855, 81, 15765, 21622, 280, 19256, 19939, 21622, 32, 5740, 32, 1297, 81, 496, 26, 1935, 1057, 27838, 50, 27838, 32, 508, 370, 3882, 1057, 15519, 4945, 35, 36, 683, 291, 630, 32, 16981, 280, 34032, 32, 5740, 32, 1297, 81, 496, 26, 1935, 1057, 16981, 50, 16981, 32, 508, 370, 17739, 3882, 1057, 15519, 4945, 35, 36, 370, 17739, 390, 7414, 1057, 41, 36, 42, 39, 34, 41, 37, 39, 370, 17739, 632, 56, 1057, 3698, 370, 17739, 11297, 1057, 4349, 302, 1999, 18678, 370, 17739, 44440, 1057, 1465, 83, 38397, 370, 17739, 31616, 1057, 52, 315, 331, 225, 36, 1910, 54, 225, 41, 34, 35, 683, 291, 630, 32, 496, 280, 2680, 32, 5740, 32, 1297, 81, 496, 26, 1935, 1057, 496, 50, 496, 32, 508, 370, 3882, 1057, 15519, 4945, 35, 36, 683, 284, 665, 894, 87, 81, 16320, 81, 371, 81, 16320, 81, 12655, 81, 3615, 26, 784, 711, 291, 1326, 280, 630, 32, 5792, 32, 371, 3247, 16320, 33, 668, 81, 2988, 81, 327, 1462, 25844, 291, 1326, 32, 496, 280, 2244, 8688, 1240, 346, 291, 1789, 280, 1682, 3402, 571, 1462, 32, 302, 81, 1071, 18627, 1357, 27, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 37, 34, 36, 27, 284, 665, 894, 87, 81, 16320, 81, 371, 81, 16320, 81, 1793, 81, 16981, 26, 784, 711, 291, 1326, 280, 630, 32, 5792, 32, 371, 3247, 16320, 33, 668, 81, 2988, 81, 327, 1462, 25844, 291, 1326, 32, 496, 280, 630, 32, 16981, 291, 623, 630, 32, 23895, 26, 7040, 27209, 711, 324, 1682, 3402, 571, 1462, 32, 302, 81, 1071, 18627, 1357, 27, 284, 665, 894, 87, 81, 16320, 81, 371, 81, 16320, 81, 1793, 81, 496, 26, 784, 711, 291, 1326, 280, 630, 32, 5792, 32, 371, 3247, 16320, 33, 668, 81, 2988, 81, 327, 1462, 25844, 291, 1326, 32, 496, 280, 630, 32, 496, 291, 623, 630, 32, 23895, 26, 7040, 27209, 711, 324, 1682, 3402, 571, 1462, 32, 302, 81, 1071, 18627, 1357, 27, 284, 665, 894, 87, 81, 16320, 81, 371, 81, 16320, 81, 1793, 81, 9855, 81, 15765, 21622, 26, 784, 711, 291, 1326, 280, 630, 32, 5792, 32, 371, 3247, 16320, 33, 668, 81, 2988, 81, 327, 1462, 25844, 291, 1326, 32, 496, 280, 630, 32, 9855, 81, 15765, 21622, 291, 1789, 280, 1682, 3402, 571, 1462, 32, 302, 81, 1071, 18627, 1357, 27, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 36, 34, 34, 27, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 10, 10, 9, 10, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 11, 11, 8, 9, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 8, 8, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 9, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 8, 8, 10, 11, 11, 11, 11, 8, 8, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 4, 8, 7, 8, 6, 10, 9, 10, 8, 9, 9, 9, 8, 10, 11, 11, 11, 11, 11, 11, 8, 10, 11, 11, 11, 11, 11, 8, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 7, 6, 10, 9, 10, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 4, 8, 7, 8, 6, 8, 8, 8, 8, 4, 7, 6, 10, 10, 10, 10, 9, 10, 10, 10, 8, 9, 8, 4, 8, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 7, 6, 10, 9, 10, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 4, 8, 7, 8, 6, 8, 7, 8, 4, 5, 10, 9, 10, 9, 10, 10, 5, 5, 11, 11, 11, 11, 10, 11, 11, 11, 9, 10, 9, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 7, 6, 10, 9, 10, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 4, 8, 7, 8, 6, 8, 7, 8, 4, 5, 10, 9, 10, 9, 10, 10, 5, 5, 11, 11, 11, 11, 10, 11, 11, 11, 9, 10, 9, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 7, 6, 10, 9, 10, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 4, 8, 7, 8, 6, 8, 7, 8, 8, 8, 8, 4, 7, 6, 10, 10, 10, 10, 9, 10, 10, 10, 8, 9, 8, 4, 8, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 5, 5, 5, 5, 0, 0, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 7, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 0, 0, 0, 0, 1, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 0, 0, 2, 2, 4, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 0, 0, 2, 2, 4, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 345, 3077, 3492, 12561, 32, 2304, 1188, 28312, 81, 465, 203, 505, 36157, 505, 280, 3037, 11737, 24901, 4657, 39973, 1446, 203, 505, 2077, 505, 280, 313, 62, 21181, 104, 37, 5667, 203, 823, 22994, 9536, 3675, 3763, 2344, 26, 12561, 81, 465, 32, 40079, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 47, 2521, 30, 636, 47, 2521, 30, 3223, 81, 4545, 47, 34, 711, 291, 28312, 81, 465, 32, 40079, 3667, 1664, 3207, 784, 30, 2935, 30, 28312, 81, 465, 32, 9071, 32, 1669, 4629, 26, 3518, 81, 4545, 490, 291, 415, 646, 636, 44, 324, 630, 32, 23725, 440, 15614, 9536, 3675, 3763, 2344, 657, 291, 630, 32, 2215, 81, 753, 81, 3854, 280, 28312, 81, 465, 32, 944, 81, 1707, 81, 761, 26, 324, 313, 34954, 81, 5138, 81, 3854, 81, 3086, 32, 1707, 20, 291, 829, 291, 617, 1831, 81, 104, 3086, 280, 28312, 81, 465, 32, 33308, 30432, 26, 784, 27, 291, 617, 1831, 81, 104, 3086, 32, 21857, 26, 784, 32, 2215, 81, 753, 81, 3854, 27, 291, 617, 1831, 81, 104, 3086, 32, 470, 15889, 26, 34, 27, 291, 617, 1831, 81, 104, 3086, 32, 470, 8041, 37187, 26, 34, 30, 225, 34, 30, 225, 34, 30, 225, 34, 27, 291, 630, 32, 10787, 26, 12561, 81, 465, 32, 9071, 32, 9625, 81, 73, 1078, 81, 9757, 3343, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 9, 9, 8, 9, 7, 8, 8, 8, 7, 7, 7, 7, 11, 11, 10, 11, 9, 10, 10, 9, 10, 10, 10, 9, 4, 4, 5, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 9, 8, 4, 4, 8, 8, 8, 8, 7, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 4, 4, 8, 8, 8, 8, 7, 8, 8, 7, 8, 7, 4, 4, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 3, 3, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1561, 32, 16780, 1188, 4808, 1486, 30, 58, 6053, 6267, 30, 58, 6600, 1486, 3703, 203, 465, 5592, 32, 48609, 32, 1308, 3350, 619, 2971, 972, 203, 465, 2322, 203, 751, 280, 677, 6600, 1486, 3703, 32, 58, 6600, 1486, 3703, 4064, 426, 8223, 203, 1070, 1561, 32, 2282, 32, 48002, 1188, 319, 203, 7789, 280, 330, 12391, 1598, 25, 203, 11844, 81, 2319, 28067, 3164, 33, 12336, 32, 16110, 32, 7370, 3149, 32, 1840, 29, 2593, 45, 827, 47, 48589, 25, 203, 823, 8554, 1484, 12391, 1598, 26, 48002, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1286, 81, 681, 280, 23339, 81, 2319, 291, 630, 32, 2388, 280, 32252, 284, 665, 7169, 267, 81, 12391, 1598, 26, 784, 30, 4749, 30, 12852, 2946, 81, 6572, 30, 816, 81, 1237, 81, 2848, 711, 291, 2599, 17094, 1664, 3207, 639, 30, 630, 32, 2388, 30, 630, 32, 1286, 81, 681, 30, 816, 81, 1237, 81, 2848, 27, 291, 1245, 32, 751, 81, 2811, 440, 7370, 544, 12852, 2664, 7307, 657, 291, 4826, 81, 1473, 47, 58, 6053, 6267, 32, 58, 6053, 6267, 440, 1840, 657, 291, 3583, 47, 5078, 81, 1473, 32, 2425, 1365, 32896, 1446, 291, 3362, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 291, 1509, 6263, 47, 1676, 26, 5660, 43961, 605, 78, 7370, 267, 81, 12262, 2946, 32, 2593, 1461, 100, 657, 291, 1326, 81, 1473, 47, 44970, 32, 44970, 463, 103, 418, 370, 639, 30, 784, 32, 2388, 30, 784, 32, 1286, 81, 681, 30, 2848, 81, 314, 47, 106, 81, 1237, 81, 2848, 27, 291, 1326, 81, 1473, 32, 5068, 9275, 26, 6263, 47, 1131, 6263, 30, 1689, 47, 466, 26, 12262, 2946, 81, 6572, 27, 22011, 1409, 33, 6768, 1484, 657, 291, 1245, 32, 751, 81, 2811, 26, 1357, 81, 1473, 32, 1986, 27, 291, 415, 1326, 81, 1473, 32, 1986, 81, 84, 44, 324, 630, 32, 371, 81, 3245, 81, 1517, 26, 1357, 81, 1473, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 3, 1, 3, 3, 3, 1, 3, 3, 3, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 0, 3, 2, 2, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 9, 8, 8, 8, 7, 7, 8, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 6, 9, 9, 9, 8, 9, 9, 9, 8, 10, 10, 4, 4, 6, 9, 9, 9, 8, 9, 7, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 9, 4, 4, 7, 6, 8, 8, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 4, 4, 7, 7, 6, 9, 8, 9, 8, 10, 10, 10, 9, 8, 10, 9, 10, 8, 10, 9, 10, 10, 10, 8, 10, 10, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 8, 8, 7, 8, 8, 7, 9, 8, 9, 9, 7, 9, 8, 11, 11, 12, 12, 12, 12, 11, 9, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 8, 9, 7, 4, 4, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 4, 4, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 2, 2, 7, 7, 7, 7, 2, 1, 1, 1, 2, 2, 1, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 1, 7, 7, 7, 7, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 3, 1, 0, 5, 2, 1, 0, 7, 2, 2, 2, 1, 0, 0, 0, 9, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 3, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 9, 0, 0, 1, 2, 2, 2, 9, 9, 9, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 1133, 619, 13845, 203, 465, 5237, 203, 589, 1487, 21808, 271, 974, 26, 605, 2976, 30, 541, 2976, 30, 1945, 30, 3368, 30, 1003, 711, 284, 623, 2156, 3247, 2833, 33, 84, 754, 40, 40, 33, 21808, 271, 3839, 9708, 101, 9299, 101, 9299, 101, 32, 1328, 271, 21735, 26, 1945, 30, 3368, 30, 1003, 41218, 105, 683, 619, 296, 44, 291, 296, 32, 1821, 463, 23928, 280, 517, 2833, 33, 84, 754, 40, 40, 33, 11663, 33, 22037, 31, 11382, 33, 22037, 31, 11382, 31, 104, 37, 78, 96, 683, 291, 296, 32, 1821, 463, 8555, 280, 4034, 37, 904, 101, 904, 101, 904, 101, 225, 35, 13517, 96, 21735, 26, 605, 2976, 30, 1003, 30, 541, 2976, 490, 4456, 296, 32, 1821, 463, 43870, 261, 280, 44653, 78, 96, 683, 291, 296, 32, 1821, 463, 23407, 262, 280, 861, 78, 96, 683, 291, 296, 32, 1821, 463, 1357, 81, 5566, 280, 225, 37, 34, 34, 78, 96, 683, 291, 296, 32, 1821, 463, 751, 280, 23746, 13366, 9708, 101, 9299, 101, 9299, 101, 32, 751, 78, 96, 21735, 26, 1945, 30, 3368, 30, 1003, 490, 291, 296, 32, 1821, 463, 2301, 280, 23746, 1512, 101, 9708, 101, 9299, 101, 9299, 101, 32, 541, 78, 96, 21735, 26, 1945, 30, 3368, 30, 1003, 490, 291, 296, 32, 1821, 463, 924, 280, 23746, 4309, 101, 9708, 101, 9299, 422, 9299, 101, 32, 530, 78, 96, 21735, 26, 1945, 30, 3368, 30, 1003, 490, 291, 296, 32, 1821, 463, 8856, 280, 7152, 78, 96, 683, 291, 296, 32, 1821, 37984, 19051, 225, 280, 31255, 78, 96, 683, 291, 296, 32, 1821, 463, 3163, 81, 10668, 81, 2536, 280, 4435, 78, 96, 683, 291, 296, 32, 1821, 463, 4084, 683, 203, 589, 2575, 26, 1945, 9085, 711, 351, 284, 2575, 2529, 2976, 280, 3056, 869, 33, 17258, 33, 2250, 33, 31465, 33, 8387, 1155, 33, 1197, 3184, 1438, 33, 17528, 59, 7404, 284, 2575, 1512, 2976, 280, 3056, 869, 33, 17258, 33, 2250, 33, 31465, 33, 8387, 1155, 33, 1197, 3184, 1438, 33, 17528, 59, 33, 84, 754, 31, 11382, 7404, 284, 1420, 25530, 280, 2107, 2529, 31, 35, 39, 31, 34, 37, 31, 36, 41, 31, 35, 36, 31, 38, 36, 31, 36, 40, 1195, 2529, 31, 35, 39, 31, 34, 37, 31, 37, 34, 31, 35, 37, 31, 37, 37, 31, 34, 39, 1195, 2529, 31, 35, 39, 31, 34, 38, 31, 34, 42, 31, 35, 35, 31, 37, 42, 31, 36, 42, 1195, 2529, 31, 35, 39, 31, 34, 38, 31, 35, 41, 31, 35, 40, 31, 39, 40, 31, 39, 43, 1195, 2529, 31, 35, 39, 31, 34, 38, 31, 36, 43, 31, 35, 40, 31, 37, 38, 31, 38, 38, 370, 3083, 330, 2529, 31, 35, 39, 31, 34, 39, 31, 34, 39, 31, 35, 40, 31, 34, 43, 31, 35, 36, 1195, 2529, 31, 35, 39, 31, 34, 39, 31, 35, 35, 31, 35, 35, 31, 38, 40, 31, 37, 34, 1195, 2529, 31, 35, 39, 31, 34, 39, 31, 35, 43, 31, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 3, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 11, 10, 11, 10, 10, 10, 6, 6, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 9, 10, 10, 9, 10, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 9, 10, 9, 10, 9, 10, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 9, 10, 9, 10, 9, 10, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 9, 10, 9, 10, 9, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 0, 1, 1, 2, 3, 3, 2, 1, 1, 1, 5, 5, 4, 4, 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, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 2, 1, 1, 2, 3, 3, 2, 5, 2, 7, 2, 9, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 2, 5, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 2, 5, 5, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 3, 2, 5, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 3, 2, 5, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 3, 2, 5, 2, 3, 3, 0, 2, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 2, 1, 1, 2, 0, 4, 4, 2, 1, 1, 2, 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, 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, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 11993, 1188, 15386, 30, 1682, 30, 5648, 30, 2768, 203, 1070, 45295, 32, 8861, 32, 4750, 94, 1188, 25213, 94, 203, 1070, 45295, 32, 8861, 32, 34119, 1188, 6042, 81, 9569, 81, 34327, 203, 1070, 45295, 32, 6554, 32, 1439, 1188, 14092, 30, 11725, 203, 505, 464, 505, 280, 428, 284, 330, 4767, 7063, 370, 203, 79, 203, 22471, 81, 2231, 567, 3055, 280, 25213, 94, 203, 24139, 32220, 81, 2231, 567, 3055, 280, 1665, 261, 203, 823, 14092, 7063, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 9914, 44, 14092, 27, 967, 1665, 44, 291, 2599, 26, 4767, 7063, 30, 630, 14585, 1664, 16369, 291, 630, 32, 8366, 280, 9914, 291, 630, 1114, 4275, 44, 5648, 77, 720, 77, 466, 3212, 280, 1605, 291, 630, 1114, 9885, 280, 630, 1114, 1297, 81, 9885, 346, 284, 477, 2433, 284, 665, 3878, 26, 784, 27, 967, 1682, 77, 466, 2786, 291, 1596, 44, 324, 630, 1114, 4275, 32, 8233, 26, 784, 1114, 9885, 27, 16189, 2940, 12305, 21863, 44, 324, 3097, 291, 442, 630, 1114, 4275, 284, 665, 438, 81, 1327, 26, 784, 27, 967, 1560, 44, 291, 415, 646, 630, 1114, 4275, 44, 324, 1596, 44, 400, 630, 1114, 4275, 32, 1689, 26, 1978, 26, 784, 1114, 9885, 490, 324, 2940, 12305, 21863, 44, 400, 3097, 291, 442, 646, 630, 1114, 4275, 284, 665, 617, 1297, 81, 9885, 26, 784, 27, 967, 15386, 77, 466, 30, 1665, 30, 1665, 2786, 291, 26631, 81, 16242, 280, 630, 32, 8366, 32, 1363, 81, 16242, 346, 291, 9914, 81, 2888, 280, 630, 32, 8366, 32, 2888, 291, 2401, 81, 1055, 280, 2069, 26, 784, 32, 8366, 27, 429, 225, 35, 291, 14025, 280, 225, 34, 291, 7022, 280, 225, 34, 291, 436, 2350, 328, 26631, 81, 16242, 44, 324, 436, 23678, 328, 2350, 44, 400, 14025, 1454, 23678, 32, 853, 400, 415, 23678, 32, 8366, 81, 2888, 863, 9914, 81, 2888, 44, 528, 6761, 330, 4316, 301, 91, 111, 1401, 5535, 9914, 3677, 25484, 1643, 26, 715, 595, 47, 4680, 30, 528, 829, 400, 415, 23678, 32, 1700, 81, 1055, 863, 7022, 44, 528, 6761, 308, 715, 330, 4316, 301, 91, 111, 1401, 5535, 1550, 1650, 786, 330, 715, 15584, 3140, 301, 91, 835, 4648, 301, 7975, 12665, 2473, 1643, 26, 1014, 4648, 47, 20558, 32, 1700, 81, 1055, 30, 1014, 595, 47, 4680, 30, 715, 829, 528, 829, 400, 415, 23678, 32, 2135, 81, 1055, 863, 2401, 81, 1055, 44, 528, 6761, 308, 715, 330, 4316, 301, 91, 111, 1401, 5535, 2401, 1650, 786, 330, 715, 15584, 3140, 301, 3140, 835, 4648, 301, 7975, 12665, 2473, 1643, 26, 1014, 4648, 47, 20558, 32, 2135, 81, 1055, 30, 1014, 2799, 47, 2135, 81, 1055, 30, 1014, 595, 47, 4680, 30, 715, 829, 528, 829, 400, 7022, 1454, 225, 35, 291, 415, 14025, 863, 225, 34, 44, 324, 6761, 308, 400, 330, 4767, 1401, 5535, 14025, 330, 400, 15584, 3140, 225, 34, 30, 4648, 301, 7975, 12665, 2473, 1643, 26, 528, 4648, 47, 10401, 30, 400, 829, 324, 829, 291, 415, 646, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 3, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 9, 12, 12, 14, 12, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 7, 9, 7, 4, 4, 6, 6, 6, 11, 12, 10, 11, 10, 12, 11, 12, 10, 6, 6, 7, 8, 7, 7, 7, 5, 5, 6, 7, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 3, 3, 3, 5, 6, 7, 8, 5, 5, 5, 7, 7, 7, 12, 13, 11, 12, 11, 13, 13, 15, 14, 15, 13, 7, 7, 8, 9, 8, 8, 8, 4, 4, 5, 6, 7, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 8, 6, 6, 6, 6, 6, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 7, 8, 4, 4, 7, 7, 6, 6, 9, 11, 10, 11, 9, 7, 7, 8, 4, 4, 6, 6, 7, 4, 4, 6, 6, 7, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 10, 10, 11, 12, 8, 8, 9, 11, 12, 12, 12, 10, 10, 11, 11, 9, 9, 9, 12, 16, 16, 16, 16, 16, 16, 16, 16, 16, 15, 14, 14, 14, 15, 16, 14, 14, 14, 8, 8, 9, 11, 12, 12, 12, 10, 10, 9, 9, 9, 12, 13, 13, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 15, 15, 15, 16, 18, 17, 18, 18, 18, 15, 15, 15, 16, 17, 15, 15, 15, 13, 13, 8, 8, 9, 11, 12, 12, 12, 10, 10, 11, 11, 9, 9, 9, 12, 13, 13, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 15, 15, 15, 16, 18, 17, 18, 18, 18, 15, 15, 15, 16, 17, 17, 17, 15, 15, 15, 16, 17, 15, 15, 15, 13, 13, 8, 8, 10, 10, 11, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 9, 9, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 11, 11, 11, 12, 13, 11, 11, 11, 9, 9, 4, 4, 5, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 6, 6, 0, 2, 0, 0, 6, 6, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 6, 6, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 3, 1, 3, 3, 3, 6, 6, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 3, 1, 3, 3, 3, 6, 6, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 6, 6, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 2, 6, 6, 0, 0, 2, 6, 6, 5, 5, 5, 3, 3, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 5, 5, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 5, 5, 3, 0, 2, 2, 2, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 2, 6, 6, 6, 1, 1, 2, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 6, 6, 7, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 49093, 1188, 8529, 203, 465, 5237, 203, 3731, 32, 983, 32, 3215, 26, 35, 2360, 1458, 657, 203, 465, 420, 36, 97, 203, 1070, 3312, 1188, 3619, 2243, 81, 2304, 203, 589, 5859, 86, 81, 35, 81, 35791, 2262, 284, 1459, 440, 4196, 299, 15449, 3421, 4738, 101, 32, 4700, 706, 21850, 284, 2099, 4738, 101, 58, 36, 65, 280, 420, 36, 97, 32, 4462, 81, 761, 26, 978, 2243, 81, 2304, 32, 27041, 440, 4884, 605, 33, 35823, 81, 858, 33, 2045, 3421, 4738, 101, 32, 4700, 2131, 284, 1459, 440, 10616, 623, 12790, 54, 657, 284, 8157, 58, 36, 65, 280, 420, 36, 97, 32, 33497, 26, 106, 47, 282, 4738, 101, 58, 36, 65, 77, 34, 44, 38, 614, 26446, 47, 38, 30, 4522, 347, 8467, 392, 1769, 81, 22400, 47, 36, 34, 34, 34, 27, 284, 1459, 440, 10616, 36134, 2078, 308, 54, 14451, 284, 420, 36, 97, 81, 86, 280, 8157, 58, 36, 65, 1114, 1160, 81, 1260, 710, 2024, 4902, 86, 785, 284, 540, 81, 86, 280, 428, 35, 38, 35, 43, 32, 34, 40, 35, 37, 43, 39, 34, 43, 41, 41, 36, 30, 225, 35, 43, 38, 32, 42, 36, 39, 42, 38, 40, 35, 35, 34, 35, 37, 42, 30, 225, 38, 39, 32, 40, 40, 35, 37, 37, 41, 40, 37, 34, 42, 41, 39, 38, 30, 225, 35, 42, 32, 34, 40, 43, 39, 39, 40, 40, 36, 36, 38, 40, 41, 41, 79, 284, 1459, 440, 68, 27836, 1900, 14614, 44, 301, 34, 16054, 1643, 26, 100, 81, 86, 490, 284, 1459, 440, 58, 36, 65, 27836, 1900, 14614, 44, 301, 34, 16054, 1643, 26, 90, 36, 97, 81, 86, 490, 284, 436, 540, 30, 420, 328, 8529, 26, 100, 81, 86, 30, 420, 36, 97, 81, 86, 711, 1201, 11366, 26, 100, 429, 420, 27, 333, 225, 35, 87, 31, 40, 30, 313, 58, 36, 65, 5424, 301, 34, 835, 1273, 559, 5424, 301, 35, 16054, 1643, 26, 90, 30, 540, 27, 284, 1459, 440, 10616, 2091, 36134, 16540, 308, 72, 14451, 284, 420, 36, 97, 81, 104, 280, 420, 36, 97, 32, 302, 81, 668, 26, 90, 36, 97, 32, 371, 81, 1744, 26, 4698, 58, 36, 65, 1114, 1160, 81, 1260, 710, 2024, 4902, 104, 81, 678, 4902, 426, 16578, 793, 81, 24464, 47, 2700, 27, 284, 420, 36, 97, 81, 104, 32, 3235, 26, 34, 27, 284, 540, 81, 104, 280, 3813, 31, 34, 32, 34, 38, 36, 37, 43, 35, 42, 35, 30, 225, 34, 32, 34, 35, 40, 35, 40, 36, 40, 36, 30, 429, 34, 32, 34, 40, 39, 42, 42, 38, 36, 40, 30, 225, 34, 32, 43, 43, 40, 41, 43, 39, 37, 39, 614, 2607, 9650, 34, 32, 43, 38, 37, 43, 39, 41, 34, 40, 30, 225, 34, 32, 37, 36, 34, 40, 42, 39, 42, 34, 30, 225, 34, 32, 34, 40, 40, 39, 39, 35, 41, 34, 30, 429, 34, 32, 34, 38, 34, 43, 38, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 4, 3, 5, 5, 0, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 6, 9, 9, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 6, 7, 8, 6, 6, 7, 9, 9, 6, 8, 8, 7, 8, 8, 8, 8, 6, 2, 2, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 8, 8, 8, 7, 8, 8, 8, 6, 8, 8, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 8, 8, 7, 2, 2, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 3, 5, 8, 10, 9, 9, 8, 6, 6, 7, 7, 7, 7, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 7, 7, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 6, 9, 9, 9, 8, 9, 9, 9, 8, 13, 13, 13, 13, 12, 13, 13, 13, 11, 13, 13, 12, 12, 12, 12, 11, 11, 6, 8, 8, 7, 8, 6, 2, 2, 6, 6, 6, 6, 5, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 4, 4, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 6, 6, 1, 1, 1, 1, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 3, 2, 1, 1, 5, 1, 2, 1, 0, 0, 7, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 9, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 9, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 5237, 203, 465, 2322, 203, 1070, 1374, 1188, 7096, 3739, 7116, 30, 6577, 30, 29657, 30, 3835, 3739, 25832, 203, 1070, 11319, 32, 10340, 1188, 37183, 30, 1420, 203, 1070, 11319, 32, 11452, 1188, 23778, 203, 1070, 617, 2304, 1188, 2193, 30, 5657, 81, 15598, 203, 589, 617, 1945, 26, 3255, 47, 2521, 30, 1115, 5321, 711, 284, 3217, 280, 3217, 556, 2149, 284, 3217, 32, 37329, 463, 4775, 318, 370, 225, 34, 27, 284, 786, 280, 1992, 26, 291, 9254, 816, 44, 3217, 32, 371, 26, 106, 30, 1665, 471, 291, 2726, 9362, 370, 330, 8228, 370, 330, 4775, 318, 370, 330, 3893, 1425, 284, 829, 284, 443, 7502, 7981, 26, 7981, 711, 291, 665, 1420, 26, 784, 30, 2016, 30, 17161, 30, 10603, 711, 324, 442, 786, 284, 10306, 710, 10340, 785, 280, 7502, 7981, 284, 442, 1420, 440, 1354, 14500, 392, 1115, 5321, 27, 203, 823, 4489, 26, 2710, 711, 284, 313, 1945, 19284, 284, 665, 4705, 26, 784, 711, 291, 2322, 32, 31015, 26, 3592, 27, 291, 630, 32, 16361, 280, 313, 3474, 9214, 962, 5841, 530, 5697, 20, 291, 630, 32, 541, 280, 313, 3474, 9214, 20, 291, 630, 32, 530, 280, 5587, 530, 5697, 20, 291, 630, 32, 1113, 280, 313, 5817, 429, 85, 298, 618, 81, 2024, 10603, 16335, 101, 20, 284, 665, 40688, 26, 784, 711, 291, 5657, 81, 15598, 346, 284, 443, 442, 81, 853, 44, 291, 665, 442, 81, 687, 81, 266, 81, 1267, 26, 784, 711, 324, 540, 280, 1420, 26, 784, 32, 541, 30, 10603, 1057, 16361, 683, 324, 7096, 5908, 100, 32, 601, 81, 687, 30, 225, 34, 27, 324, 7096, 5908, 100, 32, 4775, 318, 30, 225, 34, 27, 291, 665, 2979, 6158, 81, 601, 81, 687, 81, 979, 81, 32997, 26, 784, 711, 324, 1056, 280, 1420, 440, 1870, 392, 17161, 47, 1815, 27, 324, 7096, 5908, 1267, 32, 4775, 318, 30, 225, 35, 27, 324, 1056, 280, 1420, 440, 41656, 1170, 557, 101, 392, 17161, 47, 1815, 30, 10603, 1057, 16361, 683, 324, 7096, 5908, 1267, 32, 4775, 318, 30, 225, 35, 36, 41, 27, 291, 665, 12532, 81, 4890, 81, 4752, 81, 9362, 26, 784, 711, 324, 7096, 5908, 1945, 26, 784, 32, 541, 30, 10603, 1057, 16361, 1814, 9362, 30, 330, 3986, 78, 96, 683, 291, 665, 16154, 81, 4890, 81, 4752, 81, 8228, 26, 784, 711, 324, 7096, 5908, 1945, 26, 784, 32, 530, 30, 10603, 1057, 16361, 1814, 8228, 30, 330, 1632, 78, 96, 683, 291, 665, 3835, 81, 2437, 81, 13188, 1196, 81, 3127, 26, 784, 711, 324, 7096, 81, 2176, 1945, 922, 1253, 30, 2933, 27, 324, 7096, 81, 2176, 1945, 26, 3255, 12516, 4775, 318, 950, 225, 35, 835, 17161, 47, 1815, 547, 1253, 30, 3177, 27, 291, 665, 3803, 81, 2437, 81, 13188, 1196, 81, 11879, 26, 784, 711, 324, 7096, 81, 2176, 1945, 922, 7815, 30, 3177, 27, 324, 7096, 81, 2176, 1945, 26, 3255, 12516, 4775, 318, 950, 225, 35, 835, 17161, 47, 1815, 547, 7815, 30, 2933, 27, 291, 665, 1401, 81, 3893, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 2, 4, 2, 1, 1, 4, 4, 5, 5, 2, 2, 5, 6, 5, 7, 7, 7, 5, 6, 5, 2, 2, 4, 4, 6, 6, 6, 7, 7, 7, 9, 10, 9, 10, 9, 9, 9, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 2, 2, 5, 7, 7, 4, 4, 5, 2, 2, 3, 5, 7, 7, 7, 5, 7, 5, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 7, 2, 2, 3, 4, 4, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 8, 8, 10, 12, 11, 12, 10, 10, 11, 13, 13, 6, 6, 9, 11, 10, 11, 11, 11, 9, 9, 10, 9, 6, 6, 9, 11, 10, 11, 11, 9, 9, 10, 9, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 8, 8, 10, 12, 12, 10, 11, 12, 10, 6, 6, 9, 11, 10, 11, 11, 9, 9, 10, 9, 6, 6, 8, 8, 10, 12, 12, 12, 12, 12, 10, 11, 12, 10, 10, 11, 13, 13, 6, 6, 9, 11, 10, 11, 11, 9, 9, 10, 10, 10, 9, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 12, 12, 14, 13, 14, 12, 12, 13, 15, 15, 11, 9, 9, 11, 12, 12, 11, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 12, 12, 14, 13, 14, 12, 12, 13, 15, 15, 11, 9, 9, 11, 12, 12, 11, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 9, 12, 12, 11, 9, 9, 9, 6, 6, 9, 9, 12, 12, 14, 13, 17, 17, 17, 15, 16, 14, 12, 13, 14, 12, 11, 9, 9, 9, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 9, 12, 12, 11, 9, 9, 9, 6, 6, 9, 9, 12, 12, 14, 13, 17, 17, 17, 15, 16, 14, 12, 13, 14, 12, 11, 9, 9, 9, 4, 4, 5, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 6, 6, 1, 2, 0, 1, 2, 2, 2, 1, 2, 6, 6, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 1, 2, 1, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 0, 1, 2, 0, 0, 2, 4, 4, 5, 1, 1, 1, 2, 1, 1, 1, 0, 7, 7, 2, 1, 2, 7, 7, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 4, 4, 0, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 1, 2, 2, 1, 1, 3, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 1, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 1, 3, 3, 3, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 2, 1, 1, 1, 0, 0, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 2, 1, 1, 1, 0, 0, 2, 3, 3, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 3, 2, 1, 2, 1, 1, 1, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 3, 2, 1, 2, 1, 1, 1, 3, 3, 6, 1, 1, 1 ]