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

Dataset card Data Studio Files Community
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
[ 465, 16539, 203, 465, 1133, 203, 465, 11171, 203, 1070, 26252, 1188, 22079, 9117, 203, 1070, 26252, 1188, 7155, 14814, 203, 1070, 26252, 32, 2282, 1188, 47413, 1337, 8589, 924, 203, 1070, 26252, 81, 2304, 32, 1040, 1188, 1359, 203, 1070, 26252, 81, 2304, 32, 1040, 32, 1580, 1188, 22079, 3653, 1486, 203, 1070, 26252, 81, 2304, 32, 1040, 32, 21463, 1188, 739, 81, 14162, 81, 21463, 203, 76, 6223, 2223, 55, 3687, 81, 2413, 280, 330, 35098, 44, 36, 35, 42, 35, 25, 203, 61, 5995, 21730, 81, 2413, 280, 330, 14287, 44, 43, 34, 43, 36, 25, 203, 589, 622, 81, 5176, 81, 1163, 2262, 284, 442, 1359, 32, 371, 81, 5176, 81, 1163, 26, 291, 330, 858, 370, 291, 330, 858, 81, 5176, 370, 291, 330, 4882, 33, 7494, 723, 33, 1163, 370, 284, 829, 203, 589, 1487, 81, 5473, 26, 5473, 81, 426, 30, 26347, 81, 9410, 30, 25164, 711, 284, 4774, 280, 2107, 14287, 31, 16913, 32, 615, 370, 11363, 1297, 370, 2607, 11363, 35098, 370, 2523, 6223, 2223, 55, 3687, 81, 2413, 30, 2607, 11363, 27664, 31, 9410, 370, 596, 26, 27664, 81, 9410, 471, 2607, 11363, 32417, 370, 596, 26, 32417, 471, 2607, 11363, 5473, 370, 8456, 81, 426, 79, 284, 16539, 32, 1553, 81, 1851, 26, 3515, 27, 284, 1133, 32, 7840, 26, 35, 27, 203, 589, 1149, 81, 16913, 2262, 284, 4774, 280, 2107, 14287, 31, 16913, 32, 615, 370, 11363, 668, 370, 2607, 11363, 35098, 370, 2523, 6223, 2223, 55, 3687, 81, 2413, 79, 284, 442, 1476, 81, 3515, 26, 3515, 27, 203, 589, 3066, 81, 5473, 26, 5473, 81, 426, 711, 284, 4774, 280, 2107, 14287, 31, 16913, 32, 615, 370, 11363, 2560, 370, 2607, 11363, 35098, 370, 2523, 6223, 2223, 55, 3687, 81, 2413, 30, 2607, 11363, 5473, 370, 8456, 81, 426, 79, 284, 442, 1476, 81, 3515, 26, 3515, 27, 203, 589, 1476, 81, 3515, 26, 3515, 711, 284, 1688, 280, 4247, 284, 1596, 44, 291, 298, 280, 16539, 32, 45606, 26, 324, 4774, 30, 324, 24621, 47, 27958, 32, 18165, 30, 324, 12532, 47, 27958, 32, 18165, 30, 324, 16154, 47, 27958, 32, 18165, 30, 291, 829, 291, 963, 30, 1137, 280, 298, 32, 508, 48275, 463, 107, 683, 291, 415, 963, 44, 324, 1688, 1454, 963, 291, 415, 1137, 44, 324, 1688, 1454, 1137, 284, 2940, 16539, 32, 9402, 2861, 924, 619, 484, 44, 291, 1688, 1454, 484, 32, 2024, 284, 442, 1688, 203, 589, 1487, 81, 3855, 81, 5473, 26, 27664, 81, 9410, 30, 25164, 30, 8456, 81, 426, 47, 2521, 711, 284, 415, 646, 8456, 81, 426, 44, 291, 8456, 81, 426, 280, 596, 26, 6572, 32, 6572, 35, 1157, 284, 1487, 81, 5473, 26, 5473, 81, 426, 30, 26347, 81, 9410, 30, 25164, 27, 284, 442, 8456, 81, 426, 203, 589, 1487, 81, 3855, 81, 1363, 81, 314, 2262, 284, 442, 596, 26, 6572, 32, 6572, 35, 1157, 203, 589, 13882, 81, 2763, 81, 2076, 26, 5473, 30, 1929, 81, 6286, 47, 35, 711, 284, 26252, 280, 22079, 3653, 1486, 26, 61, 5995, 21730 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 5, 7, 8, 8, 8, 7, 5, 5, 7, 7, 5, 7, 8, 7, 5, 5, 7, 7, 5, 6, 6, 5, 2, 2, 5, 6, 6, 6, 5, 6, 5, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 6, 6, 6, 6, 6, 6, 5, 2, 2, 3, 5, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 7, 7, 5, 6, 6, 5, 2, 2, 3, 5, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 8, 8, 8, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 11, 10, 11, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 10, 10, 4, 4, 5, 5, 5, 5, 8, 8, 4, 4, 5, 5, 5, 5, 8, 8, 3, 3, 4, 6, 7, 7, 7, 5, 5, 4, 4, 4, 7, 7, 8, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 5, 3, 3, 3, 7, 7, 6, 6, 8, 11, 10, 11, 11, 10, 2, 2, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 5, 8, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 2, 11, 11, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 12, 12, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 12, 12, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 7, 7, 7, 7, 7, 7, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 19, 19, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 13, 13, 1, 1, 2, 13, 13, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 7, 7, 7, 7, 7, 7, 2, 4, 4, 1, 0, 0, 1, 1, 1, 0, 14, 14, 1, 1, 2, 1, 1, 1, 2, 14, 14, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 7, 7, 7, 7, 7, 7, 2, 2, 2, 1, 2, 2, 11, 11, 2, 4, 4, 1, 0, 0, 1, 1, 1, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 3, 3, 3, 3, 0, 0, 1, 1, 3, 0, 2, 2, 2, 1, 1, 3, 3, 3, 0, 0, 2, 2, 4, 4, 2, 0, 16, 16, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 16, 16, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 2, 1, 1, 0, 17, 17, 1, 1, 1, 1, 1, 1, 2, 17, 17, 0, 1, 0, 0, 2, 2, 1, 0, 18, 18, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 18, 18, 0, 0, 0, 0, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 2726, 4190, 370, 330, 34, 34, 34, 38, 81, 7489, 81, 5704, 81, 267, 81, 1297, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 18846, 1243, 2031, 26, 324, 636, 1057, 11682, 5738, 370, 324, 2075, 12516, 24576, 950, 2107, 31, 314, 785, 835, 291, 2588, 291, 12522, 32, 18846, 1243, 2031, 26, 324, 636, 1057, 7489, 370, 324, 2075, 12516, 24576, 950, 2107, 31, 314, 785, 835, 291, 2588, 291, 12522, 32, 18846, 1243, 2031, 26, 324, 636, 1057, 7489, 4792, 370, 324, 2075, 12516, 24576, 950, 2107, 31, 314, 785, 835, 291, 2588, 291, 12522, 32, 18846, 1243, 2031, 26, 324, 636, 1057, 7489, 4792, 1517, 370, 324, 2075, 12516, 24576, 950, 2107, 31, 314, 785, 835, 291, 2588, 291, 12522, 32, 18846, 1243, 2031, 26, 324, 636, 1057, 7489, 470, 370, 324, 2075, 12516, 24576, 950, 2107, 31, 314, 785, 835, 291, 2588, 291, 12522, 32, 18846, 1243, 2031, 26, 324, 636, 1057, 34783, 356, 1416, 370, 324, 2075, 12516, 24576, 950, 2107, 31, 314, 785, 835, 291, 2588, 291, 12522, 32, 18846, 1176, 26, 324, 1542, 81, 426, 1057, 7489, 470, 370, 324, 636, 1057, 1935, 81, 1311, 370, 324, 1600, 47, 3378, 32, 16357, 26, 1536, 1057, 8098, 645, 33577, 498, 2331, 69, 370, 1769, 81, 1322, 47, 36, 39, 39, 471, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 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, 8, 8, 7, 7, 7, 8, 10, 10, 10, 7, 7, 8, 12, 12, 10, 13, 13, 13, 9, 7, 7, 5, 5, 7, 8, 8, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 12, 12, 10, 13, 13, 13, 9, 7, 7, 5, 5, 7, 8, 8, 8, 7, 7, 7, 8, 10, 10, 10, 7, 7, 8, 12, 12, 10, 13, 13, 13, 9, 7, 7, 5, 5, 7, 8, 8, 8, 7, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 12, 12, 10, 13, 13, 13, 9, 7, 7, 5, 5, 7, 8, 8, 8, 7, 7, 7, 8, 10, 10, 10, 7, 7, 8, 12, 12, 10, 13, 13, 13, 9, 7, 7, 5, 5, 7, 8, 8, 8, 7, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 12, 12, 10, 13, 13, 13, 9, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 10, 12, 12, 11, 12, 12, 12, 10, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 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, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 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 ]
[ 465, 4134, 203, 1070, 7680, 2251, 32, 3378, 1188, 488, 3655, 70, 1243, 203, 1070, 316, 1648, 32, 3378, 1188, 3036, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 2194, 34747, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 1910, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 6696, 1188, 622, 81, 1160, 203, 1070, 8527, 32, 4338, 32, 9947, 32, 6656, 1188, 3872, 81, 452, 81, 2387, 203, 1070, 7193, 283, 716, 32, 1262, 32, 2304, 1188, 2361, 81, 1986, 203, 589, 372, 81, 3242, 81, 2543, 26, 1473, 30, 827, 711, 284, 4345, 81, 2543, 280, 5053, 2437, 950, 5053, 314, 950, 5461, 101, 16335, 101, 20, 904, 308, 1473, 32, 3174, 30, 827, 471, 6035, 330, 2808, 950, 827, 835, 528, 330, 605, 950, 1300, 32, 426, 111, 284, 415, 6937, 26, 1473, 30, 488, 3655, 70, 1243, 711, 291, 1596, 44, 324, 1361, 4915, 280, 18623, 26, 32110, 26, 1473, 30, 313, 1113, 4915, 392, 1665, 471, 313, 464, 392, 1665, 45895, 291, 2940, 12678, 44, 23688, 1361, 4915, 280, 1665, 291, 415, 1300, 32, 371, 81, 4915, 346, 556, 1361, 4915, 44, 324, 4345, 81, 2543, 710, 1293, 785, 280, 313, 10687, 20, 284, 442, 4345, 81, 2543, 203, 50, 1260, 81, 1986, 203, 589, 622, 81, 4915, 26, 1357, 30, 3362, 30, 319, 1132, 30, 1115, 5321, 711, 284, 706, 280, 1605, 284, 1596, 44, 291, 1541, 81, 314, 280, 629, 26, 1357, 32, 2788, 32, 371, 463, 314, 370, 225, 34, 490, 291, 1541, 280, 3362, 32, 5740, 32, 371, 26, 3174, 47, 1251, 81, 314, 27, 291, 14904, 280, 1541, 32, 4915, 32, 1174, 81, 1170, 463, 426, 683, 291, 706, 280, 1992, 26, 5962, 816, 44, 372, 81, 3242, 81, 2543, 26, 106, 30, 816, 1114, 2859, 32, 1647, 81, 426, 471, 14904, 27, 291, 1596, 44, 324, 1361, 4915, 280, 18623, 26, 1251, 30, 313, 1113, 4915, 392, 1665, 27, 324, 1361, 4915, 280, 18623, 26, 1113, 4915, 30, 313, 1174, 81, 1170, 392, 9254, 319, 83, 30, 1115, 93, 44, 1665, 27, 463, 426, 683, 324, 706, 32, 1689, 26, 1110, 26, 5962, 816, 44, 372, 81, 3242, 81, 2543, 26, 106, 30, 816, 1114, 2859, 32, 1647, 81, 426, 471, 1361, 4915, 490, 291, 2940, 12678, 44, 23688, 3097, 284, 2940, 308, 959, 34747, 30, 10091, 711, 291, 14904, 280, 3362, 32, 3242, 32, 2388, 81, 5459, 922, 1174, 81, 1170, 463, 426, 683, 291, 706, 280, 1992, 26, 5962, 816, 44, 372, 81, 3242, 81, 2543, 26, 106, 30, 816, 1114, 2859, 32, 1647, 81, 426, 471, 4511, 14904, 27, 284, 442, 706, 203, 50, 1260, 81, 1986, 203, 589, 622, 81, 723, 31905, 26, 1357, 30, 1123, 30, 319, 1132, 30, 1115, 5321, 711, 284, 3678, 280, 622, 81, 1160, 26, 725, 30, 1326, 32, 2788, 710, 681, 3490, 284, 1300, 280, 3678, 32, 5740, 32, 371, 26, 3174, 47, 1357, 32, 2788, 710, 314, 3490, 284, 600, 48023, 280, 1605, 284, 415, 6937, 26, 1473, 30, 488, 3655, 70, 1243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 8, 8, 6, 10, 10, 8, 11, 11, 11, 11, 9, 9, 12, 11, 12, 10, 10, 10, 7, 7, 10, 10, 8, 7, 5, 5, 8, 8, 6, 7, 8, 5, 2, 2, 3, 5, 6, 5, 5, 6, 6, 6, 5, 3, 3, 5, 5, 5, 9, 8, 8, 11, 13, 13, 14, 13, 13, 15, 15, 15, 13, 13, 11, 13, 13, 11, 11, 5, 5, 6, 6, 6, 6, 10, 9, 9, 4, 4, 5, 8, 9, 9, 9, 8, 6, 6, 7, 5, 5, 5, 10, 10, 9, 11, 11, 8, 8, 10, 10, 2, 2, 3, 4, 4, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 3, 5, 3, 2, 2, 5, 5, 3, 3, 4, 4, 4, 8, 8, 7, 7, 9, 13, 12, 13, 11, 12, 11, 13, 13, 11, 12, 11, 5, 5, 7, 7, 10, 11, 9, 10, 9, 11, 10, 11, 11, 11, 9, 5, 5, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 11, 5, 5, 7, 7, 9, 10, 10, 10, 10, 12, 12, 12, 12, 12, 13, 12, 12, 14, 15, 13, 14, 14, 14, 12, 9, 9, 5, 5, 6, 6, 6, 10, 9, 9, 11, 12, 11, 11, 13, 13, 13, 11, 11, 7, 7, 10, 9, 9, 12, 13, 13, 12, 12, 14, 14, 14, 14, 12, 13, 16, 14, 14, 16, 13, 13, 12, 11, 13, 13, 7, 7, 10, 11, 10, 12, 12, 13, 13, 13, 13, 15, 15, 15, 15, 15, 16, 15, 15, 17, 18, 16, 17, 17, 17, 15, 12, 13, 12, 6, 6, 7, 7, 7, 7, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 8, 8, 13, 14, 12, 13, 13, 13, 12, 11, 11, 11, 10, 12, 12, 6, 6, 8, 8, 10, 11, 11, 11, 11, 13, 13, 13, 13, 13, 14, 13, 13, 15, 16, 14, 15, 15, 15, 13, 10, 10, 10, 3, 3, 4, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 3, 5, 3, 2, 2, 5, 5, 7, 7, 7, 8, 7, 7, 9, 10, 8, 10, 10, 3, 3, 5, 5, 8, 9, 7, 8, 7, 9, 8, 11, 10, 11, 9, 11, 11, 3, 3, 6, 5, 5, 3, 3, 4, 6, 7, 6, 6, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 4, 4, 2, 1, 1, 0, 0, 1, 1, 1, 10, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 5, 5, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 1, 3, 1, 4, 4, 3, 3, 3, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 1, 1, 1, 4, 4, 2, 0, 0, 1, 1, 1, 11, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 3, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 4, 4, 3, 1, 1, 1, 1, 3, 3, 3 ]
[ 1070, 22786, 2928, 365, 321, 6218, 1188, 319, 203, 1070, 372, 388, 875, 32, 3044, 32, 705, 267, 20400, 1188, 319, 203, 1070, 3872, 32, 25094, 1188, 1709, 295, 47278, 30, 5025, 203, 1070, 3872, 32, 25094, 1188, 5025, 203, 465, 3995, 203, 465, 13409, 3771, 21427, 203, 465, 1933, 203, 823, 22786, 5516, 3771, 6218, 26, 30141, 2928, 365, 321, 6218, 711, 284, 665, 1156, 1664, 3207, 784, 30, 15306, 30, 1847, 365, 321, 606, 711, 291, 1596, 44, 324, 630, 32, 30141, 5516, 3771, 6218, 81, 16165, 291, 2940, 44, 324, 630, 32, 30141, 5516, 3771, 6218, 81, 16165, 280, 225, 35, 324, 22786, 2928, 365, 321, 6218, 3667, 1664, 3207, 784, 30, 15306, 30, 1847, 365, 321, 606, 27, 324, 630, 32, 3626, 47278, 280, 1709, 295, 47278, 32, 45754, 47278, 463, 30141, 5516, 3771, 6218, 370, 428, 1078, 32, 1078, 463, 1719, 370, 630, 32, 1403, 27309, 30, 630, 32, 4775, 27309, 30, 2107, 1684, 20713, 10593, 370, 330, 15276, 16578, 1802, 5025, 32, 1078, 463, 1684, 20713, 10593, 370, 630, 32, 1403, 6485, 20713, 10593, 30, 630, 32, 4775, 6485, 20713, 10593, 30, 2107, 5536, 5516, 370, 330, 15276, 16578, 1802, 5025, 32, 1078, 463, 5536, 5516, 370, 630, 32, 1403, 10505, 5516, 30, 630, 32, 4775, 10505, 5516, 30, 2107, 20977, 5472, 370, 330, 15276, 16578, 1802, 5025, 32, 1078, 463, 20977, 5472, 370, 630, 32, 1403, 23595, 5472, 30, 630, 32, 4775, 23595, 5472, 30, 2107, 1684, 20713, 10593, 370, 330, 15276, 16578, 1802, 5025, 32, 1078, 463, 15276, 370, 630, 32, 1403, 20253, 30, 630, 32, 4775, 20253, 30, 11544, 614, 330, 1719, 370, 330, 15276, 683, 324, 630, 32, 21545, 3771, 47278, 26, 784, 32, 3626, 47278, 27, 284, 665, 3066, 26, 784, 711, 291, 630, 32, 9353, 32, 2811, 463, 2560, 683, 291, 3555, 630, 32, 3626, 47278, 291, 22786, 2928, 365, 321, 6218, 32, 2560, 26, 784, 27, 284, 665, 739, 3771, 10593, 26, 784, 711, 291, 630, 32, 9353, 32, 2811, 463, 470, 3771, 10593, 683, 291, 22786, 2928, 365, 321, 6218, 32, 470, 3771, 10593, 26, 784, 27, 291, 630, 3667, 1664, 3771, 12034, 346, 284, 665, 739, 3771, 2130, 26, 784, 30, 6341, 711, 291, 630, 32, 9353, 32, 2811, 463, 470, 3771, 2130, 683, 291, 22786, 2928, 365, 321, 6218, 32, 470, 3771, 2130, 26, 784, 30, 6341, 27, 291, 630, 32, 3626, 47278, 32, 1357, 463, 1684, 20713, 10593, 683, 284, 665, 739, 3771, 20367, 26, 784, 711, 291, 630, 32, 9353, 32, 2811, 463, 470, 3771, 20367, 683, 291, 415, 630, 32, 3626, 47278, 32, 12331, 1078, 2262, 324, 630, 32, 3626, 47278, 32, 1357, 463, 15276, 683, 291, 22786, 2928, 365, 321, 6218, 32, 470, 3771, 20367, 26, 784, 27, 284, 665, 4181, 3966, 26, 784, 711, 291, 630, 32, 9353, 32, 2811, 463, 3626, 3966, 683, 291, 630, 32, 3626, 47278, 32, 1357, 463, 15276, 683, 291, 22786, 2928, 365, 321, 6218, 32, 3626, 3966, 26, 784, 27, 284, 665, 6612, 27309, 26, 784, 711, 291, 630, 32, 9353, 32, 2811, 463, 1403 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 8, 9, 9, 9, 9, 9, 9, 5, 5, 6, 6, 6, 10, 11, 11, 11, 11, 11, 11, 9, 9, 10, 7, 7, 11, 11, 11, 11, 10, 11, 11, 11, 10, 10, 10, 10, 11, 11, 11, 10, 7, 7, 10, 11, 11, 9, 9, 12, 12, 11, 12, 12, 11, 13, 13, 13, 13, 13, 11, 15, 14, 15, 14, 16, 16, 14, 15, 16, 16, 14, 14, 15, 16, 16, 14, 14, 17, 17, 17, 17, 15, 17, 17, 12, 12, 14, 15, 14, 16, 16, 16, 16, 14, 15, 16, 16, 16, 16, 14, 14, 15, 16, 16, 16, 16, 14, 14, 17, 17, 17, 15, 17, 17, 12, 12, 14, 15, 14, 16, 16, 16, 14, 15, 16, 16, 16, 14, 14, 15, 16, 16, 16, 14, 14, 17, 17, 17, 15, 17, 17, 12, 12, 14, 15, 14, 16, 16, 16, 14, 15, 16, 16, 16, 14, 14, 15, 16, 16, 16, 14, 14, 17, 17, 17, 17, 15, 17, 17, 12, 12, 14, 15, 14, 16, 16, 14, 15, 16, 16, 14, 14, 15, 16, 16, 14, 14, 12, 11, 13, 13, 11, 13, 13, 7, 7, 10, 11, 11, 11, 10, 12, 11, 12, 12, 10, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 4, 4, 5, 6, 7, 7, 4, 4, 8, 8, 8, 8, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 4, 4, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 4, 4, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 7, 7, 7, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 4, 4, 5, 8, 9, 9, 7, 8, 8, 7, 5, 5, 10, 11, 11, 9, 10, 9, 11, 11, 4, 4, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 4, 4, 8, 8, 8, 8, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 6, 6, 0, 7, 7, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 5, 5, 5, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 1, 1, 1, 1, 2, 7, 1, 2, 3, 3, 0, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 1, 1, 1, 2, 7, 1, 2, 3, 3, 0, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 2, 3, 3, 0, 2, 1, 1, 2, 1, 3, 2, 2, 1, 1, 5, 2, 2, 1, 1, 3, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 4, 4, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 2, 1, 2, 5, 5, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 6, 1, 2, 1, 2, 6, 6, 0, 2, 0, 2, 1, 1 ]
[ 465, 894, 81, 2304, 619, 8186, 203, 1070, 310, 12108, 1188, 310, 12108, 81, 761, 203, 1070, 310, 12108, 1188, 310, 12108, 81, 2304, 619, 8745, 203, 589, 894, 81, 612, 893, 81, 8442, 2262, 284, 415, 1156, 761, 9818, 15990, 12004, 10280, 291, 18146, 280, 313, 101, 20, 474, 1156, 761, 505, 77, 37, 5979, 37, 79, 474, 4939, 96, 12108, 20, 284, 813, 44, 291, 18146, 280, 313, 101, 20, 474, 1156, 761, 505, 77, 35, 5979, 37, 79, 474, 4939, 96, 12108, 20, 284, 636, 280, 313, 612, 893, 20, 284, 1487, 81, 612, 893, 26, 10555, 30, 636, 27, 284, 909, 280, 8186, 32, 6967, 81, 2689, 26, 10555, 30, 313, 329, 20982, 33, 2242, 10590, 636, 27, 284, 415, 2069, 26, 695, 27, 863, 225, 39, 44, 291, 8186, 32, 731, 440, 21306, 2488, 1778, 7299, 392, 313, 19716, 8742, 657, 284, 909, 280, 8186, 32, 6967, 81, 4890, 81, 2689, 26, 10555, 30, 313, 329, 20982, 33, 2242, 31267, 426, 30, 313, 1643, 657, 284, 415, 646, 8186, 32, 12092, 26, 695, 30, 313, 1294, 10280, 291, 8186, 32, 731, 440, 21306, 2488, 1778, 2179, 392, 313, 19129, 786, 657, 284, 909, 280, 8186, 32, 6967, 81, 4890, 81, 2689, 26, 10555, 30, 313, 329, 20982, 33, 2242, 31267, 426, 30, 313, 2310, 657, 284, 415, 646, 8186, 32, 12092, 26, 695, 30, 313, 858, 10280, 291, 8186, 32, 731, 440, 21306, 2488, 1778, 3048, 392, 313, 19129, 786, 657, 203, 589, 1487, 81, 612, 893, 26, 10555, 30, 636, 711, 284, 4070, 280, 2149, 284, 4070, 1365, 761, 81, 426, 1446, 280, 18146, 284, 4070, 1365, 1366, 81, 1003, 1446, 280, 313, 36, 34, 34, 42, 31, 34, 43, 31, 35, 39, 70, 35, 39, 44, 39, 37, 44, 34, 34, 31, 34, 42, 44, 34, 34, 20, 284, 4070, 1365, 7895, 1446, 280, 8745, 32, 1297, 81, 7895, 440, 3576, 1778, 894, 657, 284, 4070, 1365, 2816, 1446, 280, 313, 105, 20, 284, 4070, 1365, 2310, 1446, 280, 313, 3576, 1778, 894, 20, 284, 4070, 1365, 38974, 1446, 280, 313, 4108, 20, 284, 296, 280, 310, 12108, 81, 761, 32, 1676, 14605, 3550, 27, 284, 296, 32, 470, 81, 5613, 10374, 893, 81, 74, 9601, 428, 35, 30, 36, 30, 37, 30, 38, 30, 39, 614, 9710, 347, 1774, 42, 392, 636, 47, 426, 30, 11758, 1279, 291, 313, 2310, 563, 313, 858, 392, 313, 1643, 2510, 1294, 15119, 284, 296, 32, 2679, 346, 203, 858, 81, 612, 893, 81, 8442, 346, 203, 1216, 4912, 101, 37214, 9724, 20, 904, 1156, 761, 8223, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 0, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 6, 6, 6, 5, 7, 3, 3, 6, 6, 10, 10, 8, 8, 10, 10, 9, 11, 10, 12, 9, 7, 7, 9, 9, 9, 3, 3, 4, 4, 4, 7, 7, 11, 11, 9, 9, 11, 11, 10, 12, 11, 13, 10, 8, 8, 10, 10, 10, 2, 2, 4, 4, 6, 6, 6, 2, 2, 5, 5, 5, 5, 6, 5, 5, 5, 2, 2, 4, 4, 6, 7, 7, 7, 6, 7, 6, 6, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 2, 2, 4, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 6, 9, 9, 9, 9, 9, 8, 6, 6, 8, 8, 2, 2, 3, 4, 6, 7, 6, 7, 6, 6, 8, 8, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 2, 2, 4, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 6, 9, 9, 9, 9, 9, 8, 6, 6, 8, 8, 2, 2, 3, 4, 6, 7, 6, 7, 6, 6, 8, 8, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 5, 7, 7, 7, 7, 4, 4, 2, 2, 5, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 7, 7, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 2, 2, 5, 7, 7, 4, 4, 6, 6, 2, 2, 5, 7, 7, 4, 4, 6, 6, 6, 6, 2, 2, 5, 7, 7, 4, 4, 6, 6, 2, 2, 4, 4, 7, 7, 7, 6, 7, 6, 8, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 7, 6, 7, 6, 7, 6, 7, 6, 7, 6, 5, 6, 8, 8, 8, 5, 6, 7, 5, 5, 6, 7, 7, 10, 10, 8, 10, 10, 7, 10, 10, 10, 10, 2, 2, 5, 6, 5, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 6, 6, 6, 6, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 6, 1, 0, 2, 1, 1, 1, 1, 1, 2, 6, 6, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 8, 1, 0, 2, 1, 1, 1, 1, 1, 2, 8, 8, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 4, 4, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 1, 2, 4, 4, 0, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 5, 3, 7, 3, 9, 3, 1, 5, 1, 1, 2, 1, 7, 2, 1, 1, 9, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 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 ]
[ 465, 2322, 203, 1070, 638, 1439, 81, 858, 1188, 47265, 203, 1070, 28789, 4313, 32, 4538, 1188, 10070, 203, 1070, 28789, 4313, 32, 3164, 1188, 6687, 203, 1070, 28789, 4313, 1188, 4070, 203, 823, 2108, 2727, 26, 1761, 1006, 711, 284, 546, 7118, 81, 26803, 280, 330, 858, 31, 35, 32, 34, 32, 36, 32, 5366, 32, 13648, 25, 284, 20818, 81, 26803, 280, 330, 858, 31, 35, 32, 34, 32, 37, 32, 5366, 32, 13648, 25, 284, 37684, 81, 3539, 280, 330, 858, 32, 2285, 25, 284, 447, 6520, 81, 35, 280, 330, 858, 31, 4266, 32, 2675, 25, 284, 447, 6520, 81, 36, 280, 330, 858, 31, 4266, 36, 32, 2675, 25, 284, 447, 6520, 81, 37, 280, 330, 858, 31, 4266, 37, 32, 2675, 25, 284, 36793, 81, 35, 280, 330, 761, 32, 2760, 32, 13910, 36, 25, 284, 5895, 81, 14137, 280, 428, 291, 546, 7118, 81, 26803, 30, 291, 20818, 81, 26803, 30, 291, 37684, 81, 3539, 30, 291, 447, 6520, 81, 35, 30, 291, 447, 6520, 81, 36, 30, 291, 447, 6520, 81, 37, 30, 291, 36793, 81, 35, 284, 1481, 284, 4774, 81, 928, 81, 1132, 280, 2107, 287, 1206, 31, 4984, 31, 11250, 370, 330, 35, 32, 34, 32, 37, 785, 284, 665, 894, 81, 3164, 81, 11250, 26, 784, 711, 291, 2799, 81, 2665, 280, 301, 324, 330, 890, 950, 301, 400, 330, 11250, 950, 428, 500, 32, 983, 32, 2524, 26, 784, 32, 8703, 1392, 81, 3197, 30, 330, 858, 31, 1855, 32, 615, 1425, 1014, 2322, 32, 983, 32, 2524, 26, 784, 32, 8703, 1392, 81, 3197, 30, 330, 1855, 31, 4882, 32, 615, 1425, 1014, 2322, 32, 983, 32, 2524, 26, 784, 32, 8703, 1392, 81, 3197, 30, 630, 32, 11356, 81, 26803, 14155, 400, 330, 1648, 950, 330, 35, 32, 34, 32, 37, 370, 400, 330, 426, 950, 330, 858, 370, 400, 330, 5366, 11653, 950, 630, 32, 11356, 81, 26803, 30, 400, 330, 2285, 950, 2322, 32, 983, 32, 2524, 26, 784, 32, 8703, 1392, 81, 3197, 30, 4070, 32, 613, 6177, 81, 39044, 81, 23763, 81, 3197, 30, 630, 32, 15597, 81, 3539, 471, 400, 330, 27208, 81, 2620, 950, 301, 35, 44, 428, 500, 32, 983, 32, 2524, 26, 784, 32, 8703, 1392, 81, 3197, 30, 630, 32, 18086, 81, 35, 471, 9474, 2550, 8479, 34, 30, 9474, 3177, 614, 6619, 36, 44, 428, 500, 32, 983, 32, 2524, 26, 784, 32, 8703, 1392, 81, 3197, 30, 630, 32, 18086, 81, 36, 471, 9474, 6470, 98, 35, 370, 8479, 35, 30, 9474, 3177, 614, 6619, 37, 44, 428, 500, 32, 983, 32, 2524, 26, 784, 32, 8703, 1392, 81, 3197, 30, 630, 32, 18086, 81, 37, 471, 9474, 6470, 98, 35, 370, 8479, 36, 30, 9474, 3177, 6653, 835, 324, 330, 10899, 81, 1515, 950, 2322, 32, 983, 32, 2524, 26, 784, 32, 8703, 1392, 81, 3197, 30, 4070, 32, 613, 6177, 81, 39044, 81, 8703, 13184, 81, 3197, 471, 324, 330, 1455, 950, 301, 400, 330, 11250, 950, 428, 500, 32, 983, 32, 2524, 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, 4, 4, 4, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 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, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 6, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 15, 14, 15, 13, 14, 13, 15, 14, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 11, 11, 14, 15, 13, 14, 13, 15, 14, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 11, 11, 14, 15, 13, 14, 13, 15, 14, 15, 15, 15, 15, 13, 13, 14, 15, 15, 15, 13, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 12, 10, 11, 12, 12, 12, 9, 9, 9, 12, 12, 10, 13, 14, 12, 13, 12, 14, 13, 14, 14, 14, 14, 12, 12, 13, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 14, 14, 14, 12, 9, 9, 12, 12, 12, 12, 10, 13, 12, 12, 17, 16, 17, 15, 16, 15, 17, 16, 17, 17, 17, 17, 15, 15, 16, 17, 17, 17, 15, 13, 13, 13, 14, 13, 13, 13, 13, 11, 13, 12, 12, 17, 16, 17, 15, 16, 15, 17, 16, 17, 17, 17, 17, 15, 15, 16, 17, 17, 17, 15, 13, 13, 15, 15, 15, 13, 14, 13, 13, 13, 13, 11, 13, 12, 12, 17, 16, 17, 15, 16, 15, 17, 16, 17, 17, 17, 17, 15, 15, 16, 17, 17, 17, 15, 13, 13, 15, 15, 15, 13, 14, 13, 13, 13, 13, 9, 7, 7, 10, 10, 10, 10, 8, 11, 12, 10, 11, 10, 12, 11, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 15, 14, 15, 13, 14, 13 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 5, 5, 2, 2, 2, 7, 7, 7, 2, 2, 2, 9, 9, 9, 2, 2, 2, 11, 11, 11, 2, 2, 2, 13, 13, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 1, 2, 9, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 11, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 2, 5, 2, 2, 2, 2, 2, 0, 3, 3, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 5, 2, 2, 2, 2, 2, 0, 5, 5, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 5, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 296, 31501, 203, 1070, 296, 31501, 1188, 617, 203, 1070, 296, 31501, 32, 2304, 1188, 2022, 102, 30, 281, 410, 203, 1070, 5097, 98, 1978, 32, 12892, 32, 3734, 32, 22402, 81, 10401, 32, 22402, 81, 10401, 1188, 6042, 81, 9211, 203, 589, 5742, 26, 9211, 47, 2521, 711, 203, 202, 4635, 81, 9211, 26, 9211, 27, 203, 202, 2245, 81, 9744, 81, 426, 280, 438, 81, 9744, 81, 426, 81, 7891, 26, 9211, 27, 203, 202, 6057, 280, 622, 81, 6057, 26, 9211, 30, 2519, 81, 9744, 81, 426, 27, 203, 202, 605, 280, 622, 81, 605, 26, 9211, 30, 2519, 81, 9744, 81, 426, 27, 203, 202, 601, 6090, 30, 706, 203, 589, 622, 81, 605, 26, 9211, 30, 2519, 81, 9744, 81, 426, 711, 203, 202, 9744, 81, 426, 81, 1495, 280, 313, 7123, 81, 426, 20, 415, 10582, 32, 371, 440, 9744, 81, 681, 657, 11490, 7940, 20, 813, 313, 21061, 81, 426, 20, 203, 202, 9744, 81, 9211, 280, 3447, 426, 563, 10582, 32, 371, 440, 9744, 25651, 415, 10582, 32, 371, 440, 9744, 657, 813, 2149, 203, 202, 2050, 732, 280, 296, 31501, 32, 371, 81, 464, 26, 9211, 32, 371, 440, 9744, 81, 681, 2113, 3829, 280, 3037, 426, 392, 15270, 81, 426, 81, 1495, 614, 4512, 202, 9211, 280, 15270, 81, 9211, 30, 2532, 81, 1170, 347, 426, 657, 203, 202, 6604, 81, 8084, 280, 296, 31501, 32, 1199, 32, 371, 81, 853, 440, 12309, 392, 10582, 32, 6604, 30, 313, 1536, 81, 8084, 657, 203, 202, 31864, 81, 48041, 280, 622, 81, 31864, 81, 48041, 26, 9211, 27, 203, 202, 48041, 81, 20490, 81, 8438, 280, 622, 81, 48041, 81, 20490, 81, 8438, 26, 9211, 27, 203, 202, 605, 280, 1605, 203, 202, 2999, 81, 643, 280, 296, 31501, 1114, 2665, 1371, 357, 202, 20, 31864, 81, 34497, 563, 225, 34, 30, 357, 202, 20, 31864, 81, 15237, 563, 225, 34, 30, 357, 202, 20, 34497, 563, 225, 34, 30, 357, 202, 20, 15237, 563, 225, 34, 30, 357, 202, 20, 21664, 81, 34497, 563, 225, 34, 30, 357, 202, 20, 21664, 81, 15237, 563, 225, 34, 203, 202, 1748, 203, 202, 979, 15270, 328, 35443, 44, 357, 202, 643, 280, 301, 313, 9744, 563, 15270, 32, 426, 320, 357, 202, 325, 2519, 81, 9744, 81, 426, 44, 355, 202, 643, 1365, 9744, 81, 426, 1446, 280, 15270, 32, 371, 26, 9744, 81, 426, 81, 1495, 27, 357, 202, 31864, 81, 34497, 30, 14937, 81, 15237, 280, 14937, 81, 48041, 32, 371, 26, 9744, 32, 426, 30, 428, 34, 30, 225, 34, 1130, 357, 202, 643, 32, 1877, 1371, 355, 202, 20, 31864, 81, 34497, 563, 14937, 81, 34497, 30, 355, 202, 20, 31864, 81, 15237, 563, 14937, 81, 15237, 357, 202, 1748, 357, 202, 34497, 30, 18990, 280, 40485, 81, 20490, 81, 8438, 32, 371, 26, 9744, 32, 426, 30, 428, 34, 30, 225, 34, 1130, 357, 202, 643, 32, 1877, 1371, 355, 202, 20, 34497, 563, 409, 2400, 30, 355, 202 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 6, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 5, 4, 4, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 6, 2, 2, 3, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 5, 5, 8, 9, 8, 10, 10, 10, 10, 6, 8, 8, 5, 5, 7, 7, 7, 7, 2, 2, 5, 5, 5, 4, 4, 9, 9, 7, 9, 10, 9, 11, 11, 5, 5, 7, 8, 7, 9, 9, 5, 5, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 9, 8, 9, 8, 10, 10, 10, 10, 6, 7, 7, 10, 10, 8, 9, 9, 9, 9, 8, 6, 6, 8, 7, 7, 8, 8, 6, 6, 8, 8, 7, 9, 9, 2, 2, 5, 5, 5, 4, 4, 8, 7, 8, 6, 7, 7, 7, 6, 8, 8, 6, 7, 8, 6, 6, 8, 8, 8, 8, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 7, 6, 7, 6, 7, 7, 10, 10, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 10, 10, 8, 9, 7, 7, 7, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 6, 6, 7, 10, 10, 8, 9, 10, 7, 4, 4, 5, 5, 6, 6, 6, 6, 5, 5, 5, 10, 9, 11, 11, 11, 11, 8, 8, 10, 11, 10, 11, 11, 11, 11, 11, 10, 4, 4, 8, 8, 8, 7, 7, 8, 8, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 8, 8, 10, 9, 9, 10, 9, 4, 4, 8, 7, 8, 7, 8, 8, 11, 11, 11, 11, 11, 9, 10, 10, 8, 8, 8, 11, 11, 11, 11, 11, 9, 10, 10, 8, 8, 8, 4, 4, 8, 7, 7, 6, 6, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 8, 10, 9, 9, 10, 9, 4, 4, 8, 7, 8, 7, 8, 8, 11, 11, 11, 9, 10, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 4, 4, 0, 0, 0, 5, 5, 2, 0, 1, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 4, 4, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 5, 5, 2, 2, 1, 1, 0, 0, 7, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 3, 2, 1, 1, 1, 0, 1, 2, 5, 2, 1, 1, 1, 0, 1, 2, 7, 2, 1, 1, 1, 0, 1, 1, 1, 2, 9, 2, 1, 1, 1, 0, 1, 1, 1, 2, 11, 2, 1, 1, 1, 4, 4, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 3, 3, 5, 5, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 3, 3, 5, 5, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1 ]
[ 1070, 48885, 39, 32, 37571, 1188, 1910, 3713, 203, 1070, 48885, 39, 32, 37571, 1188, 1910, 1031, 2659, 2207, 203, 1070, 48885, 39, 32, 37571, 1188, 1910, 6647, 13360, 265, 203, 1070, 48885, 39, 32, 30609, 1188, 10701, 203, 1070, 48885, 39, 32, 30609, 1188, 1910, 28258, 203, 823, 44025, 265, 26, 67, 6647, 13360, 265, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 47, 2521, 711, 291, 2599, 26, 13360, 265, 30, 630, 14585, 1664, 3207, 2544, 27, 291, 11659, 2207, 280, 1910, 1031, 2659, 2207, 346, 291, 11659, 2207, 32, 47145, 26, 9071, 32, 7509, 8990, 27, 291, 11659, 2207, 32, 21643, 7583, 26, 67, 3713, 32, 16835, 27, 291, 11659, 18134, 280, 428, 2993, 377, 21194, 105, 19650, 101, 29, 12456, 48, 6603, 48, 1010, 1461, 46, 36265, 79, 11952, 916, 110, 1548, 110, 1816, 110, 1311, 110, 507, 110, 83, 110, 839, 110, 599, 110, 1131, 110, 84, 110, 98, 110, 91, 110, 2390, 110, 662, 110, 2186, 110, 1274, 110, 359, 110, 671, 110, 90, 77, 35, 31, 40, 33192, 33, 79, 4284, 1446, 291, 630, 32, 6580, 299, 9154, 280, 10440, 67, 28258, 26, 5607, 471, 11659, 2207, 27, 400, 436, 5257, 328, 11659, 18134, 79, 291, 630, 32, 6844, 1811, 6315, 2207, 280, 1910, 1031, 2659, 2207, 346, 291, 630, 32, 6844, 1811, 6315, 2207, 32, 47145, 26, 9071, 32, 1092, 27, 291, 32785, 367, 2207, 280, 1910, 1031, 2659, 2207, 346, 291, 32785, 367, 2207, 32, 47145, 26, 9071, 32, 7509, 14863, 27, 291, 630, 32, 6580, 299, 9154, 32, 1689, 1162, 67, 28258, 33744, 3424, 21328, 471, 400, 32785, 367, 2207, 490, 291, 667, 2207, 280, 1910, 1031, 2659, 2207, 346, 291, 667, 2207, 32, 21643, 34136, 26, 1815, 27, 291, 667, 2207, 32, 47145, 26, 9071, 32, 5466, 27, 291, 630, 32, 6580, 299, 9154, 32, 1689, 1162, 67, 28258, 22899, 84, 77, 51, 31, 21948, 31, 108, 34, 31, 43, 81, 6155, 12390, 47, 1736, 346, 2113, 400, 667, 2207, 490, 291, 1829, 953, 13592, 280, 1910, 1031, 2659, 2207, 346, 291, 1829, 953, 13592, 32, 47145, 26, 9071, 32, 7509, 63, 27302, 27, 291, 1829, 953, 13592, 32, 21643, 7583, 26, 67, 3713, 32, 16835, 27, 291, 630, 32, 6580, 299, 9154, 32, 1689, 1162, 67, 28258, 21870, 314, 110, 823, 110, 1617, 110, 3478, 110, 1644, 110, 2273, 110, 1621, 110, 426, 110, 681, 110, 853, 43732, 471, 7026, 953, 13592, 490, 291, 630, 32, 3647, 2130, 3487, 280, 1910, 28258, 440, 2904, 657, 291, 630, 32, 3647, 2102, 3487, 280, 1910, 28258, 440, 4289, 657, 284, 665, 8839, 2227, 26, 784, 30, 1344, 711, 291, 436, 5257, 30, 15477, 328, 630, 32, 6580, 299, 9154, 44, 324, 6101, 280, 1910, 28258, 26, 5607, 27, 324, 1650, 280, 6101, 32, 1055, 383, 26, 878, 27, 324, 2218, 1650, 2377, 225, 34, 44, 400, 3104, 280, 6101, 32, 16317, 2380, 346, 400, 630, 32, 470, 2207, 26, 1055, 30, 3104, 30, 15477, 27, 400, 1650, 280, 6101, 32, 1055, 383, 26, 878, 30, 1650, 474, 3104, 27, 291, 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, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 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, 6, 6, 8, 8, 8, 8, 4, 4, 8, 7, 8, 7, 9, 8, 9, 9, 7, 4, 4, 8, 7, 8, 8, 7, 9, 9, 8, 9, 7, 4, 4, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 10, 10, 10, 11, 10, 8, 9, 8, 7, 7, 8, 8, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 8, 9, 9, 9, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 4, 4, 8, 8, 7, 8, 7, 9, 8, 9, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 10, 10, 10, 12, 13, 10, 8, 8, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 8, 8, 4, 4, 8, 7, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 7, 9, 8, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 12, 12, 8, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 4, 4, 8, 8, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 8, 8, 7, 8, 8, 7, 9, 9, 8, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 10, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 10, 10, 11, 10, 6, 6, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 7, 8, 8, 9, 7, 7, 7, 10, 10, 12, 13, 13, 12, 8, 8, 11, 12, 12, 11, 12, 11, 11, 11, 11, 11, 8, 8, 10, 10, 12, 13, 13, 12, 13, 12, 12, 13, 13, 12, 4, 4 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 3, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4 ]
[ 465, 5237, 203, 465, 17778, 203, 465, 1133, 203, 465, 7060, 203, 465, 26313, 203, 465, 3772, 5068, 2059, 30, 7155, 5068, 2059, 203, 589, 1913, 81, 9889, 2262, 284, 1913, 86, 280, 3772, 5068, 2059, 32, 5068, 2059, 39109, 5007, 370, 225, 42, 34, 42, 34, 471, 7155, 5068, 2059, 32, 5291, 5068, 29949, 27, 284, 1913, 86, 32, 6455, 81, 1444, 424, 346, 284, 442, 203, 589, 1678, 81, 9889, 2262, 284, 1913, 86, 280, 3772, 5068, 2059, 32, 5068, 2059, 39109, 5007, 370, 225, 38, 38, 38, 37, 471, 7155, 5068, 2059, 32, 5291, 5068, 29949, 27, 284, 1913, 86, 32, 4817, 280, 17778, 32, 4071, 81, 4817, 308, 37332, 32, 4817, 30, 2145, 81, 2671, 47, 1815, 30, 324, 6445, 761, 1057, 8761, 15963, 761, 32, 15963, 683, 284, 1913, 86, 32, 6455, 81, 1444, 424, 346, 284, 442, 203, 589, 7060, 81, 4531, 26, 4994, 30, 3118, 711, 291, 1459, 463, 4282, 21394, 30249, 29, 53, 19, 9080, 35866, 683, 291, 5237, 32, 4775, 26, 34, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1913, 280, 26313, 32, 3021, 26, 426, 1057, 525, 1786, 370, 1760, 47, 525, 81, 9889, 27, 284, 1913, 32, 470, 26376, 26, 1815, 27, 284, 1678, 280, 26313, 32, 3021, 26, 426, 1057, 525, 422, 26645, 370, 1977, 47, 641, 81, 9889, 27, 284, 1678, 32, 470, 26376, 26, 1815, 27, 284, 1913, 32, 1366, 346, 284, 1678, 32, 1366, 346, 284, 7060, 32, 7295, 26, 7295, 32, 14840, 1844, 30, 7060, 81, 4531, 27, 284, 1459, 440, 8331, 29580, 29, 53, 372, 4719, 322, 3261, 657, 284, 7060, 32, 12089, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 5, 4, 4, 7, 7, 6, 7, 7, 6, 9, 9, 7, 8, 8, 8, 8, 7, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 6, 5, 6, 6, 6, 6, 5, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 5, 4, 4, 7, 7, 6, 7, 7, 6, 9, 9, 7, 8, 8, 8, 8, 7, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 6, 5, 6, 4, 4, 6, 7, 7, 7, 5, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 6, 5, 6, 6, 6, 6, 5, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 6, 7, 8, 8, 8, 6, 2, 2, 5, 6, 6, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 8, 7, 8, 8, 8, 6, 2, 2, 5, 6, 6, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 7, 6, 7, 7, 5, 5, 6, 6, 5, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 7, 7, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 5, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 0, 9, 9, 0, 0, 1, 1, 1, 1, 9, 9, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 3, 2, 2, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 3, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 465, 1133, 203, 465, 5741, 203, 465, 6234, 203, 1070, 26313, 1188, 7800, 30, 15105, 203, 7490, 32, 6390, 1063, 26, 2649, 47, 7490, 32, 1589, 27, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 3903, 17001, 12698, 44, 284, 665, 1156, 1664, 3207, 784, 30, 3408, 1057, 5007, 370, 2601, 47, 34, 711, 291, 630, 32, 4817, 280, 6234, 32, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 291, 630, 32, 4817, 32, 2539, 1162, 2035, 30, 625, 490, 291, 630, 32, 4817, 32, 12220, 26, 39, 27, 291, 415, 2601, 610, 225, 34, 44, 324, 2601, 280, 630, 32, 4817, 32, 371, 9184, 426, 8532, 35, 79, 291, 630, 32, 625, 280, 2601, 291, 630, 32, 1517, 4631, 280, 15105, 346, 291, 630, 32, 1517, 280, 301, 324, 313, 10331, 563, 2149, 291, 320, 291, 630, 32, 9279, 1208, 280, 2149, 291, 630, 32, 314, 1208, 280, 2149, 284, 665, 1420, 26, 784, 711, 291, 630, 32, 9453, 280, 7800, 26, 1977, 47, 784, 1114, 1945, 27, 291, 630, 32, 9453, 32, 1366, 346, 284, 665, 617, 1945, 26, 784, 711, 291, 4567, 30, 2965, 280, 630, 32, 4817, 32, 7494, 346, 291, 706, 280, 3330, 291, 2218, 2933, 44, 324, 706, 1454, 4567, 32, 12084, 26, 35, 34, 36, 38, 27, 324, 2218, 2933, 44, 400, 25521, 280, 706, 32, 1809, 9442, 96, 683, 400, 415, 25521, 863, 429, 35, 44, 528, 630, 32, 1517, 4631, 32, 22214, 346, 528, 1596, 44, 715, 2361, 750, 280, 706, 2867, 22331, 79, 715, 630, 32, 2416, 1151, 26, 1260, 32, 12474, 26, 605, 2867, 22331, 5259, 528, 2940, 3268, 619, 484, 44, 715, 1459, 313, 2930, 44, 904, 101, 20, 904, 484, 528, 8295, 44, 715, 706, 280, 706, 77, 22331, 29, 35, 10056, 715, 630, 32, 1517, 4631, 32, 3779, 346, 400, 813, 44, 528, 1626, 284, 665, 2164, 1151, 26, 784, 30, 1692, 711, 291, 22432, 280, 1692, 710, 1151, 785, 291, 415, 22432, 610, 313, 20881, 2221, 2727, 2130, 563, 324, 630, 32, 1517, 710, 33088, 785, 280, 1692, 1365, 1290, 3270, 1446, 324, 630, 32, 1517, 710, 9771, 785, 280, 1692, 1365, 7473, 1446, 291, 4348, 22432, 610, 313, 20881, 2221, 3782, 2130, 563, 324, 3992, 606, 280, 1692, 710, 3782, 2484, 785, 324, 31416, 280, 1692, 1365, 9595, 15342, 1446, 324, 4308, 280, 1692, 1365, 3289, 1446, 324, 3992, 1120, 280, 301, 400, 313, 314, 563, 3992, 606, 30, 400, 313, 1516, 39342, 20, 499, 2069, 26, 35242, 471, 400, 313, 35242, 21054, 563, 31416, 30, 400, 313, 35242, 26735, 20, 499, 5518, 8982, 313, 35242, 7371, 20, 499, 5518, 8982, 313, 35242, 563, 301, 11057, 10019, 499, 301, 16501, 313, 314, 563, 10019, 30, 715, 313, 1516, 6701, 20, 499, 225, 34, 30, 715, 313, 8246, 26735, 20, 499, 5518, 16501, 313, 8246, 7371, 20, 499, 5518, 16501, 313, 8246, 563, 6663, 715, 313, 5898, 563, 3177, 528, 320, 400, 436, 10019, 328, 31416, 835, 400, 313, 5898, 563, 3177, 30, 400, 313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 4, 3, 4, 4, 3, 5, 4, 6, 5, 6, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 8, 12, 13, 11, 12, 12, 12, 11, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 7, 7, 10, 10, 8, 7, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 10, 9, 11, 10, 11, 8, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 6, 6, 7, 7, 7, 7, 10, 10, 12, 13, 12, 15, 14, 8, 8, 9, 10, 10, 12, 9, 9, 9, 14, 15, 15, 13, 14, 13, 10, 10, 11, 11, 11, 15, 14, 14, 15, 17, 15, 12, 12, 15, 16, 16, 15, 18, 17, 18, 17, 19, 18, 20, 18, 11, 11, 12, 13, 13, 12, 12, 12, 14, 17, 17, 17, 17, 17, 15, 15, 11, 11, 12, 12, 12, 15, 15, 16, 19, 18, 19, 17, 13, 13, 17, 18, 18, 16, 17, 16, 9, 9, 10, 10, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 9, 9, 4, 4, 5, 6, 6, 8, 8, 8, 8, 8, 5, 5, 10, 11, 9, 11, 11, 8, 8, 9, 11, 11, 11, 6, 6, 10, 11, 9, 11, 11, 8, 8, 9, 11, 11, 5, 5, 6, 7, 7, 9, 9, 9, 9, 9, 6, 6, 10, 9, 9, 10, 12, 12, 12, 7, 7, 9, 9, 10, 12, 12, 12, 7, 7, 9, 9, 10, 12, 12, 7, 7, 10, 9, 9, 10, 10, 13, 13, 11, 12, 10, 10, 10, 13, 13, 13, 11, 11, 13, 14, 13, 10, 10, 13, 13, 13, 11, 10, 10, 10, 13, 13, 13, 11, 11, 10, 10, 13, 13, 13, 11, 11, 10, 10, 13, 13, 11, 12, 12, 13, 13, 14, 14, 17, 17, 15, 14, 14, 14, 17, 17, 17, 15, 15, 16, 14, 14, 14, 17, 17, 17, 15, 15, 14, 14, 17, 17, 17, 15, 15, 14, 14, 17, 17, 15, 14, 14, 17, 17, 15, 14, 14, 12, 12, 13, 13, 13, 12, 10, 10, 13, 13, 11, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 7, 7, 1, 1, 7, 7, 7, 0, 1, 1, 1, 2, 2, 3, 1, 2, 2, 5, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 3, 3, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 4, 4, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 3, 3, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 4, 3, 3, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 3, 3, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 2, 3, 3, 0, 0, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 2, 5, 2, 2, 2, 1, 1, 2, 7, 7, 2, 2, 1, 1, 2, 9, 9, 2, 2, 1, 2, 11, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 1, 1, 2, 5, 5, 2, 2, 1, 1, 2, 7, 7, 2, 2, 1, 2, 9, 2, 2, 1, 2, 11, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 13, 2, 2, 2 ]
[ 9592, 769, 44435, 645, 4262, 11323, 769, 5881, 203, 465, 2361, 203, 9592, 769, 14422, 645, 6713, 7599, 769, 5881, 203, 1070, 8527, 32, 525, 1188, 17874, 203, 1070, 8527, 32, 36287, 1188, 2908, 81, 452, 81, 1986, 261, 203, 1070, 8527, 32, 2387, 1188, 4448, 1222, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 28497, 1188, 6207, 81, 3648, 203, 1070, 14476, 33921, 1188, 10566, 9693, 203, 1270, 44, 284, 645, 30419, 1188, 41805, 203, 7343, 29986, 44, 10065, 645, 298, 2209, 6634, 32, 1473, 314, 1188, 41805, 203, 9592, 769, 14422, 645, 3022, 18647, 33, 2536, 769, 5881, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 1442, 88, 32, 3378, 1188, 4004, 261, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 1442, 88, 32, 3378, 1188, 1541, 81, 4170, 30, 37168, 81, 4170, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 1442, 88, 32, 3378, 1188, 16650, 81, 15916, 11980, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 1442, 88, 32, 4338, 32, 9147, 1188, 622, 81, 1251, 81, 2282, 81, 4151, 30, 371, 81, 10500, 81, 1003, 261, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 1442, 88, 32, 4338, 32, 9147, 1188, 1487, 81, 89, 12610, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 1442, 88, 32, 4338, 32, 9147, 1188, 622, 81, 1251, 81, 4519, 30, 622, 81, 1637, 30, 622, 81, 1363, 81, 426, 81, 314, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 1442, 88, 32, 4338, 32, 1903, 81, 4338, 1188, 3276, 81, 1903, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 3550, 1188, 570, 635, 34437, 81, 43982, 81, 1345, 13686, 2893, 726, 81, 41461, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 3550, 1188, 570, 635, 34437, 81, 43982, 81, 1345, 13686, 2893, 726, 81, 4855, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 3550, 1188, 570, 635, 34437, 81, 43982, 81, 5451, 35411, 81, 2319, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 3550, 1188, 570, 635, 34437, 81, 43982, 81, 1345, 13686, 2893, 726, 81, 48384, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 3550, 1188, 570, 635, 34437, 81, 43982, 81, 1345, 13686, 2893, 726, 81, 10729, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 3550, 1188, 570, 635, 34437, 81, 43982, 81, 7516, 34253, 7161, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 3550, 1188, 570, 635, 34437, 81, 43982, 81, 10046, 1724, 8303, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 3550, 1188, 570, 635, 34437, 81, 43982, 81, 6016, 81, 42231, 2917, 203, 1070, 485, 2174, 3731, 81, 1442, 88, 32, 3550, 1188, 570, 635, 34437, 81, 43982, 81, 62, 15067, 17475, 203, 57, 635, 81, 3539, 280, 1541, 81, 4170, 32, 658, 14178, 81, 681, 950, 330, 57, 1598, 620, 370, 330, 426, 950, 1044, 25, 974, 18143, 203, 33959, 7281, 81, 5000, 81, 270, 280, 1541, 81, 4170, 32, 658, 14178, 22, 363, 950, 7316, 29464, 681, 950, 330, 57, 1598, 620, 8885, 5053, 426, 950, 330, 66, 363 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 4, 6, 6, 5, 6, 6, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 1, 1, 0, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 0, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 5, 5, 4, 5, 4, 8, 8, 8, 6, 8, 8, 8, 8, 5, 8, 8, 6, 8, 8, 8, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 4, 5, 4, 8, 8, 8, 6, 11, 11, 11, 9, 11, 11, 11, 11, 7, 11, 11, 9, 11, 11 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 3, 3, 3, 3, 3, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 10, 10, 0, 0, 0, 0, 0, 1, 2, 2, 1, 4, 10, 10, 0, 0, 11, 11, 0, 0, 0, 0, 0, 1, 2, 2, 1, 4, 11, 11, 0, 0, 11, 11, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 1, 2, 2, 1, 4, 12, 12, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 1, 2, 2, 1, 4, 1, 6, 13, 13, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 1, 2, 2, 1, 4, 1, 6, 14, 14, 0, 0, 0, 0, 15, 15, 0, 0, 0, 0, 0, 1, 2, 2, 1, 4, 1, 6, 15, 15, 0, 0, 0, 0, 15, 15, 0, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 16, 16, 0, 0, 0, 17, 17, 0, 0, 0, 0, 0, 1, 2, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 18, 0, 0, 0, 0, 0, 1, 2, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 19, 0, 0, 0, 0, 0, 1, 2, 19, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 20, 0, 0, 0, 0, 0, 1, 2, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 21, 0, 0, 0, 0, 0, 1, 2, 21, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 22, 0, 0, 0, 0, 0, 1, 2, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 23, 0, 0, 0, 0, 0, 1, 2, 23, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 0, 0, 0, 0, 0, 1, 2, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 25, 0, 0, 0, 0, 0, 1, 2, 25, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 3, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1 ]
[ 1070, 18971, 1188, 24014, 203, 465, 18971, 203, 1070, 316, 583, 283, 1188, 3725, 3070, 203, 1070, 316, 583, 283, 1188, 45881, 203, 465, 13247, 203, 465, 2361, 203, 1270, 44, 284, 645, 18971, 32, 407, 32, 26298, 1188, 45612, 261, 203, 7343, 29986, 44, 284, 1188, 2322, 284, 2935, 1515, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 505, 2610, 284, 2322, 32, 3731, 32, 983, 32, 3215, 26, 34, 30, 2935, 1515, 27, 284, 645, 18971, 32, 407, 32, 26298, 1188, 45612, 203, 100, 280, 13247, 32, 15891, 14493, 26, 2035, 1057, 5007, 370, 2601, 47, 40, 37, 41, 43, 30, 3082, 47, 34, 27, 203, 725, 280, 24014, 4064, 426, 8223, 203, 26298, 280, 45612, 26, 725, 27, 203, 50, 725, 32, 4351, 32087, 203, 589, 17964, 2262, 284, 415, 540, 32, 371, 463, 5860, 7880, 683, 438, 1665, 499, 291, 44558, 280, 3725, 3070, 473, 291, 44558, 32, 371, 1792, 4023, 30808, 463, 5860, 7880, 370, 35, 34, 27, 291, 19990, 383, 70, 18936, 280, 44558, 32, 371, 1792, 20328, 346, 291, 540, 32, 470, 463, 5860, 7880, 370, 2361, 32, 16958, 26, 11400, 383, 70, 18936, 490, 291, 442, 18971, 32, 1260, 1147, 26, 1267, 47, 11400, 383, 70, 18936, 27, 284, 813, 499, 291, 19990, 383, 70, 18936, 280, 540, 32, 371, 463, 5860, 7880, 683, 291, 44558, 280, 2361, 32, 12474, 26, 11400, 383, 70, 18936, 27, 291, 442, 18971, 32, 1260, 1147, 26, 1267, 47, 46139, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1123, 32, 2811, 280, 2933, 284, 1123, 32, 1945, 26, 36803, 47, 1815, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 3, 3, 1, 1, 2, 2, 2, 2, 2, 4, 3, 3, 6, 5, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 13, 12, 13, 11, 12, 11, 12, 12, 11, 3, 3, 8, 9, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 3, 3, 4, 5, 6, 5, 6, 4, 4, 0, 3, 2, 2, 4, 5, 5, 4, 6, 5, 7, 7, 4, 5, 6, 6, 6, 6, 4, 4, 5, 6, 4, 0, 3, 2, 2, 4, 5, 5, 0, 3, 2, 2, 4, 5, 4, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 2, 2, 4, 7, 8, 7, 9, 9, 9, 5, 5, 4, 4, 4, 7, 7, 9, 9, 5, 5, 8, 9, 9, 9, 9, 8, 10, 10, 10, 9, 9, 8, 5, 5, 8, 8, 8, 7, 7, 9, 10, 10, 10, 9, 5, 5, 8, 9, 8, 10, 10, 10, 8, 10, 11, 10, 11, 11, 11, 11, 10, 5, 5, 6, 8, 9, 9, 8, 10, 9, 10, 10, 10, 10, 8, 4, 4, 5, 5, 5, 9, 9, 9, 8, 8, 10, 11, 10, 12, 12, 12, 6, 6, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 6, 6, 7, 9, 10, 10, 9, 11, 10, 11, 9, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 4, 4, 2, 2, 5, 6, 5, 7, 6, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 1, 2, 1, 4, 0, 0, 6, 6, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 3, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 3, 2, 2, 2, 2, 1, 1, 5, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 10, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 3, 0, 2, 2, 2, 2, 1, 1, 1, 2, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 5, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 11, 11, 0, 0, 1, 1, 1, 1, 11, 11, 0, 2, 0, 0, 3, 3, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 2322, 203, 1070, 638, 3893, 1188, 570, 16202, 789, 924, 203, 1070, 638, 8524, 1188, 3619, 37, 93, 203, 325, 3619, 37, 93, 44, 284, 1188, 1359, 3922, 203, 1824, 44, 284, 1188, 3383, 2825, 619, 1359, 3922, 203, 505, 464, 505, 280, 2107, 1063, 785, 203, 823, 3383, 26, 1473, 711, 284, 617, 10514, 280, 301, 291, 330, 1199, 950, 3056, 869, 33, 2613, 33, 89, 31, 46637, 370, 291, 330, 12696, 950, 3056, 869, 33, 1356, 33, 89, 31, 46637, 370, 291, 330, 6956, 950, 330, 1831, 30, 7615, 30, 4189, 370, 291, 330, 1199, 81, 16732, 950, 330, 933, 555, 47909, 15461, 25821, 2372, 33, 89, 31, 46637, 31, 1199, 370, 291, 330, 37132, 81, 496, 950, 2550, 291, 330, 37132, 81, 28862, 950, 2550, 291, 330, 751, 81, 2649, 950, 2550, 291, 330, 751, 81, 761, 950, 3056, 869, 33, 751, 33, 89, 31, 46637, 32, 751, 370, 291, 330, 1320, 81, 4018, 950, 330, 625, 381, 370, 291, 330, 539, 81, 24364, 950, 330, 1870, 370, 284, 320, 284, 617, 1906, 81, 426, 280, 330, 1831, 25, 284, 617, 12757, 81, 2011, 280, 330, 6990, 935, 8131, 16436, 284, 665, 1156, 1664, 3207, 784, 30, 1359, 81, 761, 47, 2521, 711, 291, 630, 1114, 1163, 280, 1359, 3922, 32, 46487, 26, 784, 1114, 10514, 27, 291, 24390, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 35490, 4064, 761, 28154, 291, 415, 1359, 81, 761, 438, 1665, 44, 324, 3304, 81, 2536, 280, 428, 400, 2322, 32, 983, 32, 2524, 3247, 6698, 370, 330, 89, 31, 46637, 32, 4687, 1425, 400, 2322, 32, 983, 32, 2524, 26, 15598, 30, 31001, 370, 330, 6698, 370, 330, 89, 31, 46637, 32, 4687, 1425, 324, 1481, 324, 436, 1672, 81, 761, 328, 3304, 81, 2536, 44, 400, 415, 2322, 32, 983, 32, 4658, 26, 1772, 81, 761, 711, 528, 1359, 81, 761, 280, 1672, 81, 761, 528, 1626, 291, 8436, 81, 2536, 280, 630, 1114, 1163, 32, 850, 26, 1163, 81, 761, 27, 291, 415, 2069, 26, 12881, 81, 2536, 27, 610, 225, 34, 44, 324, 3636, 570, 16202, 789, 924, 463, 974, 646, 2431, 44, 904, 100, 25, 904, 1359, 81, 761, 27, 284, 665, 617, 13697, 81, 1070, 81, 761, 26, 784, 30, 5601, 711, 291, 1596, 44, 324, 442, 630, 1114, 1163, 32, 371, 26, 784, 1114, 1906, 81, 426, 30, 5601, 27, 291, 2940, 308, 1163, 3922, 32, 2023, 5426, 924, 30, 1359, 3922, 32, 2023, 2828, 924, 711, 324, 442, 1665, 284, 665, 617, 13697, 81, 1070, 81, 12757, 26, 784, 30, 5601, 711, 291, 442, 2322, 32, 12757, 32, 371, 26, 784, 1114, 12757, 81, 2011, 474, 5601, 32, 7607, 1026, 1665, 27, 284, 665, 1156, 32110, 3207, 784, 30, 5601, 711, 291, 415, 5601, 328, 630, 1114, 10514, 44, 324, 645, 81, 2121, 280, 630, 1114, 13697, 81, 1070, 81, 12757, 26, 2437, 27, 324, 415, 645, 81, 2121, 438, 646, 1665, 44, 400, 442, 645, 81, 2121, 324, 442, 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, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 4, 7, 5, 5, 6, 0, 3, 3, 3, 2, 2, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 5, 5, 8, 8, 8, 8, 6, 5, 5, 8, 8, 8, 8, 6, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 5, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 9, 8, 9, 8, 10, 9, 10, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 9, 9, 8, 8, 9, 9, 12, 13, 11, 12, 11, 13, 13, 11, 13, 13, 13, 13, 13, 13, 9, 9, 12, 13, 11, 12, 11, 12, 11, 11, 13, 11, 13, 13, 11, 13, 13, 13, 13, 13, 13, 9, 9, 6, 6, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 9, 12, 13, 11, 12, 11, 12, 12, 12, 11, 9, 9, 13, 13, 12, 12, 13, 13, 10, 10, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 4, 4, 5, 8, 9, 9, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 10, 11, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 9, 5, 5, 6, 9, 9, 8, 9, 9, 9, 7, 7, 9, 8, 9, 9, 9, 7, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 9, 10, 10, 10, 8, 8, 10, 11, 10, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 7, 9, 9, 8, 8, 8, 7, 7, 7, 9, 10, 10, 6, 6, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 1, 1, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 6, 6, 2, 1, 2, 6, 6, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 2, 2, 1, 1, 1, 2, 11, 2, 2, 1, 1, 1, 2, 13, 2, 2, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 17, 1, 1, 2, 2, 2, 1, 1, 1, 2, 19, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 3, 3, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 3, 3, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 0, 0, 1, 2, 2, 2, 1, 1, 0, 3, 2, 2, 2, 1, 3, 3, 0, 4, 4, 5, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 4, 4, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2 ]
[ 505, 464, 505, 280, 428, 284, 330, 7929, 6938, 3300, 370, 284, 330, 7929, 6938, 34421, 370, 284, 330, 3155, 97, 6938, 34421, 370, 203, 79, 203, 505, 2751, 426, 505, 280, 330, 7929, 17651, 25, 203, 465, 2322, 203, 465, 5237, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 465, 15246, 203, 1070, 4377, 1188, 617, 8774, 30, 2568, 203, 1070, 4377, 1439, 1188, 24563, 1761, 203, 1070, 638, 8268, 81, 761, 81, 1439, 1188, 3678, 34421, 1761, 30, 25606, 85, 6938, 3300, 1761, 203, 325, 5237, 32, 1648, 81, 1338, 333, 308, 37, 30, 711, 284, 645, 44524, 1188, 44524, 203, 1824, 44, 284, 645, 3363, 1188, 44524, 203, 823, 12002, 6938, 3300, 26, 356, 85, 6938, 3300, 1761, 711, 284, 1156, 2751, 426, 505, 280, 330, 2436, 53, 12002, 17651, 19292, 25, 284, 1156, 3153, 505, 280, 330, 6308, 25, 284, 3048, 280, 330, 14581, 10632, 44, 632, 6695, 17651, 225, 36, 54, 33, 37, 54, 16510, 31, 974, 10276, 25, 284, 665, 1156, 1664, 3207, 784, 30, 310, 2301, 19166, 47, 35, 30, 1688, 620, 1057, 15814, 4367, 31979, 3552, 370, 1115, 5321, 711, 291, 25606, 85, 6938, 3300, 1761, 3667, 1664, 3207, 324, 630, 30, 310, 2301, 19166, 47, 96, 2301, 19166, 30, 1688, 620, 47, 2024, 620, 30, 1115, 5321, 291, 829, 291, 630, 3667, 7174, 280, 15246, 32, 15814, 4367, 31979, 3552, 346, 291, 630, 3667, 3378, 280, 1605, 284, 477, 16099, 284, 665, 3668, 81, 1160, 81, 267, 81, 7174, 26, 7174, 30, 1542, 30, 706, 81, 426, 1057, 750, 7831, 291, 415, 6937, 26, 1160, 30, 5436, 711, 324, 436, 1202, 328, 1542, 32, 3494, 2262, 400, 12002, 6938, 3300, 32, 1850, 81, 1160, 81, 267, 81, 7174, 26, 7174, 30, 1542, 77, 678, 614, 706, 81, 426, 47, 678, 27, 324, 442, 9526, 291, 1447, 280, 9526, 32, 936, 18707, 346, 291, 310, 35, 30, 310, 36, 30, 310, 37, 280, 1447, 77, 35, 614, 1447, 77, 37, 614, 1447, 77, 39, 79, 291, 415, 310, 35, 319, 310, 36, 319, 310, 37, 333, 2069, 26, 1160, 711, 324, 3636, 617, 8774, 32, 14581, 10632, 924, 26, 400, 330, 1243, 26781, 101, 82, 1401, 1829, 706, 2784, 322, 2702, 9526, 1401, 12389, 372, 7629, 4564, 400, 904, 706, 81, 426, 324, 829, 291, 4348, 310, 35, 319, 310, 36, 319, 310, 37, 848, 2069, 26, 1160, 711, 324, 3636, 617, 8774, 32, 14581, 10632, 924, 26, 400, 330, 1243, 26781, 101, 82, 1957, 646, 1159, 8448, 706, 372, 5318, 322, 2702, 9526, 6945, 101, 12389, 4564, 400, 904, 706, 81, 426, 324, 829, 291, 415, 1542, 32, 29704, 848, 225, 35, 461, 1542, 32, 29704, 333, 225, 37, 44, 324, 310, 980, 280, 1542, 32, 3229, 77, 35, 79, 324, 1542, 280, 2065, 32, 12091, 26, 1160, 30, 308, 96, 35, 30, 310, 36, 30, 310, 37, 30, 310, 980, 490, 324, 1542, 280, 2065, 32, 10415, 15019, 26, 1160, 30, 225, 34, 30, 225, 35, 27, 324, 1542, 280, 2065, 32, 10415, 15019, 26, 1160, 30, 225, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 4, 4, 4, 2, 2, 4, 3, 3, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 7, 7, 7, 7, 7, 4, 6, 4, 3, 3, 8, 8, 8, 8, 7, 8, 8, 7, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 9, 8, 9, 9, 7, 7, 9, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 7, 7, 6, 8, 8, 4, 4, 6, 8, 9, 8, 8, 8, 6, 6, 8, 8, 8, 10, 11, 10, 8, 8, 13, 13, 12, 13, 13, 13, 13, 13, 13, 13, 12, 13, 12, 12, 13, 14, 13, 12, 14, 14, 13, 14, 12, 7, 7, 8, 5, 5, 7, 7, 9, 10, 10, 9, 5, 5, 9, 8, 8, 9, 8, 8, 9, 7, 7, 9, 10, 9, 8, 9, 10, 9, 8, 9, 10, 9, 5, 5, 6, 10, 9, 9, 10, 8, 8, 9, 7, 7, 9, 10, 9, 6, 6, 8, 11, 10, 11, 11, 11, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 12, 12, 10, 10, 6, 6, 7, 11, 10, 10, 11, 9, 9, 10, 8, 8, 10, 11, 10, 7, 7, 9, 12, 11, 12, 12, 12, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 14, 14, 14, 12, 12, 12, 13, 13, 11, 11, 5, 5, 6, 9, 10, 8, 8, 9, 7, 7, 9, 10, 8, 8, 9, 6, 6, 6, 10, 9, 9, 11, 12, 10, 11, 10, 7, 7, 9, 9, 11, 12, 11, 12, 11, 11, 13, 13, 12, 12, 13, 12, 12, 13, 12, 12, 13, 12, 7, 7, 9, 9, 11, 12, 12, 11, 12, 11, 11, 12, 11, 11, 12, 11, 7, 7, 9, 9, 11, 12, 12, 11, 12, 11, 11, 12 ]
[ 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 0, 5, 5, 1, 1, 0, 6, 6, 0, 7, 7, 7, 7, 0, 7, 7, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 2, 2, 2, 1, 1, 1, 2, 2, 10, 10, 0, 0, 0, 10, 4, 4, 4, 4, 0, 0, 0, 0, 11, 11, 1, 1, 2, 1, 1, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 5, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 5, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 3, 1, 0, 0, 5, 2, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 4, 2, 4, 4, 4, 3, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 4, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 4, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3 ]
[ 465, 3995, 203, 1070, 883, 2807, 32, 7904, 519, 1704, 32, 3792, 1188, 11633, 203, 1070, 883, 2807, 32, 7904, 519, 1704, 32, 9244, 1188, 3834, 203, 1070, 883, 2807, 32, 2846, 1188, 11600, 3529, 1669, 203, 1070, 4942, 32, 9244, 1188, 10860, 102, 26251, 8816, 203, 1070, 5034, 32, 6979, 32, 5159, 81, 2593, 8358, 32, 3483, 1188, 1477, 203, 1070, 3500, 32, 1199, 1188, 1156, 8288, 81, 1170, 81, 6979, 81, 314, 619, 2290, 81, 751, 203, 505, 2116, 505, 280, 330, 1189, 28491, 570, 626, 25, 203, 505, 11794, 505, 280, 330, 10581, 225, 36, 34, 35, 42, 30, 3706, 102, 26251, 81, 24472, 5412, 25, 203, 505, 36157, 505, 280, 1605, 203, 505, 2077, 505, 280, 330, 21181, 104, 37, 25, 203, 505, 1648, 505, 280, 330, 34, 32, 35, 25, 203, 505, 42086, 505, 280, 330, 1189, 28491, 570, 626, 25, 203, 505, 1935, 505, 280, 330, 615, 669, 12693, 626, 35, 50, 7253, 32, 508, 25, 203, 505, 1517, 505, 280, 330, 20235, 25, 203, 50, 6601, 3529, 1669, 203, 823, 10211, 1380, 5732, 2978, 53, 8816, 26, 4859, 711, 284, 1509, 81, 681, 280, 10860, 102, 26251, 8816, 284, 665, 745, 81, 3792, 26, 784, 30, 1326, 30, 1789, 30, 1359, 711, 291, 8971, 81, 1357, 280, 1326, 32, 2225, 291, 8971, 81, 314, 280, 34873, 2524, 26, 3855, 32, 11447, 440, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 25870, 657, 436, 816, 328, 2155, 26, 37, 36, 490, 291, 8971, 81, 1357, 32, 11170, 280, 8971, 81, 1357, 32, 11170, 32, 2998, 12573, 11134, 415, 8971, 81, 1357, 32, 11170, 438, 646, 1665, 813, 1665, 291, 1477, 26, 6979, 81, 1357, 32, 2035, 30, 5518, 5518, 8971, 81, 1357, 32, 11170, 30, 8971, 81, 1357, 32, 5457, 81, 4215, 30, 8971, 81, 1357, 32, 3426, 81, 1347, 30, 3083, 35, 30, 225, 35, 30, 330, 34439, 370, 225, 34, 30, 313, 272, 392, 8971, 81, 1357, 32, 10529, 30, 8971, 81, 1357, 32, 38124, 81, 5866, 30, 8971, 81, 1357, 32, 31039, 30, 5518, 8971, 81, 314, 30, 1090, 313, 17749, 28887, 519, 1704, 657, 291, 3276, 280, 2290, 81, 751, 26, 6979, 81, 314, 30, 313, 272, 657, 291, 436, 1056, 328, 3276, 44, 324, 1984, 280, 1056, 1365, 8472, 1446, 474, 17917, 474, 1056, 1365, 3624, 1446, 324, 1789, 1454, 3834, 26, 965, 47, 965, 30, 1780, 47, 1267, 1365, 17513, 3439, 1014, 4504, 81, 1311, 347, 7294, 438, 20647, 444, 372, 7402, 2978, 53, 475, 2636, 32526, 3003, 1014, 2552, 81, 1172, 1057, 5159, 81, 2593, 8358, 81, 12549, 81, 30549, 96, 683, 291, 442, 1789, 284, 665, 544, 81, 25074, 26, 784, 711, 291, 3097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 6, 5, 5, 6, 6, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 7, 7, 8, 9, 5, 5, 8, 8, 7, 7, 10, 9, 12, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 10, 10, 10, 12, 13, 13, 12, 5, 5, 9, 9, 8, 9, 7, 7, 12, 12, 11, 12, 10, 11, 10, 12, 8, 8, 11, 11, 10, 11, 9, 9, 9, 8, 8, 5, 5, 8, 10, 10, 10, 9, 10, 8, 8, 8, 8, 10, 10, 9, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 9, 8, 8, 9, 8, 8, 10, 10, 8, 9, 8, 8, 10, 10, 8, 10, 10, 9, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 8, 8, 8, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 5, 5, 7, 7, 9, 9, 9, 10, 10, 10, 9, 9, 11, 11, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 12, 14, 14, 11, 11, 10, 10, 11, 13, 13, 7, 7, 9, 9, 11, 13, 12, 13, 11, 11, 12, 14, 13, 15, 15, 11, 11, 13, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 13, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 5, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 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 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 4, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 4, 4, 4, 1, 6, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 15, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 7, 2, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 13, 1, 1, 15, 1, 1, 1, 2, 1, 19, 1, 1, 1, 2, 1, 0, 0, 23, 2, 1, 1, 0, 0, 25, 2, 2, 2, 1, 1, 0, 0, 27, 2, 1, 1, 1, 31, 31, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 5, 5, 5, 5, 5, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 5, 5, 0, 0, 1, 0, 1, 2, 1, 1, 3, 0, 2, 1, 2, 1, 1, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 4, 4, 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 ]
[ 465, 5237, 30, 25679, 30, 2361, 30, 5741, 30, 3488, 203, 589, 34673, 26, 2076, 711, 284, 1459, 3776, 5237, 32, 8228, 30, 3124, 203, 589, 12052, 26, 2067, 711, 284, 298, 21201, 280, 25679, 32, 33278, 26, 9378, 47, 38, 27, 284, 442, 298, 21201, 32, 98, 1643, 26, 2067, 27, 203, 589, 2361, 593, 26, 2067, 711, 284, 12052, 26, 1260, 32, 12474, 26, 2067, 490, 203, 589, 622, 3703, 26, 426, 30, 2935, 47, 2521, 711, 284, 415, 2935, 44, 291, 4082, 280, 5741, 32, 10579, 26, 2544, 474, 17021, 474, 636, 27, 284, 813, 44, 291, 4082, 280, 5741, 32, 10579, 26, 426, 27, 291, 4082, 32, 34318, 26, 7490, 32, 2897, 27, 291, 23818, 280, 5741, 32, 974, 1972, 26, 5983, 32, 371, 81, 751, 81, 761, 1157, 291, 23818, 32, 34318, 26, 7490, 32, 2897, 27, 291, 14971, 280, 5741, 32, 8736, 15339, 26, 302, 27749, 27, 101, 429, 18147, 426, 27, 101, 429, 18147, 2649, 426, 27, 101, 429, 18147, 1436, 27, 101, 683, 291, 23818, 32, 470, 8736, 26, 14548, 27, 291, 4082, 32, 669, 1972, 26, 13410, 27, 284, 442, 4082, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 5, 6, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 3, 6, 5, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 8, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 3, 3, 3, 6, 6, 8, 9, 8, 11, 10, 10, 9, 9, 8, 3, 3, 4, 4, 4, 7, 7, 9, 10, 9, 10, 9, 5, 5, 8, 9, 8, 10, 9, 10, 8, 5, 5, 7, 7, 9, 10, 10, 9, 12, 11, 12, 12, 12, 12, 12, 11, 5, 5, 8, 9, 8, 10, 9, 10, 8, 5, 5, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 9, 8, 9, 8, 5, 5, 8, 9, 9, 8, 9, 8, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 0, 2, 2, 1, 1, 1, 0, 3, 3, 1, 2, 1, 2, 3, 3, 1, 0, 0, 2, 1, 1, 1, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 465, 5237, 203, 3731, 32, 983, 32, 1689, 6824, 98, 1964, 1062, 683, 203, 3731, 32, 983, 32, 1689, 6824, 4882, 683, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 4705, 26, 291, 636, 280, 313, 66, 1964, 1062, 392, 291, 1503, 1057, 34, 32, 34, 32, 35, 370, 291, 4081, 280, 313, 1189, 5724, 2415, 449, 48411, 392, 291, 4081, 81, 1935, 280, 313, 19252, 1299, 32, 9732, 32, 10576, 50, 7253, 32, 508, 392, 291, 7599, 280, 2290, 81, 5043, 1026, 291, 2443, 81, 13966, 6020, 291, 2505, 291, 3414, 81, 3953, 280, 301, 324, 330, 4466, 81, 8121, 950, 77, 400, 330, 98, 1964, 1062, 280, 447, 1964, 1062, 32, 66, 1964, 1062, 44, 1831, 370, 324, 2505, 291, 801, 291, 3048, 280, 313, 5584, 5396, 436, 1346, 2652, 7884, 4414, 291, 1946, 81, 2310, 280, 313, 5584, 5396, 436, 1346, 2652, 7884, 4414, 291, 1984, 280, 313, 641, 555, 933, 32, 508, 33, 3018, 633, 381, 33, 66, 1964, 1062, 32, 2912, 392, 291, 3541, 280, 313, 19743, 392, 291, 17503, 280, 3037, 30045, 392, 313, 2839, 392, 313, 7999, 6642, 1593, 3439, 291, 894, 81, 9089, 280, 313, 20063, 4466, 81, 858, 32, 9089, 392, 284, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 0, 5, 4, 5, 3, 4, 3, 5, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 6, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 8, 8, 8, 5, 5, 7, 7, 6, 7, 7, 5, 5, 7, 7, 6, 6, 7, 7, 10, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 7, 7, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 8, 8, 5, 5, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 5, 5, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 9, 9, 0, 0, 1, 1, 1, 0, 0, 11, 2, 2, 1, 1, 0, 0, 13, 13, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 15, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 19, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 21, 21, 1, 2, 1, 1, 23, 23, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 25, 25, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 49093, 1188, 1509, 203, 465, 5237, 203, 1070, 4354, 71, 38, 72, 32, 4280, 32, 26878, 1188, 22646, 81, 2304, 203, 1070, 4354, 71, 38, 72, 1188, 707, 387, 1449, 81, 3781, 203, 3731, 32, 983, 32, 1689, 19786, 497, 683, 203, 3731, 32, 983, 32, 1689, 36909, 203, 3781, 280, 707, 387, 1449, 81, 3781, 32, 71, 38, 72, 5152, 346, 203, 2304, 280, 22646, 81, 2304, 32, 41590, 2755, 26, 3781, 27, 203, 2304, 32, 11383, 81, 1216, 26, 284, 330, 4225, 451, 370, 284, 22646, 81, 2304, 32, 2897, 27, 203, 2304, 32, 11383, 81, 1216, 26, 284, 330, 8133, 30964, 372, 322, 12742, 3261, 436, 322, 676, 3459, 33, 6768, 2708, 5398, 10420, 370, 284, 22646, 81, 2304, 32, 2897, 27, 203, 2304, 32, 11383, 81, 1216, 26, 284, 330, 8133, 372, 22646, 645, 358, 5891, 31, 69, 5941, 299, 2202, 372, 12433, 5941, 299, 2202, 32, 262, 10420, 370, 284, 22646, 81, 2304, 32, 2897, 27, 203, 2304, 32, 11383, 81, 1216, 26, 284, 330, 8133, 1348, 438, 14381, 415, 844, 47541, 1471, 10912, 12742, 372, 264, 10420, 370, 284, 22646, 81, 2304, 32, 2897, 27, 203, 2304, 32, 11383, 81, 1216, 26, 284, 330, 8133, 5169, 645, 1591, 7596, 1541, 372, 4674, 32, 7693, 10420, 370, 284, 22646, 81, 2304, 32, 2897, 27, 203, 2304, 32, 11383, 81, 1216, 26, 284, 330, 4225, 451, 370, 284, 22646, 81, 2304, 32, 2897, 27, 203, 2304, 32, 11383, 81, 1216, 463, 1648, 438, 904, 101, 370, 22646, 81, 2304, 32, 2897, 30, 22646, 81, 2304, 32, 4530, 27, 203, 3965, 299, 81, 1071, 81, 668, 280, 4567, 32, 30431, 32, 371, 81, 3965, 299, 81, 1071, 81, 668, 346, 203, 297, 81, 43346, 280, 3177, 203, 1347, 81, 1141, 280, 2933, 203, 325, 2069, 26, 3731, 32, 6118, 27, 610, 225, 36, 44, 284, 415, 5237, 32, 6118, 77, 35, 79, 610, 330, 43346, 950, 291, 438, 81, 43346, 280, 2933, 284, 813, 44, 291, 8745, 32, 11383, 81, 1216, 15339, 101, 438, 646, 312, 2080, 2793, 6418, 3775, 22646, 81, 2304, 32, 2897, 30, 5237, 32, 6118, 77, 35, 1130, 291, 5237, 32, 4775, 346, 203, 589, 25462, 81, 1732, 26, 3965, 299, 81, 1071, 81, 426, 711, 284, 415, 8745, 32, 1553, 81, 3965, 299, 81, 1071, 81, 979, 81, 16655, 26, 324, 5941, 299, 81, 1071, 81, 426, 30, 2933, 711, 291, 8745, 32, 11383, 81, 1216, 26, 324, 330, 11356, 32706, 1392, 32757, 2756, 904, 101, 370, 324, 22646, 81, 2304, 32, 2897, 30, 5941, 299, 81, 1071, 81, 426, 27, 291, 5941, 299, 81, 1071, 81, 3958, 280, 308, 324, 8745, 32, 371, 81, 7594, 81, 1070, 81, 3965, 299, 81, 1071, 26, 3965, 299, 81, 1071, 81, 426, 490, 291, 2838, 81, 4219, 81, 1363, 81, 668, 280, 308, 324, 4567, 32, 30431, 32, 371, 81, 2661, 81, 4219, 81, 6332, 81, 1070, 81, 2544, 26, 400, 5941, 299, 81, 1071, 81, 3958, 710, 4219, 1363, 7698, 291, 1994, 81, 3958, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 5, 4, 5, 3, 4, 3, 5, 5, 0, 5, 4, 5, 3, 4, 3, 0, 3, 2, 2, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 0, 3, 2, 2, 5, 5, 4, 5, 5, 4, 5, 4, 0, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 3, 3, 5, 5, 4, 5, 3, 0, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 4, 5, 3, 0, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 4, 5, 3, 0, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 4, 5, 3, 0, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 4, 5, 3, 0, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 3, 3, 5, 5, 4, 5, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 5, 5, 4, 5, 3, 3, 5, 5, 4, 5, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 1, 1, 4, 6, 5, 6, 4, 2, 2, 3, 1, 1, 1, 3, 6, 7, 5, 6, 5, 4, 4, 6, 6, 3, 3, 7, 7, 6, 6, 3, 3, 4, 4, 4, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 9, 10, 8, 8, 10, 11, 9, 10, 9, 5, 5, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 3, 3, 7, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 9, 7, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 9, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 10, 12, 12, 12, 4, 4, 8, 8, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 19, 1, 0, 1, 2, 1, 1, 1, 2, 19, 19, 19, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 2, 5, 2, 5, 2, 2, 0, 2, 1, 0, 20, 20, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 20, 20, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 5, 5, 5, 5, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 15390, 605, 203, 465, 9667, 619, 316, 203, 1070, 35874, 267, 32, 2304, 1188, 372, 81, 9941, 203, 1070, 35874, 267, 32, 9569, 32, 9777, 1188, 20305, 11789, 81, 3459, 81, 39723, 203, 899, 280, 316, 32, 6993, 203, 613, 81, 17945, 280, 7631, 9442, 69, 23110, 69, 683, 203, 613, 81, 16477, 4294, 81, 34884, 280, 7631, 463, 4987, 12390, 1018, 13644, 86, 8274, 36, 30, 37, 111, 1018, 23948, 4972, 109, 30, 37, 37613, 1511, 36, 30, 15837, 203, 613, 81, 2413, 280, 7631, 26, 100, 9592, 641, 49, 555, 110, 1499, 8169, 13644, 69, 6155, 8169, 13644, 69, 79, 2699, 683, 203, 613, 81, 22036, 280, 7631, 463, 80, 13644, 101, 6603, 1559, 28, 13644, 101, 6603, 22, 683, 203, 613, 81, 33591, 81, 45852, 280, 7631, 39109, 80, 13644, 101, 6603, 2009, 34254, 28094, 21, 10182, 3370, 79, 10182, 78, 80, 79, 10183, 10182, 78, 112, 79, 10182, 78, 24, 79, 10182, 39779, 28094, 81, 10182, 78, 31403, 19994, 5556, 13198, 5272, 79, 10182, 78, 33099, 10182, 78, 10056, 10182, 78, 47, 31489, 35, 34, 30, 12893, 78, 101, 6603, 22, 2847, 203, 613, 81, 36108, 81, 37602, 280, 7631, 39109, 26, 70, 110, 102, 27, 90, 1369, 25724, 8666, 52, 110, 84, 27, 445, 8666, 68, 110, 100, 27, 4192, 8805, 19994, 656, 25366, 5914, 77, 1481, 109, 35, 111, 1070, 77, 1481, 109, 35, 111, 1772, 13644, 101, 30, 14351, 105, 6603, 22, 110, 4758, 8666, 69, 110, 101, 27, 3563, 265, 3128, 19994, 656, 15584, 53, 110, 85, 27, 271, 11559, 110, 1564, 2847, 203, 613, 81, 2474, 280, 7631, 14969, 51, 31, 76, 1674, 83, 31, 108, 6155, 78, 101, 78, 101, 48113, 51, 31, 76, 1674, 8169, 79, 21194, 101, 78, 101, 48113, 51, 31, 76, 1674, 83, 31, 108, 6155, 683, 203, 8606, 81, 4468, 81, 7383, 280, 7631, 9442, 12143, 3370, 10182, 78, 86, 26392, 203, 13727, 81, 19602, 527, 81, 8356, 280, 428, 284, 330, 45724, 370, 330, 7253, 370, 330, 40982, 370, 330, 2200, 370, 330, 23643, 370, 330, 2200, 14474, 370, 330, 2200, 14474, 16609, 370, 284, 330, 2763, 370, 284, 330, 508, 370, 330, 1088, 370, 330, 1299, 370, 330, 2947, 370, 284, 330, 16956, 25, 284, 1481, 203, 589, 5298, 81, 7920, 81, 1903, 26, 15446, 711, 284, 5881, 6970, 312, 667, 688, 3217, 225, 35, 556, 225, 34, 14714, 544, 9667, 3233, 1056, 32, 284, 1670, 10605, 6101, 13831, 1991, 23161, 438, 5024, 328, 312, 802, 284, 322, 1056, 432, 8276, 322, 4717, 667, 623, 322, 802, 1098, 526, 225, 35, 284, 461, 225, 34, 5878, 32, 284, 8217, 1188, 9667, 619, 316, 284, 8217, 5298, 81, 7920, 81, 1903, 26, 268, 32, 6993, 440, 35, 36, 2131, 440, 35, 36, 657, 275, 35, 284, 8217, 5298, 81, 7920, 81, 1903, 26, 268, 32, 6993, 440, 35, 36, 2131, 440, 37, 38, 657, 275, 34, 284, 5881, 284, 442, 9254, 309, 44, 225, 35, 415, 23161, 32, 1903, 26, 101, 27, 813, 225, 34, 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, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 2, 2, 3, 4, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 3, 3, 3, 3, 3, 2, 2, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 3, 3, 3, 2, 2, 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, 0, 3, 3, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 4, 6, 5, 5, 7, 8, 7, 8, 7, 5, 5, 6, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 15, 15, 1, 1, 1, 1, 2, 1, 2, 15, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 0, 2, 1, 1, 1, 3, 3, 4, 0 ]
[ 465, 3383, 2825, 203, 465, 2322, 32, 983, 203, 823, 1505, 81, 496, 81, 3560, 81, 5114, 4833, 2262, 284, 35195, 264, 280, 330, 1240, 8258, 22768, 4833, 25, 284, 390, 17847, 5645, 280, 330, 2324, 25, 284, 11406, 262, 280, 330, 5983, 81, 761, 25, 284, 4428, 263, 280, 1665, 284, 9541, 280, 3177, 284, 7116, 264, 280, 3177, 284, 1056, 225, 280, 2149, 284, 1123, 496, 280, 1665, 284, 665, 745, 81, 1553, 26, 784, 30, 3488, 81, 761, 711, 291, 3488, 280, 3383, 2825, 32, 46487, 346, 291, 2385, 263, 280, 225, 34, 291, 1596, 44, 324, 3488, 32, 850, 26, 5983, 81, 761, 27, 291, 2940, 3383, 2825, 32, 23726, 924, 619, 484, 44, 324, 415, 630, 32, 10529, 44, 400, 1459, 463, 24935, 8696, 11708, 3878, 3491, 96, 25, 474, 596, 26, 87, 490, 291, 1596, 44, 324, 1048, 81, 751, 81, 761, 280, 3488, 32, 371, 463, 7534, 86, 370, 330, 751, 81, 731, 11968, 34, 79, 324, 415, 2322, 32, 983, 32, 29712, 26, 466, 26, 731, 81, 751, 81, 761, 8531, 400, 623, 2156, 26, 466, 26, 731, 81, 751, 81, 761, 471, 330, 100, 683, 619, 1245, 44, 528, 436, 1628, 328, 1245, 44, 715, 415, 313, 2791, 25725, 436, 1256, 6113, 474, 630, 32, 725, 496, 474, 37638, 328, 1628, 44, 1014, 2385, 1454, 225, 35, 400, 415, 225, 34, 610, 2385, 44, 528, 630, 32, 1267, 710, 2649, 785, 225, 280, 330, 23964, 25, 528, 630, 32, 1267, 710, 2024, 785, 280, 330, 2023, 2857, 25725, 5216, 2431, 436, 1256, 4564, 400, 4348, 2385, 333, 225, 39, 44, 528, 630, 32, 1267, 710, 2649, 785, 225, 280, 330, 38041, 25, 528, 630, 32, 1267, 710, 2024, 785, 280, 330, 2791, 25725, 5216, 2431, 436, 1256, 4564, 400, 813, 44, 528, 630, 32, 1267, 710, 2649, 785, 225, 280, 330, 7097, 25, 528, 630, 32, 1267, 710, 2024, 785, 280, 330, 571, 670, 661, 2857, 25725, 5216, 2431, 436, 1256, 4564, 324, 813, 44, 400, 630, 32, 1267, 710, 2649, 785, 225, 280, 330, 38041, 25, 400, 630, 32, 1267, 710, 2024, 785, 280, 330, 9752, 646, 2857, 1048, 1245, 803, 330, 474, 596, 26, 731, 81, 751, 81, 761, 27, 474, 18491, 291, 2940, 3383, 2825, 32, 2023, 2828, 924, 619, 484, 44, 324, 630, 32, 1267, 710, 2649, 785, 225, 280, 330, 7097, 25, 324, 630, 32, 1267, 710, 2024, 785, 280, 330, 924, 1245, 803, 646, 5887, 4564, 291, 442, 630, 32, 1267, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 711, 291, 1459, 463, 18905, 299, 1505, 44, 330, 474, 630, 32, 13777, 27, 291, 630, 32, 10529, 280, 2935, 32, 10529, 291, 415, 4247, 863, 2935, 32, 725, 496, 44, 324, 630, 32, 725, 496, 280, 2935, 32, 725, 496, 291, 813, 44, 324, 630, 32, 5961, 2407, 280, 2933, 324, 630, 32, 1267, 710, 2649, 785, 225, 280, 330, 32007, 25, 324, 630, 32, 1267, 710, 2024, 785, 280, 330, 2023, 3022, 1256, 739, 30, 1505, 20434, 4564, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 8, 9, 8, 4, 4, 6, 6, 6, 7, 4, 4, 5, 5, 5, 9, 10, 9, 10, 10, 10, 9, 5, 5, 6, 9, 8, 9, 9, 7, 7, 6, 6, 6, 8, 9, 10, 8, 8, 8, 12, 15, 15, 15, 15, 15, 16, 15, 13, 13, 15, 16, 15, 4, 4, 5, 5, 5, 9, 9, 9, 9, 8, 8, 11, 12, 11, 13, 13, 13, 11, 13, 13, 13, 13, 10, 9, 6, 6, 7, 10, 11, 9, 10, 9, 11, 11, 12, 12, 12, 12, 12, 11, 7, 7, 9, 14, 16, 16, 17, 17, 17, 17, 17, 16, 14, 16, 16, 12, 12, 9, 9, 9, 11, 11, 11, 11, 11, 11, 13, 18, 18, 18, 18, 18, 16, 16, 17, 18, 18, 15, 15, 14, 14, 13, 13, 13, 16, 16, 17, 8, 8, 9, 11, 10, 10, 9, 9, 9, 14, 15, 13, 15, 15, 12, 12, 12, 14, 14, 10, 10, 14, 15, 13, 15, 15, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 9, 9, 10, 11, 11, 12, 10, 10, 10, 15, 16, 14, 16, 16, 13, 13, 13, 15, 15, 11, 11, 15, 16, 14, 16, 16, 13, 13, 15, 15, 15, 15, 15, 15, 15, 9, 9, 10, 10, 10, 15, 16, 14, 16, 16, 13, 13, 13, 15, 15, 11, 11, 15, 16, 14, 16, 16, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 7, 7, 8, 8, 8, 13, 14, 12, 14, 14, 11, 11, 11, 13, 13, 9, 9, 13, 14, 12, 14, 14, 11, 11, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 16, 16, 16, 16, 16, 15, 12, 12, 5, 5, 6, 9, 8, 9, 9, 9, 7, 7, 6, 6, 6, 11, 12, 10, 12, 12, 9, 9, 9, 11, 11, 7, 7, 11, 12, 10, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 5, 6, 6, 7, 8, 8, 5, 5, 5, 9, 10, 10, 8, 8, 9, 10, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 9, 7, 7, 11, 12, 10, 12, 12, 9, 9, 9, 11, 11, 7, 7, 11, 12, 10, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 8, 1, 1, 2, 1, 2, 2, 3, 3, 2, 8, 8, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 4, 4, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 3, 0, 0, 2, 2, 1, 1, 3, 3, 3, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 3, 3, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 3, 3, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 2, 4, 4, 4, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 3, 3, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 0, 0, 2, 2, 2, 1, 1, 3, 3, 3, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 3, 3, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 2, 4, 4, 9, 1, 1, 1, 2, 2, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 109, 284, 313, 66, 35, 563, 301, 291, 313, 6057, 563, 33299, 12344, 392, 15938, 7262, 32, 18440, 70, 2319, 81, 5203, 471, 528, 2884, 12344, 81, 13338, 392, 15938, 7262, 32, 18440, 70, 2319, 81, 5203, 471, 528, 2884, 779, 392, 15938, 7262, 32, 18440, 70, 2319, 81, 13773, 471, 528, 2884, 44406, 392, 15938, 7262, 32, 18440, 70, 2319, 81, 10301, 3662, 291, 313, 32417, 563, 23296, 291, 313, 18713, 563, 2884, 779, 657, 291, 801, 284, 313, 68, 35, 563, 301, 291, 313, 6057, 563, 33299, 12344, 392, 15938, 7262, 32, 18440, 70, 2319, 81, 5203, 471, 528, 2884, 12344, 81, 13338, 392, 15938, 7262, 32, 18440, 70, 2319, 81, 5203, 471, 528, 2884, 779, 392, 15938, 7262, 32, 18440, 70, 2319, 81, 13773, 471, 528, 2884, 44406, 392, 15938, 7262, 32, 18440, 70, 2319, 81, 10301, 3662, 291, 313, 32417, 563, 23296, 291, 313, 18713, 563, 2884, 779, 657, 291, 320, 284, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 2, 2, 2, 5, 5, 5, 3, 4, 4, 7, 7, 5, 9, 9, 7, 9, 8, 9, 9, 9, 9, 9, 7, 6, 6, 9, 9, 9, 9, 7, 9, 8, 9, 9, 9, 9, 9, 7, 6, 6, 9, 9, 7, 9, 8, 9, 9, 9, 9, 9, 7, 6, 6, 9, 9, 7, 9, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 7, 5, 4, 4, 7, 7, 5, 8, 8, 4, 4, 2, 2, 5, 5, 5, 3, 4, 4, 7, 7, 5, 9, 9, 7, 9, 8, 9, 9, 9, 9, 9, 7, 6, 6, 9, 9, 9, 9, 7, 9, 8, 9, 9, 9, 9, 9, 7, 6, 6, 9, 9, 7, 9, 8, 9, 9, 9, 9, 9, 7, 6, 6, 9, 9, 7, 9, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 7, 5, 4, 4, 7, 7, 5, 8, 8, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 3, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 5, 0, 3, 2, 2, 2, 2, 2, 5, 2, 2, 1, 2, 7, 0, 3, 2, 2, 2, 2, 2, 7, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 1, 2, 2, 2, 0, 0, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 0, 3, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 5, 0, 3, 2, 2, 2, 2, 2, 5, 2, 2, 1, 2, 7, 0, 3, 2, 2, 2, 2, 2, 7, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 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 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2322, 203, 9081, 280, 428, 284, 330, 26275, 32, 407, 32, 4846, 431, 542, 370, 284, 330, 26275, 32, 407, 32, 33435, 378, 1059, 370, 284, 330, 26275, 32, 407, 32, 14550, 370, 284, 330, 26275, 32, 407, 32, 1409, 28998, 370, 284, 330, 26275, 32, 407, 32, 407, 7676, 370, 284, 330, 26275, 32, 407, 32, 325, 1163, 370, 284, 330, 26275, 32, 407, 32, 3403, 2634, 267, 370, 284, 330, 26275, 32, 407, 32, 10425, 370, 284, 330, 26275, 32, 407, 32, 1071, 687, 370, 203, 79, 203, 325, 2322, 32, 23407, 463, 8895, 3199, 6229, 7831, 284, 11581, 1454, 330, 26275, 12023, 32, 19225, 299, 370, 284, 15037, 299, 81, 2245, 81, 40552, 280, 2933, 284, 15037, 299, 81, 1581, 280, 330, 272, 81, 2045, 25, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 2250, 280, 330, 11025, 31, 5565, 31, 4738, 31, 15199, 25, 203, 4548, 280, 330, 36, 34, 35, 41, 25, 203, 2116, 280, 330, 24511, 1309, 506, 1882, 16229, 14885, 25, 203, 11794, 280, 8930, 34, 835, 301, 35, 16805, 1643, 26, 4548, 30, 4081, 27, 203, 1648, 280, 3621, 280, 330, 34, 32, 35, 32, 34, 25, 203, 978, 32725, 81, 1621, 280, 330, 37132, 25, 203, 8881, 81, 983, 280, 2107, 32, 785, 203, 407, 7676, 280, 301, 284, 330, 7092, 950, 2726, 641, 555, 933, 32, 508, 33, 4918, 1882, 16229, 14885, 33, 11025, 31, 5565, 31, 4738, 31, 15199, 33, 4476, 9708, 101, 370, 5307, 1425, 284, 330, 777, 950, 2726, 641, 555, 933, 32, 508, 33, 4918, 1882, 16229, 14885, 33, 11025, 31, 5565, 31, 4738, 31, 15199, 33, 3978, 9708, 101, 370, 330, 2978, 588, 1425, 203, 111, 203, 465, 309, 27392, 81, 978, 37, 1427, 81, 272, 19975, 81, 4661, 203, 916, 81, 4661, 280, 313, 26275, 81, 978, 37, 1427, 81, 272, 19975, 81, 4661, 20, 203, 916, 81, 4661, 81, 983, 280, 428, 26275, 81, 978, 37, 1427, 81, 272, 19975, 81, 4661, 32, 371, 81, 916, 81, 4661, 81, 983, 7662, 203, 916, 81, 4661, 81, 2184, 280, 301, 284, 330, 933, 965, 950, 330, 641, 555, 933, 32, 508, 33, 4918, 1882, 16229, 14885, 33, 11025, 31, 5565, 31, 4738, 31, 15199, 7404, 203, 111, 203, 916, 81, 539, 81, 11383, 2983, 2376, 280, 2933, 203, 916, 81, 2135, 81, 6368, 81, 3972, 280, 6611, 84, 904, 86, 30, 904, 75, 25, 203, 916, 81, 2998, 81, 1055, 280, 3177, 203, 916, 81, 8937, 101, 280, 301, 664, 330, 326, 950, 2107, 1903, 1501, 32, 916, 370, 330, 3264, 12467, 32, 916, 370, 330, 101, 515, 3308, 764, 32, 916, 2188, 203, 111, 203, 916, 81, 4021, 81, 1311, 280, 6611, 101, 9299, 101, 25, 904, 308, 2250, 30, 1503, 27, 203, 3403, 2634, 267, 81, 539, 81, 31635, 280, 2933, 203, 3403, 2634, 267, 81, 539, 81, 18398, 280, 3177, 203, 3403, 2634, 267, 81, 539, 81, 753, 280, 3177, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 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, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 3, 4, 3, 5, 5, 5, 5, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 6, 6, 6, 6, 6, 4, 5, 4, 5, 4, 5, 4, 0, 3, 2, 4, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 4, 4, 4, 0, 3, 3, 3, 2, 5, 5, 3, 0, 3, 3, 2, 3, 3, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 3, 3, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 3, 3, 3, 0, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 3, 0, 3, 3, 3, 3, 3, 2, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 3, 0, 3, 3, 3, 3, 2, 3, 3, 6, 6, 4, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 5, 5, 5, 5, 5, 3, 4, 5, 4, 5, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 3, 3, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 1, 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, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 14, 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, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 100, 2993, 203, 2272, 1340, 1597, 4723, 810, 203, 78, 517, 617, 264, 617, 225, 617, 110, 261, 617, 225, 617, 203, 523, 47680, 5272, 21965, 2176, 110, 5272, 110, 523, 7009, 81, 225, 354, 35, 32, 34, 32, 34, 397, 517, 958, 517, 203, 2993, 203, 1070, 8206, 24540, 32, 1439, 1188, 2078, 203, 1070, 8206, 24540, 32, 1439, 32, 2386, 81, 1819, 1188, 11617, 1222, 203, 1070, 8206, 24540, 32, 1439, 32, 2386, 81, 3142, 1188, 11617, 2291, 203, 1070, 8206, 24540, 32, 1439, 32, 668, 81, 3142, 1188, 1682, 2291, 203, 1070, 8206, 24540, 32, 1439, 32, 1637, 1188, 6012, 203, 1070, 8206, 24540, 32, 4738, 32, 5894, 32, 104, 35, 32, 30809, 299, 81, 11893, 32, 7035, 32, 4363, 24475, 81, 10097, 81, 4254, 1188, 13326, 24475, 11506, 5419, 720, 203, 823, 25243, 720, 26, 720, 2291, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1503, 711, 291, 2599, 26, 10914, 720, 30, 630, 14585, 1664, 3207, 1648, 27, 291, 630, 1114, 10957, 280, 2149, 291, 630, 1114, 3423, 280, 3056, 29189, 299, 10966, 33, 44560, 2473, 1643, 14605, 784, 1114, 10957, 27, 284, 665, 3443, 26, 784, 30, 26457, 81, 687, 47, 2810, 32, 16811, 30, 22763, 304, 47, 2810, 32, 16811, 30, 3083, 10769, 81, 687, 47, 2810, 32, 16811, 30, 7461, 81, 24475, 81, 14951, 81, 6565, 47, 2810, 32, 16811, 30, 3083, 3857, 81, 24475, 81, 10097, 81, 14951, 81, 6565, 47, 2810, 32, 16811, 30, 3083, 3857, 81, 24475, 81, 14598, 487, 32927, 81, 14951, 81, 6565, 47, 2810, 32, 16811, 30, 2723, 47, 2521, 30, 3083, 1938, 81, 891, 47, 2521, 711, 291, 17740, 280, 630, 1114, 1648, 32, 850, 81, 13495, 26, 3248, 30, 1938, 81, 891, 27, 291, 1938, 280, 630, 32, 1637, 26, 324, 26457, 81, 687, 47, 9328, 81, 687, 30, 324, 22763, 304, 47, 666, 33309, 30, 324, 10769, 81, 687, 47, 7035, 81, 687, 30, 324, 7461, 81, 24475, 81, 14951, 81, 6565, 47, 741, 81, 24475, 81, 14951, 81, 6565, 30, 324, 3857, 81, 24475, 81, 10097, 81, 14951, 81, 6565, 47, 4363, 81, 24475, 81, 10097, 81, 14951, 81, 6565, 30, 324, 3857, 81, 24475, 81, 14598, 487, 32927, 81, 14951, 81, 6565, 47, 4363, 81, 24475, 81, 14598, 487, 32927, 81, 14951, 81, 6565, 30, 324, 1938, 81, 891, 47, 13495, 710, 1637, 81, 891, 2188, 291, 829, 291, 442, 630, 1114, 1648, 32, 2238, 26, 1637, 30, 17740, 710, 3248, 3490, 284, 665, 1149, 26, 784, 30, 26457, 81, 687, 47, 2810, 32, 16811, 30, 22763, 304, 47, 2810, 32, 16811, 30, 1802, 10769, 81, 687, 47, 2810, 32, 16811, 30, 7461, 81, 24475, 81, 14951, 81, 6565, 47, 2810, 32, 16811, 30, 1802, 3857, 81, 24475, 81, 10097, 81, 14951, 81, 6565, 47, 2810, 32, 16811, 30, 1802, 3857, 81, 24475, 81, 14598, 487, 32927, 81, 14951, 81, 6565, 47, 2810, 32, 16811, 30, 2723, 47, 2521, 30, 1802, 1938, 81, 891, 47, 2521, 711, 291, 442, 1149, 26, 784, 32, 2238, 26, 324, 26457, 81, 687, 47, 9328, 81, 687 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 10, 10, 10, 10, 10, 10, 9, 8, 11, 10, 11, 8, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 7, 6, 7, 4, 4, 6, 5, 7, 6, 7, 4, 4, 4, 6, 6, 5, 7, 6, 7, 4, 4, 6, 6, 6, 6, 6, 6, 5, 7, 6, 7, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 6, 7, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 6, 7, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 9, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 11, 10, 12, 12, 12, 12, 8, 8, 4, 4, 5, 8, 9, 7, 8, 7, 8, 7, 7, 8, 10, 10, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 7, 6, 7, 4, 4, 6, 5, 7, 6, 7, 4, 4, 4, 6, 6, 5, 7, 6, 7, 4, 4, 6, 6, 6, 6, 6, 6, 5, 7, 6, 7, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 6, 7, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 6, 7, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 10, 9, 10, 9, 9, 9, 11, 11, 10, 11, 11, 11 ]
[ 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 1, 6, 6, 1, 8, 8, 8, 8, 1, 10, 1, 12, 12, 12, 12, 12, 12, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 2, 0, 0, 3, 0, 2, 2, 2, 2, 0, 5, 0, 2, 2, 2, 2, 2, 0, 0, 7, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 9, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 2, 2, 2, 2, 15, 2, 2, 2, 2, 0, 0, 17, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 3, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 7, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 13, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 2, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 2, 4, 4, 2, 2, 1, 2, 2, 0, 0, 3, 0, 2, 2, 2, 2, 0, 5, 0, 2, 2, 2, 2, 2, 0, 0, 7, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 9, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 2, 2, 2, 2, 15, 2, 2, 2, 2, 0, 0, 17, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2 ]
[ 465, 6677, 36, 203, 465, 6830, 1658, 4014, 1031, 619, 296, 203, 7199, 280, 225, 40, 34, 203, 1744, 280, 225, 36, 40, 203, 2811, 613, 779, 280, 225, 35, 203, 1275, 280, 296, 32, 944, 1658, 4014, 1031, 26, 7199, 30, 3118, 30, 4588, 613, 779, 47, 34, 30, 4588, 14229, 47, 35, 30, 30354, 10402, 47, 36, 34, 27, 203, 4126, 36, 32, 9281, 1669, 440, 35, 392, 6677, 36, 32, 18362, 81, 15644, 27, 203, 4126, 36, 32, 8510, 1669, 440, 35, 392, 225, 36, 39, 40, 34, 517, 225, 38, 30, 225, 35, 40, 34, 34, 517, 225, 38, 27, 203, 4126, 36, 32, 23026, 440, 35, 392, 4791, 27, 203, 4126, 36, 32, 1684, 953, 26, 34, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 4, 2, 2, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 4, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 6, 4, 0, 4, 4, 3, 4, 4, 3, 5, 5, 3, 5, 4, 5, 5, 5, 3, 0, 4, 4, 3, 4, 4, 3, 5, 5, 3, 5, 5, 5, 5, 4, 4, 5, 3, 3, 5, 5, 5, 5, 4, 4, 5, 3, 0, 4, 4, 3, 4, 3, 5, 5, 3, 3, 0, 4, 4, 3, 4, 4, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 1, 1, 0, 7, 2, 1, 1, 0, 9, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 3, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 3, 3, 2, 1, 1, 0, 0, 0, 0, 5, 5, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 465, 3619, 10185, 30, 5237, 30, 316, 30, 11259, 203, 1070, 2340, 1040, 1188, 4118, 203, 1270, 44, 284, 1188, 4281, 1260, 203, 7343, 29986, 44, 284, 1188, 2361, 619, 4281, 1260, 203, 823, 34163, 2262, 284, 5881, 291, 17279, 4946, 322, 5403, 328, 786, 438, 11870, 6364, 5878, 1098, 442, 1665, 291, 1098, 442, 1665, 544, 322, 2412, 2078, 44, 324, 1665, 324, 4247, 324, 330, 1693, 25, 324, 330, 6376, 25, 324, 2149, 284, 5881, 284, 477, 16099, 284, 665, 909, 26, 695, 711, 291, 415, 909, 610, 1665, 499, 324, 442, 1665, 291, 415, 909, 610, 330, 1693, 25, 499, 324, 442, 1665, 291, 415, 909, 610, 330, 6376, 25, 499, 324, 442, 1665, 291, 415, 909, 610, 225, 34, 499, 324, 442, 909, 291, 415, 6937, 26, 695, 30, 1695, 800, 27, 461, 2069, 26, 695, 27, 610, 225, 34, 499, 324, 442, 1665, 291, 415, 6937, 26, 695, 30, 5436, 27, 461, 2069, 26, 695, 27, 610, 225, 34, 499, 324, 442, 1665, 291, 442, 909, 284, 477, 16099, 284, 665, 596, 26, 695, 711, 291, 415, 646, 909, 44, 324, 442, 4247, 291, 442, 596, 26, 695, 27, 284, 5881, 291, 17279, 436, 10297, 10022, 432, 861, 32, 291, 8001, 544, 2933, 30, 330, 1508, 370, 330, 267, 25, 284, 5881, 284, 477, 16099, 284, 665, 438, 81, 1508, 26, 695, 711, 20216, 415, 646, 909, 499, 324, 442, 3177, 291, 415, 6937, 26, 695, 30, 1695, 800, 27, 499, 324, 415, 909, 610, 330, 1815, 25, 556, 909, 610, 330, 1508, 25, 556, 909, 610, 330, 267, 25, 499, 400, 442, 2933, 324, 442, 3177, 291, 415, 909, 610, 2933, 499, 1802, 442, 2933, 291, 442, 3177, 284, 477, 16099, 284, 665, 16469, 81, 916, 26, 605, 711, 291, 415, 646, 706, 499, 324, 442, 291, 298, 280, 316, 32, 6993, 26, 100, 20879, 12456, 46, 6603, 49, 33, 4284, 683, 291, 442, 298, 32, 1113, 22869, 706, 27, 284, 477, 16099, 284, 665, 1946, 81, 5561, 26, 2632, 81, 466, 30, 10185, 347, 29521, 33, 1812, 81, 75, 702, 10280, 291, 8186, 85, 81, 2632, 280, 34163, 1114, 5954, 81, 16700, 81, 452, 81, 1696, 26, 2632, 81, 466, 30, 10185, 27, 291, 415, 8186, 85, 81, 2632, 44, 324, 442, 8186, 85, 81, 2632, 32, 20834, 4912, 51, 30, 904, 86, 32, 904, 52, 904, 75, 904, 59, 6069, 63, 23, 98, 657, 291, 813, 44, 324, 442, 8793, 81, 466, 284, 477, 16099, 284, 665, 4504, 81, 5561, 26, 2632, 81, 466, 30, 10185, 347, 29521, 33, 1812, 81, 75, 702, 10280, 291, 25932, 81, 2632, 280, 34163, 1114, 5954, 81, 16700, 81, 452, 81, 1696, 26, 2632, 81, 466, 30, 10185, 27, 291, 442, 25932, 81, 2632, 32, 20834, 4912, 95, 9708, 86, 9708, 75, 904, 59, 6069, 63, 657, 284, 477, 16099, 284, 665, 4504, 81, 770, 26, 2632, 81, 466, 30, 10185, 347, 29521, 33, 1812, 81, 75, 702, 10280, 291, 25932, 81, 2632, 280, 34163, 1114, 5954, 81, 16700, 81, 452, 81, 1696 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 4, 5, 5, 6, 0, 1, 1, 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, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 7, 6, 6, 6, 8, 5, 5, 6, 7, 7, 9, 9, 6, 6, 6, 8, 5, 5, 6, 7, 7, 9, 9, 6, 6, 6, 8, 5, 5, 6, 7, 7, 8, 6, 6, 6, 8, 5, 5, 6, 9, 10, 9, 9, 10, 9, 7, 7, 10, 11, 10, 8, 8, 9, 6, 6, 6, 8, 5, 5, 6, 9, 10, 9, 9, 9, 7, 7, 10, 11, 10, 8, 8, 9, 6, 6, 6, 8, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 6, 6, 6, 8, 5, 5, 6, 8, 9, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 6, 6, 6, 8, 5, 5, 6, 8, 9, 8, 8, 9, 8, 6, 6, 6, 8, 11, 11, 13, 13, 10, 10, 11, 11, 13, 13, 9, 9, 10, 10, 12, 12, 8, 8, 8, 10, 7, 7, 8, 5, 5, 6, 7, 7, 6, 6, 6, 8, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 6, 6, 6, 5, 5, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 8, 9, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 6, 6, 5, 7, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 5, 5, 6, 7, 7, 7, 6, 6, 6, 8, 11, 11, 11, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 7, 7, 9, 10, 10, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 6, 6, 5, 7, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 5, 5, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 6, 6, 5, 7, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 0, 4, 4, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 0, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 4, 4, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 0, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 5, 0, 4, 4, 6, 4, 4, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 3, 3, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 4, 4, 3, 4, 4, 1, 5, 5, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 1, 1, 1, 4, 4, 1, 6, 6, 1, 1, 1, 2, 1, 1, 1, 2, 0, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 1, 1, 4, 4, 1, 7, 7, 1, 1, 1, 2, 1, 1, 1, 2, 0, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 8, 8, 1, 1, 1, 2, 1, 1, 1, 2, 0, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2 ]
[ 505, 2116, 505, 280, 330, 2496, 3522, 17638, 25, 261, 203, 465, 12643, 203, 1270, 44, 284, 1188, 2063, 363, 94, 619, 5599, 363, 94, 203, 7343, 44, 284, 1188, 5599, 363, 94, 203, 1070, 1351, 491, 107, 1188, 16079, 30, 11647, 203, 1270, 44, 284, 645, 1351, 491, 107, 32, 5836, 16311, 1188, 16079, 23989, 284, 18338, 280, 16079, 23989, 346, 284, 2063, 363, 94, 81, 1237, 81, 678, 280, 18338, 32, 448, 363, 94, 81, 1237, 81, 678, 203, 7343, 44, 284, 2063, 363, 94, 81, 1237, 81, 678, 280, 313, 106, 20, 203, 1945, 81, 2763, 280, 225, 34, 203, 325, 1420, 81, 2763, 610, 225, 35, 556, 1420, 81, 2763, 610, 225, 34, 44, 284, 5018, 280, 5599, 363, 94, 32, 371, 14141, 56, 7097, 33, 51, 35, 43, 35, 2785, 35, 67, 36, 36, 39, 69, 4657, 51, 392, 313, 56, 7097, 33, 51, 35, 43, 35, 5735, 35, 67, 34, 36, 41, 69, 4657, 51, 3439, 7120, 384, 97, 915, 47, 448, 363, 94, 81, 1237, 81, 678, 27, 284, 5018, 32, 6057, 280, 3037, 6877, 1910, 97, 67, 392, 313, 37359, 1910, 97, 67, 1446, 284, 1418, 280, 11647, 26, 1311, 347, 2045, 570, 8146, 392, 1914, 347, 1238, 363, 94, 33, 56, 1092, 392, 1361, 17110, 47, 1815, 27, 284, 7565, 280, 16079, 26, 1479, 47, 1479, 30, 7565, 81, 681, 1057, 928, 370, 1418, 47, 1621, 27, 284, 7565, 32, 3399, 26, 3483, 1057, 24411, 683, 284, 7565, 32, 3399, 26, 3483, 1057, 713, 34669, 683, 284, 7565, 32, 3399, 26, 3483, 1057, 3399, 631, 683, 203, 325, 1420, 81, 2763, 610, 225, 36, 556, 1420, 81, 2763, 610, 225, 34, 44, 284, 5018, 280, 5599, 363, 94, 32, 371, 14141, 56, 7097, 33, 51, 35, 43, 35, 2785, 35, 67, 36, 36, 39, 69, 4657, 51, 392, 313, 56, 7097, 33, 51, 35, 43, 35, 5735, 35, 67, 34, 36, 41, 69, 4657, 51, 3439, 7120, 384, 97, 915, 47, 448, 363, 94, 81, 1237, 81, 678, 27, 284, 5018, 32, 6057, 280, 3037, 6877, 1910, 97, 67, 392, 313, 37359, 1910, 97, 67, 1446, 284, 5018, 280, 428, 1479, 30, 5018, 79, 284, 1418, 280, 11647, 26, 1311, 347, 2045, 570, 8146, 2064, 6867, 392, 1914, 347, 1238, 363, 94, 33, 56, 1092, 392, 1361, 17110, 47, 1815, 27, 284, 7565, 280, 16079, 26, 1479, 47, 1479, 30, 7565, 81, 681, 1057, 928, 370, 1418, 47, 1621, 27, 284, 7565, 32, 3399, 26, 3483, 1057, 713, 34669, 683, 284, 7565, 32, 3399, 26, 3483, 1057, 24411, 683, 284, 7565, 32, 3399, 26, 3483, 1057, 3399, 631, 683, 225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 0, 1, 1, 0, 1, 1, 1, 1, 3, 6, 6, 4, 4, 5, 5, 1, 2, 2, 2, 2, 4, 6, 6, 0, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 5, 5, 4, 5, 5, 3, 3, 5, 2, 2, 4, 4, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 5, 5, 7, 7, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 4, 4, 3, 3, 4, 2, 2, 4, 4, 3, 3, 4, 1, 1, 1, 4, 4, 7, 7, 6, 7, 6, 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, 9, 9, 9, 9, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 6, 2, 2, 5, 6, 4, 4, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 2, 2, 4, 4, 6, 8, 7, 9, 9, 9, 9, 6, 7, 9, 9, 9, 9, 9, 9, 9, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 8, 7, 8, 6, 6, 8, 8, 7, 9, 9, 6, 7, 8, 6, 2, 2, 5, 6, 5, 7, 6, 8, 8, 2, 2, 5, 6, 5, 7, 6, 8, 8, 8, 2, 2, 5, 6, 5, 7, 6, 8, 8, 8, 0, 1, 1, 4, 4, 3, 3, 4, 2, 2, 4, 4, 3, 3, 4, 1, 1, 1, 4, 4, 7, 7, 6, 7, 6, 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, 9, 9, 9, 9, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 6, 2, 2, 5, 6, 4, 4, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 2, 2, 4, 4, 6, 5, 5, 5, 2, 2, 4, 4, 6, 8, 7, 9, 9, 9, 9, 9, 9, 6, 7, 9, 9, 9, 9, 9, 9, 9, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 8, 7, 8, 6, 6, 8, 8, 7, 9, 9, 6, 7, 8, 6, 2, 2, 5, 6, 5, 7, 6, 8, 8, 8, 2, 2, 5, 6, 5, 7, 6, 8, 8, 2, 2, 5, 6, 5, 7, 6, 8, 8, 8, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 6, 6, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 6, 6, 6, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 0, 5, 2, 1, 3, 3, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 3, 1, 2, 1, 5, 2, 1, 3, 3, 0, 2, 1, 0, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 1, 1, 2, 0, 7, 7, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 7, 7, 7, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 0, 5, 2, 1, 3, 3, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 3, 1, 2, 1, 5, 2, 1, 3, 3, 0, 2, 1, 0, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 1, 2, 3, 3, 0, 2, 1, 0, 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 ]
[ 465, 2322, 203, 465, 5237, 203, 1270, 44, 284, 645, 29947, 1188, 4705, 203, 7343, 29986, 44, 284, 645, 638, 1188, 33087, 81, 5522, 284, 645, 29947, 1188, 4705, 203, 2544, 81, 5660, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 203, 2859, 2536, 280, 301, 284, 330, 10229, 32, 954, 950, 1665, 30, 284, 330, 23150, 940, 32, 954, 950, 1665, 30, 284, 330, 25418, 2123, 1818, 9135, 32, 2760, 950, 1665, 30, 203, 111, 203, 979, 4870, 328, 6089, 2536, 44, 284, 1596, 44, 291, 1550, 81, 761, 280, 2156, 26, 500, 32, 983, 32, 2524, 26, 2544, 81, 5660, 30, 4870, 490, 291, 6089, 2536, 77, 3607, 79, 280, 1550, 81, 761, 32, 850, 346, 291, 1550, 81, 761, 32, 2679, 346, 284, 2940, 45338, 44, 291, 3097, 203, 10950, 280, 428, 284, 330, 3308, 834, 7148, 37, 32, 35, 32, 40, 370, 203, 79, 203, 4519, 280, 301, 284, 330, 426, 950, 330, 11025, 31, 3513, 2046, 370, 284, 330, 1648, 950, 330, 34, 32, 35, 32, 36, 370, 284, 330, 2310, 950, 330, 70, 4062, 2276, 461, 22565, 3026, 1991, 8814, 290, 3210, 328, 4549, 32, 11551, 758, 2730, 20040, 284, 330, 3222, 81, 2310, 950, 6089, 2536, 710, 10229, 32, 954, 785, 474, 3228, 96, 78, 96, 25, 474, 6089, 2536, 710, 23150, 940, 32, 954, 2188, 284, 330, 823, 6667, 950, 6089, 2536, 710, 25418, 2123, 1818, 9135, 32, 2760, 2188, 284, 330, 2116, 950, 330, 21089, 267, 559, 32, 358, 937, 265, 370, 284, 330, 2116, 81, 1935, 950, 330, 1211, 1253, 5148, 50, 41759, 314, 6631, 32, 508, 370, 284, 330, 965, 950, 330, 525, 555, 933, 32, 508, 33, 1211, 1253, 5148, 33, 11025, 31, 3513, 2046, 370, 284, 330, 7255, 950, 2550, 284, 330, 5043, 950, 428, 291, 330, 3513, 2046, 370, 291, 330, 3513, 2046, 32, 9331, 370, 291, 330, 3513, 2046, 32, 9331, 32, 7621, 370, 284, 2505, 284, 330, 1320, 81, 605, 950, 301, 291, 330, 3513, 2046, 950, 2107, 8881, 33, 3513, 2046, 1109, 2188, 284, 801, 284, 330, 858, 81, 9089, 950, 330, 3513, 2046, 32, 4882, 370, 284, 330, 3789, 81, 13966, 950, 6440, 30, 284, 330, 4882, 81, 1981, 950, 6440, 30, 203, 111, 203, 5522, 14605, 4519, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 3, 3, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 0, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 3, 7, 7, 6, 6, 8, 12, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 10, 4, 4, 8, 7, 8, 7, 6, 6, 9, 9, 8, 9, 8, 4, 4, 8, 8, 7, 8, 7, 3, 3, 4, 4, 4, 4, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 8, 7, 9, 9, 9, 9, 6, 6, 9, 9, 9, 8, 5, 5, 7, 6, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 6, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 3, 3, 6, 6, 4, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 6, 6, 6, 6, 4, 5, 5, 8, 8, 8, 6, 9, 9, 9, 9, 9, 9, 5, 5, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 0, 3, 3, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 0, 5, 5, 5, 5, 3, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 7, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 9, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 17, 2, 2, 1, 2, 19, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 21, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 23, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 25, 2, 2, 2, 1, 1, 1, 2, 27, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 745, 92, 289, 1188, 1123, 203, 1070, 18971, 1188, 2908, 81, 2387, 30, 1326, 30, 5668, 203, 1070, 1984, 2208, 1188, 1984, 2208, 203, 465, 1913, 1356, 36, 203, 465, 316, 203, 589, 2287, 81, 1553, 26, 965, 711, 284, 420, 280, 1913, 1356, 36, 32, 2217, 346, 284, 1596, 44, 291, 5127, 280, 420, 32, 1357, 26, 965, 30, 330, 6896, 683, 291, 415, 5127, 77, 34, 997, 1517, 610, 225, 36, 34, 34, 44, 324, 442, 2933, 284, 2940, 308, 525, 1356, 36, 32, 11777, 6333, 924, 30, 1913, 1356, 36, 32, 2059, 27981, 711, 291, 442, 3177, 203, 589, 1505, 81, 5721, 26, 965, 711, 284, 8436, 280, 1984, 2208, 26, 965, 27, 284, 415, 8436, 32, 13627, 610, 34863, 291, 442, 313, 525, 35437, 474, 1984, 284, 813, 44, 291, 442, 1984, 203, 589, 438, 81, 1327, 81, 965, 26, 965, 711, 284, 9667, 280, 316, 32, 6993, 26, 291, 540, 28249, 18470, 525, 110, 14123, 27, 101, 49, 555, 25, 16189, 540, 25, 18470, 18470, 77, 51, 31, 76, 34, 31, 43, 729, 2805, 77, 51, 31, 76, 34, 31, 43, 31, 8274, 34, 30, 40, 35, 12893, 51, 31, 76, 34, 31, 43, 1130, 49, 8169, 7283, 18470, 77, 51, 31, 76, 8274, 36, 30, 40, 4104, 32, 19067, 291, 540, 25, 10182, 51, 31, 76, 34, 31, 43, 31, 8274, 36, 30, 4104, 32, 49, 6488, 25, 16189, 540, 25, 5007, 19994, 16189, 540, 10255, 86, 109, 35, 30, 37, 4104, 5327, 86, 109, 35, 30, 37, 4104, 5327, 86, 109, 35, 30, 37, 4104, 5327, 86, 109, 35, 30, 37, 111, 19994, 16189, 540, 10255, 77, 48113, 51, 31, 56, 34, 31, 43, 6603, 14656, 51, 31, 56, 34, 31, 43, 44, 6155, 24832, 49, 9905, 16189, 540, 25, 12390, 403, 78, 86, 29, 6505, 25, 16189, 540, 25, 18470, 8172, 10182, 8172, 10854, 69, 29, 9501, 370, 316, 32, 1434, 2576, 6755, 3204, 27, 284, 415, 9667, 32, 1903, 26, 965, 711, 291, 442, 2933, 284, 442, 3177, 203, 50, 725, 32, 4351, 32087, 203, 589, 2575, 2262, 284, 442, 2908, 81, 2387, 440, 1055, 32, 916, 657, 203, 50, 725, 32, 4351, 4207, 599, 392, 4438, 18278, 2788, 392, 313, 3705, 6890, 203, 589, 5543, 81, 599, 2262, 284, 415, 1326, 32, 1959, 610, 313, 2788, 563, 291, 442, 5668, 24667, 284, 813, 44, 291, 2676, 81, 2468, 280, 1326, 32, 599, 710, 1840, 2468, 785, 291, 2676, 81, 2468, 280, 1505, 81, 5721, 26, 1840, 81, 2468, 27, 291, 2080, 81, 965, 280, 438, 81, 1327, 81, 965, 26, 1840, 81, 2468, 27, 291, 415, 646, 2080, 81, 965, 44, 324, 442, 2908, 81, 2387, 440, 1055, 32, 916, 657, 291, 813, 44, 324, 1505, 81, 12787, 280, 2287, 81, 1553, 26, 1840, 81, 2468, 27, 324, 415, 1505, 81, 12787, 44, 400, 442, 2908, 81, 2387, 440, 4737, 32, 916, 392, 10000, 973, 347, 1011, 1182, 2772, 392, 10000, 1984, 47, 1840, 81, 2468, 27, 324, 813, 44, 400, 442, 2908, 81, 2387, 440, 4737, 32, 916, 392, 10000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 6, 7, 6, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 8, 10, 10, 4, 4, 5, 8, 9, 8, 8, 6, 6, 7, 7, 7, 5, 5, 5, 7, 3, 3, 4, 7, 7, 7, 6, 7, 7, 7, 5, 5, 7, 7, 6, 7, 7, 5, 4, 4, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 7, 6, 2, 2, 3, 5, 6, 4, 4, 3, 3, 5, 8, 8, 6, 6, 3, 3, 4, 4, 4, 6, 0, 1, 1, 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, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 7, 7, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 8, 8, 8, 8, 6, 2, 2, 3, 5, 6, 5, 6, 5, 3, 3, 5, 2, 2, 3, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 2, 2, 4, 6, 6, 6, 8, 8, 8, 8, 0, 2, 5, 4, 5, 4, 6, 6, 4, 5, 8, 8, 6, 8, 8, 1, 2, 2, 3, 3, 3, 2, 2, 4, 6, 7, 5, 5, 7, 7, 4, 4, 6, 8, 4, 4, 5, 5, 5, 9, 9, 8, 8, 10, 11, 9, 11, 11, 11, 6, 6, 9, 9, 8, 8, 10, 10, 10, 11, 11, 11, 10, 6, 6, 9, 9, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 10, 6, 6, 7, 8, 9, 9, 7, 7, 7, 9, 11, 11, 11, 13, 13, 13, 13, 7, 7, 8, 8, 8, 12, 12, 11, 11, 13, 13, 13, 14, 14, 14, 13, 9, 9, 10, 11, 11, 10, 10, 10, 12, 14, 14, 14, 16, 16, 16, 16, 14, 14, 15, 17, 17, 17, 17, 14, 14, 15, 16, 16, 16, 14, 10, 10, 11, 11, 11, 13, 15, 15, 15, 17, 17, 17, 17, 15 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 3, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 1, 3, 3, 0, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 0, 0, 0, 2, 1, 8, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 2, 2, 1, 2, 9, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 3619, 10201, 32, 696, 32, 20973, 1188, 4107, 101, 203, 1070, 3619, 10201, 32, 696, 32, 4597, 1188, 28152, 3808, 203, 1070, 3619, 10201, 32, 2602, 1188, 17195, 3135, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 20506, 280, 17195, 3135, 766, 291, 638, 4164, 766, 291, 638, 33088, 440, 35530, 5297, 657, 766, 291, 638, 371, 25277, 346, 284, 706, 280, 10440, 27841, 32, 15378, 26, 38, 30, 10440, 34, 30, 225, 35, 32, 34, 471, 308, 37, 30, 429, 36, 32, 34, 45516, 471, 324, 308, 27841, 32, 19625, 2009, 38, 32, 34, 30, 225, 39, 32, 34, 30, 225, 34, 32, 34, 30, 225, 37, 32, 34, 5727, 471, 324, 308, 27841, 32, 19625, 2009, 40, 32, 34, 30, 225, 41, 32, 34, 30, 225, 34, 32, 34, 30, 225, 42, 32, 34, 5727, 471, 324, 308, 27841, 32, 15378, 26, 38, 30, 10440, 34, 30, 225, 43, 32, 34, 471, 308, 37, 30, 225, 35, 32, 34, 45516, 2177, 284, 5018, 280, 20506, 32, 1297, 11364, 26, 605, 30, 3037, 5905, 6890, 284, 540, 35, 280, 28152, 3808, 32, 20114, 26, 1479, 30, 313, 5905, 1895, 1816, 346, 284, 1459, 440, 66, 1928, 1155, 24716, 5045, 3491, 96, 20, 474, 596, 26, 100, 35, 77, 34, 5259, 284, 540, 36, 280, 28152, 3808, 32, 20114, 26, 1479, 30, 313, 5905, 392, 313, 101, 6094, 1588, 1895, 1816, 346, 284, 1459, 440, 69, 6094, 1588, 24716, 5045, 3491, 96, 20, 474, 596, 26, 100, 36, 77, 34, 5259, 284, 20506, 32, 4048, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 10, 9, 10, 9, 10, 8, 9, 8, 9, 8, 10, 10, 10, 6, 7, 6, 7, 7, 6, 2, 2, 4, 4, 9, 8, 9, 8, 9, 8, 8, 11, 10, 10, 11, 11, 11, 10, 9, 11, 10, 10, 12, 12, 12, 10, 6, 5, 5, 9, 8, 9, 8, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 6, 5, 5, 9, 8, 9, 8, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 6, 5, 5, 9, 8, 9, 8, 9, 8, 8, 11, 10, 10, 11, 11, 11, 10, 9, 11, 10, 10, 11, 11, 11, 10, 6, 2, 2, 4, 4, 6, 7, 7, 6, 7, 6, 6, 9, 9, 2, 2, 5, 4, 4, 9, 8, 9, 8, 9, 8, 8, 10, 10, 7, 6, 2, 2, 5, 8, 8, 8, 8, 8, 8, 9, 8, 6, 6, 8, 10, 10, 9, 10, 9, 2, 2, 5, 4, 4, 9, 8, 9, 8, 9, 8, 8, 10, 10, 8, 10, 10, 10, 10, 7, 6, 2, 2, 5, 8, 8, 8, 8, 8, 8, 9, 8, 6, 6, 8, 10, 10, 9, 10, 9, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 3, 0, 1, 0, 3, 1, 1, 1, 2, 0, 1, 0, 3, 3, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 3, 1, 3, 3, 1, 1, 1, 3, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 3, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 5, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 3, 1, 3, 3, 3, 3, 3, 3, 7, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 29590, 30, 2322, 203, 465, 6436, 619, 2065, 203, 1070, 8735, 28894, 32, 17213, 1188, 475, 1310, 27088, 974, 30, 475, 4766, 27088, 974, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 16708, 203, 1070, 8735, 28894, 32, 4266, 1188, 622, 81, 3359, 30, 7096, 30, 11233, 652, 2207, 18587, 30, 29657, 203, 1070, 22977, 1188, 540, 41718, 203, 3359, 81, 86, 359, 280, 622, 81, 3359, 463, 1744, 34, 32, 86, 359, 683, 203, 3359, 81, 34803, 280, 622, 81, 3359, 463, 1744, 34, 32, 34803, 683, 203, 3359, 81, 23911, 280, 622, 81, 3359, 463, 3723, 32, 23911, 683, 203, 1433, 280, 29590, 32, 4765, 86, 1433, 26, 12420, 1057, 32, 86, 359, 683, 203, 589, 40688, 81, 1647, 26, 1647, 711, 284, 1596, 44, 291, 540, 41718, 26, 1433, 27, 284, 2940, 546, 21887, 44, 291, 3097, 203, 589, 894, 81, 850, 2262, 284, 343, 359, 81, 28894, 280, 475, 1310, 27088, 974, 26, 3359, 81, 86, 359, 27, 284, 7096, 26, 1657, 26, 86, 359, 81, 28894, 471, 225, 39, 34, 35, 27, 284, 22090, 30, 6496, 30, 4020, 81, 25978, 30, 4020, 81, 13294, 225, 280, 343, 359, 81, 28894, 32, 850, 346, 284, 22090, 36, 30, 4020, 81, 25978, 36, 30, 4020, 81, 13294, 36, 280, 475, 4766, 27088, 974, 26, 3359, 81, 34803, 547, 850, 346, 284, 7096, 26, 11469, 30, 22090, 36, 27, 284, 7096, 26, 3376, 81, 25978, 30, 4020, 81, 25978, 36, 27, 284, 7096, 26, 3376, 81, 13294, 30, 4020, 81, 13294, 36, 27, 203, 589, 894, 81, 850, 81, 35, 2262, 284, 22090, 30, 6496, 30, 4020, 81, 25978, 30, 4020, 81, 13294, 280, 475, 1310, 27088, 974, 26, 3359, 81, 86, 359, 547, 850, 346, 284, 22090, 36, 30, 6496, 36, 30, 4020, 81, 25978, 36, 30, 4020, 81, 13294, 36, 280, 475, 1310, 27088, 974, 26, 3359, 81, 86, 359, 547, 850, 26, 96, 81, 9433, 47, 39, 34, 35, 27, 284, 7096, 26, 11469, 30, 22090, 36, 27, 284, 7096, 26, 5571, 30, 6496, 36, 27, 284, 7096, 26, 3376, 81, 25978, 30, 4020, 81, 25978, 36, 27, 284, 7096, 26, 3376, 81, 13294, 30, 4020, 81, 13294, 36, 27, 203, 589, 894, 81, 850, 81, 36, 2262, 284, 10193, 280, 2065, 32, 955, 2009, 34, 30, 225, 37, 30, 225, 35, 36, 30, 225, 38, 1130, 284, 22090, 30, 6496, 30, 4020, 81, 25978, 30, 4020, 81, 13294, 280, 475, 1310, 27088, 974, 26, 3359, 81, 86, 359, 547, 850, 346, 284, 22090, 36, 30, 6496, 36, 30, 4020, 81, 25978, 36, 30, 4020, 81, 13294, 36, 280, 475, 1310, 27088, 974, 26, 3359, 81, 86, 359, 547, 850, 26, 4149, 81, 7711, 47, 7711, 27, 284, 7096, 26, 11469, 6894, 7711, 13206, 614, 22090, 36, 27, 284, 7096, 26, 5571, 30, 6496, 36, 27, 284, 7096, 26, 3376, 81, 25978, 30, 4020, 81, 25978, 36, 27, 284, 7096, 26, 3376, 81, 13294, 30, 4020, 81, 13294, 36, 27, 203, 589, 894, 81, 850, 81, 37, 2262, 284, 343, 359, 81, 28894, 280, 475, 1310 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 6, 5, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 7, 7, 8, 7, 3, 3, 4, 5, 4, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 5, 7, 7, 8, 8, 8, 8, 7, 5, 6, 6, 6, 5, 2, 2, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 4, 4, 4, 7, 7, 7, 6, 7, 6, 2, 2, 6, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 4, 4, 8, 8, 8, 8, 9, 9, 9, 8, 7, 6, 2, 2, 5, 6, 5, 5, 6, 5, 2, 2, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 2, 2, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 4, 4, 8, 8, 8, 8, 9, 9, 9, 9, 8, 7, 6, 2, 2, 6, 5, 5, 6, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 4, 4, 8, 8, 8, 8, 9, 9, 9, 9, 8, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 6, 5, 5, 6, 5, 2, 2, 5, 6, 5, 5, 6, 5, 2, 2, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 2, 2, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 7, 2, 2, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 4, 4, 8, 8, 8, 8, 9, 9, 9, 9, 8, 7, 6, 2, 2, 6, 5, 5, 6, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 4, 4, 8, 8, 8, 8, 9, 9, 9, 9, 8, 7, 6, 8, 8, 8, 7, 8, 6, 2, 2, 5, 7, 6, 7, 6, 6, 5, 6, 5, 2, 2, 5, 6, 5, 5, 6, 5, 2, 2, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 2, 2, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 0, 11, 11, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 12, 12, 1, 1, 1, 1, 2, 12, 12, 0, 0, 0, 0, 4, 4, 0, 0, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 4, 4, 4, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 13, 13, 1, 1, 1, 1, 2, 13, 13, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 4, 4, 4, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 1, 0, 1, 4, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 14, 14, 1, 1, 1, 1, 2, 14, 14, 0, 0, 0, 0, 0, 0 ]
[ 1070, 15306, 1867, 1188, 33897, 203, 1070, 15306, 1867, 32, 18246, 1188, 394, 342, 2315, 16653, 203, 1070, 7138, 1188, 7138, 30, 30784, 261, 203, 1070, 15306, 1867, 32, 3378, 1188, 9870, 225, 203, 1536, 81, 1132, 280, 301, 284, 330, 5632, 950, 330, 11411, 2274, 370, 284, 330, 27263, 81, 267, 81, 20549, 950, 3177, 30, 284, 330, 1366, 81, 770, 950, 7138, 32, 2174, 346, 429, 30784, 26, 18461, 47, 39, 471, 284, 330, 1935, 81, 267, 81, 11879, 950, 3177, 30, 284, 330, 1935, 81, 267, 81, 13558, 950, 3177, 30, 284, 330, 31039, 950, 225, 34, 30, 284, 330, 13558, 81, 7843, 950, 30784, 26, 18461, 47, 35, 471, 284, 330, 5628, 417, 950, 3177, 30, 284, 330, 15720, 81, 1819, 950, 2933, 30, 284, 330, 33433, 25, 499, 30784, 26, 18461, 47, 39, 27, 203, 111, 203, 27717, 81, 31031, 81, 2474, 280, 313, 1006, 12242, 20, 203, 1831, 81, 48022, 81, 22288, 36, 47, 31031, 26, 22288, 81, 314, 47, 27717, 81, 31031, 81, 2474, 30, 1244, 81, 1132, 47, 1536, 81, 1132, 30, 10098, 81, 7568, 1057, 1958, 39, 319, 319, 319, 319, 370, 27, 203, 519, 280, 394, 342, 2315, 16653, 26, 203, 202, 2795, 81, 314, 347, 858, 81, 3477, 392, 17946, 30075, 47, 1831, 81, 48022, 81, 22288, 36, 30, 284, 2467, 280, 9870, 32, 371, 440, 85, 348, 81, 2501, 81, 371, 81, 10799, 2113, 284, 25695, 2315, 81, 3781, 81, 314, 280, 313, 10597, 2315, 81, 1536, 392, 284, 13247, 81, 3781, 81, 314, 280, 313, 9558, 81, 7133, 81, 38, 392, 284, 4465, 81, 466, 280, 313, 2300, 50, 52, 43120, 11483, 5844, 284, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 3, 2, 3, 1, 1, 0, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 7, 8, 7, 5, 5, 7, 9, 8, 9, 7, 3, 3, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 4, 6, 8, 7, 8, 6, 3, 3, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 4, 4, 6, 8, 7, 8, 6, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 4, 4, 6, 6, 6, 5, 6, 6, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 7, 7, 7, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 7, 2, 2, 2, 1, 1, 1, 1, 1, 2, 9, 2, 2, 2, 1, 2, 11, 2, 2, 2, 2, 1, 1, 1, 2, 13, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 15, 2, 2, 2, 1, 1, 1, 2, 17, 2, 2, 2, 1, 2, 19, 19, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 11, 11, 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 ]
[ 465, 41624, 203, 1070, 8206, 13835, 32, 4068, 32, 106, 1708, 1188, 7581, 1708, 30, 37773, 203, 1070, 8206, 13835, 32, 4068, 32, 31423, 32, 28106, 690, 32, 1580, 1188, 38456, 203, 1070, 14967, 295, 43692, 1188, 3788, 203, 1070, 420, 1373, 43692, 1188, 2299, 81, 858, 203, 465, 12388, 619, 9101, 203, 589, 894, 26, 99, 30, 6866, 30, 4567, 30, 3443, 711, 284, 312, 1772, 81, 2956, 280, 4567, 32, 1104, 24409, 26, 35, 30, 2107, 43809, 50, 3986, 32, 508, 3490, 77, 34, 79, 284, 595, 99, 280, 38456, 26, 2238, 30, 330, 470, 683, 284, 2467, 280, 595, 99, 32, 40682, 39109, 28106, 690, 44, 10179, 44, 290, 6437, 370, 330, 1217, 2847, 284, 1623, 280, 2467, 32, 40682, 463, 1094, 683, 284, 1623, 710, 44579, 785, 280, 330, 43809, 50, 3986, 32, 508, 25, 284, 1623, 710, 10736, 785, 280, 330, 16361, 25, 284, 3443, 32, 2714, 26, 10179, 27, 284, 20812, 280, 7581, 1708, 32, 1308, 1162, 2521, 30, 330, 29848, 2847, 284, 20812, 710, 1070, 785, 280, 330, 43809, 50, 3986, 32, 508, 25, 284, 2519, 280, 20812, 32, 40682, 1162, 2521, 30, 330, 2245, 2847, 284, 2519, 32, 669, 1777, 463, 21751, 683, 284, 2287, 280, 20812, 32, 40682, 1162, 2521, 30, 330, 1517, 2847, 284, 2287, 32, 669, 1777, 463, 1076, 322, 2547, 683, 284, 3443, 32, 2714, 26, 29848, 27, 284, 1692, 280, 2678, 32, 2358, 463, 26945, 31, 7295, 370, 7060, 1057, 11584, 3015, 3650, 683, 284, 1201, 1692, 32, 1132, 77, 34, 79, 610, 301, 312, 1772, 81, 2956, 44, 308, 37, 30, 330, 21751, 370, 330, 1076, 322, 2547, 683, 320, 284, 20812, 280, 7581, 1708, 32, 1308, 1162, 2521, 30, 330, 29848, 2847, 284, 20812, 710, 1070, 785, 280, 330, 43809, 50, 3986, 32, 508, 25, 284, 2519, 280, 20812, 32, 40682, 1162, 2521, 30, 330, 2245, 2847, 284, 2519, 32, 669, 1777, 463, 6172, 683, 284, 2287, 280, 20812, 32, 40682, 1162, 2521, 30, 330, 1517, 2847, 284, 2287, 32, 669, 1777, 463, 59, 1631, 1159, 2583, 46270, 299, 683, 284, 3443, 32, 2714, 26, 29848, 27, 284, 1692, 280, 2678, 32, 2358, 463, 26945, 31, 7295, 370, 7060, 1057, 11584, 3015, 3650, 683, 284, 1201, 1692, 32, 1132, 77, 34, 79, 610, 301, 312, 1772, 81, 2956, 44, 308, 36, 30, 330, 7230, 370, 330, 59, 1631, 1159, 2583, 46270, 299, 683, 320, 284, 312, 1772, 81, 2956, 30, 619, 104, 280, 4567, 32, 18898, 32, 936, 5870, 24755, 463, 43809, 50, 3986, 32, 508, 370, 324, 428, 1729, 32, 29302, 81, 2952, 3266, 81, 28500, 81, 41719, 8303, 1130, 284, 3788, 26, 1567, 32, 1132, 77, 34, 1674, 43809, 81, 2956, 614, 619, 104, 32, 371, 26, 1729, 32, 11486, 81, 41719, 8303, 490, 284, 35754, 81, 2956, 30, 619, 104, 280, 4567, 32, 18898, 32, 936, 5870, 24755, 463, 23239, 50, 3986, 32, 508, 370, 324, 428, 1729, 32, 29302, 81, 2952, 3266, 81, 28500, 81, 41719, 8303, 1130, 284, 3788, 1162, 1729, 32, 41719, 8303, 81, 14174, 30, 330, 6876, 370, 12304, 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, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 7, 8, 8, 7, 8, 7, 7, 10, 10, 10, 10, 10, 10, 5, 6, 5, 2, 2, 5, 4, 4, 6, 7, 6, 6, 8, 8, 2, 2, 4, 4, 7, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 8, 2, 2, 5, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 7, 7, 4, 4, 6, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 4, 4, 7, 6, 7, 6, 8, 7, 7, 9, 9, 2, 2, 5, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 7, 9, 9, 2, 2, 5, 6, 6, 5, 7, 7, 2, 2, 4, 4, 6, 7, 6, 8, 7, 7, 9, 9, 2, 2, 5, 6, 6, 5, 7, 7, 7, 7, 2, 2, 5, 6, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 2, 2, 3, 6, 7, 5, 6, 5, 4, 4, 5, 7, 7, 7, 6, 6, 8, 7, 7, 9, 9, 7, 9, 9, 9, 9, 5, 2, 2, 4, 4, 7, 6, 7, 6, 8, 7, 7, 9, 9, 2, 2, 5, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 7, 9, 9, 2, 2, 5, 6, 6, 5, 7, 7, 2, 2, 4, 4, 6, 7, 6, 8, 7, 7, 9, 9, 2, 2, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 2, 2, 3, 6, 7, 5, 6, 5, 4, 4, 5, 7, 7, 7, 6, 6, 8, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 5, 2, 2, 6, 6, 6, 5, 5, 6, 4, 4, 7, 8, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 2, 2, 5, 9, 8, 9, 7, 8, 7, 7, 7, 7, 6, 5, 8, 7, 8, 7, 9, 8, 9, 9, 9, 9, 7, 2, 2, 6, 6, 5, 5, 6, 4, 4, 7, 8, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 2, 2, 5, 8, 7, 8, 8, 8, 8, 6, 6, 8, 8, 6, 5 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 1, 6, 6, 1, 8, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 1, 1, 0, 6, 6, 2, 1, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 4, 4, 15, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 4, 4, 24, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1 ]
[ 1070, 1933, 1188, 28667, 203, 465, 5741, 203, 1070, 296, 39, 81, 1152, 573, 32, 3142, 1188, 6287, 203, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 622, 81, 4133, 81, 678, 26, 4133, 711, 284, 442, 3627, 32, 371, 463, 426, 370, 9142, 203, 823, 11540, 750, 1564, 26, 2291, 711, 284, 4308, 280, 5436, 26, 291, 636, 47, 2521, 30, 291, 9778, 47, 2521, 30, 291, 827, 47, 2521, 30, 291, 9212, 47, 668, 346, 284, 829, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 9778, 30, 1115, 605, 711, 291, 2599, 26, 4292, 750, 1564, 30, 630, 14585, 1664, 3207, 426, 30, 9778, 27, 291, 630, 1114, 605, 710, 681, 785, 280, 706, 32, 371, 463, 681, 370, 9142, 291, 9212, 280, 706, 32, 371, 463, 11541, 370, 1149, 1157, 291, 630, 1114, 605, 710, 11541, 785, 280, 8594, 26, 11541, 30, 1202, 47, 371, 81, 4133, 81, 678, 27, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 81, 12579, 711, 291, 415, 646, 6937, 26, 2455, 81, 12579, 30, 11540, 750, 1564, 711, 324, 442, 3177, 291, 436, 1202, 328, 630, 32, 4642, 44, 324, 415, 630, 1114, 605, 77, 678, 79, 863, 1604, 81, 12579, 32, 605, 32, 371, 26, 678, 30, 1665, 711, 400, 442, 3177, 291, 442, 2933, 284, 665, 1156, 2888, 3207, 784, 711, 16189, 442, 2599, 26, 4292, 750, 1564, 30, 630, 14585, 2888, 16369, 284, 665, 617, 3423, 81, 983, 26, 784, 30, 6524, 639, 711, 291, 442, 6524, 639, 32, 6546, 32, 2159, 95, 32, 605, 81, 1363, 32, 37293, 32, 3259, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 596, 26, 784, 1114, 605, 27, 284, 665, 1974, 26, 784, 30, 6524, 639, 30, 706, 47, 2521, 30, 5351, 47, 2700, 711, 291, 3691, 81, 2991, 280, 28667, 26, 784, 27, 291, 3691, 81, 2991, 32, 1409, 81, 1877, 26, 7380, 639, 30, 706, 30, 5351, 27, 284, 665, 745, 81, 1877, 26, 784, 30, 6524, 639, 30, 706, 30, 5351, 711, 291, 3555, 630, 1114, 605, 710, 681, 785, 291, 2599, 26, 4292, 750, 1564, 30, 630, 547, 1877, 26, 324, 6524, 639, 30, 706, 47, 605, 30, 5351, 47, 15193, 27, 203, 823, 439, 2446, 4292, 750, 1564, 26, 4292, 750, 1564, 711, 284, 3097, 203, 823, 8059, 4292, 750, 1564, 26, 4292, 750, 1564, 711, 284, 3097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 7, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 7, 9, 9, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 4, 4, 8, 9, 7, 9, 9, 6, 6, 8, 9, 8, 10, 10, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 10, 4, 4, 8, 9, 7, 9, 9, 6, 6, 8, 9, 8, 8, 9, 10, 10, 10, 10, 10, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 8, 9, 9, 9, 8, 8, 9, 9, 8, 5, 5, 7, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 7, 10, 11, 9, 10, 9, 8, 8, 12, 12, 11, 12, 10, 11, 10, 11, 10, 10, 10, 7, 7, 9, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 10, 10, 10, 9, 9, 9, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 11, 10, 11, 9, 10, 10, 8, 9, 9, 9, 7, 8, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 8, 8, 7, 8, 8, 8, 7, 8, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 6, 8, 8, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 7, 7, 7, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 1, 1, 2, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 4, 4, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 2, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 1, 0, 1, 2, 1, 4, 4, 6, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 7, 2, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 7, 7, 0, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 7, 7, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 7143, 5650, 940, 81, 3197, 280, 3056, 2833, 33, 30734, 31, 7480, 302, 302, 36, 33, 1990, 380, 644, 11503, 33, 27597, 101, 25, 203, 4241, 81, 3197, 280, 3056, 25396, 33, 302, 33, 1990, 380, 644, 11503, 33, 100, 3258, 33, 47962, 81, 36, 34, 35, 41, 81, 1189, 279, 5123, 81, 364, 81, 279, 81, 2905, 81, 36, 34, 35, 37, 25, 203, 12784, 81, 3197, 280, 3056, 2833, 33, 30734, 31, 7480, 302, 302, 36, 33, 1990, 380, 644, 11503, 33, 933, 81, 7297, 33, 10361, 81, 4948, 81, 9247, 33, 8121, 25, 203, 20369, 4601, 81, 3197, 280, 3056, 2833, 33, 30734, 31, 34, 40, 33, 302, 33, 1990, 380, 644, 11503, 33, 21571, 33, 47962, 81, 36, 34, 35, 41, 81, 1189, 279, 5123, 81, 364, 81, 279, 81, 2905, 81, 36, 34, 35, 37, 33, 101, 1691, 81, 6270, 81, 416, 81, 7068, 25, 203, 7143, 65, 1023, 81, 9492, 280, 330, 2840, 35, 34, 25, 203, 7143, 65, 1023, 81, 20178, 51, 280, 37906, 5650, 940, 81, 3197, 474, 13637, 474, 570, 21125, 1023, 81, 9492, 474, 3056, 31692, 26565, 570, 21125, 1023, 81, 9492, 29, 5608, 1919, 25, 203, 34771, 81, 9193, 280, 37906, 5650, 940, 81, 3197, 474, 13637, 474, 570, 21125, 1023, 81, 9492, 474, 3056, 6443, 81, 43326, 25, 203, 57, 5754, 280, 37906, 5650, 940, 81, 3197, 474, 13637, 474, 570, 21125, 1023, 81, 9492, 474, 3056, 4330, 7404, 474, 330, 2518, 687, 32, 104, 63, 35, 35, 32, 4330, 32, 12655, 81, 100, 26350, 81, 102, 26350, 32, 1837, 88, 25, 203, 7143, 55, 81, 8356, 280, 37906, 5650, 940, 81, 3197, 474, 13637, 474, 570, 21125, 1023, 81, 9492, 474, 3056, 4330, 7404, 474, 570, 21125, 1023, 81, 9492, 32142, 16089, 81, 4243, 81, 2758, 7993, 32, 27455, 25, 203, 57, 5754, 81, 1068, 68, 280, 37906, 5650, 940, 81, 3197, 474, 13637, 474, 570, 21125, 1023, 81, 9492, 474, 3056, 4330, 7404, 474, 330, 2518, 687, 32, 104, 63, 35, 35, 32, 89, 486, 2304, 32, 10454, 1068, 24629, 32, 1837, 88, 25, 203, 7143, 55, 81, 9568, 69, 280, 37906, 5650, 940, 81, 3197, 474, 13637, 474, 570, 21125, 1023, 81, 9492, 474, 3056, 4330, 7404, 474, 330, 2518, 687, 32, 104, 63, 35, 35, 32, 3205, 81, 27959, 32, 27455, 25, 261, 203, 1953, 20285, 81, 2378, 927, 10884, 280, 330, 7134, 25, 203, 17436, 7498, 69, 81, 69, 280, 6470, 101, 225, 35, 25, 203, 7143, 55, 81, 52, 1345, 280, 37906, 5650, 940, 81, 3197, 474, 13637, 474, 570, 21125, 1023, 81, 9492, 474, 3056, 4330, 7404, 474, 330, 2840, 35, 34, 32, 104, 63, 35, 35, 32, 29677, 32, 1070, 13686, 2117, 32, 3011, 25, 261, 203, 7383, 81, 23067, 567, 81, 52, 1345, 280, 37906, 5650, 940, 81, 3197, 474, 13637, 474, 570, 21125, 1023, 81, 9492, 474, 3056, 4330, 7404, 474, 330, 2518, 687, 32, 104, 63, 35, 35, 32, 89, 486, 2304, 32, 1366, 81, 10762, 267, 32, 3011, 25, 261, 203, 15707, 81, 23067, 567, 81, 52, 1345 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 2, 2, 4, 4, 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, 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, 0, 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, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 8, 8, 8, 8, 7, 7, 6, 6, 7, 7, 7, 7, 5, 5, 7, 7, 4, 5, 5, 5, 5, 3, 3, 5, 5, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 5, 5, 4, 4, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 0, 3, 3, 2, 2, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 4, 4, 6, 6, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 8, 8, 8, 8, 7, 7, 6, 6, 7, 7, 7, 7, 5, 5, 7, 7, 4, 4, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 4, 4, 6, 6, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 4, 4, 6, 6, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 4, 4, 6, 6, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 4, 4, 6, 6, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 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, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 13625, 203, 465, 6436, 619, 2065, 203, 465, 2322, 203, 1070, 23310, 29615, 23436, 32, 32370, 1188, 1963, 81, 4382, 1649, 619, 13663, 93, 81, 4977, 203, 1070, 23310, 29615, 23436, 32, 4538, 1188, 8745, 619, 9195, 81, 2304, 203, 1070, 638, 26843, 1188, 32347, 203, 823, 2108, 435, 266, 10060, 32891, 44, 284, 665, 894, 81, 268, 266, 10060, 81, 5136, 26, 784, 711, 291, 341, 3434, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 26843, 32, 5140, 26, 324, 330, 3287, 81, 2269, 101, 81, 893, 32, 6543, 11482, 31, 11623, 31, 40, 37, 43, 43, 31, 34, 35, 51, 31, 34, 35, 31, 7146, 35, 32, 87, 42, 872, 40, 39, 286, 31, 86, 40, 37, 87, 31, 38, 36, 1199, 31, 1549, 40, 88, 31, 35, 38, 29409, 2882, 1479, 41, 4184, 32, 2269, 101, 25, 16189, 9658, 291, 2065, 32, 3855, 32, 7389, 26, 35, 27, 291, 2181, 280, 301, 324, 330, 13261, 950, 330, 7740, 450, 20014, 370, 23688, 330, 1516, 81, 17733, 950, 429, 35, 30, 324, 330, 1516, 81, 10459, 81, 462, 81, 9889, 950, 225, 35, 30, 291, 320, 291, 2181, 280, 13625, 32, 426, 41766, 463, 3675, 370, 2181, 32, 3494, 1157, 14605, 1132, 27, 291, 9195, 81, 2304, 32, 1297, 81, 86, 912, 81, 1580, 26, 1132, 27, 291, 341, 3434, 81, 6009, 30, 341, 3434, 81, 1530, 1902, 280, 13663, 93, 81, 4977, 32, 268, 266, 10060, 81, 5136, 26, 324, 341, 3434, 81, 983, 30, 225, 34, 32, 35, 30, 36321, 1865, 47, 36, 34, 27, 291, 15974, 81, 6009, 280, 428, 42, 32, 42, 43, 40, 35, 37, 38, 30, 429, 34, 32, 34, 41, 38, 39, 41, 43, 30, 225, 34, 32, 34, 36, 36, 34, 34, 40, 79, 291, 15974, 81, 1530, 1902, 280, 428, 34, 32, 40, 35, 36, 35, 38, 37, 30, 225, 34, 32, 35, 36, 36, 40, 40, 41, 30, 225, 34, 32, 34, 36, 35, 37, 40, 35, 79, 291, 2065, 32, 4266, 32, 862, 81, 35502, 26, 105, 3434, 81, 6009, 30, 15974, 81, 6009, 30, 35012, 47, 35, 87, 31, 36, 27, 291, 2065, 32, 4266, 32, 862, 81, 35502, 26, 105, 3434, 81, 1530, 1902, 30, 15974, 81, 1530, 1902, 30, 35012, 47, 35, 87, 31, 36, 27, 203, 823, 2108, 5770, 32198, 44, 284, 665, 894, 81, 4155, 81, 29795, 26, 784, 711, 291, 341, 3434, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 26843, 32, 5140, 26, 324, 330, 3287, 81, 2269, 101, 81, 893, 32, 6543, 11482, 31, 11623, 31, 40, 37, 43, 43, 31, 34, 35, 51, 31, 34, 35, 31, 7146, 35, 32, 87, 42, 872, 40, 39, 286, 31, 86, 40, 37, 87, 31, 38, 36, 1199, 31, 1549, 40, 88, 31, 35, 38, 29409, 2882, 1479, 41, 4184, 32, 2269, 101, 25, 291, 9658, 291, 2065, 32, 3855, 32, 7389, 26, 35, 27, 291, 2181, 280, 301, 324, 330, 13261, 950, 330, 7740, 450, 20014, 370, 23688, 330, 1516, 81, 17733, 950, 429, 35, 30, 324, 330, 1516 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 11, 10, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 7, 7, 7, 4, 4, 6, 6, 9, 10, 10, 9, 11, 11, 9, 11, 12, 11, 8, 10, 8, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 8, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 10, 9, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 7, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 11, 10, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 7, 7, 7, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 3, 3, 2, 2, 2, 0, 4, 4, 0, 0, 1, 2, 4, 4, 3, 3, 2, 2, 0, 5, 5, 0, 5, 5, 0, 6, 6, 1, 1, 1, 1, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 5, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 2, 2, 2, 2, 1, 0, 7, 7, 1, 1, 7, 7, 7, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1 ]
[ 1070, 48885, 38, 1188, 10701, 2852, 30, 34031, 203, 1270, 44, 284, 617, 1070, 17997, 42, 280, 10701, 2852, 32, 16606, 32, 1070, 17997, 42, 203, 7343, 29316, 44, 284, 665, 617, 1070, 17997, 42, 26, 101, 711, 291, 442, 309, 203, 1270, 44, 284, 617, 8644, 280, 34031, 32, 67, 2727, 32, 14923, 6261, 42, 284, 665, 617, 7393, 26, 1819, 30, 1344, 30, 1214, 2733, 365, 711, 291, 442, 34031, 32, 67, 2727, 32, 7393, 26, 1819, 30, 1344, 30, 1214, 2733, 365, 30, 617, 8644, 27, 203, 7343, 29316, 44, 284, 665, 617, 7393, 26, 1819, 30, 1344, 30, 1214, 2733, 365, 711, 291, 442, 34031, 32, 67, 2727, 32, 7393, 26, 1819, 30, 1344, 30, 1214, 2733, 365, 27, 203, 823, 27178, 81, 17113, 26, 1473, 711, 284, 665, 4705, 10816, 26, 784, 30, 22544, 711, 291, 22544, 32, 23725, 2176, 1070, 17997, 42, 440, 17113, 2131, 291, 22544, 32, 8510, 26, 38, 39, 35, 30, 225, 37, 34, 34, 27, 291, 630, 32, 3365, 2344, 280, 34031, 32, 67, 48587, 26, 17113, 27, 291, 630, 32, 3365, 2344, 32, 23725, 2176, 1070, 17997, 42, 440, 3365, 2344, 2131, 291, 630, 32, 3435, 720, 280, 34031, 32, 67, 720, 3763, 26, 17113, 27, 291, 630, 32, 3435, 720, 32, 23725, 2176, 1070, 17997, 42, 440, 3435, 720, 2131, 291, 630, 32, 3365, 2344, 32, 21857, 26, 784, 32, 3435, 720, 30, 225, 35, 30, 225, 34, 30, 225, 35, 30, 225, 39, 27, 291, 630, 32, 668, 435, 32414, 280, 34031, 32, 67, 34233, 26, 17113, 27, 291, 630, 32, 668, 435, 32414, 32, 47493, 26, 30609, 32, 32207, 26, 37, 39, 30, 225, 37, 39, 490, 291, 630, 32, 668, 435, 32414, 32, 34698, 1250, 26, 30609, 32, 32207, 26, 37, 39, 30, 225, 37, 39, 490, 291, 630, 32, 668, 435, 32414, 32, 24833, 8337, 2176, 1070, 17997, 42, 440, 3478, 31, 6006, 44, 39, 405, 45, 2131, 291, 630, 32, 668, 435, 32414, 32, 6616, 2176, 1070, 17997, 42, 34367, 291, 630, 32, 668, 435, 32414, 32, 23725, 2176, 1070, 17997, 42, 440, 668, 435, 32414, 2131, 291, 630, 32, 3365, 2344, 32, 21857, 26, 784, 32, 668, 435, 32414, 30, 225, 34, 30, 225, 37, 30, 225, 35, 30, 225, 35, 27, 291, 630, 32, 668, 4913, 280, 34031, 32, 67, 34233, 26, 17113, 27, 291, 630, 32, 668, 4913, 32, 47493, 26, 30609, 32, 32207, 26, 37, 39, 30, 225, 37, 39, 490, 291, 630, 32, 668, 4913, 32, 34698, 1250, 26, 30609, 32, 32207, 26, 37, 39, 30, 225, 37, 39, 490, 291, 630, 32, 668, 4913, 32, 24833, 8337, 2176, 1070, 17997, 42, 440, 3478, 31, 6006, 44, 39, 405, 45, 2131, 291, 630, 32, 668, 4913, 32, 6616, 2176, 1070, 17997, 42, 34367, 291, 630, 32, 668, 4913, 32, 23725, 2176, 1070, 17997, 42, 440, 668, 4913, 2131, 291, 630, 32, 3365, 2344, 32, 21857, 26, 784, 32, 668, 4913, 30, 225, 34, 30, 225, 36, 30, 225, 35, 30, 225, 35, 27, 291, 630, 32, 668, 1103, 280, 34031 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 5, 5, 4, 4, 7, 6, 7, 5, 6, 6, 6, 1, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 0, 1, 1, 1, 1, 5, 4, 4, 6, 7, 7, 5, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 8, 9, 9, 7, 8, 7, 8, 7, 7, 7, 7, 8, 8, 7, 7, 8, 7, 1, 2, 2, 2, 2, 2, 4, 5, 5, 6, 5, 5, 5, 5, 6, 6, 5, 4, 4, 6, 9, 10, 10, 8, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 11, 11, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 10, 9, 10, 9, 10, 10, 9, 9, 10, 10, 9, 4, 4, 8, 9, 9, 9, 7, 8, 8, 7, 10, 9, 10, 9, 10, 10, 9, 9, 10, 10, 9, 4, 4, 8, 9, 9, 9, 7, 8, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 10, 9, 10, 9, 10, 10, 9, 9, 10, 10, 9, 4, 4, 8, 9, 9, 7, 8, 8, 7, 10, 9, 10, 9, 10, 10, 9, 9, 10, 10, 9, 4, 4, 8, 9, 9, 7, 8, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 1, 2, 3, 3, 3, 3, 3, 0, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 2, 0, 0 ]
[ 465, 1133, 203, 1070, 3619, 39, 37, 36, 1356, 32, 91, 36, 85, 1188, 319, 203, 1070, 3619, 39, 37, 36, 1356, 32, 1744, 1188, 319, 203, 1070, 3619, 39, 37, 36, 1356, 32, 9777, 1188, 319, 203, 823, 489, 5308, 8231, 499, 664, 665, 1156, 1664, 3207, 784, 27, 499, 1568, 630, 32, 2294, 383, 280, 3177, 351, 1568, 630, 32, 7595, 280, 1605, 1568, 630, 32, 32100, 280, 3177, 1568, 630, 32, 2500, 2294, 266, 280, 1665, 1568, 630, 32, 2500, 2294, 541, 280, 1665, 1568, 630, 32, 7547, 39, 37, 36, 280, 447, 96, 39, 37, 36, 81, 91, 36, 85, 346, 1568, 630, 32, 7547, 39, 37, 36, 32, 28134, 7799, 346, 664, 665, 3909, 5411, 26, 784, 30, 2500, 2294, 266, 280, 1665, 30, 2500, 2294, 541, 280, 1665, 711, 1568, 630, 32, 2500, 2294, 266, 280, 6596, 2294, 266, 1568, 630, 32, 2500, 2294, 541, 280, 6596, 2294, 541, 664, 665, 617, 16530, 81, 1890, 26, 784, 30, 1890, 27, 499, 1568, 442, 12373, 610, 630, 32, 7547, 39, 37, 36, 32, 371, 81, 1890, 346, 461, 12373, 610, 630, 32, 7547, 39, 37, 36, 32, 371, 81, 1890, 346, 664, 665, 4719, 26, 784, 27, 499, 1568, 630, 32, 32100, 280, 2933, 664, 665, 1477, 26, 784, 27, 499, 351, 1568, 1459, 2884, 64, 5308, 16638, 7307, 657, 1568, 2218, 646, 630, 32, 32100, 499, 1468, 2607, 12373, 280, 630, 32, 7547, 39, 37, 36, 32, 371, 81, 1890, 346, 2607, 415, 12373, 610, 630, 32, 7595, 499, 2850, 1802, 1133, 32, 7840, 26, 34, 32, 36, 27, 20716, 2607, 4348, 12373, 461, 630, 1114, 16530, 81, 1890, 26, 1890, 27, 499, 423, 400, 1459, 2884, 1812, 10427, 6043, 1558, 392, 1890, 27, 400, 630, 32, 7595, 280, 12373, 400, 415, 646, 630, 32, 2294, 383, 499, 528, 630, 32, 2294, 383, 280, 2933, 263, 400, 415, 630, 32, 2500, 2294, 266, 499, 630, 32, 2500, 2294, 266, 26, 784, 32, 7595, 27, 2607, 4348, 646, 12373, 461, 630, 32, 2294, 383, 461, 630, 1114, 16530, 81, 1890, 26, 1890, 711, 12740, 1750, 1459, 2884, 3588, 26396, 225, 36, 392, 784, 32, 7595, 27, 1750, 11171, 280, 630, 32, 7595, 1750, 630, 32, 7595, 280, 1665, 1750, 630, 32, 2294, 383, 280, 3177, 6019, 1750, 415, 630, 32, 2500, 2294, 541, 499, 630, 32, 2500, 2294, 541, 26, 6572, 27, 203, 64, 5308, 280, 489, 5308, 8231, 346, 203, 64, 5308, 32, 1366, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 3, 7, 8, 8, 6, 6, 4, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 9, 9, 9, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 6, 6, 6, 5, 5, 4, 6, 6, 6, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 3, 5, 7, 7, 10, 11, 11, 11, 11, 9, 10, 10, 10, 9, 6, 6, 7, 7, 10, 11, 11, 11, 11, 9, 10, 10, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 3, 3, 6, 9, 9, 9, 9, 9, 4, 4, 5, 6, 7, 8, 5, 5, 5, 5, 8, 8, 11, 12, 12, 12, 12, 10, 11, 11, 11, 10, 6, 6, 7, 8, 8, 9, 10, 7, 7, 7, 7, 11, 12, 11, 12, 12, 12, 11, 7, 7, 7, 8, 9, 9, 11, 12, 12, 12, 11, 12, 11, 8, 8, 8, 8, 11, 14, 14, 14, 14, 14, 13, 12, 9, 9, 12, 13, 11, 11, 9, 9, 10, 11, 12, 13, 13, 10, 10, 10, 14, 15, 15, 13, 13, 9, 9, 9, 10, 11, 12, 12, 12, 10, 10, 14, 15, 15, 15, 14, 16, 15, 16, 14, 7, 7, 8, 11, 10, 10, 11, 12, 12, 9, 9, 11, 12, 12, 12, 11, 12, 11, 8, 8, 8, 11, 14, 14, 14, 14, 14, 14, 13, 14, 12, 9, 9, 11, 11, 12, 13, 9, 9, 12, 13, 11, 11, 9, 9, 12, 13, 13, 11, 11, 9, 9, 9, 10, 11, 12, 12, 12, 10, 10, 14, 15, 15, 15, 14, 15, 14, 0, 3, 3, 2, 2, 4, 4, 4, 0, 4, 4, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 1, 2, 3, 3, 0, 4, 4, 1, 1, 4, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 2, 1, 3, 3, 1, 1, 2, 1, 2, 0, 0, 0, 3, 3, 2, 0, 0, 0, 5, 5, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 2, 1, 1, 1, 2, 1, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 3, 3, 3, 2, 1, 2, 3, 3, 3, 0, 2, 0, 0, 3, 3, 4, 2, 1, 2, 4, 4, 4, 4, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 4, 0, 1, 1, 1, 1, 2, 3, 1, 3, 3, 0, 2, 0, 0, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 3, 3, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 5, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 2, 0, 3, 2, 1, 3, 3, 0, 0, 2, 2, 3, 3, 0, 2, 0, 0, 3, 3, 0, 2, 2, 0, 0, 3, 3, 3, 4, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 14735, 1188, 16868, 203, 465, 485, 716, 619, 1156, 30324, 203, 465, 485, 1473, 619, 1156, 89, 1473, 203, 465, 485, 1473, 1114, 89, 1473, 619, 1156, 89, 1473, 505, 89, 1473, 203, 465, 298, 4614, 619, 1156, 98, 4614, 203, 465, 298, 742, 542, 30543, 619, 1156, 98, 742, 542, 30543, 203, 823, 8922, 4064, 89, 1473, 32, 57, 44466, 711, 284, 665, 1351, 81, 2273, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 1351, 81, 12079, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 1351, 81, 1644, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 5040, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 1447, 10704, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 622, 81, 2751, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 622, 81, 426, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 2384, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 804, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 9413, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 802, 81, 2273, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 802, 81, 12079, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 802, 81, 1644, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 1861, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 4456, 3097, 284, 619, 2460, 280, 2804, 26, 5962, 630, 44, 1300, 1026, 9254, 630, 30, 354, 44, 1665, 30, 9254, 630, 44, 1665, 27, 10065, 5585, 304, 280, 2804, 26, 5962, 630, 44, 1300, 1026, 9254, 630, 30, 354, 44, 1665, 30, 9254, 630, 44, 1665, 27, 10065, 827, 280, 2804, 26, 5962, 630, 44, 1300, 1026, 9254, 630, 30, 354, 44, 1665, 30, 9254, 630, 44, 1665, 27, 10065, 1156, 89, 681, 505, 280, 1665, 225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 4, 2, 2, 3, 0, 1, 1, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 4, 2, 2, 3, 3, 0, 1, 1, 4, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 5, 4, 4, 6, 7, 7, 7, 7, 9, 6, 7, 8, 8, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 5, 4, 4, 6, 7, 7, 7, 7, 9, 6, 7, 8, 8, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 7, 9, 6, 7, 8, 8, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 3, 3, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 4, 4, 0, 1, 1, 2, 2, 0, 5, 5, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 6, 6, 2, 0, 0, 1, 2, 2, 2, 6, 6, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 3, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 4, 4, 4, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 4, 4, 5, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 5, 5, 4, 4, 6, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 6, 6, 4, 4, 7, 2, 1, 2, 2, 1, 2, 2, 1, 2, 7, 7, 4, 4, 8, 2, 1, 2, 2, 1, 2, 2, 1, 2, 8, 8, 4, 4, 9, 2, 1, 2, 2, 1, 2, 2, 1, 2, 9, 9, 4, 4, 10, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 10, 10, 4, 4, 11, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 11, 11, 4, 4, 12, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 12, 12, 4, 4, 13, 2, 1, 2, 2, 1, 2, 2, 1, 2, 13, 13, 4, 4, 14, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 14, 14, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 5, 5, 5, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 5, 5, 5, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 5, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 30, 5237, 203, 465, 816, 84, 6053, 30, 816, 84, 6053, 16662, 30, 816, 84, 6053, 2796, 30, 816, 84, 6053, 8463, 30, 816, 12318, 4126, 2548, 203, 465, 5592, 32, 48609, 32, 1308, 3350, 619, 5592, 3242, 203, 1070, 27374, 1188, 1459, 81, 14806, 203, 1070, 22045, 32, 2208, 1188, 707, 7345, 203, 1070, 6086, 32, 1356, 32, 2282, 1188, 319, 203, 823, 7679, 1083, 10905, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 456, 681, 711, 291, 630, 32, 94, 681, 280, 456, 681, 284, 665, 617, 944, 81, 7004, 26, 630, 8063, 291, 415, 630, 32, 94, 681, 32, 15990, 463, 5000, 7831, 324, 2684, 983, 280, 2322, 32, 983, 32, 2524, 26, 4040, 4065, 1717, 313, 1698, 271, 3201, 32, 2593, 20, 829, 291, 813, 44, 324, 2684, 983, 280, 2322, 32, 983, 32, 2524, 26, 4040, 4065, 1717, 313, 15741, 7004, 32, 2593, 20, 829, 291, 1596, 44, 324, 4345, 280, 5592, 3242, 32, 2208, 26, 2684, 983, 829, 324, 442, 4345, 291, 2940, 44, 324, 442, 1665, 284, 665, 8778, 19048, 26, 630, 30, 5750, 8063, 291, 4345, 280, 630, 1114, 944, 81, 7004, 346, 291, 1401, 882, 280, 2933, 291, 415, 5750, 77, 225, 34, 1481, 610, 313, 3323, 1311, 563, 324, 5750, 77, 225, 34, 1481, 280, 313, 1311, 20, 291, 415, 5750, 77, 225, 34, 1481, 863, 313, 3855, 563, 324, 40350, 280, 4345, 32, 371, 2388, 922, 1809, 26, 313, 8933, 20, 6804, 32852, 26, 313, 2872, 20, 829, 324, 436, 10313, 328, 40350, 44, 400, 415, 10313, 32, 22765, 32, 371, 26, 313, 426, 20, 829, 610, 5750, 77, 225, 34, 1481, 44, 528, 2530, 280, 816, 84, 6053, 32, 371, 24225, 652, 26, 629, 26, 10313, 32, 1809, 26, 313, 1172, 20, 6804, 878, 829, 829, 291, 813, 44, 324, 2530, 280, 816, 84, 6053, 32, 371, 24225, 652, 26, 225, 39, 43, 34, 829, 291, 6983, 280, 1665, 291, 40350, 280, 4345, 32, 371, 2388, 922, 1809, 26, 313, 39120, 20, 6804, 32852, 26, 313, 681, 20, 829, 291, 436, 10313, 328, 40350, 44, 324, 415, 10313, 32, 878, 610, 5750, 77, 225, 35, 1481, 44, 400, 6983, 280, 816, 84, 6053, 32, 371, 24225, 652, 26, 629, 26, 10313, 32, 22765, 32, 371, 26, 313, 1172, 20, 829, 829, 829, 400, 6983, 1402, 280, 5750, 77, 225, 35, 1481, 291, 415, 6983, 438, 1665, 44, 324, 6983, 280, 816, 84, 6053, 32, 371, 24225, 652, 26, 629, 26, 4345, 32, 371, 2388, 922, 1809, 26, 313, 39120, 20, 6804, 1809, 26, 313, 681, 20, 6804, 22765, 32, 371, 26, 313, 1172, 20, 829, 829, 829, 324, 6983, 1402, 280, 4345, 32, 371, 2388, 922, 1809, 26, 313, 39120, 20, 6804, 1809, 26, 313, 681, 20, 6804, 878, 291, 442, 428, 428, 2530, 30, 5750, 77, 225, 34, 1481, 2505, 428, 6983, 30, 6983, 1402, 1481, 1481, 284, 665, 2503, 19048, 26, 630, 30, 2125, 1215, 711, 291, 1596, 44, 324, 4345, 280, 5592, 3242, 32, 2208, 26, 707, 7345, 26, 1141, 1215, 27, 829, 324, 3051 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 8, 9, 9, 7, 8, 7, 9, 9, 5, 5, 9, 8, 8, 11, 12, 10, 11, 10, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 10, 5, 5, 6, 6, 6, 10, 9, 9, 12, 13, 11, 12, 11, 11, 12, 11, 11, 13, 13, 13, 13, 13, 11, 4, 4, 5, 5, 5, 8, 8, 11, 10, 11, 10, 10, 11, 10, 6, 6, 7, 5, 5, 6, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 4, 4, 5, 7, 7, 8, 7, 6, 6, 8, 8, 8, 5, 5, 9, 9, 10, 9, 8, 8, 10, 10, 4, 4, 5, 7, 7, 8, 7, 6, 6, 8, 8, 5, 5, 8, 8, 14, 15, 15, 14, 13, 12, 12, 14, 14, 12, 11, 10, 10, 12, 12, 10, 6, 6, 7, 7, 7, 7, 7, 7, 9, 13, 14, 12, 13, 12, 12, 14, 14, 12, 10, 10, 11, 11, 12, 11, 9, 9, 9, 12, 12, 15, 15, 14, 15, 15, 15, 14, 14, 16, 16, 19, 20, 19, 19, 21, 21, 19, 18, 16, 14, 5, 5, 6, 6, 6, 9, 9, 12, 12, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 4, 4, 6, 6, 4, 4, 6, 6, 12, 13, 13, 12, 11, 10, 10, 12, 12, 10, 9, 8, 8, 10, 10, 8, 4, 4, 5, 5, 5, 5, 5, 5, 7, 9, 10, 8, 8, 9, 9, 10, 9, 7, 7, 7, 10, 10, 13, 13, 12, 13, 13, 13, 12, 12, 14, 14, 17, 18, 16, 17, 16, 16, 18, 18, 16, 14, 12, 8, 8, 11, 10, 10, 11, 11, 12, 11, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 11, 11, 10, 11, 11, 11, 10, 10, 12, 12, 21, 22, 22, 21, 20, 19, 19, 21, 21, 19, 18, 17, 17, 19, 19, 17, 16, 14, 15, 14, 14, 16, 16, 14, 12, 10, 6, 6, 9, 8, 8, 15, 16, 16, 15, 14, 13, 13, 15, 15, 13, 12, 11, 11, 13, 13, 11, 10, 4, 4, 5, 6, 7, 7, 7, 8, 8, 9, 8, 7, 6, 7, 7, 7, 8, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 11, 10, 11, 10, 10, 12, 12, 13, 13, 12, 10, 6, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 4, 4, 1, 1, 2, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 3, 0, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 4, 4, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 4, 4, 3, 0, 0, 2, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 4, 4, 6, 6, 6, 6, 6, 6, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 4, 4, 7, 1, 1, 7, 7, 7, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 4, 4, 8, 1, 1, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 3, 1, 2, 2, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2 ]
[ 1070, 12460, 1188, 12460, 203, 465, 17787, 203, 465, 2322, 203, 465, 5237, 203, 823, 38310, 15556, 1572, 26, 1473, 711, 284, 22334, 81, 12825, 280, 313, 3374, 81, 2956, 20, 284, 665, 1156, 1664, 3207, 784, 30, 7842, 30, 8752, 47, 2521, 30, 11758, 47, 2521, 30, 883, 81, 2956, 47, 2521, 30, 353, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 14458, 280, 2149, 291, 415, 883, 81, 2956, 438, 1665, 44, 324, 883, 81, 2956, 280, 630, 32, 16819, 81, 12825, 291, 630, 32, 3374, 81, 2956, 280, 883, 81, 2956, 291, 24390, 280, 2322, 32, 33115, 346, 291, 8752, 81, 983, 280, 3330, 291, 415, 8752, 44, 324, 8752, 81, 983, 280, 2322, 32, 983, 32, 2524, 33381, 2425, 32, 2998, 5791, 14036, 474, 2322, 32, 12595, 291, 436, 1519, 328, 7842, 44, 324, 2322, 32, 31015, 26, 983, 27, 4288, 5237, 32, 983, 32, 3215, 26, 34, 30, 1519, 27, 324, 1596, 44, 400, 10306, 1365, 4018, 1446, 280, 630, 400, 436, 803, 81, 426, 328, 12460, 26, 2425, 81, 983, 474, 39395, 978, 10280, 528, 415, 803, 81, 426, 32, 15990, 27176, 10280, 715, 4036, 528, 2047, 81, 983, 280, 803, 81, 426, 77, 34, 5979, 37, 79, 528, 2047, 81, 426, 280, 2047, 81, 983, 32, 3227, 26, 500, 32, 12595, 30, 4939, 657, 528, 2047, 280, 1156, 465, 3207, 1803, 81, 426, 30, 645, 668, 6020, 1010, 1130, 528, 8999, 280, 17787, 32, 371, 7910, 26, 1803, 30, 17787, 32, 297, 823, 27, 528, 12841, 34, 81, 1536, 280, 1665, 528, 415, 2069, 26, 7910, 27, 610, 225, 35, 44, 715, 12841, 34, 81, 1536, 280, 2322, 32, 983, 32, 15705, 26, 1803, 81, 983, 27, 528, 436, 1202, 30, 281, 328, 8999, 44, 715, 415, 1346, 2009, 32110, 26, 85, 30, 312, 30, 1665, 27, 438, 1665, 436, 312, 328, 11758, 10794, 1014, 4036, 715, 4899, 280, 1665, 715, 12841, 34, 280, 18623, 26, 85, 30, 313, 36794, 392, 12841, 34, 81, 1536, 27, 715, 43255, 280, 1605, 715, 415, 12841, 34, 438, 646, 1665, 44, 1014, 43255, 280, 428, 13627, 34, 79, 715, 436, 12841, 328, 18623, 26, 85, 30, 313, 20856, 4547, 940, 392, 43255, 711, 1014, 415, 630, 32, 14458, 32, 2040, 81, 678, 26, 13627, 711, 1378, 3636, 10091, 26, 85, 27, 23285, 10306, 1365, 4018, 1446, 280, 630, 1014, 415, 4899, 438, 1665, 44, 1378, 4899, 280, 281, 2740, 1132, 30, 1115, 5321, 27, 1014, 630, 32, 14458, 77, 13627, 79, 280, 4899, 324, 8295, 44, 400, 2322, 32, 31015, 26, 15598, 27, 400, 5237, 32, 983, 32, 3235, 26, 34, 27, 284, 665, 622, 81, 4531, 26, 784, 30, 12841, 711, 291, 1596, 44, 324, 415, 630, 32, 14458, 32, 2040, 81, 678, 26, 13627, 711, 400, 442, 630, 32, 14458, 77, 13627, 79, 291, 2940, 12678, 44, 324, 3097, 284, 665, 11089, 81, 4531, 26, 784, 30, 1623, 711, 291, 4899, 280, 630, 32, 371, 81, 4531, 26, 1094, 27, 291, 415, 4899, 44, 324, 442, 4899, 291, 436, 4899, 328, 630, 32, 14458, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 9, 9, 8, 8, 9, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 9, 9, 8, 8, 12, 13, 11, 12, 11, 16, 15, 16, 15, 17, 9, 9, 10, 11, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 9, 10, 9, 6, 6, 10, 11, 9, 10, 9, 10, 9, 9, 9, 6, 6, 7, 7, 7, 11, 13, 13, 10, 10, 8, 8, 9, 10, 10, 9, 9, 11, 13, 13, 13, 12, 12, 14, 14, 9, 9, 11, 14, 14, 13, 14, 13, 15, 11, 11, 10, 10, 13, 13, 12, 12, 14, 14, 13, 15, 14, 16, 13, 10, 10, 13, 13, 12, 12, 15, 15, 14, 15, 14, 16, 15, 16, 14, 14, 16, 10, 10, 12, 12, 14, 14, 15, 15, 15, 14, 14, 16, 15, 18, 16, 10, 10, 12, 12, 14, 15, 15, 14, 15, 14, 14, 15, 16, 16, 14, 10, 10, 13, 13, 13, 12, 12, 10, 10, 11, 14, 15, 14, 12, 12, 13, 11, 11, 11, 15, 15, 15, 14, 14, 17, 18, 16, 17, 16, 17, 17, 17, 16, 10, 10, 11, 12, 12, 11, 11, 11, 11, 11, 13, 15, 19, 19, 20, 19, 19, 19, 19, 19, 17, 17, 16, 17, 17, 17, 16, 13, 13, 12, 12, 14, 14, 12, 12, 15, 14, 14, 16, 17, 16, 16, 18, 18, 16, 17, 17, 17, 16, 12, 12, 14, 14, 12, 12, 13, 15, 14, 14, 14, 13, 13, 13, 16, 16, 18, 18, 17, 12, 12, 13, 13, 13, 15, 16, 15, 15, 17, 17, 17, 17, 15, 15, 13, 13, 15, 18, 19, 17, 18, 18, 18, 17, 18, 17, 15, 15, 17, 19, 20, 19, 14, 14, 17, 19, 19, 16, 16, 14, 14, 15, 16, 16, 15, 15, 15, 18, 18, 20, 22, 20, 20, 22, 20, 14, 14, 18, 19, 17, 18, 17, 16, 16, 7, 7, 8, 8, 8, 12, 13, 12, 13, 12, 9, 9, 13, 14, 12, 13, 12, 13, 12, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 10, 11, 9, 10, 10, 10, 9, 10, 9, 7, 7, 9, 11, 12, 10, 11, 10, 5, 5, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 7, 4, 4, 5, 5, 5, 8, 9, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 5, 5, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 0, 2, 1, 1, 1, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 3, 0, 2, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 5, 5, 6, 1, 1, 1, 1, 1, 2, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 7, 1, 1, 7, 7, 7, 7, 7, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 5, 5, 5, 1, 5, 5, 0, 0, 5, 5, 4, 0, 1, 1, 1, 4, 4, 4, 0, 0, 1, 1, 2, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 5, 5, 0, 1, 2, 0, 0, 5, 5, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 0, 2, 0, 0, 0, 2, 2, 3, 3, 3, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 3, 3, 3, 3, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 4, 4, 2, 2, 2, 0, 2, 0 ]
[ 465, 7744, 203, 465, 27847, 348, 32, 1567, 203, 1070, 323, 13035, 32, 374, 874, 32, 2304, 1188, 2179, 7697, 4494, 203, 1070, 24200, 32, 8776, 292, 2516, 32, 1567, 1188, 2194, 13750, 1151, 203, 1070, 24200, 32, 3103, 56, 2852, 32, 11199, 2852, 1188, 21285, 984, 203, 1070, 24200, 32, 3103, 56, 1822, 658, 32, 2304, 1188, 617, 47993, 30278, 203, 589, 1487, 81, 11382, 26, 1819, 30, 2719, 30, 11659, 30, 1426, 449, 81, 4151, 711, 284, 10153, 81, 6565, 280, 1619, 32, 84, 13035, 81, 5522, 32, 18742, 10553, 11199, 3990, 346, 284, 9209, 280, 617, 47993, 30278, 440, 9745, 392, 1619, 30, 11659, 27, 284, 9209, 32, 470, 1183, 26, 2122, 27, 284, 9209, 32, 470, 1646, 449, 4140, 26, 1146, 449, 81, 4151, 27, 284, 9209, 32, 27267, 1043, 12759, 26, 2122, 32, 23769, 1043, 12759, 1157, 284, 9209, 32, 311, 1826, 12608, 5260, 346, 284, 9209, 32, 268, 1055, 959, 346, 284, 27847, 348, 32, 1567, 32, 9353, 26, 959, 13750, 1151, 26, 11382, 490, 284, 1596, 44, 291, 10153, 81, 1141, 280, 225, 330, 22979, 81, 9874, 25, 415, 10153, 81, 6565, 766, 324, 813, 330, 1347, 81, 22979, 81, 9874, 25, 291, 1619, 32, 10802, 81, 9874, 32, 1409, 1711, 1562, 26, 11382, 30, 10153, 81, 1141, 27, 284, 2940, 21285, 984, 44, 291, 3097, 284, 442, 9209, 203, 589, 622, 81, 1333, 12548, 81, 17980, 26, 10125, 81, 853, 711, 284, 1596, 44, 291, 12738, 81, 853, 280, 1897, 26, 10125, 81, 853, 27, 284, 2940, 10091, 44, 291, 442, 1665, 284, 415, 12738, 81, 853, 610, 225, 34, 44, 291, 442, 225, 34, 284, 14724, 81, 15125, 280, 629, 26, 3812, 32, 9121, 26, 3812, 32, 751, 35, 34, 26, 3596, 26, 10125, 81, 853, 7748, 284, 442, 225, 34, 415, 14724, 81, 15125, 848, 225, 34, 813, 11366, 26, 1333, 12548, 81, 15125, 27, 203, 589, 2179, 81, 956, 581, 24933, 26, 11382, 30, 1056, 30, 10245, 1826, 1057, 6418, 2197, 5722, 269, 47, 35, 711, 291, 1596, 44, 291, 1056, 280, 1897, 26, 1267, 27, 284, 2940, 10091, 44, 291, 442, 3330, 284, 2830, 575, 280, 1665, 284, 1596, 44, 291, 2830, 575, 280, 1897, 26, 11382, 32, 23965, 1157, 284, 2940, 10091, 44, 291, 3097, 284, 2719, 280, 9209, 32, 25455, 346, 284, 42970, 280, 1665, 284, 415, 1056, 610, 2830, 575, 44, 291, 588, 351, 42970, 280, 9209, 32, 36167, 6989, 24933, 346, 284, 813, 44, 291, 42970, 280, 9209, 32, 36167, 6989, 24933, 26, 1267, 27, 284, 415, 42970, 438, 1665, 556, 42970, 610, 225, 34, 44, 291, 442, 3330, 284, 588, 264, 588, 264, 10084, 280, 2719, 32, 371, 29562, 564, 2207, 20398, 346, 284, 588, 264, 6915, 81, 17980, 280, 622, 81, 1333, 12548, 81, 17980, 26, 1267, 27, 284, 11003, 280, 6915, 81, 17980, 333, 225, 34, 284, 2596, 280, 20514, 415, 11003, 813, 4247, 284, 6915, 81, 17980, 280, 11366, 26, 4994, 81, 17980, 27, 284, 46846, 280, 6915, 81, 17980, 2377, 10084, 461, 6915, 81, 17980, 848, 225, 34, 284, 14186, 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, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 8, 8, 8, 6, 7, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 8, 8, 6, 6, 6, 6, 2, 2, 5, 6, 6, 5, 6, 5, 2, 2, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 6, 6, 5, 8, 7, 8, 8, 8, 7, 2, 2, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 6, 6, 5, 2, 2, 7, 6, 7, 5, 6, 5, 7, 7, 7, 7, 8, 7, 2, 2, 3, 3, 3, 7, 7, 6, 6, 6, 9, 9, 9, 9, 7, 7, 8, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 9, 9, 7, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 3, 3, 4, 5, 4, 4, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 3, 3, 4, 4, 4, 4, 6, 2, 2, 3, 5, 5, 4, 4, 5, 3, 3, 3, 5, 6, 2, 2, 5, 5, 4, 4, 6, 9, 8, 9, 8, 11, 10, 11, 11, 11, 10, 12, 12, 13, 13, 13, 12, 2, 2, 3, 5, 4, 4, 6, 6, 5, 5, 6, 4, 4, 6, 7, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 3, 5, 2, 4, 4, 3, 4, 2, 1, 1, 2, 1, 1, 4, 4, 6, 7, 6, 0, 0, 0, 2, 2, 2, 2, 0, 0, 3, 2, 2, 0, 0, 1, 1, 1, 5, 4, 4, 6, 9, 8, 9, 8, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 4, 5, 4, 0, 0, 2, 2, 0, 0, 1, 2, 2, 3, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 4, 4, 4, 6, 7, 7, 7, 6, 7, 6, 2, 2, 3, 5, 5, 4, 4, 5, 5, 6, 3, 3, 3, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 6, 6, 5, 5, 6, 2, 2, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 6, 6, 5, 5, 7, 7, 6, 6, 7, 2, 2, 4 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 2, 2, 1, 4, 4, 4, 4, 0, 0, 5, 5, 1, 2, 2, 2, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 7, 2, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 4, 4, 8, 8, 8, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 8, 8, 3, 1, 3, 3, 3, 4, 4, 9, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 3, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 5, 1, 2, 0, 0, 7, 2, 2, 8, 8, 4, 8, 8, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 1, 0, 0, 2, 1, 12, 12, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 15, 1, 1, 2, 15, 15, 15, 3, 3, 3, 3, 3, 3, 3, 3, 3, 15, 15, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0 ]
[ 465, 5167, 203, 43025, 280, 36337, 710, 2121, 4902, 96, 867, 678, 785, 203, 853, 280, 36337, 710, 2132, 4902, 695, 785, 203, 7241, 280, 36337, 710, 2132, 4902, 4215, 785, 203, 13610, 280, 36337, 710, 2132, 4902, 359, 785, 203, 15260, 1112, 280, 36337, 710, 2121, 4902, 15260, 1112, 785, 203, 325, 9313, 610, 17281, 1112, 44, 203, 202, 965, 280, 330, 641, 555, 96, 867, 725, 32, 508, 33, 1237, 33, 4390, 483, 7404, 474, 596, 26, 13610, 27, 474, 3056, 24109, 3009, 25, 203, 202, 100, 47, 5167, 32, 1526, 26, 965, 30, 3796, 4310, 43025, 30, 12304, 6144, 47, 2700, 30, 706, 47, 3447, 853, 563, 853, 1748, 203, 202, 1216, 540, 32, 878, 203, 1824, 44, 203, 202, 1216, 313, 26643, 29989, 29989, 19, 2448, 9075, 1330, 7617, 322, 17281, 3594, 11555, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 6, 6, 5, 5, 5, 5, 0, 3, 2, 2, 4, 6, 6, 5, 5, 0, 3, 2, 2, 4, 6, 6, 5, 5, 0, 3, 2, 2, 4, 6, 6, 5, 5, 0, 3, 3, 2, 2, 4, 6, 6, 5, 5, 5, 0, 1, 1, 2, 2, 3, 1, 1, 1, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 5, 5, 7, 7, 7, 2, 2, 5, 4, 4, 6, 7, 6, 7, 6, 6, 7, 9, 8, 8, 6, 7, 8, 6, 6, 7, 7, 11, 11, 10, 8, 2, 2, 3, 3, 4, 5, 1, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 6, 6, 1, 1, 2, 6, 6, 6, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 5, 2, 1, 1, 7, 7, 1, 2, 2, 2, 3, 3, 2, 2, 1, 2, 6, 4, 4, 4, 4, 0, 0, 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 ]
[ 465, 2361, 203, 465, 1133, 203, 1070, 8527, 32, 2387, 1188, 4448, 1222, 203, 1070, 8527, 32, 36287, 1188, 2908, 81, 452, 81, 1986, 203, 1070, 15332, 32, 3378, 1188, 319, 203, 1070, 35566, 1578, 32, 3378, 1188, 319, 203, 1070, 35566, 1578, 32, 1237, 1188, 319, 203, 1070, 12266, 32, 3378, 1188, 488, 31553, 6301, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 1262, 32, 2200, 1188, 10869, 81, 33914, 203, 1070, 8527, 32, 525, 1188, 17874, 11445, 30, 17874, 30, 4688, 38, 34, 38, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 9618, 203, 1070, 8527, 32, 1262, 32, 2613, 1188, 3320, 203, 1070, 8527, 32, 2387, 32, 1536, 9211, 1188, 17310, 1147, 203, 589, 2519, 81, 26257, 81, 10676, 81, 34465, 26, 1357, 711, 284, 8206, 280, 2149, 284, 8206, 710, 6528, 81, 998, 785, 280, 390, 7964, 8357, 32, 5740, 32, 2029, 26, 681, 347, 4146, 1895, 998, 346, 284, 8206, 710, 1877, 81, 998, 785, 280, 4000, 32, 5740, 32, 2029, 26, 6528, 505, 681, 347, 4146, 1895, 998, 346, 284, 22254, 280, 2149, 284, 22254, 710, 6528, 81, 998, 785, 280, 390, 7964, 8357, 32, 5740, 32, 2029, 26, 681, 347, 9545, 1895, 998, 346, 284, 22254, 710, 1877, 81, 998, 785, 280, 4000, 32, 5740, 32, 2029, 26, 6528, 505, 681, 347, 9545, 1895, 998, 346, 284, 2401, 81, 1877, 280, 390, 7964, 8357, 32, 5740, 32, 2029, 26, 2135, 81, 1877, 505, 45087, 47, 2700, 547, 1174, 81, 1170, 12605, 2135, 81, 1877, 11968, 34, 997, 2135, 81, 1877, 284, 2181, 280, 5436, 26, 4148, 47, 4148, 30, 22254, 47, 4342, 30, 2401, 81, 1877, 47, 2135, 81, 1877, 27, 284, 442, 2908, 81, 452, 81, 1986, 463, 43328, 1578, 33, 16142, 81, 10676, 81, 34465, 32, 916, 370, 2181, 30, 4985, 1619, 81, 2386, 47, 39034, 26, 1357, 490, 203, 589, 15133, 81, 2342, 81, 1357, 26, 1357, 711, 284, 345, 13394, 81, 668, 280, 1605, 284, 436, 345, 13394, 328, 488, 31553, 6301, 32, 5740, 32, 464, 2262, 291, 345, 13394, 81, 668, 32, 1689, 1162, 3448, 91, 32, 314, 30, 345, 13394, 32, 426, 490, 284, 2181, 280, 5436, 26, 3448, 91, 81, 1260, 47, 1260, 32, 16958, 26, 3448, 91, 81, 668, 30, 7279, 81, 14510, 47, 2700, 490, 284, 442, 2908, 81, 452, 81, 1986, 463, 43328, 1578, 33, 16142, 81, 2342, 81, 1357, 32, 916, 370, 2181, 30, 4985, 1619, 81, 2386, 47, 39034, 26, 1357, 490, 203, 589, 617, 10261, 81, 19448, 81, 6446, 26, 38186, 30, 345, 13394, 47, 2521, 711, 284, 3320, 81, 678, 280, 330, 9744, 81, 16855, 25, 284, 415, 345, 13394, 44, 291, 3320, 81, 678, 1454, 7610, 23, 86, 25, 904, 345, 13394, 32, 3174, 284, 2152, 280, 3320, 32, 371, 26, 2613, 81, 678, 27, 284, 415, 2152, 44, 291, 442, 2152, 284, 23912, 81, 668, 81, 1439, 280, 39156, 25113, 32, 5740, 32, 2029, 26, 16142, 505, 38186, 47, 38186, 27, 284, 415, 345, 13394, 44, 291, 23912, 81, 668, 280, 23912, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 7, 7, 7, 7, 4, 4, 10, 10, 9, 10, 8, 9, 8, 10, 9, 11, 11, 7, 6, 2, 2, 5, 7, 7, 7, 7, 4, 4, 9, 10, 8, 9, 8, 10, 10, 10, 9, 11, 11, 7, 6, 2, 2, 4, 4, 2, 2, 5, 7, 7, 7, 7, 4, 4, 10, 10, 9, 10, 8, 9, 8, 10, 9, 11, 11, 7, 6, 2, 2, 5, 7, 7, 7, 7, 4, 4, 9, 10, 8, 9, 8, 10, 10, 10, 9, 11, 11, 7, 6, 2, 2, 5, 5, 4, 4, 12, 12, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 11, 12, 10, 9, 9, 9, 8, 10, 10, 10, 10, 7, 6, 6, 6, 6, 2, 2, 4, 4, 6, 8, 7, 8, 6, 6, 7, 8, 6, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 3, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 7, 6, 8, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 3, 4, 3, 3, 7, 7, 6, 7, 5, 6, 5, 3, 3, 8, 8, 8, 7, 8, 7, 10, 10, 9, 10, 8, 8, 10, 9, 10, 8, 2, 2, 4, 4, 6, 8, 8, 8, 8, 7, 10, 9, 10, 9, 10, 10, 10, 10, 9, 9, 11, 11, 10, 11, 9, 2, 2, 3, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 7, 6, 8, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 3, 3, 3, 7, 7, 6, 6, 9, 9, 9, 7, 7, 9, 8, 9, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 3, 3, 3, 3, 5, 2, 2, 5, 5, 5, 5, 4, 4, 8, 7, 8, 6, 7, 6, 8, 8, 8, 7, 8, 6, 2, 2, 3, 4, 3, 3, 3, 7, 7, 6, 6, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 4, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 10, 10, 0, 10, 10, 10, 10, 0, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 13, 13, 1, 2, 1, 4, 4, 13, 13, 0, 0, 14, 14, 1, 1, 1, 1, 1, 1, 2, 1, 2, 14, 14, 0, 0, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 0, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 8, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 5, 0, 1, 1, 1, 0, 15, 15, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 3, 2, 1, 4, 4, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 5, 0, 1, 1, 1, 0, 16, 16, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 16, 16, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 5, 1, 5, 5, 5, 0, 0, 0, 0, 0 ]
[ 1070, 31074, 1188, 19818, 639, 203, 589, 617, 4765, 81, 823, 26, 426, 30, 11758, 711, 284, 443, 81, 280, 827, 26, 426, 30, 308, 1473, 28020, 301, 2437, 44, 1665, 436, 5601, 328, 11758, 1748, 284, 443, 3133, 505, 18645, 505, 280, 11758, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 436, 5601, 30, 909, 328, 19818, 639, 26, 784, 3667, 18645, 7642, 2181, 711, 324, 39506, 26, 784, 30, 5601, 30, 909, 27, 291, 436, 831, 30, 354, 328, 10306, 32, 40957, 2262, 324, 415, 831, 646, 328, 630, 3667, 18645, 26927, 400, 3636, 10091, 4912, 101, 499, 8073, 3879, 20, 904, 831, 27, 324, 39506, 26, 784, 30, 831, 30, 354, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 309, 280, 3003, 4939, 2524, 440, 26328, 2524, 1162, 83, 30, 26542, 26, 32110, 26, 784, 30, 312, 7748, 436, 312, 328, 630, 3667, 18645, 8223, 291, 309, 280, 34873, 2524, 26, 10374, 392, 827, 26, 784, 14585, 426, 7642, 313, 10788, 309, 30, 7788, 48, 2131, 291, 442, 309, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 26542, 26, 784, 27, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 2069, 26, 784, 3667, 18645, 8223, 284, 665, 1156, 33644, 3207, 784, 30, 595, 711, 291, 442, 18623, 26, 784, 30, 630, 3667, 18645, 505, 77, 91, 1130, 284, 443, 3133, 505, 1664, 505, 280, 1156, 1664, 505, 284, 443, 3133, 505, 13707, 505, 280, 1156, 13707, 505, 284, 443, 3133, 505, 466, 505, 280, 1156, 466, 505, 284, 443, 3133, 505, 1657, 505, 280, 1156, 1657, 505, 284, 443, 3133, 505, 33644, 505, 280, 1156, 33644, 505, 284, 442, 443, 81, 203, 17949, 280, 617, 4765, 81, 823, 26, 284, 313, 17949, 392, 308, 291, 313, 12325, 606, 392, 291, 313, 12325, 558, 392, 291, 313, 12325, 620, 392, 291, 313, 12325, 1533, 392, 291, 313, 12325, 1043, 392, 291, 313, 3039, 1215, 392, 291, 313, 1567, 22225, 392, 291, 313, 8614, 8211, 392, 291, 313, 11431, 606, 392, 291, 313, 7035, 14859, 37, 392, 291, 313, 2135, 9096, 392, 291, 313, 18482, 2529, 11824, 392, 291, 313, 18482, 8473, 11824, 392, 291, 313, 16317, 1250, 392, 291, 313, 37177, 17949, 392, 291, 313, 389, 299, 383, 5195, 392, 284, 829, 203, 27, 203, 1151, 1120, 280, 617, 4765, 81, 823, 26, 284, 313, 1151, 1120, 392, 308, 291, 313, 1567, 3637, 392, 29852, 313, 1567, 4433, 606, 392, 291, 313, 12325, 3637, 392, 34081, 313, 24611, 11624, 392, 958, 284, 829, 203, 27, 203, 8709, 1151, 280, 617, 4765, 81, 823, 26, 284, 313, 8709, 1151, 392, 308, 291, 313, 44669, 392, 291, 313, 27809, 392, 291, 313, 1567, 15629, 392, 291, 313, 3039, 2656, 392, 291, 313, 1174, 1284, 392, 291, 313, 20896, 392, 291, 313, 18218, 392, 284, 829, 203, 27, 203, 17949, 8104, 280, 617, 4765, 81, 823, 26, 284, 313, 17949, 8104, 392, 308, 291, 313, 1567, 15629, 392, 291, 313, 12325, 606, 392, 291, 313, 12325, 558, 392, 291, 313, 12325, 620, 392, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 4, 4, 6, 7, 6, 6, 8, 7, 6, 9, 8, 8, 7, 8, 8, 8, 7, 2, 2, 6, 6, 6, 6, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 6, 6, 5, 5, 7, 7, 9, 8, 9, 9, 7, 7, 5, 5, 9, 10, 9, 9, 9, 9, 9, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 7, 8, 8, 8, 9, 10, 10, 7, 7, 9, 11, 14, 14, 14, 14, 14, 12, 12, 11, 6, 6, 9, 10, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 10, 9, 8, 12, 11, 10, 12, 11, 11, 13, 15, 15, 16, 15, 15, 15, 8, 9, 9, 9, 10, 11, 11, 4, 4, 6, 6, 9, 8, 9, 11, 9, 12, 13, 12, 11, 11, 9, 11, 9, 9, 9, 11, 11, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 9, 10, 10, 8, 9, 8, 2, 2, 6, 6, 6, 6, 4, 4, 5, 5, 2, 2, 6, 6, 6, 6, 4, 4, 5, 5, 2, 2, 6, 6, 6, 6, 4, 4, 5, 5, 2, 2, 6, 6, 6, 6, 4, 4, 5, 5, 2, 2, 6, 6, 6, 6, 4, 4, 5, 5, 2, 2, 3, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 4, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 4, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 5, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 4, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 4, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 0, 1, 1, 5, 2, 2, 2, 5, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 2, 4, 4, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 1, 0, 1, 2, 2, 4, 4, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 1, 1, 1, 1, 0, 2, 2, 3, 2, 3, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 12, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 3, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3 ]
[ 465, 19571, 203, 1070, 15798, 1188, 19205, 203, 1070, 15798, 32, 3613, 1188, 7502, 203, 1070, 29590, 1188, 38095, 974, 203, 1070, 298, 841, 35638, 32, 4048, 1188, 17096, 2567, 30, 506, 25812, 4716, 203, 823, 17096, 2567, 7233, 26, 7233, 711, 284, 665, 894, 81, 823, 81, 297, 81, 8328, 479, 444, 26, 784, 711, 291, 623, 38095, 974, 346, 619, 296, 44, 324, 19571, 32, 5937, 26, 12805, 2567, 26, 7439, 47, 35, 34, 471, 296, 27, 284, 665, 894, 81, 19229, 81, 297, 81, 1206, 81, 2559, 81, 1793, 81, 88, 393, 265, 81, 22400, 26, 784, 711, 291, 4719, 81, 4742, 280, 17096, 2567, 26, 36, 27, 291, 4479, 19399, 81, 12124, 280, 7502, 346, 291, 4479, 19399, 81, 12124, 32, 19407, 280, 225, 34, 291, 630, 32, 14846, 26, 4048, 81, 4742, 26, 2518, 19399, 81, 12124, 490, 291, 4479, 19399, 81, 12124, 32, 19407, 280, 225, 35, 291, 630, 32, 14846, 26, 4048, 81, 4742, 26, 2518, 19399, 81, 12124, 490, 284, 665, 894, 81, 19229, 81, 297, 81, 1206, 81, 2559, 81, 1793, 81, 8786, 81, 271, 81, 7026, 81, 22400, 26, 784, 711, 291, 4479, 19399, 81, 12124, 280, 17096, 2567, 26, 36, 27, 291, 17908, 280, 7502, 346, 291, 17908, 32, 19407, 280, 225, 36, 291, 630, 32, 6549, 26, 2518, 19399, 81, 12124, 26, 23776, 490, 291, 17908, 32, 19407, 280, 225, 37, 291, 630, 32, 6549, 26, 2518, 19399, 81, 12124, 26, 23776, 490, 203, 823, 506, 25812, 4716, 7233, 26, 7233, 711, 284, 665, 894, 81, 823, 81, 297, 81, 8328, 479, 444, 26, 784, 711, 291, 623, 38095, 974, 346, 619, 296, 44, 324, 19571, 32, 5937, 26, 12805, 2567, 26, 7439, 47, 35, 34, 471, 296, 27, 284, 665, 894, 81, 19229, 81, 297, 81, 1206, 81, 2559, 81, 1793, 81, 83, 81, 5729, 81, 35697, 26, 784, 711, 291, 4719, 81, 4742, 280, 506, 25812, 4716, 26, 35, 32, 34, 27, 291, 436, 34247, 328, 308, 34, 32, 34, 30, 225, 34, 32, 36, 39, 30, 225, 34, 32, 39, 30, 225, 34, 32, 41, 39, 30, 225, 34, 32, 43, 30, 225, 34, 32, 43, 43, 43, 43, 43, 43, 43, 711, 324, 10090, 280, 7502, 346, 324, 10090, 32, 35697, 280, 7502, 26, 601, 81, 853, 47, 35697, 27, 324, 4479, 19399, 81, 12124, 280, 7502, 346, 324, 4479, 19399, 81, 12124, 32, 8773, 280, 7502, 26, 601, 81, 853, 47, 27797, 27, 324, 630, 32, 14846, 26, 4048, 81, 4742, 26, 2518, 19399, 81, 12124, 490, 284, 665, 894, 81, 19229, 81, 297, 81, 1206, 81, 2559, 81, 1793, 81, 83, 81, 4363, 265, 81, 35697, 26, 784, 711, 291, 4719, 81, 4742, 280, 506, 25812, 4716, 26, 35, 32, 34, 27, 291, 436, 34247, 328, 308, 35, 32, 34, 30, 225, 35, 32, 34, 34, 34, 34, 34, 34, 34, 34, 35, 30, 225, 35, 32, 36, 39, 30, 225, 35, 32, 39, 30, 225, 35, 32, 41, 39, 30, 225, 36, 711, 324, 10090, 280, 7502, 346, 324, 10090, 32, 35697, 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, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 10, 8, 8, 5, 5, 5, 9, 10, 9, 11, 11, 11, 13, 12, 13, 13, 11, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 4, 4, 8, 8, 8, 7, 8, 6, 6, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 10, 10, 10, 10, 9, 4, 4, 8, 8, 8, 7, 8, 6, 6, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 8, 8, 9, 8, 4, 4, 6, 6, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 10, 9, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 10, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 10, 8, 8, 5, 5, 5, 9, 10, 9, 11, 11, 11, 13, 12, 13, 13, 11, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 4, 4, 5, 5, 5, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 8, 8, 10, 6, 6, 9, 10, 8, 8, 10, 12, 12, 12, 11, 12, 10, 6, 6, 9, 9, 9, 8, 8, 10, 6, 6, 10, 10, 10, 9, 10, 8, 8, 10, 12, 12, 12, 11, 12, 10, 6, 6, 9, 10, 9, 11, 11, 11, 11, 12, 12, 12, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 4, 4, 5, 5, 5, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 10, 6, 6, 9, 10, 8 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 7, 7, 7, 7, 3, 3, 9, 9, 9, 3, 3, 11, 11, 11, 11, 11, 11, 11, 11, 11, 3, 1, 1, 0, 0, 1, 5, 5, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 5, 5, 0, 0, 0, 0, 0, 1, 5, 5, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 5, 5, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 3, 3, 7, 7, 7, 3, 3, 9, 9, 9, 9, 3, 3, 11, 3, 1, 1, 0, 0, 1, 5, 5, 0, 2, 0 ]
[ 1070, 8527, 32, 12023, 1188, 5605, 203, 1070, 638, 3378, 1188, 2148, 22867, 1547, 203, 1070, 638, 3378, 1188, 16643, 30, 22509, 30, 11587, 30, 41929, 30, 3717, 1274, 30, 22509, 2168, 30, 1513, 10347, 203, 1070, 638, 3378, 1188, 18784, 30, 4988, 10275, 30, 4988, 9469, 8256, 30, 27172, 30, 11437, 203, 50, 2300, 32, 3317, 26, 8256, 27, 203, 823, 18784, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 1149, 81, 2751, 280, 2726, 1311, 370, 330, 20221, 370, 330, 2649, 370, 330, 2310, 683, 284, 3233, 81, 4151, 280, 2726, 687, 370, 330, 1311, 683, 284, 1149, 81, 2029, 280, 2726, 20221, 370, 27, 284, 19404, 280, 2726, 20221, 370, 27, 203, 50, 2300, 32, 3317, 26, 33262, 27, 203, 823, 4988, 10275, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 3097, 203, 50, 2300, 32, 3317, 26, 3827, 9469, 8256, 27, 203, 823, 4988, 9469, 8256, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 1149, 81, 2751, 280, 2726, 6250, 370, 330, 20221, 81, 1338, 370, 330, 7632, 370, 330, 1366, 81, 770, 370, 330, 416, 81, 770, 370, 330, 2468, 683, 284, 3233, 81, 4151, 280, 2726, 6250, 505, 1311, 370, 27, 284, 1149, 81, 2029, 280, 2726, 7632, 370, 330, 6250, 505, 20221, 505, 1311, 370, 330, 2468, 683, 284, 19404, 280, 2726, 7632, 370, 27, 203, 50, 2300, 32, 3317, 26, 10856, 27, 203, 823, 16643, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 3097, 203, 50, 2300, 32, 3317, 26, 13018, 27, 203, 823, 22509, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 3233, 81, 4151, 280, 2726, 4189, 370, 330, 2649, 370, 330, 1172, 683, 284, 1149, 81, 2029, 280, 2726, 4189, 370, 330, 2649, 683, 284, 19404, 280, 2726, 2649, 370, 330, 1172, 370, 27, 203, 50, 2300, 32, 3317, 26, 2656, 27, 203, 823, 11587, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 3097, 203, 50, 2300, 32, 3317, 26, 25301, 27, 203, 823, 41929, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 1149, 81, 2751, 280, 2726, 1311, 370, 330, 20221, 81, 1338, 370, 330, 2468, 370, 330, 770, 370, 330, 1366, 81, 1003, 370, 330, 416, 81, 1003, 370, 330, 7632, 81, 1338, 683, 284, 3233, 81, 4151, 280, 2726, 1311, 370, 27, 284, 1149, 81, 2029, 280, 2726, 770, 370, 330, 2468, 370, 330, 102, 81, 6250, 505, 6250, 505, 20221, 505, 1311, 683, 284, 19404, 280, 2726, 770, 370, 27, 203, 50, 2300, 32, 3317, 26, 1043, 1274, 27, 203, 823, 3717, 1274, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 1149, 81, 2751, 280, 2726, 102, 81, 6250, 370, 330, 20221, 81, 1338, 370, 330, 8438, 370, 330, 9892, 81, 3368, 370, 330, 1366, 81, 1003, 370, 330, 416, 81, 1003, 683, 284, 3233, 81, 4151, 280, 2726, 102, 81, 6250, 505, 6250, 505, 1311, 370, 27, 284, 1149, 81, 2029, 280, 2726, 9892, 81, 3368, 370, 330, 8438, 370, 330, 102, 81, 6250, 505, 6250, 505, 20221, 505, 1311, 683, 284, 19404, 280, 2726, 102, 81, 6250, 370, 27, 203, 50, 2300, 32, 3317, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 1, 0, 2, 5, 4, 5, 4, 5, 4, 1, 2, 2, 3, 3, 5, 4, 5, 5, 3, 2, 2, 6, 6, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 3, 3, 6, 6, 5, 5, 8, 8, 6, 8, 8, 3, 3, 6, 6, 5, 5, 8, 8, 6, 3, 3, 5, 5, 8, 8, 6, 0, 2, 5, 4, 5, 4, 5, 4, 1, 2, 2, 3, 3, 3, 5, 4, 5, 5, 3, 2, 2, 0, 2, 5, 4, 5, 4, 5, 5, 5, 4, 1, 2, 2, 3, 3, 3, 3, 5, 4, 5, 5, 3, 2, 2, 6, 6, 5, 5, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 3, 3, 6, 6, 5, 5, 8, 8, 8, 8, 6, 3, 3, 6, 6, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 3, 3, 5, 5, 8, 8, 6, 0, 2, 5, 4, 5, 4, 5, 4, 1, 2, 2, 3, 3, 5, 4, 5, 5, 3, 2, 2, 0, 2, 5, 4, 5, 4, 5, 4, 1, 2, 2, 3, 3, 5, 4, 5, 5, 3, 2, 2, 6, 6, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 3, 3, 6, 6, 5, 5, 8, 8, 6, 8, 8, 3, 3, 5, 5, 8, 8, 6, 8, 8, 6, 0, 2, 5, 4, 5, 4, 5, 4, 1, 2, 2, 3, 3, 5, 4, 5, 5, 3, 2, 2, 0, 2, 5, 4, 5, 4, 5, 4, 1, 2, 2, 3, 3, 5, 4, 5, 5, 3, 2, 2, 6, 6, 5, 5, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 3, 3, 6, 6, 5, 5, 8, 8, 6, 3, 3, 6, 6, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 5, 8, 8, 6, 0, 2, 5, 4, 5, 4, 5, 5, 4, 1, 2, 2, 3, 3, 3, 5, 4, 5, 5, 3, 2, 2, 6, 6, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 3, 3, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 3, 3, 6, 6, 5, 5, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 5, 8, 8, 8, 8, 6, 0, 2, 5, 4, 5, 4 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 4, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 5, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 7, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 8, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 9, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 10, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 11, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1 ]
[ 465, 2322, 203, 6177, 81, 3197, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 505, 2610, 203, 17252, 81, 3307, 280, 30597, 102, 38, 88, 24, 34, 14592, 41, 42, 40, 1306, 81, 344, 35, 22, 41, 108, 43, 29511, 930, 94, 7301, 104, 35, 100, 41, 88, 22, 43, 98, 24, 108, 38, 22533, 43, 2939, 92, 8088, 99, 18505, 203, 2897, 280, 2933, 203, 33891, 81, 8472, 69, 280, 1605, 203, 6585, 45421, 81, 47406, 280, 428, 284, 313, 11025, 32, 12023, 32, 2300, 392, 284, 313, 11025, 32, 12023, 32, 2393, 392, 284, 313, 11025, 32, 12023, 32, 1286, 2516, 392, 284, 313, 11025, 32, 12023, 32, 18780, 392, 284, 313, 11025, 32, 12023, 32, 6286, 392, 284, 313, 11025, 32, 12023, 32, 1574, 2536, 392, 284, 313, 1530, 1516, 1495, 392, 284, 313, 858, 725, 392, 203, 79, 203, 47589, 35291, 280, 428, 284, 313, 11025, 32, 11202, 32, 4373, 32, 5188, 11063, 392, 284, 313, 11025, 32, 12023, 32, 18780, 32, 11202, 32, 3135, 11063, 392, 284, 313, 11025, 32, 11202, 32, 2282, 32, 5240, 11063, 392, 284, 313, 11025, 32, 11202, 32, 14250, 32, 17528, 4918, 1074, 11063, 392, 284, 313, 11025, 32, 12023, 32, 2393, 32, 11202, 32, 8161, 11063, 392, 284, 313, 11025, 32, 12023, 32, 6286, 32, 11202, 32, 1175, 11063, 392, 284, 313, 11025, 32, 11202, 32, 2942, 10583, 299, 32, 74, 2136, 2031, 11063, 392, 203, 79, 203, 7789, 81, 2413, 14594, 280, 313, 858, 2250, 32, 11400, 20, 203, 10115, 22368, 940, 280, 428, 284, 301, 291, 313, 36190, 563, 313, 11025, 32, 2387, 32, 11514, 32, 11025, 32, 36115, 15565, 392, 291, 313, 31254, 563, 5518, 291, 313, 6870, 81, 31254, 563, 2933, 30, 291, 313, 15979, 563, 301, 324, 313, 1819, 81, 24715, 563, 428, 400, 313, 11025, 32, 2387, 32, 1819, 81, 24715, 32, 2811, 392, 400, 313, 11025, 32, 2387, 32, 1819, 81, 24715, 32, 1357, 392, 400, 313, 11025, 32, 12023, 32, 2393, 32, 1819, 81, 24715, 32, 2393, 392, 400, 313, 11025, 32, 12023, 32, 6286, 32, 1819, 81, 24715, 32, 6286, 392, 324, 1481, 291, 801, 284, 320, 203, 79, 203, 3951, 14819, 81, 16258, 280, 313, 858, 2250, 32, 46674, 32, 3164, 20, 203, 20528, 69, 280, 301, 284, 313, 1536, 563, 301, 291, 313, 28137, 563, 313, 11025, 32, 1199, 32, 11514, 32, 14107, 37, 392, 291, 313, 2474, 563, 2322, 32, 983, 32, 2524, 26, 6177, 81, 3197, 30, 313, 1199, 32, 14107, 37, 2113, 284, 320, 203, 111, 203, 9036, 81, 13001, 81, 5915, 43695, 280, 428, 284, 301, 291, 313, 2474, 563, 308, 324, 313, 11025, 32, 12023, 32, 2393, 32, 2895, 81, 6460, 20, 324, 4939, 1240, 2212, 42684, 7063, 20, 291, 2588, 284, 801, 284, 301, 291, 313, 2474, 563, 308, 324, 313, 11025, 32, 12023, 32, 2393, 32, 2895, 81, 6460, 20, 4288, 4939, 13367, 2380, 7063, 20, 291, 2588, 284, 801, 284, 301, 291, 313, 2474, 563, 308, 324, 313, 11025, 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, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 8, 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, 0, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 0, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 4, 4, 7, 7, 7, 7, 5, 4, 4, 4, 7, 7, 5, 6, 6, 9, 9, 9, 9, 7, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 6, 6, 4, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 4, 7, 7, 5, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 6, 6, 4, 4, 3, 3, 4, 4, 7, 7, 5, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 6, 6, 4, 4, 3, 3, 4, 4, 7, 7, 5, 6, 6, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 5, 5, 1, 2, 1, 2, 2, 1, 1 ]
[ 1070, 9082, 4815, 32, 3155, 81, 4144, 4815, 1188, 9041, 81, 4144, 4815, 203, 1070, 9082, 4815, 32, 17131, 1188, 7187, 418, 203, 465, 5741, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 7687, 3838, 26, 3155, 81, 4144, 4815, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1376, 30, 12881, 711, 291, 630, 32, 67, 280, 1149, 346, 291, 2599, 17094, 1664, 3207, 1376, 30, 12881, 27, 284, 665, 11656, 81, 979, 81, 3734, 26, 784, 711, 291, 19816, 280, 7187, 418, 26, 784, 32, 1376, 30, 784, 32, 12881, 547, 12316, 291, 2678, 81, 18531, 374, 915, 280, 630, 32, 12881, 32, 2135, 81, 853, 463, 66, 81, 48301, 81, 18531, 374, 915, 683, 291, 2678, 81, 11994, 37365, 280, 630, 32, 12881, 32, 2135, 81, 853, 463, 66, 81, 48301, 81, 11994, 37365, 683, 291, 1910, 280, 308, 324, 308, 99, 81, 18531, 374, 915, 30, 330, 18531, 374, 915, 1425, 324, 308, 784, 32, 20210, 58, 26, 99, 81, 18531, 374, 915, 30, 19816, 471, 330, 1347, 81, 58, 1425, 324, 308, 99, 81, 11994, 37365, 30, 330, 11994, 37365, 1425, 324, 308, 784, 32, 20210, 58, 26, 99, 81, 11994, 37365, 30, 19816, 471, 330, 1347, 81, 58, 1425, 291, 829, 291, 630, 32, 67, 280, 1149, 1162, 99, 30, 426, 27, 436, 2678, 30, 426, 328, 1910, 415, 2678, 438, 646, 1665, 27, 291, 630, 32, 7230, 280, 308, 1657, 26, 668, 26, 784, 32, 67, 490, 48, 34, 27, 284, 665, 16846, 58, 26, 784, 30, 2678, 30, 19816, 711, 291, 415, 308, 12316, 438, 1665, 27, 556, 308, 99, 438, 1665, 27, 556, 6262, 4149, 436, 8566, 328, 19816, 415, 8566, 77, 34, 79, 28057, 58, 785, 438, 1665, 711, 324, 442, 1665, 291, 963, 280, 428, 1808, 26, 106, 27, 436, 816, 328, 2678, 79, 291, 821, 81, 16564, 280, 630, 32, 5157, 58, 26, 12316, 27, 291, 436, 595, 30, 92, 328, 821, 81, 16564, 44, 324, 963, 77, 92, 79, 1454, 963, 77, 91, 79, 324, 963, 77, 91, 79, 280, 225, 34, 291, 442, 428, 466, 26, 106, 27, 436, 816, 328, 963, 79, 284, 665, 5313, 58, 26, 784, 30, 19816, 711, 291, 442, 10440, 91, 30, 784, 32, 1809, 81, 19093, 26, 91, 30, 12316, 490, 436, 595, 30, 4149, 328, 10703, 26, 12316, 27, 415, 8566, 77, 34, 42811, 58, 785, 284, 665, 2290, 81, 19093, 26, 784, 30, 91, 30, 12316, 711, 291, 816, 30, 107, 30, 108, 280, 428, 1808, 26, 99, 27, 436, 2678, 328, 19816, 77, 91, 1674, 35, 46017, 291, 1847, 81, 100, 36, 280, 225, 35, 87, 40, 291, 1847, 81, 92, 280, 225, 34, 291, 436, 594, 30, 269, 36, 328, 10703, 26, 12316, 711, 324, 415, 821, 36, 77, 34, 42811, 58, 25, 556, 595, 379, 92, 44, 400, 4036, 324, 816, 36, 30, 107, 36, 30, 108, 36, 280, 428, 1808, 26, 99, 27, 436, 2678, 328, 821, 36, 77, 35, 46017, 324, 540, 280, 308, 106, 36, 31, 106, 9593, 36, 474, 308, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 5, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 4, 4, 9, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 11, 10, 11, 9, 11, 10, 11, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 7, 7, 9, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 7, 7, 11, 10, 11, 11, 10, 11, 11, 11, 11, 11, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 8, 10, 10, 10, 7, 7, 11, 10, 11, 11, 10, 11, 11, 11, 11, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 6, 6, 8, 10, 9, 10, 9, 8, 9, 10, 11, 9, 9, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 10, 10, 12, 12, 14, 13, 14, 12, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 10, 9, 9, 8, 7, 7, 10, 9, 9, 8, 6, 6, 10, 9, 10, 10, 10, 9, 10, 12, 13, 12, 11, 13, 13, 8, 8, 7, 5, 5, 7, 4, 4, 6, 6, 9, 9, 10, 9, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 5, 6, 7, 5, 5, 6, 6, 5, 5, 5, 9, 10, 9, 8, 8, 9, 10, 9, 6, 6, 9, 10, 9, 8, 8, 9, 4, 4, 5, 8, 8, 9, 8, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 7, 10, 9, 10, 10, 10, 9, 10, 9, 10, 9, 6, 7, 8, 9, 7, 7, 9, 10, 9, 6, 7, 9, 10, 9, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 3, 7, 8, 7, 8, 6, 6, 9, 9, 10, 9, 7, 8, 8, 8, 10, 11, 10, 11, 10, 4, 4, 7, 7, 7, 6, 6, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 4, 4, 5, 6, 7, 7, 5, 5, 7, 8, 7, 5, 5, 7, 11, 10, 11, 10, 11, 11, 8, 8, 9, 10, 7, 7, 7, 6, 6, 10, 9, 10, 10, 9, 10, 10, 8, 8, 11, 11, 12, 11, 9, 10, 10, 10, 12, 11, 13, 12, 6, 6, 8, 8, 14, 14, 13, 14, 12, 12, 10, 10, 14 ]
[ 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 4, 4, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 3, 2, 5, 2, 0, 0, 0, 2, 0, 0, 1, 4, 4, 1, 2, 2, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 3, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 5, 5, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 3, 1, 1, 2, 1, 2, 2, 2, 1, 3, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 3, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 3, 1, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 0, 0, 2, 2, 2, 5, 5, 0, 2, 0, 0, 0, 2, 4, 4, 4, 0, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 3, 0, 2, 0, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 3, 2, 5, 2, 4, 4, 0, 2, 0, 4, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 3, 1, 2, 2, 3, 3, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 5, 5, 0, 0, 2, 2, 0, 4, 4, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 3, 0, 2, 5, 5, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0 ]
[ 465, 15798, 203, 1070, 3610, 1588, 32, 1160, 32, 4890, 1188, 13925, 203, 823, 9957, 2711, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 35, 26, 784, 711, 291, 3414, 280, 13925, 346, 291, 786, 35, 280, 225, 35, 291, 630, 32, 31196, 2259, 26, 3038, 32, 1700, 81, 853, 30, 786, 35, 27, 291, 3414, 32, 1700, 81, 853, 280, 786, 35, 291, 630, 32, 4983, 26, 3038, 32, 1700, 81, 853, 30, 786, 35, 27, 291, 630, 32, 6549, 26, 3038, 32, 2040, 81, 8968, 1157, 291, 630, 32, 4983, 26, 3038, 32, 4903, 1026, 308, 2521, 30, 786, 35, 490, 291, 630, 32, 6549, 26, 3038, 32, 2040, 81, 8968, 1157, 291, 3414, 32, 13162, 81, 4219, 81, 459, 346, 291, 630, 32, 14846, 26, 3038, 32, 2040, 81, 8968, 1157, 291, 630, 32, 4983, 26, 3038, 32, 1700, 81, 853, 30, 786, 35, 27, 291, 623, 630, 32, 23895, 26, 984, 711, 324, 3414, 32, 4903, 346, 291, 786, 36, 280, 225, 36, 291, 3414, 32, 1700, 81, 853, 280, 786, 36, 291, 630, 32, 4983, 26, 3038, 32, 1700, 81, 853, 30, 786, 36, 27, 291, 630, 32, 6549, 26, 3038, 32, 2040, 81, 8968, 1157, 291, 630, 32, 4983, 26, 3038, 32, 4903, 1026, 308, 853, 35, 30, 786, 36, 490, 291, 3414, 32, 13162, 81, 4219, 81, 459, 346, 291, 630, 32, 14846, 26, 3038, 32, 2040, 81, 8968, 1157, 291, 630, 32, 4983, 26, 3038, 32, 1700, 81, 853, 30, 786, 36, 27, 284, 665, 894, 81, 4398, 26, 784, 711, 291, 3414, 280, 13925, 346, 291, 3414, 32, 1700, 81, 853, 280, 3177, 291, 630, 32, 6549, 26, 3038, 32, 2040, 81, 8968, 1157, 291, 630, 32, 4983, 26, 3038, 32, 4903, 1026, 308, 2521, 30, 3177, 490, 291, 3414, 32, 13162, 81, 4219, 81, 459, 346, 291, 630, 32, 14846, 26, 3038, 32, 2040, 81, 8968, 1157, 291, 3414, 32, 1700, 81, 853, 280, 1665, 291, 630, 32, 6549, 26, 3038, 32, 2040, 81, 8968, 1157, 291, 630, 32, 4983, 26, 3038, 32, 4903, 1026, 308, 2700, 30, 1665, 490, 284, 665, 894, 81, 6358, 26, 784, 711, 291, 786, 35, 280, 428, 35, 79, 291, 786, 36, 280, 301, 36, 111, 291, 484, 35, 280, 13925, 26, 853, 35, 27, 291, 484, 35, 32, 1700, 81, 853, 280, 786, 36, 291, 630, 32, 4983, 26, 87, 35, 32, 4903, 1026, 308, 853, 35, 30, 786, 36, 490, 291, 484, 36, 280, 484, 35, 32, 6358, 346, 291, 630, 32, 4983, 26, 87, 35, 32, 4903, 1026, 484, 36, 32, 4903, 1157, 291, 786, 37, 280, 3447, 88, 563, 313, 37, 3612, 291, 484, 35, 32, 1700, 81, 853, 280, 786, 37, 291, 630, 32, 4983, 26, 87, 35, 32, 4903, 1026, 308, 853, 35, 30, 786, 37, 490, 291, 630, 32, 4983, 26, 87, 36, 32, 4903, 1026, 308, 853, 35, 30, 786, 36, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 2, 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, 6, 6, 8, 4, 4, 7, 6, 6, 7, 4, 4, 7, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 4, 4, 5, 9, 10, 9, 10, 9, 5, 5, 9, 10, 9, 4, 4, 7, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 7, 9, 9, 8, 8, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 7, 9, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 7, 9, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 7, 4, 4, 7, 6, 6, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9, 8, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 7, 10, 10, 9, 10, 9, 7, 9, 9, 8, 8, 9, 8, 4, 4, 7, 6, 6, 9, 8, 9, 8, 4, 4, 7, 8, 7, 10, 10, 9, 10, 9, 7, 10, 9, 10, 9, 4, 4, 7, 6, 6, 10, 10, 8, 10, 10, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 7, 10, 10, 9, 10, 9, 7, 9, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 10, 10, 9, 10, 9, 7, 9, 9, 8, 8, 9, 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 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 11, 0, 2, 1, 1, 1, 11, 11, 0, 2, 1, 4, 4, 0, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 3, 3, 3, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 3, 3, 3, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 4, 4, 0, 0, 0, 1, 2, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 1270, 44, 284, 1188, 43008, 203, 7343, 29986, 44, 284, 3097, 203, 4530, 280, 330, 34, 32, 37, 32, 38, 25, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 4705, 26, 291, 636, 280, 330, 11025, 31, 2018, 1786, 370, 291, 1503, 280, 20418, 30, 291, 3048, 280, 313, 8097, 2145, 436, 18297, 4122, 544, 4665, 97, 447, 11158, 586, 104, 1182, 9261, 4808, 15082, 36018, 15660, 4414, 291, 1946, 81, 2310, 280, 2156, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 10229, 32, 9632, 12097, 850, 1026, 291, 4081, 280, 330, 63, 19931, 370, 291, 4081, 81, 1935, 280, 330, 911, 282, 32, 11025, 50, 102, 1251, 32, 508, 370, 291, 1984, 280, 330, 641, 555, 933, 32, 508, 33, 911, 282, 33, 11025, 31, 2018, 1786, 370, 291, 3541, 280, 330, 1614, 2743, 104, 37, 370, 291, 7599, 280, 2290, 81, 5043, 26, 10444, 37346, 8440, 4882, 370, 35100, 4882, 3424, 370, 330, 4882, 3424, 370, 330, 4882, 13356, 291, 2652, 81, 605, 280, 6663, 291, 43397, 280, 428, 324, 330, 20235, 5400, 2037, 225, 38, 429, 31511, 370, 324, 330, 6330, 2037, 3704, 10572, 370, 324, 330, 1428, 4611, 37393, 5467, 2037, 36646, 370, 324, 330, 3786, 2037, 546, 2123, 46573, 2037, 6987, 31035, 6146, 5056, 1177, 354, 37, 370, 324, 330, 25900, 1171, 2037, 6642, 40201, 370, 324, 330, 23560, 6633, 2037, 4865, 370, 324, 330, 5936, 2037, 18297, 370, 291, 2505, 291, 2305, 81, 1320, 81, 605, 280, 2933, 30, 291, 8529, 81, 4770, 280, 3177, 30, 291, 8450, 81, 7676, 280, 428, 324, 330, 641, 555, 933, 32, 508, 33, 911, 282, 33, 978, 31, 11282, 2018, 33, 5366, 11653, 33, 34, 32, 35, 32, 38, 31, 911, 282, 21, 21280, 47, 978, 81, 11282, 2018, 31, 34, 32, 35, 32, 38, 370, 324, 330, 525, 555, 933, 32, 508, 33, 85, 727, 33, 839, 3418, 5319, 33, 5366, 11653, 33, 26187, 38, 39, 35, 39, 35, 35, 83, 37, 1152, 34, 43, 2087, 39, 36, 28448, 2161, 40, 37, 41, 36, 83, 39, 43, 86, 37, 40, 39, 40, 41, 42, 36, 41, 21, 21280, 47, 839, 3418, 5319, 31, 34, 32, 34, 32, 35, 370, 291, 2505, 291, 2443, 81, 13966, 280, 428, 324, 330, 36115, 7148, 35, 32, 36, 370, 324, 330, 978, 81, 11282, 2018, 379, 34, 32, 35, 32, 38, 370, 324, 330, 102, 38200, 46, 37, 370, 291, 2505, 284, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 6, 6, 8, 8, 8, 8, 8, 5, 5, 6, 6, 5, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 6, 6, 10, 14, 13, 14, 12, 13, 12, 16, 15, 16, 14, 15, 14, 15, 15, 12, 14, 14, 14, 14, 9, 8, 5, 5, 6, 6, 8, 8, 8, 5, 5, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 8, 8, 8, 8, 8, 5, 5, 6, 6, 8, 8, 8, 10, 9, 12, 12, 12, 10, 12, 12, 12, 10, 12, 12, 12, 10, 12, 12, 5, 5, 7, 7, 6, 6, 5, 5, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 5, 5, 7, 7, 7, 7, 6, 6, 5, 5, 5, 7, 7, 6, 6, 5, 5, 5, 7, 7, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 7, 7, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 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 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 3, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 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, 0, 0, 7, 7, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 9, 9, 1, 1, 2, 1, 1, 0, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 15, 15, 1, 1, 1, 1, 2, 1, 1, 17, 17, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 19, 19, 1, 1, 21, 21, 2, 2, 1, 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, 1, 1, 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, 0, 0, 0, 0, 23, 23, 1, 1, 1, 0, 0, 25, 25, 1, 1, 1, 0, 0, 27, 27, 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, 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, 2, 2, 2, 1, 1, 0, 0, 29, 29, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 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 ]
[ 1070, 341, 1872, 548, 88, 32, 6656, 81, 1786, 1188, 1930, 81, 1786, 203, 465, 2575, 203, 465, 2322, 203, 1270, 44, 284, 2322, 32, 23754, 463, 893, 32, 809, 683, 203, 7343, 44, 284, 3097, 203, 37332, 280, 1930, 81, 1786, 22869, 225, 42, 34, 42, 34, 30, 2575, 32, 3164, 293, 203, 1216, 440, 811, 7172, 544, 2601, 225, 42, 34, 42, 34, 657, 203, 37332, 32, 6455, 81, 1444, 424, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 5, 6, 5, 7, 7, 7, 7, 1, 2, 2, 2, 2, 0, 3, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 6, 4, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 3, 3, 1, 1, 5, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 12460, 203, 465, 2322, 203, 465, 1133, 203, 465, 6436, 619, 310, 203, 465, 5237, 203, 102, 34, 47, 1003, 32, 1003, 346, 203, 589, 622, 81, 1614, 64, 81, 10771, 26, 2121, 1057, 5108, 35, 34, 7831, 291, 803, 720, 280, 310, 32, 955, 26, 13285, 32, 13285, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 12757, 77, 2121, 614, 313, 2429, 31, 27910, 392, 313, 5108, 2743, 36, 81, 1013, 2183, 34771, 81, 31357, 25766, 22801, 81, 34, 34, 34, 81, 1614, 64, 32, 2901, 20, 48440, 291, 803, 720, 32, 3323, 346, 291, 436, 1519, 81, 36, 81, 1131, 328, 803, 720, 44, 400, 1459, 1519, 81, 36, 81, 1131, 400, 1519, 81, 36, 81, 2024, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 12757, 77, 2121, 614, 313, 2429, 31, 27910, 392, 2322, 32, 983, 32, 15705, 26, 983, 81, 36, 81, 1131, 27, 20129, 38, 6155, 2296, 14641, 9735, 31, 4105, 31, 3518, 31, 35, 34, 34, 7273, 36, 32, 89, 23289, 32, 14510, 657, 400, 485, 23289, 81, 2501, 280, 1524, 89, 23289, 330, 301, 325, 308, 398, 38, 2377, 429, 39, 962, 398, 38, 10040, 39, 962, 398, 39, 2377, 429, 39, 962, 398, 39, 2511, 39, 829, 1459, 398, 35, 30, 398, 36, 30, 398, 37, 30, 398, 38, 30, 398, 39, 30, 398, 40, 30, 398, 41, 30, 398, 42, 30, 398, 43, 30, 398, 35, 34, 30, 398, 35, 35, 30, 398, 35, 36, 8129, 1524, 474, 1519, 81, 36, 81, 1131, 34441, 848, 313, 474, 1519, 81, 36, 81, 2024, 8982, 1459, 26, 89, 23289, 81, 2501, 27, 400, 2322, 32, 2946, 26, 89, 23289, 81, 2501, 27, 203, 371, 81, 1614, 64, 81, 10771, 26, 2121, 1057, 5108, 35, 34, 683, 203, 1216, 1133, 32, 1003, 17662, 102, 34, 30, 313, 6360, 20, 203, 500, 32, 2946, 27265, 2579, 3338, 81, 4105, 32, 2760, 19165, 2743, 36, 81, 1013, 2183, 34771, 81, 31357, 25766, 22801, 98, 81, 34, 34, 34, 81, 1614, 64, 32, 14641, 9735, 31, 4105, 31, 3518, 31, 35, 34, 34, 7273, 36, 32, 89, 23289, 32, 14510, 848, 399, 11785, 32, 14641, 9735, 31, 4105, 31, 3518, 31, 35, 34, 34, 7273, 36, 32, 14510, 41135, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 3, 3, 2, 5, 4, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 5, 5, 5, 5, 1, 1, 5, 4, 4, 6, 7, 6, 9, 8, 9, 8, 12, 11, 12, 10, 11, 10, 13, 12, 13, 11, 12, 11, 10, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 2, 2, 6, 5, 6, 5, 2, 2, 3, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 5, 6, 6, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 11, 10, 11, 9, 10, 9, 8, 10, 10, 10, 10, 8, 13, 14, 12, 13, 12, 13, 13, 13, 13, 13, 12, 10, 13, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 7, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 10, 10, 8, 10, 10, 7, 7, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 0, 3, 3, 3, 3, 3, 3, 3, 5, 4, 6, 6, 6, 6, 0, 1, 1, 4, 5, 4, 3, 3, 1, 1, 3, 3, 0, 4, 3, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 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, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 8, 8, 0, 2, 1, 2, 2, 8, 8, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 26521, 352, 1188, 319, 203, 1270, 44, 284, 645, 638, 10967, 299, 31717, 1188, 319, 284, 645, 638, 104, 1028, 81, 98, 1188, 319, 203, 7343, 44, 284, 645, 540, 12466, 31717, 1188, 319, 284, 645, 354, 1028, 81, 98, 1188, 319, 203, 325, 1133, 1726, 4834, 1649, 10844, 9049, 1479, 950, 284, 1133, 13034, 280, 28126, 3698, 284, 1133, 2871, 47, 36, 284, 3111, 1917, 225, 280, 7507, 81, 2632, 81, 85, 1306, 81, 4627, 203, 12106, 1133, 1726, 4834, 1649, 10844, 1306, 2500, 1479, 950, 284, 1133, 13034, 280, 12943, 5411, 3698, 284, 3111, 1917, 225, 280, 7507, 81, 2632, 81, 85, 1306, 81, 4627, 284, 1133, 81, 14598, 280, 225, 35, 34, 32, 34, 28, 104, 1028, 81, 8378, 81, 269, 362, 81, 575, 284, 35012, 81, 103, 280, 301, 34, 44, 1003, 81, 14598, 111, 284, 12190, 362, 81, 103, 280, 301, 34, 44, 1003, 81, 14598, 111, 203, 1824, 44, 284, 1133, 13034, 280, 7587, 2489, 31212, 81, 85, 1306, 284, 3111, 1917, 225, 280, 7507, 81, 2632, 81, 85, 1306, 81, 4627, 203, 88, 405, 26411, 280, 301, 34, 44, 4365, 17375, 111, 203, 15034, 62, 2277, 299, 958, 280, 3177, 203, 1516, 14856, 31357, 620, 280, 676, 2109, 37, 66, 32, 2567, 14856, 31357, 203, 468, 1666, 1353, 31357, 225, 280, 1665, 203, 1113, 3365, 924, 647, 280, 676, 2109, 37, 66, 32, 1721, 3365, 924, 26, 34036, 101, 47, 34036, 101, 30, 1442, 47, 1442, 27, 203, 615, 1041, 7058, 4093, 264, 280, 676, 2109, 37, 66, 32, 1189, 1041, 7058, 4093, 26, 34036, 101, 30, 1442, 30, 615, 1041, 7058, 4093, 9168, 47, 104, 1028, 81, 615, 1041, 7058, 4093, 9168, 30, 17797, 47, 104, 1028, 81, 17797, 81, 615, 1041, 7058, 4093, 27, 203, 325, 2783, 2743, 1102, 780, 81, 72, 2109, 379, 1815, 44, 284, 3536, 1812, 937, 5260, 280, 3177, 284, 1133, 13034, 280, 7587, 2489, 31212, 81, 85, 1306, 284, 3111, 1917, 225, 280, 7507, 81, 2632, 81, 85, 1306, 81, 4627, 203, 1824, 44, 284, 3536, 1812, 937, 5260, 280, 2933, 203, 7740, 414, 1203, 3910, 8362, 17766, 280, 3136, 937, 203, 2649, 3910, 8362, 17766, 647, 280, 16510, 9595, 1812, 937, 203, 3780, 8362, 6356, 604, 968, 280, 1665, 203, 8362, 6356, 604, 968, 264, 280, 1665, 203, 4873, 280, 35797, 4161, 203, 325, 793, 10560, 33486, 2374, 44, 284, 10151, 414, 1203, 9420, 17766, 280, 447, 1218, 2374, 284, 3193, 9420, 17766, 647, 280, 447, 1218, 2374, 203, 1824, 44, 284, 10151, 414, 1203, 9420, 17766, 280, 1224, 2231, 81, 6079, 545, 38, 978, 284, 3193, 9420, 17766, 647, 280, 1224, 2231, 81, 6079, 545, 38, 978, 203, 325, 793, 11069, 6303, 44, 284, 10151, 414, 1203, 9420, 17766, 280, 33695, 284, 3193, 9420, 17766, 647, 280, 33695, 203, 8362, 81, 17055, 81, 2184, 81, 4254, 280, 330, 104, 1028, 16436, 203, 3780, 8362, 17766, 609, 424, 27976, 1006, 280, 330, 1184, 101, 25, 203, 2649, 3910, 8362, 17766, 609, 424, 27976, 1006, 280, 330, 1184 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 6, 6, 6, 3, 3, 2, 2, 3, 6, 6, 6, 6, 3, 3, 1, 2, 2, 2, 2, 4, 6, 6, 4, 4, 3, 3, 4, 6, 6, 6, 4, 4, 0, 1, 1, 3, 3, 3, 2, 4, 4, 4, 1, 1, 5, 4, 4, 5, 2, 2, 5, 4, 5, 2, 2, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 1, 2, 2, 4, 4, 4, 3, 5, 5, 5, 5, 2, 2, 6, 5, 5, 6, 6, 3, 3, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 5, 5, 8, 7, 8, 8, 8, 6, 3, 3, 6, 6, 6, 5, 5, 8, 7, 8, 8, 8, 6, 1, 2, 2, 2, 2, 6, 5, 5, 6, 6, 6, 6, 6, 3, 3, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 3, 0, 3, 3, 3, 3, 2, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 2, 0, 3, 3, 3, 2, 2, 2, 5, 5, 5, 4, 5, 5, 5, 4, 6, 6, 5, 6, 6, 4, 6, 5, 6, 4, 0, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 4, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 0, 1, 1, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 1, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 1, 2, 2, 2, 2, 6, 6, 6, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 2, 0, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 1, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 4, 5, 5, 1, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 1, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 3, 3, 0, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 5, 5, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 10, 10, 0, 0, 0, 0, 0, 0, 1, 2, 10, 10, 10, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 10, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 16, 16, 1, 1, 1, 16, 16, 16, 0, 0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 16, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 17, 17, 1, 1, 17, 17, 17, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 465, 15798, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 2228, 30, 1201, 81, 668, 81, 2228, 30, 646, 858, 30, 29657, 203, 1070, 3619, 81, 800, 19807, 32, 26331, 32, 24888, 81, 26331, 1188, 10732, 449, 1731, 22383, 203, 1070, 3619, 81, 800, 19807, 32, 26331, 32, 99, 1764, 81, 26331, 1188, 1910, 1764, 22383, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 1070, 3619, 81, 800, 4485, 2524, 32, 2029, 32, 891, 81, 2029, 1188, 8660, 2348, 203, 1070, 3619, 81, 800, 4485, 2524, 32, 2304, 32, 13956, 1188, 22000, 81, 2592, 81, 452, 81, 466, 2407, 203, 1070, 3619, 81, 800, 4485, 2524, 32, 2304, 32, 9947, 81, 4313, 1188, 3345, 81, 1092, 21529, 81, 10407, 203, 823, 8287, 5442, 7233, 101, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 3657, 95, 280, 10732, 449, 1731, 22383, 26, 34527, 81, 470, 11414, 330, 614, 442, 81, 470, 47, 1815, 27, 291, 630, 32, 37001, 36, 280, 1910, 1764, 22383, 26, 36, 27, 284, 665, 894, 81, 11138, 81, 3657, 95, 81, 34, 42, 81, 38217, 26, 784, 711, 291, 630, 32, 858, 81, 2029, 81, 5210, 463, 2321, 18568, 10639, 14712, 26925, 370, 330, 2369, 9580, 370, 4985, 630, 32, 3657, 95, 30, 330, 60, 8242, 7863, 370, 225, 34, 32, 42, 30, 3177, 30, 3177, 30, 2933, 27, 284, 665, 894, 81, 11138, 81, 3657, 95, 81, 34, 42, 81, 4617, 26, 784, 711, 291, 630, 32, 858, 81, 2029, 81, 5210, 463, 2321, 18568, 10639, 14712, 26925, 370, 330, 2369, 9580, 27185, 11944, 370, 4985, 630, 32, 3657, 95, 30, 330, 60, 8242, 7863, 370, 225, 34, 32, 42, 30, 3177, 30, 3177, 30, 3177, 27, 284, 665, 894, 81, 4952, 81, 3657, 95, 81, 34, 42, 81, 38217, 26, 784, 711, 291, 630, 32, 858, 81, 2029, 81, 5210, 463, 2321, 18568, 10639, 14712, 26925, 370, 330, 2369, 9580, 370, 4985, 630, 32, 3657, 95, 30, 330, 21364, 3123, 370, 225, 34, 32, 42, 30, 3177, 30, 3177, 30, 2933, 27, 284, 665, 894, 81, 4952, 81, 3657, 95, 81, 34, 42, 81, 4617, 26, 784, 711, 291, 630, 32, 858, 81, 2029, 81, 5210, 463, 2321, 18568, 10639, 14712, 26925, 370, 330, 2369, 9580, 27185, 11944, 370, 4985, 630, 32, 3657, 95, 30, 330, 21364, 3123, 370, 225, 34, 32, 42, 30, 3177, 30, 3177, 30, 3177, 27, 284, 665, 894, 81, 31060, 81, 3657, 95, 81, 34, 42, 81, 38217, 81, 5729, 26, 784, 711, 291, 630, 32, 858, 81, 2029, 81, 5210, 463, 2321, 18568, 10639, 14712, 26925, 370, 330, 2369, 9580, 17296, 370, 4985, 630, 32, 3657, 95, 30, 330, 54, 4546, 370, 225, 34, 32, 42, 30, 3177, 30, 3177, 30, 2933, 27, 284, 665, 894, 81, 31060, 81, 3657, 95, 81, 34, 42, 81, 38217, 81, 7607, 26, 784, 711, 291, 630, 32, 858, 81, 2029, 81, 5210, 463, 2321, 18568, 10639, 14712, 26925, 370, 330, 1152, 23634, 9580, 27185, 11944, 17296, 12367, 337, 97, 370, 4985, 630, 32, 3657, 95 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 8, 8, 8, 10, 10, 10, 9, 12, 10, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 8, 9, 9, 7, 7, 9, 9, 9, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 7, 7, 9, 9, 9, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 8, 9, 9, 7, 7, 9, 9, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 7, 7, 9, 9, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 7, 8, 9, 9, 7, 7, 9, 9, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 3, 3, 0, 0, 0, 4, 4, 1, 1, 0, 5, 5, 1, 1, 0, 6, 6, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 7, 7, 0, 0, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 1, 1, 1, 2, 0, 1, 2, 2, 9, 9, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 1, 2, 1, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 1, 2, 1, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 2, 1, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 2, 1, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 2, 1, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2 ]
[ 465, 8527, 32, 858, 203, 1070, 328, 507, 97, 32, 3378, 1188, 319, 203, 1070, 328, 507, 97, 32, 4882, 32, 3259, 81, 4882, 1188, 11540, 4470, 30, 11725, 4292, 4470, 203, 1070, 8527, 32, 2304, 32, 525, 1188, 1984, 4434, 203, 1070, 328, 507, 97, 32, 4882, 32, 605, 1188, 319, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 328, 507, 97, 32, 1356, 1188, 26457, 42, 40, 34, 35, 203, 589, 3497, 1078, 37333, 26, 858, 81, 10996, 81, 2386, 711, 284, 617, 784, 280, 894, 81, 10996, 81, 2386, 284, 2599, 2176, 784, 3667, 823, 7642, 617, 784, 547, 23741, 346, 284, 617, 784, 32, 3524, 280, 617, 784, 32, 1297, 3341, 26, 3765, 81, 19846, 69, 30, 225, 38, 27, 284, 617, 784, 32, 4133, 280, 617, 784, 32, 1297, 3157, 26, 3765, 81, 23607, 69, 30, 225, 34, 30, 7423, 11645, 784, 32, 3524, 27, 284, 617, 784, 32, 1436, 280, 617, 784, 32, 1297, 1175, 26, 3765, 81, 40182, 30, 225, 36, 30, 2625, 81, 4133, 11645, 784, 32, 4133, 30, 3497, 11645, 784, 32, 3524, 30, 2476, 7045, 11645, 784, 32, 3524, 30, 20883, 11645, 784, 32, 3524, 27, 284, 617, 784, 32, 13382, 280, 617, 784, 32, 1297, 11833, 26, 3765, 81, 27716, 32477, 30, 225, 34, 30, 16612, 81, 1516, 47, 35, 30, 1474, 11645, 784, 32, 1436, 27, 203, 823, 11725, 3341, 4292, 4470, 26, 4316, 4292, 4470, 711, 284, 665, 14553, 26, 784, 711, 291, 442, 3497, 1078, 37333, 26, 784, 27, 284, 665, 28921, 26, 784, 711, 291, 2599, 26, 4316, 3341, 4292, 4470, 30, 784, 547, 519, 282, 3211, 346, 284, 665, 894, 81, 19992, 81, 1436, 81, 3631, 26, 784, 711, 291, 3124, 280, 5895, 81, 40182, 77, 34, 79, 291, 706, 280, 5053, 1436, 81, 314, 950, 3124, 710, 1436, 81, 314, 2188, 400, 330, 1548, 950, 2076, 710, 1548, 2188, 400, 330, 24791, 950, 2076, 710, 24791, 2188, 400, 320, 291, 1789, 280, 630, 32, 1580, 32, 1526, 3247, 12892, 9708, 101, 33, 40197, 7404, 42668, 784, 32, 3524, 32, 1935, 471, 39690, 1984, 4434, 26, 605, 41218, 3164, 33, 106, 31, 1499, 31, 599, 31, 27151, 683, 291, 630, 32, 4983, 26, 1986, 32, 1517, 81, 687, 30, 225, 36, 34, 34, 27, 291, 1789, 280, 630, 32, 1580, 32, 1526, 3247, 12892, 9708, 101, 33, 40197, 7404, 42668, 784, 32, 3524, 32, 1935, 471, 39690, 1984, 4434, 26, 605, 41218, 3164, 33, 106, 31, 1499, 31, 599, 31, 27151, 683, 291, 630, 32, 4983, 26, 1986, 32, 1517, 81, 687, 30, 225, 38, 34, 34, 27, 203, 823, 9035, 4292, 4470, 26, 4292, 4470, 711, 10065, 665, 14553, 26, 784, 711, 291, 442, 3497, 1078, 37333, 26, 784, 27, 284, 665, 28921, 26, 784, 711, 291, 2599, 26, 3341, 4292, 4470, 30, 784, 547, 519, 282, 3211, 346, 284, 665, 894, 81, 37497, 81, 2895, 26, 784, 711, 291, 1984, 280, 3056, 12892, 9708, 101, 33, 37497, 31, 2895, 21735, 26, 784, 32, 3524, 32, 1935, 27, 291, 6658, 81, 9147, 280, 2107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 4, 4, 5, 5, 5, 5, 2, 2, 7, 9, 8, 9, 9, 7, 8, 7, 6, 5, 2, 2, 6, 5, 6, 4, 4, 7, 6, 7, 7, 6, 7, 7, 7, 7, 6, 6, 7, 6, 2, 2, 6, 5, 6, 4, 4, 7, 6, 7, 7, 6, 7, 7, 7, 7, 6, 6, 7, 6, 6, 7, 9, 8, 9, 6, 2, 2, 6, 5, 6, 4, 4, 7, 6, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 8, 8, 7, 9, 8, 9, 6, 6, 7, 9, 8, 9, 6, 6, 6, 7, 9, 8, 9, 6, 6, 7, 9, 8, 9, 6, 2, 2, 6, 5, 6, 4, 4, 7, 6, 7, 7, 6, 7, 7, 7, 7, 6, 6, 7, 6, 6, 8, 8, 7, 8, 6, 6, 7, 9, 8, 9, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 7, 7, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 10, 9, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 7, 8, 7, 4, 4, 6, 6, 10, 10, 10, 10, 8, 9, 11, 11, 11, 11, 7, 7, 10, 10, 10, 9, 11, 11, 7, 7, 10, 10, 10, 9, 11, 11, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 11, 11, 11, 11, 11, 11, 9, 13, 12, 13, 11, 12, 10, 8, 8, 10, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 11, 11, 11, 11, 11, 11, 9, 13, 12, 13, 11, 12, 10, 8, 8, 10, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 7, 7, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 10, 9, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 8, 11, 10, 11, 9, 10, 8, 4, 4, 7, 7, 6, 6 ]
[ 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 1, 2, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 0, 1, 2, 2, 1, 3, 1, 2, 1, 4, 4, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 0, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 0, 0, 5, 0, 2, 2, 1, 1, 7, 0, 2, 2, 1, 1, 1, 9, 0, 2, 2, 1, 1, 11, 0, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 0, 0, 5, 2, 1, 1, 7, 0, 2, 2, 1, 0, 8, 8, 1, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 0, 9, 9, 1, 1, 2, 1, 1, 2, 9, 9, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0 ]
[ 465, 15798, 203, 465, 4281, 1167, 619, 37925, 203, 823, 10791, 7233, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 823, 26, 784, 711, 291, 443, 2768, 26, 34039, 32, 3858, 711, 324, 3097, 291, 630, 32, 25839, 1337, 2521, 26, 620, 27, 291, 630, 32, 25839, 1337, 2521, 26, 620, 1157, 284, 665, 894, 81, 2325, 7312, 367, 81, 11015, 81, 853, 81, 681, 26, 784, 711, 291, 443, 2768, 26, 34039, 32, 3858, 711, 324, 804, 280, 629, 291, 630, 32, 5299, 26, 620, 26, 314, 47, 35, 547, 314, 30, 225, 35, 27, 284, 665, 894, 81, 2325, 7312, 367, 81, 34755, 81, 853, 81, 681, 26, 784, 711, 291, 443, 2768, 26, 34039, 32, 3858, 711, 324, 804, 280, 629, 291, 623, 630, 32, 23895, 26, 18082, 711, 324, 2768, 26, 314, 347, 35, 657, 284, 665, 894, 81, 2325, 7312, 367, 81, 2521, 81, 681, 26, 784, 711, 291, 443, 2768, 26, 34039, 32, 3858, 711, 324, 804, 280, 629, 291, 630, 32, 25839, 2521, 26, 620, 26, 314, 47, 2521, 547, 314, 27, 284, 665, 894, 81, 2386, 81, 16527, 81, 11015, 81, 853, 81, 681, 26, 784, 711, 291, 443, 2768, 26, 34039, 32, 3858, 711, 324, 804, 280, 629, 291, 273, 280, 2768, 346, 291, 273, 32, 314, 280, 225, 35, 291, 630, 32, 5299, 26, 102, 32, 314, 30, 225, 35, 27, 284, 665, 894, 81, 2386, 81, 16527, 81, 2521, 26, 784, 711, 291, 443, 2768, 26, 34039, 32, 3858, 711, 324, 804, 280, 629, 291, 273, 280, 2768, 346, 291, 273, 32, 314, 280, 1665, 291, 630, 32, 25839, 2521, 26, 102, 32, 314, 27, 284, 665, 894, 81, 2386, 81, 16527, 81, 34755, 81, 853, 81, 681, 26, 784, 711, 291, 443, 2768, 26, 34039, 32, 3858, 711, 324, 804, 280, 629, 291, 273, 280, 2768, 346, 291, 623, 630, 32, 23895, 26, 18082, 711, 324, 273, 32, 314, 280, 313, 35, 20, 284, 665, 894, 81, 26421, 81, 681, 81, 11015, 81, 853, 81, 681, 26, 784, 711, 291, 443, 8983, 26, 34039, 32, 3858, 711, 324, 10769, 280, 596, 291, 443, 11038, 26, 34039, 32, 3858, 711, 324, 2965, 280, 8983, 291, 312, 280, 8983, 26, 7035, 347, 4964, 657, 291, 298, 280, 11038, 26, 2468, 47, 83, 27, 291, 630, 32, 5299, 26, 98, 32, 2468, 30, 312, 27, 291, 630, 32, 5299, 26, 98, 32, 2468, 32, 7035, 30, 313, 4964, 657, 284, 665, 894, 81, 26421, 81, 681, 81, 34755, 81, 853, 81, 681, 26, 784, 711, 291, 443, 8983, 26, 34039, 32, 3858, 711, 324, 10769, 280, 596, 291, 443, 11038, 26, 34039, 32, 3858, 711, 324, 2965, 280, 8983, 291, 623, 630, 32, 23895, 26, 18082, 711, 324, 11038, 26, 2468, 347, 4964, 657, 284, 665, 894, 81, 26421, 81, 681, 81, 2521, 81, 853, 26, 784, 711, 291, 443, 8983, 26, 34039, 32, 3858, 711, 324, 10769, 280, 596, 291, 443, 11038, 26, 34039, 32, 3858, 711, 324, 2965, 280, 8983, 291, 630, 32, 25839, 2521, 26, 6005, 26, 2468, 47 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 4, 2, 2, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 7, 8, 6, 5, 5, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 7, 8, 7, 10, 10, 12, 11, 12, 10, 9, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 5, 9, 10, 9, 10, 9, 5, 5, 9, 11, 10, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 7, 8, 8, 7, 10, 10, 12, 11, 12, 10, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 6, 6, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 6, 6, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 6, 6, 8, 4, 4, 5, 9, 10, 9, 10, 9, 5, 5, 9, 10, 8, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 6, 6, 8, 10, 9, 11, 11, 4, 4, 6, 6, 8, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 5, 9, 10, 9, 10, 9, 5, 5, 9, 11, 10, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 5, 6, 8, 7, 8, 6, 5, 5, 8, 8, 4, 4, 7, 8, 8, 7, 10, 10, 12, 11 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 4, 4, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 1, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 4, 4, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 4, 4, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 4, 4, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 4, 4, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 4, 4, 0, 2, 2, 1, 0, 1, 0, 1 ]
[ 1070, 390, 2331, 35, 38, 32, 3989, 53, 40, 35, 43, 41, 34, 32, 2852, 32, 9594, 1639, 959, 1188, 17492, 1639, 959, 203, 823, 6575, 6772, 2301, 3564, 26, 9594, 1639, 959, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2163, 34, 47, 2521, 30, 6575, 6772, 1612, 3564, 47, 2521, 30, 6089, 2227, 2301, 34, 47, 2521, 30, 319, 1132, 30, 1115, 4124, 81, 1132, 711, 291, 630, 1114, 1521, 34, 280, 1665, 291, 630, 32, 1521, 34, 280, 2163, 34, 291, 630, 1114, 2227, 6772, 1612, 3564, 280, 1605, 291, 630, 32, 2227, 6772, 1612, 3564, 280, 1605, 415, 6575, 6772, 1612, 3564, 438, 1665, 813, 6575, 6772, 1612, 3564, 291, 630, 1114, 2859, 2227, 2301, 34, 280, 1665, 291, 630, 32, 2859, 2227, 2301, 34, 280, 6089, 2227, 2301, 34, 291, 2599, 26, 2227, 6772, 2301, 3564, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 4124, 81, 1132, 27, 284, 617, 10407, 280, 1605, 284, 617, 2437, 81, 2516, 280, 2149, 284, 617, 10514, 280, 2149, 284, 617, 20784, 280, 2149, 284, 617, 8046, 280, 3037, 1521, 34, 392, 313, 2227, 6772, 1612, 3564, 392, 313, 2859, 2227, 2301, 34, 1446, 284, 617, 11374, 81, 8046, 280, 3037, 2227, 6772, 1612, 3564, 1446, 284, 665, 622, 1521, 34, 26, 784, 711, 291, 442, 630, 1114, 1521, 34, 284, 665, 739, 1521, 34, 26, 784, 30, 786, 711, 291, 415, 630, 1114, 1521, 34, 438, 646, 1665, 44, 324, 13996, 280, 428, 106, 436, 816, 328, 630, 32, 1521, 34, 32, 2227, 6772, 2301, 3564, 415, 816, 863, 630, 79, 324, 630, 1114, 1521, 34, 1114, 2227, 6772, 2301, 3564, 280, 13996, 291, 630, 1114, 1521, 34, 280, 786, 291, 415, 630, 1114, 1521, 34, 438, 646, 1665, 44, 324, 415, 630, 646, 328, 630, 1114, 1521, 34, 1114, 2227, 6772, 2301, 3564, 44, 400, 630, 1114, 1521, 34, 1114, 2227, 6772, 2301, 3564, 32, 1689, 26, 784, 27, 284, 2163, 34, 280, 2804, 26, 371, 1521, 34, 30, 739, 1521, 34, 27, 284, 665, 622, 2227, 6772, 1612, 3564, 26, 784, 711, 291, 442, 630, 1114, 2227, 6772, 1612, 3564, 284, 665, 739, 2227, 6772, 1612, 3564, 26, 784, 30, 786, 711, 291, 436, 816, 328, 630, 1114, 2227, 6772, 1612, 3564, 44, 324, 816, 32, 2227, 6772, 2301, 3564, 280, 1665, 291, 436, 533, 328, 786, 44, 324, 533, 1114, 2227, 6772, 2301, 3564, 280, 630, 291, 630, 1114, 2227, 6772, 1612, 3564, 280, 786, 284, 6575, 6772, 1612, 3564, 280, 2804, 26, 25668, 6772, 1612, 3564, 30, 739, 2227, 6772, 1612, 3564, 27, 284, 665, 1015, 2227, 6772, 1612, 3564, 26, 784, 30, 319, 2227, 6772, 1612, 3564, 711, 291, 436, 2830, 328, 6575, 6772, 1612, 3564, 44, 324, 2830, 32, 2227, 6772, 2301, 3564, 280, 630, 284, 665, 3345, 2227, 6772, 1612, 3564, 26, 784, 30, 319, 2227, 6772, 1612, 3564, 711, 291, 436, 2830, 328, 6575, 6772, 1612, 3564, 44, 324, 2830, 32, 2227, 6772, 2301, 3564, 280, 1665, 284, 665, 622, 2859, 2227, 2301, 34, 26, 784, 711, 291, 442, 630, 1114, 2859 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 4, 6, 4, 4, 6, 6, 6, 4, 3, 3, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 9, 9, 9, 8, 8, 7, 7, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 9, 9, 7, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 6, 6, 6, 5, 5, 5, 8, 8, 10, 9, 10, 10, 10, 12, 13, 13, 11, 12, 12, 12, 12, 9, 10, 11, 11, 9, 6, 6, 10, 11, 11, 9, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 6, 6, 4, 4, 5, 7, 8, 8, 6, 6, 6, 5, 5, 5, 7, 8, 8, 8, 10, 11, 11, 9, 10, 10, 10, 10, 7, 7, 7, 13, 14, 14, 12, 13, 13, 13, 13, 11, 12, 11, 12, 11, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 6, 7, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 8, 8, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 6, 6, 4, 3, 3, 5, 5, 5, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 6, 6, 4, 3, 3, 5, 5, 5, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7 ]
[ 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 0, 0, 0, 5, 2, 2, 2, 0, 0, 0, 7, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 2, 2, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 2, 2, 2, 2, 4, 4, 11, 1, 1, 1, 1, 2, 1, 2, 2, 2, 11, 11, 0, 0, 0, 3, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 13, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 13, 13, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 14, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 14, 14, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 15, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 1, 2 ]
[ 2051, 316, 203, 465, 2322, 203, 465, 7744, 203, 465, 6436, 203, 465, 3619, 366, 94, 32, 16780, 203, 465, 3619, 34954, 32, 16780, 203, 81, 98, 2548, 280, 2149, 203, 589, 622, 81, 7132, 26, 983, 711, 284, 415, 1519, 328, 617, 98, 2548, 44, 291, 442, 617, 98, 2548, 77, 983, 79, 284, 813, 44, 291, 19176, 280, 6436, 32, 944, 2760, 26, 983, 30, 15379, 887, 47, 36, 27, 291, 617, 7132, 280, 3619, 366, 94, 32, 16780, 32, 4997, 720, 720, 36, 2863, 2863, 81, 6877, 26, 7132, 32, 25880, 1157, 291, 617, 98, 2548, 77, 983, 79, 280, 617, 7132, 291, 442, 617, 7132, 203, 589, 19176, 26, 1163, 30, 4308, 30, 4844, 1057, 12249, 7831, 284, 1519, 280, 2322, 32, 983, 32, 2524, 26, 978, 34954, 32, 16780, 32, 371, 81, 978, 34954, 81, 983, 26, 1163, 471, 330, 750, 370, 4844, 27, 284, 415, 316, 32, 2872, 463, 80, 76, 6271, 77, 35, 38, 16211, 370, 4308, 710, 14211, 37886, 291, 442, 622, 81, 7132, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 330, 76, 6271, 35, 32, 4700, 2847, 284, 4348, 316, 32, 2872, 463, 80, 76, 6271, 77, 36, 40, 16211, 370, 4308, 710, 14211, 37886, 291, 442, 622, 81, 7132, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 330, 76, 6271, 36, 32, 4700, 2847, 284, 4348, 316, 32, 2872, 463, 80, 76, 6271, 37, 37143, 4308, 710, 14211, 37886, 291, 442, 622, 81, 7132, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 330, 76, 6271, 37, 32, 4700, 2847, 284, 4348, 316, 32, 2872, 463, 80, 76, 6271, 39, 37143, 4308, 710, 14211, 37886, 291, 442, 622, 81, 7132, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 330, 76, 6271, 39, 32, 4700, 2847, 284, 4348, 316, 32, 2872, 463, 80, 24279, 4987, 86, 110, 35, 34, 9501, 370, 4308, 710, 14211, 37886, 291, 442, 622, 81, 7132, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 4308, 710, 14211, 785, 474, 5608, 4700, 2847, 284, 4348, 4308, 710, 14211, 785, 610, 330, 54, 6044, 76, 35, 950, 291, 442, 622, 81, 7132, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 330, 54, 6044, 76, 35, 370, 596, 26, 4642, 710, 1473, 4119, 3490, 474, 5608, 4700, 2847, 284, 4348, 316, 32, 2872, 463, 80, 54, 6044, 76, 77, 36, 37, 38, 16211, 370, 4308, 710, 14211, 37886, 291, 415, 4308, 710, 1473, 4119, 785, 610, 225, 36, 44, 324, 442, 622, 81, 7132, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 330, 54, 6044, 76, 39, 370, 596, 26, 4642, 710, 1473, 4119, 3490, 474, 5608, 4700, 2847, 291, 813, 44, 324, 442, 622, 81, 7132, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 330, 54, 6044, 76, 36, 370, 596, 26, 4642, 710, 1473, 4119, 3490, 474, 5608, 4700, 2847, 284, 4348, 316, 32, 2872, 463, 80, 54, 6044, 76, 77, 39, 40, 16211, 370, 4308, 710, 14211, 37886, 291, 442, 622, 81, 7132, 26, 500, 32, 983, 32, 2524, 26, 983 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 5, 3, 3, 3, 5, 7, 7, 6, 7, 6, 3, 3, 4, 4, 4, 7, 7, 9, 10, 10, 9, 10, 9, 9, 11, 10, 11, 9, 5, 5, 8, 7, 7, 11, 11, 10, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 12, 11, 12, 11, 5, 5, 9, 9, 8, 9, 8, 7, 7, 8, 5, 5, 6, 7, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 5, 5, 1, 1, 4, 4, 7, 8, 6, 7, 6, 10, 10, 9, 10, 8, 9, 9, 9, 9, 9, 9, 8, 9, 8, 6, 8, 8, 6, 6, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 8, 3, 3, 5, 7, 7, 7, 11, 10, 11, 9, 10, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 3, 3, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 4, 4, 6, 8, 8, 8, 12, 11, 12, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 3, 3, 4, 6, 7, 6, 8, 8, 8, 8, 8, 6, 7, 9, 9, 4, 4, 6, 8, 8, 8, 12, 11, 12, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 3, 3, 4, 6, 7, 6, 8, 8, 8, 8, 8, 6, 7, 9, 9, 4, 4, 6, 8, 8, 8, 12, 11, 12, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 3, 3, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 4, 4, 6, 8, 8, 8, 12, 11, 12, 10, 11, 10, 11, 10, 10, 12, 14, 14, 11, 11, 13, 13, 3, 3, 4, 6, 8, 8, 5, 5, 7, 7, 7, 7, 7, 4, 4, 6, 8, 8, 8, 12, 11, 12, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 12, 10, 13, 15, 14, 16, 16, 16, 11, 11, 13, 13, 3, 3, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 4, 4, 6, 8, 10, 10, 10, 7, 7, 8, 6, 6, 6, 8, 10, 10, 10, 14, 13, 14, 12, 13, 12, 13, 12, 12, 14, 14, 14, 14, 14, 12, 15, 17, 16, 18, 18, 18, 13, 13, 15, 15, 6, 6, 7, 7, 7, 9, 11, 11, 11, 15, 14, 15, 13, 14, 13, 14, 13, 13, 15, 15, 15, 15, 15, 13, 16, 18, 17, 19, 19, 19, 14, 14, 16, 16, 3, 3, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 4, 4, 6, 8, 8, 8, 12, 11, 12, 10, 11, 10, 11 ]
[ 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 1, 2, 0, 6, 6, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 3, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 3, 1, 0, 9, 9, 2, 1, 2, 2, 2, 2, 5, 1, 2, 9, 9, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 5, 5, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 6, 6, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 7, 7, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 3, 3, 1, 2, 1, 1, 8, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 5, 5, 1, 2, 1, 1, 9, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 9, 9, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 5, 5, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 5, 5, 1, 2, 1, 1, 10, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 10, 10, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1 ]
[ 465, 5741, 30, 27374, 203, 1070, 1133, 1188, 9368, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 465, 26313, 203, 1070, 225, 4941, 32, 2195, 1188, 12379, 2059, 3900, 5411, 366, 203, 823, 439, 899, 9034, 26, 6276, 2059, 3900, 5411, 366, 711, 284, 665, 1156, 1664, 3207, 784, 30, 485, 1575, 644, 15340, 81, 2195, 711, 291, 630, 32, 89, 1575, 644, 15340, 81, 2195, 280, 485, 1575, 644, 15340, 81, 2195, 291, 1359, 280, 485, 1575, 644, 15340, 81, 2195, 32, 1163, 710, 29123, 785, 291, 630, 32, 6565, 280, 1359, 32, 371, 4398, 463, 6565, 370, 3177, 27, 291, 415, 646, 630, 32, 6565, 44, 324, 442, 291, 36935, 280, 1359, 710, 25465, 785, 291, 2145, 280, 330, 4941, 32, 6172, 32, 48649, 32, 7598, 25, 291, 3882, 280, 1359, 710, 1956, 785, 291, 2601, 280, 225, 40, 40, 40, 41, 291, 12379, 2059, 3900, 5411, 366, 3667, 1664, 3207, 784, 30, 10440, 1786, 30, 2601, 30, 3882, 14155, 1891, 36935, 30, 36935, 27, 291, 630, 32, 3237, 280, 1359, 710, 3237, 785, 291, 630, 32, 18046, 2265, 280, 26313, 32, 6421, 26, 40, 34, 30, 630, 32, 27974, 547, 1366, 346, 291, 630, 32, 2135, 81, 7075, 280, 7138, 32, 44026, 346, 284, 665, 4719, 26, 784, 711, 291, 630, 32, 18235, 346, 284, 665, 544, 81, 19883, 26, 784, 30, 3387, 30, 484, 711, 291, 3387, 32, 2524, 26, 784, 32, 3237, 27, 291, 3387, 32, 470, 81, 3306, 81, 3248, 26, 34, 32, 39, 27, 291, 3387, 32, 2714, 81, 1294, 463, 11886, 10980, 499, 48649, 32, 7598, 33, 7621, 683, 291, 3387, 32, 2714, 81, 1294, 463, 11886, 10980, 499, 48649, 32, 7598, 33, 3963, 683, 291, 5741, 32, 1338, 463, 11877, 372, 3826, 11834, 284, 665, 36447, 26, 784, 711, 291, 415, 7138, 32, 44026, 346, 429, 630, 32, 2135, 81, 7075, 848, 30784, 26, 18461, 47, 41, 711, 324, 630, 32, 2135, 81, 7075, 280, 7138, 32, 44026, 346, 324, 5741, 32, 5691, 463, 39094, 2265, 14098, 15058, 3387, 32, 902, 42660, 11834, 324, 630, 32, 3841, 32, 18235, 346, 324, 9368, 26, 35, 34, 27, 324, 630, 32, 3841, 32, 36227, 346, 291, 630, 32, 18046, 2265, 280, 26313, 32, 6421, 26, 40, 34, 30, 630, 32, 27974, 547, 1366, 346, 284, 665, 544, 81, 7075, 26, 784, 30, 3387, 30, 484, 711, 291, 630, 32, 2135, 81, 7075, 280, 7138, 32, 44026, 346, 284, 665, 544, 81, 2862, 2076, 26, 784, 30, 3387, 30, 484, 711, 291, 1474, 280, 484, 32, 8299, 77, 34, 79, 291, 7045, 280, 484, 32, 1855, 32, 14987, 291, 5911, 280, 301, 678, 81, 853, 1365, 678, 18270, 1202, 81, 853, 1365, 853, 1446, 436, 1202, 81, 853, 328, 484, 32, 3963, 111, 291, 438, 81, 2300, 280, 3177, 291, 415, 330, 496, 31, 681, 25, 328, 5911, 44, 324, 438, 81, 2300, 280, 1560, 26, 3963, 710, 496, 31, 681, 3490, 291, 415, 7045, 610, 630, 32, 3237, 77, 35, 44, 2786, 324, 438, 81, 2300, 280, 2933, 291, 415, 308, 1657, 26, 1436, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 6, 6, 9, 9, 9, 9, 9, 8, 9, 7, 9, 9, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 10, 10, 8, 8, 4, 4, 5, 6, 7, 8, 5, 5, 5, 4, 4, 6, 6, 7, 9, 9, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 7, 9, 9, 4, 4, 6, 6, 7, 7, 7, 7, 4, 4, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 10, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 8, 6, 6, 10, 11, 10, 11, 11, 10, 10, 11, 12, 10, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 9, 10, 9, 7, 7, 8, 9, 9, 9, 6, 6, 8, 10, 9, 10, 8, 5, 5, 9, 10, 10, 10, 8, 8, 10, 11, 10, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 10, 11, 9, 10, 9, 6, 6, 9, 10, 10, 9, 6, 6, 10, 11, 9, 10, 9, 4, 4, 7, 8, 8, 6, 6, 10, 11, 10, 11, 11, 10, 10, 11, 12, 10, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 7, 8, 7, 4, 4, 6, 6, 8, 9, 7, 8, 4, 4, 6, 6, 10, 10, 10, 9, 11, 11, 8, 10, 10, 9, 11, 11, 7, 8, 9, 9, 8, 8, 9, 10, 7, 4, 4, 7, 7, 6, 6, 4, 4, 5, 8, 8, 8, 8, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 12, 11, 13, 13, 13, 13, 4, 4, 5, 6, 6, 8, 9, 7, 9, 8, 7, 5, 5, 9, 9, 8, 8, 4, 4, 5, 11, 11, 12, 11 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 2, 3, 3, 3, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 4, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 0, 2, 2, 0, 2, 2, 5, 5, 0, 0, 0, 0, 4, 4, 6, 0, 1, 1, 1 ]
[ 465, 2322, 203, 500, 32, 12757, 710, 5754, 81, 10509, 81, 4683, 81, 3602, 81, 10729, 785, 1057, 36, 25, 203, 465, 14785, 619, 5239, 203, 6690, 280, 5239, 32, 26063, 3135, 346, 203, 106, 280, 5239, 32, 3855, 81, 10586, 24562, 261, 203, 107, 280, 5239, 32, 3855, 81, 10586, 24562, 203, 541, 280, 5239, 32, 1328, 26, 4213, 32, 24744, 26, 106, 30, 533, 471, 9254, 44, 5239, 32, 669, 26, 106, 30, 533, 471, 9254, 44, 5239, 32, 25330, 26, 106, 30, 533, 490, 203, 106, 280, 5239, 32, 3855, 81, 10586, 25619, 429, 35, 30, 225, 35, 30, 9710, 47, 4213, 32, 1808, 37, 36, 27, 203, 107, 280, 5239, 32, 3855, 81, 10586, 25619, 429, 35, 30, 225, 35, 30, 9710, 47, 4213, 32, 1808, 37, 36, 27, 203, 541, 280, 5239, 32, 1732, 1371, 4213, 32, 2274, 26, 106, 30, 533, 711, 9254, 44, 5239, 32, 669, 26, 106, 30, 533, 471, 8667, 202, 4213, 32, 24744, 26, 106, 30, 533, 711, 9254, 44, 5239, 32, 25330, 26, 106, 30, 533, 11918, 8667, 202, 1536, 47, 5962, 44, 5239, 32, 8662, 26, 34, 32, 34, 471, 27765, 47, 1815, 27, 203, 106, 280, 5239, 32, 8662, 21145, 34, 30, 429, 36, 30, 429, 35, 614, 428, 34, 30, 225, 35, 30, 225, 36, 13138, 203, 107, 280, 5239, 32, 9880, 81, 6228, 26, 106, 27, 203, 541, 280, 5239, 32, 2228, 26, 106, 30, 533, 27, 203, 106, 280, 5239, 32, 8662, 2009, 36, 43, 32, 34, 39, 34, 42, 42, 42, 34, 40, 30, 261, 36, 41, 32, 40, 35, 36, 43, 42, 43, 38, 37, 30, 261, 37, 35, 32, 35, 43, 34, 41, 37, 38, 42, 40, 30, 261, 36, 43, 32, 37, 39, 39, 37, 36, 43, 39, 35, 30, 355, 263, 37, 34, 32, 43, 41, 36, 40, 40, 34, 34, 40, 30, 261, 36, 40, 32, 40, 41, 39, 38, 35, 42, 42, 39, 30, 261, 37, 42, 32, 34, 42, 38, 39, 34, 37, 35, 41, 30, 261, 36, 34, 32, 41, 38, 43, 42, 37, 36, 35, 39, 30, 355, 263, 37, 38, 32, 43, 38, 38, 38, 39, 38, 35, 43, 30, 261, 37, 38, 32, 38, 39, 43, 43, 43, 35, 38, 40, 30, 261, 36, 43, 32, 34, 40, 38, 42, 39, 37, 40, 41, 30, 261, 37, 40, 32, 34, 35, 40, 39, 41, 35, 34, 38, 30, 355, 263, 36, 41, 32, 42, 42, 36, 37, 40, 38, 36, 41, 30, 261, 36, 34, 32, 39, 40, 34, 37, 39, 36, 37, 37, 30, 261, 37, 34, 32, 36, 34, 37, 41, 43, 34, 40, 40, 30, 261, 36, 43, 32, 39, 35, 36, 35, 39, 35, 41, 36, 30, 355, 263, 37, 37, 32, 41, 35, 35, 38, 43, 38, 38, 39, 30, 261, 36, 42, 32, 39, 43, 35, 37, 38, 36, 43, 37, 30, 261, 37, 40, 32, 34, 39, 39, 39, 40, 38, 42, 42, 30, 261, 36, 42, 32, 40, 40, 43, 43, 38, 42, 39, 42, 1130 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 4, 0, 1, 1, 2, 2, 0, 3, 2, 2, 4, 5, 5, 4, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 2, 2, 4, 5, 4, 7, 6, 7, 6, 7, 6, 6, 6, 4, 5, 5, 7, 8, 7, 8, 7, 7, 7, 4, 5, 5, 7, 8, 7, 8, 7, 7, 7, 0, 3, 2, 2, 4, 5, 5, 5, 4, 4, 6, 4, 4, 5, 4, 4, 5, 7, 6, 7, 7, 7, 4, 0, 3, 2, 2, 4, 5, 5, 5, 4, 4, 6, 4, 4, 5, 4, 4, 5, 7, 6, 7, 7, 7, 4, 0, 3, 2, 2, 4, 5, 4, 9, 8, 9, 8, 9, 8, 8, 8, 6, 7, 7, 9, 10, 9, 10, 9, 9, 9, 5, 5, 9, 8, 9, 8, 9, 8, 8, 8, 6, 7, 7, 9, 10, 9, 10, 9, 9, 9, 4, 4, 6, 5, 6, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 5, 6, 4, 0, 3, 2, 2, 4, 5, 4, 7, 6, 6, 8, 6, 6, 8, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 5, 4, 0, 3, 2, 2, 4, 5, 4, 5, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5 ]
[ 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 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, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 1, 1, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 1, 1, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 1, 1, 1, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 1, 1, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 1, 1, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 1, 1, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 1, 1, 1, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 1, 1, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 1, 1, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 1, 1, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 1, 1, 1, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 1, 1, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 1, 1, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 1, 1, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 1 ]
[ 465, 2322, 203, 465, 16539, 203, 465, 5592, 8358, 32, 1786, 619, 16215, 203, 465, 1133, 203, 465, 5237, 203, 465, 43008, 619, 7680, 203, 1270, 44, 284, 1188, 3619, 507, 581, 203, 7343, 29986, 44, 284, 3097, 203, 823, 7946, 8211, 1972, 44, 284, 477, 16099, 284, 665, 622, 81, 3337, 81, 426, 2262, 291, 3706, 280, 2322, 32, 26366, 4207, 3731, 33, 823, 33, 1299, 657, 291, 3706, 32, 2546, 440, 315, 657, 291, 415, 313, 9968, 34, 20, 328, 3706, 44, 324, 442, 313, 9968, 34, 20, 291, 442, 3706, 77, 34, 79, 284, 665, 739, 81, 7843, 26, 784, 30, 8382, 30, 7459, 47, 35, 34, 32, 34, 711, 291, 1596, 44, 324, 16539, 32, 1553, 81, 1851, 26, 400, 428, 528, 313, 5478, 392, 528, 313, 99, 28494, 392, 528, 313, 669, 392, 528, 313, 1902, 392, 528, 630, 32, 371, 81, 3337, 81, 426, 1026, 528, 313, 2388, 392, 528, 313, 2956, 392, 528, 313, 35, 9318, 528, 313, 45549, 392, 400, 1481, 324, 829, 324, 16539, 32, 1553, 81, 1851, 26, 400, 428, 528, 313, 5478, 392, 528, 313, 99, 28494, 392, 528, 313, 669, 392, 528, 313, 1902, 392, 528, 630, 32, 371, 81, 3337, 81, 426, 1026, 528, 313, 2544, 392, 528, 313, 35, 44, 37, 392, 528, 313, 2956, 392, 528, 313, 37, 34, 9318, 528, 313, 1299, 405, 392, 528, 313, 7843, 392, 528, 2884, 23, 6521, 4215, 20, 904, 308, 4215, 319, 225, 35, 34, 34, 34, 3662, 400, 1481, 324, 829, 324, 436, 2601, 328, 2884, 37, 42, 43, 392, 313, 40, 37, 40, 10280, 400, 16539, 32, 1553, 81, 1851, 26, 528, 428, 715, 313, 5478, 392, 715, 313, 2029, 392, 715, 313, 669, 392, 715, 313, 1902, 392, 715, 630, 32, 371, 81, 3337, 81, 426, 1026, 715, 313, 5721, 392, 715, 313, 639, 392, 715, 313, 2544, 392, 715, 313, 35, 44, 34, 392, 715, 313, 103, 37, 36, 392, 715, 313, 2872, 392, 715, 313, 639, 392, 715, 313, 22988, 392, 715, 2601, 30, 715, 313, 34, 4210, 392, 715, 313, 1867, 314, 392, 715, 313, 35, 44, 37, 392, 528, 1481, 400, 829, 324, 442, 2933, 291, 2940, 16539, 32, 9402, 2861, 924, 44, 324, 442, 3177, 284, 665, 3345, 81, 7843, 26, 784, 711, 291, 1596, 44, 324, 16539, 32, 1553, 81, 1851, 26, 400, 3037, 5478, 392, 313, 99, 28494, 392, 313, 4025, 392, 313, 1902, 392, 630, 32, 371, 81, 3337, 81, 426, 1026, 313, 2388, 1446, 324, 829, 324, 442, 2933, 291, 2940, 16539, 32, 9402, 2861, 924, 44, 324, 442, 3177, 203, 823, 9489, 8211, 1972, 44, 284, 665, 739, 81, 7843, 26, 784, 30, 8382, 30, 7459, 47, 35, 34, 32, 34, 711, 291, 623, 2156, 4207, 6698, 33, 7132, 32, 2957, 657, 619, 11828, 44, 324, 3570, 280, 11828, 32, 850, 346, 324, 3570, 1454, 3228, 1442, 378, 95, 841, 364, 31, 9920, 313, 95, 520, 7646, 96, 9920, 313, 95, 520, 7646, 96, 25, 324, 5750, 280, 308, 400, 313, 32510, 95, 841, 364, 328, 8271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 4, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 5, 5, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 8, 10, 10, 5, 5, 6, 9, 9, 9, 7, 7, 6, 6, 6, 8, 10, 10, 10, 5, 5, 6, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 4, 3, 3, 5, 5, 5, 9, 10, 10, 10, 9, 9, 9, 10, 10, 12, 12, 10, 10, 12, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 10, 10, 12, 13, 13, 13, 13, 13, 12, 10, 10, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 10, 10, 9, 9, 6, 6, 9, 10, 10, 10, 9, 9, 9, 10, 10, 12, 12, 10, 10, 12, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 10, 10, 12, 13, 13, 13, 13, 13, 12, 10, 10, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 12, 10, 10, 12, 12, 12, 10, 10, 12, 12, 10, 10, 14, 14, 14, 14, 12, 12, 15, 14, 14, 15, 15, 15, 15, 13, 10, 10, 9, 9, 6, 6, 7, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 11, 12, 12, 12, 11, 11, 11, 12, 12, 14, 14, 12, 12, 14, 14, 12, 12, 14, 14, 12, 12, 14, 14, 12, 12, 14, 15, 15, 15, 15, 15, 14, 12, 12, 14, 14, 12, 12, 14, 14, 12, 12, 14, 14, 12, 12, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 12, 12, 14, 14, 12, 12, 14, 14, 12, 12, 14, 14, 12, 12, 12, 12, 12, 14, 14, 14, 12, 12, 14, 14, 14, 12, 12, 14, 14, 14, 14, 12, 12, 11, 11, 6, 6, 7, 5, 5, 6, 7, 8, 8, 8, 6, 6, 6, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 10, 10, 10, 9, 9, 9, 12, 12, 10, 12, 12, 12, 10, 12, 12, 10, 12, 12, 10, 12, 13, 13, 13, 13, 13, 12, 10, 12, 12, 9, 9, 6, 6, 7, 5, 5, 6, 7, 8, 8, 8, 6, 6, 6, 8, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 4, 3, 3, 5, 10, 12, 12, 12, 12, 12, 12, 8, 8, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 8, 8, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 11, 10, 6, 6, 8, 8, 9, 9, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 0, 6, 6, 6, 6, 0, 0, 0, 6, 3, 3, 3, 3, 3, 0, 7, 7, 1, 1, 7, 7, 7, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 4, 4, 3, 1, 2, 1, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 0, 0, 3, 1, 2, 2, 2, 3, 3, 3, 0, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 3, 1, 2, 2, 2, 3, 3, 3, 0, 0, 8, 8, 1, 1, 8, 8, 8, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1 ]
[ 465, 5741, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 2200, 1188, 3240, 81, 2200, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 1070, 8527, 32, 2387, 32, 4554, 1188, 2908, 81, 452, 81, 800, 203, 4073, 280, 5741, 32, 10579, 4064, 761, 8223, 203, 589, 3240, 81, 13968, 81, 1935, 81, 452, 81, 7123, 26, 29761, 30, 4096, 30, 636, 47, 2521, 711, 284, 5881, 4863, 600, 4096, 372, 322, 9697, 623, 312, 2552, 372, 3623, 33255, 284, 1670, 322, 13798, 4096, 438, 3502, 30, 458, 1098, 45889, 3547, 32, 886, 5966, 436, 458, 438, 688, 458, 438, 1654, 328, 322, 11837, 284, 7290, 30, 461, 415, 996, 3636, 600, 1048, 2442, 30, 561, 1098, 14865, 322, 11837, 6141, 30, 461, 821, 688, 2260, 996, 1159, 11353, 284, 1351, 3886, 12753, 1182, 3635, 2876, 21239, 3026, 33255, 32, 284, 20750, 322, 16719, 31, 1719, 438, 5590, 688, 415, 322, 9697, 8158, 372, 2355, 312, 2080, 4096, 2965, 30, 2953, 1098, 646, 7768, 284, 600, 4096, 32, 11228, 1098, 11510, 30, 1159, 4674, 16554, 372, 3240, 322, 38820, 2471, 4729, 4096, 821, 322, 284, 38820, 31, 5110, 1938, 32, 284, 5881, 284, 415, 646, 4096, 44, 291, 442, 284, 415, 646, 636, 44, 291, 636, 280, 4096, 284, 372, 81, 2468, 280, 296, 15907, 426, 111, 333, 109, 1935, 4872, 25, 284, 5383, 280, 330, 54, 5225, 23456, 7200, 391, 12430, 1224, 6599, 16284, 327, 364, 25, 284, 4755, 280, 13957, 32, 5740, 32, 371, 81, 1700, 346, 284, 38820, 81, 965, 280, 296, 25, 641, 45268, 2851, 32, 4116, 3451, 29761, 32, 371, 81, 11148, 81, 965, 346, 8129, 284, 3361, 280, 2908, 81, 452, 81, 800, 463, 29761, 81, 1935, 32, 2760, 370, 301, 291, 330, 29761, 950, 38820, 30, 291, 330, 965, 950, 38820, 81, 965, 30, 284, 1790, 284, 3240, 81, 2200, 26, 291, 5383, 30, 291, 3361, 30, 291, 4070, 32, 37867, 1218, 81, 17945, 81, 9067, 81, 12339, 30, 291, 428, 452, 81, 2468, 614, 291, 3547, 81, 10411, 12636, 47, 2700, 30, 284, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 5, 4, 8, 7, 8, 6, 7, 7, 7, 6, 2, 5, 5, 5, 4, 6, 6, 6, 6, 8, 7, 8, 6, 9, 8, 9, 9, 9, 9, 9, 8, 6, 2, 5, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 9, 9, 7, 7, 6, 2, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 7, 7, 7, 5, 5, 7, 7, 7, 7, 6, 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 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 2, 1, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 3, 1, 3, 5, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 3, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 0, 1, 3, 2, 2, 2, 3, 3, 1, 4, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 0, 5, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 7, 1, 1, 1, 1, 1, 0, 0, 0, 0, 9, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 11993, 1188, 6204, 30, 19209, 30, 1682, 30, 5648, 30, 16736, 30, 16545, 203, 465, 3619, 203, 1070, 310, 1271, 32, 4073, 1188, 4082, 203, 1070, 310, 1271, 32, 98, 1676, 1188, 298, 1676, 203, 823, 5718, 5288, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5966, 44, 596, 280, 1665, 27, 967, 1665, 44, 291, 2599, 26, 2019, 5288, 30, 630, 14585, 1664, 3207, 10354, 27, 291, 630, 32, 10354, 280, 5966, 203, 589, 1510, 26, 5784, 44, 596, 30, 7842, 44, 5648, 77, 720, 77, 466, 13138, 967, 596, 44, 284, 3536, 81, 983, 280, 1665, 284, 415, 7842, 44, 291, 3536, 81, 983, 280, 3619, 32, 983, 32, 1696, 32, 3731, 1809, 26, 5784, 30, 7842, 47, 8478, 27, 284, 415, 3536, 81, 983, 44, 291, 442, 3536, 81, 983, 32, 466, 983, 284, 3536, 81, 983, 280, 3619, 32, 983, 32, 1696, 32, 3731, 1809, 26, 5784, 27, 284, 415, 3536, 81, 983, 44, 291, 442, 3536, 81, 983, 32, 466, 983, 284, 4082, 32, 731, 440, 5747, 2149, 646, 2431, 35145, 1643, 26, 5784, 490, 284, 3636, 5718, 5288, 440, 5747, 2149, 646, 2431, 2296, 1643, 26, 5784, 490, 203, 589, 617, 6008, 81, 2121, 26, 2121, 44, 5648, 77, 2665, 1130, 967, 5648, 77, 2665, 2786, 284, 415, 4533, 438, 1665, 44, 291, 442, 1665, 284, 5063, 81, 2121, 280, 2149, 284, 5063, 81, 2121, 1365, 12882, 7789, 1446, 280, 2322, 32, 12757, 32, 371, 440, 12882, 7789, 392, 7746, 284, 5063, 81, 2121, 32, 1877, 26, 2121, 27, 284, 442, 5063, 81, 2121, 203, 589, 1420, 26, 284, 2181, 44, 16736, 77, 466, 614, 284, 9305, 284, 4533, 44, 5648, 77, 2665, 79, 280, 1665, 30, 284, 32740, 44, 1560, 280, 3177, 30, 284, 7842, 44, 5648, 77, 720, 77, 466, 3212, 280, 1665, 30, 284, 3117, 81, 7787, 44, 5648, 77, 17325, 77, 410, 3212, 280, 1665, 30, 284, 1245, 44, 1560, 280, 2933, 30, 284, 6594, 44, 1560, 280, 3177, 30, 284, 1115, 98, 1676, 81, 93, 3604, 44, 6204, 203, 27, 967, 16545, 77, 466, 30, 1560, 2786, 284, 415, 3117, 81, 7787, 438, 1665, 44, 291, 3117, 81, 7787, 280, 428, 34, 79, 284, 4774, 30, 2181, 280, 2181, 77, 34, 614, 2181, 77, 35, 10056, 284, 3536, 81, 3515, 280, 19436, 16531, 1643, 26, 3515, 30, 313, 4939, 2524, 26, 1132, 490, 284, 4774, 81, 983, 280, 1510, 26, 3515, 30, 7842, 27, 284, 415, 1245, 44, 291, 4082, 32, 1338, 26, 2620, 81, 3515, 27, 291, 438, 81, 6173, 81, 3732, 280, 7842, 438, 646, 1665, 461, 646, 1346, 26, 324, 4774, 81, 983, 32, 15990, 26, 983, 27, 436, 1519, 328, 7842, 291, 829, 291, 415, 438, 81, 6173, 81, 3732, 44, 324, 415, 6594, 610, 313, 731, 563, 400, 4082, 32, 731, 26, 528, 313, 924, 44, 2149, 438, 646, 6713, 1991, 322, 41483, 30, 561, 438, 15282, 821, 2149, 32, 313, 528, 313, 6129, 6594, 47, 1815, 1991, 1420, 346, 372, 13413, 2608, 458, 35145, 1643, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 3, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 4, 3, 3, 2, 2, 3, 3, 6, 9, 9, 11, 9, 1, 1, 1, 1, 1, 5, 5, 4, 4, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 10, 11, 9, 10, 8, 9, 9, 8, 9, 8, 8, 9, 10, 8, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 7, 6, 7, 7, 2, 2, 5, 5, 4, 4, 8, 9, 7, 8, 6, 7, 7, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 7, 6, 7, 7, 2, 2, 5, 6, 5, 9, 9, 9, 9, 9, 8, 7, 8, 7, 2, 2, 3, 5, 5, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 4, 3, 3, 6, 8, 6, 1, 1, 4, 6, 4, 1, 1, 3, 4, 4, 3, 3, 3, 5, 2, 2, 5, 5, 4, 4, 2, 2, 6, 6, 5, 7, 7, 7, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 6, 2, 2, 6, 6, 5, 6, 5, 6, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 6, 8, 6, 2, 2, 2, 2, 3, 3, 6, 8, 6, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 6, 9, 9, 11, 9, 3, 3, 2, 2, 2, 4, 4, 3, 3, 6, 9, 9, 11, 9, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 5, 5, 3, 3, 2, 2, 1, 1, 4, 6, 4, 4, 4, 1, 1, 3, 5, 5, 4, 4, 3, 3, 3, 7, 7, 6, 6, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 5, 6, 8, 7, 2, 2, 5, 5, 4, 4, 8, 7, 6, 7, 6, 6, 10, 9, 8, 9, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 2, 2, 3, 3, 3, 3, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 8, 7, 7, 8, 10, 10, 10, 13, 13, 12, 13, 12, 13, 12, 10, 11, 11, 11, 10, 10, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 7, 8, 8, 10, 10, 7, 7, 11, 12, 11, 11, 11, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 2, 5, 5, 0, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 6, 6, 0, 2, 0, 0, 0, 7, 7, 2, 0, 1, 1, 2, 2, 3, 3, 1, 0, 1, 0, 1, 7, 7, 7, 7, 7, 0, 0, 0, 0, 6, 6, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 6, 6, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 6, 6, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 6, 6, 4, 1, 1, 4, 4, 4, 0, 0, 0, 1, 2, 2, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 6, 6, 6, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 8, 8, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 8, 8, 1, 0, 1, 8, 8, 0, 1, 1, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 6, 6, 0, 0, 0, 2, 1, 1, 1, 6, 6, 4, 1, 1, 0, 9, 9, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 5, 5, 1, 0, 1, 5, 5, 2, 2, 2, 7, 7, 7, 7, 2, 2, 2, 9, 9, 1, 0, 1, 0, 1, 9, 9, 2, 2, 2, 0, 0, 11, 11, 1, 0, 1, 0, 1, 11, 11, 2, 2, 2, 13, 13, 13, 13, 2, 2, 2, 15, 15, 15, 15, 2, 2, 2, 1, 1, 1, 1, 1, 17, 17, 2, 2, 9, 9, 1, 0, 1, 1, 1, 9, 9, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 6, 6, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 6, 6, 4, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 3, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 465, 5237, 203, 465, 5741, 203, 465, 11685, 203, 465, 8527, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1270, 44, 284, 645, 8527, 32, 2957, 32, 11400, 1188, 15103, 30, 1984, 203, 7343, 29986, 44, 3701, 645, 8527, 32, 2957, 32, 11400, 32, 10514, 1188, 15103, 30, 1984, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 2194, 34747, 30, 21138, 6692, 35104, 30, 40075, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 3139, 17696, 3665, 30, 10156, 30, 5889, 30, 30281, 38, 34, 38, 30, 622, 81, 1423, 81, 4254, 203, 1070, 8527, 32, 1262, 32, 28771, 1188, 5424, 81, 1357, 81, 3893, 203, 1070, 8527, 32, 1199, 1188, 6141, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 2602, 32, 9777, 1188, 41362, 81, 45069, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 17874, 5965, 30, 4688, 38, 34, 38, 203, 1070, 8527, 32, 2304, 32, 2613, 1188, 7841, 81, 2613, 81, 2435, 30, 7841, 81, 36318, 81, 5078, 203, 1070, 273, 633, 2983, 1075, 32, 11753, 1188, 14433, 203, 1070, 273, 633, 2983, 1075, 32, 15194, 1188, 23355, 8466, 203, 1070, 273, 633, 2983, 1075, 32, 8366, 1188, 14092, 203, 1070, 273, 633, 2983, 1075, 32, 2613, 1188, 3139, 2597, 203, 1070, 273, 633, 2983, 1075, 32, 9777, 1188, 11865, 30, 11865, 81, 12003, 81, 16477, 19419, 203, 1070, 273, 633, 2983, 1075, 32, 11452, 1188, 22931, 30, 17768, 30, 8073, 2348, 924, 30, 677, 11013, 3315, 924, 30, 8073, 5206, 924, 30, 7585, 6246, 15718, 30, 48377, 203, 1070, 273, 633, 2983, 1075, 1188, 3829, 203, 1070, 273, 633, 2983, 1075, 1188, 1913, 203, 1070, 273, 633, 2983, 1075, 32, 39531, 1188, 21731, 9693, 203, 1070, 273, 633, 2983, 1075, 32, 34243, 1188, 36415, 203, 1070, 273, 633, 2983, 1075, 32, 38023, 1188, 3772, 43655, 203, 1070, 273, 633, 2983, 1075, 32, 2304, 1188, 438, 81, 1327, 81, 1260, 98, 81, 4383, 81, 853, 30, 5436, 81, 7201, 81, 9941, 81, 3494, 30, 19938, 81, 16227, 203, 1070, 273, 633, 2983, 1075, 32, 2304, 32, 14639, 1188, 9921, 81, 1643, 30, 1968, 81, 1286, 81, 681, 203, 1070, 273, 633, 2983, 1075, 32, 6460, 1188, 11328, 203, 1270, 44, 284, 739, 203, 7343, 3270, 924, 44, 284, 645, 6900, 1188, 1756, 619, 739, 203, 325, 5237, 32, 1648, 81, 1338, 2377, 308, 36, 30, 39, 711, 284, 1596, 44, 291, 645, 1933, 1188, 28667, 284, 2940, 29986, 44, 291, 645, 8527, 32, 2304, 32, 2991, 8524, 1188, 28667, 203, 1824, 44, 284, 1596, 44, 291, 645, 8527, 32, 2304, 32, 2991, 8524, 1188, 28667, 284, 2940, 29986, 44, 291, 645, 1933, 1188, 28667, 203, 1270, 44, 284, 645, 8527, 32, 4338, 32, 28497, 32, 14250, 1188, 23049, 81, 327, 30816, 203, 7343, 29986, 44, 284, 665, 23049, 81, 327, 30816, 26, 1298, 711, 291, 442, 3420, 203, 1270, 44, 284, 645, 8527, 32, 1199, 32, 3378, 32, 9777, 1188, 3907, 2950, 2418, 81, 40047, 203, 7343, 29986, 44, 284, 645, 8527, 32, 1199, 32, 3378, 32, 2602, 32, 9777 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 3, 3, 3, 3, 1, 2, 2, 2, 2, 2, 4, 5, 6, 5, 6, 5, 6, 4, 4, 4, 4, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 4, 4, 4, 5, 5, 0, 1, 1, 3, 4, 4, 4, 2, 2, 4, 3, 4, 3, 1, 1, 3, 3, 3, 5, 5, 5, 3, 3, 4, 4, 4, 4, 6, 7, 8, 7, 8, 8, 6, 6, 1, 2, 2, 2, 2, 4, 4, 4, 6, 7, 8, 7, 8, 8, 6, 6, 4, 4, 5, 5, 5, 5, 7, 7, 7, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 4, 5, 3, 3, 5, 5, 5, 1, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 4, 5, 3, 3, 5, 5, 5, 5, 1, 2, 2, 2, 2, 2, 4, 5, 6, 5, 6, 5, 6, 5, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 6, 6, 0, 1, 2, 1, 4, 0, 0, 0, 0, 6, 3, 3, 3, 3, 3, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 8, 8, 1, 2, 1, 4, 4, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 10, 10, 1, 2, 10, 10, 0, 11, 11, 1, 2, 1, 4, 1, 6, 1, 8, 11, 11, 0, 0, 0, 12, 12, 1, 2, 12, 12, 12, 12, 0, 12, 12, 0, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 1, 2, 14, 14, 0, 15, 15, 0, 0, 0, 1, 2, 15, 15, 0, 0, 16, 16, 0, 0, 0, 1, 2, 16, 16, 0, 17, 17, 0, 0, 0, 1, 2, 17, 17, 0, 0, 18, 18, 0, 0, 0, 1, 2, 18, 18, 18, 18, 0, 0, 0, 0, 0, 0, 19, 19, 0, 0, 0, 1, 2, 19, 19, 19, 19, 19, 19, 0, 0, 19, 19, 0, 0, 0, 19, 19, 0, 0, 19, 19, 0, 0, 19, 19, 0, 20, 20, 0, 0, 0, 20, 20, 0, 21, 21, 0, 0, 0, 21, 21, 0, 22, 22, 0, 0, 0, 1, 2, 22, 22, 0, 0, 23, 23, 0, 0, 0, 1, 2, 23, 23, 0, 24, 24, 0, 0, 0, 1, 2, 24, 24, 0, 0, 25, 25, 0, 0, 0, 1, 2, 25, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 25, 0, 0, 0, 0, 0, 0, 25, 25, 0, 0, 0, 26, 26, 0, 0, 0, 1, 2, 1, 4, 26, 26, 0, 0, 26, 26, 0, 0, 0, 0, 0, 27, 27, 0, 0, 0, 1, 2, 27, 27, 0, 28, 28, 28, 28, 28, 3, 3, 1, 3, 3, 3, 0, 0, 0, 3, 3, 0, 29, 29, 0, 2, 2, 2, 1, 1, 1, 2, 3, 2, 29, 29, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 1, 2, 1, 4, 4, 0, 0, 29, 4, 4, 4, 4, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 30, 30, 30, 30, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 30, 3, 3, 3, 3, 3, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 31, 31, 31, 31, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 0, 31, 3, 3, 3, 3, 3, 0, 1, 2, 1, 4, 1, 6, 1, 8 ]
[ 465, 13625, 203, 465, 17787, 203, 465, 316, 203, 1070, 3833, 1188, 7819, 30, 5799, 30, 2854, 2759, 203, 1070, 8668, 2195, 32, 1567, 1188, 40120, 203, 1327, 81, 2501, 81, 268, 280, 316, 32, 6993, 26, 100, 20, 14747, 105, 19918, 657, 203, 50, 5665, 203, 823, 21804, 26, 1428, 2759, 711, 284, 29077, 4128, 280, 225, 35, 36, 41, 284, 29077, 280, 225, 40, 37, 284, 40305, 280, 225, 34, 284, 37371, 280, 429, 40, 38, 284, 677, 1434, 1675, 635, 280, 429, 35, 36, 42, 203, 50, 5665, 203, 823, 5245, 26, 2759, 711, 284, 17704, 70, 2319, 280, 225, 34, 10065, 17704, 70, 2320, 280, 225, 35, 10065, 41001, 280, 225, 36, 261, 203, 823, 617, 9824, 44, 284, 665, 1156, 1664, 3207, 784, 30, 667, 30, 617, 681, 711, 291, 630, 32, 1126, 280, 667, 291, 630, 32, 681, 280, 617, 681, 291, 630, 32, 5321, 280, 2149, 284, 665, 617, 669, 81, 7133, 26, 784, 30, 10306, 711, 291, 630, 32, 5321, 32, 1877, 26, 5321, 27, 203, 823, 617, 2019, 9824, 2176, 9824, 711, 284, 665, 1156, 1664, 3207, 784, 30, 667, 711, 291, 617, 9824, 3667, 1664, 3207, 784, 30, 667, 30, 313, 2501, 657, 291, 630, 32, 17030, 280, 739, 346, 291, 630, 32, 1831, 81, 7909, 280, 1665, 291, 415, 667, 3667, 1427, 26927, 324, 630, 32, 1427, 280, 667, 3667, 1427, 9818, 2998, 9442, 96, 370, 225, 35, 5594, 34, 79, 291, 813, 44, 324, 630, 32, 1427, 280, 1665, 284, 665, 1015, 81, 7133, 26, 784, 30, 8813, 81, 753, 30, 10306, 711, 291, 630, 1114, 669, 81, 7133, 26, 5321, 27, 291, 415, 646, 8813, 81, 753, 44, 324, 8813, 81, 753, 280, 630, 32, 1126, 3667, 426, 505, 291, 415, 6937, 26, 7909, 81, 753, 30, 596, 711, 324, 8813, 81, 753, 280, 428, 7909, 81, 753, 79, 291, 415, 646, 630, 32, 1831, 81, 7909, 44, 324, 630, 32, 1831, 81, 7909, 280, 8813, 81, 753, 77, 34, 79, 291, 436, 8813, 328, 8813, 81, 753, 44, 324, 415, 646, 2080, 81, 2501, 81, 268, 32, 2872, 26, 7909, 711, 400, 3636, 10091, 440, 3817, 2016, 636, 16531, 1643, 26, 7909, 490, 291, 630, 32, 17030, 32, 1877, 26, 7909, 81, 753, 27, 203, 823, 617, 10851, 9824, 2176, 9824, 711, 284, 665, 1156, 1664, 3207, 784, 30, 667, 711, 291, 617, 9824, 3667, 1664, 3207, 784, 30, 667, 30, 313, 7920, 657, 291, 630, 32, 7920, 307, 280, 1605, 284, 665, 1015, 81, 7133, 26, 784, 30, 9667, 81, 753, 30, 10306, 711, 291, 630, 1114, 669, 81, 7133, 26, 5321, 27, 291, 415, 6937, 26, 7920, 81, 753, 30, 596, 711, 324, 630, 32, 7920, 307, 32, 1689, 26, 268, 32, 6993, 26, 7920, 81, 753, 490, 291, 4348, 19326, 26, 7920, 81, 753, 30, 313, 1903, 10280, 324, 630, 32, 7920, 307, 32, 1689, 26, 7920, 81, 753, 27, 291, 813, 44, 324, 1201, 6937, 26, 7920, 81, 753, 30, 13625, 32, 17325, 27, 324, 436, 316, 81, 452, 81, 2872, 328, 9667, 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, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 2, 3, 1, 2, 2, 3, 4, 4, 3, 2, 2, 6, 5, 5, 6, 6, 6, 3, 3, 5, 5, 6, 6, 3, 3, 5, 5, 6, 3, 3, 5, 5, 7, 7, 3, 3, 6, 6, 6, 5, 5, 7, 7, 7, 0, 2, 3, 1, 2, 2, 3, 4, 3, 2, 2, 6, 6, 5, 5, 6, 3, 3, 6, 6, 5, 5, 6, 3, 3, 5, 5, 6, 0, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 7, 9, 9, 4, 4, 7, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 6, 7, 7, 5, 5, 9, 10, 8, 8, 12, 13, 13, 12, 11, 14, 13, 11, 12, 11, 10, 9, 5, 5, 6, 6, 6, 10, 11, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 8, 7, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 11, 9, 10, 10, 4, 4, 5, 7, 8, 8, 8, 7, 7, 7, 5, 5, 9, 9, 8, 8, 10, 10, 10, 9, 4, 4, 5, 6, 7, 8, 8, 8, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 9, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 7, 8, 11, 11, 11, 11, 10, 11, 10, 11, 10, 7, 7, 9, 11, 15, 15, 15, 15, 14, 13, 14, 13, 4, 4, 8, 9, 7, 8, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 7, 9, 9, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 8, 7, 4, 4, 5, 7, 8, 8, 8, 7, 7, 7, 5, 5, 10, 11, 11, 9, 10, 9, 12, 11, 12, 11, 12, 12, 12, 11, 5, 5, 6, 8, 9, 9, 9, 8, 8, 10, 10, 6, 6, 11, 12, 12, 10, 11, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 8, 10, 11, 11, 11, 10, 10, 11, 12, 10, 7, 7, 8, 9, 9, 9, 9, 8, 8, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 6, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 7, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 8, 8, 1, 8, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 3, 1, 2, 2, 3, 3, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 3, 1, 2, 2, 3, 3, 4, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 2, 2, 3, 3, 3, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3 ]
[ 465, 19493, 203, 465, 2322, 203, 465, 6234, 203, 465, 5237, 203, 465, 1133, 203, 465, 11685, 203, 465, 1692, 730, 203, 1070, 1692, 730, 32, 48040, 1188, 554, 757, 29391, 30, 11748, 81, 27800, 30, 4393, 13624, 203, 1070, 1692, 730, 32, 3592, 1188, 622, 81, 12864, 30, 18792, 203, 505, 464, 505, 280, 428, 284, 330, 14863, 5264, 370, 7610, 14285, 81, 5807, 81, 14247, 370, 330, 470, 81, 3780, 22821, 370, 284, 330, 22251, 81, 10322, 1392, 370, 330, 22251, 81, 37606, 370, 330, 16134, 81, 2203, 370, 330, 16134, 81, 6685, 370, 284, 330, 16080, 81, 4770, 370, 330, 10079, 370, 203, 79, 203, 8451, 81, 3364, 280, 225, 38, 34, 43, 40, 203, 16134, 81, 2203, 280, 739, 1162, 12864, 32, 55, 521, 32121, 30, 19493, 32, 55, 726, 21274, 30, 19493, 32, 55, 18652, 792, 1996, 5357, 490, 203, 16134, 81, 6685, 280, 739, 1162, 34, 30, 19493, 32, 55, 1296, 29302, 490, 203, 325, 5237, 32, 5134, 2867, 37, 79, 610, 313, 4463, 563, 284, 45137, 81, 2203, 32, 669, 26, 12864, 32, 73, 3551, 28829, 27, 264, 203, 325, 18792, 32, 5177, 36, 44, 284, 617, 2958, 36, 81, 761, 1473, 280, 6234, 1114, 761, 1473, 203, 81, 7318, 81, 4817, 280, 1692, 730, 32, 2675, 265, 32, 7318, 463, 4817, 1814, 4817, 203, 589, 6234, 81, 3517, 26, 9664, 30, 2965, 711, 284, 1137, 280, 9866, 32, 3517, 81, 327, 26, 2468, 27, 284, 415, 1137, 328, 45137, 81, 2203, 44, 291, 442, 1665, 284, 415, 1137, 646, 328, 45137, 81, 6685, 44, 291, 3636, 6234, 32, 731, 26, 530, 30, 19493, 32, 731, 687, 77, 530, 1130, 284, 442, 9866, 203, 589, 6234, 81, 1553, 530, 26, 9664, 711, 284, 1137, 280, 9866, 32, 371, 46989, 26, 4817, 32, 18634, 81, 22251, 30, 6234, 32, 3629, 81, 2930, 27, 284, 415, 1137, 646, 328, 45137, 81, 6685, 44, 291, 3636, 6234, 32, 731, 26, 530, 30, 19493, 32, 731, 687, 77, 530, 1130, 203, 589, 6234, 81, 7494, 26, 9664, 711, 284, 1596, 44, 291, 442, 9866, 32, 7494, 346, 284, 2940, 6234, 32, 731, 619, 484, 44, 291, 415, 622, 81, 12864, 26, 87, 27, 610, 19493, 32, 55, 18652, 792, 1996, 5357, 44, 324, 442, 1665, 291, 3636, 203, 325, 5237, 32, 5134, 2867, 37, 79, 610, 313, 4463, 563, 284, 43545, 81, 10322, 1392, 280, 739, 1162, 12864, 32, 55, 1614, 7401, 30, 19493, 32, 55, 18652, 792, 1996, 5357, 33702, 284, 43545, 81, 37606, 280, 739, 1162, 12864, 32, 55, 29302, 13876, 30, 19493, 32, 718, 1194, 29302, 30, 19493, 32, 31304, 1068, 10445, 490, 203, 1824, 44, 284, 43545, 81, 10322, 1392, 280, 739, 1162, 12864, 32, 55, 1614, 7401, 30, 19493, 32, 55, 18652, 792, 1996, 5357, 30, 19493, 32, 718, 1194, 29302, 490, 284, 43545, 81, 37606, 280, 739, 1162, 12864, 32, 55, 29302, 13876, 30, 19493, 32, 31304, 1068, 10445, 30, 19493, 32, 55, 18165, 490, 203, 589, 739, 81, 3780, 22821, 26, 2995, 711, 284, 1596, 44, 291, 739, 22821, 280, 9899, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 7, 6, 7, 7, 7, 5, 5, 6, 7, 7, 7, 5, 5, 6, 7, 7, 7, 7, 7, 5, 0, 3, 3, 3, 2, 2, 4, 6, 5, 5, 6, 7, 7, 7, 5, 0, 1, 1, 4, 5, 3, 5, 3, 2, 2, 4, 4, 1, 1, 6, 6, 5, 6, 5, 7, 6, 7, 7, 7, 5, 0, 0, 1, 1, 2, 3, 3, 1, 1, 1, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 0, 3, 3, 3, 3, 2, 2, 7, 6, 7, 7, 5, 6, 5, 7, 7, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 7, 6, 2, 2, 3, 4, 4, 5, 5, 3, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 5, 3, 3, 3, 5, 7, 8, 7, 8, 7, 7, 9, 10, 10, 8, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 6, 2, 2, 3, 4, 4, 4, 5, 5, 3, 3, 3, 5, 7, 8, 7, 8, 7, 7, 9, 10, 10, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 7, 8, 7, 3, 3, 4, 6, 7, 5, 5, 4, 4, 4, 6, 9, 9, 9, 10, 9, 7, 7, 8, 9, 9, 9, 9, 9, 6, 6, 6, 8, 5, 5, 0, 1, 1, 4, 5, 3, 5, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 4, 4, 6, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 7, 2, 2, 5, 5, 4, 4, 6, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 1, 2, 2, 2, 2, 6, 6, 6, 5, 5, 7, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 3, 3, 6, 6, 5, 5, 7, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 8, 9, 10, 10, 8, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 7, 6, 6, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 13, 13, 0, 2, 0, 1, 0, 1, 1, 1, 2, 13, 13, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 14, 14, 1, 2, 2, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 16, 16, 1, 1, 2, 1, 2, 2, 2, 16, 16, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 3, 2, 3, 4, 4, 3, 0, 17, 17, 1, 1, 1, 2, 1, 2, 17, 17, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 3, 2, 3, 0, 18, 18, 1, 1, 2, 1, 2, 18, 18, 0, 0, 0, 0, 0, 2, 1, 0, 0, 3, 0, 2, 1, 1, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 0, 19, 19, 0, 2, 0, 1, 0, 1, 1, 1, 2, 19, 19, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 19, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 1, 0, 20, 20, 1, 1, 1, 2, 1, 2, 20, 20, 0, 0, 0, 0, 0, 0, 2 ]
[ 465, 15121, 99, 203, 1070, 8668, 88, 10257, 1356, 32, 500, 32, 21533, 1188, 34856, 203, 1070, 8668, 88, 10257, 1356, 32, 500, 32, 21533, 1188, 281, 15130, 203, 1070, 8668, 88, 10257, 1356, 32, 500, 32, 21533, 1188, 3962, 723, 203, 1070, 8668, 88, 10257, 1356, 32, 500, 32, 21533, 1188, 1542, 203, 1070, 8668, 88, 10257, 1356, 32, 2304, 1188, 3744, 81, 1643, 203, 589, 1149, 81, 15688, 26, 2848, 30, 9011, 30, 8668, 81, 426, 30, 17086, 711, 284, 442, 308, 106, 436, 816, 328, 3523, 32, 668, 26, 6933, 30, 8668, 81, 426, 27, 324, 415, 17086, 438, 1665, 556, 17086, 610, 816, 32, 15213, 32, 1473, 81, 314, 32, 314, 27, 203, 589, 20772, 81, 2991, 26, 4687, 30, 12742, 81, 426, 711, 284, 12742, 280, 8444, 32, 19793, 77, 16655, 81, 426, 79, 284, 2467, 280, 12742, 32, 1217, 284, 1561, 81, 3209, 280, 12742, 32, 1855, 284, 623, 1542, 32, 3135, 346, 619, 3523, 44, 291, 3380, 81, 929, 34409, 81, 891, 280, 225, 34, 291, 3380, 81, 7236, 81, 891, 280, 225, 34, 291, 3380, 81, 893, 81, 891, 280, 225, 34, 291, 3497, 318, 81, 27611, 280, 739, 346, 291, 3497, 318, 81, 2242, 280, 739, 346, 291, 436, 2145, 328, 2467, 32, 1903, 26, 2848, 30, 1561, 81, 3209, 30, 34856, 32, 2059, 711, 324, 436, 11227, 34409, 81, 10300, 328, 2145, 32, 929, 34409, 81, 43073, 44, 400, 3380, 81, 929, 34409, 81, 891, 1454, 11227, 34409, 81, 10300, 32, 891, 324, 415, 2145, 32, 893, 438, 646, 1665, 766, 528, 461, 2145, 32, 893, 32, 1473, 81, 314, 646, 328, 3497, 318, 81, 2242, 44, 400, 3380, 81, 893, 81, 891, 1454, 2145, 32, 893, 32, 891, 400, 3497, 318, 81, 2242, 32, 669, 26, 1786, 32, 893, 32, 1473, 81, 314, 27, 324, 436, 6864, 328, 2145, 32, 32947, 81, 27611, 44, 400, 415, 6864, 32, 1473, 81, 314, 646, 328, 3497, 318, 81, 27611, 44, 528, 3380, 81, 7236, 81, 891, 1454, 6864, 32, 891, 528, 3497, 318, 81, 27611, 32, 669, 26, 7236, 32, 1473, 81, 314, 27, 291, 436, 6864, 328, 2467, 32, 1903, 26, 2848, 30, 1561, 81, 3209, 30, 281, 15130, 32, 6795, 711, 324, 415, 6864, 32, 1473, 81, 314, 646, 328, 3497, 318, 81, 27611, 44, 400, 3380, 81, 7236, 81, 891, 1454, 6864, 32, 891, 291, 436, 1778, 328, 2467, 32, 1903, 26, 2848, 30, 1561, 81, 3209, 30, 3962, 723, 32, 1658, 711, 324, 415, 1778, 32, 1473, 81, 314, 646, 328, 3497, 318, 81, 2242, 44, 400, 3380, 81, 893, 81, 891, 1454, 1778, 32, 891, 284, 1459, 330, 12067, 370, 12742, 81, 426, 30, 330, 28344, 1196, 6078, 284, 1459, 330, 9604, 6078, 284, 1459, 330, 225, 8660, 12454, 3744, 81, 1643, 32, 7545, 81, 3972, 26, 2999, 81, 893, 81, 891, 27, 284, 1459, 330, 16185, 34409, 39890, 6078, 284, 1459, 330, 225, 8660, 12454, 3744, 81, 1643, 32, 7545, 81, 3972, 26, 2999, 81, 929, 34409, 81, 891, 27, 284, 1459, 330, 31221, 6078, 284, 1459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 5, 4, 5, 5, 5, 7, 8, 7, 8, 7, 7, 8, 8, 7, 4, 4, 5, 7, 7, 6, 6, 7, 7, 10, 11, 9, 10, 10, 10, 8, 9, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 5, 6, 6, 6, 5, 2, 2, 4, 4, 5, 6, 2, 2, 5, 5, 4, 4, 5, 6, 2, 2, 3, 8, 9, 8, 6, 6, 3, 3, 3, 7, 7, 7, 7, 7, 6, 6, 7, 4, 4, 7, 7, 7, 7, 6, 6, 7, 4, 4, 7, 7, 7, 7, 6, 6, 7, 4, 4, 7, 7, 7, 6, 6, 8, 4, 4, 7, 7, 7, 6, 6, 8, 4, 4, 5, 5, 5, 7, 8, 7, 8, 7, 7, 8, 8, 7, 7, 8, 9, 7, 5, 5, 7, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 7, 7, 7, 11, 11, 11, 11, 11, 10, 10, 12, 12, 12, 11, 12, 6, 6, 7, 10, 11, 9, 9, 9, 8, 9, 8, 8, 11, 12, 10, 11, 11, 11, 9, 9, 9, 10, 10, 10, 7, 7, 7, 11, 11, 11, 11, 10, 10, 12, 13, 11, 12, 8, 8, 12, 12, 12, 11, 12, 11, 14, 13, 14, 12, 13, 13, 13, 11, 6, 6, 7, 7, 7, 8, 9, 9, 9, 7, 7, 7, 9, 11, 12, 12, 12, 10, 10, 10, 11, 11, 11, 9, 9, 9, 13, 13, 13, 13, 12, 12, 13, 14, 10, 10, 14, 14, 14, 13, 14, 13, 15, 14, 15, 15, 15, 13, 4, 4, 5, 5, 5, 7, 8, 7, 8, 7, 7, 8, 8, 7, 7, 9, 8, 9, 7, 5, 5, 7, 9, 10, 10, 10, 8, 8, 8, 9, 9, 9, 7, 7, 7, 11, 11, 11, 11, 10, 10, 11, 12, 4, 4, 5, 5, 5, 7, 8, 7, 8, 7, 7, 8, 8, 7, 7, 9, 8, 9, 7, 5, 5, 7, 9, 10, 10, 10, 8, 8, 8, 9, 9, 9, 7, 7, 7, 11, 11, 11, 11, 10, 10, 11, 12, 2, 2, 3, 5, 5, 3, 4, 4, 3, 3, 5, 5, 5, 2, 2, 3, 5, 5, 2, 2, 3, 5, 5, 5, 3, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 6, 6, 5, 2, 2, 3, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 3, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 5, 2, 2, 3, 5, 5, 2, 2 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 6, 6, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 7, 7, 1, 1, 2, 1, 2, 2, 3, 3, 2, 7, 7, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 3, 0, 2, 1, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 0, 0, 1, 3, 3, 5, 5, 5, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 2, 1, 5, 5, 0, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 5, 5, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 5, 5, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 6, 6, 6, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 0, 5, 2, 1, 6, 6, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 3, 3, 7, 7, 7, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 0, 5, 2, 1, 7, 7, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 4, 1, 2, 4, 3, 3, 4, 4, 1, 1, 1, 4, 4, 5, 1, 1, 4, 4, 6, 1, 1, 1, 6, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 4, 4, 8, 1, 1, 1, 8, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 9, 1, 1, 4, 4 ]
[ 465, 32714, 107, 203, 465, 281, 18342, 81, 681, 36, 32, 1163, 619, 1359, 203, 1070, 281, 18342, 81, 681, 36, 32, 3028, 1188, 390, 18342, 620, 36, 1097, 203, 465, 1984, 2208, 203, 823, 2768, 8617, 26, 37795, 107, 32, 44907, 711, 284, 636, 280, 330, 33439, 81, 681, 36, 25, 284, 665, 1477, 81, 9698, 26, 784, 711, 291, 1914, 280, 18623, 26, 784, 30, 330, 1855, 370, 1665, 27, 291, 415, 1914, 438, 1665, 556, 1914, 646, 328, 1359, 32, 26803, 44, 324, 3636, 3268, 440, 3817, 1914, 3202, 15981, 291, 630, 32, 33982, 81, 1855, 280, 1359, 32, 26803, 77, 1855, 79, 291, 630, 32, 11327, 81, 20798, 280, 630, 32, 33982, 81, 1855, 710, 33891, 81, 16799, 69, 785, 291, 630, 32, 1366, 81, 11400, 280, 630, 32, 33982, 81, 1855, 710, 7383, 81, 2413, 69, 785, 291, 6761, 32714, 107, 32, 1104, 26, 784, 32, 1366, 81, 11400, 77, 34, 614, 3309, 47, 784, 32, 2208, 27, 284, 665, 3185, 26, 784, 30, 1789, 711, 291, 436, 976, 328, 1789, 32, 16689, 26, 784, 32, 33982, 81, 1855, 710, 4613, 81, 12908, 81, 74, 4065, 37886, 324, 1984, 280, 1984, 2208, 32, 965, 2524, 26, 784, 32, 33982, 81, 1855, 710, 6177, 81, 2413, 2188, 976, 32, 8281, 1157, 324, 1459, 330, 28149, 1326, 436, 1984, 499, 330, 474, 1984, 324, 3616, 280, 32714, 107, 32, 1104, 26, 965, 30, 3309, 47, 784, 32, 2208, 81, 1094, 27, 324, 6761, 3616, 284, 665, 3185, 81, 1094, 26, 784, 30, 1789, 711, 291, 1459, 313, 2208, 1623, 436, 1984, 904, 101, 20, 904, 308, 1986, 32, 1357, 32, 965, 27, 291, 1623, 280, 390, 18342, 620, 36, 1097, 346, 291, 436, 1994, 328, 1789, 32, 16689, 26, 784, 32, 33982, 81, 1855, 710, 52, 3602, 81, 11844, 81, 74, 4065, 37886, 324, 19325, 280, 1994, 32, 16689, 26, 784, 32, 33982, 81, 1855, 710, 6896, 1392, 81, 74, 4065, 21229, 8281, 346, 324, 1344, 280, 1994, 32, 16689, 26, 784, 32, 33982, 81, 1855, 710, 6016, 81, 74, 4065, 21229, 8281, 346, 324, 19325, 280, 428, 102, 32, 7201, 346, 436, 273, 328, 19325, 79, 324, 1344, 280, 428, 102, 32, 7201, 346, 436, 273, 328, 1344, 79, 324, 1623, 710, 7114, 785, 280, 313, 4939, 2524, 26, 7114, 27, 324, 1623, 710, 878, 785, 280, 313, 4939, 2524, 26, 878, 27, 324, 1623, 710, 1275, 785, 280, 1994, 32, 16689, 26, 784, 32, 33982, 81, 1855, 710, 16507, 81, 74, 4065, 21229, 8281, 346, 291, 415, 330, 878, 25, 328, 1623, 461, 2069, 26, 1094, 710, 878, 3490, 848, 225, 34, 44, 324, 6761, 1623, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 4, 4, 3, 4, 2, 2, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 8, 10, 10, 8, 8, 4, 4, 5, 7, 7, 6, 6, 7, 7, 7, 8, 9, 5, 5, 5, 7, 9, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 7, 9, 9, 9, 9, 9, 4, 4, 6, 9, 8, 9, 8, 11, 10, 11, 11, 11, 9, 10, 9, 8, 9, 11, 10, 11, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 8, 7, 10, 9, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 5, 5, 8, 8, 11, 10, 11, 11, 10, 13, 12, 13, 13, 13, 11, 13, 13, 13, 13, 10, 12, 13, 12, 6, 6, 7, 10, 10, 10, 10, 10, 10, 8, 8, 6, 6, 8, 8, 11, 10, 11, 10, 11, 10, 10, 11, 13, 12, 13, 13, 13, 10, 6, 6, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 9, 10, 8, 9, 7, 4, 4, 6, 6, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 7, 8, 7, 10, 9, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 8, 8, 12, 13, 12, 15, 14, 15, 15, 15, 13, 15, 15, 15, 15, 15, 15, 11, 10, 6, 6, 8, 8, 12, 13, 12, 15, 14, 15, 15, 15, 13, 15, 15, 15, 15, 15, 11, 10, 6, 6, 8, 8, 12, 11, 12, 11, 9, 10, 10, 10, 9, 6, 6, 8, 8, 12, 11, 12, 11, 9, 10, 10, 10, 9, 6, 6, 9, 11, 11, 8, 8, 12, 11, 10, 11, 10, 6, 6, 9, 11, 11, 8, 8, 12, 11, 10, 11, 10, 6, 6, 9, 11, 11, 8, 8, 12, 13, 12, 15, 14, 15, 15, 15, 13, 15, 15, 15, 15, 15, 11, 10, 4, 4, 5, 9, 9, 7, 7, 6, 6, 9, 11, 10, 12, 12, 7, 7, 8, 5, 5, 5, 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 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 4, 4, 1, 2, 0, 0, 1, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 5, 5, 0, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 5, 5, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 5, 5, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 5, 5, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 3, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 11993, 1188, 14580, 30, 1682, 203, 465, 20536, 103, 3291, 619, 3920, 203, 1070, 6765, 17594, 32, 3527, 32, 2929, 81, 27360, 1188, 10738, 81, 2225, 203, 1070, 6765, 17594, 32, 913, 1188, 45623, 81, 16799, 203, 1070, 6765, 17594, 32, 1262, 1188, 9527, 35263, 203, 1070, 6765, 17594, 32, 8774, 32, 4742, 1188, 14169, 14003, 620, 203, 1070, 6765, 17594, 32, 8774, 32, 33477, 1188, 3383, 620, 203, 1070, 638, 1188, 4085, 10383, 203, 31375, 81, 20740, 280, 10738, 81, 2225, 32, 31375, 81, 20740, 32, 8233, 26, 284, 301, 3060, 32, 5413, 26, 14594, 81, 16799, 711, 4085, 10383, 111, 203, 27, 203, 589, 2498, 81, 4742, 81, 1070, 81, 1163, 26, 284, 1359, 44, 3383, 620, 30, 1359, 81, 6460, 44, 1560, 203, 27, 967, 14169, 14003, 620, 44, 284, 415, 1359, 81, 6460, 44, 291, 1359, 280, 5130, 81, 20740, 26, 1163, 27, 284, 442, 10738, 81, 2225, 32, 4396, 81, 4742, 81, 1070, 81, 1163, 26, 1163, 27, 203, 4396, 665, 2498, 81, 371, 81, 8425, 26, 284, 35741, 44, 9527, 35263, 30, 3298, 81, 314, 44, 596, 203, 27, 967, 1682, 77, 7167, 77, 466, 30, 596, 33504, 284, 442, 2014, 10738, 81, 2225, 32, 4396, 81, 371, 81, 8425, 26, 31667, 30, 3298, 81, 314, 30, 4085, 10383, 27, 203, 4396, 665, 2498, 81, 371, 81, 4742, 81, 25241, 26, 31667, 44, 9527, 35263, 30, 1359, 44, 5436, 27, 967, 5436, 44, 284, 442, 2014, 10738, 81, 2225, 32, 4396, 81, 371, 81, 4742, 81, 25241, 26, 31667, 30, 1359, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 3, 3, 3, 2, 2, 6, 6, 5, 6, 6, 6, 4, 5, 4, 4, 4, 9, 8, 9, 8, 9, 9, 9, 8, 6, 7, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 2, 2, 4, 4, 3, 3, 2, 2, 1, 1, 3, 3, 1, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 8, 8, 8, 9, 8, 2, 2, 3, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 2, 2, 4, 4, 3, 3, 2, 2, 1, 1, 4, 7, 7, 9, 7, 7, 7, 1, 1, 3, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 6, 6, 7, 7, 6, 6, 7, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 3, 5, 2, 2, 3, 3, 2, 1, 1, 1, 1, 1, 3, 4, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 3, 3, 2, 2, 9, 9, 0, 0, 9, 9, 9, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 6, 6, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 10, 10, 10, 2, 2, 2, 2, 3, 3, 3, 1, 1, 0, 3, 3, 0, 0, 3, 3, 3, 3, 10, 10, 1, 0, 1, 0, 1, 1, 1, 10, 10, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 0, 11, 11, 11, 2, 2, 2, 2, 2, 2, 3, 0, 1, 1, 0, 3, 3, 3, 3, 3, 11, 11, 11, 11, 11, 0, 1, 0, 0, 0, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 27349, 278, 9296, 25, 203, 505, 1935, 505, 280, 313, 1464, 50, 3513, 21745, 693, 449, 32, 1088, 20, 203, 505, 11794, 505, 280, 313, 36, 34, 35, 39, 358, 352, 278, 9296, 20, 203, 505, 2077, 505, 280, 313, 6675, 1177, 20, 203, 2930, 81, 9572, 280, 330, 59, 2800, 6945, 102, 7648, 25, 203, 589, 15534, 33313, 81, 3718, 2262, 284, 1505, 81, 10411, 942, 346, 203, 589, 1505, 81, 10411, 942, 2262, 284, 32740, 280, 5081, 81, 1131, 440, 1622, 322, 6346, 32740, 1412, 844, 6927, 322, 1202, 44917, 284, 415, 32740, 610, 313, 75, 563, 291, 1505, 81, 27404, 346, 284, 4348, 32740, 610, 313, 64, 563, 291, 1505, 81, 15964, 346, 284, 813, 44, 291, 1459, 308, 2930, 81, 9572, 27, 291, 1505, 81, 10411, 942, 346, 203, 589, 1505, 81, 27404, 2262, 284, 6674, 290, 981, 280, 5081, 81, 1131, 440, 3671, 322, 29954, 10719, 101, 6674, 290, 981, 44917, 284, 415, 6674, 290, 981, 610, 313, 75, 563, 291, 1459, 2884, 10780, 10719, 101, 461, 1596, 8049, 4056, 7144, 284, 4348, 6674, 290, 981, 610, 313, 64, 563, 291, 1459, 2884, 9388, 281, 6975, 461, 1596, 4056, 7144, 284, 813, 44, 291, 1459, 308, 2930, 81, 9572, 27, 291, 1505, 81, 27404, 346, 203, 589, 1505, 81, 15964, 2262, 284, 5021, 280, 5081, 81, 1131, 440, 14895, 322, 6346, 1930, 312, 22463, 15360, 44917, 284, 415, 5021, 610, 313, 75, 563, 291, 1459, 2884, 9388, 322, 29954, 7144, 284, 4348, 5021, 610, 313, 64, 563, 291, 1505, 81, 2446, 1369, 346, 284, 813, 44, 291, 1459, 308, 2930, 81, 9572, 27, 291, 1505, 81, 15964, 346, 203, 589, 1505, 81, 2446, 1369, 2262, 284, 5564, 1369, 280, 5081, 81, 1131, 440, 14895, 322, 6346, 5564, 1369, 973, 1273, 3547, 372, 1477, 44917, 284, 415, 5564, 1369, 610, 313, 75, 563, 291, 1459, 2884, 2140, 20506, 20527, 12215, 7144, 284, 4348, 5564, 1369, 610, 313, 64, 563, 291, 1505, 81, 3483, 346, 284, 813, 44, 291, 1459, 308, 2930, 81, 9572, 27, 291, 1505, 81, 2446, 1369, 346, 203, 589, 1505, 81, 3483, 2262, 284, 6863, 280, 5081, 81, 1131, 440, 14895, 6863, 1477, 461, 1615, 4030, 44917, 284, 415, 6863, 610, 313, 75, 563, 291, 1505, 81, 29222, 346, 284, 4348, 6863, 610, 313, 64, 563, 291, 1459, 2884, 3711, 438, 646, 7867, 8448, 37300, 32, 14106, 37300, 39882, 7144, 284, 813, 44, 291, 1459, 308, 2930, 81, 9572, 27, 291, 1505, 81, 3483, 346, 203, 589, 1505, 81, 29222, 2262, 284, 37300, 280, 5081, 81, 1131, 440, 14895, 1370, 6346, 1159, 37300, 24555, 44917, 284, 415, 37300, 610, 313, 64, 563, 291, 1459, 2884, 2140, 372, 7279, 322, 10408, 479, 438, 14937, 461, 13734, 7144, 284, 4348, 37300, 610, 313, 75, 563, 291, 1459, 2884, 936, 561, 328, 436, 2719, 7144, 284, 813, 44, 291, 1459, 308, 2930, 81, 9572, 27, 291, 1505, 81, 29222, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 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, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 5, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 6, 6, 3, 3, 7, 7, 7, 3, 3, 4, 5, 5, 7, 7, 4, 4, 8, 8, 8, 3, 3, 4, 4, 4, 7, 9, 9, 9, 8, 5, 5, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 5, 4, 4, 6, 6, 3, 3, 6, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 6, 6, 5, 5, 7, 7, 4, 4, 7, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 4, 4, 7, 9, 9, 9, 8, 5, 5, 8, 8, 8, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 6, 6, 3, 3, 6, 9, 9, 9, 9, 3, 3, 4, 5, 5, 7, 7, 4, 4, 8, 8, 8, 8, 3, 3, 4, 4, 4, 7, 9, 9, 9, 8, 5, 5, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 4, 4, 6, 6, 3, 3, 6, 9, 9, 9, 9, 9, 3, 3, 4, 6, 5, 5, 7, 7, 4, 4, 8, 8, 8, 3, 3, 4, 4, 4, 7, 9, 9, 9, 8, 5, 5, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 6, 6, 3, 3, 7, 7, 7, 3, 3, 4, 5, 5, 7, 7, 4, 4, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 4, 4, 7, 9, 9, 9, 8, 5, 5, 8, 8, 8, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 6, 6, 3, 3, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 7, 7, 4, 4, 7, 10, 10, 10, 10, 10, 10, 3, 3, 4, 4, 4, 7, 9, 9, 9, 8, 5, 5, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 5, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 1, 0, 6, 6, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 4, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 7, 7, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 8, 8, 1, 1, 2, 8, 8, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 9, 9, 1, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 10, 10, 1, 1, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 4, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 11, 11, 1, 1, 2, 11, 11, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 35692, 8538, 1188, 28563, 30, 45510, 1176, 30, 27927, 203, 1070, 5034, 32, 8538, 1188, 3720, 203, 823, 3136, 1241, 26, 1241, 711, 275, 1780, 280, 28563, 463, 3173, 370, 428, 276, 27927, 32, 5413, 26, 1436, 280, 313, 6300, 42836, 3757, 249, 7716, 30176, 2113, 276, 27927, 32, 2380, 26, 887, 280, 225, 37, 30, 1474, 280, 313, 3757, 249, 7716, 30176, 23694, 5726, 29881, 5173, 37, 31, 35, 34, 34, 2658, 11940, 5090, 2113, 276, 27927, 32, 2380, 26, 1449, 280, 225, 35, 34, 34, 30, 1474, 280, 313, 3757, 249, 7716, 30176, 23694, 5726, 11399, 5173, 37, 31, 35, 34, 34, 2658, 11940, 5090, 2113, 275, 8834, 275, 1795, 280, 28563, 463, 1777, 370, 428, 276, 27927, 32, 5413, 26, 1436, 280, 313, 6300, 42836, 3757, 249, 7716, 15031, 20868, 2113, 275, 8834, 275, 2604, 47, 28563, 463, 2633, 370, 428, 276, 27927, 32, 5413, 26, 1436, 280, 313, 6300, 42836, 3757, 249, 7716, 24553, 2113, 275, 8834, 203, 823, 10609, 2633, 1241, 26, 1241, 711, 275, 636, 280, 28563, 463, 558, 370, 428, 276, 27927, 32, 5413, 26, 1436, 280, 313, 6300, 42836, 24553, 13140, 2113, 276, 27927, 32, 2380, 26, 887, 280, 225, 37, 30, 1474, 280, 313, 24553, 13140, 23694, 5726, 29881, 5173, 37, 31, 35, 34, 34, 2658, 11940, 5090, 2113, 276, 27927, 32, 2380, 26, 1449, 280, 225, 35, 34, 34, 30, 1474, 280, 313, 24553, 13140, 23694, 5726, 11399, 5173, 37, 31, 35, 34, 34, 2658, 11940, 5090, 2113, 275, 8834, 275, 8642, 280, 28563, 463, 16037, 370, 428, 276, 27927, 32, 7556, 1026, 275, 8834, 275, 6215, 280, 28563, 463, 4220, 370, 428, 276, 27927, 32, 7556, 1026, 275, 8834, 275, 2604, 81, 681, 280, 28563, 463, 2633, 81, 681, 370, 428, 276, 27927, 32, 7556, 1026, 275, 8834, 275, 2604, 280, 28563, 463, 2633, 370, 428, 276, 27927, 32, 7556, 1026, 275, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 8, 8, 6, 7, 7, 9, 10, 9, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 10, 10, 10, 10, 9, 10, 10, 11, 10, 11, 11, 9, 9, 11, 11, 11, 11, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 11, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 8, 8, 6, 7, 7, 10, 10, 10, 9, 10, 11, 12, 12, 12, 12, 12, 12, 9, 7, 7, 7, 7, 7, 7, 2, 2, 5, 4, 6, 6, 8, 6, 6, 7, 7, 7, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 2, 5, 4, 6, 6, 6, 6, 8, 8, 8, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 11, 11, 10, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 7, 10, 10, 10, 10, 10, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 6, 2, 2, 5, 5, 6, 6, 8, 8, 8, 6, 7, 7, 9, 10, 9, 7, 7, 2, 2, 5, 5, 6, 6, 6, 8, 8, 7, 10, 10, 10, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 3, 3, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 1, 1, 1, 3, 3, 3, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 3, 3, 0, 3, 3, 3, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 2, 1, 2, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 0, 2, 1, 3, 3, 4, 4, 0, 0, 0, 0, 1, 1, 1, 3, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 500, 32, 12757, 32, 37329, 440, 28350, 5289, 65, 81, 24222, 81, 9856, 392, 313, 1262, 32, 3550, 32, 8604, 657, 203, 1070, 8527, 32, 1262, 32, 46674, 1188, 622, 81, 46674, 81, 3164, 203, 3164, 280, 622, 81, 46674, 81, 3164, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15798, 203, 500, 32, 12757, 710, 5754, 81, 10509, 81, 4683, 81, 3602, 81, 10729, 785, 280, 330, 37, 25, 203, 465, 14785, 619, 5239, 203, 465, 8482, 1823, 619, 23295, 203, 1070, 3312, 32, 2304, 1188, 6028, 7233, 203, 823, 15200, 81, 8625, 81, 1006, 26, 3402, 7233, 711, 284, 477, 17614, 284, 665, 14553, 1339, 26, 6933, 711, 291, 9011, 32, 605, 280, 5436, 346, 291, 816, 280, 5239, 32, 10335, 26, 4213, 32, 1808, 37, 36, 30, 6024, 6020, 2521, 30, 225, 41, 42, 38, 1130, 291, 7806, 280, 23295, 32, 8216, 32, 1612, 4772, 26, 106, 30, 636, 1057, 1131, 81, 1823, 683, 291, 3706, 81, 104, 35, 81, 35, 280, 23295, 32, 8216, 32, 20738, 4772, 26, 8075, 30, 310, 81, 9660, 47, 35, 34, 34, 30, 1712, 47, 4213, 32, 3997, 32, 15159, 30, 636, 1057, 15159, 35, 81, 35, 683, 291, 3706, 81, 104, 35, 81, 36, 280, 23295, 32, 8216, 32, 20738, 4772, 26, 8075, 30, 310, 81, 9660, 47, 35, 34, 34, 30, 1712, 47, 4213, 32, 3997, 32, 15159, 30, 636, 1057, 15159, 36, 81, 35, 683, 291, 3706, 81, 104, 35, 280, 23295, 32, 8216, 32, 17353, 4772, 2009, 1299, 81, 104, 35, 81, 35, 30, 3706, 81, 104, 35, 81, 36, 614, 14314, 81, 3534, 47, 35, 30, 636, 1057, 7232, 81, 1823, 683, 291, 3706, 81, 104, 35, 32, 1216, 81, 2132, 26, 2700, 27, 291, 3706, 81, 104, 35, 32, 1216, 81, 8216, 346, 291, 9011, 32, 605, 1365, 1299, 81, 2402, 35, 1446, 280, 5436, 346, 291, 9011, 32, 605, 1365, 1299, 81, 2402, 35, 9557, 8216, 1446, 280, 3706, 81, 104, 35, 32, 464, 81, 8216, 291, 9011, 32, 605, 1365, 1299, 81, 2402, 35, 9557, 2132, 1446, 280, 3706, 81, 104, 35, 32, 464, 81, 2132, 291, 9011, 32, 605, 1365, 1299, 81, 2402, 35, 9557, 96, 81, 2132, 1446, 280, 3706, 81, 104, 35, 32, 998, 81, 2132, 346, 291, 3706, 81, 104, 36, 81, 35, 280, 23295, 32, 8216, 32, 20738, 4772, 26, 8075, 30, 310, 81, 9660, 47, 35, 34, 34, 30, 1712, 47, 4213, 32, 3997, 32, 15159, 30, 636, 1057, 1299, 81, 34, 683, 291, 3706, 81, 104, 36, 81, 36, 280, 23295, 32, 8216, 32, 20738, 4772, 26, 8075, 30, 310, 81, 9660, 47, 35, 34, 34, 30, 1712, 47, 4213, 32, 3997, 32, 15159, 30, 636, 1057, 1299, 81, 35, 683, 291, 3706, 81, 104, 36, 280, 23295, 32, 8216, 32, 1308, 3767, 4772, 2009, 1299, 81, 104, 36, 81, 35, 30, 3706, 81, 104, 36, 81, 36, 614, 16846, 81, 3359, 47, 4213, 32, 16516, 30, 636, 1057, 16516, 683, 291, 3706, 81, 104, 36, 32, 1216, 81, 2132, 26, 2700, 27, 291, 3706, 81, 104, 36, 32, 1216, 81, 8216, 346, 291, 9011, 32, 605, 1365, 1299, 81, 2402, 36, 1446, 280, 5436, 346, 291, 9011, 32, 605, 1365, 1299, 81, 2402, 36, 9557, 8216, 1446, 280, 3706, 81, 104, 36, 32, 464, 81, 8216, 291, 9011, 32, 605, 1365, 1299, 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, 5, 4, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 0, 1, 1, 2, 2, 0, 1, 1, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 8, 9, 7, 7, 9, 5, 5, 7, 7, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 12, 11, 11, 12, 12, 12, 11, 5, 5, 7, 7, 10, 11, 9, 10, 10, 9, 10, 9, 9, 10, 12, 12, 12, 12, 5, 5, 8, 8, 8, 8, 8, 7, 7, 10, 11, 9, 10, 10, 9, 10, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 10, 13, 12, 13, 11, 12, 9, 9, 10, 12, 12, 12, 12, 12, 5, 5, 8, 8, 8, 8, 8, 7, 7, 10, 11, 9, 10, 10, 9, 10, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 10, 13, 12, 13, 11, 12, 9, 9, 10, 12, 12, 12, 12, 12, 5, 5, 8, 8, 8, 7, 7, 10, 11, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11, 10, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 12, 12, 5, 5, 9, 9, 9, 8, 9, 9, 9, 8, 9, 8, 5, 5, 9, 9, 9, 8, 9, 9, 9, 8, 5, 5, 9, 10, 8, 10, 10, 10, 10, 10, 7, 7, 9, 5, 5, 10, 11, 9, 11, 11, 11, 11, 11, 10, 10, 7, 7, 9, 9, 9, 8, 9, 9, 9, 5, 5, 10, 11, 9, 11, 11, 11, 11, 11, 10, 10, 7, 7, 9, 9, 9, 8, 9, 9, 9, 5, 5, 10, 11, 9, 11, 11, 11, 11, 11, 10, 10, 10, 10, 7, 7, 10, 10, 10, 9, 10, 10, 10, 9, 5, 5, 8, 8, 8, 8, 8, 7, 7, 10, 11, 9, 10, 10, 9, 10, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 10, 13, 12, 13, 11, 12, 9, 9, 10, 12, 12, 12, 12, 5, 5, 8, 8, 8, 8, 8, 7, 7, 10, 11, 9, 10, 10, 9, 10, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 10, 13, 12, 13, 11, 12, 9, 9, 10, 12, 12, 12, 12, 5, 5, 8, 8, 8, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11, 10, 9, 11, 11, 10, 12, 11, 12, 9, 9, 10, 12, 12, 5, 5, 9, 9, 9, 8, 9, 9, 9, 8, 9, 8, 5, 5, 9, 9, 9, 8, 9, 9, 9, 8, 5, 5, 9, 10, 8, 10, 10, 10, 10, 10, 7, 7, 9, 5, 5, 10, 11, 9, 11, 11, 11, 11, 11, 10, 10, 7, 7, 9, 9, 9, 8, 9, 9, 9, 5, 5, 10, 11, 9, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 1, 1, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 2, 2, 3, 3, 3, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 1, 1, 7, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 1, 1, 7, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 0, 3, 2, 1, 1, 5, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 4, 4, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 1, 1, 7, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 1, 1, 7, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 0, 3, 0, 2, 2, 1, 1, 5, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 4, 4, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5237, 203, 1070, 15818, 32, 2891, 4090, 1188, 2744, 4090, 203, 1070, 15818, 32, 2755, 1188, 319, 203, 1070, 15818, 32, 2304, 32, 2027, 1188, 4600, 203, 1070, 15818, 32, 48183, 1212, 1188, 677, 17575, 1212, 203, 1070, 15818, 32, 48183, 4711, 1188, 677, 17575, 4711, 203, 1070, 2688, 789, 1006, 1188, 2688, 789, 1006, 203, 2184, 280, 2149, 203, 2184, 1365, 22290, 1446, 280, 3177, 203, 2184, 1365, 1786, 1446, 280, 1665, 203, 2184, 1365, 1580, 1446, 280, 1665, 203, 2184, 1365, 761, 81, 7177, 717, 1446, 280, 1665, 203, 2184, 1365, 48419, 81, 681, 1446, 280, 1665, 203, 2184, 1365, 1877, 81, 13627, 1446, 280, 1665, 203, 2184, 1365, 18023, 444, 1446, 280, 3177, 203, 2184, 1365, 16186, 1446, 280, 1665, 203, 589, 2470, 2262, 284, 442, 2075, 32, 2991, 346, 203, 823, 2688, 789, 5687, 71, 26, 48183, 1212, 30, 677, 17575, 4711, 30, 2688, 789, 1006, 711, 284, 665, 1156, 1664, 3207, 784, 30, 6410, 280, 2075, 711, 291, 677, 17575, 1212, 3667, 1664, 3207, 784, 27, 291, 677, 17575, 4711, 3667, 1664, 3207, 784, 27, 291, 2688, 789, 1006, 3667, 1664, 3207, 784, 27, 291, 630, 32, 22290, 280, 6410, 1365, 22290, 1446, 291, 630, 32, 1580, 280, 6410, 1365, 1580, 1446, 291, 630, 32, 1786, 280, 6410, 1365, 1786, 1446, 291, 630, 32, 761, 81, 7177, 717, 280, 6410, 1365, 761, 81, 7177, 717, 1446, 291, 630, 32, 48419, 81, 681, 280, 6410, 1365, 48419, 81, 681, 1446, 291, 630, 32, 1877, 81, 13627, 280, 6410, 1365, 1877, 81, 13627, 1446, 291, 630, 32, 18023, 444, 280, 6410, 1365, 18023, 444, 1446, 291, 630, 32, 16186, 280, 6410, 1365, 16186, 1446, 291, 630, 32, 7980, 81, 314, 280, 330, 43, 34, 39, 34, 25, 291, 630, 32, 1586, 81, 1648, 280, 330, 36, 32, 34, 25, 291, 630, 32, 1786, 81, 2416, 81, 2142, 280, 313, 4643, 8131, 31, 5687, 71, 31, 8094, 20, 291, 630, 32, 1580, 81, 2416, 81, 2142, 280, 313, 4643, 8131, 31, 5687, 71, 31, 10923, 20, 291, 630, 32, 1580, 81, 1251, 81, 314, 280, 1665, 291, 630, 32, 1786, 81, 1251, 81, 314, 280, 1665, 284, 665, 1156, 1001, 81, 1553, 26, 784, 711, 291, 415, 630, 32, 1580, 610, 1665, 44, 324, 2642, 1872, 280, 313, 9085, 636, 556, 2965, 432, 322, 2688, 789, 12498, 71, 2043, 1541, 3107, 324, 630, 32, 4073, 32, 731, 9670, 5007, 79, 2688, 789, 5687, 71, 44, 904, 101, 20, 904, 308, 405, 1872, 490, 324, 5237, 32, 4775, 26, 35, 27, 291, 415, 630, 32, 1786, 610, 1665, 44, 324, 2642, 1872, 280, 313, 9085, 636, 556, 2965, 432, 322, 2688, 789, 12498, 71, 2145, 1541, 3107, 324, 630, 32, 4073, 32, 731, 9670, 5007, 79, 2688, 789, 5687, 71, 44, 904, 101, 20, 904, 308, 405, 1872, 490, 324, 5237, 32, 4775, 26, 35, 27, 291, 415, 630, 32, 371, 27997, 606, 346, 610, 1665, 44, 324, 2642, 1872, 280, 313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 0, 4, 3, 5, 5, 2, 2, 0, 4, 3, 5, 5, 2, 2, 0, 4, 3, 5, 5, 2, 2, 0, 4, 3, 5, 5, 5, 5, 5, 2, 2, 0, 4, 3, 5, 5, 5, 5, 2, 2, 0, 4, 3, 5, 5, 5, 5, 2, 2, 0, 4, 3, 5, 5, 5, 2, 2, 0, 4, 3, 5, 5, 2, 2, 0, 1, 1, 2, 1, 1, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 7, 9, 9, 9, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 11, 6, 6, 9, 10, 9, 10, 9, 4, 4, 5, 7, 8, 6, 6, 5, 5, 5, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 11, 6, 6, 9, 10, 9, 10, 9, 4, 4, 5, 8, 9, 9, 9, 8, 6, 6, 5, 5, 5, 9, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 1, 2, 2, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 2, 6, 6, 0, 0, 0, 7, 7, 1, 2, 2, 7, 7, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 18, 18, 2, 18, 18, 0, 0, 2, 1, 0, 19, 19, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 19, 19, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0 ]
[ 433, 1070, 7138, 1188, 30784, 203, 1070, 7138, 1188, 7138, 203, 1070, 13625, 1188, 41829, 203, 465, 5741, 203, 465, 18346, 2516, 203, 465, 2322, 203, 465, 316, 203, 465, 787, 1909, 203, 465, 16539, 203, 465, 4096, 203, 1070, 4096, 32, 14639, 32, 7365, 1188, 28124, 6904, 203, 1070, 4096, 32, 14639, 32, 1439, 1188, 28124, 1761, 203, 1070, 4096, 32, 14639, 32, 893, 1188, 28124, 1658, 203, 1070, 4096, 32, 14639, 32, 878, 1188, 28124, 1031, 203, 465, 24495, 203, 465, 13380, 34224, 203, 465, 17281, 203, 589, 6122, 81, 2501, 928, 26, 101, 30, 8446, 47, 2700, 30, 45301, 47, 1815, 711, 284, 313, 264, 588, 264, 309, 280, 309, 32, 3227, 40348, 370, 330, 11468, 683, 284, 309, 280, 309, 32, 3227, 463, 33713, 17276, 6945, 683, 284, 309, 280, 309, 32, 3227, 463, 1492, 370, 17276, 1492, 683, 284, 18299, 280, 787, 1909, 32, 615, 1909, 26, 101, 30, 45301, 47, 28950, 27, 284, 18299, 32, 29903, 81, 2998, 280, 2933, 284, 18299, 32, 29903, 280, 40551, 284, 415, 646, 8446, 44, 291, 18299, 32, 3647, 483, 280, 4247, 284, 442, 1149, 26, 1909, 27, 203, 589, 6122, 81, 2501, 800, 26, 3515, 800, 711, 284, 313, 264, 1201, 6937, 26, 3515, 800, 30, 596, 27, 284, 442, 787, 1909, 32, 2998, 26, 3515, 800, 27, 203, 589, 802, 81, 27974, 26, 800, 30, 4878, 81, 1644, 47, 42, 711, 284, 540, 2993, 284, 14881, 1069, 30, 461, 30598, 2979, 31, 1216, 444, 7125, 284, 499, 753, 4878, 81, 1644, 44, 1451, 432, 13922, 372, 7084, 17002, 623, 32, 4841, 645, 2855, 529, 19981, 32, 3007, 1644, 82, 5748, 415, 529, 2521, 82, 284, 499, 681, 4878, 81, 1644, 44, 629, 556, 529, 2521, 82, 284, 8217, 802, 81, 27974, 463, 9214, 78, 100, 1632, 5769, 225, 42, 27, 284, 330, 9214, 1632, 330, 284, 8217, 802, 81, 27974, 463, 3986, 78, 102, 1632, 370, 225, 42, 27, 284, 330, 3986, 262, 5697, 25, 284, 8217, 802, 81, 27974, 463, 3986, 78, 102, 78, 102, 1632, 370, 225, 42, 27, 284, 330, 3986, 2407, 5697, 25, 284, 1524, 284, 802, 280, 802, 32, 3227, 9442, 100, 370, 9142, 284, 5430, 280, 1149, 346, 284, 436, 1628, 328, 802, 32, 2998, 9442, 96, 7831, 291, 4878, 81, 998, 280, 1628, 32, 998, 9442, 102, 683, 291, 415, 4878, 81, 998, 848, 225, 34, 44, 324, 1628, 81, 1322, 280, 225, 34, 324, 537, 81, 928, 280, 1149, 346, 324, 436, 595, 30, 7311, 328, 10703, 26, 928, 32, 2998, 9442, 102, 41095, 400, 1628, 81, 1322, 1454, 2069, 26, 7190, 27, 400, 537, 81, 928, 32, 1689, 26, 7190, 27, 400, 415, 595, 333, 4878, 81, 998, 44, 528, 2354, 81, 3007, 81, 4048, 81, 266, 280, 4878, 81, 1644, 429, 308, 928, 81, 1322, 904, 4878, 81, 1644, 27, 528, 537, 81, 928, 32, 1689, 463, 330, 319, 2354, 81, 3007, 81, 4048, 81, 266, 27, 528, 1628, 81, 1322, 1454, 2354, 81, 3007, 81, 4048, 81, 266, 324, 5430, 32, 1689, 463, 2473, 2524, 26, 890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 4, 1, 2, 2, 1, 2, 2, 1, 2, 2, 4, 1, 2, 2, 1, 2, 2, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 1, 2, 2, 1, 2, 2, 4, 1, 2, 2, 1, 2, 2, 3, 3, 3, 3, 4, 3, 3, 4, 5, 3, 3, 4, 5, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 2, 2, 5, 5, 7, 8, 7, 10, 7, 10, 9, 3, 3, 5, 5, 7, 8, 7, 10, 9, 7, 10, 9, 3, 3, 5, 5, 8, 7, 8, 8, 7, 8, 7, 7, 8, 9, 7, 3, 3, 6, 7, 7, 7, 5, 5, 3, 3, 6, 7, 5, 5, 3, 3, 4, 5, 4, 4, 4, 8, 9, 9, 7, 7, 3, 3, 4, 6, 7, 6, 1, 2, 2, 3, 3, 3, 3, 4, 4, 3, 2, 2, 2, 2, 4, 6, 7, 7, 6, 6, 6, 3, 3, 4, 7, 6, 7, 6, 7, 7, 6, 1, 2, 2, 3, 3, 3, 4, 3, 3, 5, 5, 4, 5, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 7, 8, 7, 10, 9, 7, 3, 3, 5, 5, 7, 3, 3, 4, 4, 4, 6, 7, 6, 9, 8, 4, 4, 8, 8, 7, 7, 9, 10, 9, 12, 11, 5, 5, 6, 8, 8, 7, 7, 8, 6, 6, 6, 10, 10, 9, 9, 10, 7, 7, 10, 10, 9, 9, 11, 7, 7, 8, 9, 9, 8, 8, 10, 13, 12, 13, 12, 15, 14, 8, 8, 12, 12, 11, 11, 13, 14, 13, 9, 9, 13, 13, 12, 13, 12, 13, 12, 9, 9, 10, 11, 11, 12, 12, 10, 10, 10, 14, 14, 14, 14, 14, 14, 13, 13, 15, 15, 14, 14, 17, 17, 17, 16, 16, 17, 17, 15, 11, 11, 15, 15, 14, 15, 14, 17, 15, 15, 16, 16, 16, 16, 16, 16, 14, 11, 11, 14, 14, 13, 13, 14, 14, 14, 14, 14, 14, 7, 7, 10, 11, 10, 14, 13, 12, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 0, 1, 4, 4, 1, 5, 5, 1, 6, 6, 0, 1, 7, 7, 1, 8, 8, 1, 9, 9, 1, 2, 1, 4, 9, 9, 0, 1, 10, 10, 1, 2, 1, 4, 10, 10, 0, 1, 11, 11, 1, 2, 1, 4, 11, 11, 0, 1, 12, 12, 1, 2, 1, 4, 12, 12, 0, 1, 13, 13, 1, 14, 14, 0, 1, 15, 15, 1, 16, 16, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 16, 16, 0, 0, 0, 2, 1, 0, 1, 1, 2, 5, 5, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 5, 5, 0, 2, 2, 2, 0, 0, 5, 5, 0, 2, 0, 0, 5, 5, 5, 1, 5, 5, 5, 0, 2, 2, 0, 0, 5, 5, 6, 1, 1, 1, 1, 17, 17, 1, 1, 1, 2, 1, 1, 2, 17, 17, 17, 17, 0, 1, 1, 1, 1, 1, 1, 5, 5, 1, 0, 0, 2, 1, 1, 1, 1, 1, 18, 18, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 18, 18, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 2, 1, 4, 4, 0, 0, 1, 4, 4, 3, 3, 3, 0, 2, 1, 0, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 2, 5, 5, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 1, 3, 3, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 5, 5, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 2, 1, 1 ]
[ 465, 5237, 203, 465, 316, 203, 1070, 2322, 1188, 1149, 1515, 30, 1628, 12595, 203, 1070, 2322, 32, 983, 1188, 438, 761, 30, 7140, 30, 6122, 407, 203, 589, 4233, 1811, 26, 928, 711, 203, 202, 601, 1628, 32, 7201, 922, 3227, 26, 100, 10255, 24, 370, 31248, 3227, 26, 100, 10255, 88, 52, 370, 31248, 3227, 26, 100, 10255, 88, 53, 370, 31248, 3227, 26, 100, 10255, 88, 66, 370, 31248, 3227, 26, 100, 10255, 41085, 6470, 1814, 3227, 26, 100, 44916, 370, 4145, 2174, 10139, 14826, 377, 2174, 10139, 22639, 203, 589, 4483, 26, 266, 81, 3607, 30, 963, 81, 3607, 711, 203, 202, 88, 280, 2156, 26, 541, 81, 3607, 30, 330, 105, 683, 203, 202, 979, 1628, 328, 2156, 26, 266, 81, 3607, 711, 357, 202, 95, 280, 316, 32, 2872, 26, 100, 28249, 8169, 30991, 370, 1628, 27, 357, 202, 325, 345, 438, 646, 1665, 44, 355, 202, 7505, 357, 202, 325, 1628, 32, 7201, 346, 610, 5608, 2328, 25, 556, 1628, 32, 7201, 346, 610, 5608, 5475, 25, 556, 1628, 32, 7201, 346, 610, 5608, 10254, 950, 355, 202, 7505, 357, 202, 95, 280, 316, 32, 2872, 26, 100, 28249, 8169, 1781, 78, 101, 44292, 1628, 27, 357, 202, 325, 345, 438, 646, 1665, 44, 355, 202, 7505, 357, 202, 95, 280, 316, 32, 2872, 26, 100, 28249, 8169, 2514, 78, 101, 29, 440, 49, 2502, 3424, 2502, 78, 35, 5421, 101, 29481, 370, 1628, 27, 357, 202, 325, 345, 438, 646, 1665, 44, 355, 202, 88, 32, 1821, 26, 928, 12595, 27, 355, 202, 88, 32, 1821, 440, 379, 313, 474, 4233, 1811, 26, 95, 32, 1363, 26, 36, 490, 474, 313, 280, 33568, 355, 202, 88, 32, 1821, 26, 928, 12595, 27, 355, 202, 7505, 357, 202, 95, 280, 316, 32, 2872, 26, 100, 28249, 8169, 68, 49, 52, 78, 101, 14541, 3424, 5421, 101, 29481, 370, 1628, 27, 357, 202, 325, 345, 438, 646, 1665, 44, 355, 202, 88, 32, 1821, 440, 326, 20, 474, 4233, 1811, 26, 95, 32, 1363, 26, 35, 490, 474, 32988, 657, 355, 202, 88, 32, 1821, 26, 928, 12595, 27, 355, 202, 7505, 357, 202, 95, 280, 316, 32, 2872, 26, 100, 28249, 8169, 59, 78, 101, 14541, 3424, 5421, 101, 29481, 370, 1628, 27, 357, 202, 325, 345, 438, 646, 1665, 44, 355, 202, 88, 32, 1821, 34203, 20, 474, 4233, 1811, 26, 95, 32, 1363, 26, 35, 490, 474, 27676, 657, 355, 202, 88, 32, 1821, 26, 928, 12595, 27, 355, 202, 7505, 357, 202, 325, 1628, 32, 7201, 346, 610, 4939, 839, 563, 355, 202, 88, 32, 1821, 26, 928, 12595, 27, 355, 202, 7505, 357, 202, 95, 280, 316, 32, 2872, 26, 100, 28249, 8169, 266, 78, 101, 370, 1628, 27, 357, 202, 325, 345, 438, 646, 1665, 44, 355, 202, 7505, 357, 202, 95, 280, 316, 32, 2872, 26, 100, 28249, 8169, 5690, 78, 101, 370, 1628, 27, 357, 202, 325, 345, 438, 646, 1665, 44, 355, 202, 7505, 357, 202, 95, 280, 316, 32, 2872, 26, 100, 28249, 8169, 339, 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, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 17, 18, 17, 16, 15, 17, 17, 17, 17, 15, 14, 13, 15, 15, 15, 15, 15, 13, 12, 11, 13, 13, 13, 13, 13, 11, 10, 9, 11, 11, 11, 11, 11, 9, 8, 7, 9, 9, 9, 7, 9, 6, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 6, 6, 8, 8, 2, 2, 3, 3, 3, 3, 5, 6, 6, 6, 5, 3, 3, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 8, 8, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 7, 4, 4, 5, 5, 10, 11, 10, 8, 8, 10, 10, 7, 7, 10, 11, 10, 8, 8, 10, 10, 6, 6, 9, 10, 9, 7, 7, 9, 9, 5, 5, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 10, 9, 10, 9, 10, 10, 9, 6, 6, 10, 9, 10, 9, 13, 13, 11, 11, 13, 13, 16, 15, 16, 15, 16, 15, 10, 10, 12, 12, 6, 6, 10, 9, 10, 9, 10, 10, 9, 6, 6, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 10, 9, 10, 9, 13, 13, 11, 11, 13, 13, 16, 15, 16, 15, 16, 15, 10, 10, 12, 6, 6, 10, 9, 10, 9, 10, 10, 9, 6, 6, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 10, 9, 10, 9, 13, 11, 11, 13, 13, 16, 15, 16, 15, 16, 15, 10, 10, 12, 6, 6, 10, 9, 10, 9, 10, 10, 9, 6, 6, 7, 4, 4, 5, 5, 8, 9, 8, 6, 6, 8, 8, 5, 5, 10, 9, 10, 9, 10, 10, 9, 6, 6, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 5, 5, 6, 6, 6, 5, 5, 5, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 2, 1, 1, 1, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 4, 4, 1, 1, 1, 4, 4, 4, 0, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 6, 6, 1, 1, 1, 6, 6, 6, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 8, 8, 1, 1, 1, 8, 8, 8, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 3, 3, 2, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 10, 10, 1, 1, 1, 10, 10, 10, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 3, 3, 2, 5, 5, 11, 11, 0, 2, 1, 1, 1, 1, 2, 11, 11, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 5, 5, 13, 13, 1, 1, 1, 13, 13, 13, 0, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 5, 5, 15, 15, 1, 1, 1, 15, 15, 15, 0, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1 ]
[ 465, 7138, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 1070, 1288, 91, 45817, 32, 2304, 32, 24464, 81, 2304, 1188, 5941, 81, 12524, 81, 1003, 203, 589, 438, 81, 11939, 81, 45195, 26, 83, 711, 284, 442, 308, 2356, 32, 88, 1449, 32, 24577, 6197, 26, 83, 27, 2511, 312, 547, 464, 346, 203, 589, 6042, 81, 1567, 81, 4519, 26, 1567, 81, 4419, 30, 1014, 1692, 81, 26077, 30, 1014, 1692, 81, 101, 3631, 711, 284, 1201, 438, 81, 11939, 81, 45195, 26, 1567, 81, 4419, 471, 313, 1567, 18719, 2298, 526, 8594, 20, 284, 1201, 2069, 26, 1567, 81, 101, 3631, 27, 610, 2069, 26, 1567, 81, 4419, 27, 610, 2069, 26, 1567, 81, 26077, 471, 766, 291, 313, 1431, 16317, 12051, 44, 904, 86, 863, 904, 86, 863, 904, 86, 20, 904, 308, 324, 2069, 26, 1567, 81, 101, 3631, 471, 324, 2069, 26, 1567, 81, 4419, 471, 324, 2069, 26, 1567, 81, 26077, 471, 291, 829, 203, 589, 2354, 81, 1567, 81, 42913, 26, 464, 81, 4419, 30, 5556, 1169, 81, 101, 3631, 30, 5556, 1692, 81, 4419, 30, 5556, 1692, 81, 26077, 30, 5556, 1692, 81, 101, 3631, 711, 284, 6042, 81, 1567, 81, 4519, 26, 1567, 81, 4419, 30, 1692, 81, 26077, 30, 1692, 81, 101, 3631, 27, 284, 963, 280, 2065, 32, 2620, 1162, 1657, 26, 464, 81, 4419, 471, 2069, 26, 464, 81, 101, 3631, 3662, 429, 35, 30, 9710, 47, 2356, 32, 410, 40, 38, 27, 284, 26093, 81, 782, 101, 280, 1169, 81, 101, 3631, 32, 1903, 11939, 26, 1567, 81, 101, 3631, 27, 284, 8793, 81, 782, 101, 280, 1169, 81, 4419, 32, 1903, 11939, 26, 1567, 81, 4419, 30, 5209, 1057, 990, 683, 284, 8349, 81, 782, 101, 280, 1169, 81, 4419, 32, 1903, 11939, 26, 1567, 81, 26077, 27, 284, 436, 595, 328, 2155, 26, 1657, 26, 1567, 81, 101, 3631, 27, 429, 225, 35, 30, 429, 35, 30, 429, 35, 711, 291, 1477, 81, 782, 280, 8349, 81, 782, 101, 77, 91, 79, 291, 943, 81, 782, 280, 8793, 81, 782, 101, 77, 91, 79, 291, 963, 77, 1366, 81, 782, 44, 416, 81, 782, 30, 26093, 81, 782, 101, 77, 91, 3212, 280, 595, 284, 442, 963, 203, 589, 4552, 81, 1567, 81, 42913, 26, 464, 81, 4419, 30, 6029, 1169, 81, 101, 3631, 30, 6029, 1692, 81, 4419, 30, 6029, 1692, 81, 26077, 30, 6029, 1692, 81, 101, 3631, 711, 284, 6042, 81, 1567, 81, 4519, 26, 1567, 81, 4419, 30, 1692, 81, 26077, 30, 1692, 81, 101, 3631, 27, 284, 963, 280, 2065, 32, 2620, 1162, 1657, 26, 464, 81, 4419, 471, 2069, 26, 464, 81, 101, 3631, 3662, 429, 35, 30, 9710, 47, 2356, 32, 410, 40, 38, 27, 284, 14064, 81, 40437, 280, 2065, 32, 16537, 26, 1567, 81, 4419, 30, 1692, 81, 26077, 27, 284, 26093, 81, 782, 101, 280, 1169, 81, 101, 3631, 32, 1903, 11939, 26, 1567, 81, 101, 3631, 27, 284, 8793, 81, 782, 101, 280, 1169, 81, 4419, 32, 1903, 11939, 26, 8643, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 11, 10, 11, 11, 9, 10, 10, 9, 10, 9, 7, 7, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 6, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 2, 2, 3, 6, 7, 7, 7, 7, 6, 4, 4, 6, 7, 7, 7, 6, 4, 4, 6, 7, 7, 7, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 7, 8, 8, 8, 8, 7, 5, 5, 7, 8, 8, 8, 7, 5, 5, 7, 8, 8, 8, 7, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 6, 5, 2, 2, 4, 4, 6, 7, 6, 9, 9, 10, 10, 10, 9, 7, 9, 10, 10, 10, 10, 9, 6, 8, 6, 6, 7, 9, 8, 9, 9, 9, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 6, 7, 7, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 6, 7, 7, 7, 6, 6, 7, 9, 9, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 6, 7, 7, 7, 6, 2, 2, 3, 3, 3, 5, 8, 8, 9, 9, 9, 9, 8, 6, 6, 7, 5, 5, 7, 5, 5, 7, 5, 3, 3, 7, 7, 6, 6, 8, 8, 8, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 7, 8, 7, 4, 4, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 8, 9, 8, 6, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 6, 5, 2, 2, 4, 4, 6, 7, 6, 9, 9, 10, 10, 10, 9, 7, 9, 10, 10, 10, 10, 9, 6, 8, 6, 6, 7, 9, 8, 9, 9, 9, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 6, 7, 7, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 6, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 5, 5, 5, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 5, 5, 2, 2, 2, 7, 7, 2, 2, 2, 9, 9, 9, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 5, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 5, 5, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 4, 2, 4, 0, 0, 4, 4, 6, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 5, 5, 2, 2, 2, 7, 7, 2, 2, 2, 9, 9, 9, 2, 7, 7, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 5, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1 ]
[ 1070, 4134, 1188, 5601, 18241, 203, 1070, 3619, 742, 2539, 32, 1356, 32, 21271, 2516, 1188, 902, 15023, 20398, 7697, 620, 203, 1070, 3619, 742, 2539, 32, 1356, 32, 21271, 2516, 1188, 902, 15023, 47012, 203, 1070, 3619, 742, 2539, 32, 1356, 32, 21271, 2516, 1188, 21418, 39309, 203, 1070, 3619, 742, 2539, 32, 1356, 32, 21271, 2516, 1188, 1410, 927, 3924, 1052, 203, 1070, 3619, 742, 2539, 32, 1356, 32, 21271, 2516, 1188, 1410, 5289, 39309, 203, 1070, 3619, 742, 2539, 32, 1356, 32, 21271, 2516, 1188, 1410, 5289, 24781, 1339, 203, 1070, 3619, 742, 2539, 32, 1356, 32, 21271, 2516, 1188, 9494, 620, 203, 1070, 3619, 742, 2539, 32, 1356, 32, 1439, 1188, 4354, 2539, 1761, 203, 1070, 13625, 1188, 33953, 203, 1070, 10245, 1188, 23501, 203, 1070, 3493, 955, 1188, 3493, 955, 203, 465, 18792, 203, 325, 18792, 32, 5177, 37, 44, 284, 1188, 49093, 619, 1156, 14842, 505, 284, 1946, 280, 629, 203, 12106, 18792, 32, 5177, 36, 44, 284, 1188, 1156, 14842, 505, 203, 823, 1359, 26, 4997, 2539, 1761, 711, 284, 1156, 18645, 505, 280, 2884, 81, 983, 81, 4313, 392, 7286, 407, 9147, 392, 9602, 6565, 657, 284, 617, 21271, 81, 426, 280, 313, 1163, 20, 284, 617, 978, 2539, 81, 6398, 81, 1170, 280, 313, 2630, 20, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 1114, 983, 81, 4313, 280, 3177, 291, 630, 1114, 407, 9147, 280, 3177, 291, 630, 3667, 6565, 280, 1410, 5289, 24781, 1339, 26, 324, 1695, 47, 75, 927, 3924, 1052, 30, 324, 1244, 47, 75, 927, 3924, 1052, 440, 1870, 2113, 324, 438, 81, 12729, 47, 1815, 30, 324, 14196, 81, 426, 347, 6565, 392, 324, 2935, 47, 784, 30, 324, 1519, 81, 4313, 47, 784, 1114, 983, 81, 4313, 30, 324, 1447, 9147, 47, 784, 1114, 407, 9147, 30, 324, 3909, 81, 8478, 47, 1815, 30, 324, 3583, 347, 525, 555, 1676, 1163, 32, 1299, 33, 21271, 33, 4573, 31, 2386, 392, 324, 20720, 81, 1647, 347, 1676, 1163, 31, 4573, 31, 2386, 392, 324, 14196, 81, 681, 347, 4398, 392, 324, 438, 81, 1163, 47, 1815, 30, 291, 829, 291, 2454, 280, 10306, 32, 3235, 440, 944, 392, 1665, 27, 291, 415, 2181, 44, 324, 415, 2069, 26, 1132, 27, 848, 225, 35, 44, 400, 3636, 12678, 440, 18506, 1487, 312, 1410, 5289, 3851, 623, 848, 35, 2793, 657, 324, 1169, 81, 2437, 280, 2933, 324, 436, 484, 328, 630, 1114, 978, 742, 2539, 81, 7594, 44, 400, 415, 646, 19326, 26, 1132, 77, 34, 614, 484, 711, 528, 1169, 81, 2437, 280, 3177, 528, 1626, 324, 415, 646, 1169, 81, 2437, 44, 400, 3636, 10091, 440, 33777, 3032, 1300, 4142, 646, 1159, 322, 3809, 5414, 657, 324, 436, 484, 328, 630, 1114, 978, 742, 2539, 81, 7594, 44, 400, 310, 2067, 280, 18623, 26, 1132, 77, 34, 614, 484, 27, 400, 415, 310, 2067, 1114, 8968, 346, 438, 3177, 44, 528, 4036, 400, 739, 1959, 280, 18623, 26, 784, 30, 7286, 470, 16335, 101, 20, 904, 484, 27, 400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 1, 3, 4, 4, 5, 5, 2, 2, 4, 4, 1, 2, 2, 3, 4, 4, 2, 2, 2, 4, 6, 6, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 2, 2, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 8, 8, 8, 9, 11, 11, 11, 11, 11, 13, 13, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 11, 11, 8, 8, 9, 10, 8, 8, 8, 10, 10, 9, 11, 10, 11, 11, 11, 8, 8, 8, 10, 9, 11, 10, 11, 11, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 11, 11, 8, 8, 10, 10, 9, 10, 8, 8, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 5, 5, 5, 5, 7, 10, 11, 10, 8, 8, 9, 7, 7, 7, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 9, 9, 8, 8, 6, 6, 7, 7, 7, 8, 9, 9, 9, 9, 9, 7, 7, 7, 9, 10, 12, 14, 13, 14, 13, 12, 12, 9, 9, 13, 13, 12, 12, 10, 10, 6, 6, 7, 8, 9, 9, 7, 7, 7, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 7, 7, 8, 9, 9, 9, 9, 9, 7, 7, 7, 11, 10, 10, 12, 14, 13, 14, 13, 12, 12, 8, 8, 9, 13, 12, 13, 12, 10, 10, 9, 9, 9, 8, 8, 11, 10, 10, 12, 13, 12, 12, 15, 15, 15, 15, 13, 13, 12, 8 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 4, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 4, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 4, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 4, 6, 6, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 1, 4, 4, 7, 7, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 9, 9, 0, 10, 10, 10, 10, 0, 11, 11, 0, 11, 11, 0, 0, 12, 12, 0, 13, 13, 1, 2, 2, 13, 13, 13, 0, 1, 1, 2, 2, 3, 3, 0, 0, 13, 4, 4, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 14, 14, 2, 1, 1, 1, 2, 14, 14, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 3, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 3, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 5, 2, 1, 1, 1, 0, 0, 7, 1, 2, 1, 1, 9, 2, 1, 1, 1, 0, 0, 11, 0, 2, 2, 2, 2, 1, 1, 1, 0, 13, 0, 2, 2, 2, 1, 1, 1, 0, 0, 15, 2, 1, 1, 1, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 19, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 21, 1, 2, 1, 1, 0, 0, 23, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 4, 3, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 5, 5, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 5 ]
[ 465, 31074, 203, 465, 33951, 203, 465, 5741, 203, 1070, 1875, 819, 1237, 1188, 298, 203, 1070, 1875, 819, 1237, 32, 1356, 32, 2393, 1188, 4227, 81, 270, 1552, 203, 823, 498, 36999, 7332, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1123, 711, 291, 4227, 81, 4687, 280, 1123, 32, 1163, 32, 371, 463, 613, 6169, 57, 2554, 81, 28727, 69, 370, 12797, 291, 630, 32, 1363, 81, 11893, 280, 4227, 81, 4687, 32, 371, 463, 1363, 31, 11893, 370, 12797, 291, 436, 18161, 328, 739, 26, 1731, 4280, 32, 5074, 2740, 784, 32, 1363, 81, 11893, 32, 2810, 5156, 44, 324, 1596, 44, 400, 298, 77, 13163, 79, 324, 2940, 25085, 44, 400, 3636, 26405, 26, 528, 313, 5790, 6501, 328, 4070, 44, 904, 100, 20, 904, 308, 13163, 33702, 291, 630, 32, 3423, 280, 4227, 81, 4687, 710, 3423, 785, 291, 630, 32, 3615, 81, 6161, 280, 4227, 81, 4687, 710, 3615, 81, 6161, 785, 291, 630, 32, 3615, 81, 2895, 280, 4227, 81, 4687, 710, 3615, 81, 2895, 785, 291, 630, 32, 496, 81, 1439, 280, 4227, 81, 4687, 710, 496, 81, 1439, 785, 291, 630, 32, 1363, 81, 1439, 280, 4227, 81, 4687, 710, 1363, 81, 1439, 785, 291, 630, 32, 2811, 280, 4227, 81, 4687, 32, 371, 463, 2811, 683, 291, 630, 32, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 291, 4227, 81, 270, 1552, 32, 3517, 81, 15796, 26, 725, 2502, 784, 32, 267, 81, 11893, 81, 270, 1552, 27, 284, 665, 622, 81, 496, 81, 6332, 26, 784, 30, 10869, 711, 291, 415, 630, 32, 2811, 44, 324, 630, 32, 4073, 32, 2811, 463, 63, 4856, 26397, 2467, 436, 904, 101, 370, 10869, 27, 291, 1596, 44, 324, 456, 280, 33951, 32, 8788, 26, 784, 32, 3423, 27, 324, 456, 32, 6656, 81, 2539, 81, 101, 26, 784, 32, 3615, 81, 6161, 30, 630, 32, 3615, 81, 2895, 27, 324, 7024, 280, 456, 32, 1903, 81, 101, 26, 784, 32, 496, 81, 1439, 30, 33951, 32, 15104, 81, 7100, 27803, 30, 1378, 330, 17474, 1473, 1339, 47, 13246, 6510, 6005, 2502, 2200, 6132, 101, 490, 25, 904, 308, 2200, 28020, 11544, 324, 415, 646, 7024, 556, 2069, 26, 16607, 27, 863, 225, 35, 44, 400, 442, 1605, 324, 1256, 81, 6161, 280, 7024, 77, 34, 1674, 34, 79, 324, 1056, 280, 456, 32, 1903, 81, 101, 26, 784, 32, 1363, 81, 1439, 30, 33951, 32, 15104, 81, 7100, 27803, 30, 1378, 330, 17474, 1473, 1339, 47, 1363, 1419, 4109, 2502, 3656, 6132, 101, 490, 25, 904, 1256, 81, 6161, 30, 2107, 4977, 3490, 324, 8351, 280, 1605, 324, 436, 485, 668, 328, 428, 89, 77, 35, 5795, 4977, 785, 436, 485, 328, 1056, 2786, 400, 8351, 32, 8233, 26, 89, 668, 27, 324, 442, 1149, 26, 470, 26, 6332, 490, 291, 2940, 33951, 32, 30577, 924, 44, 324, 630, 32, 4073, 32, 3893, 440, 16225, 22422, 372, 322, 26397, 2145, 657, 324, 442, 1605, 284, 665, 544, 81, 11893, 81, 270, 1552, 26, 784, 30, 7045, 30, 1256, 30, 4227, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 8, 4, 4, 5, 5, 5, 7, 10, 10, 9, 10, 9, 14, 13, 14, 14, 14, 12, 13, 12, 5, 5, 5, 7, 7, 7, 10, 11, 10, 7, 7, 8, 8, 8, 8, 10, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 14, 4, 4, 7, 8, 6, 6, 8, 8, 7, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 7, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 8, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 9, 4, 4, 9, 9, 9, 8, 9, 9, 9, 8, 9, 8, 9, 8, 9, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 4, 4, 5, 5, 5, 8, 8, 10, 11, 10, 12, 11, 12, 10, 6, 6, 9, 10, 10, 10, 10, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 6, 6, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 12, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 12, 10, 6, 6, 7, 9, 8, 8, 11, 12, 11, 9, 9, 10, 7, 7, 7, 9, 6, 6, 9, 9, 8, 8, 10, 11, 10, 10, 9, 6, 6, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 12, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 12, 10, 10, 13, 13, 6, 6, 8, 8, 6, 6, 7, 8, 7, 7, 11, 10, 11, 10, 11, 11, 8, 9, 9, 9, 8, 7, 7, 11, 12, 11, 12, 12, 11, 6, 6, 7, 9, 11, 11, 12, 11, 5, 5, 6, 7, 8, 8, 6, 6, 6, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 7, 7, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 2, 1, 2, 2, 3, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 7, 1, 7, 7, 0, 0, 2, 0, 1, 2, 3, 2, 2, 2, 3, 7, 7, 0, 2, 1, 1, 1, 1, 2, 2, 8, 1, 0, 1, 1, 1, 1, 1, 3, 1, 2, 2, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2 ]
[ 465, 15798, 203, 1070, 533, 14395, 16881, 26896, 1188, 319, 203, 823, 1410, 18712, 2374, 26896, 4196, 4470, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 465, 26, 784, 711, 291, 1188, 533, 14395, 16881, 26896, 291, 630, 32, 25839, 1337, 2521, 26, 107, 14395, 16881, 26896, 27, 291, 630, 32, 25839, 1337, 2521, 26, 107, 14395, 16881, 26896, 32, 3615, 27, 291, 630, 32, 25839, 1337, 2521, 26, 107, 14395, 16881, 26896, 32, 88, 41415, 27, 291, 630, 32, 25839, 1337, 2521, 26, 107, 14395, 16881, 26896, 32, 88, 41415, 32, 5883, 27, 291, 630, 32, 25839, 1337, 2521, 26, 107, 14395, 16881, 26896, 32, 3615, 32, 965, 27, 291, 630, 32, 25839, 1337, 2521, 26, 107, 14395, 16881, 26896, 32, 88, 41415, 32, 5883, 32, 965, 27, 284, 665, 894, 81, 465, 81, 302, 26, 784, 711, 291, 1188, 533, 14395, 16881, 26896, 619, 22720, 291, 630, 32, 25839, 1337, 2521, 26, 1269, 27, 291, 630, 32, 25839, 1337, 2521, 26, 1269, 32, 3615, 27, 291, 630, 32, 25839, 1337, 2521, 26, 1269, 32, 88, 41415, 27, 291, 630, 32, 25839, 1337, 2521, 26, 1269, 32, 88, 41415, 32, 5883, 27, 291, 630, 32, 25839, 1337, 2521, 26, 1269, 32, 3615, 32, 965, 27, 291, 630, 32, 25839, 1337, 2521, 26, 1269, 32, 88, 41415, 32, 5883, 32, 965, 27, 284, 665, 894, 81, 465, 81, 464, 26, 784, 711, 291, 630, 32, 25839, 1337, 2521, 26, 3615, 27, 291, 630, 32, 25839, 1337, 2521, 26, 88, 41415, 27, 291, 630, 32, 25839, 1337, 2521, 26, 88, 41415, 32, 5883, 27, 291, 630, 32, 25839, 1337, 2521, 26, 3615, 32, 965, 27, 291, 630, 32, 25839, 1337, 2521, 26, 88, 41415, 32, 5883, 32, 965, 27, 284, 665, 894, 81, 465, 81, 18617, 26, 784, 711, 291, 645, 533, 14395, 16881, 26896, 1188, 6207, 30, 296, 41415, 291, 630, 32, 25839, 1337, 2521, 26, 3615, 27, 291, 630, 32, 25839, 1337, 2521, 26, 88, 41415, 27, 291, 630, 32, 25839, 1337, 2521, 26, 88, 41415, 32, 5883, 27, 291, 630, 32, 25839, 1337, 2521, 26, 3615, 32, 965, 27, 291, 630, 32, 25839, 1337, 2521, 26, 88, 41415, 32, 5883, 32, 965, 27, 203, 823, 1410, 18712, 2374, 26896, 5324, 4470, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 22297, 81, 2848, 26, 784, 711, 291, 1188, 533, 14395, 16881, 26896, 619, 22720, 291, 630, 32, 25839, 1337, 2521, 26, 1269, 32, 3615, 32, 22297, 81, 2848, 27, 284, 665, 894, 81, 965, 26, 784, 711, 291, 1188, 533, 14395, 16881, 26896, 619, 22720, 291, 630, 32, 25839, 1337, 2521, 26, 1269, 32, 3615, 32, 965, 1157, 284, 665, 894, 81, 5078, 26, 784, 711, 291, 1188, 533, 14395, 16881, 26896, 619, 22720, 291, 630, 32, 25839, 1810, 26, 1269, 32, 3615, 32, 5078, 1026, 5436, 27, 284, 665, 894, 81, 983, 26, 784, 711, 291, 1188, 533, 14395, 16881, 26896, 619, 22720, 291, 630, 32, 25839, 2521, 26, 1269, 32, 3615, 32, 983, 463, 2847, 291, 630, 32, 5299, 26, 324, 22720, 32, 3615, 32, 983, 10385 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 8, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 10, 10, 10, 10, 9, 10, 10, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 10, 10, 10, 10, 9, 10, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 11, 11, 11, 11, 10, 11, 11, 9, 10, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 10, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 11, 10, 11, 11, 9, 10, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 10, 10, 9, 10, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 5, 5, 5, 5, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 10, 10, 9, 10, 8, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 11, 10, 11, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 7, 11, 10, 11, 9, 10, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 7, 11, 10, 11, 9, 10, 9, 11, 4, 4, 7, 8, 7, 7, 7, 10, 11, 9, 10, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 3, 3, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1 ]
[ 465, 316, 30, 11412, 30, 3619, 10185, 30, 2361, 30, 16539, 203, 1070, 2340, 1040, 1188, 4118, 203, 465, 12643, 619, 6121, 203, 465, 622, 81, 20752, 203, 1070, 5034, 8701, 605, 1188, 7841, 11382, 203, 589, 9073, 2019, 26, 2501, 81, 466, 711, 284, 4774, 280, 27958, 32, 45606, 26, 2501, 81, 466, 32, 2998, 463, 47503, 12532, 47, 27958, 32, 18165, 27, 284, 4774, 81, 541, 30, 4774, 81, 530, 280, 4774, 32, 508, 48275, 346, 284, 442, 4774, 81, 541, 203, 589, 2454, 5813, 1547, 2262, 284, 1459, 330, 7067, 8564, 460, 2340, 2417, 25, 284, 1875, 81, 770, 81, 668, 280, 1149, 346, 284, 1875, 81, 668, 280, 1149, 346, 284, 623, 2156, 463, 47201, 81, 101, 3258, 33, 605, 33, 3779, 36, 3375, 32, 4700, 683, 619, 296, 44, 291, 11412, 6308, 280, 11412, 32, 6308, 26, 88, 27, 291, 436, 2698, 328, 11412, 6308, 44, 324, 1875, 81, 1516, 280, 2698, 77, 34, 79, 324, 1875, 81, 770, 280, 316, 32, 1113, 26, 100, 25, 12456, 34, 31, 43, 16249, 2550, 2698, 77, 36, 1130, 324, 1875, 81, 770, 81, 668, 32, 1689, 2009, 2808, 81, 770, 30, 1875, 81, 1516, 1130, 324, 1875, 81, 668, 32, 1689, 26, 2808, 81, 1516, 27, 284, 442, 1875, 81, 770, 81, 668, 30, 1149, 26, 35107, 26, 2808, 81, 668, 490, 203, 589, 2454, 7931, 1547, 2262, 284, 1459, 330, 7067, 4583, 2340, 2417, 25, 284, 4583, 81, 770, 81, 2665, 280, 5436, 346, 284, 623, 2156, 463, 3375, 81, 770, 32, 4700, 683, 619, 296, 44, 291, 11412, 6308, 280, 11412, 32, 6308, 26, 88, 30, 19713, 34155, 102, 683, 291, 436, 2698, 328, 11412, 6308, 44, 324, 4583, 81, 314, 280, 2698, 77, 34, 79, 324, 5081, 81, 1003, 280, 2698, 77, 35, 79, 324, 7138, 81, 2067, 280, 4118, 32, 2208, 26, 1294, 81, 1003, 27, 324, 1133, 81, 466, 280, 7138, 81, 2067, 32, 633, 512, 5634, 26, 978, 10185, 32, 16700, 547, 20834, 15339, 75, 23, 95, 23, 86, 683, 324, 4583, 81, 770, 81, 2665, 77, 3375, 81, 314, 79, 280, 1133, 81, 466, 284, 442, 4583, 81, 770, 81, 2665, 203, 589, 8435, 5813, 26, 3375, 81, 314, 30, 4583, 81, 770, 81, 2665, 30, 1875, 81, 770, 81, 668, 711, 284, 415, 4583, 81, 314, 328, 4583, 81, 770, 81, 2665, 44, 291, 4583, 81, 770, 280, 4583, 81, 770, 81, 2665, 77, 3375, 81, 314, 79, 284, 813, 44, 291, 436, 1202, 328, 4583, 81, 770, 81, 2665, 44, 324, 415, 4583, 81, 314, 328, 1202, 44, 400, 4583, 81, 770, 280, 4583, 81, 770, 81, 2665, 77, 678, 79, 284, 436, 1623, 328, 1875, 81, 770, 81, 668, 44, 291, 415, 4583, 81, 770, 2377, 1623, 77, 34, 2786, 324, 442, 1623, 77, 35, 79, 284, 442, 1875, 81, 770, 81, 668, 6448, 35, 1674, 35, 79, 203, 589, 3345, 5419, 26, 983, 711, 284, 442, 316, 32, 1113, 26, 100, 28249, 77, 5272, 8169, 6155, 370, 2550, 1519, 27, 203, 589, 2454, 9504, 38, 47550, 26, 3153 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 4, 7, 6, 7, 6, 9, 9, 9, 8, 9, 8, 10, 6, 7, 9, 8, 9, 6, 2, 2, 6, 6, 5, 5, 6, 6, 4, 4, 6, 7, 7, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 2, 2, 5, 5, 4, 4, 6, 2, 2, 3, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 3, 3, 3, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 5, 5, 6, 5, 5, 5, 9, 9, 8, 8, 9, 10, 9, 6, 6, 9, 9, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 11, 6, 6, 10, 10, 10, 10, 9, 10, 9, 11, 11, 11, 10, 10, 11, 11, 10, 6, 6, 10, 10, 9, 10, 9, 10, 10, 10, 9, 2, 2, 3, 5, 5, 5, 5, 4, 4, 6, 8, 8, 9, 9, 9, 8, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 2, 2, 3, 8, 10, 10, 10, 10, 10, 10, 6, 6, 3, 3, 3, 7, 6, 6, 8, 9, 8, 9, 8, 8, 9, 12, 11, 4, 4, 5, 5, 5, 6, 5, 5, 5, 9, 9, 8, 8, 9, 10, 9, 6, 6, 9, 9, 8, 8, 9, 10, 9, 6, 6, 9, 9, 8, 8, 10, 11, 10, 11, 11, 11, 10, 6, 6, 9, 9, 8, 8, 13, 13, 12, 13, 13, 13, 12, 14, 14, 13, 14, 12, 11, 10, 12, 12, 12, 12, 12, 12, 6, 6, 10, 10, 10, 10, 9, 10, 10, 10, 9, 8, 8, 9, 9, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 5, 5, 4, 4, 5, 5, 5, 5, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 7, 8, 8, 8, 7, 3, 3, 4, 4, 4, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 8, 10, 10, 9, 9, 8, 8, 8, 12, 12, 11, 11, 13, 13, 13, 13, 12, 13, 12, 2, 2, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 7, 7, 6, 6, 7, 8, 7, 5, 5, 7, 8, 9, 8, 2, 2, 3, 6, 6, 6, 6, 5, 7, 5, 5, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 5, 5, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 2, 1, 1, 0, 6, 6, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 2, 5, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 2, 7, 7, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 3, 1, 1, 1, 1, 0, 8, 8, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 8, 8, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 4, 4, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 10, 10, 1, 1, 1, 2, 1 ]
[ 465, 5167, 30, 2361, 30, 35094, 203, 465, 1695, 40, 38, 203, 465, 2322, 203, 983, 280, 330, 525, 555, 35, 36, 41, 32, 34, 32, 34, 32, 35, 44, 42, 39, 34, 34, 25, 203, 1070, 13082, 81, 2590, 32, 14458, 32, 26843, 81, 4531, 1188, 2398, 2157, 1972, 203, 1070, 13082, 81, 2590, 32, 40178, 81, 12465, 32, 26843, 1188, 12184, 338, 2780, 203, 465, 273, 38200, 32, 716, 5837, 203, 6175, 81, 15286, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 35490, 4064, 761, 505, 3662, 9142, 203, 26843, 280, 12184, 338, 2780, 346, 203, 26843, 81, 4531, 280, 2398, 2157, 1972, 26, 26843, 27, 203, 1945, 81, 5207, 280, 273, 38200, 32, 716, 5837, 32, 59, 1752, 41540, 32, 2386, 922, 1945, 81, 5207, 203, 589, 32347, 81, 371, 26, 2956, 30, 622, 81, 678, 280, 330, 7831, 284, 1984, 280, 6611, 101, 33, 104, 35, 33, 12465, 9708, 101, 25, 904, 308, 983, 30, 2887, 27, 284, 1459, 330, 2205, 438, 499, 5769, 1984, 284, 1056, 280, 5167, 32, 371, 26, 965, 547, 878, 284, 415, 646, 1056, 44, 4456, 442, 284, 1056, 280, 2361, 32, 12474, 26, 1267, 27, 284, 1056, 280, 428, 106, 710, 882, 785, 436, 816, 328, 1056, 79, 284, 1056, 280, 428, 1260, 32, 12474, 26, 1439, 40, 38, 32, 84, 40, 38, 5460, 26, 106, 490, 436, 816, 328, 1056, 415, 816, 79, 284, 1056, 280, 1056, 77, 34, 79, 284, 415, 622, 81, 678, 44, 4456, 1056, 280, 1056, 32, 371, 26, 371, 81, 678, 30, 1056, 27, 284, 442, 1056, 203, 589, 32347, 81, 3215, 26, 2956, 30, 706, 711, 284, 1984, 280, 6611, 101, 33, 104, 35, 33, 12465, 9708, 101, 25, 904, 308, 983, 30, 2887, 27, 284, 1459, 330, 2205, 438, 499, 5769, 1984, 284, 1056, 280, 5167, 32, 524, 26, 965, 30, 706, 280, 706, 27, 284, 1459, 1056, 203, 589, 3610, 81, 452, 81, 890, 81, 26843, 26, 1473, 81, 426, 30, 1300, 81, 2956, 81, 311, 18752, 30, 1300, 81, 2956, 81, 3631, 280, 5518, 622, 81, 678, 280, 2550, 7456, 81, 605, 81, 26801, 280, 1665, 30, 7456, 81, 605, 81, 5321, 280, 6663, 3610, 81, 678, 280, 330, 7831, 284, 415, 646, 3610, 81, 678, 44, 291, 3610, 81, 678, 280, 1300, 81, 426, 474, 330, 101, 25, 284, 3610, 81, 605, 280, 32347, 81, 371, 26, 1455, 81, 678, 30, 622, 81, 678, 27, 284, 415, 646, 3610, 81, 605, 44, 442, 284, 436, 706, 328, 3610, 81, 605, 44, 291, 1459, 330, 750, 438, 499, 5769, 706, 291, 1596, 44, 324, 13650, 280, 301, 106, 499, 706, 32, 371, 26, 106, 27, 436, 816, 328, 1300, 81, 2956, 81, 3631, 111, 291, 2940, 44, 4288, 4036, 4456, 1300, 81, 2956, 280, 1300, 81, 2956, 81, 311, 18752, 32, 1643, 14605, 24209, 27, 291, 415, 7456, 81, 605, 81, 26801, 44, 4288, 706, 280, 7456, 81, 605, 81, 26801, 26, 605, 30, 1115, 10097, 81, 605, 81, 5321, 27, 291, 1459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 8, 4, 0, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 5, 4, 0, 3, 3, 3, 2, 2, 8, 7, 8, 8, 6, 7, 7, 7, 5, 6, 5, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 4, 3, 3, 5, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 6, 6, 6, 2, 2, 3, 5, 5, 5, 5, 3, 2, 2, 4, 4, 7, 8, 7, 8, 7, 6, 2, 2, 3, 4, 3, 3, 3, 2, 2, 4, 4, 6, 7, 6, 7, 6, 2, 2, 4, 4, 7, 6, 8, 8, 5, 6, 6, 6, 5, 2, 2, 4, 4, 8, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 10, 9, 10, 9, 5, 6, 6, 6, 5, 6, 5, 2, 2, 4, 4, 5, 6, 5, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 6, 6, 6, 2, 2, 3, 5, 5, 5, 5, 3, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 7, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 3, 3, 2, 4, 4, 3, 3, 2, 4, 4, 4, 4, 3, 3, 2, 2, 4, 4, 4, 4, 3, 3, 2, 4, 4, 3, 3, 5, 1, 1, 3, 4, 5, 5, 3, 3, 3, 7, 7, 6, 6, 8, 8, 7, 7, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 4, 5, 5, 3, 3, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 5, 7, 7, 7, 7, 5, 4, 4, 5, 5, 5, 8, 8, 11, 10, 10, 12, 13, 12, 13, 12, 9, 10, 10, 10, 11, 11, 11, 11, 9, 5, 5, 6, 6, 6, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 9, 8, 9, 8, 10, 8, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 11, 10, 10, 12, 12, 12, 12, 12, 10, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 2, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 11, 11, 1, 1, 2, 1, 2, 2, 0, 0, 3, 3, 1, 11, 11, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 3, 1, 3, 3, 3, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 3, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 8, 1, 1, 8, 8, 8, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 9, 0, 12, 12, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 0, 13, 13, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 0, 0, 0, 0, 5, 5, 2, 0, 0, 7, 7, 2, 0, 0, 0, 0, 9, 9, 2, 2, 0, 0, 0, 0, 11, 11, 2, 0, 0, 13, 13, 1, 13, 13, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 3, 3, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 3, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5 ]
[ 465, 6436, 619, 2065, 203, 465, 13092, 203, 1070, 12643, 1188, 22365, 30, 6422, 30, 6422, 10291, 30, 10473, 1284, 30, 20886, 30, 14314, 30, 2340, 81, 3585, 203, 465, 12643, 1114, 4266, 619, 13845, 203, 465, 12643, 32, 1262, 32, 2282, 619, 767, 203, 50, 12408, 32, 12940, 203, 589, 12074, 81, 2649, 81, 1055, 81, 25063, 2262, 284, 5923, 280, 2065, 32, 955, 26, 291, 428, 324, 9650, 34, 32, 39, 35, 34, 43, 30, 429, 36, 32, 37, 37, 39, 42, 30, 429, 34, 32, 38, 40, 38, 39, 30, 225, 34, 32, 34, 39, 34, 41, 40, 30, 225, 34, 32, 37, 40, 38, 614, 324, 428, 34, 32, 38, 38, 41, 37, 30, 225, 35, 32, 38, 35, 39, 36, 30, 225, 34, 32, 36, 42, 37, 38, 30, 225, 35, 32, 34, 34, 40, 40, 35, 30, 225, 34, 32, 35, 41, 38, 38, 614, 324, 9650, 34, 32, 40, 40, 40, 36, 30, 429, 34, 32, 39, 36, 38, 37, 30, 429, 34, 32, 37, 39, 42, 30, 225, 34, 32, 42, 43, 35, 38, 39, 30, 225, 36, 32, 39, 42, 37, 42, 614, 291, 1481, 284, 829, 284, 1650, 280, 10473, 1284, 26, 291, 13021, 6020, 1365, 83, 392, 313, 106, 3439, 3037, 84, 392, 313, 99, 3439, 428, 35, 34, 32, 34, 34, 37, 36, 30, 225, 36, 34, 32, 34, 30, 225, 37, 34, 32, 34, 614, 428, 37, 30, 225, 38, 30, 225, 39, 6137, 291, 12668, 6020, 77, 34, 30, 225, 34, 30, 225, 35, 614, 428, 34, 30, 225, 35, 30, 225, 35, 614, 428, 34, 30, 225, 35, 30, 225, 36, 614, 428, 36, 30, 225, 35, 30, 225, 34, 6137, 291, 4467, 18278, 658, 392, 313, 8268, 392, 313, 12192, 392, 313, 17483, 3439, 284, 829, 284, 442, 22365, 26, 846, 30, 1650, 47, 1055, 30, 6090, 47, 668, 440, 16680, 852, 2131, 203, 50, 12408, 32, 1826, 32, 28913, 26, 284, 313, 678, 30, 3193, 30, 2910, 81, 846, 30, 2910, 81, 1055, 392, 284, 428, 291, 2884, 83, 392, 313, 26508, 34, 392, 9254, 816, 44, 816, 6894, 225, 34, 44, 36, 614, 6422, 14141, 1632, 392, 313, 3986, 3439, 636, 347, 26508, 35, 12941, 291, 2884, 3986, 392, 313, 26508, 35, 392, 9254, 816, 44, 816, 6894, 225, 35, 44, 36, 614, 6422, 14141, 83, 3439, 636, 347, 26508, 34, 12941, 284, 2505, 203, 27, 203, 589, 894, 81, 4895, 81, 9281, 81, 13756, 81, 5082, 81, 3685, 81, 35, 26, 678, 30, 3193, 30, 2910, 81, 846, 30, 2910, 81, 1055, 711, 284, 5923, 280, 2065, 32, 3855, 32, 39385, 26, 38, 30, 225, 38, 27, 284, 1650, 280, 10473, 1284, 26, 291, 13021, 6020, 1365, 83, 392, 313, 84, 3439, 3037, 1632, 392, 313, 3986, 392, 313, 7656, 392, 313, 5860, 40428, 291, 12668, 6020, 77, 34, 30, 225, 34, 30, 225, 35, 30, 225, 35, 614, 428, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 6137, 291, 4467, 18278, 26508, 34, 392, 313, 26508, 35, 3439, 284, 829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 4, 3, 4, 2, 2, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 7, 8, 7, 7, 7, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 9, 8, 8, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 9, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 9, 9, 10, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 9, 8, 8, 7, 7, 3, 3, 5, 5, 7, 7, 7, 7, 8, 10, 12, 12, 10, 12, 12, 9, 12, 12, 10, 12, 12, 9, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 10, 9, 11, 10, 10, 11, 10, 10, 11, 10, 7, 7, 8, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 10, 11, 10, 7, 7, 8, 11, 11, 9, 11, 11, 9, 11, 11, 9, 11, 11, 7, 7, 3, 3, 4, 6, 7, 6, 6, 7, 8, 6, 6, 7, 9, 9, 11, 11, 11, 0, 2, 6, 5, 6, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 6, 7, 7, 7, 8, 8, 10, 9, 10, 8, 6, 8, 11, 11, 9, 11, 11, 8, 9, 11, 11, 11, 5, 5, 8, 8, 6, 8, 8, 8, 6, 7, 7, 7, 8, 8, 10, 9, 10, 8, 6, 8, 11, 11, 8, 9, 11, 11, 11, 5, 5, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 2, 2, 5, 5, 8, 9, 7, 8, 7, 8, 7, 7, 8, 7, 3, 3, 5, 5, 7, 7, 7, 7, 8, 10, 12, 12, 10, 12, 12, 9, 12, 12, 10, 12, 12, 10, 12, 12, 10, 12, 12, 7, 7, 8, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 7, 7, 8, 11, 11, 11, 9, 11, 11, 11, 7, 7 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 2, 1, 1, 0, 4, 4, 0, 2, 0, 4, 1, 1, 0, 0, 0, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 1, 1, 9, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 7, 7, 7, 7, 7, 7, 7, 3, 3, 9, 9, 9, 9, 9, 9, 3, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 9, 9, 9, 9, 9, 9, 5, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 2, 1, 7, 7, 3, 7, 7, 5, 7, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 1, 3, 3, 3, 3, 3, 5, 3, 2, 1, 5, 5, 3, 5, 5, 5, 5, 2, 1, 7, 7, 3, 7, 7, 5, 7, 1, 1, 5, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 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, 1, 5, 5, 5, 3, 3, 0, 4, 2, 3, 1, 1, 1, 2, 1, 1, 2, 1, 3, 1, 1, 2, 3, 3, 1, 2, 3, 1, 1, 2, 3, 5, 5, 5, 3, 3, 0, 4, 2, 3, 3, 1, 1, 2, 1, 3, 1, 1, 2, 3, 3, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 2, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 1, 1, 5, 1, 1, 2, 2, 1, 1, 2, 1, 1 ]
[ 465, 5741, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 48157, 3517, 3767, 32, 2304, 1188, 4448, 2963, 203, 465, 316, 203, 465, 5167, 203, 1070, 11322, 299, 1188, 11322, 203, 823, 11732, 46161, 2554, 924, 26, 984, 711, 284, 3097, 203, 823, 11732, 46161, 3157, 27981, 26, 6754, 46161, 2554, 924, 711, 284, 3097, 203, 27964, 81, 19675, 81, 3459, 81, 23607, 69, 280, 225, 35, 34, 34, 34, 261, 203, 38915, 81, 16718, 81, 12275, 567, 14406, 81, 24924, 6870, 1798, 527, 280, 225, 35, 34, 34, 34, 261, 203, 38915, 81, 16718, 81, 12275, 567, 14406, 81, 3459, 280, 225, 35, 34, 34, 34, 34, 261, 203, 27964, 81, 5807, 81, 12908, 280, 225, 35, 261, 203, 11844, 81, 5976, 19666, 81, 613, 280, 316, 32, 6993, 26, 284, 25366, 13382, 45, 4870, 4083, 109, 34, 30, 35, 12560, 3424, 10228, 1492, 109, 34, 30, 35, 10598, 25, 203, 27, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 11732, 46161, 48254, 26, 1473, 711, 284, 2330, 280, 1665, 284, 665, 1156, 1664, 3207, 291, 630, 30, 291, 10512, 81, 314, 47, 2521, 30, 291, 2145, 81, 965, 47, 2521, 30, 291, 4125, 81, 923, 81, 678, 47, 2521, 30, 291, 4125, 81, 2055, 81, 678, 47, 2521, 30, 291, 4125, 81, 687, 1439, 47, 2521, 284, 8063, 291, 415, 646, 10512, 81, 314, 44, 324, 10512, 81, 314, 280, 4070, 32, 16134, 10382, 81, 32034, 14406, 69, 710, 6604, 81, 314, 785, 291, 415, 646, 2145, 81, 965, 44, 324, 2145, 81, 965, 280, 4070, 32, 16134, 10382, 81, 8094, 81, 2413, 291, 415, 646, 4125, 81, 923, 81, 678, 44, 324, 4125, 81, 923, 81, 678, 280, 4070, 32, 16134, 10382, 81, 32034, 14406, 69, 710, 1237, 81, 923, 81, 678, 785, 291, 415, 646, 4125, 81, 2055, 81, 678, 44, 324, 4125, 81, 2055, 81, 678, 280, 4070, 32, 16134, 10382, 81, 32034, 14406, 69, 77, 400, 330, 1237, 81, 2055, 81, 678, 25, 324, 1481, 291, 415, 646, 4125, 81, 687, 1439, 44, 324, 4125, 81, 687, 1439, 280, 4070, 32, 16134, 10382, 81, 32034, 14406, 69, 710, 1237, 81, 687, 1439, 785, 291, 415, 646, 630, 32, 2554, 44, 324, 3636, 10091, 463, 2554, 646, 3191, 683, 291, 630, 32, 1237, 81, 923, 81, 678, 280, 4125, 81, 923, 81, 678, 291, 630, 32, 1237, 81, 2055, 81, 678, 280, 4125, 81, 2055, 81, 678, 291, 630, 32, 1237, 81, 687, 1439, 280, 4125, 81, 687, 1439, 291, 630, 32, 1786, 81, 965, 280, 8930, 34, 15117, 35, 3188, 7797, 33, 37, 32, 34, 5263, 36, 3188, 2473, 1643, 26, 324, 2145, 81, 965, 30, 324, 630, 32, 1237, 81, 687, 1439, 30, 324, 630, 32, 2554, 30, 291, 829, 291, 630, 32, 2393, 280, 2726, 109, 34, 111, 29, 109, 35, 16805, 1643, 26, 6604, 81, 314, 30, 630, 32, 1237, 81, 923, 81, 678, 471, 3486, 8930, 34, 16805, 1643, 26, 784, 32, 1237, 81, 2055, 81, 678, 471, 27, 291, 630, 32, 1357, 81, 3550, 280, 4448, 2963 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 4, 4, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 3, 3, 5, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 7, 7, 7, 7, 5, 5, 5, 9, 9, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 7, 7, 7, 7, 5, 5, 5, 9, 9, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 4, 4, 5, 6, 7, 8, 5, 5, 5, 7, 9, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 8, 8, 9, 9, 8, 8, 8, 9, 10, 10, 10, 10, 8, 8, 8, 9, 10, 8, 8, 8, 4, 4, 7, 8, 6, 6, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 10, 10, 9, 9, 10, 11, 11, 11, 11, 11, 9, 7, 7, 11, 11, 10, 9, 11, 10, 11, 11, 11, 11, 11, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 10 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 7, 7, 1, 1, 1, 2, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 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, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 0, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 0, 7, 2, 2, 2, 2, 0, 0, 0, 0, 9, 2, 2, 2, 2, 0, 0, 0, 11, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 2, 5, 5, 5, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0 ]
[ 505, 2116, 505, 280, 313, 4494, 559, 1372, 774, 1719, 20, 203, 505, 2077, 505, 280, 313, 6675, 20, 203, 465, 5237, 203, 465, 22045, 36, 203, 465, 316, 203, 465, 44524, 203, 465, 24297, 203, 1270, 44, 284, 1188, 4281, 1260, 619, 2361, 203, 7343, 29986, 44, 284, 1596, 44, 291, 1188, 2361, 284, 2940, 29986, 44, 291, 5237, 32, 8228, 32, 1821, 440, 6656, 1260, 556, 2361, 2129, 436, 4212, 32, 225, 34688, 299, 5327, 96, 657, 291, 5237, 32, 4775, 346, 203, 1270, 44, 284, 645, 39231, 1188, 35713, 44038, 32101, 619, 323, 422, 203, 7343, 29986, 44, 284, 5237, 32, 8228, 32, 1821, 440, 1467, 19959, 32101, 2129, 372, 2179, 706, 657, 284, 5237, 32, 8228, 32, 1821, 440, 8296, 529, 15215, 81, 3789, 36493, 30122, 82, 657, 284, 5237, 32, 4775, 346, 203, 7201, 6441, 6751, 280, 316, 32, 6993, 26, 100, 13950, 12456, 48, 6603, 19830, 203, 12447, 22629, 280, 316, 32, 6993, 26, 100, 7646, 101, 36998, 203, 589, 2179, 26, 878, 711, 284, 442, 323, 422, 26, 12447, 22629, 32, 1113, 463, 5769, 16469, 6441, 6751, 32, 1113, 22869, 1344, 3662, 4483, 10497, 47, 39004, 32, 2320, 81, 1438, 33026, 27, 203, 823, 41698, 690, 26, 1473, 711, 284, 617, 1237, 280, 330, 35, 32, 34, 25, 284, 665, 1156, 1664, 3207, 784, 30, 4755, 30, 1256, 81, 314, 30, 4125, 81, 678, 47, 2521, 711, 291, 630, 32, 2851, 280, 4755, 291, 630, 32, 496, 81, 314, 280, 1256, 81, 314, 291, 630, 32, 1237, 81, 678, 280, 4125, 81, 678, 284, 665, 617, 28595, 26, 784, 30, 4250, 81, 626, 711, 291, 1984, 280, 330, 525, 555, 1237, 15231, 101, 9708, 101, 33, 3707, 9708, 101, 9708, 101, 49, 1548, 47, 1508, 24, 1637, 891, 47, 35, 34, 34, 25, 904, 308, 784, 32, 2851, 30, 630, 1114, 1237, 30, 630, 32, 496, 81, 314, 30, 4250, 81, 626, 27, 291, 415, 630, 32, 1237, 81, 678, 438, 646, 1665, 44, 324, 1984, 1454, 15441, 678, 6132, 101, 25, 904, 630, 32, 1237, 81, 678, 291, 1795, 280, 44524, 32, 652, 2338, 26, 39362, 36, 32, 305, 33786, 26, 965, 547, 850, 1157, 291, 442, 24297, 32, 57, 3969, 974, 26, 761, 2067, 47, 1286, 547, 850, 346, 284, 665, 16645, 81, 878, 26, 784, 30, 4250, 81, 626, 711, 291, 2361, 81, 605, 280, 630, 1114, 28595, 26, 3707, 81, 626, 27, 291, 19969, 280, 428, 10004, 710, 1548, 785, 436, 7592, 328, 2361, 32, 12474, 26, 1260, 81, 605, 5594, 3707, 81, 626, 3212, 291, 442, 428, 466, 26, 1643, 26, 10004, 490, 436, 7592, 328, 19969, 79, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 21010, 690, 280, 41698, 690, 463, 16030, 32, 508, 370, 225, 35, 36, 40, 34, 38, 36, 27, 284, 436, 485, 328, 21010, 690, 32, 24104, 81, 878, 463, 21750, 7831, 291, 1459, 485, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 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, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 4, 4, 6, 4, 4, 5, 5, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 6, 6, 9, 10, 9, 0, 1, 1, 1, 1, 3, 3, 3, 6, 6, 4, 4, 5, 1, 2, 2, 2, 2, 2, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 7, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 8, 8, 7, 8, 7, 9, 7, 10, 10, 9, 10, 9, 9, 9, 5, 7, 6, 8, 7, 8, 8, 8, 8, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 10, 10, 8, 8, 9, 9, 8, 4, 4, 5, 7, 8, 8, 8, 6, 6, 6, 5, 5, 5, 8, 8, 11, 11, 11, 11, 9, 9, 10, 11, 11, 11, 4, 4, 6, 6, 8, 9, 9, 8, 13, 13, 12, 13, 13, 12, 13, 12, 11, 10, 4, 4, 5, 9, 10, 10, 10, 9, 11, 11, 10, 11, 9, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 9, 8, 10, 10, 7, 8, 8, 8, 11, 12, 11, 12, 12, 12, 11, 10, 10, 10, 9, 4, 4, 5, 8, 8, 10, 10, 11, 10, 6, 7, 7, 7, 6, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 4, 4, 6, 6, 8, 8, 8, 8, 6, 7, 7, 7, 7, 7, 7, 6, 2, 2, 3, 3, 3, 6, 5, 6, 6, 6, 5, 7, 7, 3, 3, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 0, 1, 1, 7, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 2, 1, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 3, 3, 2, 8, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 11, 11, 2, 1, 2, 11, 11, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 3, 0, 2, 2, 2, 2, 2, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 1, 1, 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, 2, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 2, 2, 7, 7, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 4, 4, 3, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 13, 13, 0, 0, 1, 1, 1, 1, 13, 13, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 3, 3, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 301, 284, 313, 426, 563, 313, 53, 290, 269, 905, 429, 9035, 299, 308, 4252, 2952, 225, 36, 34, 35, 36, 5715, 284, 313, 2310, 563, 1524, 203, 53, 290, 269, 2531, 2196, 9536, 32, 203, 1281, 16123, 203, 4360, 44, 570, 38475, 1224, 32092, 3795, 30, 358, 1145, 431, 5161, 3460, 91, 343, 32, 97, 32, 97, 4317, 2523, 481, 49032, 291, 1678, 555, 1499, 32, 101, 1145, 431, 5161, 31, 5784, 91, 32, 3935, 203, 634, 10457, 44, 334, 23227, 20922, 453, 11537, 6914, 22561, 774, 1538, 91, 7684, 30, 1258, 494, 39965, 483, 44, 8300, 1538, 91, 20475, 83, 334, 439, 15727, 676, 83, 44981, 91, 7684, 30, 358, 1145, 431, 5161, 3460, 91, 44, 8300, 1538, 91, 20475, 83, 203, 3234, 44, 203, 53, 290, 269, 2531, 16079, 432, 40152, 308, 4252, 2952, 2643, 32, 36, 34, 35, 36, 27, 203, 4252, 2952, 31, 1538, 16505, 7298, 311, 17689, 7548, 16273, 6860, 11964, 364, 5161, 479, 16273, 225, 36, 34, 35, 36, 32, 203, 29870, 6686, 20475, 83, 203, 45177, 5161, 7548, 1406, 934, 40834, 2952, 31, 103, 30, 343, 7281, 44981, 272, 1044, 309, 1431, 6303, 831, 1691, 7684, 272, 4595, 32677, 17170, 595, 35673, 42577, 4595, 31270, 283, 13035, 203, 66, 686, 108, 941, 2914, 24720, 1406, 934, 298, 686, 108, 1347, 92, 3031, 11739, 91, 203, 66, 686, 11270, 447, 16009, 337, 839, 302, 1173, 203, 21521, 6994, 298, 686, 11270, 203, 14591, 15007, 941, 296, 8247, 279, 941, 2085, 108, 9976, 2709, 203, 31108, 104, 15839, 6860, 401, 3795, 44, 203, 1678, 555, 1499, 32, 591, 325, 32, 3935, 33, 34565, 33, 1001, 11964, 449, 278, 2709, 33, 591, 325, 31, 8629, 36, 34, 35, 35, 32, 15579, 203, 1678, 555, 1499, 32, 591, 325, 32, 3935, 33, 34565, 33, 1001, 11964, 449, 278, 2709, 33, 591, 325, 31, 8629, 36, 34, 35, 36, 32, 15579, 203, 37616, 284, 313, 1648, 563, 313, 35, 37, 32, 34, 392, 284, 313, 2116, 563, 313, 2961, 527, 66, 390, 290, 269, 2531, 20577, 392, 284, 330, 3153, 950, 330, 48138, 33, 3325, 9419, 370, 284, 330, 27263, 950, 428, 291, 330, 3524, 370, 284, 2505, 284, 330, 605, 950, 428, 291, 330, 605, 33, 94, 35, 34, 96, 81, 3935, 81, 5836, 81, 605, 32, 2593, 370, 291, 330, 605, 33, 3524, 32, 3524, 32, 681, 32, 4700, 370, 291, 330, 605, 33, 3524, 32, 3524, 32, 2387, 32, 4700, 370, 291, 330, 605, 33, 3524, 81, 5836, 81, 2142, 81, 605, 32, 2593, 370, 291, 330, 605, 33, 3524, 32, 9078, 32, 1363, 32, 4700, 370, 291, 330, 605, 33, 3524, 81, 9078, 81, 3734, 81, 605, 32, 2593, 370, 291, 330, 605, 33, 3524, 81, 9078, 81, 2387, 81, 605, 32, 2593, 370, 291, 330, 605, 33, 3524, 81, 9078, 81, 28803, 1282, 81, 2705, 81, 605, 32, 2593, 370, 291, 330, 605, 33, 3524, 81, 5836, 81, 2387, 81, 605, 32, 2593, 370, 284, 2505, 284, 330, 6380, 950, 428, 291, 330, 6380, 33, 6380, 81, 6604, 32, 2593, 370, 284, 2505, 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, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 5, 5, 5, 5, 5, 5, 3, 5, 5, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 4, 4, 6, 6, 6, 4, 4, 2, 2, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4 ]
[ -1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 5, 0, 1, 0, 0, 1, 1, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 1070, 25679, 1188, 298, 1643, 203, 1070, 18792, 1188, 3850, 3028, 203, 465, 316, 203, 823, 6788, 56, 274, 5231, 56, 13549, 606, 69, 448, 8584, 69, 11455, 606, 28654, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1048, 47, 2521, 711, 291, 630, 32, 13170, 81, 2516, 280, 301, 324, 330, 731, 950, 330, 466, 25, 291, 320, 291, 630, 32, 4890, 81, 1110, 280, 301, 324, 330, 731, 950, 330, 731, 25, 291, 320, 291, 630, 1114, 731, 280, 1048, 284, 477, 2433, 284, 665, 1048, 26, 784, 711, 291, 442, 630, 1114, 731, 284, 477, 731, 32, 16527, 284, 665, 1048, 26, 784, 30, 1048, 711, 291, 630, 1114, 731, 280, 1048, 284, 665, 372, 81, 2665, 26, 784, 711, 291, 1056, 280, 2149, 291, 436, 5601, 30, 617, 328, 3850, 3028, 26, 784, 32, 13170, 81, 2516, 711, 324, 786, 280, 18623, 26, 784, 30, 5601, 27, 324, 415, 6937, 26, 853, 30, 1149, 711, 400, 1056, 77, 2437, 79, 280, 1149, 26, 1110, 26, 528, 9254, 816, 44, 816, 32, 452, 81, 2665, 346, 415, 19326, 26, 106, 30, 313, 452, 81, 2665, 657, 813, 816, 30, 528, 786, 400, 9658, 324, 4348, 19326, 26, 853, 30, 313, 452, 81, 2665, 10280, 400, 1056, 77, 2437, 79, 280, 786, 32, 452, 81, 2665, 346, 324, 4348, 6937, 26, 853, 30, 5436, 711, 400, 1056, 77, 2437, 79, 280, 5436, 26, 1110, 26, 528, 9254, 1623, 44, 308, 1094, 77, 34, 614, 1623, 77, 35, 997, 452, 81, 2665, 1157, 528, 415, 19326, 26, 1094, 77, 35, 614, 313, 452, 81, 2665, 657, 813, 1623, 30, 528, 786, 32, 3028, 346, 400, 9658, 324, 813, 44, 400, 1056, 77, 2437, 79, 280, 786, 291, 442, 1056, 284, 665, 372, 81, 466, 26, 784, 711, 291, 442, 298, 1643, 26, 784, 32, 452, 81, 2665, 1157, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 630, 32, 452, 81, 466, 346, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 646, 6937, 26, 2455, 30, 6788, 56, 274, 5231, 56, 13549, 606, 69, 448, 8584, 69, 11455, 606, 28654, 711, 324, 442, 3177, 291, 442, 630, 3667, 2665, 505, 610, 1604, 3667, 2665, 505, 284, 665, 1156, 941, 3207, 784, 30, 1604, 711, 291, 442, 646, 630, 610, 1604, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 10, 10, 8, 10, 10, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 10, 10, 8, 10, 10, 7, 7, 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, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 5, 5, 7, 7, 9, 8, 9, 9, 9, 7, 5, 5, 8, 8, 10, 11, 10, 10, 10, 6, 6, 7, 9, 10, 9, 9, 9, 7, 7, 11, 12, 11, 10, 10, 12, 14, 14, 14, 14, 15, 15, 15, 18, 19, 19, 19, 18, 16, 16, 18, 19, 18, 18, 20, 20, 20, 20, 16, 16, 14, 14, 14, 14, 14, 7, 7, 8, 10, 11, 10, 10, 12, 12, 12, 12, 8, 8, 12, 13, 12, 11, 11, 13, 14, 14, 14, 13, 7, 7, 8, 10, 11, 10, 10, 10, 8, 8, 12, 13, 12, 11, 11, 13, 15, 15, 15, 15, 16, 16, 16, 20, 19, 20, 19, 18, 21, 22, 21, 21, 21, 21, 20, 17, 17, 17, 19, 21, 20, 21, 20, 19, 21, 21, 21, 21, 17, 17, 15, 15, 15, 17, 18, 17, 15, 15, 7, 7, 8, 8, 8, 12, 13, 12, 11, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 5, 5, 7, 4, 4, 5, 7, 8, 8, 6, 6, 7, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 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, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 5, 5, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 3, 3, 3, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 6, 6, 6, 0, 2, 0, 0, 0, 4, 4, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 0, 2, 2, 2, 1, 4, 4, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 4, 4, 1, 0, 2, 2, 1, 1, 2, 2, 2, 4, 4, 7, 1, 1, 1, 2, 2, 2, 7, 7, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 316, 203, 1070, 1542, 32, 5546, 1188, 12141, 203, 823, 12141, 2762, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1123, 711, 291, 630, 32, 725, 280, 1123, 284, 665, 442, 81, 452, 81, 2833, 81, 1637, 26, 784, 711, 291, 28893, 280, 630, 32, 725, 32, 4410, 291, 28893, 32, 1809, 81, 2543, 81, 1170, 81, 1204, 81, 878, 440, 2833, 1938, 1895, 2942, 346, 284, 665, 1487, 26, 784, 30, 7260, 711, 291, 28893, 280, 630, 32, 725, 32, 4410, 291, 28893, 32, 1809, 81, 2543, 81, 1170, 81, 1204, 81, 878, 440, 2174, 107, 15396, 297, 1895, 2942, 346, 291, 630, 32, 4157, 81, 5546, 81, 599, 26, 5546, 27, 291, 28893, 32, 1809, 81, 2543, 81, 1170, 81, 16689, 34203, 507, 13283, 314, 1057, 1286, 37872, 599, 33, 1131, 77, 36, 35, 49031, 2942, 346, 291, 630, 32, 5546, 81, 2613, 280, 1665, 284, 665, 5318, 81, 5546, 81, 599, 26, 784, 30, 7260, 711, 291, 28893, 280, 630, 32, 725, 32, 4410, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 22597, 392, 7260, 32, 2232, 81, 426, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 45356, 24778, 392, 7260, 32, 10511, 81, 426, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 25308, 392, 7260, 32, 2135, 81, 426, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 25465, 392, 7260, 32, 25465, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 1311, 392, 7260, 32, 1311, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 6604, 392, 7260, 32, 6604, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 2468, 392, 7260, 32, 2468, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 2833, 392, 7260, 32, 2833, 81, 2171, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 7747, 392, 7260, 32, 7747, 81, 2171, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 1007, 392, 7260, 32, 1007, 81, 2171, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 41153, 392, 7260, 32, 41153, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 1935, 392, 7260, 32, 2232, 81, 1935, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 1935, 36, 392, 7260, 32, 3090, 81, 1935, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 1935, 37, 392, 7260, 32, 14146, 81, 1935, 27, 291, 630, 32, 2342, 81, 1495, 81, 853, 440, 20237, 392, 7260, 32, 1499, 1637, 27, 291, 415, 646, 28893, 32, 1809, 81, 2543, 81, 1170, 81, 16689, 34203, 507, 13283, 314, 1057, 1286, 37872, 599, 33, 1613, 77, 35, 79, 306, 1762, 77, 35, 40, 49031, 297, 81, 4347, 2262, 324, 28893, 32, 1809, 81, 2543, 81, 1170, 81, 16689, 34203, 507, 13283, 314, 1057, 1286, 37872, 599, 33, 1613, 77, 35, 79, 306, 1762, 77, 35, 40, 49031, 2942, 346, 291, 415, 646, 28893, 32, 1809, 81, 2543, 81, 1170, 81, 16689, 34203, 507, 13283, 314, 1057, 1286, 37872, 599, 33, 1613, 77, 36, 79, 306, 1762, 77, 36, 49031, 297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 7, 8, 4, 4, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 7, 8, 4, 4, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 9, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 8, 9, 9, 7, 4, 4, 5, 6, 10, 11, 11, 11, 11, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 8, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 9, 4, 4, 5, 6, 10, 11, 11, 11, 11, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 3, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 2, 1, 4, 4, 16, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 16, 16, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 17, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 25679, 203, 465, 316, 261, 203, 465, 18792, 203, 823, 5170, 2879, 45875, 26, 1473, 711, 284, 20323, 81, 2516, 280, 301, 291, 330, 1986, 950, 330, 45875, 370, 291, 330, 1517, 950, 330, 48488, 25, 284, 320, 284, 3879, 81, 1110, 280, 301, 291, 330, 1986, 950, 330, 1986, 370, 291, 330, 1517, 950, 330, 1517, 25, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 1789, 47, 2521, 30, 2287, 47, 2521, 711, 16189, 630, 1114, 1986, 280, 1665, 291, 630, 1114, 1517, 280, 1665, 291, 630, 32, 1285, 21999, 280, 1665, 291, 415, 1789, 438, 646, 1665, 44, 324, 630, 32, 1986, 280, 1789, 291, 630, 32, 1517, 280, 2287, 284, 477, 2433, 284, 665, 1789, 26, 784, 711, 291, 442, 630, 1114, 1986, 284, 477, 1986, 32, 16527, 284, 665, 1789, 26, 784, 30, 1789, 711, 291, 630, 1114, 1986, 280, 1789, 284, 477, 2433, 284, 665, 2287, 26, 784, 711, 291, 442, 630, 1114, 1517, 284, 477, 1517, 32, 16527, 284, 665, 2287, 26, 784, 30, 2287, 711, 291, 415, 2287, 438, 1665, 44, 324, 3636, 10091, 440, 3817, 786, 436, 529, 1517, 1801, 2298, 646, 526, 529, 2521, 82, 657, 16189, 630, 1114, 1517, 280, 2287, 284, 665, 372, 81, 2665, 26, 784, 711, 291, 1056, 280, 2149, 291, 436, 5601, 30, 617, 328, 18792, 32, 40957, 26, 784, 32, 13170, 81, 2516, 711, 324, 786, 280, 18623, 26, 784, 30, 5601, 27, 324, 415, 6937, 26, 853, 30, 1149, 711, 400, 1056, 77, 2437, 79, 280, 1149, 26, 1110, 26, 528, 9254, 816, 44, 816, 32, 452, 81, 2665, 346, 415, 19326, 26, 106, 30, 313, 452, 81, 2665, 657, 813, 816, 30, 528, 786, 400, 9658, 324, 4348, 19326, 26, 853, 30, 313, 452, 81, 2665, 10280, 400, 1056, 77, 2437, 79, 280, 786, 32, 452, 81, 2665, 346, 324, 4348, 6937, 26, 853, 30, 5436, 711, 400, 1056, 77, 2437, 79, 280, 5436, 26, 1110, 26, 528, 9254, 1623, 44, 308, 1094, 77, 34, 614, 1623, 77, 35, 997, 452, 81, 2665, 1157, 528, 415, 19326, 26, 1094, 77, 35, 614, 313, 452, 81, 2665, 657, 813, 1623, 30, 528, 786, 32, 3028, 346, 400, 9658, 324, 813, 44, 400, 1056, 77, 2437, 79, 280, 786, 291, 415, 438, 39288, 26, 1397, 2879, 45875, 30, 5436, 711, 324, 436, 1202, 30, 786, 328, 630, 32, 3028, 2262, 400, 1056, 77, 678, 79, 280, 786, 291, 442, 1056, 284, 665, 372, 81, 466, 26, 784, 711, 291, 442, 25679, 32, 98, 1643, 26, 784, 32, 452, 81, 2665, 1157, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 630, 32, 452, 81, 466, 346, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 646, 6937, 26, 2455, 30, 5170, 2879, 45875, 711, 324, 442, 3177, 291, 442, 630, 3667, 2665, 505, 610, 1604, 3667, 2665, 505, 284, 665, 1156, 941, 3207, 784, 30, 1604, 711, 291, 442, 646, 630, 610, 1604, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 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, 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, 6, 7, 7, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 8, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 9, 8, 9, 9, 9, 7, 5, 5, 8, 8, 10, 11, 10, 10, 10, 6, 6, 7, 9, 10, 9, 9, 9, 7, 7, 11, 12, 11, 10, 10, 12, 14, 14, 14, 14, 15, 15, 15, 18, 19, 19, 19, 18, 16, 16, 18, 19, 18, 18, 20, 20, 20, 20, 16, 16, 14, 14, 14, 14, 14, 7, 7, 8, 10, 11, 10, 10, 12, 12, 12, 12, 8, 8, 12, 13, 12, 11, 11, 13, 14, 14, 14, 13, 7, 7, 8, 10, 11, 10, 10, 10, 8, 8, 12, 13, 12, 11, 11, 13, 15, 15, 15, 15, 16, 16, 16, 20, 19, 20, 19, 18, 21, 22, 21, 21, 21, 21, 20, 17, 17, 17, 19, 21, 20, 21, 20, 19, 21, 21, 21, 21, 17, 17, 15, 15, 15, 17, 18, 17, 15, 15, 7, 7, 8, 8, 8, 12, 13, 12, 11, 11, 4, 4, 5, 7, 7, 8, 8, 8, 7, 7, 7, 5, 5, 7, 8, 8, 7, 7, 9, 10, 9, 7, 7, 11, 12, 11, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 9, 9, 8, 5, 5, 7, 4, 4, 5, 7, 8, 8, 6, 6, 7, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 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, 2, 2, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 0, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 1, 5, 5, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 0, 1, 2, 6, 6, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 5, 5, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 3, 3, 3, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 6, 6, 6, 0, 2, 0, 0, 0, 4, 4, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 4, 4, 3, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 9, 1, 1, 1, 2, 9, 9, 0, 0, 2, 2, 2, 1, 4, 4, 10, 1, 1, 1, 2, 2, 2, 10, 10, 0, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 4, 4, 1, 0, 2, 2, 1, 1, 2, 2, 2, 4, 4, 11, 1, 1, 1, 2, 2, 2, 11, 11, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 823, 6512, 4470, 26, 18986, 32, 7233, 711, 284, 665, 894, 2495, 16227, 26, 784, 711, 291, 816, 280, 225, 35, 766, 291, 474, 225, 35, 291, 630, 32, 5299, 26, 106, 30, 225, 36, 30, 330, 29022, 436, 1628, 30728, 683, 291, 816, 280, 225, 34, 291, 630, 32, 5299, 26, 106, 30, 225, 34, 30, 330, 29022, 22206, 5093, 683, 284, 665, 894, 18727, 46308, 7983, 26, 784, 711, 291, 630, 32, 5299, 26, 681, 26, 34, 34, 34, 471, 827, 26, 34, 490, 291, 630, 32, 5299, 26, 34, 3126, 30, 225, 36, 39, 39, 27, 291, 630, 32, 5299, 26, 34, 97, 37, 41, 41, 30, 225, 36, 39, 39, 27, 291, 630, 32, 5299, 26, 36, 35, 38, 41, 38, 42, 37, 40, 38, 41, 30, 225, 34, 97, 35, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 27, 291, 630, 32, 5299, 26, 34, 84, 35, 34, 34, 35, 30, 225, 43, 27, 291, 630, 32, 23895, 26, 40672, 30, 9967, 30, 313, 34, 106, 657, 291, 645, 5237, 1188, 1769, 891, 291, 415, 1769, 891, 610, 225, 36, 35, 38, 41, 38, 42, 37, 40, 38, 41, 44, 324, 630, 32, 5299, 3736, 36, 35, 38, 41, 38, 42, 37, 40, 38, 41, 31, 35, 30, 429, 34, 97, 36, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 27, 324, 630, 32, 6549, 26, 34, 97, 37, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 848, 225, 34, 27, 324, 630, 32, 6549, 26, 34, 7465, 848, 225, 34, 27, 324, 630, 32, 6549, 26, 34, 84, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 848, 225, 34, 27, 324, 436, 309, 328, 2726, 36, 35, 38, 41, 38, 42, 37, 40, 38, 42, 370, 330, 34, 97, 38, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 370, 330, 34, 106, 35, 34, 34, 34, 34, 34, 34, 34, 34, 370, 2855, 330, 34, 84, 35, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 7831, 400, 1596, 44, 528, 816, 280, 9967, 26, 101, 27, 400, 2940, 35207, 924, 44, 528, 630, 32, 5066, 440, 9070, 924, 544, 23786, 4991, 10652, 904, 100, 20, 904, 309, 27, 291, 4348, 1769, 891, 610, 225, 43, 36, 36, 37, 37, 41, 36, 34, 37, 40, 42, 39, 38, 41, 41, 39, 42, 34, 41, 44, 324, 630, 32, 5299, 3736, 43, 36, 36, 37, 37, 41, 36, 34, 37, 40, 42, 39, 38, 41, 41, 39, 42, 34, 41, 31, 35, 30, 429, 34, 97, 35, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 27, 324, 630, 32, 6549, 26, 34, 97, 35, 41, 41, 41, 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, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 8, 7, 7, 8, 4, 4, 7, 8, 7, 8, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 4, 4, 6, 6, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 7, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 10, 10, 10, 9, 7, 9, 10, 9, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 9, 9, 9, 4, 4, 5, 5, 5, 7, 4, 4, 5, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 9, 6, 6, 9, 10, 9, 11, 11, 10, 10, 11, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 9, 6, 6, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 12, 12, 14, 15, 14, 9, 9, 10, 11, 10, 10, 10, 14, 15, 14, 17, 17, 17, 17, 17, 17, 17, 17, 17, 15, 15, 14, 5, 5, 6, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 6, 6, 0, 4, 4, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 0, 2, 1, 0, 0, 1, 1, 2, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 7, 7, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 30, 3731, 30, 23911, 30, 24088, 203, 465, 6436, 619, 2065, 203, 465, 6677, 36, 203, 465, 322, 7221, 203, 465, 322, 7221, 32, 6800, 619, 394, 203, 465, 3995, 203, 823, 15200, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 624, 81, 1664, 30, 323, 81, 1664, 30, 13226, 711, 291, 310, 81, 2024, 30, 96, 81, 1131, 280, 624, 81, 1664, 32, 3229, 291, 1201, 323, 81, 1664, 32, 3229, 610, 308, 96, 81, 2024, 21713, 291, 630, 32, 73, 280, 322, 7221, 32, 4190, 26, 853, 47, 73, 81, 1664, 32, 15315, 26, 1382, 7221, 32, 1163, 32, 1808, 74, 471, 1378, 636, 347, 73, 392, 1378, 33187, 47, 1815, 27, 291, 630, 32, 84, 280, 322, 7221, 32, 4190, 26, 853, 47, 84, 81, 1664, 32, 12091, 26, 96, 81, 2024, 30, 35, 547, 15315, 26, 1382, 7221, 32, 1163, 32, 1808, 74, 471, 1378, 636, 347, 84, 392, 1378, 33187, 47, 1815, 30, 1378, 18586, 444, 4310, 2700, 30, 1815, 490, 291, 630, 32, 15297, 280, 13226, 291, 630, 32, 2132, 280, 428, 784, 32, 73, 30, 630, 32, 84, 79, 284, 665, 1688, 26, 784, 30, 106, 711, 291, 11220, 81, 2024, 280, 394, 32, 4260, 26, 784, 32, 73, 30, 106, 27, 474, 630, 32, 84, 291, 442, 308, 1800, 81, 2024, 415, 630, 32, 15297, 438, 1665, 813, 630, 32, 15297, 26, 1800, 81, 2024, 490, 203, 823, 488, 7580, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 624, 81, 1664, 30, 323, 81, 1664, 30, 6206, 993, 711, 291, 1201, 2069, 26, 73, 81, 1664, 27, 610, 2069, 26, 84, 81, 1664, 27, 610, 2069, 26, 5429, 993, 27, 291, 630, 32, 8216, 280, 1605, 291, 436, 624, 30, 84, 30, 15297, 328, 8529, 26, 73, 81, 1664, 30, 323, 81, 1664, 30, 6206, 993, 711, 324, 630, 32, 8216, 32, 1689, 26, 4772, 26, 73, 30, 84, 30, 15297, 490, 291, 630, 32, 2132, 280, 1605, 291, 436, 5396, 328, 630, 32, 8216, 44, 324, 630, 32, 2132, 1454, 5396, 32, 2132, 284, 665, 1688, 26, 784, 30, 106, 711, 291, 436, 5396, 328, 630, 32, 8216, 44, 324, 816, 280, 5396, 32, 2024, 26, 106, 27, 291, 442, 816, 284, 665, 39560, 81, 731, 26, 784, 30, 106, 30, 107, 711, 276, 442, 394, 32, 1036, 1162, 784, 32, 2024, 26, 106, 27, 429, 533, 27, 1115, 225, 36, 27, 276, 442, 394, 32, 6009, 1162, 784, 32, 2024, 26, 106, 27, 429, 533, 27, 1115, 225, 36, 27, 284, 665, 6677, 102, 36, 85, 26, 784, 711, 291, 1628, 280, 3330, 291, 436, 4356, 328, 630, 32, 2132, 44, 324, 880, 695, 280, 4356, 32, 371, 81, 853, 346, 324, 1628, 1454, 5461, 86, 15860, 26, 568, 695, 32, 3229, 77, 34, 1130, 474, 17359, 474, 5461, 86, 15860, 26, 568, 695, 32, 3229, 77, 35, 1130, 474, 5769, 78, 96, 25, 324, 436, 533, 328, 2155, 26, 568, 695, 32, 3229, 77, 34, 10794, 400, 436, 816, 328, 2155, 26, 568, 695, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 3, 1, 3, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 8, 8, 7, 8, 8, 8, 6, 6, 8, 8, 7, 8, 4, 4, 5, 8, 8, 7, 8, 6, 6, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 9, 8, 9, 8, 10, 9, 12, 12, 12, 11, 12, 11, 14, 14, 13, 14, 12, 13, 13, 11, 8, 8, 9, 11, 11, 8, 8, 9, 10, 8, 4, 4, 7, 8, 6, 6, 9, 8, 9, 8, 10, 9, 14, 14, 14, 13, 14, 13, 14, 14, 14, 13, 14, 13, 12, 11, 14, 14, 13, 14, 12, 13, 13, 11, 8, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 8, 10, 9, 11, 10, 11, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 9, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 9, 11, 10, 11, 9, 10, 9, 7, 7, 8, 9, 4, 4, 5, 8, 8, 8, 7, 7, 9, 10, 8, 8, 7, 7, 9, 10, 9, 10, 10, 10, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 8, 6, 6, 8, 9, 9, 9, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 5, 6, 7, 6, 7, 5, 5, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 7, 5, 5, 10, 11, 9, 10, 9, 11, 11, 12, 11, 12, 11, 12, 11, 4, 4, 7, 8, 6, 6, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 9, 10, 8, 8, 9, 10, 2, 2, 3, 4, 5, 4, 5, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 8, 8, 10, 11, 10, 11, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 3, 3, 5, 7, 8, 7, 13, 12, 13, 12, 13, 12, 10, 10, 9, 8, 8, 9, 7, 4, 4, 5, 7, 8, 7, 13, 12, 13, 12, 13, 12, 10, 10, 9, 8, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 9, 8, 8, 10, 11, 11, 11, 10, 6, 6, 8, 8, 14, 14, 13, 16, 16, 15, 16, 14, 15, 14, 11, 11, 10, 10, 13, 13, 12, 15, 15, 14, 15, 13, 14, 13, 9, 9, 12, 12, 11, 6, 6, 7, 7, 7, 9, 12, 12, 11, 12, 10, 11, 10, 7, 7, 9, 9, 9, 11, 14, 14, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 2, 1, 1, 0, 5, 5, 0, 6, 6, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 4, 4, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 3, 1, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 3, 1, 2, 1, 1, 5, 2, 1, 1, 1, 0, 7, 1, 2, 3, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 4, 4, 1, 2, 1, 2, 3, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 1, 2, 2, 2, 2, 4, 4, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 2, 1, 2, 1, 4, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 3, 1, 5, 1, 4, 4, 0, 2, 0, 0, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 1, 2, 1, 2, 3, 2, 1, 1, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 4, 4, 2, 1, 1, 2, 1, 2, 3, 2, 5, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 4, 4, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 4, 4, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 5, 5, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 5, 5, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0 ]
[ 465, 19493, 203, 465, 5741, 203, 465, 2322, 203, 465, 298, 618, 203, 465, 316, 203, 465, 7060, 203, 465, 5237, 203, 465, 1133, 203, 1070, 354, 545, 32, 2304, 32, 33041, 4073, 1188, 622, 3703, 30, 16735, 18119, 1335, 7983, 203, 17222, 81, 9856, 81, 34821, 17222, 81, 4065, 280, 330, 104, 545, 32, 2304, 32, 4396, 2416, 25, 203, 17222, 81, 9856, 81, 7100, 17222, 81, 4065, 280, 330, 27958, 25, 203, 6323, 6323, 81, 14247, 81, 10843, 280, 4247, 203, 6323, 6323, 81, 14247, 81, 14263, 3521, 280, 225, 35, 36, 37, 203, 6323, 6323, 81, 19533, 81, 3459, 81, 10588, 69, 81, 14263, 3521, 280, 225, 35, 36, 38, 203, 44099, 280, 3056, 1771, 33, 5371, 25, 203, 41491, 280, 4979, 58, 203, 823, 25189, 2447, 26, 1473, 711, 284, 665, 1156, 32110, 3207, 784, 30, 636, 711, 291, 665, 11638, 2740, 1132, 30, 1115, 5321, 711, 324, 3097, 291, 442, 11638, 203, 823, 4489, 26, 1473, 711, 284, 19556, 81, 10840, 81, 18773, 280, 2933, 284, 6131, 81, 41491, 280, 2933, 284, 358, 1675, 3199, 280, 358, 1675, 3199, 10065, 477, 17614, 284, 665, 1420, 26, 6933, 30, 4774, 30, 1115, 5321, 711, 291, 540, 280, 9011, 26, 3515, 30, 1115, 5321, 27, 291, 442, 540, 1114, 1945, 346, 284, 665, 1156, 1664, 3207, 784, 30, 4774, 47, 2521, 30, 1115, 5321, 711, 291, 630, 32, 1131, 280, 10306, 32, 3235, 463, 1131, 370, 1665, 27, 291, 630, 32, 6443, 491, 550, 280, 10306, 32, 3235, 463, 6443, 491, 550, 370, 1665, 27, 291, 630, 32, 539, 81, 7883, 280, 10306, 32, 3235, 463, 539, 81, 7883, 370, 630, 32, 4855, 81, 41491, 27, 291, 630, 32, 7883, 280, 10306, 32, 3235, 463, 7883, 370, 630, 32, 41491, 27, 291, 415, 10306, 32, 3235, 463, 5820, 81, 751, 370, 1665, 711, 324, 630, 32, 751, 280, 25189, 2447, 346, 16189, 415, 646, 19326, 26, 784, 30, 330, 751, 7831, 324, 630, 32, 751, 280, 622, 3703, 26, 784, 1114, 371, 81, 751, 81, 426, 1157, 291, 630, 32, 3515, 280, 4774, 16189, 630, 1114, 15598, 81, 5553, 81, 6443, 491, 550, 280, 1665, 291, 630, 1114, 2416, 81, 1647, 280, 1665, 291, 630, 1114, 2416, 280, 1665, 291, 630, 32, 850, 891, 280, 225, 35, 34, 36, 38, 16189, 630, 1114, 7883, 3515, 280, 1665, 291, 630, 1114, 98, 1676, 81, 9281, 81, 1132, 280, 1665, 291, 630, 1114, 2416, 81, 4775, 687, 280, 1665, 291, 630, 1114, 2416, 81, 2024, 280, 1665, 291, 630, 1114, 1526, 81, 4775, 687, 81, 751, 81, 11879, 280, 630, 32, 751, 32, 731, 291, 2599, 26, 2529, 30, 630, 14585, 1664, 3207, 326, 5321, 27, 284, 665, 617, 371, 81, 751, 81, 426, 26, 784, 711, 291, 442, 630, 3667, 823, 29215, 426, 505, 284, 665, 617, 26279, 81, 1647, 26, 784, 30, 2297, 983, 47, 2521, 30, 12359, 1070, 668, 47, 2521, 711, 291, 415, 2297, 983, 438, 1665, 44, 324, 2297, 983, 280, 32406, 81, 9856, 81, 7100, 17222, 81, 4065, 291, 645, 668, 280, 2107, 45606, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 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, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 6, 6, 8, 6, 5, 5, 4, 4, 5, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 7, 5, 4, 4, 7, 7, 9, 10, 9, 9, 11, 9, 5, 5, 6, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 10, 8, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 7, 7, 5, 5, 9, 10, 8, 8, 10, 10, 4, 4, 5, 6, 8, 9, 8, 8, 10, 10, 5, 5, 9, 10, 8, 8, 10, 10, 13, 12, 13, 13, 13, 13, 13, 12, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 7, 8, 4, 4, 9, 10, 9, 9, 9, 8, 8, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 6, 6, 5, 5, 5, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 6, 6, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 4, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 4, 4, 1, 0, 17, 17, 2, 1, 2, 17, 17, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 1, 3, 3, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 4, 4, 4, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 2, 2, 2, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 6, 6, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 2 ]
[ 3596, 26, 106, 27, 18743, 203, 464, 26, 27816, 27, 202, 203, 589, 1169, 26, 27816, 711, 284, 436, 1994, 328, 27182, 44, 291, 415, 646, 1994, 44, 324, 442, 3177, 284, 442, 2933, 203, 1813, 26, 27816, 27, 4222, 203, 589, 1346, 26, 27816, 711, 284, 436, 1994, 328, 27182, 44, 291, 415, 1994, 44, 324, 442, 2933, 284, 442, 3177, 203, 1439, 800, 346, 4222, 203, 2067, 280, 330, 7656, 25, 203, 38003, 26, 2067, 30, 1695, 800, 27, 261, 203, 1771, 26, 106, 27, 10885, 203, 2420, 2009, 106, 1130, 4222, 203, 2263, 955, 2009, 1855, 27054, 7328, 27054, 3878, 3212, 1130, 4222, 203, 27325, 26, 1473, 27, 4222, 203, 589, 894, 2262, 203, 202, 4617, 203, 27325, 26, 858, 27, 294, 203, 823, 399, 44, 203, 202, 4617, 203, 83, 280, 399, 346, 203, 27325, 26, 51, 27, 3162, 203, 27325, 26, 83, 27, 3162, 203, 823, 551, 44, 203, 202, 589, 1156, 1851, 3207, 784, 711, 357, 202, 4617, 203, 84, 280, 551, 346, 203, 27325, 26, 52, 27, 3162, 203, 27325, 26, 84, 27, 3162, 203, 9918, 26, 91, 27, 10885, 203, 17614, 26, 1126, 27, 10885, 203, 823, 390, 26, 1473, 711, 284, 477, 17614, 284, 665, 296, 26, 6933, 30, 1638, 35, 30, 1638, 36, 30, 2417, 711, 291, 2417, 203, 4923, 26, 106, 30, 533, 27, 4222, 203, 6993, 26, 1855, 30, 4870, 30, 2926, 27054, 5736, 27054, 21557, 81, 6815, 13138, 10885, 203, 11476, 2009, 4543, 27054, 17463, 13138, 10885, 203, 4025, 2437, 26, 1473, 30, 636, 27, 10885, 203, 2665, 14605, 4124, 626, 27, 225, 203, 2665, 26, 9387, 30, 1115, 4124, 626, 27, 225, 203, 2665, 26, 27816, 30, 1115, 4124, 626, 27, 10885, 203, 1515, 2009, 1473, 1130, 10885, 203, 823, 17249, 26, 1473, 711, 284, 665, 1156, 1515, 3207, 784, 711, 291, 442, 2107, 3768, 370, 330, 462, 37985, 370, 330, 2645, 785, 203, 101, 280, 17249, 346, 203, 1515, 26, 101, 27, 3162, 203, 507, 1803, 26, 83, 30, 323, 27, 4222, 203, 23053, 26, 7508, 30, 1477, 47, 34, 27, 4222, 203, 277, 12967, 280, 2107, 12422, 370, 330, 4934, 2302, 370, 330, 38206, 370, 330, 73, 1146, 785, 203, 668, 26, 23053, 26, 277, 12967, 490, 202, 203, 668, 26, 23053, 26, 277, 12967, 30, 1477, 47, 35, 490, 202, 203, 589, 10703, 26, 7508, 30, 1477, 47, 34, 711, 284, 310, 280, 1477, 284, 436, 10313, 328, 6613, 44, 291, 6761, 310, 30, 10313, 291, 310, 1454, 225, 35, 203, 6569, 26, 7672, 27054, 27311, 27054, 28363, 13138, 4222, 203, 2493, 761, 26, 3607, 27054, 27311, 27054, 28363, 13138, 4222, 203, 761, 26, 426, 27054, 2926, 27054, 3112, 299, 13138, 4222, 203, 38003, 26, 88, 30, 803, 27, 203, 2029, 26, 1126, 30, 27182, 27, 4222, 203, 1808, 2009, 106, 1130, 4222, 203, 1643, 26, 853, 27054, 2179, 81, 2285, 1130, 225, 202, 32, 5872, 470, 2009, 27816, 1130, 225, 202, 21, 902, 32, 2437, 26, 1473, 30, 636, 27054, 1244, 1130, 225, 202, 21, 902, 32, 84, 3528, 346, 225, 202, 21, 902 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 4, 3, 0, 0, 3, 3, 4, 3, 0, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 3, 3, 3, 3, 5, 6, 5, 5, 5, 7, 2, 2, 3, 0, 3, 3, 4, 3, 0, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 7, 2, 2, 3, 0, 3, 3, 3, 0, 0, 3, 2, 2, 4, 4, 0, 3, 3, 4, 3, 3, 4, 3, 0, 0, 3, 3, 4, 3, 0, 0, 3, 3, 5, 4, 0, 0, 3, 3, 3, 6, 5, 5, 6, 6, 6, 4, 0, 0, 3, 3, 4, 3, 0, 0, 1, 1, 2, 1, 1, 3, 0, 3, 3, 4, 3, 0, 0, 1, 1, 1, 1, 1, 3, 0, 3, 2, 2, 4, 0, 3, 3, 4, 3, 0, 0, 3, 3, 4, 3, 0, 0, 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 4, 3, 3, 5, 0, 3, 2, 2, 4, 0, 3, 3, 4, 3, 0, 0, 3, 3, 4, 3, 0, 0, 3, 3, 4, 3, 0, 0, 3, 3, 4, 3, 0, 0, 1, 1, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 5, 4, 4, 0, 3, 3, 4, 3, 3, 3, 0, 0, 3, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 5, 5, 4, 0, 0, 3, 3, 6, 5, 5, 5, 0, 0, 3, 3, 3, 4, 3, 3, 3, 0, 0, 3, 3, 5, 5, 3, 0, 0, 3, 3, 4, 3, 3, 5, 5, 3, 0, 0, 3, 3, 4, 3, 3, 5, 5, 3, 0, 0, 3, 3, 5, 4, 0, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 6, 8, 8, 8, 6, 8, 8, 0, 3, 2, 2, 4, 0, 3, 3, 4, 3, 0, 0, 3, 3, 3, 4, 3, 3, 3, 0, 0, 3, 3, 4, 3, 3, 4, 5, 3, 0, 0, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 0, 3, 3, 5, 5, 6, 6, 5, 0, 0, 3, 3, 5, 5, 6, 6, 5, 5, 6, 7, 5, 0, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 6, 7, 7, 4, 4, 6, 6, 7, 0, 3, 3, 4, 4, 3, 4, 4, 4, 0, 0, 3, 3, 3, 4, 4, 3, 4, 4, 4, 0, 0, 3, 3, 4, 4, 3, 4, 4, 5, 4, 0, 0, 3, 3, 4, 3, 3, 3, 0, 3, 3, 4, 3, 3, 3, 0, 0, 3, 3, 5, 4, 0, 0, 5, 5, 7, 6, 6, 7, 7, 6, 3, 3, 3, 4, 4, 3, 5, 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, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 0, 0, 4, 4, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 3, 3, 3, 1, 0, 0, 0, 1, 1, 1, 0, 0, 12, 12, 2, 12, 12, 0, 0, 0, 1, 1, 1, 0, 0, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 18, 18, 18, 18, 18, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 24, 24, 2, 1, 2, 24, 24, 1, 0, 0, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 6, 1, 8, 8, 3, 3, 8, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 33, 33, 2, 1, 2, 33, 33, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 41, 41, 2, 1, 2, 2, 3, 2, 2, 41, 41, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 5, 5, 0, 0, 2, 0, 0, 1, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 4, 4, 4, 0, 0, 0, 1, 1, 2, 1, 4, 4, 3, 4, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 3, 3, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 18971, 32, 407, 32, 4373, 1188, 2680, 13976, 30, 13936, 13976, 203, 1070, 638, 1188, 3082, 203, 823, 23381, 26, 1199, 32, 1243, 711, 284, 804, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 7458, 81, 678, 47, 1815, 27, 284, 636, 280, 3082, 32, 2137, 26, 1199, 32, 652, 26, 36, 39, 39, 471, 5799, 47, 1815, 27, 284, 1361, 23465, 81, 314, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 3082, 32, 13343, 463, 1113, 23465, 32, 314, 2847, 284, 18920, 280, 3082, 32, 19115, 463, 8237, 370, 1751, 612, 1057, 31815, 370, 13671, 1057, 9010, 683, 284, 4451, 14684, 280, 3082, 32, 19115, 463, 30056, 370, 1751, 612, 1057, 31815, 370, 1378, 13671, 1057, 9010, 683, 203, 823, 17536, 3386, 26, 1199, 32, 1243, 711, 284, 804, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 7458, 81, 678, 47, 1815, 27, 284, 636, 280, 3082, 32, 2137, 26, 1199, 32, 652, 26, 36, 39, 39, 471, 5799, 47, 1815, 27, 284, 37193, 81, 314, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 3082, 32, 13343, 463, 31815, 32, 314, 2847, 284, 18920, 280, 3082, 32, 19115, 463, 8237, 370, 1751, 612, 1057, 23465, 370, 13671, 1057, 9010, 683, 203, 823, 30779, 26, 1199, 32, 1243, 711, 284, 804, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 7458, 81, 678, 47, 1815, 27, 284, 1256, 81, 314, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 3082, 32, 13343, 463, 496, 32, 314, 2847, 284, 8209, 81, 314, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 3082, 32, 13343, 463, 9892, 32, 314, 2847, 284, 43862, 81, 11986, 280, 3082, 32, 2137, 26, 1199, 32, 4709, 30, 1244, 47, 2700, 27, 284, 34751, 280, 3082, 32, 19115, 463, 21176, 370, 1751, 612, 1057, 11986, 370, 13671, 1057, 9010, 683, 203, 823, 2148, 3281, 26, 1199, 32, 1243, 711, 284, 804, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 7458, 81, 678, 47, 1815, 27, 284, 4947, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 5799, 47, 1815, 27, 284, 22599, 280, 3082, 32, 19115, 463, 11070, 370, 1751, 612, 1057, 26990, 370, 13671, 1057, 9010, 683, 203, 823, 3725, 23465, 26, 1199, 32, 1243, 711, 284, 804, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 7458, 81, 678, 47, 1815, 27, 284, 636, 280, 3082, 32, 2137, 26, 1199, 32, 652, 26, 36, 39, 39, 490, 284, 457, 1012, 3015, 280, 3082, 32, 19115, 463, 45616, 370, 1751, 612, 1057, 1113, 23465, 370, 6619, 13671, 1057, 9010, 683, 203, 823, 12641, 26, 1199, 32, 1243, 711, 284, 804, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 7458, 81, 678, 47, 1815, 27, 284, 636, 280, 3082, 32, 2137, 26, 1199, 32, 652, 26, 36, 39, 39, 490, 284, 19076, 280, 3082, 32, 2137, 26, 1199, 32, 652, 26, 36, 39, 39, 471, 5799, 47, 1815, 27, 284, 37193, 81, 314, 280, 3082, 32, 2137, 26, 1199, 32, 3061, 30, 3082 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 8, 9, 9, 9, 8, 6, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 2, 2, 4, 4, 6, 7, 6, 8, 8, 6, 8, 7, 9, 9, 6, 7, 9, 9, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 6, 8, 7, 9, 9, 6, 6, 7, 9, 9, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 8, 9, 9, 9, 8, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 2, 2, 4, 4, 6, 7, 6, 8, 8, 6, 8, 7, 9, 9, 6, 7, 9, 9, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 6, 8, 7, 9, 9, 6, 7, 9, 9, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 6, 8, 7, 9, 9, 6, 7, 9, 9, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 8, 9, 9, 9, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 6, 8, 7, 9, 9, 9, 6, 6, 7, 9, 9, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 8, 9, 9, 9, 8, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 8, 9, 9, 9, 8, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 0, 3, 1, 2, 1, 5, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 3, 1, 2, 1, 1, 5, 1, 2, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 0, 3, 1, 2, 1, 5, 1, 2, 0, 5, 5, 2, 0, 1, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 0, 3, 1, 2, 1, 5, 1, 2, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 0, 3, 1, 2, 1, 5, 1, 2, 0, 7, 7, 1, 2, 0, 1, 2, 2, 7, 7, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 3, 1, 1, 2, 1, 1, 5, 1, 2, 0, 8, 8, 2, 0, 1, 2, 2, 8, 8, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1 ]
[ 505, 2116, 505, 280, 330, 22492, 24837, 50, 2175, 32, 508, 308, 24867, 488, 24837, 9905, 203, 465, 8566, 203, 465, 17787, 203, 86, 514, 81, 2516, 280, 428, 466, 30, 15390, 30, 5436, 30, 1149, 30, 827, 26, 2521, 2177, 203, 589, 13503, 81, 5843, 26, 1772, 1473, 30, 1300, 81, 426, 30, 4878, 1094, 1057, 12483, 3111, 47, 1815, 30, 1858, 1203, 47, 34, 711, 334, 1459, 4878, 1094, 28, 1274, 1203, 474, 330, 959, 44, 330, 474, 1300, 81, 426, 334, 1459, 4878, 1094, 28, 1274, 1203, 474, 330, 620, 44, 330, 474, 596, 26, 681, 26, 1772, 1473, 490, 334, 5601, 81, 668, 280, 428, 2437, 436, 5601, 328, 4921, 26, 1772, 1473, 27, 3083, 415, 646, 5601, 32, 15990, 14728, 683, 461, 3083, 646, 17787, 32, 297, 1959, 26, 32110, 26, 1772, 1473, 30, 5601, 12634, 334, 1459, 4878, 1094, 28, 1274, 1203, 474, 330, 5086, 44, 330, 334, 1459, 4878, 1094, 28, 1274, 1203, 474, 596, 26, 2437, 81, 668, 27, 334, 343, 514, 81, 2437, 280, 428, 2437, 436, 5601, 328, 5601, 81, 668, 3083, 415, 827, 26, 32110, 26, 1772, 1473, 30, 5601, 490, 328, 343, 514, 81, 2516, 79, 334, 415, 343, 514, 81, 2437, 44, 284, 1459, 4878, 1094, 28, 1274, 1203, 474, 15584, 6390, 5414, 44, 330, 474, 596, 26, 86, 514, 81, 2437, 27, 474, 39691, 334, 5258, 444, 81, 2437, 280, 428, 2437, 436, 5601, 328, 5601, 81, 668, 4511, 415, 646, 827, 26, 32110, 26, 1772, 1473, 30, 5601, 490, 328, 343, 514, 81, 2516, 79, 334, 436, 5601, 81, 426, 328, 5258, 444, 81, 2437, 44, 284, 537, 81, 1473, 280, 18623, 26, 1772, 1473, 30, 5601, 81, 426, 27, 284, 415, 3111, 44, 397, 5081, 81, 1131, 25416, 284, 13503, 81, 5843, 26, 890, 81, 1473, 30, 5601, 81, 426, 30, 1858, 1203, 47, 1274, 1203, 29, 35, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 4, 3, 5, 2, 3, 4, 2, 2, 4, 3, 4, 2, 1, 1, 3, 7, 6, 7, 7, 5, 5, 7, 7, 7, 4, 4, 5, 5, 2, 2, 3, 7, 6, 7, 7, 5, 5, 7, 7, 7, 4, 4, 6, 8, 8, 9, 9, 8, 2, 2, 5, 5, 4, 4, 6, 5, 6, 6, 6, 8, 9, 9, 8, 5, 5, 6, 8, 10, 11, 10, 12, 7, 7, 7, 8, 10, 11, 11, 10, 12, 12, 13, 13, 12, 12, 12, 2, 2, 3, 6, 5, 6, 6, 4, 4, 6, 6, 6, 2, 2, 3, 6, 5, 6, 6, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 5, 6, 6, 6, 7, 7, 5, 5, 6, 9, 11, 11, 12, 12, 11, 11, 11, 7, 7, 8, 8, 8, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 5, 10, 9, 10, 10, 8, 8, 10, 10, 10, 10, 7, 7, 9, 10, 10, 10, 10, 9, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 5, 6, 6, 6, 7, 7, 5, 5, 6, 7, 10, 12, 12, 13, 13, 12, 12, 12, 8, 8, 9, 9, 9, 5, 2, 2, 3, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 7, 7, 6, 6, 8, 9, 9, 8, 8, 9, 9, 8, 4, 4, 5, 5, 5, 5, 9, 9, 9, 4, 4, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 8, 10, 10, 9, 10, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 4, 4, 1, 1, 2, 1, 1, 2, 2, 3, 3, 2, 2, 0, 5, 1, 2, 7, 2, 2, 2, 0, 9, 2, 2, 4, 4, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 2, 2, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 6, 1, 1, 1, 6, 6, 6, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 2, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 8, 1, 1, 8, 8, 3, 3, 3, 8, 8, 8, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 1, 1, 1, 0, 0, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 5, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 7176, 32, 3542, 1188, 19571, 203, 325, 2069, 26, 3731, 32, 6118, 27, 333, 225, 36, 44, 284, 1459, 330, 6772, 44, 904, 101, 13399, 25, 904, 5237, 32, 6118, 77, 34, 79, 284, 1459, 330, 3579, 8298, 1231, 1300, 328, 803, 13399, 25, 284, 5237, 32, 4775, 26, 35, 27, 203, 19796, 280, 3177, 203, 983, 280, 5237, 32, 6118, 77, 35, 79, 203, 1216, 313, 31864, 19571, 328, 904, 101, 20, 904, 1519, 203, 24088, 81, 2995, 280, 2156, 26, 983, 30, 330, 4506, 48891, 203, 2067, 280, 19571, 32, 944, 26, 24088, 81, 2995, 27, 203, 1216, 313, 8800, 1231, 1300, 3892, 619, 330, 2067, 7362, 203, 5525, 2933, 44, 284, 2016, 280, 5081, 81, 1131, 440, 6545, 2016, 44, 7788, 284, 2016, 280, 2016, 32, 5729, 922, 7201, 346, 284, 415, 2016, 328, 2107, 97, 370, 330, 1676, 12132, 291, 1519, 280, 5081, 81, 1131, 440, 1215, 372, 2156, 44, 7788, 291, 19571, 81, 2995, 280, 2156, 26, 983, 30, 330, 4506, 48891, 291, 2830, 280, 19571, 32, 944, 26, 24088, 81, 2995, 27, 284, 4348, 2016, 328, 2107, 90, 370, 330, 4756, 12132, 291, 1459, 313, 2303, 6350, 2305, 1924, 291, 1459, 11608, 86, 27, 297, 1066, 372, 2503, 322, 13197, 8298, 1231, 1300, 20, 291, 1459, 11608, 87, 27, 30808, 372, 4553, 322, 13197, 8298, 1231, 1300, 20, 291, 1459, 11608, 97, 27, 1127, 372, 2156, 312, 537, 19571, 803, 20, 291, 1459, 11608, 85, 27, 1573, 372, 4230, 322, 13197, 8298, 1231, 1300, 20, 291, 1459, 11608, 99, 27, 5326, 372, 22438, 19571, 7012, 20, 284, 4348, 2016, 328, 2107, 86, 370, 330, 2751, 12132, 291, 1459, 2830, 284, 4348, 2016, 328, 2107, 87, 370, 330, 3176, 12132, 291, 4553, 280, 5081, 81, 1131, 440, 3579, 2016, 44, 7788, 291, 9967, 26, 6993, 26, 3176, 30, 330, 2501, 31, 928, 370, 330, 6270, 2847, 291, 25613, 280, 2933, 284, 4348, 2016, 328, 2107, 85, 370, 330, 2679, 370, 330, 99, 370, 330, 16997, 12132, 291, 415, 25613, 44, 324, 15042, 280, 5081, 81, 1131, 440, 9850, 1300, 646, 7511, 429, 4131, 2464, 2805, 7788, 324, 415, 15042, 32, 5729, 346, 328, 2726, 107, 370, 330, 7134, 7831, 400, 19571, 81, 2995, 32, 14408, 26, 34, 27, 400, 19571, 32, 5937, 26, 2067, 30, 19571, 81, 2995, 27, 291, 19571, 81, 2995, 32, 2679, 346, 291, 2830, 280, 1665, 291, 415, 2016, 328, 2726, 99, 370, 330, 16997, 7831, 324, 1459, 313, 23764, 20, 324, 1626, 284, 813, 44, 291, 1459, 313, 6876, 2016, 6611, 101, 7362, 904, 2016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 6, 5, 6, 4, 2, 2, 3, 1, 1, 1, 3, 6, 6, 6, 6, 6, 6, 4, 4, 6, 7, 5, 6, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 6, 5, 6, 5, 0, 3, 2, 2, 0, 3, 2, 2, 4, 5, 3, 4, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 2, 2, 0, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 0, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 8, 2, 2, 4, 4, 8, 9, 8, 7, 6, 2, 2, 3, 4, 4, 7, 7, 5, 7, 7, 3, 3, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 9, 8, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 9, 9, 9, 8, 3, 3, 4, 5, 5, 8, 8, 6, 8, 8, 4, 4, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 8, 8, 6, 8, 8, 4, 4, 6, 3, 3, 4, 5, 5, 8, 8, 6, 8, 8, 4, 4, 7, 7, 9, 9, 9, 11, 11, 11, 11, 5, 5, 8, 10, 10, 11, 10, 10, 12, 12, 12, 12, 10, 12, 12, 5, 5, 7, 7, 3, 3, 4, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 4, 4, 6, 6, 6, 6, 9, 9, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 7, 7, 8, 11, 12, 11, 9, 9, 12, 12, 10, 12, 12, 8, 8, 13, 13, 12, 13, 12, 13, 12, 9, 9, 12, 13, 12, 13, 12, 12, 13, 13, 12, 5, 5, 9, 9, 8, 9, 8, 5, 5, 7, 7, 5, 5, 6, 7, 7, 10, 10, 8, 10, 10, 6, 6, 8, 10, 10, 7, 7, 3, 3, 4, 4, 4, 6, 9, 9, 9, 9, 9, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 0, 1, 2, 1, 1, 1, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 0, 10, 10, 10, 10, 10, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 2, 1, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 4, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 1, 1, 1, 2, 2, 1, 2, 5, 5, 0, 2, 2, 6, 1, 1, 1, 2, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 2, 2, 7, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 0, 3, 3, 3, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 1, 2, 3, 3, 2, 2, 8, 8, 8, 0, 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 ]
[ 465, 2322, 203, 1070, 18971, 1188, 308, 284, 34705, 30, 284, 1550, 81, 725, 30, 284, 35249, 30, 284, 1326, 203, 27, 203, 1070, 18971, 81, 16051, 81, 17042, 1188, 19850, 81, 3648, 203, 1070, 1123, 32, 13972, 32, 2465, 1032, 81, 13972, 1188, 308, 284, 27497, 81, 1297, 81, 14717, 30, 284, 27497, 81, 371, 81, 2465, 1032, 30, 284, 27497, 81, 1877, 81, 14717, 30, 284, 27497, 81, 371, 81, 14717, 81, 1170, 81, 314, 203, 27, 203, 1070, 1123, 32, 4275, 1188, 3909, 81, 4275, 203, 1070, 1123, 32, 10983, 32, 2465, 1032, 32, 14331, 1188, 308, 284, 2364, 81, 1297, 81, 14717, 81, 3968, 30, 284, 2364, 81, 1297, 81, 2465, 1032, 81, 3968, 30, 284, 2364, 81, 465, 81, 2465, 1032, 81, 3968, 30, 284, 2364, 81, 1877, 81, 14717, 81, 3968, 203, 27, 203, 1070, 1123, 32, 3378, 1188, 676, 272, 340, 203, 1070, 1123, 32, 3968, 81, 6460, 1188, 6042, 203, 2465, 1032, 81, 27336, 280, 34705, 463, 2465, 1032, 370, 1156, 426, 8223, 203, 14717, 81, 27336, 280, 34705, 463, 14717, 370, 1156, 426, 8223, 203, 3317, 81, 4275, 26, 2465, 1032, 81, 27336, 27, 203, 3317, 81, 4275, 26, 14717, 81, 27336, 27, 203, 50, 2465, 1032, 81, 27336, 32, 4351, 3247, 2465, 1032, 683, 203, 50, 16051, 81, 3648, 203, 589, 622, 81, 2465, 1032, 2262, 284, 19932, 1032, 280, 428, 87, 32, 6282, 346, 415, 484, 813, 1665, 436, 484, 328, 27497, 81, 371, 81, 2465, 1032, 7662, 284, 442, 35249, 26, 2465, 1032, 27, 203, 50, 14717, 81, 27336, 32, 4351, 3247, 14717, 14617, 6572, 44, 14717, 81, 314, 10154, 4438, 11414, 2788, 3490, 203, 589, 622, 81, 14717, 81, 1170, 81, 314, 26, 14717, 81, 314, 711, 284, 1550, 81, 725, 32, 4073, 32, 1338, 463, 371, 81, 14717, 44, 19553, 1643, 26, 14717, 81, 314, 490, 284, 19932, 340, 280, 27497, 81, 371, 81, 14717, 81, 1170, 81, 314, 26, 14717, 81, 314, 27, 284, 442, 35249, 26, 14717, 32, 6282, 1157, 203, 50, 14717, 81, 27336, 32, 4351, 3247, 14717, 370, 4438, 11414, 3705, 3490, 203, 589, 1487, 81, 14717, 2262, 284, 706, 280, 1326, 32, 371, 81, 1260, 26, 5538, 47, 1815, 27, 284, 6042, 26, 605, 30, 2364, 81, 1297, 81, 14717, 81, 3968, 27, 284, 19932, 340, 280, 676, 272, 340, 14605, 605, 27, 284, 27497, 81, 1297, 81, 14717, 26, 14717, 27, 284, 442, 35249, 26, 14717, 32, 6282, 6182, 225, 36, 34, 35, 203, 50, 2465, 1032, 81, 27336, 32, 4351, 3247, 2465, 1032, 370, 4438, 11414, 3705, 3490, 203, 50, 16051, 81, 3648, 203, 589, 1487, 81, 2465, 1032, 2262, 284, 706, 280, 1326, 32, 371, 81, 1260, 26, 5538, 47, 1815, 27, 284, 6042, 26, 605, 30, 2364, 81, 1297, 81, 2465, 1032, 81, 3968, 27, 284, 19932, 1032, 280, 1605, 284, 436, 1623, 328, 706, 44, 291, 19932, 340, 280, 676, 272, 340, 32, 1217, 32, 2029, 26, 42782, 32, 426, 610, 1623, 710, 426, 21229, 2232, 346, 291, 415, 646, 19932, 340, 44, 324, 19932, 340, 280, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 6, 6, 6, 4, 5, 5, 0, 3, 3, 3, 2, 2, 4, 6, 6, 4, 5, 5, 0, 3, 3, 3, 3, 4, 4, 4, 4, 3, 0, 3, 3, 3, 3, 4, 4, 4, 3, 0, 2, 5, 5, 5, 5, 4, 5, 4, 6, 6, 6, 1, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 2, 2, 6, 5, 5, 10, 9, 10, 9, 7, 7, 7, 7, 6, 7, 7, 7, 9, 9, 9, 9, 9, 9, 3, 3, 4, 6, 7, 7, 6, 0, 2, 5, 5, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 8, 8, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 8, 8, 7, 8, 6, 7, 6, 10, 10, 10, 10, 10, 9, 8, 9, 9, 9, 8, 3, 3, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 3, 3, 4, 6, 9, 8, 9, 8, 0, 2, 5, 5, 5, 4, 5, 4, 6, 6, 4, 5, 8, 8, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 7, 8, 8, 8, 7, 9, 8, 9, 7, 3, 3, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 6, 3, 3, 6, 5, 5, 7, 7, 7, 9, 7, 3, 3, 6, 6, 6, 6, 6, 7, 6, 3, 3, 4, 7, 10, 9, 10, 9, 5, 6, 6, 6, 0, 2, 5, 5, 5, 5, 4, 5, 4, 6, 6, 6, 4, 5, 8, 8, 1, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 7, 8, 8, 8, 7, 9, 8, 9, 7, 3, 3, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 6, 3, 3, 6, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 8, 7, 7, 13, 13, 12, 13, 11, 12, 11, 14, 13, 14, 12, 12, 13, 15, 15, 10, 9, 5, 5, 6, 7, 8, 6, 6, 6, 10, 9, 9 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 4, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 4, 1, 6, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 7, 7, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 12, 1, 1, 1, 1, 12, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 2, 14, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 4, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 1, 2, 15, 1, 1, 1, 1, 15, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ 465, 5237, 203, 465, 2322, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 35490, 4064, 761, 505, 2610, 474, 400, 2322, 32, 12595, 474, 330, 4882, 33, 8121, 25844, 203, 465, 1133, 203, 465, 12500, 203, 24411, 32, 539, 463, 32308, 683, 203, 465, 12500, 32, 17449, 619, 5743, 203, 465, 12500, 32, 25437, 619, 34270, 203, 1070, 3920, 39464, 1580, 1188, 319, 203, 26108, 81, 8094, 280, 330, 3060, 102, 36, 25, 203, 589, 4961, 6535, 26, 93, 711, 284, 442, 8580, 93, 1115, 225, 37, 27, 904, 225, 36, 39, 39, 27, 517, 225, 36, 39, 39, 32, 34, 30, 324, 1833, 93, 319, 225, 35, 34, 34, 27, 904, 225, 36, 39, 39, 27, 517, 225, 36, 39, 39, 32, 34, 30, 324, 1833, 93, 319, 831, 27, 904, 225, 36, 39, 39, 27, 517, 225, 36, 39, 39, 32, 34, 27, 203, 12213, 9135, 280, 2107, 44292, 33155, 44091, 48401, 25366, 370, 7610, 370, 2607, 330, 54, 370, 330, 58, 370, 330, 86, 370, 330, 90, 370, 330, 97, 370, 330, 98, 785, 203, 589, 622, 81, 5136, 26, 12256, 30, 2601, 30, 6935, 711, 284, 4567, 280, 15938, 7262, 26, 12256, 30, 2601, 27, 284, 11504, 280, 12368, 102, 17658, 26, 3781, 30, 330, 15036, 1419, 7754, 370, 656, 428, 12200, 7262, 32, 18440, 70, 2319, 81, 47868, 1130, 284, 5127, 280, 11504, 32, 1851, 2009, 6124, 1130, 284, 4567, 32, 2679, 346, 284, 8616, 280, 5436, 346, 284, 1420, 81, 4597, 81, 3494, 280, 2107, 5459, 370, 330, 770, 370, 330, 34825, 370, 330, 4474, 43, 39, 370, 330, 4474, 43, 43, 785, 284, 436, 2698, 328, 5127, 32, 11278, 77, 34, 997, 34805, 44, 291, 1123, 81, 5136, 280, 1605, 291, 415, 2698, 77, 34, 79, 646, 328, 8616, 44, 324, 8616, 77, 643, 77, 34, 3212, 280, 1123, 81, 5136, 291, 813, 44, 324, 1123, 81, 5136, 280, 8616, 77, 643, 77, 34, 3212, 291, 1420, 81, 5136, 280, 5436, 26, 3969, 26, 1945, 81, 4597, 81, 3494, 30, 2698, 77, 35, 44, 5259, 291, 1123, 81, 5136, 32, 1689, 26, 1945, 81, 5136, 27, 284, 436, 1123, 81, 5136, 328, 8616, 32, 1731, 2810, 2262, 291, 1123, 81, 5136, 32, 3323, 26, 678, 47, 5962, 816, 44, 816, 710, 770, 3490, 284, 442, 8616, 203, 823, 18443, 44, 284, 475, 1164, 280, 225, 35, 34, 34, 32, 34, 284, 665, 1156, 1664, 3207, 784, 30, 1780, 30, 816, 1172, 30, 533, 1172, 30, 4870, 30, 341, 30, 420, 711, 291, 630, 32, 3607, 280, 4870, 291, 630, 32, 2336, 1494, 280, 2149, 291, 341, 280, 341, 610, 1665, 461, 225, 42, 34, 34, 556, 341, 291, 420, 280, 420, 610, 1665, 461, 225, 37, 34, 34, 556, 420, 291, 6531, 280, 5743, 32, 7630, 26, 21439, 4310, 105, 517, 630, 32, 47754, 30, 420, 517, 630, 32, 47754, 471, 656, 33942, 47, 784, 32, 47754, 27, 291, 630, 32, 648, 280, 6531, 32, 669, 81, 23541, 26, 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, 0, 5, 4, 5, 3, 4, 3, 9, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 13, 12, 13, 11, 12, 11, 12, 12, 11, 5, 5, 5, 6, 7, 4, 4, 6, 6, 6, 6, 0, 1, 1, 0, 1, 1, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 10, 9, 9, 10, 8, 7, 7, 8, 8, 8, 6, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 10, 9, 9, 10, 10, 10, 8, 7, 7, 8, 8, 8, 6, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 10, 9, 9, 8, 7, 7, 8, 8, 8, 6, 5, 5, 6, 6, 6, 6, 6, 4, 0, 3, 3, 2, 2, 5, 3, 3, 3, 3, 5, 3, 5, 3, 3, 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, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 7, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 8, 8, 8, 8, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 7, 2, 2, 4, 4, 6, 7, 6, 8, 7, 2, 2, 5, 6, 5, 2, 2, 4, 4, 6, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 2, 2, 3, 3, 3, 6, 7, 5, 6, 5, 5, 3, 3, 3, 7, 7, 6, 6, 4, 4, 5, 7, 8, 7, 6, 6, 6, 5, 5, 5, 9, 11, 10, 11, 10, 8, 8, 9, 9, 5, 5, 6, 6, 6, 10, 10, 9, 9, 10, 12, 11, 12, 11, 4, 4, 7, 7, 6, 6, 8, 10, 10, 11, 11, 11, 11, 11, 10, 10, 11, 13, 12, 11, 4, 4, 8, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 5, 3, 3, 8, 8, 7, 8, 7, 9, 8, 9, 9, 9, 9, 10, 12, 12, 2, 2, 3, 0, 1, 1, 1, 1, 1, 5, 4, 4, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 6, 6, 9, 9, 8, 8, 9, 9, 9, 7, 7, 4, 4, 6, 6, 9, 9, 8, 8, 9, 9, 9, 7, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 12, 11, 11, 12, 13, 10, 10, 11, 11, 12, 13, 10, 8, 8, 9, 11, 10, 11, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 3, 3, 0, 4, 4, 0, 0, 0, 2, 1, 1, 2, 0, 6, 6, 0, 2, 1, 1, 0, 7, 7, 0, 2, 1, 1, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 5, 5, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 12, 12, 1, 1, 2, 1, 2, 2, 2, 2, 2, 12, 12, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 5, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 6, 6, 6, 0, 2, 0, 2, 0, 2, 6, 6, 6, 0, 0, 0, 0, 5, 5, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 2, 3, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 7, 7, 0, 2, 2, 1, 7, 7, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 3, 1, 2, 4, 4, 8, 0, 13, 13, 13, 13, 13, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 15390, 81, 30839, 203, 1070, 7562, 81, 23373, 1188, 438, 81, 605, 30, 438, 81, 7508, 30, 8825, 4071, 30, 42602, 30, 9804, 203, 1070, 7562, 81, 23373, 32, 5740, 1188, 706, 4071, 203, 1070, 7562, 81, 9666, 1188, 19430, 36, 30, 3850, 3028, 30, 1756, 30, 23507, 30, 19209, 203, 1070, 7562, 81, 8288, 1188, 2662, 203, 1070, 7562, 81, 8288, 32, 11452, 1188, 28182, 81, 3893, 203, 2897, 280, 3177, 203, 823, 21371, 1284, 26, 885, 30, 23507, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5036, 30, 706, 47, 2521, 30, 3547, 81, 267, 81, 12130, 47, 1815, 711, 291, 630, 1114, 605, 280, 2149, 291, 630, 1114, 3494, 280, 8825, 4071, 26, 3494, 27, 291, 630, 32, 998, 280, 225, 34, 291, 630, 32, 5066, 81, 267, 81, 12130, 280, 3547, 81, 267, 81, 12130, 291, 415, 706, 44, 324, 436, 343, 328, 706, 44, 400, 630, 32, 669, 26, 86, 27, 284, 665, 1156, 33644, 3207, 784, 30, 1202, 711, 291, 1596, 44, 324, 617, 678, 280, 786, 36, 678, 26, 784, 1114, 3494, 30, 1202, 27, 324, 415, 2069, 26, 784, 1114, 3494, 27, 610, 225, 35, 556, 2069, 2176, 678, 27, 610, 2069, 26, 784, 1114, 3494, 711, 400, 343, 280, 630, 1114, 605, 32, 371, 2176, 678, 27, 400, 442, 9804, 26, 86, 27, 324, 813, 44, 400, 1688, 280, 9804, 2009, 528, 343, 528, 436, 343, 328, 630, 1114, 605, 32, 2810, 346, 528, 415, 1169, 26, 4071, 26, 86, 5594, 93, 79, 610, 354, 436, 831, 30, 354, 328, 617, 678, 32, 3028, 1157, 400, 8834, 400, 442, 1688, 291, 2940, 3268, 619, 484, 44, 324, 2662, 32, 731, 440, 20282, 14236, 6643, 392, 484, 27, 284, 665, 1156, 470, 1094, 3207, 784, 30, 1202, 30, 786, 711, 291, 2662, 32, 731, 440, 4391, 1015, 346, 372, 1544, 372, 600, 1650, 657, 284, 665, 5036, 26, 784, 711, 291, 442, 630, 1114, 605, 32, 3494, 346, 284, 665, 4726, 26, 784, 711, 291, 1688, 280, 3850, 3028, 26, 784, 1114, 605, 547, 1978, 8532, 35, 79, 291, 630, 32, 2546, 26, 2024, 27, 291, 442, 9804, 26, 2024, 27, 284, 665, 1015, 26, 784, 30, 909, 711, 291, 909, 280, 706, 4071, 26, 695, 27, 291, 1202, 280, 786, 36, 678, 26, 784, 1114, 3494, 30, 909, 27, 291, 415, 1202, 610, 1665, 44, 324, 2662, 32, 731, 440, 33999, 1202, 372, 526, 646, 1665, 657, 291, 1596, 44, 324, 343, 280, 630, 1114, 605, 32, 371, 26, 678, 27, 291, 2940, 3268, 619, 484, 44, 324, 1202, 280, 786, 36, 678, 26, 784, 1114, 3494, 30, 909, 27, 291, 415, 343, 438, 1665, 44, 324, 630, 1114, 605, 77, 678, 79, 280, 42602, 26, 695, 27, 324, 630, 32, 998, 1454, 225, 35, 291, 4348, 343, 438, 646, 909, 44, 324, 415, 630, 32, 5066, 81, 267, 81, 12130, 44, 400, 2662, 32, 731, 440, 1656, 890, 110, 1260, 1540, 623, 1202, 3335, 678, 110, 1260, 1540, 3425, 15732, 623 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 6, 6, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 11, 12, 11, 12, 11, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 9, 8, 8, 10, 10, 10, 12, 11, 12, 10, 10, 10, 6, 6, 7, 11, 13, 12, 13, 11, 9, 9, 10, 8, 8, 11, 12, 11, 9, 9, 11, 13, 12, 13, 11, 7, 7, 10, 10, 13, 14, 12, 13, 12, 13, 12, 8, 8, 9, 11, 12, 11, 7, 7, 8, 8, 8, 11, 11, 13, 14, 14, 14, 14, 15, 15, 15, 18, 19, 17, 18, 17, 14, 14, 15, 17, 21, 21, 22, 21, 20, 19, 18, 18, 17, 18, 19, 19, 18, 18, 21, 20, 21, 20, 14, 14, 9, 9, 10, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 11, 11, 13, 12, 13, 11, 10, 9, 8, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 5, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 9, 8, 4, 4, 6, 6, 8, 8, 8, 10, 9, 10, 8, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 5, 5, 6, 7, 7, 6, 6, 6, 9, 9, 11, 11, 11, 13, 12, 13, 11, 11, 11, 4, 4, 5, 6, 6, 5, 5, 5, 10, 11, 9, 10, 9, 8, 8, 10, 11, 10, 6, 6, 9, 10, 8, 8, 9, 5, 5, 6, 7, 7, 7, 6, 6, 6, 8, 9, 10, 10, 10, 10, 10, 8, 8, 8, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 2, 2, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 0, 0, 7, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 3, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 2, 0, 2, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 4, 4, 5, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 3, 3, 0, 2, 0, 0, 2, 4, 4, 4, 1, 1, 1, 4, 4, 4, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 3363, 203, 465, 2322, 203, 465, 15798, 203, 465, 5741, 203, 1070, 15798, 32, 3613, 1188, 7841, 203, 465, 13092, 203, 1070, 6765, 17594, 32, 11452, 1188, 9527, 35263, 924, 203, 1070, 6765, 17594, 32, 1040, 1188, 14465, 203, 1070, 6765, 17594, 32, 1163, 1188, 21792, 81, 6191, 81, 3539, 30, 2454, 81, 6045, 81, 1163, 81, 761, 203, 1070, 3312, 32, 2282, 1188, 622, 81, 858, 81, 1163, 81, 1515, 30, 7841, 81, 6045, 81, 2536, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 4395, 81, 16311, 23392, 2262, 284, 623, 7841, 32, 1473, 26, 6045, 30, 330, 16311, 23392, 683, 619, 4395, 81, 16311, 23392, 44, 291, 4395, 81, 16311, 23392, 32, 371, 7792, 32, 601, 81, 853, 280, 1665, 291, 6761, 4395, 81, 16311, 23392, 203, 823, 2108, 22824, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 6656, 81, 668, 26, 784, 711, 291, 3570, 280, 313, 1163, 3491, 96, 225, 429, 4281, 78, 96, 225, 429, 1149, 20, 291, 623, 3363, 32, 652, 2338, 26, 2957, 27, 619, 803, 44, 324, 3693, 280, 14465, 32, 6045, 32, 4770, 81, 944, 26, 761, 27, 291, 1201, 3693, 710, 1163, 785, 610, 3037, 6656, 392, 313, 668, 1446, 284, 665, 894, 81, 6656, 81, 2665, 26, 784, 711, 291, 3570, 280, 313, 678, 44, 786, 20, 291, 623, 3363, 32, 652, 2338, 26, 2957, 27, 619, 803, 44, 324, 3693, 280, 14465, 32, 6045, 32, 4770, 81, 944, 26, 761, 27, 291, 1201, 3693, 710, 678, 785, 610, 330, 853, 25, 284, 665, 894, 81, 311, 2888, 444, 81, 678, 26, 784, 711, 291, 2276, 280, 301, 26851, 81, 6191, 81, 3539, 44, 330, 1436, 3491, 96, 225, 3335, 10066, 32, 1293, 2038, 6040, 291, 623, 13092, 32, 16708, 26, 4625, 35263, 924, 471, 766, 400, 7841, 81, 6045, 81, 2536, 26, 2536, 711, 324, 2454, 81, 6045, 81, 1163, 81, 761, 26, 26851, 81, 6191, 81, 3539, 27, 284, 665, 894, 81, 1347, 81, 678, 26, 784, 711, 291, 2276, 280, 301, 26851, 81, 6191, 81, 3539, 44, 330, 83, 44, 312, 78, 96, 1347, 678, 7020, 6040, 291, 623, 13092, 32, 16708, 26, 4625, 35263, 924, 471, 766, 400, 7841, 81, 6045, 81, 2536, 26, 2536, 711, 324, 14465, 32, 944, 81, 6045, 26, 26851, 81, 6191, 81, 3539, 27, 284, 665, 894, 81, 9236, 81, 4502, 26, 784, 711, 291, 2322, 32, 12757, 1365, 13001, 1446, 280, 313, 7241, 81, 2895, 20, 291, 3570, 280, 313, 2895, 44, 653, 2121, 81, 869, 44507, 20, 291, 623, 3363, 32, 652, 2338, 26, 2957, 27, 619, 803, 44, 324, 3693, 280, 14465, 32, 6045, 32, 4770, 81, 944, 26, 761, 27, 291, 1201, 3693, 710, 2895, 785, 610, 313, 7241, 81, 2895, 20, 291, 3555, 2322, 32, 12757, 1365, 13001, 1446, 284, 665, 894, 81, 9236, 81, 4502, 81, 1536, 26, 784, 711, 291, 3570, 280, 313, 2895, 44, 653, 2121, 81, 869, 44507, 9313, 81, 2895, 20, 291, 623, 3363, 32, 652, 2338, 26, 2957, 27, 619, 803, 44, 324, 3693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 3, 4, 2, 2, 1, 2, 2, 1, 2, 2, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 4, 3, 4, 2, 2, 1, 2, 2, 4, 3, 4, 2, 2, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 1, 2, 2, 3, 4, 2, 2, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 1, 3, 6, 5, 6, 5, 7, 7, 6, 7, 5, 2, 3, 3, 4, 4, 4, 4, 3, 3, 5, 10, 11, 10, 11, 10, 10, 12, 12, 12, 8, 8, 10, 10, 10, 5, 5, 5, 11, 11, 11, 10, 11, 11, 9, 10, 10, 10, 8, 8, 6, 6, 8, 9, 9, 9, 1, 2, 2, 3, 3, 5, 4, 5, 3, 2, 2, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 9, 10, 9, 9, 9, 10, 10, 9, 9, 9, 9, 5, 5, 6, 11, 12, 12, 11, 12, 11, 9, 9, 6, 6, 6, 9, 9, 12, 13, 11, 12, 12, 12, 11, 12, 11, 5, 5, 6, 8, 10, 10, 7, 7, 10, 10, 8, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 9, 9, 9, 5, 5, 6, 11, 12, 12, 11, 12, 11, 9, 9, 6, 6, 6, 9, 9, 12, 13, 11, 12, 12, 12, 11, 12, 11, 5, 5, 6, 8, 10, 10, 7, 7, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 10, 10, 10, 10, 9, 9, 11, 11, 12, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 10, 11, 10, 11, 11, 11, 10, 7, 8, 7, 10, 10, 10, 10, 10, 11, 10, 6, 6, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 10, 10, 10, 10, 9, 9, 11, 11, 11, 12, 12, 11, 11, 11, 11, 5, 5, 6, 10, 11, 10, 11, 11, 11, 10, 7, 8, 7, 10, 10, 10, 10, 10, 11, 10, 6, 6, 10, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 9, 10, 8, 10, 10, 7, 7, 9, 9, 9, 9, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 11, 12, 12, 11, 12, 11, 9, 9, 6, 6, 6, 9, 9, 12, 13, 11, 12, 12, 12, 11, 12, 11, 5, 5, 6, 8, 10, 10, 7, 7, 9, 9, 9, 9, 5, 5, 6, 8, 9, 7, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 11, 12, 12, 11, 12, 11, 9, 9, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 10, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 3, 3, 0, 1, 1, 1, 0, 11, 11, 1, 2, 0, 1, 2, 2, 11, 11, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 0, 1, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 3, 0, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 2, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1 ]