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

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
depths
listlengths
512
512
sibling_idxs
listlengths
512
512
[ 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 28771, 1188, 2364, 81, 2853, 203, 1070, 8527, 32, 7147, 1188, 13564, 203, 589, 6042, 81, 893, 26, 1495, 761, 81, 2067, 711, 284, 803, 891, 280, 1600, 761, 81, 2067, 32, 761, 32, 891, 284, 20692, 48655, 81, 3248, 280, 225, 34, 32, 39, 284, 415, 803, 891, 848, 20692, 48655, 81, 3248, 28, 35, 34, 36, 38, 28, 35, 34, 36, 38, 44, 291, 3636, 40075, 440, 2708, 803, 1334, 438, 904, 101, 3347, 20, 904, 596, 26, 36938, 48655, 81, 3248, 490, 203, 823, 12831, 26, 3378, 32, 1243, 711, 284, 1256, 280, 4549, 32, 3582, 23468, 1176, 26, 291, 2680, 30, 291, 544, 81, 2560, 47, 3378, 32, 28781, 284, 829, 284, 6274, 81, 11869, 280, 4549, 32, 1658, 1176, 26, 291, 7623, 81, 452, 1057, 2242, 9708, 75, 9708, 95, 9708, 86, 370, 291, 27927, 6020, 4635, 81, 893, 614, 291, 11771, 47, 1815, 30, 291, 744, 47, 1815, 284, 829, 284, 6274, 81, 426, 280, 4549, 32, 16357, 26, 291, 9541, 81, 426, 1057, 558, 370, 291, 744, 47, 1815, 30, 291, 11771, 47, 1815, 30, 291, 1769, 81, 1322, 47, 39, 34, 284, 829, 284, 6274, 81, 1935, 280, 4549, 32, 4477, 1176, 26, 291, 9541, 81, 426, 1057, 4477, 8983, 370, 291, 744, 47, 1815, 30, 291, 11771, 47, 1815, 284, 829, 284, 6274, 81, 2645, 280, 4549, 32, 16357, 26, 291, 9541, 81, 426, 1057, 9009, 33, 11119, 370, 291, 744, 47, 1815, 30, 291, 11771, 47, 1815, 30, 291, 1769, 81, 1322, 47, 39, 34, 284, 829, 284, 6274, 81, 933, 280, 4549, 32, 2413, 1176, 26, 291, 9541, 81, 426, 1057, 20188, 3834, 370, 291, 744, 47, 1815, 30, 291, 11771, 47, 1815, 284, 829, 284, 17310, 280, 4549, 32, 20488, 1176, 346, 284, 438, 81, 4524, 280, 4549, 32, 36172, 26, 291, 744, 47, 1815, 30, 291, 11771, 47, 1815, 284, 829, 284, 438, 81, 1803, 11290, 280, 4549, 32, 39471, 26, 291, 1244, 47, 2700, 30, 284, 829, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 596, 26, 784, 32, 496, 27, 284, 665, 4131, 26, 784, 30, 1115, 5321, 711, 291, 415, 646, 630, 32, 7794, 44, 324, 645, 48157, 742, 580, 32, 2304, 1188, 622, 81, 5665, 81, 7794, 324, 630, 32, 7794, 280, 622, 81, 5665, 81, 7794, 26, 2386, 47, 784, 30, 1600, 1057, 3959, 81, 426, 683, 291, 2599, 26, 4290, 30, 630, 547, 2853, 14605, 5321, 27, 203, 50, 16097, 26, 1526, 81, 2853, 30, 7045, 47, 1240, 27, 203, 589, 1487, 81, 496, 81, 3959, 26, 8262, 30, 1980, 30, 3272, 30, 1115, 5321, 711, 284, 415, 3272, 44, 291, 12831, 32, 5740, 32, 1297, 26, 496, 47, 2386, 27, 203, 50, 16097, 26, 1526, 81, 2853, 30, 7045, 47, 1240, 27, 203, 589, 4131, 81, 496, 81, 3959, 26, 8262, 30, 1980, 30, 1115, 5321, 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, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 4, 4, 7, 7, 7, 6, 7, 5, 6, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 2, 2, 3, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 5, 6, 6, 6, 6, 3, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 11, 10, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 8, 8, 7, 9, 8, 9, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 8, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 8, 7, 9, 9, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 8, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 6, 6, 8, 8, 7, 9, 9, 9, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 8, 7, 9, 9, 9, 9, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 8, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 6, 6, 8, 8, 7, 9, 9, 9, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 8, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 7, 9, 9, 8, 9, 7, 7, 9, 9, 9, 9, 6, 6, 9, 10, 8, 8, 10, 10, 10, 10, 10, 12, 11, 12, 10, 10, 11, 13, 13, 13, 13, 4, 4, 9, 10, 9, 9, 9, 8, 7, 9, 7, 0, 2, 4, 4, 5, 5, 5, 4, 4, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 5, 3, 2, 2, 4, 4, 4, 4, 9, 10, 8, 9, 8, 10, 9, 10, 8, 0, 2, 4, 4, 5, 5, 5, 4, 4, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 1, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 6, 6, 2, 0, 1, 2, 2, 6, 6, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 0, 0, 7, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 0, 0, 7, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 9, 1, 1, 1, 2, 9, 9, 0, 1, 0, 1, 2, 1, 4, 4, 10, 2, 1, 2, 2, 1, 2, 10, 10, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 8, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2 ]
[ 1070, 8527, 32, 12023, 1188, 3796, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 203, 823, 13601, 1240, 11063, 26, 1473, 711, 284, 3338, 280, 313, 25670, 81, 4975, 20, 284, 665, 2164, 81, 1357, 26, 784, 30, 1326, 711, 291, 415, 646, 19326, 26, 1357, 30, 330, 496, 7831, 324, 3636, 19444, 462, 631, 30096, 26, 400, 313, 1318, 18297, 6562, 1256, 3796, 12654, 7171, 322, 20, 400, 313, 9156, 12654, 372, 526, 6713, 32, 225, 10609, 1370, 20, 400, 313, 488, 779, 36290, 35291, 81, 36850, 5748, 372, 5551, 20, 400, 313, 330, 11025, 32, 12023, 32, 2393, 32, 11202, 32, 8161, 11063, 7362, 400, 313, 2670, 322, 13601, 1240, 11063, 443, 7144, 291, 1596, 44, 324, 952, 280, 1326, 32, 14254, 77, 784, 32, 2111, 79, 291, 2940, 25085, 44, 324, 442, 291, 415, 1326, 32, 496, 32, 297, 81, 22297, 2262, 324, 415, 1326, 32, 496, 32, 699, 610, 630, 32, 6008, 81, 699, 26, 699, 30, 1326, 711, 400, 442, 291, 1256, 280, 3796, 32, 22053, 26, 7001, 81, 496, 47, 699, 27, 291, 415, 1256, 44, 324, 1326, 32, 496, 280, 1256, 324, 3796, 32, 3615, 26, 1357, 30, 1256, 27, 284, 665, 5063, 81, 699, 26, 784, 30, 952, 30, 1326, 711, 291, 9161, 81, 466, 280, 1326, 32, 2848, 77, 2393, 32, 36190, 81, 9564, 81, 3307, 79, 291, 9161, 280, 3796, 32, 944, 81, 7878, 26, 7878, 81, 466, 27, 291, 1596, 44, 324, 952, 280, 9161, 32, 6008, 81, 699, 26, 699, 27, 291, 2940, 29316, 44, 4288, 3097, 291, 442, 952, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 10, 10, 5, 5, 7, 9, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 5, 5, 8, 8, 10, 11, 9, 11, 10, 11, 9, 5, 5, 6, 6, 6, 6, 4, 4, 5, 8, 9, 7, 8, 8, 8, 7, 5, 5, 7, 10, 11, 9, 10, 8, 8, 10, 11, 11, 11, 10, 11, 10, 10, 10, 7, 7, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 9, 10, 8, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 6, 6, 9, 10, 9, 10, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 7, 9, 8, 9, 9, 9, 9, 9, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 11, 10, 5, 5, 6, 6, 6, 6, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 4, 4, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 3, 3, 3, 3, 4, 4, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 0, 2, 0, 0, 3, 3, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 465, 2322, 203, 465, 5237, 203, 465, 802, 203, 3731, 32, 983, 32, 1689, 10198, 1617, 683, 203, 465, 408, 274, 3018, 203, 17143, 280, 1524, 5849, 203, 2554, 203, 5849, 203, 2993, 203, 10843, 280, 2322, 32, 983, 32, 2524, 14715, 1574, 392, 313, 1237, 32, 2760, 657, 203, 589, 11760, 26, 1427, 800, 711, 284, 415, 646, 48558, 44, 291, 442, 4247, 284, 5430, 280, 48558, 32, 8931, 10487, 922, 2998, 4446, 346, 284, 10525, 280, 5237, 32, 1449, 410, 284, 436, 1628, 328, 5430, 77, 35, 44, 2786, 291, 42701, 280, 1628, 32, 94, 7201, 346, 291, 415, 42701, 44, 324, 10525, 280, 1847, 26, 9378, 30, 2069, 26, 928, 27, 429, 2069, 26, 2758, 7993, 490, 284, 41556, 280, 428, 4446, 77, 34, 997, 7201, 7662, 284, 415, 10525, 333, 5237, 32, 1449, 410, 44, 291, 436, 1628, 328, 5430, 77, 35, 44, 2786, 324, 41556, 32, 1689, 26, 928, 77, 9378, 44, 997, 38848, 1157, 284, 2218, 41556, 461, 646, 41556, 6448, 35, 2786, 291, 41556, 32, 3235, 346, 284, 2218, 41556, 461, 646, 41556, 77, 34, 2786, 291, 41556, 32, 3235, 26, 34, 27, 284, 442, 3228, 96, 2473, 2524, 26, 45797, 27, 203, 589, 4550, 26, 1427, 30, 10525, 280, 225, 42, 711, 284, 442, 2706, 96, 2296, 2524, 14141, 313, 319, 10525, 474, 595, 436, 595, 328, 11760, 26, 1427, 547, 2998, 5528, 96, 657, 1130, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1459, 313, 33193, 28138, 284, 309, 280, 408, 274, 3018, 32, 1297, 346, 284, 309, 32, 5350, 32, 371, 440, 525, 555, 2763, 32, 508, 657, 284, 595, 280, 309, 32, 371, 81, 4458, 346, 284, 9899, 280, 2156, 26, 10843, 30, 313, 105, 657, 284, 9899, 32, 1821, 26, 17143, 27, 284, 9899, 32, 1821, 440, 313, 319, 225, 34, 474, 27203, 28183, 531, 403, 408, 274, 3018, 32, 1297, 657, 284, 9899, 32, 1821, 5528, 96, 78, 96, 657, 284, 9899, 32, 1821, 440, 313, 319, 225, 34, 474, 27203, 443, 403, 14215, 24678, 26, 1473, 711, 657, 284, 9899, 32, 1821, 5528, 96, 78, 96, 657, 284, 9899, 32, 1821, 440, 313, 319, 225, 38, 474, 27203, 667, 403, 622, 81, 4458, 26, 784, 30, 1984, 280, 1665, 48775, 96, 78, 96, 657, 284, 9899, 32, 1821, 26, 3972, 26, 101, 32, 371, 81, 4458, 3667, 1427, 28154, 284, 9899, 32, 1821, 5528, 96, 78, 96, 657, 284, 9899, 32, 1821, 440, 313, 319, 225, 38, 474, 27203, 667, 403, 4230, 26, 784, 48775, 96, 78, 96, 657, 284, 9899, 32, 1821, 26, 3972, 26, 101, 32, 2679, 3667, 1427, 28154, 284, 9899, 32, 1821, 5528, 96, 78, 96, 657, 284, 9899, 32, 1821, 440, 313, 319, 225, 34, 474, 27203, 443, 403, 4361, 2879, 26, 1473, 48775, 96, 78, 96, 657, 284, 9899, 32, 1821, 26, 3972, 26, 91, 3667, 1427, 28154, 284, 9899, 32, 1821, 5528, 96, 78, 96, 657, 284, 9899, 32, 1821, 440, 313, 319, 225, 38, 474, 27203, 667, 403, 11909, 81, 2543, 26, 784, 30, 804 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 5, 5, 0, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 4, 6, 6, 6, 6, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 3, 3, 3, 5, 2, 2, 4, 4, 8, 9, 9, 8, 7, 7, 6, 2, 2, 4, 4, 5, 6, 6, 2, 2, 3, 3, 3, 4, 6, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 10, 10, 13, 14, 13, 11, 11, 13, 14, 14, 13, 2, 2, 4, 4, 9, 8, 9, 8, 8, 7, 2, 2, 3, 4, 4, 5, 6, 6, 3, 3, 3, 5, 5, 5, 6, 8, 7, 6, 5, 5, 9, 10, 9, 13, 12, 14, 13, 12, 12, 11, 2, 2, 3, 4, 4, 5, 6, 8, 6, 3, 3, 7, 8, 7, 2, 2, 3, 4, 4, 5, 6, 7, 6, 3, 3, 7, 8, 7, 8, 7, 2, 2, 3, 8, 7, 6, 5, 6, 5, 0, 1, 1, 2, 3, 2, 2, 3, 3, 4, 2, 1, 1, 3, 8, 7, 6, 5, 10, 8, 8, 7, 7, 6, 7, 7, 7, 11, 12, 11, 10, 9, 12, 11, 6, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 5, 5, 2, 2, 4, 4, 7, 7, 6, 7, 6, 2, 2, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 6, 8, 8, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 6, 5, 9, 7, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 5, 8, 8, 8, 7, 2, 2, 5, 6, 5, 9, 7, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 5, 8, 8, 8, 7, 2, 2, 5, 6, 5, 9, 7, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 2, 2, 5, 6, 5, 7, 7, 10, 9, 10, 10, 10, 8, 9, 9, 2, 2, 5, 6, 5, 8, 8, 8, 7, 2, 2, 5, 6, 5, 9, 7, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 2, 2, 5, 6, 5, 7, 7, 10, 9, 10, 8, 9, 9, 2, 2, 5, 6, 5, 8, 8, 8, 7, 2, 2, 5, 6, 5, 9, 7, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 2, 2, 5, 6, 5, 7, 7, 9, 8, 9, 9, 2, 2, 5, 6, 5, 8, 8, 8, 7, 2, 2, 5, 6, 5, 9, 7, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 8, 8, 2, 1, 1, 2, 8, 8, 0, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 3, 3, 3, 3, 0, 2, 3, 3, 3, 0, 0, 0, 2, 2, 1, 5, 5, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 5, 1, 1, 2, 2, 2, 5, 5, 5, 0, 0, 0, 3, 0, 2, 3, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 4, 4, 6, 1, 1, 2, 1, 1, 1, 6, 6, 0, 2, 1, 4, 4, 7, 1, 1, 2, 1, 2, 1, 7, 7, 0, 2, 1, 1, 1, 4, 4, 8, 0, 2, 2, 1, 1, 1, 0, 9, 9, 2, 1, 2, 2, 3, 3, 2, 2, 9, 9, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 10, 10, 0, 0, 1, 1, 1, 1, 10, 10, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 1, 2, 3, 3, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 1, 2, 3, 3, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 3, 3, 0, 2, 1, 0, 1, 1, 2, 3, 3, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 3, 3, 0, 2, 1, 0, 1, 1, 2, 3, 3, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 0, 1, 2, 2, 3, 3, 0, 2, 1, 0, 1, 1, 2, 3, 3, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 273, 1188, 394, 203, 465, 2322, 203, 465, 5624, 203, 465, 16539, 203, 465, 7060, 203, 465, 1133, 203, 465, 5167, 30, 39362, 36, 30, 1260, 30, 965, 2208, 203, 823, 20955, 924, 26, 984, 711, 284, 3097, 203, 589, 2016, 26, 3515, 30, 5868, 47, 40, 34, 711, 284, 438, 81, 4783, 280, 5624, 32, 2946, 346, 610, 330, 12183, 25, 284, 298, 280, 16539, 32, 45606, 26, 3515, 30, 16154, 47, 27958, 32, 39790, 30, 12532, 47, 27958, 32, 18165, 30, 9073, 47, 1815, 30, 1406, 2493, 81, 3359, 47, 500, 32, 2021, 314, 415, 438, 81, 4783, 813, 1665, 27, 284, 415, 5868, 379, 34, 44, 291, 442, 298, 32, 9362, 32, 850, 346, 284, 273, 81, 41527, 280, 1133, 32, 1003, 346, 284, 6791, 81, 20058, 280, 225, 34, 284, 2218, 2933, 44, 291, 415, 298, 32, 11986, 346, 438, 646, 1665, 44, 324, 1626, 291, 6791, 81, 20058, 280, 1133, 32, 1003, 346, 429, 273, 81, 41527, 291, 415, 5868, 461, 6791, 81, 20058, 848, 5868, 44, 324, 415, 438, 81, 4783, 44, 400, 2322, 32, 14046, 2323, 26, 98, 32, 6320, 30, 7060, 32, 14840, 19794, 27, 324, 813, 44, 400, 298, 32, 25074, 346, 324, 3636, 20955, 924, 26, 3515, 30, 5868, 27, 291, 1133, 32, 7840, 26, 34, 32, 35, 27, 284, 442, 298, 32, 9362, 32, 850, 346, 203, 823, 447, 26, 70, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 394, 3667, 1664, 3207, 784, 27, 284, 665, 6144, 26, 784, 30, 1816, 26409, 1819, 26409, 639, 26409, 625, 26409, 2445, 426, 34444, 7255, 26409, 15267, 1338, 1057, 7831, 291, 1056, 280, 2149, 291, 1056, 710, 1267, 20950, 2700, 291, 793, 2501, 1057, 2958, 10699, 500, 32, 983, 32, 2998, 26, 500, 32, 983, 32, 35490, 4064, 761, 28154, 77, 34, 6155, 18010, 1423, 33, 92, 7955, 1069, 3101, 1889, 32, 978, 225, 429, 102, 10699, 639, 6897, 429, 98, 10699, 625, 291, 1596, 44, 324, 1459, 793, 2501, 324, 3124, 1267, 280, 2016, 26, 539, 2501, 30, 5868, 47, 38, 34, 27, 324, 1459, 3124, 1267, 324, 415, 330, 2019, 7504, 10768, 25, 328, 3124, 1267, 44, 400, 1056, 710, 1267, 20950, 1815, 400, 1056, 710, 10570, 1120, 785, 280, 2149, 400, 1056, 710, 10570, 1120, 4902, 681, 785, 1057, 5433, 8091, 24517, 15660, 261, 33132, 25, 400, 1056, 710, 10570, 1120, 4902, 2413, 785, 280, 639, 29, 950, 9118, 625, 400, 1056, 710, 10570, 1120, 4902, 6263, 785, 1057, 5433, 8091, 24517, 15660, 298, 542, 25, 400, 1056, 710, 10570, 1120, 4902, 1267, 785, 280, 2076, 1267, 324, 813, 44, 400, 3097, 291, 2940, 3268, 30, 87, 44, 324, 1459, 484, 32, 878, 291, 8295, 44, 324, 442, 1056, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1459, 447, 922, 6967, 26, 639, 1057, 35, 36, 34, 32, 36, 38, 32, 36, 38, 37, 32, 36, 35, 40, 370, 625, 1057, 42, 34, 34, 35, 683, 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, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 3, 3, 1, 3, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 3, 2, 2, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 7, 8, 7, 5, 5, 7, 7, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 9, 8, 9, 6, 6, 7, 9, 8, 9, 6, 6, 7, 8, 6, 6, 8, 8, 8, 7, 10, 9, 10, 10, 8, 8, 9, 9, 8, 8, 6, 2, 2, 3, 4, 5, 3, 3, 3, 5, 8, 9, 7, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 3, 3, 3, 5, 8, 9, 8, 6, 6, 6, 5, 5, 5, 4, 4, 7, 7, 6, 6, 9, 10, 9, 7, 7, 8, 8, 4, 4, 5, 6, 6, 8, 8, 7, 7, 5, 5, 5, 7, 8, 8, 7, 7, 7, 11, 12, 12, 11, 13, 12, 13, 11, 11, 12, 13, 13, 11, 7, 7, 8, 8, 8, 12, 13, 12, 6, 6, 7, 9, 9, 10, 9, 9, 9, 4, 4, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 6, 7, 5, 6, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 6, 5, 6, 5, 6, 5, 6, 5, 6, 6, 5, 6, 5, 6, 6, 5, 7, 3, 3, 6, 6, 4, 4, 7, 9, 9, 7, 4, 4, 7, 6, 13, 13, 16, 15, 16, 14, 15, 14, 18, 17, 18, 16, 17, 16, 17, 17, 12, 13, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 8, 10, 10, 10, 8, 4, 4, 5, 5, 5, 7, 8, 6, 6, 9, 8, 8, 10, 11, 11, 10, 10, 11, 12, 12, 10, 6, 6, 7, 8, 6, 6, 7, 10, 10, 10, 10, 8, 8, 9, 7, 7, 7, 11, 13, 13, 11, 8, 8, 11, 13, 13, 13, 10, 10, 8, 8, 12, 14, 14, 14, 13, 13, 10, 12, 12, 12, 12, 12, 12, 12, 8, 8, 12, 14, 14, 14, 13, 13, 10, 13, 12, 14, 14, 12, 8, 8, 12, 14, 14, 14, 13, 13, 10, 12, 12, 12, 12, 12, 12, 12, 8, 8, 12, 14, 14, 14, 13, 13, 10, 11, 11, 7, 7, 8, 8, 8, 5, 5, 6, 6, 7, 6, 6, 6, 8, 9, 10, 5, 5, 6, 6, 6, 8, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 7, 6, 5, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 8, 8, 2, 1, 2, 2, 3, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 5, 0, 2, 2, 1, 1, 7, 2, 1, 1, 0, 0, 0, 9, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 4, 4, 5, 5, 5, 5, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 0, 0, 4, 4, 4, 0, 2, 1, 3, 3, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 4, 4, 6, 0, 2, 0, 2, 1, 0, 9, 9, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 4, 4, 1, 2, 1, 2, 0, 3, 0, 5, 0, 7, 0, 9, 0, 0, 11, 0, 13, 0, 0, 15, 1, 1, 1, 0, 0, 4, 4, 0, 1, 2, 2, 4, 4, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 4, 4, 3, 3, 3, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 1, 1, 2, 1, 1, 2, 3, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 1, 2, 0, 0, 3, 3, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 2, 2, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 2, 3, 3, 4, 4, 4, 0, 0, 10, 10, 0, 0, 1, 1, 1, 1, 10, 10, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 6524, 696, 265, 32, 4882, 32, 5860, 1188, 308, 5860, 30, 4942, 81, 5522, 81, 1647, 30, 768, 4942, 81, 44833, 81, 1647, 30, 40688, 81, 823, 27, 203, 465, 6524, 696, 265, 32, 4882, 32, 2560, 81, 1113, 2501, 81, 7439, 619, 894, 81, 2560, 203, 589, 4705, 81, 1647, 2262, 284, 4942, 81, 5522, 81, 1647, 346, 203, 589, 40688, 81, 1647, 2262, 284, 4942, 81, 44833, 81, 1647, 346, 203, 823, 2108, 3410, 2976, 26, 1473, 711, 284, 665, 40688, 26, 784, 711, 291, 1459, 5528, 96, 2102, 432, 3312, 328, 44, 904, 101, 78, 96, 42746, 78, 96, 20, 904, 1156, 426, 8223, 291, 40688, 81, 823, 346, 284, 665, 4705, 26, 784, 711, 291, 1459, 5528, 96, 42746, 78, 96, 4470, 328, 44, 904, 101, 78, 96, 20, 904, 1156, 426, 8223, 284, 665, 894, 81, 17881, 35, 26, 784, 711, 291, 1459, 26, 784, 32, 858, 81, 17881, 35, 3667, 1427, 8223, 291, 8272, 280, 428, 324, 2107, 605, 33, 29051, 32, 4700, 370, 330, 17881, 81, 4025, 81, 35, 34, 18038, 291, 436, 2280, 328, 8272, 44, 324, 1459, 5528, 96, 10855, 623, 3491, 96, 392, 2280, 27, 324, 894, 81, 2560, 32, 91, 81, 2157, 81, 1382, 81, 2171, 81, 1028, 81, 5379, 26, 784, 27, 324, 894, 81, 2560, 32, 91, 81, 1297, 81, 1855, 81, 1070, 81, 761, 26, 784, 30, 706, 47, 2763, 77, 34, 614, 1688, 81, 1515, 47, 2763, 77, 35, 1130, 324, 894, 81, 2560, 32, 91, 81, 1553, 81, 8968, 81, 2171, 81, 1028, 81, 5379, 26, 784, 27, 324, 894, 81, 2560, 32, 91, 81, 2560, 81, 5379, 81, 1070, 81, 1515, 26, 784, 27, 324, 894, 81, 2560, 32, 91, 81, 1553, 81, 2228, 81, 2171, 81, 1028, 81, 5379, 26, 784, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 11, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 11, 11, 10, 8, 8, 9, 9, 4, 4, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 11, 10, 11, 11, 10, 10, 10, 10, 10, 11, 11, 10, 8, 8, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 10, 9, 10, 10, 10, 10, 8, 9, 9, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 5, 5, 5, 5, 9, 12, 11, 11, 11, 12, 11, 9, 9, 6, 6, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 6, 6, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 12, 11, 12, 11, 9, 11, 11, 10, 12, 11, 12, 11, 6, 6, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 6, 6, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 6, 6, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 4, 4, 4, 4, 4, 4, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 3, 3, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 4, 4, 0, 0, 1, 4, 4, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 0, 2, 2, 2, 1, 0, 0, 5, 0, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2164, 81, 1439, 1188, 319, 203, 1070, 11420, 1188, 319, 203, 465, 16539, 203, 465, 2322, 203, 823, 6833, 3033, 12090, 26, 2861, 1761, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 6926, 30, 14865, 5937, 81, 6175, 30, 31543, 81, 4531, 30, 12497, 30, 2674, 30, 5799, 81, 7895, 30, 9541, 30, 4082, 711, 357, 202, 784, 32, 983, 81, 452, 81, 8022, 280, 323, 20, 53, 16406, 2839, 1736, 1598, 37, 36, 1736, 1206, 929, 339, 32, 8022, 20, 357, 202, 784, 32, 2501, 81, 928, 280, 323, 20, 1206, 929, 339, 32, 8022, 20, 357, 202, 784, 32, 4073, 280, 4082, 357, 202, 784, 32, 8788, 26, 1917, 30, 630, 3667, 823, 29215, 426, 7642, 14865, 5937, 81, 6175, 30, 31543, 81, 4531, 30, 12497, 30, 2674, 30, 5799, 81, 7895, 30, 9541, 27, 203, 202, 589, 544, 81, 21374, 81, 32947, 26, 784, 30, 10073, 711, 357, 202, 784, 32, 3711, 280, 10073, 357, 202, 784, 32, 2516, 280, 597, 583, 274, 81, 2516, 26, 3711, 27, 357, 202, 3711, 32, 1103, 2922, 26, 2922, 81, 24409, 27, 357, 202, 3711, 32, 1103, 2922, 26, 2922, 81, 3033, 12090, 2422, 27, 357, 202, 3711, 32, 3297, 2861, 10655, 346, 357, 202, 1270, 44, 355, 202, 27958, 32, 45606, 4901, 2837, 283, 37, 32, 8022, 370, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 27203, 392, 313, 2837, 283, 392, 313, 1206, 929, 339, 81, 1216, 32, 4452, 37, 2113, 596, 26, 784, 32, 6320, 471, 9120, 29935, 3439, 9073, 47, 1815, 27, 357, 202, 7343, 44, 355, 202, 1216, 313, 5711, 44, 2267, 283, 37, 32, 8022, 646, 2431, 544, 1519, 32, 5294, 2443, 561, 461, 1015, 561, 372, 1519, 372, 12075, 322, 11129, 11213, 3107, 357, 202, 325, 630, 32, 1366, 81, 349, 2377, 225, 34, 44, 355, 202, 12094, 611, 32, 6474, 37, 36, 32, 14985, 3021, 26, 784, 32, 1366, 81, 349, 293, 203, 202, 589, 1245, 81, 4700, 26, 784, 30, 3829, 711, 357, 202, 784, 32, 4073, 32, 751, 81, 1567, 26, 4151, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 4, 4, 8, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 7, 8, 7, 7, 9, 10, 10, 9, 9, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 8, 8, 8, 8, 8, 9, 8, 4, 4, 8, 7, 8, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 8, 8, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 4, 4, 5, 5, 5, 5, 10, 9, 10, 9, 12, 12, 12, 12, 12, 12, 10, 13, 14, 12, 13, 12, 16, 15, 16, 14, 15, 14, 15, 15, 12, 14, 12, 14, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 12, 14, 13, 14, 12, 10, 12, 12, 9, 10, 11, 9, 5, 5, 6, 6, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 7, 8, 8, 8, 6, 6, 7, 5, 5, 5, 11, 11, 10, 11, 11, 11, 9, 10, 10, 9, 11, 10, 11, 11, 11, 9, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 8, 9, 7, 8, 8, 8, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 2, 2, 7, 7, 2, 2, 2, 2, 2, 2, 13, 13, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 5, 5, 5, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 13, 13, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 5, 5, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 3, 2, 1, 5, 5, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 6, 0, 2, 2, 2, 1, 1, 2, 6, 6, 6, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 203, 6873, 544, 22738, 225, 43, 30, 225, 36, 34, 35, 37, 203, 50, 2116, 44, 12198, 502, 266, 203, 9592, 203, 465, 5237, 203, 1070, 20894, 32, 6319, 1188, 38092, 203, 1070, 20338, 5891, 11936, 1188, 20338, 5891, 11936, 203, 1070, 20338, 5891, 6754, 1188, 20338, 5891, 6754, 203, 1070, 20338, 5891, 9030, 1188, 20338, 5891, 9030, 203, 823, 17384, 6657, 26, 1473, 711, 284, 5881, 284, 443, 2180, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 3523, 711, 291, 630, 32, 2848, 280, 3523, 284, 665, 544, 11936, 26, 784, 30, 319, 1132, 711, 291, 20338, 5891, 11936, 26, 784, 32, 2848, 27, 284, 665, 544, 6754, 26, 784, 30, 319, 1132, 711, 291, 20338, 5891, 6754, 26, 784, 32, 2848, 27, 284, 665, 44389, 1669, 26, 784, 30, 319, 1132, 711, 291, 630, 32, 267, 28751, 2740, 1132, 27, 284, 665, 544, 9030, 26, 784, 30, 319, 1132, 711, 291, 20338, 5891, 9030, 26, 784, 32, 2848, 27, 284, 665, 544, 28751, 26, 784, 30, 319, 1132, 711, 291, 38092, 32, 1831, 81, 16997, 346, 284, 665, 544, 4766, 5891, 2352, 33873, 26, 784, 30, 319, 1132, 711, 291, 4345, 1071, 280, 2181, 77, 34, 79, 291, 4345, 1731, 280, 2181, 77, 35, 79, 291, 9643, 929, 550, 280, 2181, 77, 36, 79, 291, 1542, 280, 4345, 1071, 32, 371, 81, 1160, 346, 291, 706, 280, 630, 32, 2848, 32, 2788, 26, 1160, 77, 3242, 1731, 1674, 35, 1130, 291, 630, 32, 2848, 32, 371, 81, 4915, 26, 3242, 1071, 30, 9643, 929, 550, 30, 706, 27, 291, 630, 32, 2848, 32, 2751, 81, 2087, 4537, 81, 605, 26, 605, 27, 284, 665, 544, 4766, 5891, 2352, 23807, 26, 784, 30, 319, 1132, 711, 291, 4345, 1071, 280, 2181, 77, 34, 79, 291, 4345, 1731, 280, 2181, 77, 35, 79, 291, 9643, 929, 550, 280, 2181, 77, 36, 79, 291, 2698, 426, 280, 630, 1114, 40259, 917, 81, 2003, 16670, 26, 784, 32, 2848, 32, 2087, 95, 449, 650, 32, 371, 81, 853, 26, 3242, 1731, 30, 225, 35, 490, 291, 706, 280, 630, 32, 2848, 32, 2788, 26, 643, 426, 27, 291, 4345, 1731, 280, 630, 32, 2848, 32, 2087, 95, 449, 650, 32, 371, 81, 1731, 26, 5309, 929, 550, 27, 291, 1542, 280, 4345, 1071, 32, 371, 81, 1160, 346, 291, 5202, 280, 2698, 426, 291, 415, 1542, 32, 1731, 81, 2040, 81, 2661, 26, 3242, 1731, 711, 324, 1929, 81, 4915, 280, 1542, 32, 1731, 81, 96, 81, 4915, 26, 3242, 1731, 27, 324, 436, 595, 328, 2155, 26, 1516, 81, 4915, 711, 400, 415, 646, 706, 44, 528, 1626, 400, 2838, 280, 706, 710, 4915, 8150, 91, 79, 400, 2838, 983, 280, 630, 1114, 40259, 917, 81, 2003, 16670, 15339, 101, 9708, 101, 25, 904, 308, 4254, 30, 2838, 490, 400, 663, 335, 583, 401, 280, 630, 32, 2848, 32, 2788, 26, 2661, 983, 27, 400, 2838, 1731, 280, 1542, 32, 1731, 81, 15991, 81, 2661, 26, 3242, 1731, 30, 595, 27, 400, 630, 32, 2848, 32, 371, 81, 4915, 26, 3242 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 6, 6, 7, 8, 7, 4, 4, 7, 6, 6, 7, 8, 7, 4, 4, 7, 7, 6, 6, 7, 8, 7, 4, 4, 6, 6, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 11, 10, 11, 11, 10, 10, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 6, 6, 7, 8, 7, 4, 4, 7, 6, 6, 7, 8, 7, 4, 4, 7, 7, 6, 6, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 13, 12, 13, 11, 12, 12, 12, 12, 10, 11, 11, 11, 10, 11, 11, 10, 10, 11, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 9, 8, 4, 4, 7, 6, 6, 10, 11, 9, 10, 10, 10, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 7, 4, 4, 5, 7, 8, 8, 8, 8, 8, 7, 8, 8, 7, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 11, 10, 6, 6, 7, 7, 7, 9, 10, 10, 10, 9, 7, 7, 9, 10, 9, 9, 9, 8, 8, 10, 10, 12, 14, 14, 12, 11, 8, 8, 11, 10, 10, 12, 13, 13, 13, 13, 13, 12, 15, 15, 15, 15, 13, 13, 15, 14, 14, 14, 8, 8, 11, 11, 11, 10, 10, 13, 14, 12, 13, 12, 13, 13, 12, 8, 8, 11, 10, 10, 12, 13, 13, 13, 13, 13, 12, 13, 13, 12, 12, 12, 8, 8, 12, 13, 11, 12, 12, 12, 11, 12 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 2, 6, 6, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 1, 4, 4, 4, 1, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 5, 1, 2, 1, 2, 2, 1, 2, 5, 5, 0, 0, 1, 0, 1, 2, 1, 4, 4, 6, 1, 2, 1, 2, 2, 1, 2, 6, 6, 0, 2, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 7, 7, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 8, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 8, 8, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 4, 4, 8, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 8, 8, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 5, 5, 0, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 0, 2, 2, 2, 1, 1 ]
[ 1070, 3973, 1188, 25951, 203, 1070, 6436, 1188, 1847, 30, 1769, 30, 5651, 30, 26684, 30, 1230, 203, 823, 15591, 26, 13487, 711, 284, 636, 280, 313, 8104, 20, 284, 665, 6688, 26, 784, 30, 1542, 711, 291, 630, 32, 1160, 280, 1542, 291, 3829, 280, 630, 32, 1160, 32, 20821, 750, 922, 371, 5871, 463, 4151, 683, 291, 706, 280, 630, 32, 1160, 32, 20821, 750, 346, 31445, 291, 7461, 280, 1149, 26, 887, 26, 605, 30, 6013, 47, 34, 490, 291, 3857, 280, 1149, 26, 1449, 26, 605, 30, 6013, 47, 34, 490, 291, 11768, 280, 1149, 26, 6009, 26, 605, 30, 6013, 47, 34, 490, 291, 11285, 280, 1149, 26, 24005, 26, 605, 490, 291, 6915, 280, 1149, 26, 1530, 26, 605, 30, 6013, 47, 34, 490, 291, 630, 32, 1160, 32, 1812, 1564, 463, 8104, 14564, 683, 291, 630, 32, 1160, 32, 28144, 39, 32, 1297, 1261, 26, 784, 32, 1160, 32, 1700, 81, 1363, 30, 330, 887, 370, 7461, 27, 291, 630, 32, 1160, 32, 28144, 39, 32, 1297, 1261, 26, 784, 32, 1160, 32, 1700, 81, 1363, 30, 330, 1449, 370, 3857, 27, 291, 630, 32, 1160, 32, 28144, 39, 32, 1297, 1261, 26, 784, 32, 1160, 32, 1700, 81, 1363, 30, 330, 6009, 370, 11768, 27, 291, 630, 32, 1160, 32, 28144, 39, 32, 1297, 1261, 26, 784, 32, 1160, 32, 1700, 81, 1363, 30, 330, 24005, 370, 11285, 27, 291, 630, 32, 1160, 32, 28144, 39, 32, 1297, 1261, 26, 784, 32, 1160, 32, 1700, 81, 1363, 30, 330, 270, 1902, 370, 6915, 27, 291, 630, 32, 1160, 32, 1877, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 6, 6, 11, 12, 10, 11, 11, 10, 9, 9, 8, 10, 10, 4, 4, 6, 6, 10, 11, 9, 10, 10, 9, 7, 4, 4, 6, 6, 8, 10, 10, 11, 10, 10, 11, 12, 10, 4, 4, 6, 6, 8, 10, 10, 11, 10, 10, 11, 12, 10, 4, 4, 6, 6, 8, 10, 10, 11, 10, 10, 11, 12, 10, 4, 4, 6, 6, 8, 10, 10, 11, 10, 4, 4, 6, 6, 8, 10, 10, 11, 10, 10, 11, 12, 10, 4, 4, 8, 9, 7, 8, 8, 7, 9, 9, 9, 4, 4, 9, 10, 8, 9, 9, 7, 8, 8, 7, 10, 9, 10, 8, 9, 9, 9, 7, 7, 9, 9, 7, 7, 4, 4, 9, 10, 8, 9, 9, 7, 8, 8, 7, 10, 9, 10, 8, 9, 9, 9, 7, 7, 9, 9, 7, 7, 4, 4, 9, 10, 8, 9, 9, 7, 8, 8, 7, 10, 9, 10, 8, 9, 9, 9, 7, 7, 9, 9, 7, 7, 4, 4, 9, 10, 8, 9, 9, 7, 8, 8, 7, 10, 9, 10, 8, 9, 9, 9, 7, 7, 9, 9, 7, 7, 4, 4, 9, 10, 8, 9, 9, 7, 8, 8, 7, 10, 9, 10, 8, 9, 9, 9, 7, 7, 9, 9, 9, 7, 7, 4, 4, 8, 9, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 30, 715, 15390, 81, 30839, 27, 203, 465, 13625, 203, 465, 7744, 203, 465, 1751, 359, 820, 619, 18313, 203, 505, 464, 505, 280, 2107, 1335, 6970, 26502, 2920, 785, 203, 823, 2662, 6970, 26502, 2920, 26, 8045, 32, 1043, 2136, 17412, 1761, 711, 284, 5881, 2272, 30795, 38057, 38569, 3217, 436, 312, 2702, 1133, 1744, 461, 284, 18726, 284, 21756, 44, 397, 429, 4102, 1003, 1744, 572, 308, 1536, 44, 4102, 2521, 572, 27, 291, 1670, 4102, 2521, 572, 322, 4102, 1003, 1744, 572, 432, 322, 225, 35, 270, 706, 328, 322, 2664, 1098, 526, 291, 1654, 291, 14131, 4102, 1043, 2136, 32, 2023, 1043, 2136, 572, 372, 6295, 322, 9449, 5890, 623, 1289, 291, 1133, 13383, 397, 429, 4102, 22078, 572, 308, 1536, 44, 4102, 2521, 572, 27, 291, 9287, 1654, 436, 1361, 31, 3368, 1133, 9433, 372, 436, 2280, 1389, 544, 600, 38411, 291, 1133, 1744, 810, 17237, 313, 1043, 2136, 32, 16338, 20, 461, 225, 40, 34, 619, 18726, 291, 1670, 4102, 2521, 572, 1615, 322, 18726, 432, 322, 225, 35, 270, 706, 432, 322, 2664, 1098, 526, 291, 1654, 397, 429, 4102, 605, 572, 308, 1536, 44, 4102, 2521, 572, 27, 291, 9494, 7057, 372, 4562, 4174, 432, 322, 31397, 786, 32, 291, 4377, 5997, 403, 458, 706, 2298, 1159, 2583, 3640, 372, 312, 4102, 85, 747, 9213, 572, 1980, 623, 1750, 4102, 339, 605, 18769, 4102, 38346, 605, 572, 556, 4102, 27953, 605, 572, 397, 429, 4102, 2232, 1676, 572, 308, 1536, 44, 4102, 1815, 572, 27, 291, 5076, 15555, 322, 3217, 432, 312, 4102, 605, 572, 322, 2412, 438, 3390, 1412, 291, 8184, 299, 312, 1133, 1744, 14563, 30, 436, 2280, 4102, 33221, 35786, 616, 429, 11313, 4102, 2679, 572, 432, 4552, 4947, 438, 1654, 619, 322, 4121, 7661, 372, 324, 2318, 322, 442, 328, 322, 1550, 4947, 291, 886, 3708, 438, 322, 225, 35, 270, 17686, 30, 3301, 322, 706, 1401, 326, 1289, 291, 4552, 326, 13734, 7661, 32, 2894, 3751, 461, 1412, 458, 3395, 438, 4102, 1815, 572, 291, 322, 319, 31864, 28, 7661, 1098, 526, 1654, 436, 322, 225, 35, 270, 17686, 32, 291, 1348, 7171, 322, 706, 6985, 372, 1159, 600, 4102, 1676, 572, 7661, 308, 979, 4102, 2679, 572, 291, 322, 6216, 428, 34, 79, 27627, 1098, 526, 1654, 2876, 4121, 372, 312, 1600, 291, 7661, 27, 291, 24179, 322, 2815, 4230, 1098, 526, 1654, 32, 397, 429, 4102, 15072, 572, 308, 1536, 44, 4102, 2521, 572, 27, 291, 1670, 4102, 2521, 572, 322, 4648, 2926, 432, 322, 19858, 308, 15072, 2816, 429, 2933, 33, 2700, 27, 1098, 291, 526, 7120, 402, 1920, 372, 19737, 415, 322, 3217, 884, 4122, 544, 322, 3380, 3706, 291, 7057, 786, 556, 544, 322, 15127, 786, 32, 2802, 4102, 470, 81, 15072, 2816, 572, 328, 322, 19858, 291, 4333, 291, 1756, 561, 372, 4102, 1815, 572, 556, 4102, 2700, 572, 436, 312, 2818, 5853, 284, 14922, 44, 397, 429, 622, 81, 11382, 291, 3759, 312, 9473, 623, 3217, 619 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 35094, 1188, 33845, 203, 1070, 8668, 1147, 1188, 3692, 203, 1070, 8668, 1147, 1188, 1619, 203, 1070, 8668, 1147, 81, 4867, 32, 22324, 32, 1163, 32, 5843, 1188, 26661, 1438, 81, 37321, 203, 589, 3879, 26, 426, 711, 284, 665, 26627, 26, 1126, 711, 291, 477, 4071, 101, 26, 1126, 27, 291, 665, 7767, 26, 3209, 1147, 81, 4867, 711, 324, 415, 617, 1877, 81, 4867, 81, 2433, 26, 426, 30, 8479, 5576, 47, 3209, 1147, 81, 4867, 30, 8479, 1158, 81, 2962, 47, 3209, 1147, 81, 4867, 711, 400, 442, 324, 415, 3692, 32, 681, 610, 1619, 32, 9179, 81, 12452, 44, 400, 6091, 81, 4642, 280, 3692, 32, 2386, 32, 4689, 81, 4642, 32, 371, 26, 528, 330, 3209, 1147, 81, 4867, 370, 12797, 400, 415, 617, 1877, 81, 4867, 81, 2433, 26, 426, 30, 10631, 5576, 47, 4689, 81, 4642, 30, 10631, 1158, 81, 2962, 47, 3209, 1147, 81, 4867, 711, 528, 442, 400, 1541, 81, 4642, 280, 3692, 32, 1251, 32, 4642, 32, 371, 26, 528, 330, 3209, 1147, 81, 4867, 370, 12797, 400, 1541, 81, 4642, 32, 1877, 26, 2095, 32, 1251, 32, 4642, 32, 371, 26, 528, 330, 4867, 81, 1163, 370, 2149, 490, 400, 415, 617, 1877, 81, 4867, 81, 2433, 26, 426, 30, 10631, 5576, 47, 1251, 81, 4642, 30, 10631, 1158, 81, 2962, 47, 3209, 1147, 81, 4867, 711, 528, 442, 324, 5601, 280, 26661, 1438, 81, 37321, 32, 371, 26, 426, 27, 324, 415, 5601, 438, 1665, 44, 400, 3636, 26405, 28302, 34, 111, 438, 646, 600, 7669, 3879, 25, 9111, 638, 1643, 26, 426, 490, 324, 7669, 81, 1819, 280, 3692, 32, 5172, 81, 1819, 32, 3209, 1147, 81, 4867, 5327, 400, 617, 3209, 1147, 81, 4867, 556, 2149, 324, 1619, 81, 4890, 280, 5601, 32, 371, 463, 1819, 81, 4890, 370, 636, 27, 324, 415, 617, 1877, 81, 4867, 81, 2433, 26, 1819, 81, 4890, 30, 8479, 5576, 47, 4867, 81, 1819, 30, 8479, 1158, 81, 2962, 47, 3209, 1147, 81, 4867, 30, 8479, 1158, 81, 678, 47, 426, 711, 400, 442, 324, 415, 617, 1877, 81, 4867, 81, 2433, 26, 426, 30, 8479, 5576, 47, 4867, 81, 1819, 30, 8479, 1158, 81, 2962, 47, 3209, 1147, 81, 4867, 711, 400, 442, 324, 3692, 32, 4073, 32, 2811, 463, 9903, 299, 667, 8029, 34, 111, 544, 9957, 330, 6035, 4145, 109, 35, 4872, 2473, 1643, 26, 1126, 3667, 426, 7642, 636, 490, 324, 786, 280, 667, 26, 3209, 1147, 81, 4867, 27, 324, 415, 786, 438, 646, 1665, 44, 400, 3692, 32, 4073, 32, 2811, 28302, 34, 111, 739, 810, 667, 8029, 35, 8129, 768, 638, 1643, 26, 426, 30, 786, 490, 400, 8668, 1147, 81, 4867, 77, 426, 79, 280, 786, 400, 442, 324, 1244, 280, 5601, 32, 371, 463, 1536, 683, 324, 415, 1244, 438, 646, 1665, 44, 400, 3692, 32, 4073, 32, 2811, 28302, 34, 111, 739, 810, 1244, 786, 25, 768, 638, 1643, 26, 426, 30, 786, 490, 400, 8668, 1147, 81, 4867, 77, 426, 79, 280, 1244, 400, 442, 291, 442, 7767, 284, 442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 8, 8, 9, 8, 5, 5, 6, 7, 8, 8, 8, 8, 7, 6, 6, 8, 10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 11, 12, 12, 12, 12, 10, 10, 10, 12, 12, 11, 12, 12, 12, 12, 10, 8, 8, 7, 7, 8, 10, 11, 9, 9, 10, 11, 11, 11, 8, 8, 8, 12, 12, 11, 11, 15, 16, 14, 15, 15, 15, 13, 14, 13, 13, 13, 15, 15, 15, 15, 15, 13, 9, 9, 10, 12, 12, 12, 12, 12, 12, 13, 12, 12, 12, 13, 14, 14, 14, 12, 12, 12, 14, 14, 13, 14, 14, 14, 14, 12, 10, 10, 9, 9, 12, 12, 11, 11, 15, 16, 14, 15, 13, 14, 13, 13, 13, 15, 15, 15, 15, 15, 13, 9, 9, 13, 13, 12, 13, 12, 17, 16, 17, 15, 16, 14, 15, 14, 14, 14, 16, 16, 16, 16, 14, 14, 9, 9, 10, 12, 12, 12, 12, 12, 12, 13, 12, 12, 12, 13, 14, 14, 14, 12, 12, 12, 14, 14, 13, 14, 14, 14, 14, 12, 10, 10, 7, 7, 9, 9, 12, 12, 12, 11, 12, 11, 12, 11, 7, 7, 8, 9, 9, 8, 8, 8, 10, 12, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 15, 14, 15, 14, 7, 7, 10, 10, 9, 9, 13, 14, 14, 14, 12, 13, 13, 13, 13, 11, 12, 11, 12, 12, 12, 12, 10, 10, 7, 7, 10, 10, 9, 9, 11, 12, 11, 13, 13, 13, 13, 11, 11, 7, 7, 8, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 11, 12, 12, 12, 10, 10, 10, 12, 12, 11, 12, 12, 12, 12, 10, 10, 10, 12, 12, 11, 12, 10, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 11, 12, 12, 12, 10, 10, 10, 12, 12, 11, 12, 12, 12, 12, 10, 8, 8, 7, 7, 11, 12, 10, 11, 10, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 13, 12, 14, 13, 14, 14, 12, 12, 7, 7, 9, 9, 11, 12, 12, 12, 12, 11, 7, 7, 8, 9, 9, 9, 8, 8, 8, 13, 14, 12, 13, 12, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 15, 14, 15, 14, 14, 14, 9, 9, 13, 13, 13, 12, 13, 12, 11, 11, 9, 9, 7, 7, 9, 9, 11, 12, 11, 13, 13, 7, 7, 8, 9, 9, 9, 8, 8, 8, 13, 14, 12, 13, 12, 16, 16, 16, 16, 16, 16, 16, 14, 14, 15, 14, 15, 14, 14, 14, 9, 9, 13, 13, 13, 12, 13, 12, 11, 11, 9, 9, 4, 4, 5, 2, 2 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 0, 4, 4, 2, 1, 2, 4, 4, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 2, 1, 0, 0, 4, 4, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 6, 6, 4, 4, 7, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 2, 1, 7, 7, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 10, 1, 1, 1, 10, 10, 10, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 0, 0, 0, 3, 3, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 12, 1, 1, 1, 12, 12, 12, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 0, 0, 0, 3, 3, 4, 4, 1, 4, 4 ]
[ 465, 6436, 619, 2065, 203, 1070, 3058, 978, 1188, 1123, 30, 47007, 97, 203, 1070, 3058, 978, 32, 1040, 32, 24472, 1188, 8778, 30, 28158, 30, 8720, 203, 9309, 280, 1524, 203, 10586, 2491, 38, 261, 1044, 81, 1160, 45, 263, 434, 3678, 5045, 203, 10586, 2491, 38, 261, 1044, 81, 1071, 45, 2033, 434, 4328, 5045, 203, 10586, 2491, 38, 261, 1044, 81, 9886, 45, 264, 434, 36570, 5045, 203, 10586, 4712, 38, 261, 1044, 81, 1489, 45, 263, 434, 5941, 1963, 436, 6731, 34746, 203, 4890, 4712, 37, 312, 81, 2705, 45, 203, 4890, 4712, 38, 312, 81, 1489, 45, 203, 45150, 4712, 38, 261, 354, 81, 1489, 45, 203, 1117, 2575, 346, 203, 109, 284, 3962, 81, 2731, 280, 1044, 81, 9886, 319, 1044, 81, 1071, 319, 1044, 81, 1160, 319, 4712, 38, 26, 83, 81, 2705, 30, 225, 35, 32, 34, 293, 284, 354, 81, 1489, 280, 312, 81, 1489, 319, 1044, 81, 1489, 45, 203, 111, 203, 2993, 203, 9854, 280, 1524, 203, 45150, 4712, 38, 354, 81, 1489, 45, 203, 1117, 2575, 346, 203, 109, 284, 3962, 81, 21021, 1514, 280, 354, 81, 1489, 45, 203, 111, 203, 2993, 203, 823, 21450, 26, 725, 32, 8511, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 1123, 32, 8511, 3667, 1664, 3207, 784, 30, 1014, 1334, 4310, 39, 35, 36, 30, 225, 39, 35, 36, 471, 1014, 1780, 1057, 21250, 26866, 370, 1014, 5036, 1057, 17107, 683, 291, 273, 364, 280, 47007, 97, 32, 5747, 26, 1627, 47, 9309, 30, 17854, 47, 9854, 27, 291, 676, 280, 2065, 32, 955, 43270, 34, 30, 225, 34, 30, 225, 34, 471, 2855, 308, 35, 30, 225, 34, 30, 225, 34, 471, 2855, 308, 35, 32, 34, 33, 36, 32, 34, 30, 2065, 32, 8663, 26, 37, 32, 34, 4165, 36, 32, 34, 30, 225, 34, 471, 2855, 308, 35, 32, 34, 33, 36, 32, 34, 30, 2065, 32, 8663, 26, 37, 32, 34, 4165, 40, 32, 34, 30, 2065, 32, 8663, 26, 36, 32, 34, 33, 37, 32, 34, 490, 614, 3486, 9710, 47, 2356, 32, 1808, 37, 36, 27, 291, 439, 280, 2065, 32, 955, 43270, 34, 30, 225, 35, 30, 225, 36, 471, 2855, 308, 34, 30, 225, 37, 30, 225, 35, 471, 2855, 308, 34, 30, 225, 36, 30, 225, 37, 471, 2855, 308, 35, 30, 225, 37, 30, 225, 36, 14155, 9710, 47, 2356, 32, 1774, 37, 36, 27, 291, 516, 280, 2065, 32, 955, 43270, 34, 30, 225, 35, 471, 308, 35, 30, 225, 36, 471, 308, 36, 30, 225, 34, 471, 308, 35, 30, 225, 37, 471, 308, 36, 30, 225, 37, 471, 308, 34, 30, 225, 37, 14155, 3486, 9710, 47, 2356, 32, 1774, 37, 36, 27, 291, 390, 280, 2065, 32, 955, 43270, 35, 30, 225, 34, 30, 225, 34, 30, 225, 35, 471, 2855, 308, 34, 30, 225, 35, 30, 225, 34, 30, 225, 35, 471, 2855, 308, 34, 30, 225, 34, 30, 225, 35, 30, 225, 35, 471, 2855, 308, 35, 30, 225, 35, 30, 225, 34, 30, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 7, 8, 10, 10, 10, 9, 9, 10, 10, 10, 9, 7, 7, 8, 10, 10, 10, 7, 7, 8, 10, 10, 4, 4, 7, 6, 6, 9, 8, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 12, 12, 12, 11, 12, 12, 12, 10, 10, 13, 14, 13, 14, 14, 14, 13, 12, 12, 12, 10, 10, 11, 10, 9, 9, 12, 12, 12, 11, 12, 12, 12, 10, 10, 13, 14, 13, 14, 14, 14, 13, 12, 12, 12, 10, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 9, 8, 8, 9, 11, 10, 11, 11, 11, 8, 4, 4, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 8, 9, 11, 10, 11, 11, 11, 8, 4, 4, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 8, 8, 9, 11, 10, 11, 11, 11, 8, 4, 4, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 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, 5, 5, 2, 0, 1, 2, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 1, 1, 2, 1, 1, 7, 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, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 1, 1, 0, 0, 0, 1, 2, 2, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 5, 5, 1, 1, 0, 0, 0, 1, 2, 2, 2, 7, 7, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 7, 7, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 1, 1, 1, 7, 7, 3, 7, 7, 5, 7, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 1, 1, 7, 7, 3, 7, 1, 1, 9, 9, 3, 9, 1, 1, 11, 11, 3, 11, 1, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 1, 1, 1, 7, 7, 3, 7, 7, 5, 7, 7 ]
[ 9592, 22097, 1340, 372, 5008, 372, 322, 677, 1761, 9161, 32, 2030, 5251, 322, 15818, 1439, 203, 1320, 30, 1510, 12428, 544, 322, 22211, 2719, 688, 308, 979, 2464, 27, 438, 203, 2050, 432, 677, 1761, 48256, 203, 1070, 3226, 654, 1188, 47410, 203, 38618, 32, 2675, 81, 464, 346, 203, 465, 1671, 203, 465, 15818, 1439, 203, 465, 677, 1439, 81, 14660, 203, 1070, 638, 1188, 3772, 1486, 203, 589, 2623, 81, 426, 26, 5823, 711, 284, 5881, 6720, 600, 4991, 372, 312, 2623, 636, 48256, 284, 442, 330, 88, 23, 34, 36, 86, 44, 85, 25, 904, 4991, 203, 823, 5675, 26, 1761, 1486, 711, 284, 5881, 22097, 677, 1761, 9161, 2043, 9592, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 1929, 81, 8587, 30, 1929, 81, 5960, 30, 319, 1132, 30, 1115, 5321, 711, 291, 3772, 1486, 3667, 1664, 3207, 784, 30, 636, 30, 1929, 81, 8587, 30, 1929, 81, 5960, 27, 291, 28400, 280, 10306, 32, 3235, 463, 18925, 370, 1665, 27, 291, 415, 28400, 438, 1665, 44, 324, 3636, 10091, 291, 630, 32, 3841, 280, 15818, 1439, 32, 2798, 14605, 5321, 27, 291, 15863, 47786, 280, 301, 2592, 81, 426, 26, 91, 711, 5436, 26, 1003, 81, 452, 81, 9732, 47, 18925, 27, 528, 436, 595, 328, 2155, 26, 784, 32, 1516, 81, 11278, 4370, 291, 1596, 44, 324, 630, 32, 3841, 32, 1297, 81, 1274, 26, 426, 30, 15863, 47786, 27, 291, 2940, 677, 1439, 81, 14660, 32, 37997, 44, 324, 3097, 291, 630, 32, 1274, 280, 630, 32, 3841, 32, 1274, 26, 426, 27, 284, 665, 3066, 26, 784, 711, 291, 5881, 3410, 458, 3500, 432, 3760, 31772, 9592, 291, 415, 630, 32, 1274, 438, 646, 1665, 44, 324, 630, 32, 3841, 32, 2560, 81, 1274, 26, 784, 32, 426, 30, 7378, 47, 1815, 27, 324, 630, 32, 1274, 280, 1665, 284, 665, 5551, 26, 784, 30, 3677, 81, 271, 81, 31772, 711, 291, 5881, 6738, 1591, 308, 271, 5075, 27, 27730, 1991, 322, 3500, 9592, 291, 415, 630, 32, 1274, 438, 1665, 44, 324, 442, 291, 27730, 280, 3677, 81, 271, 81, 31772, 291, 415, 646, 19326, 26, 2888, 81, 271, 81, 31772, 30, 11477, 1731, 505, 7831, 324, 27730, 280, 428, 2888, 81, 271, 81, 31772, 79, 291, 436, 420, 615, 328, 27730, 44, 324, 436, 595, 328, 2155, 26, 784, 32, 1516, 81, 11278, 711, 400, 2698, 81, 678, 280, 1671, 32, 2423, 463, 19, 67, 370, 8479, 1946, 26, 784, 32, 22792, 32, 11278, 77, 91, 997, 13163, 1142, 26, 90, 615, 2610, 400, 630, 32, 1274, 32, 524, 26, 643, 81, 678, 30, 301, 2592, 81, 426, 26, 91, 711, 1665, 1748, 284, 665, 2290, 81, 266, 81, 1274, 26, 784, 30, 420, 615, 30, 1858, 81, 1516, 30, 18673, 711, 291, 5881, 2891, 1169, 322, 3276, 2431, 328, 458, 8409, 1858, 9592, 291, 7461, 280, 1671, 32, 2423, 463, 19, 67, 370, 18673, 77, 1274, 81, 1516, 1674, 34, 1130, 291, 3857, 280, 1671, 32, 2423, 463, 19, 67, 370, 18673, 77, 1274, 81, 1516, 1674, 35, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 1, 1, 0, 4, 3, 4, 4, 4, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 1, 1, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 4, 4, 7, 8, 6, 6, 9, 8, 9, 8, 10, 8, 4, 4, 7, 6, 6, 10, 10, 10, 10, 11, 10, 8, 10, 12, 12, 12, 12, 12, 11, 12, 10, 7, 7, 8, 8, 8, 10, 12, 11, 12, 12, 12, 10, 4, 4, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 10, 9, 9, 10, 9, 5, 5, 6, 8, 8, 8, 7, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 11, 10, 11, 9, 9, 10, 11, 9, 6, 6, 9, 10, 8, 8, 2, 2, 3, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 6, 6, 5, 5, 5, 4, 4, 6, 6, 7, 7, 7, 7, 4, 4, 5, 6, 8, 9, 9, 9, 9, 9, 8, 8, 10, 10, 10, 5, 5, 8, 8, 10, 10, 10, 10, 10, 9, 4, 4, 5, 6, 5, 5, 5, 5, 5, 7, 7, 7, 9, 11, 10, 11, 11, 11, 9, 7, 7, 11, 11, 10, 10, 12, 13, 12, 14, 14, 14, 12, 12, 14, 20, 19, 20, 18, 19, 17, 18, 17, 17, 17, 16, 17, 17, 16, 8, 8, 12, 13, 11, 12, 11, 12, 12, 12, 11, 11, 15, 15, 15, 15, 16, 15, 13, 12, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 8, 10, 11, 11, 11, 10, 10, 9, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 8, 10, 11, 11, 11, 10, 10, 9 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 2, 2, 2, 1, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 8, 8, 2, 1, 1, 2, 8, 8, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 5, 5, 5, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 5, 5, 3, 0, 0, 0, 1, 2, 3, 3, 3, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 0, 2, 0, 0, 4, 4, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 4, 4, 4, 4, 4, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 3, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 3 ]
[ 465, 23978, 32, 2186, 203, 823, 7411, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 4809, 30, 3124, 711, 291, 630, 32, 4458, 280, 4809, 291, 630, 32, 4458, 81, 6587, 280, 4809, 32, 371, 81, 6587, 346, 291, 630, 32, 1644, 30, 630, 32, 2273, 280, 225, 36, 34, 34, 30, 225, 39, 34, 291, 630, 32, 1640, 81, 1489, 280, 308, 34, 30, 225, 36, 39, 39, 30, 225, 34, 27, 291, 630, 32, 878, 81, 1489, 280, 308, 36, 39, 39, 30, 225, 36, 39, 39, 30, 225, 36, 39, 39, 27, 291, 630, 32, 2186, 280, 23978, 32, 2186, 32, 10833, 3713, 26, 2521, 30, 225, 38, 42, 27, 291, 630, 32, 6587, 280, 23978, 32, 4367, 26, 34, 30, 225, 34, 30, 630, 32, 1644, 30, 630, 32, 2273, 27, 291, 630, 32, 6587, 32, 2390, 280, 630, 32, 4458, 81, 6587, 32, 2390, 291, 630, 32, 26279, 81, 2076, 26, 2076, 27, 284, 665, 35535, 81, 2076, 26, 784, 30, 3124, 711, 291, 630, 32, 2076, 81, 893, 280, 630, 32, 2186, 32, 3169, 26, 2076, 30, 2933, 30, 630, 32, 878, 81, 1489, 30, 10631, 630, 32, 1640, 81, 1489, 27, 291, 630, 32, 2076, 81, 893, 81, 6587, 280, 630, 32, 2076, 81, 893, 32, 371, 81, 6587, 346, 291, 630, 32, 2076, 81, 893, 81, 6587, 32, 2390, 280, 630, 32, 6587, 32, 2390, 284, 665, 5171, 81, 1640, 26, 784, 711, 291, 630, 32, 4458, 32, 4157, 26, 784, 32, 1640, 81, 1489, 30, 630, 32, 6587, 27, 291, 630, 32, 4458, 32, 36210, 26, 784, 32, 2076, 81, 893, 30, 630, 32, 2076, 81, 893, 81, 6587, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 0, 1, 1, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 8, 9, 7, 7, 8, 9, 6, 6, 8, 8, 8, 7, 7, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 7, 7, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 8, 8, 9, 8, 8, 9, 10, 8, 8, 9, 10, 8, 4, 4, 8, 9, 7, 8, 6, 6, 8, 9, 9, 9, 7, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 6, 6, 8, 9, 7, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 2, 3, 3, 3, 2, 2, 5, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 7, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 12870, 81, 5379, 203, 465, 5741, 203, 751, 280, 5741, 32, 10579, 440, 1588, 4025, 84, 5346, 32, 8200, 657, 203, 1070, 2334, 4025, 84, 5346, 1188, 1503, 800, 203, 1981, 81, 1588, 4025, 84, 5346, 280, 330, 1588, 4025, 84, 5346, 610, 330, 474, 1503, 800, 346, 203, 823, 20734, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 2121, 280, 12870, 81, 5379, 32, 6330, 24562, 291, 10252, 30, 4275, 280, 12870, 81, 5379, 32, 13578, 81, 470, 32, 1809, 81, 5558, 26, 784, 32, 2121, 27, 291, 436, 3973, 328, 10252, 44, 324, 12870, 81, 5379, 32, 13578, 81, 470, 32, 669, 26, 2796, 27, 291, 436, 1048, 328, 3878, 44, 324, 1245, 32, 1338, 440, 7815, 372, 2454, 7433, 44, 904, 101, 392, 1048, 27, 291, 630, 32, 25075, 280, 2149, 284, 665, 2684, 81, 5792, 26, 784, 30, 3414, 81, 1493, 81, 681, 30, 7763, 81, 426, 30, 7763, 711, 291, 630, 32, 25075, 9357, 3038, 81, 1493, 81, 681, 30, 5792, 81, 426, 2177, 280, 7763, 284, 665, 11470, 81, 5792, 26, 784, 30, 3414, 81, 1493, 81, 681, 30, 7763, 81, 426, 30, 7763, 81, 681, 30, 20066, 47, 1981, 81, 1588, 4025, 84, 5346, 711, 291, 1245, 32, 2811, 440, 44535, 973, 6611, 101, 25, 432, 827, 904, 101, 623, 20066, 904, 101, 392, 7763, 81, 426, 30, 4288, 3414, 81, 1493, 81, 681, 30, 20066, 27, 291, 415, 308, 3038, 81, 1493, 81, 681, 30, 5792, 81, 426, 27, 328, 630, 32, 25075, 44, 324, 7763, 280, 630, 32, 25075, 9357, 3038, 81, 1493, 81, 681, 30, 5792, 81, 426, 2177, 291, 813, 44, 324, 20066, 280, 12870, 81, 5379, 32, 18079, 32, 2208, 26, 34775, 27, 324, 7433, 280, 12870, 81, 5379, 32, 13578, 81, 470, 32, 1809, 26, 34775, 27, 324, 7763, 280, 7433, 32, 944, 81, 3038, 81, 1493, 26, 3038, 81, 1493, 81, 681, 30, 7763, 81, 426, 27, 291, 1245, 32, 2811, 440, 5893, 7763, 904, 101, 15231, 101, 392, 7763, 3667, 1647, 7642, 7763, 3667, 823, 29215, 426, 8223, 291, 415, 646, 438, 39288, 26, 5792, 30, 7763, 81, 681, 711, 324, 3636, 12678, 440, 24330, 2537, 438, 646, 312, 22948, 432, 16531, 1643, 26, 400, 7763, 3667, 1647, 7642, 7763, 3667, 823, 29215, 426, 7642, 7763, 81, 681, 3667, 426, 28154, 291, 442, 7763, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 10, 10, 9, 10, 10, 10, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 5, 5, 5, 5, 5, 11, 11, 10, 11, 11, 11, 9, 10, 9, 10, 9, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 8, 9, 7, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 7, 7, 8, 8, 8, 8, 7, 7, 7, 4, 4, 5, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 6, 6, 7, 8, 5, 5, 5, 8, 8, 10, 11, 9, 11, 11, 11, 11, 11, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 9, 9, 13, 13, 12, 13, 11, 12, 11, 12, 11, 7, 7, 9, 9, 13, 13, 12, 13, 13, 13, 11, 12, 11, 12, 11, 7, 7, 9, 9, 11, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 11, 11, 12, 12, 11, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 9, 7, 9, 10, 10, 9, 9, 4, 4, 5, 6, 8, 8, 9, 8, 8, 9, 9, 8, 5, 5, 7, 9, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 11, 11, 12, 13, 13, 11, 13, 14, 14, 13, 13, 11, 13, 13, 12, 13, 13, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 5, 5, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 3, 3, 3, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 5, 5, 5, 5, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 0, 2, 2, 2, 2, 4, 4, 3, 1, 0, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 5, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 858, 32, 1580, 1188, 4448, 2214, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2244, 8688, 1240, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 11123, 27209, 203, 1070, 21361, 32, 4338, 1188, 1682, 571, 1462, 203, 1070, 1256, 32, 3378, 1188, 2680, 30, 34032, 30, 19256, 19939, 21622, 203, 823, 1682, 571, 1462, 1006, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 5792, 280, 4448, 2214, 346, 291, 630, 32, 9855, 81, 15765, 21622, 280, 19256, 19939, 21622, 32, 5740, 32, 1297, 81, 496, 26, 1935, 1057, 27838, 50, 27838, 32, 508, 370, 3882, 1057, 15519, 4945, 35, 36, 683, 291, 630, 32, 16981, 280, 34032, 32, 5740, 32, 1297, 81, 496, 26, 1935, 1057, 16981, 50, 16981, 32, 508, 370, 17739, 3882, 1057, 15519, 4945, 35, 36, 370, 17739, 390, 7414, 1057, 41, 36, 42, 39, 34, 41, 37, 39, 370, 17739, 632, 56, 1057, 3698, 370, 17739, 11297, 1057, 4349, 302, 1999, 18678, 370, 17739, 44440, 1057, 1465, 83, 38397, 370, 17739, 31616, 1057, 52, 315, 331, 225, 36, 1910, 54, 225, 41, 34, 35, 683, 291, 630, 32, 496, 280, 2680, 32, 5740, 32, 1297, 81, 496, 26, 1935, 1057, 496, 50, 496, 32, 508, 370, 3882, 1057, 15519, 4945, 35, 36, 683, 284, 665, 894, 87, 81, 16320, 81, 371, 81, 16320, 81, 12655, 81, 3615, 26, 784, 711, 291, 1326, 280, 630, 32, 5792, 32, 371, 3247, 16320, 33, 668, 81, 327, 1462, 25844, 291, 1326, 32, 496, 280, 2244, 8688, 1240, 346, 291, 1789, 280, 1682, 571, 1462, 32, 302, 81, 1071, 18627, 1357, 27, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 37, 34, 36, 27, 284, 665, 894, 87, 81, 16320, 81, 371, 81, 16320, 81, 1793, 81, 16981, 26, 784, 711, 291, 1326, 280, 630, 32, 5792, 32, 371, 3247, 16320, 33, 668, 81, 327, 1462, 25844, 291, 1326, 32, 496, 280, 630, 32, 16981, 291, 623, 630, 32, 23895, 26, 7040, 27209, 711, 324, 1682, 571, 1462, 32, 302, 81, 1071, 18627, 1357, 27, 284, 665, 894, 87, 81, 16320, 81, 371, 81, 16320, 81, 1793, 81, 496, 26, 784, 711, 291, 1326, 280, 630, 32, 5792, 32, 371, 3247, 16320, 33, 668, 81, 327, 1462, 25844, 291, 1326, 32, 496, 280, 630, 32, 496, 291, 623, 630, 32, 23895, 26, 7040, 27209, 711, 324, 1682, 571, 1462, 32, 302, 81, 1071, 18627, 1357, 27, 284, 665, 894, 87, 81, 16320, 81, 371, 81, 16320, 81, 1793, 81, 9855, 81, 15765, 21622, 26, 784, 711, 291, 1326, 280, 630, 32, 5792, 32, 371, 3247, 16320, 33, 668, 81, 327, 1462, 25844, 291, 1326, 32, 496, 280, 630, 32, 9855, 81, 15765, 21622, 291, 1789, 280, 1682, 571, 1462, 32, 302, 81, 1071, 18627, 1357, 27, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 36, 34, 34, 27, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 10, 10, 9, 10, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 11, 11, 8, 9, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 8, 8, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 9, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 8, 8, 10, 11, 11, 11, 11, 8, 8, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 4, 8, 7, 8, 6, 10, 9, 10, 8, 9, 9, 9, 8, 10, 11, 11, 11, 11, 11, 11, 8, 10, 11, 11, 11, 11, 11, 8, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 7, 6, 10, 9, 10, 8, 9, 10, 10, 10, 10, 10, 10, 10, 8, 4, 8, 7, 8, 6, 8, 8, 8, 8, 4, 7, 6, 10, 10, 10, 9, 10, 10, 10, 8, 9, 8, 4, 8, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 7, 6, 10, 9, 10, 8, 9, 10, 10, 10, 10, 10, 10, 10, 8, 4, 8, 7, 8, 6, 8, 7, 8, 4, 5, 10, 9, 10, 9, 10, 10, 5, 5, 11, 11, 11, 10, 11, 11, 11, 9, 10, 9, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 7, 6, 10, 9, 10, 8, 9, 10, 10, 10, 10, 10, 10, 10, 8, 4, 8, 7, 8, 6, 8, 7, 8, 4, 5, 10, 9, 10, 9, 10, 10, 5, 5, 11, 11, 11, 10, 11, 11, 11, 9, 10, 9, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 7, 6, 10, 9, 10, 8, 9, 10, 10, 10, 10, 10, 10, 10, 8, 4, 8, 7, 8, 6, 8, 7, 8, 8, 8, 8, 4, 7, 6, 10, 10, 10, 9, 10, 10, 10, 8, 9, 8, 4, 8, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 5, 5, 5, 5, 0, 0, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 7, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 0, 0, 0, 0, 1, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 0, 0, 2, 2, 4, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 0, 0, 2, 2, 4, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 13092, 203, 1070, 298, 3625, 1140, 32, 8587, 1188, 13199, 3234, 30, 5826, 23036, 6829, 30, 13630, 2644, 203, 1070, 298, 3625, 1140, 32, 20333, 1188, 2032, 13038, 203, 589, 894, 81, 3287, 81, 858, 34, 34, 35, 81, 566, 282, 2262, 284, 623, 2156, 440, 858, 81, 605, 33, 858, 34, 34, 35, 32, 566, 282, 392, 313, 4506, 657, 619, 11828, 44, 291, 20410, 280, 2032, 13038, 26, 4426, 27, 291, 9058, 280, 1149, 26, 20333, 27, 291, 1201, 2069, 26, 8587, 27, 610, 225, 35, 291, 1201, 9058, 77, 34, 997, 35023, 1020, 503, 610, 3778, 20, 291, 1201, 9058, 77, 34, 997, 1648, 610, 308, 35, 30, 225, 34, 27, 291, 1201, 9058, 77, 34, 997, 1322, 610, 429, 35, 291, 1201, 2069, 26, 8587, 77, 34, 997, 2184, 27, 610, 225, 34, 291, 1201, 2069, 26, 8587, 77, 34, 997, 11201, 27, 610, 225, 34, 203, 589, 894, 81, 3287, 81, 858, 34, 34, 36, 81, 566, 282, 2262, 284, 623, 2156, 440, 858, 81, 605, 33, 858, 34, 34, 36, 32, 566, 282, 392, 313, 4506, 657, 619, 11828, 44, 291, 20410, 280, 2032, 13038, 26, 4426, 27, 291, 9058, 280, 1149, 26, 20333, 27, 291, 1201, 2069, 26, 8587, 27, 610, 225, 36, 291, 1201, 6937, 26, 8587, 77, 34, 614, 13630, 2644, 27, 291, 1201, 9058, 77, 34, 997, 35023, 1020, 503, 610, 3778, 20, 291, 1201, 9058, 77, 34, 997, 1648, 610, 308, 35, 30, 225, 34, 27, 291, 1201, 9058, 77, 34, 997, 1322, 610, 429, 35, 291, 1201, 2069, 26, 8587, 77, 34, 997, 2184, 27, 610, 225, 34, 291, 1201, 2069, 26, 8587, 77, 34, 997, 11201, 27, 610, 225, 35, 291, 1201, 6937, 26, 8587, 77, 35, 614, 13199, 3234, 27, 291, 1201, 9058, 77, 35, 997, 1204, 81, 681, 610, 225, 34, 16189, 1201, 9058, 77, 35, 997, 16519, 1657, 610, 225, 34, 291, 1201, 2069, 26, 8587, 77, 35, 997, 2184, 27, 610, 225, 34, 203, 589, 894, 81, 3287, 81, 858, 34, 34, 37, 81, 566, 282, 2262, 284, 623, 2156, 440, 858, 81, 605, 33, 858, 34, 34, 37, 32, 566, 282, 392, 313, 4506, 657, 619, 11828, 44, 291, 20410, 280, 2032, 13038, 26, 4426, 27, 291, 9058, 280, 1149, 26, 20333, 27, 291, 1201, 2069, 26, 8587, 27, 610, 225, 36, 291, 1201, 6937, 26, 8587, 77, 34, 614, 13630, 2644, 27, 291, 1201, 9058, 77, 34, 997, 35023, 1020, 503, 610, 3778, 20, 291, 1201, 9058, 77, 34, 997, 1648, 610, 308, 35, 30, 225, 34, 27, 291, 1201, 9058, 77, 34, 997, 1322, 610, 429, 35, 291, 1201, 2069, 26, 8587, 77, 34, 997, 2184, 27, 610, 225, 34, 291, 1201, 2069, 26, 8587, 77, 34, 997, 11201, 27, 610, 225, 35, 291, 1201, 6937, 26, 8587, 77, 35, 614, 13199, 3234, 27, 291, 1201, 9058, 77, 35, 997, 1204, 81, 681, 610, 225, 34, 106, 34, 38, 54, 42, 16189, 1201, 9058, 77, 35, 997, 16519, 1657, 610, 225, 34, 106, 41, 53, 291, 1201, 2069, 26, 8587, 77 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 6, 6, 3, 3, 3, 6, 6, 8, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 8, 9, 8, 6, 6, 7, 4, 4, 5, 8, 9, 8, 8, 8, 8, 6, 6, 8, 4, 4, 5, 8, 9, 8, 8, 6, 6, 8, 7, 7, 8, 7, 4, 4, 5, 8, 9, 8, 8, 6, 6, 8, 4, 4, 5, 8, 11, 10, 11, 10, 10, 8, 6, 6, 7, 4, 4, 5, 8, 11, 10, 11, 10, 10, 8, 6, 6, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 6, 6, 3, 3, 3, 6, 6, 8, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 8, 9, 8, 6, 6, 7, 4, 4, 5, 7, 9, 8, 9, 8, 7, 8, 7, 4, 4, 5, 8, 9, 8, 8, 8, 8, 6, 6, 8, 4, 4, 5, 8, 9, 8, 8, 6, 6, 8, 7, 7, 8, 7, 4, 4, 5, 8, 9, 8, 8, 6, 6, 8, 4, 4, 5, 8, 11, 10, 11, 10, 10, 8, 6, 6, 7, 4, 4, 5, 8, 11, 10, 11, 10, 10, 8, 6, 6, 7, 4, 4, 5, 7, 9, 8, 9, 8, 7, 8, 7, 4, 4, 5, 8, 9, 8, 8, 8, 8, 6, 6, 7, 4, 4, 5, 8, 9, 8, 8, 8, 6, 6, 7, 4, 4, 5, 8, 11, 10, 11, 10, 10, 8, 6, 6, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 6, 6, 3, 3, 3, 6, 6, 8, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 8, 9, 8, 6, 6, 7, 4, 4, 5, 7, 9, 8, 9, 8, 7, 8, 7, 4, 4, 5, 8, 9, 8, 8, 8, 8, 6, 6, 8, 4, 4, 5, 8, 9, 8, 8, 6, 6, 8, 7, 7, 8, 7, 4, 4, 5, 8, 9, 8, 8, 6, 6, 8, 4, 4, 5, 8, 11, 10, 11, 10, 10, 8, 6, 6, 7, 4, 4, 5, 8, 11, 10, 11, 10, 10, 8, 6, 6, 7, 4, 4, 5, 7, 9, 8, 9, 8, 7, 8, 7, 4, 4, 5, 8, 9, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 7, 4, 4, 5, 8, 9, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 5, 8, 11, 10 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 2, 0, 2, 2, 2, 1, 1, 2, 3, 3, 4, 0, 2, 0, 2, 1, 1, 1, 2, 2, 3, 2, 3, 3, 5, 0, 2, 0, 2, 1, 1, 1, 3, 3, 6, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 3, 3, 7, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 0, 1, 2, 1, 1, 3, 1, 3, 3, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 3, 3, 5, 0, 2, 0, 2, 1, 1, 1, 2, 2, 3, 2, 3, 3, 6, 0, 2, 0, 2, 1, 1, 1, 3, 3, 7, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 3, 3, 8, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 3, 3, 9, 1, 0, 1, 2, 1, 1, 3, 1, 3, 3, 10, 0, 2, 0, 2, 2, 2, 1, 1, 2, 3, 3, 11, 0, 2, 0, 2, 2, 1, 1, 2, 3, 3, 12, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 0, 1, 2, 1, 1, 3, 1, 3, 3, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 3, 3, 5, 0, 2, 0, 2, 1, 1, 1, 2, 2, 3, 2, 3, 3, 6, 0, 2, 0, 2, 1, 1, 1, 3, 3, 7, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 3, 3, 8, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 3, 3, 9, 1, 0, 1, 2, 1, 1, 3, 1, 3, 3, 10, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 11, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 3, 3, 12, 1, 0, 0 ]
[ 1070, 638, 2282, 1188, 13601, 203, 1070, 4377, 8524, 1188, 2756, 81, 22033, 37, 203, 505, 464, 505, 280, 2726, 2013, 683, 203, 325, 2756, 81, 22033, 37, 44, 284, 1695, 800, 280, 596, 203, 589, 10891, 81, 1055, 26, 2875, 30, 1244, 47, 2521, 711, 284, 415, 5417, 438, 1665, 44, 291, 442, 1244, 284, 4348, 5417, 333, 225, 34, 44, 291, 442, 5417, 429, 225, 35, 284, 813, 44, 291, 442, 5417, 203, 823, 7724, 26, 7313, 711, 284, 617, 1237, 81, 4254, 280, 313, 30360, 81, 1954, 15659, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 630, 32, 1357, 463, 2668, 81, 928, 81, 998, 683, 284, 665, 617, 371, 81, 4446, 26, 784, 30, 1477, 30, 943, 30, 6523, 711, 291, 5430, 280, 630, 32, 1357, 81, 1294, 463, 30360, 81, 1954, 81, 371, 81, 4446, 370, 1477, 30, 943, 30, 6523, 27, 291, 442, 428, 928, 32, 5460, 463, 3310, 42, 683, 436, 1628, 328, 5430, 79, 284, 665, 617, 470, 81, 4446, 26, 784, 30, 1477, 30, 943, 30, 6523, 30, 5430, 711, 291, 5430, 280, 428, 928, 32, 4434, 463, 3310, 42, 683, 436, 1628, 328, 5430, 79, 291, 442, 630, 32, 1357, 81, 1294, 463, 30360, 81, 1954, 81, 470, 81, 4446, 370, 1477, 30, 943, 30, 6523, 30, 5430, 27, 284, 665, 1156, 33644, 3207, 784, 30, 5417, 711, 291, 415, 646, 6937, 26, 2875, 30, 11494, 711, 324, 595, 280, 10891, 81, 1055, 26, 2875, 27, 324, 442, 630, 1114, 371, 81, 4446, 26, 91, 30, 595, 474, 225, 35, 30, 2933, 5594, 34, 79, 291, 1477, 280, 10891, 81, 1055, 26, 2875, 32, 1366, 30, 225, 34, 27, 291, 943, 280, 10891, 81, 1055, 26, 2875, 32, 4048, 30, 429, 35, 27, 291, 442, 630, 1114, 371, 81, 4446, 26, 1366, 30, 943, 30, 3177, 27, 284, 665, 1156, 470, 1094, 3207, 784, 30, 5417, 30, 1623, 711, 291, 415, 646, 6937, 26, 2875, 30, 11494, 711, 324, 595, 280, 10891, 81, 1055, 26, 2875, 27, 324, 5430, 280, 428, 1094, 79, 415, 1623, 438, 646, 1665, 813, 1605, 324, 442, 630, 1114, 470, 81, 4446, 26, 91, 30, 595, 474, 225, 35, 30, 2933, 30, 5430, 27, 291, 5430, 280, 1623, 415, 1623, 438, 646, 1665, 813, 1605, 291, 1477, 280, 10891, 81, 1055, 26, 2875, 32, 1366, 30, 225, 34, 27, 291, 943, 280, 10891, 81, 1055, 26, 2875, 32, 4048, 30, 429, 35, 27, 291, 442, 630, 1114, 470, 81, 4446, 26, 1366, 30, 943, 30, 3177, 30, 5430, 27, 284, 665, 1156, 1731, 3207, 784, 711, 291, 5430, 280, 630, 31445, 291, 436, 1628, 328, 5430, 44, 324, 6761, 1628, 284, 665, 1156, 4025, 1094, 3207, 784, 30, 5417, 711, 291, 630, 3667, 470, 1094, 3207, 2875, 30, 1665, 27, 284, 665, 5489, 26, 784, 30, 5430, 30, 1650, 6593, 35, 711, 291, 415, 6937, 26, 4446, 30, 308, 1439, 800, 30, 3519, 8531, 324, 5430, 280, 428, 4446, 79, 291, 442, 630, 1114, 470, 81, 4446, 26, 1055, 30, 1650, 30, 2933, 30, 5430, 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, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 1, 5, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 3, 3, 4, 5, 5, 6, 4, 4, 4, 6, 7, 7, 8, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 8, 8, 8, 4, 4, 5, 9, 8, 9, 8, 10, 10, 10, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 10, 9, 10, 9, 11, 11, 11, 7, 8, 8, 8, 7, 4, 4, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 8, 5, 5, 8, 8, 10, 10, 10, 11, 10, 6, 6, 7, 10, 11, 11, 11, 10, 11, 10, 10, 11, 11, 12, 10, 10, 10, 9, 8, 4, 4, 6, 6, 8, 8, 8, 10, 9, 10, 8, 8, 9, 8, 4, 4, 6, 6, 8, 8, 8, 10, 9, 10, 8, 8, 10, 8, 4, 4, 5, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 8, 5, 5, 8, 8, 10, 10, 10, 11, 10, 6, 6, 8, 8, 11, 10, 9, 9, 10, 10, 10, 9, 9, 6, 6, 7, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 11, 9, 9, 9, 9, 9, 4, 4, 6, 6, 7, 7, 8, 8, 8, 7, 7, 4, 4, 6, 6, 8, 8, 8, 10, 9, 10, 8, 8, 9, 8, 4, 4, 6, 6, 8, 8, 8, 10, 9, 10, 8, 8, 10, 8, 4, 4, 5, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 7, 4, 4, 5, 5, 5, 5, 5, 5, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 7, 4, 3, 3, 5, 7, 8, 7, 7, 9, 9, 8, 8, 8, 5, 5, 8, 8, 10, 9, 4, 4, 5, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 3, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 2, 4, 4, 4, 0, 1, 1, 2, 0, 0, 5, 5, 5, 0, 0, 5, 5, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 1, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 4, 4, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 2, 6, 6, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 4, 4, 7, 1, 1, 1, 1, 2, 2, 2, 7, 7, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 8, 2, 1, 2, 2, 2, 2, 5, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 1, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 12460, 203, 465, 5237, 203, 465, 16539, 203, 465, 2322, 203, 465, 1133, 203, 5000, 81, 1515, 280, 2430, 18580, 33, 1462, 36, 20, 203, 589, 1505, 81, 10333, 26, 7199, 81, 1516, 30, 827, 711, 664, 415, 827, 610, 313, 12714, 563, 397, 4774, 280, 313, 1069, 429, 11416, 523, 23455, 4034, 34629, 1492, 523, 14173, 4034, 12714, 1492, 523, 14173, 4034, 7199, 20, 474, 17218, 81, 1516, 474, 12378, 523, 14173, 429, 104, 14173, 523, 22318, 429, 94, 20, 664, 813, 44, 8572, 4774, 280, 313, 1069, 429, 11416, 523, 23455, 4034, 34629, 1492, 523, 14173, 4034, 3181, 1492, 523, 14173, 4034, 7199, 20, 474, 17218, 81, 1516, 474, 12378, 523, 14173, 429, 104, 14173, 523, 22318, 429, 94, 20, 664, 1459, 26, 3515, 27, 664, 1688, 280, 16539, 32, 1553, 81, 2024, 26, 3515, 30, 9073, 47, 1815, 547, 5460, 440, 3310, 31, 42, 657, 664, 1688, 280, 629, 26, 2024, 32, 3227, 5528, 96, 392, 34612, 664, 442, 26, 410, 26, 2024, 490, 203, 589, 1477, 81, 14117, 26, 7199, 81, 1516, 711, 664, 3974, 280, 1505, 81, 10333, 26, 7199, 81, 1516, 30, 313, 12714, 657, 664, 415, 3974, 610, 225, 34, 44, 397, 4774, 280, 2430, 3381, 33, 1771, 33, 34629, 429, 91, 12190, 419, 555, 35, 43, 36, 32, 35, 40, 42, 32, 41, 40, 32, 41, 20, 474, 17218, 81, 1516, 474, 2430, 453, 34, 81, 34, 429, 85, 1933, 429, 1110, 225, 34, 429, 88, 8430, 429, 20834, 225, 35, 429, 8708, 81, 1003, 225, 40, 34, 429, 8708, 81, 1643, 7680, 38, 25688, 474, 6027, 81, 1515, 474, 2430, 12714, 5681, 474, 5461, 75, 9299, 95, 9299, 86, 16335, 58, 9299, 63, 9299, 69, 31, 7199, 20, 474, 17218, 81, 1516, 474, 4939, 317, 38, 1492, 225, 36, 2878, 35, 848, 517, 1902, 33, 1693, 549, 313, 397, 1459, 26, 3515, 27, 397, 2322, 32, 2946, 26, 3515, 27, 397, 1133, 32, 7840, 26, 36, 27, 664, 813, 44, 8572, 1459, 2884, 34629, 3425, 3974, 436, 17218, 9318, 17218, 81, 1516, 27, 664, 3974, 280, 1505, 81, 10333, 26, 7199, 81, 1516, 30, 313, 3181, 657, 664, 415, 3974, 610, 225, 34, 44, 397, 4774, 280, 2430, 3381, 33, 1771, 33, 34629, 429, 91, 12190, 419, 555, 35, 43, 36, 32, 35, 40, 42, 32, 41, 40, 32, 41, 20, 474, 17218, 81, 1516, 474, 2430, 453, 34, 81, 35, 429, 85, 1933, 429, 1110, 225, 34, 429, 88, 8430, 429, 20834, 225, 35, 429, 8708, 81, 1003, 225, 40, 34, 429, 8708, 81, 1643, 7680, 38, 25688, 474, 6027, 81, 1515, 474, 2430, 3181, 5681, 474, 5461, 75, 9299, 95, 9299, 86, 16335, 58, 9299, 63, 9299, 69, 31, 7199, 20, 474, 17218, 81, 1516, 474, 4939, 317, 38, 1492, 225, 36, 2878, 35, 848, 517, 1902, 33, 1693, 549, 313, 397, 1459, 26, 3515, 27, 397, 2322, 32, 2946, 26, 3515, 27, 397, 1133, 32, 7840, 26, 36, 27, 664, 813, 44, 8572, 1459, 2884, 34629, 3425, 3974, 436, 17218, 9318, 17218, 81, 1516, 27, 203, 589, 4719, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 3, 4, 4, 6, 6, 3, 3, 6, 6, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 8, 8, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 4, 4, 7, 7, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11, 11, 12, 11, 11, 11, 11, 11, 9, 9, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 6, 5, 2, 2, 4, 4, 8, 9, 9, 9, 8, 9, 8, 8, 9, 10, 8, 7, 6, 8, 8, 8, 8, 2, 2, 4, 4, 6, 9, 8, 9, 8, 11, 10, 8, 2, 2, 4, 6, 6, 7, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 7, 7, 7, 6, 6, 8, 8, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 12, 12, 10, 10, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 9, 7, 7, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 3, 3, 4, 4, 4, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 2, 2, 4, 4, 6, 6, 6, 7, 7, 7, 6, 6, 8, 8, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 12, 12, 10, 10, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 9, 7, 7, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 3, 3, 4, 4, 4, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 0, 1, 1, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 2, 1, 1, 1, 2, 2, 2, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 4, 4, 1, 0, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 8, 8, 1 ]
[ 1070, 33186, 2076, 32, 2859, 32, 1439, 1188, 3772, 6861, 203, 823, 8229, 5108, 2937, 6861, 26, 1761, 6861, 711, 284, 8456, 81, 4254, 81, 268, 280, 540, 18010, 5473, 33, 7804, 8294, 8169, 819, 25, 284, 1156, 426, 505, 280, 330, 8629, 954, 2937, 25, 284, 1156, 2310, 505, 280, 330, 1382, 26465, 954, 2937, 9209, 2664, 25, 284, 1156, 1204, 505, 280, 330, 641, 555, 8629, 954, 2937, 32, 40528, 32, 23693, 32, 508, 7404, 284, 1156, 2180, 505, 280, 330, 641, 555, 2180, 32, 40528, 32, 23693, 32, 508, 33, 2751, 33, 1460, 54, 33, 8629, 954, 2937, 25, 284, 1156, 2067, 505, 280, 330, 5735, 5108, 2937, 17422, 1171, 25, 284, 1156, 1566, 505, 280, 7610, 1574, 33, 1275, 33, 5353, 33, 530, 269, 269, 1052, 39, 34, 32, 1645, 25, 284, 665, 1780, 26, 784, 30, 3124, 30, 1115, 1163, 711, 291, 442, 3124, 710, 5473, 5695, 2998, 39054, 225, 36, 5594, 31, 35, 79, 284, 665, 27775, 26, 784, 30, 3124, 30, 1115, 1163, 711, 291, 2125, 280, 630, 32, 1311, 26, 2076, 30, 1115, 1163, 547, 2998, 36909, 6448, 35, 79, 291, 415, 3124, 710, 2076, 4902, 681, 785, 610, 330, 5762, 783, 1296, 567, 950, 324, 10306, 280, 5436, 26, 400, 2125, 47, 1141, 30, 400, 2652, 47, 2076, 710, 2076, 4902, 1320, 81, 426, 2188, 400, 22340, 1057, 31, 2473, 2524, 26, 2076, 710, 2076, 4902, 23469, 5695, 100, 2998, 12605, 370, 225, 36, 5594, 35, 44, 5727, 400, 1760, 1057, 31, 2473, 2524, 26, 2076, 710, 2076, 4902, 9692, 100, 5695, 100, 2998, 12605, 370, 225, 36, 5594, 35, 44, 5727, 324, 829, 324, 3079, 280, 2726, 8629, 954, 2937, 14828, 432, 301, 1320, 111, 438, 301, 1141, 111, 330, 715, 330, 1371, 1977, 111, 8187, 301, 23469, 1748, 683, 324, 442, 3079, 32, 1643, 14605, 5321, 27, 291, 4348, 3124, 710, 2076, 4902, 681, 785, 610, 330, 39861, 16928, 1296, 950, 324, 10306, 280, 5436, 26, 1141, 47, 1141, 30, 310, 10235, 47, 2076, 710, 2076, 4902, 9692, 100, 3490, 324, 3079, 280, 330, 8629, 954, 2937, 9209, 432, 301, 9692, 100, 111, 438, 301, 1141, 8129, 324, 442, 3079, 32, 1643, 14605, 5321, 27, 284, 665, 7599, 26, 784, 30, 3124, 30, 1115, 1163, 711, 291, 442, 739, 2009, 2076, 710, 2076, 4902, 1320, 81, 426, 47289, 284, 665, 2552, 26, 784, 30, 3124, 30, 1115, 1163, 711, 291, 3079, 280, 330, 641, 555, 8629, 954, 2937, 32, 40528, 32, 23693, 32, 508, 33, 1945, 5263, 1945, 81, 314, 3188, 25, 291, 442, 3079, 32, 1643, 14605, 2076, 710, 2076, 3490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 5, 9, 11, 11, 9, 8, 8, 9, 8, 7, 8, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 6, 6, 11, 12, 11, 12, 11, 11, 13, 11, 10, 9, 7, 9, 7, 4, 4, 5, 8, 10, 10, 9, 9, 6, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 10, 10, 10, 11, 12, 10, 10, 10, 11, 14, 13, 15, 15, 14, 14, 14, 14, 10, 10, 11, 15, 15, 14, 13, 19, 18, 20, 20, 19, 19, 17, 17, 16, 18, 16, 17, 16, 16, 15, 14, 10, 10, 11, 15, 15, 14, 13, 19, 18, 20, 20, 19, 19, 19, 17, 17, 16, 18, 16, 17, 16, 16, 15, 14, 10, 10, 6, 6, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 9, 10, 9, 11, 9, 5, 5, 6, 9, 11, 11, 10, 10, 7, 7, 9, 9, 9, 9, 6, 6, 9, 9, 11, 13, 12, 13, 11, 11, 13, 12, 15, 14, 16, 16, 15, 15, 15, 7, 7, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 8, 10, 11, 10, 12, 10, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 5, 7, 11, 10, 12, 12, 11, 11, 11, 11, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 8, 7, 10, 9, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 2, 1, 2, 2, 2, 2, 1, 2, 7, 7, 0, 0, 1, 2, 2, 1, 1, 3, 1, 2, 1, 1, 4, 4, 8, 2, 1, 2, 2, 2, 2, 1, 2, 8, 8, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 4, 4, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 3, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 5, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 3, 1, 0, 2, 1, 1, 1, 7, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 3, 1, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 0, 2, 1, 1, 1, 1, 1, 4, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 0, 3, 0, 0, 1, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 0, 2, 1, 1, 1, 4, 4, 9, 2, 1, 2, 2, 2, 2, 1, 2, 9, 9, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 4, 4, 10, 2, 1, 2, 2, 2, 2, 1, 2, 10, 10, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 34380, 203, 505, 2116, 505, 280, 2726, 64, 295, 14026, 498, 282, 22072, 333, 33894, 31, 2023, 2166, 50, 95, 31, 21653, 64, 5677, 32, 1299, 48, 1947, 284, 330, 47204, 506, 97, 655, 333, 41127, 1588, 13089, 763, 1166, 32763, 1086, 32763, 13839, 22639, 203, 505, 1427, 1643, 505, 280, 313, 268, 25120, 878, 931, 20, 203, 505, 13411, 505, 280, 8493, 606, 22, 25, 203, 505, 1648, 505, 280, 330, 34, 32, 36, 32, 36, 25, 203, 505, 464, 505, 280, 2107, 20663, 7167, 370, 330, 5897, 20663, 7167, 785, 203, 465, 5237, 203, 1844, 66, 81, 1971, 280, 5237, 32, 1648, 81, 1338, 2867, 36, 79, 203, 325, 1236, 2328, 81, 1971, 333, 308, 36, 30, 225, 36, 711, 284, 3636, 26405, 440, 8312, 354, 32, 36, 32, 36, 556, 6125, 2129, 657, 203, 465, 3738, 30, 11685, 203, 823, 33953, 26, 2665, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3219, 81, 695, 47, 1026, 6523, 47, 2700, 711, 291, 630, 32, 5848, 280, 6523, 291, 5436, 3667, 1664, 3207, 784, 27, 291, 415, 6937, 26, 1664, 81, 695, 30, 33953, 711, 324, 630, 1114, 7508, 280, 3219, 81, 695, 32, 3494, 346, 324, 5436, 32, 1877, 26, 784, 30, 3219, 81, 695, 27, 291, 4348, 6937, 26, 1664, 81, 695, 30, 5436, 711, 324, 3636, 12678, 463, 6376, 2532, 30, 4881, 622, 3946, 645, 5436, 683, 291, 813, 44, 324, 630, 1114, 7508, 280, 1605, 324, 630, 32, 1877, 26, 1664, 81, 695, 27, 284, 665, 1156, 4025, 1094, 3207, 784, 30, 1202, 711, 291, 415, 6937, 26, 678, 30, 3738, 32, 10291, 620, 711, 324, 5036, 280, 630, 1114, 7508, 77, 678, 79, 324, 436, 3414, 328, 5036, 44, 400, 5436, 3667, 4025, 1094, 3207, 784, 30, 3414, 27, 324, 3555, 630, 1114, 7508, 77, 678, 79, 291, 813, 44, 324, 5436, 3667, 4025, 1094, 3207, 784, 30, 1202, 27, 324, 630, 1114, 7508, 32, 2546, 26, 678, 27, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 6937, 26, 2455, 30, 33953, 711, 324, 442, 308, 784, 32, 3028, 346, 610, 1604, 32, 3028, 1157, 291, 813, 44, 324, 442, 3177, 284, 665, 1156, 2159, 3207, 784, 30, 1604, 711, 291, 415, 646, 6937, 26, 2455, 30, 33953, 711, 324, 3636, 12678, 463, 4445, 1755, 8868, 623, 1604, 33953, 101, 683, 291, 442, 308, 784, 32, 3028, 346, 333, 1604, 32, 3028, 1157, 284, 665, 1156, 274, 3207, 784, 30, 1604, 711, 291, 415, 646, 6937, 26, 2455, 30, 33953, 711, 324, 3636, 12678, 463, 4445, 1755, 8868, 623, 1604, 33953, 101, 683, 291, 442, 308, 784, 32, 3028, 346, 2511, 1604, 32, 3028, 1157, 284, 665, 1156, 941, 3207, 784, 30, 1604, 711, 291, 415, 6937, 26, 2455, 30, 33953, 711, 324, 442, 646, 308, 784, 32, 3028, 346, 610, 1604, 32, 3028, 1157, 291, 813, 44, 324, 442, 2933, 284, 665, 1156, 1837, 3207, 784, 30, 1604, 711, 291, 415, 646, 6937, 26, 2455, 30, 33953, 711, 324, 3636, 12678, 463, 4445, 1755, 8868, 623, 1604 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 3, 5, 3, 0, 1, 1, 3, 3, 3, 2, 2, 4, 3, 3, 4, 3, 1, 1, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 4, 4, 5, 7, 8, 8, 8, 7, 7, 7, 5, 5, 9, 10, 8, 8, 11, 11, 10, 11, 10, 6, 6, 9, 10, 9, 10, 9, 9, 10, 10, 9, 5, 5, 6, 8, 9, 9, 9, 8, 8, 8, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 6, 6, 6, 10, 11, 9, 9, 7, 7, 10, 11, 10, 11, 11, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 9, 9, 7, 5, 5, 8, 8, 10, 11, 9, 10, 9, 6, 6, 7, 7, 7, 7, 7, 7, 11, 12, 12, 12, 12, 11, 11, 11, 6, 6, 7, 9, 10, 8, 9, 8, 5, 5, 6, 6, 6, 10, 11, 11, 11, 11, 10, 10, 10, 7, 7, 11, 12, 10, 11, 10, 11, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 7, 5, 5, 7, 12, 11, 12, 11, 9, 9, 11, 12, 11, 5, 5, 6, 6, 6, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 8, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 10, 9, 10, 9, 7, 7, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 8, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 10, 9, 10, 9, 7, 7, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 7, 5, 5, 7, 8, 13, 12, 13, 12, 10, 10, 12, 13, 12, 5, 5, 6, 6, 6, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 8, 5, 5, 7, 9, 11, 11, 11, 11, 11 ]
[ 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, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 8, 8, 0, 0, 0, 1, 1, 1, 2, 2, 3, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 9, 9, 0, 10, 10, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 5, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 3, 3, 1, 2, 2, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 5, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 3, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 2, 0, 2, 1, 2, 1, 0, 0, 4, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 4, 4, 4, 0, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 4, 4, 4, 0, 4, 4, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 15390, 81, 30839, 30, 20654, 203, 465, 25679, 203, 465, 804, 86, 37, 203, 1070, 804, 86, 37, 1188, 34164, 30, 10073, 203, 1070, 804, 86, 37, 32, 7004, 1188, 931, 203, 465, 46436, 203, 1070, 5237, 1188, 6184, 203, 465, 5741, 203, 7490, 32, 6390, 1063, 26, 2649, 47, 7490, 32, 2897, 27, 203, 1270, 44, 284, 645, 5615, 1489, 1188, 38644, 203, 7343, 29986, 44, 284, 665, 38644, 26, 800, 30, 1963, 30, 11758, 711, 291, 442, 802, 203, 589, 10859, 2262, 284, 804, 86, 37, 32, 539, 81, 4189, 26, 272, 27, 284, 26611, 280, 46436, 32, 2208, 32, 9277, 2255, 32, 9672, 3406, 32, 944, 26, 6118, 77, 35, 1130, 284, 1650, 280, 629, 26, 6118, 77, 36, 1130, 429, 225, 35, 284, 6863, 280, 10073, 26, 1766, 37, 32, 464, 81, 5275, 2021, 30, 804, 86, 37, 32, 464, 81, 3792, 993, 27, 284, 28280, 280, 1605, 284, 436, 14772, 328, 26611, 77, 1055, 997, 1251, 668, 44, 291, 28280, 32, 1689, 26, 12338, 14605, 12610, 490, 284, 1459, 26, 47274, 463, 26234, 904, 86, 6078, 904, 308, 1055, 474, 225, 35, 471, 330, 4894, 370, 11758, 11414, 8570, 7698, 284, 25679, 32, 593, 10744, 26, 33031, 27, 284, 1459, 26, 47274, 463, 590, 16737, 12454, 330, 4894, 370, 11758, 11414, 8570, 7698, 284, 6863, 32, 25132, 26, 33031, 27, 284, 436, 595, 30, 7018, 328, 10703, 26, 3483, 32, 2962, 711, 291, 1459, 26, 466, 26, 91, 474, 225, 35, 27, 474, 330, 330, 474, 596, 26, 4641, 490, 284, 1459, 26, 47274, 463, 1061, 15192, 28280, 12454, 330, 4894, 370, 11758, 11414, 8570, 7698, 284, 436, 14772, 328, 6863, 32, 371, 81, 311, 15192, 81, 33031, 26, 33031, 711, 291, 1459, 26, 12610, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 415, 2069, 26, 6118, 27, 863, 225, 37, 44, 291, 1459, 463, 6772, 44, 4262, 370, 6184, 77, 34, 614, 4145, 468, 611, 803, 10154, 4145, 1055, 22639, 284, 813, 44, 291, 10859, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 4, 3, 4, 4, 3, 5, 4, 6, 5, 6, 3, 0, 1, 1, 1, 1, 3, 5, 3, 3, 1, 2, 2, 2, 2, 2, 4, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 0, 1, 1, 2, 1, 1, 6, 6, 5, 6, 6, 6, 5, 6, 5, 2, 2, 4, 4, 9, 10, 8, 9, 9, 7, 8, 8, 6, 7, 6, 8, 7, 8, 7, 2, 2, 4, 4, 7, 9, 8, 9, 8, 5, 5, 6, 2, 2, 4, 4, 6, 8, 8, 7, 8, 8, 8, 8, 6, 6, 8, 8, 7, 8, 8, 8, 8, 6, 2, 2, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 5, 5, 3, 3, 3, 7, 8, 7, 9, 9, 11, 9, 2, 2, 5, 7, 7, 10, 10, 10, 10, 8, 8, 11, 10, 10, 11, 9, 7, 9, 9, 7, 8, 11, 11, 2, 2, 5, 6, 6, 5, 6, 5, 2, 2, 5, 7, 7, 9, 9, 9, 7, 9, 9, 7, 8, 11, 11, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 4, 4, 3, 3, 5, 7, 6, 7, 5, 3, 3, 7, 11, 11, 13, 12, 12, 13, 11, 9, 9, 11, 8, 8, 10, 11, 10, 2, 2, 5, 7, 7, 9, 9, 9, 9, 7, 9, 9, 7, 8, 11, 11, 2, 2, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 5, 6, 5, 3, 3, 7, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 7, 9, 9, 9, 9, 7, 8, 9, 8, 7, 9, 9, 9, 9, 7, 9, 9, 3, 3, 4, 4, 4, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 3, 3, 3, 3, 3, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 10, 10, 2, 10, 10, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 2, 1, 4, 4, 0, 0, 4, 4, 5, 5, 5, 0, 2, 0, 2, 2, 5, 5, 5, 0, 2, 1, 0, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 5, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 10, 1, 1, 10, 10, 1, 0, 1, 2, 1, 10, 10, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 2, 4, 4, 12, 12, 12, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 12, 12, 1, 1, 1, 0, 11, 11, 0, 0, 1, 1, 1, 1, 11, 11, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 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 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5741, 203, 1270, 44, 284, 1188, 345, 15762, 2051, 203, 7343, 29986, 44, 284, 345, 15762, 2051, 280, 1665, 203, 465, 11259, 203, 465, 2919, 2208, 203, 465, 2322, 203, 465, 5624, 203, 465, 787, 1909, 203, 465, 1671, 203, 465, 16539, 203, 465, 5237, 203, 1270, 44, 284, 1188, 5615, 3945, 203, 7343, 29986, 44, 284, 5615, 3945, 280, 1665, 203, 1270, 44, 284, 1188, 34896, 203, 7343, 29986, 44, 284, 34896, 280, 1665, 203, 465, 18792, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 1459, 81, 452, 81, 4466, 26, 878, 711, 284, 17120, 280, 11259, 32, 371, 1536, 6921, 8532, 35, 79, 556, 313, 3310, 31, 42, 20, 284, 1596, 44, 291, 1459, 26, 878, 32, 4434, 26, 1325, 30, 3878, 347, 29022, 3227, 2131, 284, 2940, 308, 10136, 924, 30, 23174, 10807, 924, 711, 291, 1459, 26, 878, 32, 4434, 440, 14510, 392, 3878, 347, 29022, 3227, 2131, 203, 589, 10719, 81, 14548, 2262, 284, 1769, 81, 1644, 280, 225, 42, 34, 284, 1769, 81, 4756, 81, 2705, 280, 225, 42, 34, 284, 6090, 280, 622, 81, 16914, 81, 891, 8532, 34, 79, 284, 415, 6090, 44, 291, 1769, 81, 1644, 280, 6090, 284, 4550, 280, 2919, 2208, 32, 13491, 318, 9030, 8736, 26, 1644, 47, 1449, 81, 1644, 30, 11244, 1769, 81, 4756, 81, 2705, 47, 1449, 81, 4756, 81, 2705, 27, 284, 442, 4550, 203, 589, 622, 81, 16914, 81, 891, 2262, 284, 1550, 81, 500, 280, 5624, 32, 2946, 346, 284, 8825, 81, 2204, 280, 1665, 284, 415, 1550, 81, 500, 610, 1044, 25, 2839, 950, 291, 8825, 81, 2204, 280, 617, 371, 81, 16914, 81, 891, 81, 5910, 346, 291, 415, 8825, 81, 2204, 438, 1665, 44, 324, 8825, 81, 2204, 280, 617, 371, 81, 16914, 81, 891, 81, 491, 303, 346, 284, 415, 1550, 81, 500, 328, 428, 103, 25, 12183, 370, 1044, 25, 35105, 4463, 785, 556, 1550, 81, 500, 32, 15990, 463, 12721, 57, 7638, 7831, 291, 8825, 81, 2204, 280, 617, 371, 81, 16914, 81, 891, 81, 4783, 346, 284, 415, 8825, 81, 2204, 438, 1665, 44, 291, 1245, 32, 2811, 26, 103, 20, 1536, 657, 291, 8825, 81, 2204, 280, 308, 42, 34, 30, 225, 36, 39, 27, 958, 284, 442, 8825, 81, 2204, 203, 589, 617, 371, 81, 16914, 81, 891, 81, 5910, 2262, 284, 1596, 44, 291, 645, 26015, 1188, 23105, 611, 30, 1487, 81, 800, 81, 2668, 291, 420, 280, 23105, 611, 32, 6474, 37, 36, 32, 936, 10686, 3297, 3736, 35, 36, 27, 291, 281, 5682, 91, 280, 1487, 81, 800, 81, 2668, 26, 36, 36, 27, 291, 736, 280, 23105, 611, 32, 6474, 37, 36, 32, 936, 7633, 4615, 2013, 1120, 26, 90, 30, 281, 5682, 91, 27, 291, 415, 736, 44, 324, 308, 1954, 106, 30, 4845, 107, 30, 2738, 106, 30, 2738, 107, 30, 341, 2437, 30, 1802, 2841, 30, 2663, 30, 2091, 30, 6822, 30, 1802, 1769, 106, 30, 1769, 107, 27, 280, 1671, 32, 15404, 440, 10429 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 5, 5, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 8, 9, 9, 9, 8, 7, 6, 5, 5, 7, 7, 7, 7, 2, 2, 3, 3, 3, 7, 10, 9, 10, 9, 10, 9, 9, 10, 12, 12, 12, 3, 3, 4, 6, 6, 5, 5, 6, 6, 5, 4, 4, 8, 11, 10, 11, 10, 12, 12, 10, 11, 13, 13, 13, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 2, 2, 4, 4, 7, 7, 7, 7, 7, 6, 5, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 2, 2, 4, 4, 7, 6, 7, 7, 7, 7, 6, 8, 7, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 5, 5, 4, 4, 6, 6, 6, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 6, 6, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 5, 4, 4, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 8, 8, 7, 2, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 5, 5, 5, 7, 5, 5, 7, 7, 7, 7, 4, 4, 6, 6, 10, 9, 10, 10, 10, 8, 9, 9, 9, 8, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 9, 9, 8, 4, 4, 6, 6, 10, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 5, 5, 5, 5, 10, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 9, 10, 9, 8, 8, 10, 11, 10, 12 ]
[ 0, 0, 0, 0, 0, 0, 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, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 11, 11, 0, 0, 11, 3, 3, 3, 3, 3, 0, 0, 0, 0, 12, 12, 12, 12, 0, 12, 3, 3, 3, 3, 3, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 15, 15, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1, 0, 0, 2, 1, 1, 2, 1, 3, 1, 1, 2, 0, 16, 16, 1, 1, 2, 16, 16, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 1, 4, 4, 5, 0, 17, 17, 1, 1, 1, 1, 2, 17, 17, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 3, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 4, 0, 0, 1, 1, 4, 4, 4, 0, 2, 1, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 4, 4, 4, 5, 1, 1, 0, 18, 18, 1, 1, 1, 1, 1, 1, 1, 2, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 2, 2, 4, 4, 4, 4, 1, 1, 0, 0, 3, 0, 0, 5, 0, 0, 7, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 0, 21, 0, 0, 0, 0, 2, 1, 1 ]
[ 465, 5741, 203, 1070, 296, 39, 81, 1152, 573, 32, 3142, 1188, 6287, 203, 1070, 296, 39, 81, 1152, 573, 32, 2304, 32, 4351, 81, 4116, 1188, 13316, 81, 2468, 81, 1793, 81, 4351, 81, 4116, 203, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 9803, 26, 2291, 711, 284, 4308, 280, 5436, 26, 426, 47, 2521, 30, 6998, 47, 2521, 27, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 1244, 81, 4351, 81, 4116, 30, 1115, 605, 711, 291, 2599, 26, 3157, 30, 630, 14585, 1664, 3207, 426, 30, 9778, 47, 2521, 27, 291, 6998, 280, 706, 32, 371, 463, 7986, 370, 1665, 27, 291, 630, 1114, 605, 710, 7986, 785, 280, 13316, 81, 2468, 81, 1793, 81, 4351, 81, 4116, 26, 324, 6998, 30, 1244, 81, 4351, 81, 4116, 5594, 34, 79, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 646, 6937, 26, 2455, 30, 9803, 711, 324, 442, 3177, 291, 442, 2599, 26, 3157, 30, 630, 14585, 3685, 3207, 2455, 27, 284, 665, 617, 3423, 81, 983, 26, 784, 30, 6524, 639, 711, 291, 3636, 22210, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 4, 3, 3, 9, 10, 9, 9, 9, 8, 8, 8, 7, 7, 8, 9, 7, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 8, 9, 7, 9, 9, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 9, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 8, 5, 5, 7, 4, 4, 5, 9, 10, 9, 9, 9, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 4, 4, 2, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 3738, 1188, 1709, 620, 203, 465, 11685, 203, 1070, 8527, 32, 12023, 32, 1286, 2516, 32, 3378, 1188, 38718, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 1188, 8513, 23468, 1176, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 4018, 1188, 10702, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 1217, 1188, 6645, 885, 203, 465, 8527, 203, 823, 34274, 723, 1625, 885, 26, 1625, 885, 711, 284, 665, 2192, 81, 1113, 4820, 26, 784, 30, 319, 1113, 4820, 711, 291, 415, 646, 36680, 44, 324, 36680, 280, 428, 2808, 32, 869, 81, 426, 436, 1875, 328, 630, 32, 1160, 1114, 2859, 32, 371, 81, 464, 81, 10513, 81, 5740, 346, 3775, 415, 6937, 26, 2808, 32, 1495, 30, 8513, 23468, 1176, 27, 3775, 461, 438, 39288, 26, 2808, 32, 1495, 32, 1160, 30, 630, 32, 1160, 2177, 291, 537, 81, 11790, 280, 630, 32, 1613, 81, 10513, 2740, 1113, 4820, 27, 291, 537, 81, 11790, 32, 1113, 4820, 280, 36680, 291, 442, 537, 81, 11790, 284, 665, 617, 6358, 26, 784, 30, 11595, 47, 2521, 30, 4705, 47, 2700, 30, 1115, 5321, 711, 291, 436, 636, 328, 2107, 1113, 4820, 370, 7610, 43326, 12132, 324, 415, 19326, 26, 784, 30, 636, 711, 400, 10306, 77, 426, 79, 280, 18623, 26, 784, 30, 636, 27, 291, 442, 2599, 26, 39631, 1625, 885, 30, 630, 42690, 6358, 26, 23321, 30, 4705, 30, 1115, 5321, 27, 284, 665, 40032, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2678, 470, 280, 2599, 26, 39631, 1625, 885, 30, 630, 547, 31296, 2740, 1132, 30, 1115, 5321, 27, 291, 2678, 470, 1114, 43326, 280, 428, 83, 32, 1536, 81, 7909, 436, 312, 328, 2181, 79, 474, 10306, 32, 3494, 346, 291, 442, 2678, 470, 284, 665, 622, 81, 39288, 26, 784, 30, 2830, 711, 291, 665, 622, 81, 4890, 26, 2067, 30, 309, 711, 324, 1596, 44, 400, 442, 18623, 26, 2067, 30, 101, 30, 3177, 27, 324, 2940, 2830, 3667, 823, 9818, 34747, 44, 400, 442, 3177, 291, 415, 8527, 32, 4530, 77, 34, 44, 36, 79, 333, 308, 35, 30, 225, 39, 711, 324, 1361, 81, 2067, 280, 428, 32110, 26, 2067, 30, 309, 27, 436, 309, 328, 630, 32, 1113, 4820, 415, 18623, 26, 2067, 30, 309, 2177, 556, 428, 2067, 79, 291, 813, 44, 324, 1361, 81, 2067, 280, 428, 32110, 26, 2067, 30, 309, 27, 436, 309, 328, 630, 32, 1113, 4820, 415, 622, 81, 4890, 26, 2067, 30, 309, 2177, 556, 428, 2067, 79, 291, 442, 1361, 81, 2067, 77, 34, 79, 284, 665, 10032, 26, 784, 711, 291, 3850, 280, 2599, 26, 39631, 1625, 885, 30, 630, 547, 5162, 346, 291, 415, 18623, 26, 784, 30, 330, 1113, 4820, 370, 3177, 711, 324, 436, 2830, 328, 3850, 44, 400, 1361, 81, 2067, 280, 630, 32, 371, 81, 39288, 26, 2067, 27, 400, 415, 18623, 26, 784, 30, 7610, 43326, 370, 3177, 711, 528, 436, 831, 328, 630, 1114, 43326, 44, 715, 39506, 26, 1113, 81, 2067, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 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, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 6, 6, 4, 3, 3, 5, 6, 5, 5, 5, 8, 8, 11, 10, 11, 11, 11, 9, 10, 10, 10, 14, 15, 13, 14, 12, 13, 13, 13, 13, 13, 13, 13, 12, 9, 9, 10, 13, 15, 14, 15, 13, 13, 14, 14, 13, 11, 11, 11, 13, 13, 16, 15, 16, 14, 15, 13, 13, 14, 15, 13, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 8, 4, 4, 8, 8, 7, 8, 8, 6, 6, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 4, 3, 3, 5, 5, 5, 8, 8, 8, 6, 8, 8, 5, 5, 7, 9, 10, 9, 9, 9, 7, 7, 11, 12, 11, 10, 10, 12, 13, 12, 12, 12, 4, 4, 5, 9, 10, 10, 10, 9, 9, 9, 8, 7, 8, 7, 7, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 8, 10, 8, 8, 10, 8, 4, 4, 8, 7, 8, 6, 6, 10, 9, 10, 10, 10, 8, 9, 9, 9, 8, 7, 7, 9, 10, 9, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 6, 6, 6, 5, 5, 7, 7, 7, 9, 11, 12, 11, 12, 11, 11, 11, 7, 7, 8, 10, 11, 11, 10, 8, 8, 8, 10, 4, 4, 5, 8, 9, 7, 9, 8, 9, 7, 6, 6, 8, 7, 7, 8, 7, 5, 5, 9, 9, 8, 8, 12, 12, 13, 12, 12, 12, 10, 11, 11, 11, 12, 13, 13, 10, 11, 13, 14, 13, 13, 13, 9, 9, 11, 10, 5, 5, 6, 6, 6, 10, 10, 9, 9, 13, 13, 14, 13, 13, 13, 11, 12, 12, 12, 13, 14, 14, 11, 12, 14, 14, 14, 15, 14, 14, 14, 10, 10, 12, 11, 4, 4, 5, 7, 7, 6, 7, 6, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 8, 4, 4, 5, 7, 8, 7, 7, 9, 9, 9, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 11, 11, 10, 10, 12, 13, 13, 13, 12, 13, 12, 8, 8, 9, 11, 12, 11, 11, 13, 13, 11, 11, 9, 9, 11, 11, 11, 12, 13, 11, 11, 11, 15, 16, 16, 16, 15 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 1, 6, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 1, 8, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 7, 7, 0, 8, 8, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 0, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 0, 0, 4, 4, 3, 1, 1, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 3, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 4, 4, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 1, 1, 0, 0, 3, 0, 2, 2, 2, 3, 3, 3, 0, 4, 4, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 2, 0, 3, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 2, 0, 3, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 4, 2, 0, 0, 1, 2, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 3, 2, 0, 0, 0, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 7138, 203, 465, 5741, 203, 465, 2322, 203, 465, 15798, 203, 465, 1133, 203, 1070, 15306, 1867, 1188, 4549, 30, 4070, 30, 18966, 1867, 984, 203, 1070, 15306, 1867, 32, 11452, 1188, 18966, 1867, 11393, 984, 203, 1070, 15306, 1867, 32, 3378, 1188, 33897, 30, 4187, 1810, 619, 31260, 203, 1070, 15306, 1867, 32, 3378, 1188, 5025, 619, 3849, 203, 1070, 15306, 1867, 32, 3378, 1188, 475, 481, 1243, 203, 1070, 15306, 1867, 32, 18246, 32, 11215, 81, 2989, 1188, 25189, 7145, 203, 1070, 15306, 1867, 32, 18246, 32, 5371, 81, 2989, 1188, 43877, 7145, 203, 1070, 15306, 1867, 32, 18246, 32, 2958, 81, 2989, 1188, 4865, 7145, 203, 1070, 15306, 1867, 32, 5690, 81, 11176, 32, 11176, 32, 7489, 81, 5275, 81, 9059, 1188, 20462, 3842, 19735, 203, 1070, 15306, 1867, 32, 2304, 32, 1293, 1188, 5025, 203, 1070, 4395, 1188, 7841, 203, 1070, 46624, 81, 5609, 1191, 1188, 3395, 1191, 203, 1070, 3312, 32, 1262, 1188, 5895, 81, 31031, 81, 19856, 203, 5807, 81, 5241, 280, 7138, 32, 6665, 26, 36, 34, 35, 40, 30, 225, 35, 30, 225, 35, 27, 203, 3765, 81, 31031, 69, 81, 19856, 280, 2322, 32, 983, 32, 2524, 26, 284, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 35490, 4064, 761, 505, 3662, 330, 86, 1414, 683, 203, 823, 475, 481, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 41042, 81, 1206, 81, 20058, 81, 297, 81, 2951, 81, 2665, 26, 784, 711, 291, 30075, 280, 4549, 32, 31031, 463, 858, 31, 22288, 683, 291, 630, 32, 5299, 26, 2665, 30, 827, 26, 22288, 32, 2132, 490, 291, 630, 32, 5299, 26, 34, 30, 2069, 26, 22288, 32, 2132, 490, 284, 665, 894, 81, 2132, 81, 20058, 81, 363, 81, 2132, 81, 266, 81, 1536, 81, 1132, 81, 1347, 81, 7106, 26, 784, 711, 291, 2803, 35, 280, 5053, 5609, 35, 950, 225, 35, 111, 291, 2803, 36, 280, 5053, 5609, 36, 950, 225, 36, 111, 291, 30075, 280, 4549, 32, 31031, 463, 858, 31, 22288, 370, 656, 1244, 81, 1132, 12516, 2132, 950, 2803, 35, 835, 656, 2803, 47, 2132, 36, 27, 291, 2803, 81, 25190, 280, 2803, 35, 32, 2991, 346, 291, 2803, 81, 25190, 32, 1877, 26, 2132, 36, 27, 291, 630, 32, 5299, 26, 2132, 81, 25190, 30, 30075, 32, 2132, 27, 284, 665, 894, 81, 22288, 81, 302, 81, 1819, 81, 4018, 26, 784, 711, 291, 30075, 280, 33897, 26, 324, 330, 22288, 370, 324, 1477, 81, 770, 47, 5807, 81, 5241, 30, 324, 1244, 81, 1132, 12516, 5632, 950, 330, 5632, 35, 18143, 291, 30075, 36, 280, 33897, 26, 324, 330, 22288, 36, 370, 324, 1477, 81, 770, 47, 5807, 81, 5241, 30, 324, 1244, 81, 1132, 12516, 5632, 950, 330, 5632, 36, 18143, 291, 623, 30075, 44, 324, 3089, 35, 280, 25189, 7145, 26, 2795, 81, 314, 1057 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 4, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 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, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 8, 4, 6, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 7, 8, 7, 7, 9, 11, 10, 11, 9, 4, 4, 7, 8, 7, 8, 7, 7, 9, 11, 10, 11, 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, 6, 6, 10, 10, 10, 8, 9, 7, 4, 4, 7, 6, 6, 10, 10, 10, 8, 9, 7, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 10, 10, 9, 13, 13, 11, 12, 10, 8, 8, 9, 10, 10, 8, 4, 4, 7, 7, 6, 6, 9, 8, 9, 8, 4, 4, 8, 8, 7, 8, 7, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 13, 13, 11, 13, 13, 13, 4, 4, 7, 6, 6, 8, 8, 8, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 13, 13, 11, 13, 13, 13, 4, 4, 5, 5, 5, 5, 9, 8, 8, 10, 10, 12, 12, 12, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 0, 11, 11, 0, 1, 2, 11, 11, 11, 11, 0, 5, 5, 0, 12, 12, 0, 1, 2, 12, 12, 3, 3, 0, 13, 13, 0, 1, 2, 13, 13, 0, 0, 0, 14, 14, 0, 1, 2, 1, 4, 4, 4, 14, 14, 0, 0, 15, 15, 0, 1, 2, 1, 4, 4, 4, 15, 15, 0, 0, 16, 16, 0, 1, 2, 1, 4, 4, 4, 16, 16, 0, 0, 17, 17, 0, 1, 2, 2, 2, 1, 4, 1, 6, 6, 6, 6, 6, 17, 17, 0, 0, 0, 18, 18, 0, 1, 2, 1, 4, 18, 18, 0, 19, 19, 19, 19, 0, 20, 20, 0, 0, 0, 20, 20, 0, 0, 21, 21, 1, 2, 21, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 24, 24, 1, 1, 2, 0, 1, 2, 2, 24, 24, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 1, 1, 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, 1, 1, 2, 1, 2, 2, 4, 4, 0, 0, 0, 1, 1, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 2, 1, 2, 2, 1, 1, 5, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 2, 1, 1, 1, 2, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1 ]
[ 1070, 345, 747, 1153, 290, 32, 36287, 1188, 1672, 81, 3169, 203, 1070, 11550, 32, 8132, 32451, 32, 28497, 1188, 20217, 81, 3648, 203, 1070, 11550, 32, 7878, 32, 8538, 1188, 23942, 5500, 13515, 41322, 9172, 444, 85, 19606, 1241, 203, 1070, 11550, 32, 7878, 32, 3378, 1188, 23942, 5500, 13515, 41322, 9172, 444, 85, 19606, 203, 1070, 11550, 32, 7878, 32, 8538, 1188, 23942, 5500, 13515, 41322, 1045, 41945, 1241, 203, 1070, 11550, 32, 7878, 32, 3378, 1188, 23942, 5500, 13515, 41322, 1045, 41945, 203, 1070, 11550, 32, 7878, 32, 8538, 1188, 23942, 5500, 13515, 41322, 4814, 51, 338, 5285, 1241, 203, 1070, 11550, 32, 7878, 32, 3378, 1188, 23942, 5500, 13515, 41322, 4814, 51, 338, 5285, 203, 50, 21114, 81, 3648, 463, 8132, 81, 7878, 683, 203, 589, 1650, 26, 1357, 711, 334, 442, 1672, 81, 3169, 26, 1357, 30, 330, 7878, 33, 1055, 32, 916, 683, 203, 50, 21114, 81, 3648, 463, 8132, 81, 7878, 683, 203, 589, 41726, 81, 2594, 41322, 81, 445, 444, 85, 19606, 26, 1357, 711, 334, 2313, 41322, 81, 1163, 280, 23942, 5500, 13515, 41322, 9172, 444, 85, 19606, 32, 371, 81, 2386, 346, 334, 415, 1326, 32, 1959, 610, 330, 3705, 950, 284, 2234, 280, 23942, 5500, 13515, 41322, 9172, 444, 85, 19606, 1241, 26, 1357, 32, 3705, 30, 1980, 47, 2594, 41322, 81, 1163, 27, 284, 415, 2234, 32, 297, 81, 1327, 2262, 397, 2234, 32, 2853, 346, 397, 1326, 32, 470, 81, 9237, 463, 3127, 370, 330, 25458, 16314, 5184, 3809, 12001, 11834, 284, 813, 44, 397, 1326, 32, 470, 81, 9237, 463, 5691, 370, 330, 65, 1537, 344, 2096, 707, 1048, 16314, 5888, 6957, 14020, 11834, 334, 813, 44, 397, 2234, 280, 23942, 5500, 13515, 41322, 9172, 444, 85, 19606, 1241, 26, 2386, 47, 2594, 41322, 81, 1163, 27, 334, 442, 1672, 81, 3169, 26, 1357, 30, 330, 7878, 33, 2594, 41322, 81, 445, 444, 85, 19606, 32, 916, 370, 301, 397, 330, 599, 950, 2234, 30, 334, 1790, 203, 50, 21114, 81, 3648, 463, 8132, 81, 7878, 683, 203, 589, 41726, 81, 2594, 41322, 81, 278, 41945, 26, 1357, 711, 334, 2313, 41322, 81, 1163, 280, 23942, 5500, 13515, 41322, 1045, 41945, 32, 371, 81, 2386, 346, 334, 415, 1326, 32, 1959, 610, 330, 3705, 950, 284, 2234, 280, 23942, 5500, 13515, 41322, 1045, 41945, 1241, 26, 1357, 32, 3705, 30, 1980, 47, 2594, 41322, 81, 1163, 27, 284, 415, 2234, 32, 297, 81, 1327, 2262, 397, 2234, 32, 2853, 346, 397, 1326, 32, 470, 81, 9237, 463, 3127, 370, 330, 25458, 16314, 5184, 3809, 12001, 11834, 284, 813, 44, 397, 1326, 32, 470, 81, 9237, 463, 5691, 370, 330, 65, 1537, 344, 2096, 707, 1048, 16314, 5888, 6957, 14020, 11834, 334, 813, 44, 397, 2234, 280, 23942, 5500, 13515, 41322, 1045, 41945, 1241, 26, 2386, 47, 2594, 41322, 81, 1163, 27, 334, 442, 1672, 81, 3169, 26, 1357, 30, 330, 7878, 33, 2594, 41322, 81, 278, 41945, 32, 916, 370, 301, 397, 330, 599, 950, 2234, 30, 334, 1790, 203, 50, 21114, 81, 3648, 463, 8132, 81, 7878 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 4, 3, 2, 2, 4, 6, 6, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 3, 3, 4, 6, 7, 5, 5, 7, 7, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 9, 9, 10, 11, 11, 11, 11, 9, 5, 5, 6, 8, 9, 9, 9, 8, 6, 6, 10, 11, 10, 7, 7, 10, 11, 11, 11, 10, 12, 12, 10, 12, 12, 12, 12, 12, 12, 6, 6, 7, 7, 7, 11, 12, 12, 12, 11, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 4, 5, 5, 5, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 11, 12, 12, 12, 12, 10, 3, 4, 6, 6, 6, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 9, 7, 7, 6, 0, 2, 4, 4, 4, 6, 6, 6, 6, 4, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 3, 4, 7, 6, 7, 5, 7, 7, 4, 4, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 9, 11, 10, 11, 11, 11, 11, 9, 5, 6, 9, 8, 9, 9, 9, 6, 6, 11, 10, 11, 10, 7, 11, 10, 11, 11, 11, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 6, 7, 7, 7, 12, 11, 12, 12, 12, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 4, 5, 5, 5, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 3, 4, 6, 6, 6, 6, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 9, 9, 7, 7, 6, 0, 4, 4, 4, 4, 6, 6 ]
[ 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 8, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 2, 1, 3, 3, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 4, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 1, 1, 2, 5, 5, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 3, 2, 2, 2, 2, 1, 3, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 3, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 2, 2, 2, 5, 5, 1, 0, 0, 0, 0, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 465, 6436, 619, 2065, 203, 465, 2322, 203, 465, 19571, 203, 465, 12460, 203, 465, 4361, 203, 1070, 3001, 893, 32, 716, 1188, 3960, 850, 203, 1070, 13134, 32, 10495, 81, 6460, 1188, 5683, 81, 858, 81, 2998, 203, 5613, 81, 1515, 280, 9897, 605, 33, 7088, 20, 203, 589, 2454, 2262, 284, 273, 1069, 280, 12460, 32, 13285, 26, 5613, 81, 1515, 5667, 1109, 1508, 32, 3072, 657, 284, 31352, 81, 36, 280, 12460, 32, 13285, 26, 5613, 81, 1515, 5667, 1109, 1870, 32, 3072, 657, 284, 31352, 280, 2065, 32, 3855, 32, 11447, 26, 25257, 81, 36, 30, 35, 34, 34, 34, 34, 27, 284, 5703, 81, 34825, 280, 3813, 40375, 26, 106, 2177, 436, 816, 328, 273, 1069, 79, 284, 5703, 81, 25257, 280, 3813, 40375, 26, 106, 2177, 436, 816, 328, 31352, 79, 284, 6492, 280, 2065, 32, 26442, 1162, 2356, 32, 5783, 1162, 1657, 26, 2242, 81, 34825, 20092, 2356, 32, 9880, 1162, 1657, 26, 2242, 81, 25257, 7748, 547, 15315, 440, 37928, 657, 284, 5703, 280, 2065, 32, 26442, 1162, 2242, 81, 34825, 30, 2242, 81, 25257, 3427, 15315, 440, 1808, 37, 36, 657, 284, 5683, 81, 74, 30, 894, 81, 74, 30, 5683, 81, 107, 30, 894, 81, 107, 280, 5683, 81, 858, 81, 2998, 26, 2242, 30, 5919, 30, 894, 81, 891, 47, 34, 32, 38, 30, 3995, 81, 1293, 47, 35, 37, 37, 41, 27, 284, 11214, 280, 225, 34, 32, 39, 28, 1657, 26, 858, 81, 74, 27, 284, 909, 81, 74, 280, 894, 81, 74, 2867, 10894, 79, 284, 909, 81, 107, 280, 894, 81, 107, 2867, 10894, 79, 284, 894, 81, 74, 280, 894, 81, 74, 77, 10894, 10056, 284, 894, 81, 107, 280, 894, 81, 107, 77, 10894, 10056, 284, 2266, 81, 452, 81, 4243, 280, 301, 34, 1924, 1870, 392, 35, 1924, 1508, 3612, 284, 442, 5683, 81, 74, 30, 5683, 81, 107, 30, 909, 81, 74, 30, 909, 81, 107, 30, 894, 81, 74, 30, 894, 81, 107, 30, 2266, 81, 452, 81, 4243, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 1, 1, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 9, 9, 9, 9, 9, 2, 2, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 8, 8, 9, 8, 5, 6, 6, 6, 7, 5, 2, 2, 5, 5, 4, 4, 8, 8, 9, 8, 5, 6, 6, 6, 5, 2, 2, 4, 4, 8, 9, 8, 12, 11, 12, 11, 14, 14, 15, 15, 15, 14, 12, 11, 12, 11, 14, 14, 15, 15, 15, 14, 8, 7, 6, 8, 8, 2, 2, 4, 4, 8, 9, 8, 10, 10, 10, 9, 10, 10, 10, 9, 7, 6, 8, 8, 8, 8, 2, 2, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 4, 4, 6, 6, 6, 6, 6, 7, 6, 7, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 8, 8, 7, 8, 8, 8, 8, 6, 2, 2, 4, 4, 6, 6, 6, 5, 7, 7, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 6, 6, 5, 7, 5, 2, 2, 5, 5, 4, 4, 6, 6, 5, 7, 5, 2, 2, 5, 5, 4, 4, 6, 6, 5, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 5, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 8, 8, 7, 6, 8, 8, 2, 2, 3, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 9, 9, 2, 9, 9, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 0, 0, 7, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 3, 1, 2, 4, 4, 14, 0, 0, 1, 1, 2, 2, 1, 1, 4, 4, 1, 1, 6, 6, 1, 1, 8, 8, 1, 1, 10, 10, 1, 1, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 3995, 203, 465, 1133, 203, 465, 5237, 203, 465, 2322, 203, 465, 316, 203, 3731, 32, 983, 32, 1689, 26, 284, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 2322, 32, 983, 32, 568, 1515, 2610, 203, 465, 8745, 203, 589, 3066, 81, 893, 26, 893, 711, 284, 1188, 1133, 284, 1133, 32, 7840, 26, 35, 34, 27, 284, 2322, 32, 2546, 26, 893, 27, 203, 589, 2604, 81, 6008, 26, 2142, 81, 916, 711, 284, 1344, 280, 2604, 81, 916, 32, 878, 284, 1344, 280, 1344, 32, 38848, 463, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 11834, 284, 1344, 280, 1344, 32, 3227, 440, 5233, 37, 43, 13959, 2706, 25, 1895, 7201, 346, 284, 442, 1344, 203, 589, 622, 81, 893, 81, 11788, 14605, 5321, 711, 284, 415, 10306, 32, 371, 463, 3985, 5703, 7831, 291, 10475, 81, 426, 280, 10306, 32, 371, 463, 3985, 5703, 683, 291, 1654, 81, 7676, 280, 2156, 26, 2760, 81, 426, 30, 330, 100, 1814, 850, 922, 2998, 4446, 346, 284, 813, 44, 291, 10475, 81, 426, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 33115, 1026, 313, 10562, 10061, 713, 34655, 301, 34, 4009, 2760, 2296, 1643, 26, 13687, 10306, 710, 2195, 636, 7698, 291, 1596, 44, 324, 1654, 81, 7676, 280, 2156, 26, 2760, 81, 426, 30, 330, 100, 1814, 850, 922, 2998, 4446, 346, 291, 2940, 44, 324, 415, 646, 2322, 32, 983, 32, 4658, 26, 2760, 81, 426, 711, 400, 1459, 440, 11162, 96, 1330, 2290, 1346, 1654, 7324, 19, 19682, 312, 16988, 70, 15981, 400, 1459, 440, 885, 561, 372, 3491, 96, 109, 34, 16054, 1643, 26, 2760, 81, 426, 490, 400, 1654, 81, 7676, 280, 1605, 324, 813, 44, 400, 1654, 81, 7676, 280, 2156, 26, 2760, 81, 426, 30, 330, 100, 1814, 850, 922, 2998, 4446, 346, 284, 415, 10306, 32, 371, 463, 38890, 1938, 7831, 291, 3857, 81, 1637, 280, 629, 26, 5321, 32, 371, 463, 38890, 1938, 2847, 284, 813, 44, 291, 3857, 81, 1637, 280, 225, 39, 34, 284, 8855, 81, 5646, 280, 428, 4363, 81, 1637, 79, 284, 11078, 81, 761, 280, 1665, 284, 1596, 81, 998, 280, 225, 34, 284, 7461, 81, 1637, 280, 225, 34, 284, 1938, 280, 225, 34, 284, 816, 280, 1665, 284, 1289, 81, 2242, 280, 3177, 284, 1984, 81, 1366, 280, 313, 525, 555, 4770, 713, 34655, 32, 1088, 20, 284, 1984, 81, 1903, 280, 313, 525, 555, 4770, 713, 34655, 32, 1088, 33, 1055, 32, 1317, 49, 1637, 47, 1526, 24, 101, 47, 668, 24, 3963, 347, 284, 415, 8745, 32, 297, 81, 2420, 26, 5321, 32, 371, 463, 3615, 41095, 291, 11078, 81, 761, 280, 6910, 4770, 713, 34655, 32, 2760, 20, 291, 1984, 81, 3615, 280, 1984, 81, 1366, 474, 2430, 1055, 32, 1317, 49, 1637, 47, 3524, 24, 101, 47, 3615, 24, 687, 47, 34, 34, 20, 291, 2234, 81, 1516, 280, 225, 34, 291, 2234, 81, 496, 280, 313, 496, 20, 291, 2234, 81, 2895, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 3, 3, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 7, 9, 10, 8, 9, 9, 7, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 2, 2, 5, 6, 5, 6, 6, 5, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 5, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 8, 9, 8, 10, 10, 10, 10, 8, 11, 10, 7, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 2, 1, 1, 3, 5, 6, 5, 7, 7, 7, 3, 3, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 4, 4, 7, 7, 6, 6, 12, 13, 13, 13, 12, 12, 14, 14, 11, 10, 9, 9, 8, 3, 3, 4, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 9, 12, 11, 12, 11, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 11, 11, 12, 14, 14, 14, 5, 5, 6, 6, 6, 10, 10, 9, 9, 15, 16, 16, 16, 15, 15, 17, 17, 14, 13, 12, 12, 11, 6, 6, 7, 7, 7, 9, 10, 13, 14, 12, 13, 12, 13, 13, 13, 12, 9, 9, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 10, 10, 13, 17, 17, 17, 17, 18, 17, 17, 17, 16, 15, 16, 16, 16, 15, 10, 10, 13, 13, 12, 12, 9, 9, 10, 10, 10, 14, 14, 13, 13, 19, 20, 20, 20, 19, 19, 21, 21, 18, 17, 16, 16, 15, 2, 2, 3, 5, 6, 5, 7, 7, 7, 3, 3, 7, 7, 6, 6, 8, 11, 10, 11, 10, 12, 12, 12, 3, 3, 4, 4, 4, 8, 8, 7, 7, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 4, 4, 5, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 5, 6, 6, 6, 5, 8, 7, 8, 7, 9, 9, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 7, 4, 4, 7, 7, 6, 6, 8, 8, 4, 4, 7, 7, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 1, 0, 6, 6, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 8, 8, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 4, 4, 3, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 3, 3, 3, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 11, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 11, 11, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0 ]
[ 9592, 2272, 2297, 18053, 322, 11875, 436, 322, 354, 14295, 3172, 1123, 32, 203, 8309, 438, 1591, 10140, 6765, 2202, 436, 322, 9449, 1123, 619, 4487, 619, 9355, 30, 1487, 1974, 461, 3066, 11875, 436, 3282, 4549, 44, 203, 28, 499, 823, 27214, 7068, 1199, 32, 12451, 265, 3172, 32, 3378, 32, 43081, 11265, 82, 203, 28, 499, 823, 27214, 7068, 1199, 32, 12451, 265, 3172, 32, 3378, 32, 43081, 5356, 82, 203, 28, 499, 823, 27214, 7068, 1199, 32, 12451, 265, 3172, 32, 3378, 32, 43081, 70, 26948, 82, 203, 9592, 203, 1070, 8527, 32, 4338, 32, 9947, 32, 1439, 1188, 10838, 1074, 203, 1070, 8527, 32, 4338, 32, 9947, 32, 5110, 1188, 23487, 1074, 203, 1070, 8527, 32, 4338, 32, 9947, 32, 3176, 1188, 2648, 1074, 30, 4000, 1074, 30, 6788, 1074, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 81, 10629, 203, 1070, 3203, 2557, 32, 4338, 1188, 10653, 5413, 13976, 30, 11123, 5413, 13976, 203, 1070, 8459, 1199, 32, 12451, 265, 3172, 32, 3378, 1188, 46121, 11265, 30, 43081, 5356, 30, 43081, 70, 26948, 203, 823, 676, 14295, 3172, 4625, 26, 5324, 5413, 13976, 30, 10838, 1074, 711, 284, 5881, 2272, 2202, 438, 322, 2575, 1938, 436, 322, 354, 14295, 3172, 1123, 32, 284, 1348, 2202, 4304, 7324, 372, 1169, 40210, 5654, 30, 5479, 461, 17562, 1728, 32, 284, 1670, 458, 16649, 5133, 707, 105, 684, 107, 2288, 1133, 30, 561, 4796, 526, 7506, 372, 2723, 40210, 81, 4476, 372, 322, 4630, 8289, 7002, 48256, 284, 3079, 81, 426, 280, 313, 12451, 265, 3172, 81, 2833, 32, 916, 20, 284, 665, 622, 81, 1819, 81, 605, 26, 784, 30, 1115, 5321, 711, 291, 5881, 34048, 372, 322, 1619, 1169, 5654, 30, 5479, 461, 17562, 1728, 48256, 291, 1619, 280, 2599, 26, 72, 14295, 3172, 4625, 30, 630, 547, 371, 81, 1819, 81, 605, 14605, 5321, 27, 291, 1619, 710, 38956, 81, 4476, 785, 280, 46121, 11265, 32, 5740, 32, 464, 346, 291, 1619, 710, 38956, 81, 8425, 785, 280, 46121, 5356, 32, 5740, 32, 464, 346, 291, 1619, 710, 38956, 81, 102, 4827, 1728, 785, 280, 46121, 70, 26948, 32, 5740, 32, 464, 346, 2071, 291, 442, 1619, 203, 823, 46121, 11265, 5287, 26, 5324, 5413, 13976, 30, 23487, 1074, 711, 284, 5881, 2272, 2202, 438, 436, 4245, 432, 312, 8409, 499, 823, 27214, 7068, 1199, 32, 12451, 265, 3172, 32, 43081, 11265, 2541, 284, 2030, 18200, 600, 1300, 1115, 38956, 81, 7092, 326, 1412, 322, 1984, 12564, 12451, 265, 3172, 33, 38956, 31, 7092, 14617, 3174, 21855, 326, 438, 8843, 48256, 284, 1542, 280, 46121, 11265, 284, 1619, 81, 1473, 81, 426, 280, 330, 38956, 81, 7092, 25, 284, 3079, 81, 426, 280, 330, 38956, 81, 7092, 81, 5110, 32, 916, 25, 203, 823, 46121, 11265, 1922, 26, 7040, 5413, 13976, 30, 2648, 1074, 711, 284, 5881, 2272, 2202, 438, 436, 6892, 312, 537, 499, 823, 27214, 7068, 1199, 32, 12451, 265, 3172, 32, 43081, 11265, 2541, 284, 2030, 7171, 322, 4227, 372, 1487, 312, 537, 40210, 2427, 461, 438, 2431, 821, 322, 1984, 12564 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 1, 3, 3, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 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, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 10, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 10, 8, 4, 4, 7, 9, 9, 9, 9, 6, 6, 10, 9, 10, 8, 9, 8, 4, 4, 7, 9, 9, 9, 9, 6, 6, 10, 9, 10, 8, 9, 8, 4, 4, 7, 9, 9, 9, 9, 9, 9, 6, 6, 10, 10, 9, 10, 8, 9, 8, 4, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 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, 2, 2, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 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 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 2, 2, 1, 4, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 7, 7, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 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, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 4, 5, 0, 8, 8, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1133, 2671, 32, 1262, 1188, 4575, 30, 41903, 9000, 542, 203, 1070, 1133, 2671, 32, 1262, 32, 23125, 1188, 41621, 30, 439, 17412, 203, 1070, 1133, 2671, 32, 5558, 32, 5583, 286, 874, 32, 24550, 81, 1211, 520, 4605, 1188, 14095, 780, 3538, 520, 4605, 203, 1070, 1133, 2671, 32, 5558, 32, 5583, 286, 874, 32, 24550, 81, 11754, 775, 81, 17095, 1188, 14095, 8714, 282, 775, 12147, 203, 1070, 1133, 2671, 32, 1262, 32, 1001, 24715, 1188, 12872, 81, 8713, 203, 1070, 6436, 1188, 26684, 30, 5651, 30, 11220, 1166, 30, 1638, 887, 30, 1638, 1449, 30, 1417, 203, 1070, 6436, 32, 19351, 1188, 540, 19351, 203, 1070, 13625, 1188, 18609, 203, 823, 14095, 10995, 299, 299, 26, 17412, 711, 284, 4575, 26, 59, 17412, 27, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 3900, 10995, 299, 299, 30, 630, 14585, 1664, 16369, 291, 630, 32, 19277, 710, 24550, 81, 1211, 520, 4605, 785, 280, 14095, 780, 3538, 520, 4605, 346, 291, 630, 32, 19277, 710, 24550, 81, 11754, 775, 81, 17095, 785, 280, 14095, 8714, 282, 775, 12147, 346, 291, 630, 32, 349, 8367, 280, 225, 34, 32, 35, 39, 291, 630, 32, 349, 16245, 280, 225, 34, 32, 35, 284, 477, 1146, 88, 9000, 542, 284, 665, 4705, 26, 784, 30, 11022, 47, 2521, 30, 21404, 332, 47, 2521, 30, 2163, 891, 47, 2521, 30, 1090, 3380, 9433, 47, 2521, 711, 291, 2599, 26, 3900, 10995, 299, 299, 30, 630, 547, 5522, 26, 324, 11022, 30, 21404, 332, 30, 2163, 891, 30, 3380, 9433, 27, 284, 477, 16099, 284, 477, 1146, 88, 9000, 542, 284, 665, 804, 2262, 291, 442, 313, 24550, 81, 1738, 299, 20, 284, 477, 16099, 284, 477, 1146, 88, 9000, 542, 284, 665, 636, 2262, 291, 442, 313, 3900, 780, 27836, 2052, 13879, 20, 284, 477, 16099, 284, 477, 1146, 88, 9000, 542, 284, 665, 4201, 2262, 291, 442, 3330, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 313, 19534, 2052, 17136, 20, 284, 477, 9433, 81, 8713, 284, 665, 2164, 26, 784, 30, 12872, 30, 484, 431, 47, 2700, 711, 291, 442, 12872, 30, 484, 431, 284, 665, 2364, 81, 2416, 26, 784, 711, 291, 4562, 2052, 280, 630, 32, 19277, 710, 24550, 81, 11754, 775, 81, 17095, 5695, 4295, 710, 24550, 81, 11754, 775, 81, 17095, 4902, 605, 81, 1473, 785, 1365, 853, 1446, 291, 554, 280, 8594, 26, 4390, 2052, 77, 34, 997, 5459, 30, 1202, 47, 5962, 816, 44, 816, 32, 1003, 27, 291, 554, 81, 1744, 81, 3306, 280, 225, 35, 32, 34, 517, 1897, 26, 359, 77, 35, 997, 1003, 429, 554, 77, 34, 997, 1003, 27, 291, 22746, 280, 630, 32, 19277, 710, 24550, 81, 1211, 520, 4605, 5695, 4295, 710, 24550, 81, 1211, 520, 4605, 32, 20533, 4902, 605, 81, 1473, 785, 1365, 853, 1446, 291, 17136, 81, 1211, 520, 4605, 280, 630, 32, 19277, 710, 24550, 81, 1211, 520, 4605, 5695, 4295, 710, 24550, 81, 1211, 520, 4605, 32, 19978, 4902, 605, 81, 1473, 785, 291, 17136, 81, 1211, 520, 4605, 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, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 6, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 8, 9, 7, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 4, 4, 8, 9, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 7, 7, 2, 2, 5, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 5, 7, 6, 7, 5, 5, 7, 6, 7, 5, 5, 5, 7, 6, 7, 5, 4, 4, 10, 11, 11, 11, 11, 10, 10, 10, 9, 8, 8, 8, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 2, 2, 5, 3, 3, 5, 5, 5, 5, 3, 3, 4, 5, 4, 4, 6, 8, 8, 8, 8, 8, 2, 2, 5, 3, 3, 5, 5, 5, 5, 3, 3, 4, 5, 4, 4, 6, 8, 8, 8, 8, 8, 8, 2, 2, 5, 3, 3, 5, 5, 5, 5, 3, 3, 4, 5, 4, 4, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 2, 2, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 7, 6, 7, 5, 4, 4, 6, 7, 7, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 12, 13, 11, 13, 13, 13, 13, 13, 13, 13, 11, 9, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 7, 9, 9, 4, 4, 6, 6, 8, 11, 11, 10, 11, 10, 10, 8, 8, 9, 10, 10, 10, 10, 11, 12, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 8, 7, 7, 9, 13, 12, 13, 12, 12, 10, 10, 12, 13, 12, 12, 9, 4, 4, 6, 6, 12, 13, 11, 13, 13, 13, 13, 13, 13, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 7, 9, 9, 4, 4, 7, 7, 7, 7, 6, 6, 11, 12, 10, 12, 12, 12, 12, 12, 12, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 4, 4, 7, 7, 7, 7, 6 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 1, 6, 6, 6, 6, 6, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 1, 6, 6, 6, 6, 6, 6, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 7, 7, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 5, 2, 2, 2, 0, 7, 2, 2, 2, 2, 0, 9, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 4, 4, 1, 3, 3, 1, 1, 1, 1, 3, 3, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 4, 4, 1, 4, 4, 1, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 5, 5, 1, 1, 1, 1, 5, 5, 2, 2, 2, 2, 0, 4, 4, 6, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 7, 7, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 1, 1, 0, 1, 1, 2, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 3, 2, 2, 2, 2, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 505, 464, 505, 280, 2107, 14329, 370, 1481, 203, 465, 2361, 203, 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 465, 46438, 3192, 32, 1237, 619, 4125, 203, 465, 46438, 3192, 32, 731, 619, 1048, 203, 1070, 31863, 8524, 1188, 1044, 203, 823, 45627, 26, 1473, 711, 284, 477, 2433, 284, 665, 13047, 101, 26, 784, 711, 291, 442, 630, 3667, 31380, 284, 477, 2433, 284, 665, 11581, 26, 784, 711, 291, 442, 630, 3667, 9081, 284, 1156, 18645, 505, 280, 2107, 505, 1553, 81, 761, 81, 9081, 370, 11477, 9081, 370, 11477, 30035, 81, 10983, 370, 353, 11477, 16317, 81, 10983, 370, 11477, 31380, 370, 1481, 284, 665, 1156, 1664, 3207, 784, 30, 353, 10302, 81, 10983, 33792, 353, 14995, 81, 10983, 33792, 353, 1505, 81, 761, 81, 9081, 47, 2700, 30, 353, 13047, 101, 81, 1260, 47, 2521, 30, 353, 11581, 81, 1260, 47, 2521, 711, 291, 630, 3667, 30035, 81, 10983, 280, 739, 26, 30035, 81, 10983, 27, 291, 630, 3667, 16317, 81, 10983, 280, 739, 26, 16317, 81, 10983, 27, 291, 1201, 26, 1206, 308, 1206, 1505, 81, 761, 81, 9081, 461, 11581, 81, 1260, 3662, 766, 324, 313, 14256, 4102, 9081, 81, 1260, 572, 313, 766, 324, 313, 32434, 4102, 1553, 81, 761, 81, 9081, 572, 438, 901, 20, 291, 630, 3667, 1553, 81, 761, 81, 9081, 280, 1505, 81, 761, 81, 9081, 291, 623, 2156, 26, 31380, 81, 1260, 556, 4125, 32, 5807, 81, 44423, 69, 81, 3265, 27, 619, 296, 44, 324, 630, 3667, 31380, 280, 2361, 32, 944, 26, 88, 27, 324, 296, 32, 2679, 346, 291, 623, 2156, 26, 9081, 81, 1260, 556, 4125, 32, 5807, 81, 19814, 69, 81, 3265, 27, 619, 296, 44, 324, 630, 3667, 9081, 280, 2361, 32, 944, 26, 88, 27, 324, 296, 32, 2679, 346, 291, 3097, 10065, 665, 1156, 1851, 3207, 784, 30, 1326, 711, 291, 16277, 280, 4125, 32, 4277, 6052, 26, 1357, 27, 291, 415, 16277, 32, 13627, 646, 328, 2884, 525, 392, 313, 641, 392, 8063, 324, 442, 1665, 291, 415, 16277, 32, 1959, 646, 328, 2884, 2788, 392, 8063, 324, 442, 1665, 291, 1256, 81, 4867, 280, 16277, 32, 496, 81, 4867, 291, 4011, 81, 983, 280, 16277, 32, 983, 81, 11790, 291, 415, 646, 630, 1114, 4635, 81, 31380, 2262, 324, 3636, 1048, 32, 27007, 3192, 924, 26, 400, 313, 5999, 432, 4102, 31380, 572, 438, 5535, 657, 291, 5079, 81, 7920, 280, 1044, 35619, 1895, 2524, 26, 324, 428, 268, 32, 11731, 26, 13586, 27, 436, 20008, 328, 630, 32, 31380, 32, 371, 463, 3617, 370, 11544, 1130, 291, 415, 316, 32, 1903, 26, 3617, 81, 7920, 30, 1256, 81, 4867, 30, 316, 32, 59, 523, 316, 32, 71, 711, 324, 442, 1665, 291, 415, 630, 3667, 16317, 81, 10983, 44, 324, 2431, 280, 3177, 324, 436, 5543, 328, 630, 3667, 16317, 81, 10983, 44, 400, 5543, 81, 7920, 280, 1044, 26, 4351, 27, 400, 415, 316, 32, 1903, 26, 4351, 81, 7920, 30, 4011, 81, 983, 30, 316, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 7, 7, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 6, 6, 5, 4, 4, 6, 6, 5, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 7, 7, 10, 10, 11, 11, 11, 11, 9, 9, 10, 10, 8, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 5, 10, 12, 12, 12, 11, 11, 12, 13, 13, 13, 13, 13, 13, 10, 8, 8, 5, 5, 5, 9, 10, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 10, 9, 4, 4, 5, 10, 12, 12, 12, 11, 11, 12, 13, 13, 13, 13, 13, 13, 10, 8, 8, 5, 5, 5, 9, 10, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 10, 9, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 5, 7, 8, 6, 6, 6, 9, 9, 7, 9, 9, 7, 5, 5, 7, 4, 4, 5, 7, 8, 6, 6, 6, 9, 9, 7, 5, 5, 7, 4, 4, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 5, 6, 8, 9, 9, 9, 8, 5, 5, 7, 9, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 6, 6, 10, 12, 9, 8, 8, 8, 12, 11, 12, 11, 12, 11, 9, 10, 10, 10, 13, 14, 12, 13, 12, 14, 14, 12, 9, 4, 4, 5, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 10, 8, 8, 9, 10, 7, 5, 5, 7, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 6, 6, 7, 7, 7, 8, 9, 9, 9, 7, 7, 7, 11, 11, 10, 10, 12, 13, 12, 8, 8, 9, 11, 12, 11, 12, 12, 12, 11, 11, 12, 12, 11, 11, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 2, 1, 1, 0, 7, 7, 0, 0, 2, 1, 1, 0, 8, 8, 0, 8, 8, 0, 9, 9, 2, 1, 2, 9, 9, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 4, 4, 3, 1, 1, 1, 2, 2, 2, 0, 0, 3, 2, 2, 0, 0, 5, 2, 2, 0, 0, 0, 0, 7, 2, 2, 2, 2, 0, 0, 0, 9, 2, 2, 2, 2, 0, 0, 11, 2, 2, 3, 3, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 4, 4, 5, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 5, 5, 5, 0, 2, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 4, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 4, 4, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 5, 1, 0, 2, 2, 2, 1, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 7, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 2, 5, 5, 2, 2, 1, 7, 7, 0, 4, 4, 8, 1, 2, 2, 2, 8, 8, 8, 0, 0, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0 ]
[ 371, 81, 43319, 922, 2946, 463, 9060, 2443, 429, 59, 313, 833, 15634, 864, 7148, 36, 32, 36, 23604, 36, 32, 37, 20, 683, 203, 371, 81, 43319, 922, 1945, 81, 928, 81, 15260, 463, 24411, 370, 330, 3221, 683, 203, 465, 2674, 15634, 864, 203, 1070, 2674, 15634, 864, 1188, 1044, 225, 203, 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 4073, 280, 2674, 15634, 864, 32, 4073, 463, 731, 683, 203, 84, 280, 2674, 15634, 864, 32, 1536, 81, 7003, 346, 203, 1216, 26, 84, 710, 476, 2315, 81, 1959, 3490, 203, 84, 710, 519, 486, 50, 4457, 785, 280, 225, 35, 35, 34, 34, 34, 203, 84, 710, 5333, 387, 50, 4457, 785, 280, 225, 36, 32, 39, 203, 84, 710, 36378, 84, 81, 25410, 50, 4457, 785, 280, 225, 35, 32, 34, 203, 84, 710, 519, 486, 50, 11234, 785, 280, 225, 39, 34, 34, 34, 203, 84, 710, 5333, 387, 50, 11234, 785, 280, 225, 34, 32, 42, 39, 203, 84, 710, 99, 50, 7003, 785, 280, 225, 34, 32, 42, 33, 37, 32, 34, 203, 84, 32, 16243, 81, 12704, 463, 15034, 50, 4457, 370, 10932, 81, 979, 1057, 101, 934, 50, 7003, 683, 203, 84, 710, 15034, 50, 4457, 785, 280, 225, 37, 32, 34, 203, 1216, 26, 84, 32, 2029, 26, 939, 1889, 11414, 15034, 370, 330, 5333, 387, 370, 330, 519, 486, 2188, 1619, 1057, 2292, 2847, 203, 84, 710, 476, 2315, 81, 8681, 81, 612, 94, 81, 25410, 50, 4457, 785, 280, 225, 35, 32, 34, 203, 84, 710, 476, 2315, 81, 8681, 81, 612, 94, 81, 25410, 50, 11234, 785, 280, 225, 34, 32, 40, 203, 84, 710, 8320, 81, 1959, 785, 280, 330, 2585, 81, 46305, 25, 203, 833, 5633, 280, 2674, 15634, 864, 32, 24356, 26, 34, 30, 35, 30, 35, 34, 35, 27, 203, 84, 32, 669, 81, 5613, 463, 9028, 370, 6496, 47, 84, 32, 452, 81, 1003, 26, 833, 5633, 490, 203, 979, 5147, 328, 428, 34, 30, 37, 34, 30, 40, 34, 30, 43, 34, 2786, 284, 323, 32, 470, 81, 853, 463, 42706, 50, 7003, 370, 5147, 27, 284, 323, 32, 1945, 81, 7924, 26, 476, 2315, 81, 1959, 1057, 25124, 1155, 683, 284, 19945, 307, 81, 25124, 1155, 280, 323, 32, 371, 81, 853, 463, 11981, 307, 370, 1619, 1057, 1160, 683, 284, 323, 32, 1945, 81, 7924, 26, 476, 2315, 81, 1959, 1057, 19252, 20362, 683, 284, 19945, 307, 81, 19252, 20362, 280, 323, 32, 371, 81, 853, 463, 11981, 307, 370, 1619, 1057, 1160, 683, 284, 5743, 32, 3399, 26, 833, 5633, 30, 308, 11981, 307, 81, 25124, 1155, 31, 11981, 307, 81, 19252, 20362, 4165, 11981, 307, 81, 25124, 1155, 30, 2266, 1057, 91, 1279, 16805, 1643, 26, 42706, 490, 203, 6073, 32, 16862, 463, 12040, 683, 203, 6073, 32, 16575, 14969, 56, 26, 25124, 1155, 27, 429, 506, 26, 19252, 20362, 2177, 517, 506, 26, 25124, 1155, 19188, 203, 6073, 32, 11358, 26, 881, 1057, 7607, 4193, 683, 203, 6073, 32, 2245, 346, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 5, 5, 3, 5, 5, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 3, 2, 2, 5, 5, 4, 5, 4, 6, 6, 0, 3, 2, 2, 5, 5, 4, 5, 5, 5, 4, 0, 3, 3, 5, 4, 6, 6, 6, 6, 6, 0, 4, 3, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 3, 3, 0, 4, 3, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 0, 4, 3, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 0, 4, 3, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 3, 0, 4, 3, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 3, 0, 4, 3, 5, 5, 5, 5, 2, 2, 4, 4, 4, 3, 4, 4, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 5, 5, 4, 6, 6, 6, 6, 6, 0, 4, 3, 5, 5, 5, 5, 2, 2, 3, 3, 3, 0, 3, 3, 6, 5, 6, 5, 7, 7, 6, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 5, 6, 8, 8, 0, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 0, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 0, 4, 3, 5, 5, 5, 5, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 7, 6, 7, 7, 7, 6, 7, 7, 6, 0, 1, 1, 1, 1, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 6, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 6, 7, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 6, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 6, 7, 9, 9, 2, 2, 5, 6, 5, 6, 6, 5, 5, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 5, 5, 6, 10, 10, 10, 9, 8, 9, 8, 0, 4, 3, 4, 3, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 4, 6, 6, 6, 0, 4, 3, 4, 3, 5, 5 ]
[ 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 1, 1, 0, 5, 5, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 3, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 5, 5, 5, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 23, 23, 23, 23, 1, 3, 3, 3, 3, 5, 5, 3, 7, 7, 3, 23, 23, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 5, 5, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 5, 5, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 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, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0 ]
[ 465, 15798, 203, 1070, 46759, 103, 32, 858, 1188, 894, 81, 2304, 619, 21928, 203, 1070, 46759, 103, 32, 858, 32, 11402, 32, 2846, 81, 4882, 32, 2796, 81, 10340, 81, 858, 1188, 766, 284, 1420, 81, 5322, 81, 2796, 81, 10340, 203, 823, 439, 35, 42, 74, 5334, 8386, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 2416, 26, 784, 711, 291, 706, 81, 761, 280, 21928, 32, 371, 81, 858, 81, 605, 81, 983, 463, 2840, 32, 96, 4895, 683, 291, 2164, 81, 761, 280, 21928, 32, 371, 81, 858, 81, 2416, 81, 983, 26, 324, 330, 59, 35, 42, 81, 9247, 81, 4510, 81, 106, 5334, 81, 1070, 81, 1294, 81, 15688, 81, 339, 98, 81, 1803, 36, 32, 96, 4895, 683, 291, 1420, 81, 5322, 81, 2796, 81, 10340, 26, 13388, 32, 470, 81, 2184, 26, 605, 81, 761, 30, 17739, 2164, 81, 761, 47, 2416, 81, 761, 490, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 7, 7, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 9, 9, 11, 11, 10, 11, 11, 11, 9, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 3, 3, 0, 2, 2, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 8, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 3995, 203, 823, 7778, 1538, 1078, 44, 203, 202, 589, 1156, 1664, 3207, 784, 30, 13000, 705, 10106, 30, 34812, 590, 3883, 30, 9271, 590, 3883, 711, 357, 202, 784, 32, 13000, 705, 10106, 280, 16656, 705, 10106, 357, 202, 784, 32, 405, 19695, 590, 3883, 280, 34812, 590, 3883, 357, 202, 784, 32, 9271, 590, 3883, 280, 9094, 590, 3883, 203, 202, 589, 622, 55, 1703, 1284, 26, 784, 711, 357, 202, 83, 27242, 280, 3995, 32, 3855, 346, 357, 202, 12018, 280, 225, 34, 357, 202, 1055, 280, 34, 357, 202, 979, 909, 328, 630, 32, 405, 19695, 590, 3883, 44, 355, 202, 12018, 1454, 909, 355, 202, 325, 312, 27242, 2511, 41008, 44, 603, 202, 601, 1650, 355, 202, 1055, 280, 1650, 474, 225, 35, 357, 202, 601, 2069, 26, 784, 32, 405, 19695, 590, 3883, 27, 429, 225, 35, 203, 202, 589, 622, 15836, 55, 1703, 26, 784, 30, 1351, 711, 357, 202, 979, 595, 328, 2155, 26, 34, 30, 2069, 26, 784, 32, 13000, 705, 10106, 27, 8063, 355, 202, 325, 596, 26, 784, 32, 13000, 705, 10106, 77, 91, 1130, 610, 596, 26, 1594, 711, 603, 202, 601, 595, 357, 202, 13225, 3268, 440, 53, 1053, 646, 2290, 313, 474, 596, 26, 1594, 27, 829, 203, 202, 589, 622, 10834, 1284, 26, 784, 711, 357, 202, 83, 27242, 280, 3995, 32, 3855, 346, 357, 202, 12018, 280, 225, 34, 357, 202, 1055, 280, 34, 357, 202, 979, 909, 328, 630, 32, 9271, 590, 3883, 44, 355, 202, 12018, 1454, 909, 355, 202, 325, 312, 27242, 2511, 41008, 44, 603, 202, 601, 1650, 355, 202, 1055, 280, 1650, 474, 225, 35, 357, 202, 601, 2069, 26, 784, 32, 9271, 590, 3883, 27, 429, 225, 35, 203, 589, 39486, 1284, 26, 27182, 8063, 203, 202, 695, 280, 27182, 77, 34, 79, 203, 202, 1055, 280, 34, 203, 202, 601, 1402, 280, 34, 203, 202, 979, 595, 328, 27182, 44, 357, 202, 325, 595, 848, 909, 44, 355, 202, 601, 1402, 280, 1650, 357, 202, 1055, 280, 1650, 29, 35, 203, 202, 601, 442, 1402, 203, 589, 622, 72, 1731, 6506, 1215, 26, 3634, 1538, 10979, 30, 1688, 711, 203, 202, 601, 1215, 47, 1605, 203, 202, 1455, 72, 1731, 6506, 590, 3883, 280, 1605, 203, 202, 1455, 72, 1731, 6506, 590, 3883, 32, 1689, 26, 35, 27, 1659, 202, 979, 595, 328, 2155, 26, 225, 35, 30, 2069, 26, 1826, 1538, 10979, 27, 8063, 357, 202, 1455, 72, 1731, 6506, 590, 3883, 32, 1689, 26, 225, 34, 27, 203, 202, 83, 8924, 280, 308, 3610, 72, 1731, 6506, 590, 3883, 30, 225, 34, 27, 203, 202, 601, 1215, 32, 1689, 26, 312, 8924, 829, 203, 202, 979, 595, 328, 2155, 26, 225, 34, 30, 1657, 26, 2024, 8531, 357, 202, 890, 72, 1731, 6506, 590, 3883, 280, 1605, 357, 202, 979, 594, 328, 2155, 26, 225, 34, 30, 2069, 26, 1826, 1538, 10979, 8531, 355, 202, 1293, 280, 3634, 1538, 10979, 77, 92, 79, 355, 202, 405, 19695, 9944, 280, 1603, 32, 405, 19695, 590, 3883, 77 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 3, 4, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 8, 7, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 6, 6, 7, 4, 4, 7, 6, 7, 4, 4, 5, 5, 5, 5, 6, 7, 7, 7, 7, 5, 5, 5, 9, 8, 8, 6, 6, 7, 7, 9, 8, 8, 7, 7, 7, 9, 9, 6, 6, 9, 8, 8, 9, 9, 10, 4, 4, 5, 5, 8, 10, 9, 10, 10, 10, 10, 8, 6, 6, 7, 2, 2, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 7, 8, 7, 7, 9, 11, 10, 11, 11, 11, 9, 7, 5, 5, 7, 7, 10, 13, 12, 13, 13, 13, 11, 12, 11, 8, 8, 10, 11, 10, 7, 7, 9, 9, 4, 4, 5, 5, 7, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 6, 6, 7, 4, 4, 7, 6, 7, 4, 4, 5, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 9, 8, 8, 6, 6, 7, 7, 9, 8, 8, 7, 7, 7, 9, 9, 6, 6, 9, 8, 8, 9, 9, 10, 4, 4, 5, 5, 8, 10, 9, 10, 10, 10, 8, 6, 6, 7, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 4, 4, 5, 6, 5, 2, 2, 5, 4, 5, 2, 2, 5, 5, 4, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 4, 4, 7, 6, 6, 7, 8, 2, 2, 3, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 6, 6, 6, 6, 6, 6, 5, 6, 5, 6, 5, 2, 2, 3, 3, 3, 3, 5, 5, 6, 5, 5, 7, 8, 8, 8, 7, 5, 3, 3, 8, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 2, 2, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 6, 5, 2, 2, 6, 6, 5, 6, 5, 5, 6, 5, 2, 2, 3, 3, 3, 3, 5, 5, 6, 5, 7, 7, 8, 7, 3, 3, 7, 7, 7, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 7, 7, 8, 7, 7, 9, 10, 10, 10, 9, 5, 5, 9, 8, 8, 10, 10, 9, 10, 9, 6, 6, 9, 9, 9, 8, 8, 10, 11, 11, 11, 11, 9 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 3, 3, 3, 2, 2, 5, 5, 2, 7, 7, 7, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 5, 5, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 5, 5, 0, 0, 0, 2, 2, 2, 4, 4, 4, 4, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 3, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 0, 0, 0, 5, 5, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 5, 5, 0, 0, 0, 2, 2, 2, 4, 4, 4, 4, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 2, 2, 4, 4, 4, 4, 1, 0, 3, 3, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 6, 6, 6, 6, 1, 1, 1, 1, 0, 1, 1, 1, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2 ]
[ 465, 12500, 32, 17449, 619, 5743, 203, 465, 6436, 619, 2065, 203, 605, 280, 428, 284, 330, 36, 34, 34, 38, 370, 261, 39, 30, 284, 26271, 34, 39, 370, 261, 36, 30, 284, 26271, 34, 40, 370, 225, 35, 37, 30, 284, 26271, 34, 41, 370, 261, 42, 30, 284, 26271, 34, 42, 370, 225, 36, 37, 30, 284, 26271, 34, 43, 370, 225, 37, 34, 30, 284, 26271, 35, 34, 370, 225, 36, 38, 30, 284, 26271, 35, 35, 370, 225, 37, 41, 30, 284, 26271, 35, 36, 370, 225, 39, 34, 30, 284, 26271, 35, 37, 370, 225, 41, 42, 30, 284, 26271, 35, 38, 370, 225, 40, 34, 30, 284, 26271, 35, 39, 370, 225, 35, 35, 30, 284, 330, 66, 370, 647, 42, 30, 3701, 330, 70, 370, 262, 37, 40, 10065, 1481, 203, 106, 5919, 280, 706, 77, 34, 403, 36, 79, 203, 96, 81, 30485, 280, 706, 77, 35, 403, 36, 79, 203, 64, 280, 2069, 26, 106, 5919, 293, 203, 582, 280, 5743, 32, 7630, 346, 203, 648, 280, 6531, 32, 669, 81, 23541, 26, 35, 35, 35, 27, 203, 106, 280, 2065, 32, 24356, 26, 35, 30, 489, 30, 489, 27, 203, 1644, 280, 225, 34, 32, 42, 203, 648, 32, 1632, 26, 106, 77, 34, 44, 64, 31, 36, 614, 310, 81, 30485, 77, 34, 44, 64, 31, 36, 614, 1861, 30, 1963, 1057, 84, 683, 203, 648, 32, 1632, 26, 106, 77, 64, 31, 36, 44, 64, 614, 310, 81, 30485, 77, 64, 31, 36, 44, 64, 614, 1861, 30, 1963, 1057, 89, 683, 203, 6073, 32, 16862, 463, 66, 47, 2626, 39363, 30, 394, 47, 1318, 1464, 683, 203, 648, 32, 470, 81, 39642, 26, 2356, 32, 24356, 26, 35, 30, 64, 30, 64, 27, 474, 1861, 33, 36, 27, 203, 648, 32, 470, 81, 4789, 1226, 5919, 26, 106, 5919, 27, 203, 1311, 81, 800, 280, 330, 6508, 6938, 390, 34765, 30, 2726, 474, 596, 26, 1036, 26, 96, 81, 30485, 490, 474, 330, 9325, 9905, 203, 582, 32, 101, 9689, 778, 26, 1311, 81, 800, 27, 203, 6073, 32, 25317, 463, 1356, 7174, 81, 20254, 993, 32, 4682, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 2, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 3, 4, 3, 3, 3, 5, 5, 5, 3, 4, 3, 3, 3, 5, 5, 5, 3, 4, 4, 3, 3, 3, 5, 5, 5, 3, 4, 3, 3, 3, 5, 5, 5, 3, 4, 4, 3, 3, 3, 5, 5, 5, 3, 4, 4, 3, 3, 3, 5, 5, 5, 3, 4, 4, 3, 3, 3, 5, 5, 5, 3, 4, 4, 3, 3, 3, 5, 5, 5, 3, 4, 4, 3, 3, 3, 5, 5, 5, 3, 4, 4, 3, 3, 3, 5, 5, 5, 3, 4, 4, 3, 3, 3, 5, 5, 5, 3, 4, 4, 3, 3, 3, 5, 5, 3, 4, 3, 3, 3, 5, 5, 3, 4, 4, 3, 3, 0, 3, 3, 2, 2, 3, 5, 4, 5, 3, 0, 3, 3, 3, 2, 2, 3, 5, 4, 5, 3, 0, 3, 2, 2, 4, 5, 5, 4, 0, 3, 2, 2, 4, 5, 4, 0, 3, 2, 2, 4, 5, 5, 5, 4, 5, 5, 5, 4, 0, 3, 2, 2, 4, 5, 4, 5, 4, 4, 4, 4, 4, 0, 3, 2, 2, 3, 3, 3, 0, 4, 3, 4, 3, 5, 4, 6, 5, 7, 6, 7, 4, 3, 5, 5, 4, 6, 5, 7, 6, 7, 4, 3, 3, 3, 4, 6, 6, 0, 4, 3, 4, 3, 5, 4, 7, 6, 7, 5, 6, 4, 3, 5, 5, 4, 7, 6, 7, 5, 6, 4, 3, 3, 3, 4, 6, 6, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 4, 4, 3, 7, 6, 7, 6, 7, 6, 7, 6, 7, 6, 4, 4, 5, 6, 3, 0, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 3, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 4, 4, 6, 8, 8, 9, 9, 9, 8, 3, 3, 5, 5, 0, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 4, 3, 4, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 2, 2, 7, 2, 2, 2, 1, 1, 2, 2, 11, 11, 2, 2, 2, 1, 1, 2, 2, 15, 2, 2, 2, 1, 1, 2, 2, 19, 19, 2, 2, 2, 1, 1, 2, 2, 23, 23, 2, 2, 2, 1, 1, 2, 2, 27, 27, 2, 2, 2, 1, 1, 2, 2, 31, 31, 2, 2, 2, 1, 1, 2, 2, 35, 35, 2, 2, 2, 1, 1, 2, 2, 39, 39, 2, 2, 2, 1, 1, 2, 2, 43, 43, 2, 2, 2, 1, 1, 2, 2, 47, 47, 2, 2, 2, 1, 2, 2, 51, 2, 2, 2, 1, 2, 2, 55, 55, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 3, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 3, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 3, 0, 2, 0, 2, 2, 3, 1, 1, 1, 7, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 3, 1, 1, 1, 7, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 3, 1, 5, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 35094, 1188, 7360, 203, 1070, 22045, 1188, 707, 7345, 30, 15358, 203, 1070, 1984, 2208, 1188, 1984, 2208, 203, 465, 273, 38200, 32, 525, 1580, 203, 1070, 638, 1188, 12395, 1394, 203, 1070, 13761, 271, 32, 2304, 1188, 4082, 203, 1070, 273, 38200, 32, 8347, 1188, 442, 81, 9666, 203, 37915, 81, 4065, 81, 29396, 280, 316, 32, 6993, 26, 100, 20, 1162, 2805, 641, 2805, 5272, 78, 4242, 49, 12456, 33, 6155, 2502, 5272, 3424, 14451, 203, 589, 15358, 81, 965, 26, 965, 711, 284, 1596, 44, 291, 1984, 280, 1984, 32, 4434, 463, 3310, 31, 42, 683, 284, 2940, 23174, 11867, 924, 44, 291, 3097, 284, 1984, 280, 21810, 40101, 81, 4065, 81, 29396, 32, 2998, 26, 965, 27, 284, 415, 2069, 26, 965, 27, 848, 225, 36, 44, 291, 1984, 77, 36, 79, 280, 15358, 26, 965, 77, 36, 1130, 284, 1984, 280, 35617, 2524, 26, 965, 27, 284, 442, 1984, 203, 589, 617, 12944, 81, 965, 26, 965, 711, 284, 1984, 280, 15358, 81, 965, 26, 311, 7345, 26, 965, 490, 284, 442, 1984, 415, 1984, 32, 15990, 463, 525, 683, 813, 330, 525, 555, 23, 101, 25, 904, 1984, 203, 589, 6042, 26, 1819, 30, 1984, 30, 13316, 81, 965, 81, 1298, 11645, 12944, 81, 965, 711, 284, 1984, 280, 13316, 81, 965, 81, 1298, 26, 965, 27, 284, 736, 280, 1984, 2208, 26, 965, 27, 284, 415, 646, 736, 32, 12256, 44, 291, 442, 3177, 284, 415, 646, 1619, 32, 1163, 32, 33891, 81, 26803, 44, 291, 442, 2933, 284, 436, 5257, 328, 1619, 32, 1163, 32, 33891, 81, 26803, 44, 291, 415, 316, 32, 2872, 463, 80, 23, 101, 22, 25, 904, 5257, 30, 736, 32, 12256, 711, 324, 442, 2933, 284, 442, 3177, 203, 589, 442, 81, 8078, 26, 1986, 30, 1984, 30, 3309, 30, 1619, 711, 284, 1056, 280, 12395, 1394, 346, 284, 1619, 32, 7982, 32, 28502, 463, 7318, 81, 893, 32, 1517, 4564, 474, 596, 26, 1986, 32, 687, 490, 284, 415, 1789, 32, 731, 44, 291, 1056, 32, 21782, 280, 3177, 291, 415, 1789, 32, 687, 610, 225, 39, 43, 43, 44, 324, 1056, 32, 731, 280, 12395, 1394, 32, 2930, 81, 14247, 291, 813, 44, 324, 1056, 32, 731, 280, 12395, 1394, 32, 2930, 81, 3908, 81, 13195, 291, 4082, 32, 8447, 440, 2930, 30627, 1778, 301, 34, 10696, 301, 35, 16054, 1643, 26, 965, 30, 596, 26, 1986, 32, 731, 2610, 284, 4348, 1789, 32, 1548, 438, 1665, 556, 2069, 26, 1986, 32, 1548, 27, 610, 225, 34, 44, 291, 1056, 32, 21782, 280, 3177, 291, 1056, 32, 731, 280, 12395, 1394, 32, 2930, 81, 2418, 13169, 291, 4082, 32, 8447, 440, 2930, 30627, 1778, 301, 34, 10696, 14893, 1789, 35145, 1643, 26, 965, 490, 284, 813, 44, 291, 415, 1789, 32, 1003, 81, 1338, 44, 324, 436, 816, 328, 1789, 32, 1003, 81, 1338, 44, 400, 1619, 32, 7982, 32, 23936, 463, 7318, 81, 893, 32, 1003, 81, 1338, 4564, 474, 816, 30, 1789, 32, 1003, 81, 1338, 77, 106, 79, 319, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 3, 3, 4, 5, 5, 4, 4, 4, 2, 2, 4, 4, 7, 7, 7, 7, 7, 6, 7, 6, 7, 6, 2, 2, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 7, 8, 7, 6, 6, 8, 10, 9, 10, 9, 2, 2, 4, 4, 7, 6, 7, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 9, 8, 2, 2, 3, 4, 4, 6, 7, 6, 8, 8, 4, 4, 7, 7, 7, 7, 7, 5, 5, 0, 1, 1, 2, 3, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 3, 4, 5, 6, 3, 3, 3, 5, 2, 2, 3, 4, 6, 7, 5, 6, 6, 6, 3, 3, 3, 5, 2, 2, 3, 3, 3, 5, 6, 4, 5, 5, 5, 3, 3, 3, 5, 7, 8, 7, 10, 10, 10, 10, 10, 8, 8, 7, 7, 8, 9, 7, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 6, 7, 5, 6, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 10, 9, 10, 8, 2, 2, 3, 4, 5, 3, 3, 3, 7, 8, 6, 6, 4, 4, 5, 7, 8, 6, 6, 7, 7, 7, 5, 5, 5, 9, 10, 8, 8, 10, 9, 10, 10, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 11, 10, 11, 11, 11, 11, 11, 4, 4, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 9, 9, 11, 13, 12, 13, 11, 3, 3, 4, 7, 8, 6, 6, 5, 5, 8, 10, 9, 10, 8, 6, 6, 7, 4, 4, 4, 8, 9, 7, 7, 5, 5, 8, 9, 7, 7, 9, 8, 9, 9, 9, 9, 5, 5, 8, 9, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 10, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8, 6, 6, 6, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 13, 14, 12, 13, 12, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 12, 12, 15, 16, 16, 16, 14, 15, 14, 13, 13 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 2, 0, 5, 5, 5, 5, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 3, 1, 1, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 4, 0, 10, 10, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 11, 11, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 2, 2, 11, 11, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 4, 4, 3, 1, 0, 2, 1, 2, 2, 2, 3, 3, 3, 0, 4, 4, 4, 4, 4, 0, 2, 3, 2, 2, 2, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 4, 4, 5, 0, 12, 12, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 12, 12, 0, 0, 0, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 3, 3, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 4, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 4, 4, 4, 0, 2, 0, 0, 3, 3, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 5, 5, 5, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 3, 3 ]
[ 1070, 8684, 1188, 1963, 81, 1216, 619, 1532, 203, 823, 14169, 9191, 332, 26, 1473, 711, 284, 665, 1491, 81, 1251, 26, 784, 30, 1541, 711, 291, 5881, 291, 4841, 322, 5479, 432, 312, 1541, 32, 291, 5881, 291, 415, 19326, 26, 1251, 30, 330, 8425, 683, 438, 3177, 44, 324, 442, 291, 281, 1442, 101, 280, 1541, 32, 8425, 346, 291, 630, 32, 42680, 81, 8425, 26, 85, 1442, 101, 30, 1541, 27, 284, 665, 26697, 81, 8425, 26, 784, 30, 5479, 30, 1541, 711, 291, 5881, 291, 10092, 312, 1149, 432, 5479, 8187, 1591, 1541, 32, 291, 5881, 291, 436, 281, 328, 5479, 44, 324, 630, 32, 42680, 81, 4742, 26, 85, 30, 1541, 27, 284, 665, 26697, 81, 4742, 26, 784, 30, 16526, 30, 1541, 711, 291, 5881, 291, 14291, 332, 322, 5479, 1991, 322, 3700, 15684, 291, 5881, 291, 415, 19326, 26, 784, 30, 330, 4742, 81, 3494, 683, 438, 3177, 44, 324, 39506, 26, 784, 30, 330, 4742, 81, 3494, 370, 12797, 291, 415, 19326, 26, 784, 30, 330, 4742, 81, 5459, 683, 438, 3177, 44, 324, 39506, 26, 784, 30, 330, 4742, 81, 5459, 370, 12797, 291, 4467, 280, 630, 32, 371, 81, 11613, 81, 4243, 26, 1251, 30, 16526, 27, 291, 630, 32, 1689, 81, 1793, 81, 4243, 26, 4243, 30, 16526, 27, 291, 30109, 280, 630, 32, 4742, 81, 3494, 291, 2197, 280, 596, 26, 1328, 27, 291, 415, 308, 545, 328, 30109, 27, 438, 3177, 44, 324, 30109, 77, 545, 79, 280, 1605, 291, 30109, 77, 545, 997, 1689, 26, 1251, 32, 371, 81, 426, 1157, 284, 665, 622, 81, 11613, 81, 4243, 26, 784, 30, 1541, 30, 3700, 711, 291, 1541, 81, 426, 280, 1541, 32, 371, 81, 426, 346, 291, 4467, 280, 308, 1251, 81, 426, 30, 596, 26, 4742, 471, 829, 291, 442, 4467, 284, 665, 1420, 81, 8425, 26, 784, 30, 5479, 30, 1541, 30, 786, 30, 1600, 711, 291, 11847, 280, 1605, 291, 436, 16526, 328, 5479, 44, 324, 1541, 81, 4243, 280, 630, 32, 4742, 81, 3494, 32, 371, 26, 466, 26, 1328, 490, 556, 1605, 324, 436, 8348, 328, 1541, 81, 4243, 44, 400, 309, 280, 8930, 34, 45147, 35, 16805, 1643, 26, 3997, 30, 596, 26, 1328, 490, 400, 540, 280, 630, 32, 371, 26, 101, 27, 556, 1605, 400, 296, 280, 10440, 784, 32, 5459, 32, 371, 26, 3997, 471, 739, 26, 100, 471, 2177, 400, 11847, 32, 8233, 26, 296, 829, 291, 736, 280, 2149, 291, 436, 2935, 81, 5459, 30, 617, 8425, 328, 11847, 44, 324, 436, 281, 1442, 328, 617, 8425, 44, 400, 436, 20264, 328, 2935, 81, 5459, 44, 528, 354, 280, 281, 1442, 32, 4635, 26, 7547, 30, 1541, 30, 786, 30, 1600, 27, 528, 310, 280, 8930, 34, 45147, 35, 16805, 1643, 26, 7547, 32, 371, 81, 426, 1026, 596, 26, 85, 1442, 490, 528, 736, 77, 96, 7770, 354, 291, 442, 736, 284, 665, 2290, 81, 8425, 26, 784, 30, 1541, 30, 1600, 30, 786, 711, 291, 310, 280, 8930, 34, 20556, 35, 20556, 36, 16805, 1643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 8, 9, 8, 8, 10, 10, 6, 6, 5, 5, 5, 4, 4, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 8, 9, 8, 8, 10, 10, 10, 10, 6, 6, 5, 5, 5, 9, 10, 9, 9, 11, 11, 11, 11, 9, 4, 4, 5, 8, 9, 8, 8, 10, 10, 10, 10, 6, 6, 5, 5, 5, 9, 10, 9, 9, 11, 11, 11, 11, 9, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 7, 4, 4, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 9, 8, 8, 7, 6, 6, 5, 5, 5, 9, 10, 9, 8, 8, 4, 4, 8, 9, 8, 8, 7, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 8, 8, 7, 7, 9, 10, 9, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 9, 9, 8, 8, 12, 13, 13, 13, 11, 12, 11, 13, 13, 14, 13, 9, 9, 6, 6, 7, 7, 7, 8, 8, 7, 7, 7, 10, 10, 14, 14, 14, 14, 13, 12, 13, 12, 12, 14, 15, 14, 8, 8, 10, 10, 13, 14, 13, 14, 13, 11, 11, 8, 8, 10, 10, 16, 15, 16, 14, 15, 14, 15, 14, 12, 14, 15, 14, 12, 8, 8, 11, 12, 11, 11, 11, 4, 4, 6, 6, 4, 4, 5, 7, 7, 6, 6, 7, 5, 5, 5, 5, 5, 7, 8, 7, 7, 8, 7, 7, 7, 9, 9, 9, 10, 10, 9, 9, 9, 12, 12, 15, 14, 15, 14, 15, 14, 14, 14, 14, 14, 14, 14, 10, 10, 12, 12, 16, 16, 16, 16, 15, 14, 17, 16, 17, 17, 17, 16, 14, 16, 17, 17, 16, 10, 10, 13, 14, 13, 12, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 10, 10, 10, 10, 10, 10, 9 ]
[ 0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 7, 0, 1, 1, 0, 1, 1, 7, 7, 7, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 5, 5, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 2, 2, 5, 5, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 3, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 0, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 0, 0, 4, 4, 4, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 3619, 4746, 930, 366, 1188, 13872, 203, 505, 1648, 505, 280, 8493, 606, 44, 225, 37, 88, 43, 39, 42, 84, 37, 36162, 37, 84, 41, 84, 40, 41, 43, 38, 39, 38, 40, 88, 36, 1291, 41, 88, 35, 37, 41, 39, 41, 86, 37, 40, 84, 34, 83, 37, 34, 398, 25, 203, 823, 37883, 26, 5065, 32, 73, 1546, 23860, 9160, 711, 284, 8777, 81, 4746, 297, 280, 428, 291, 330, 2321, 370, 291, 330, 1506, 370, 291, 330, 3463, 370, 291, 330, 19080, 370, 291, 330, 3643, 370, 291, 330, 28787, 370, 291, 330, 11156, 370, 291, 330, 20924, 370, 291, 330, 775, 370, 291, 330, 23443, 370, 284, 1481, 284, 6556, 81, 4746, 297, 280, 428, 291, 330, 1140, 370, 291, 330, 2947, 31, 101, 930, 370, 291, 330, 5390, 90, 370, 291, 330, 13586, 639, 17130, 370, 284, 1481, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 9160, 30, 630, 14585, 1664, 16369, 291, 630, 32, 426, 280, 330, 12393, 25, 291, 630, 32, 11868, 81, 1170, 81, 891, 280, 428, 324, 330, 272, 370, 330, 2269, 370, 330, 8378, 370, 330, 286, 370, 330, 2173, 370, 330, 9762, 370, 330, 2947, 370, 330, 27222, 370, 330, 283, 370, 330, 307, 370, 330, 4788, 370, 324, 330, 557, 370, 330, 4595, 370, 330, 385, 370, 330, 7301, 370, 330, 3418, 370, 330, 1173, 370, 330, 1919, 370, 330, 1347, 370, 330, 615, 370, 330, 5501, 370, 330, 282, 370, 324, 330, 314, 370, 330, 1729, 370, 330, 6858, 370, 330, 290, 370, 330, 7954, 370, 330, 8278, 370, 330, 874, 370, 330, 359, 370, 330, 887, 370, 330, 17762, 370, 330, 14744, 370, 324, 330, 11085, 370, 330, 1990, 370, 330, 1804, 370, 330, 4866, 370, 330, 292, 370, 330, 2159, 370, 330, 4486, 370, 330, 3935, 370, 330, 2003, 370, 330, 364, 370, 330, 11964, 370, 324, 330, 1843, 370, 330, 3997, 370, 330, 2086, 370, 330, 3075, 370, 330, 6656, 370, 330, 342, 370, 330, 4980, 370, 330, 1373, 370, 330, 349, 370, 330, 3795, 370, 324, 330, 369, 370, 330, 542, 370, 330, 864, 370, 330, 4765, 370, 330, 9072, 370, 330, 890, 370, 330, 305, 370, 330, 2251, 370, 330, 1349, 370, 330, 41736, 370, 330, 2479, 370, 324, 330, 5390, 370, 330, 6973, 370, 330, 3883, 370, 330, 519, 370, 330, 864, 31, 5366, 912, 370, 330, 839, 370, 330, 384, 370, 330, 5664, 370, 330, 23854, 370, 330, 8902, 370, 324, 330, 8087, 370, 330, 297, 370, 330, 696, 370, 330, 7301, 31, 107, 340, 370, 330, 7368, 370, 330, 1549, 370, 330, 2653, 370, 330, 3806, 370, 330, 98, 1490, 370, 330, 4126, 370, 324, 330, 18826, 370, 330, 94, 775, 370, 330, 14647, 370, 330, 38164, 370, 330, 1772, 370, 330, 11392, 370, 330, 278, 370, 330, 7643, 370, 330, 1586, 370, 330, 716, 370, 330, 941, 370, 324, 330, 3093, 370, 330, 545, 96, 370, 330, 84, 978, 370, 330, 1442, 101, 370, 330, 9455 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 2, 0, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1 ]
[ 1070, 1984, 2208, 1188, 1984, 2524, 203, 465, 5592, 32, 48609, 32, 1308, 3350, 619, 20523, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 2387, 1188, 10838, 30, 7049, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 1070, 8527, 32, 2304, 32, 878, 1188, 17310, 1147, 203, 34004, 280, 4939, 306, 4642, 33, 90, 32262, 32, 1160, 32, 3675, 3373, 1653, 33, 5609, 12676, 5681, 203, 589, 622, 81, 15636, 81, 965, 26, 1439, 30, 2145, 711, 284, 1984, 280, 1984, 2524, 26, 1439, 30, 10156, 440, 10649, 81, 15636, 2131, 284, 442, 1984, 474, 25687, 1786, 6132, 86, 20, 904, 2145, 32, 3174, 203, 589, 622, 81, 1819, 81, 979, 81, 2387, 26, 3245, 30, 2145, 711, 284, 10071, 280, 4101, 2963, 15520, 29785, 81, 8472, 563, 313, 525, 555, 5007, 15119, 284, 1984, 280, 622, 81, 15636, 81, 965, 26, 10514, 32, 29785, 81, 8472, 30, 2145, 27, 284, 1619, 81, 6862, 280, 301, 291, 313, 15636, 81, 965, 563, 1984, 30, 291, 313, 3245, 563, 3992, 30, 291, 313, 3245, 681, 563, 3992, 32, 3245, 681, 30, 284, 320, 284, 442, 7049, 26, 1819, 81, 6862, 27, 203, 589, 622, 81, 3245, 81, 2593, 81, 979, 81, 4462, 26, 3245, 30, 2145, 711, 284, 3079, 280, 10838, 26, 3245, 32, 3245, 681, 32, 1163, 81, 2593, 27, 284, 1619, 280, 622, 81, 1819, 81, 979, 81, 2387, 26, 3245, 30, 2145, 27, 284, 3992, 81, 2593, 280, 3079, 32, 3169, 26, 1819, 547, 7201, 346, 284, 1326, 271, 280, 28493, 3012, 26, 291, 313, 7921, 758, 392, 313, 1318, 952, 29138, 322, 1968, 392, 7746, 284, 3992, 81, 2593, 280, 1015, 81, 5609, 81, 452, 81, 3245, 26, 1357, 271, 30, 3992, 81, 2593, 27, 284, 442, 3992, 81, 2593, 203, 589, 4450, 81, 3245, 81, 426, 26, 3245, 681, 711, 284, 442, 5461, 101, 16335, 101, 20, 904, 308, 7794, 1147, 26, 3245, 681, 32, 426, 471, 22158, 32, 2174, 922, 20834, 4912, 101, 2131, 203, 823, 4101, 2963, 26, 1473, 711, 284, 443, 617, 10514, 26, 1473, 711, 291, 3097, 284, 665, 1156, 1664, 3207, 784, 30, 10071, 711, 291, 630, 32, 10514, 280, 630, 1114, 10514, 346, 291, 436, 1202, 30, 786, 328, 10071, 32, 40957, 2262, 324, 39506, 26, 784, 32, 10514, 30, 1202, 30, 786, 27, 284, 665, 1156, 32110, 3207, 784, 30, 1202, 711, 291, 442, 18623, 26, 3550, 30, 1202, 30, 18623, 26, 784, 32, 10514, 30, 1202, 490, 284, 665, 622, 81, 853, 81, 271, 81, 4108, 26, 784, 30, 1202, 711, 291, 442, 18623, 26, 3550, 30, 1202, 30, 18623, 26, 784, 32, 10514, 30, 1202, 30, 1665, 490, 203, 589, 3185, 81, 5138, 81, 1070, 81, 3245, 26, 1548, 711, 284, 1056, 280, 1605, 284, 3051, 280, 20523, 32, 1070, 800, 26, 1548, 27, 284, 436, 4356, 328, 3051, 32, 32852, 26, 34004, 711, 291, 1623, 280, 2149, 291, 436, 4356, 81, 2543, 328, 4356, 32, 32852, 12004, 10280, 324, 1623, 77, 753, 81, 2543, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 7, 6, 6, 8, 10, 10, 10, 10, 2, 2, 3, 4, 4, 7, 7, 7, 7, 5, 5, 6, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 2, 2, 4, 4, 6, 6, 6, 6, 6, 8, 7, 8, 8, 8, 6, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 8, 6, 7, 8, 8, 5, 5, 5, 2, 2, 3, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 9, 8, 9, 9, 7, 8, 8, 8, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 2, 2, 5, 5, 4, 4, 8, 9, 8, 9, 8, 7, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 6, 6, 6, 6, 4, 4, 7, 7, 7, 9, 9, 8, 9, 7, 5, 9, 10, 9, 8, 7, 9, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 9, 11, 10, 11, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 7, 7, 9, 11, 10, 11, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 7, 7, 9, 11, 10, 11, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 4, 4, 6, 7, 7, 6, 7, 6, 2, 2, 3, 3, 3, 5, 6, 5, 6, 5, 3, 3, 6, 6, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 9, 5, 5, 9, 11, 11, 11, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 4, 4, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 3, 3, 0, 4, 4, 1, 2, 4, 4, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 1, 2, 5, 2, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 5, 1, 1, 0, 11, 11, 1, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 2, 1, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 0, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 5, 5, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2 ]
[ 465, 2322, 203, 465, 27374, 203, 1070, 281, 6771, 14459, 6591, 32, 1237, 1188, 1015, 2551, 1074, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 8774, 32, 8644, 1188, 372, 14923, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 8774, 32, 4502, 1188, 1596, 1428, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 4073, 1188, 17048, 1335, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 5558, 32, 1439, 1188, 11028, 203, 1070, 281, 6771, 14459, 6591, 32, 9236, 1188, 23471, 203, 751, 280, 17048, 1335, 4064, 426, 8223, 203, 823, 23010, 26, 4152, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 1015, 2551, 1074, 463, 7490, 32, 371, 370, 630, 32, 371, 30, 7730, 280, 301, 324, 330, 3801, 950, 330, 936, 322, 3536, 1245, 803, 810, 1451, 370, 324, 330, 2132, 950, 301, 400, 330, 9480, 950, 5053, 3801, 950, 330, 1918, 432, 322, 1245, 372, 622, 4564, 111, 324, 801, 324, 330, 601, 950, 5053, 681, 950, 330, 1473, 370, 330, 2763, 950, 1524, 109, 284, 330, 3127, 950, 2933, 30, 284, 330, 751, 950, 802, 30, 434, 1335, 803, 284, 330, 2999, 950, 629, 30, 434, 4754, 1245, 2276, 3304, 203, 111, 2993, 111, 291, 1790, 291, 1015, 2551, 1074, 463, 7490, 32, 9865, 370, 630, 32, 9865, 30, 7730, 280, 301, 324, 330, 3801, 950, 330, 936, 312, 7360, 1245, 370, 324, 330, 2132, 950, 301, 400, 330, 681, 950, 5053, 3801, 950, 330, 620, 432, 1245, 370, 330, 681, 950, 330, 800, 44, 1169, 26, 1536, 471, 1048, 30, 3099, 30, 4588, 8885, 400, 330, 4446, 950, 5053, 3801, 950, 330, 1918, 432, 5430, 32, 11313, 372, 1932, 32, 4101, 225, 37, 34, 8885, 324, 801, 324, 330, 601, 950, 5053, 681, 950, 330, 1473, 370, 330, 2763, 950, 1524, 109, 284, 330, 3127, 950, 2933, 30, 284, 330, 751, 950, 802, 30, 434, 1335, 803, 203, 111, 2993, 111, 291, 1790, 291, 1015, 2551, 1074, 463, 7490, 32, 3815, 370, 630, 32, 3815, 30, 7730, 280, 301, 324, 330, 3801, 950, 330, 4913, 1169, 322, 1245, 2276, 25, 291, 1790, 291, 1015, 2551, 1074, 463, 7490, 32, 751, 370, 630, 32, 751, 30, 7730, 280, 301, 324, 330, 3801, 950, 330, 1335, 3878, 370, 324, 330, 2132, 950, 301, 400, 330, 681, 950, 5053, 3801, 950, 330, 620, 432, 5741, 30, 1244, 313, 731, 20, 8885, 400, 330, 326, 5321, 950, 5053, 681, 950, 330, 1473, 370, 330, 3801, 950, 330, 1934, 1604, 2803, 1098, 526, 21440, 328, 322, 1245, 802, 4564, 835, 324, 320, 291, 1790, 284, 665, 622, 26, 784, 30, 21494, 280, 225, 34, 30, 1115, 5321, 711, 291, 21494, 280, 1596, 1428, 26, 9480, 27, 291, 1550, 81, 983, 280, 1665, 291, 3380, 280, 225, 35, 291, 436, 816, 328, 2155, 26, 34, 30, 225, 39, 34, 711, 324, 1519, 280, 6611, 101, 23, 101, 25, 904, 308, 6052, 32, 371, 463, 751, 81, 983, 1425, 5608, 23, 101, 25, 904, 816, 415, 816, 848, 225, 34, 813, 9142, 324, 415, 646, 2322, 32, 983, 32, 29712 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 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, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 4, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 7, 7, 9, 9, 9, 9, 7, 8, 9, 7, 7, 8, 8, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 16, 16, 14, 16, 16, 16, 16, 16, 16, 16, 13, 11, 11, 9, 9, 12, 12, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 9, 9, 4, 4, 7, 7, 7, 9, 9, 9, 9, 7, 8, 9, 7, 7, 8, 8, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 16, 16, 14, 16, 16, 16, 16, 13, 16, 16, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 11, 11, 14, 14, 12, 16, 16, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 11, 11, 9, 9, 12, 12, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 9, 9, 4, 4, 7, 7, 7, 9, 9, 9, 9, 7, 8, 9, 7, 7, 8, 8, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 4, 4, 7, 7, 7, 9, 9, 9, 9, 7, 8, 9, 7, 7, 8, 8, 9, 9, 12, 12, 10, 12, 12, 12, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 16, 16, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 11, 11, 14, 14, 14, 12, 16, 16, 14, 16, 16, 13, 16, 16, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 13, 11, 11, 9, 9, 2, 2, 3, 4, 5, 4, 4, 5, 5, 6, 4, 4, 6, 4, 3, 3, 6, 6, 8, 8, 9, 8, 4, 4, 7, 7, 6, 6, 4, 4, 6, 6, 7, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 8, 7, 5, 5, 8, 8, 11, 11, 11, 11, 9, 9, 13, 12, 13, 12, 14, 14, 14, 14, 10, 14, 14, 14, 12, 12, 11, 11, 12, 12, 13, 11, 11, 6, 6, 7, 8, 11, 12, 10, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 7, 7, 0, 0, 0, 1, 2, 7, 7, 0, 0, 0, 0, 0, 1, 1, 1, 0, 9, 9, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 5, 1, 2, 1, 1, 2, 2, 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, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 5, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 5, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 2, 4, 4, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 3, 3, 2, 2, 2, 3, 3, 5, 5, 1, 1, 0, 2, 0, 2 ]
[ 465, 3219, 81, 983, 203, 1070, 4527, 1188, 4082, 203, 1070, 638, 1188, 11768, 3597, 331, 81, 3922, 203, 465, 6436, 619, 2065, 203, 81, 6177, 81, 3197, 280, 3219, 81, 983, 32, 371, 81, 1439, 81, 1515, 346, 203, 589, 1992, 81, 2024, 26, 10668, 81, 2121, 30, 595, 81, 853, 30, 3640, 81, 8662, 30, 485, 3997, 81, 1762, 81, 668, 711, 284, 5881, 291, 477, 5305, 44, 324, 595, 81, 853, 3065, 526, 322, 1245, 1530, 308, 35, 30, 1929, 81, 1141, 471, 7231, 81, 2024, 33, 105, 324, 308, 40, 38, 30, 1929, 81, 1141, 471, 7231, 81, 2024, 33, 84, 308, 35, 30, 1929, 81, 1141, 27, 284, 5881, 284, 1201, 2069, 26, 2314, 96, 81, 1762, 81, 668, 27, 610, 225, 38, 284, 595, 81, 853, 280, 2065, 32, 16547, 26, 91, 81, 853, 27, 10065, 595, 2121, 30, 337, 2121, 280, 428, 2121, 474, 6470, 104, 35, 25, 436, 4533, 328, 8872, 81, 2121, 32, 2998, 463, 36, 12357, 284, 595, 2121, 81, 1338, 280, 11768, 3597, 331, 81, 3922, 32, 2208, 81, 6974, 3597, 331, 81, 2255, 26, 291, 595, 2121, 30, 291, 485, 3997, 81, 1251, 81, 1762, 47, 2314, 96, 81, 1762, 81, 668, 77, 34, 614, 291, 3051, 81, 3841, 81, 1762, 47, 2314, 96, 81, 1762, 81, 668, 77, 35, 614, 291, 485, 3997, 81, 2024, 81, 1762, 47, 2314, 96, 81, 1762, 81, 668, 77, 36, 614, 291, 485, 3997, 81, 20711, 81, 1762, 47, 2314, 96, 81, 1762, 81, 668, 77, 37, 79, 284, 829, 284, 337, 2121, 81, 1338, 280, 11768, 3597, 331, 81, 3922, 32, 2208, 81, 6974, 3597, 331, 81, 2255, 26, 291, 337, 2121, 30, 291, 485, 3997, 81, 1251, 81, 1762, 47, 2314, 96, 81, 1762, 81, 668, 77, 34, 614, 291, 3051, 81, 3841, 81, 1762, 47, 2314, 96, 81, 1762, 81, 668, 77, 35, 614, 291, 485, 3997, 81, 2024, 81, 1762, 47, 2314, 96, 81, 1762, 81, 668, 77, 36, 614, 291, 485, 3997, 81, 20711, 81, 1762, 47, 2314, 96, 81, 1762, 81, 668, 77, 37, 79, 284, 829, 284, 415, 2069, 26, 91, 81, 853, 32, 3229, 27, 848, 225, 35, 44, 291, 337, 81, 853, 280, 2065, 32, 9880, 2009, 1657, 26, 97, 2121, 81, 1338, 710, 2024, 81, 668, 16578, 595, 81, 853, 32, 3229, 77, 35, 13138, 284, 813, 44, 291, 337, 81, 853, 280, 2065, 32, 9880, 2009, 1657, 26, 97, 2121, 81, 1338, 710, 2024, 81, 668, 3490, 1130, 284, 1201, 2069, 26, 91, 81, 853, 27, 610, 2069, 26, 91, 2121, 81, 1338, 710, 2024, 81, 668, 3490, 284, 595, 2121, 81, 1251, 81, 426, 81, 668, 280, 428, 1251, 710, 426, 785, 436, 1541, 328, 595, 2121, 81, 1338, 710, 3242, 18038, 284, 436, 1688, 81, 314, 30, 1688, 81, 1251, 81, 314, 328, 10703, 26, 97, 2121, 81, 1338, 710, 2024, 81, 668, 37886, 291, 1541, 81, 426, 280, 337, 2121, 81, 1338, 710, 3242, 8150, 2024, 81, 1251, 81, 314, 5795, 426, 785, 291, 415, 1541, 81, 426, 328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 0, 3, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 6, 7, 7, 7, 7, 7, 7, 6, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 6, 5, 5, 6, 4, 4, 7, 6, 6, 8, 8, 8, 5, 6, 6, 6, 9, 9, 8, 9, 8, 10, 10, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 8, 9, 8, 6, 6, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 8, 9, 8, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 8, 9, 8, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 8, 9, 8, 6, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 8, 9, 8, 6, 6, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 8, 9, 8, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 8, 9, 8, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 8, 9, 8, 6, 6, 2, 2, 3, 6, 8, 8, 8, 7, 8, 6, 4, 4, 5, 3, 3, 3, 7, 7, 6, 6, 8, 9, 8, 11, 11, 13, 13, 13, 13, 12, 14, 14, 14, 14, 9, 12, 12, 11, 12, 10, 11, 10, 3, 3, 4, 4, 4, 8, 8, 7, 7, 9, 10, 9, 12, 12, 14, 14, 14, 14, 13, 15, 15, 15, 15, 10, 2, 2, 3, 6, 7, 7, 7, 6, 4, 4, 6, 8, 8, 8, 8, 7, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 6, 8, 8, 5, 6, 6, 6, 8, 8, 8, 7, 9, 9, 2, 2, 3, 5, 5, 4, 4, 5, 5, 5, 5, 3, 3, 5, 7, 7, 7, 7, 6, 8, 8, 8, 8, 3, 3, 7, 7, 6, 6, 10, 10, 10, 9, 11, 11, 9, 9, 9, 9, 9, 8, 9, 9, 4, 4, 5, 7, 7, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 5, 5, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 7, 7, 7, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 4, 4, 6, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 6, 6, 6, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 3, 2, 3, 6, 6, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 3, 1, 2, 4, 4, 9, 0, 0, 1, 1, 2, 2, 2, 2, 9, 9, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 5, 5, 1, 0, 0, 1 ]
[ 823, 19104, 44, 284, 665, 1156, 1664, 3207, 784, 30, 2787, 81, 4243, 19066, 711, 291, 415, 827, 26, 3274, 81, 4243, 27, 863, 1149, 44, 324, 3636, 12678, 26, 400, 313, 1318, 529, 3274, 81, 4243, 82, 2793, 2298, 526, 432, 827, 1149, 657, 291, 630, 32, 5905, 280, 428, 466, 26, 426, 27, 436, 636, 328, 2787, 81, 4243, 79, 291, 630, 32, 605, 280, 1605, 284, 665, 1015, 81, 31113, 1150, 26, 784, 30, 39187, 1150, 711, 291, 2260, 280, 2149, 16189, 415, 2069, 26, 784, 32, 5905, 27, 610, 225, 34, 44, 23688, 415, 2069, 26, 784, 32, 605, 27, 848, 225, 34, 461, 2069, 26, 784, 32, 605, 77, 34, 1130, 863, 2069, 26, 31113, 1150, 711, 400, 3636, 12678, 440, 1318, 537, 39187, 1150, 2298, 526, 432, 322, 2432, 1334, 313, 474, 1378, 313, 302, 322, 1604, 39187, 44462, 32, 886, 537, 39187, 1150, 313, 474, 1378, 313, 2040, 1334, 313, 474, 596, 26, 1657, 26, 31113, 1150, 490, 474, 3003, 1273, 313, 474, 1378, 313, 1382, 1604, 39187, 44462, 1159, 1334, 313, 474, 1378, 596, 26, 1657, 26, 784, 32, 605, 77, 34, 5259, 474, 4939, 657, 324, 595, 280, 225, 34, 324, 436, 786, 328, 39187, 1150, 44, 400, 2260, 1365, 3274, 20, 474, 596, 26, 91, 2177, 280, 630, 3667, 1270, 2208, 3207, 853, 27, 400, 595, 1454, 225, 35, 324, 630, 32, 605, 32, 1689, 26, 1493, 27, 324, 442, 291, 415, 2069, 26, 31113, 1150, 27, 863, 2069, 26, 784, 32, 5905, 711, 324, 3636, 12678, 440, 1318, 39187, 1150, 2298, 526, 432, 322, 2432, 1334, 619, 313, 474, 1014, 313, 1382, 5359, 1149, 32, 886, 5359, 1149, 1401, 1334, 313, 474, 1014, 596, 26, 1657, 26, 784, 32, 5905, 490, 474, 313, 461, 322, 39187, 1150, 313, 474, 1014, 313, 2040, 1334, 313, 474, 596, 26, 1657, 26, 31113, 1150, 490, 474, 4939, 886, 313, 474, 1014, 313, 31113, 1150, 438, 313, 474, 596, 26, 31113, 1150, 490, 291, 595, 280, 225, 34, 291, 436, 2787, 81, 426, 328, 630, 32, 5905, 44, 324, 2260, 77, 3274, 81, 426, 79, 280, 630, 3667, 1270, 2208, 3207, 31113, 1150, 77, 91, 1130, 324, 595, 1454, 225, 35, 291, 630, 32, 605, 32, 1689, 26, 1493, 27, 10065, 665, 1156, 1657, 3207, 784, 711, 291, 442, 2069, 26, 784, 32, 605, 27, 284, 665, 1156, 1731, 3207, 784, 711, 291, 442, 3850, 26, 784, 32, 605, 27, 284, 665, 1156, 33644, 3207, 784, 30, 1202, 711, 291, 415, 827, 26, 678, 27, 863, 629, 44, 324, 3636, 12678, 440, 1318, 1650, 2298, 526, 600, 4991, 30, 4174, 5424, 313, 474, 1202, 27, 291, 442, 630, 32, 605, 77, 678, 79, 284, 665, 1156, 1270, 2208, 3207, 784, 30, 786, 711, 291, 786, 280, 786, 32, 7201, 346, 291, 415, 827, 26, 853, 27, 863, 596, 44, 324, 442, 786, 291, 1596, 44, 324, 442, 629, 26, 853, 27, 291, 2940, 10091, 44, 324, 3097, 291, 1596, 44, 324, 442, 1897, 26, 853, 27, 291, 2940, 10091, 44, 324, 3097, 291, 442, 786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 5, 4, 4, 6, 6, 5, 4, 3, 3, 5, 8, 9, 9, 9, 8, 6, 6, 5, 5, 5, 7, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 9, 9, 10, 9, 7, 8, 8, 8, 9, 9, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 8, 10, 9, 10, 8, 6, 6, 7, 5, 5, 5, 7, 11, 13, 12, 13, 11, 9, 9, 10, 8, 8, 11, 14, 13, 14, 12, 13, 12, 9, 9, 11, 12, 12, 11, 7, 7, 9, 11, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 18, 18, 18, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 17, 17, 17, 19, 19, 19, 16, 16, 18, 20, 20, 21, 21, 20, 15, 15, 17, 17, 14, 14, 14, 16, 16, 16, 16, 16, 16, 16, 13, 13, 13, 15, 17, 17, 20, 19, 20, 18, 19, 18, 12, 12, 14, 6, 6, 8, 8, 9, 6, 6, 7, 7, 7, 8, 7, 7, 7, 11, 14, 14, 12, 12, 14, 15, 14, 10, 10, 12, 13, 13, 13, 13, 12, 8, 8, 10, 10, 11, 6, 6, 10, 11, 9, 10, 9, 10, 9, 6, 6, 4, 4, 5, 8, 9, 9, 8, 6, 6, 8, 10, 9, 10, 8, 5, 5, 7, 9, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 17, 17, 17, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 16, 16, 16, 18, 20, 20, 22, 21, 22, 20, 15, 15, 17, 17, 17, 17, 17, 14, 14, 14, 16, 16, 16, 13, 13, 15, 17, 17, 18, 18, 17, 12, 12, 14, 14, 11, 11, 11, 13, 13, 13, 13, 10, 10, 12, 13, 13, 12, 4, 4, 6, 6, 7, 4, 4, 5, 6, 6, 5, 5, 6, 7, 5, 5, 5, 9, 10, 10, 10, 9, 8, 8, 10, 11, 11, 11, 12, 12, 11, 12, 11, 6, 6, 8, 8, 9, 4, 4, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 8, 6, 6, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 4, 4, 5, 7, 8, 6, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 8, 9, 8, 6, 6, 5, 5, 5, 7, 4, 4, 5, 5, 5, 7, 9, 10, 9, 5, 5, 6, 6, 6, 6, 4, 4, 5, 5, 5, 7, 9, 10, 9, 5, 5, 6, 6, 6, 6, 4, 4, 5 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 3, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 4, 4, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 5, 5, 0, 0, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 3, 3, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 4, 1, 1, 4, 4, 3, 2, 4, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 5, 5, 0, 0, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 3, 3, 3, 1, 1, 1, 2, 3, 3, 0, 1, 0, 1, 2, 1, 3, 3, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 2, 1, 3, 3, 5, 1, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 3, 0, 1, 1, 1, 3, 3, 3, 3, 3, 3, 4, 4, 4 ]
[ 465, 22045, 30, 22045, 36, 203, 465, 281, 5123, 203, 465, 2322, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 525, 1188, 17874, 11445, 30, 17874, 203, 1070, 8527, 32, 12023, 32, 2393, 1188, 6207, 30, 21307, 30, 19087, 59, 6258, 81, 6447, 81, 2474, 203, 1070, 8527, 32, 36287, 1188, 622, 81, 1473, 81, 271, 81, 38, 34, 38, 30, 2908, 81, 452, 81, 1986, 203, 1070, 8527, 32, 2387, 1188, 4448, 1222, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 28497, 1188, 6207, 81, 3648, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 1070, 8527, 32, 2304, 32, 525, 1188, 1984, 7345, 203, 1070, 8527, 32, 2304, 1188, 4281, 1260, 619, 2361, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 30, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 8527, 32, 12023, 1188, 5218, 203, 1070, 337, 4846, 384, 105, 4453, 1188, 16812, 2551, 203, 1070, 24764, 1188, 24764, 203, 465, 337, 4846, 384, 105, 4453, 203, 1070, 9565, 648, 32, 7491, 32, 3524, 32, 2304, 1188, 622, 81, 1536, 81, 7344, 30, 1256, 81, 2751, 203, 1070, 9565, 648, 32, 7491, 32, 3524, 32, 4338, 1188, 6207, 619, 3497, 81, 3615, 203, 1070, 15332, 3517, 32, 2304, 1188, 8909, 30, 3772, 1074, 203, 1070, 15332, 3517, 32, 8538, 1188, 546, 2393, 40667, 1241, 203, 1070, 15332, 3517, 32, 3378, 1188, 2680, 39778, 15374, 203, 4146, 780, 2916, 81, 1725, 14401, 527, 81, 3307, 280, 18623, 26, 3550, 30, 330, 4146, 780, 2916, 81, 1725, 14401, 527, 81, 3307, 370, 330, 25735, 81, 3307, 683, 203, 4146, 780, 2916, 81, 1725, 14401, 527, 81, 17252, 280, 18623, 26, 3550, 30, 330, 4146, 780, 2916, 81, 1725, 14401, 527, 81, 17252, 370, 330, 25735, 81, 17252, 683, 203, 9382, 26791, 81, 1725, 14401, 527, 81, 3307, 280, 18623, 26, 3550, 30, 330, 9382, 26791, 81, 1725, 14401, 527, 81, 3307, 370, 330, 25735, 81, 3307, 683, 203, 9382, 26791, 81, 1725, 14401, 527, 81, 17252, 280, 18623, 26, 3550, 30, 330, 9382, 26791, 81, 1725, 14401, 527, 81, 17252, 370, 330, 25735, 81, 17252, 683, 203, 823, 13136, 1074, 26, 1761, 1074, 711, 284, 1984, 426, 81, 5607, 280, 330, 10676, 3517, 81, 10886, 16335, 101, 25, 284, 665, 745, 81, 13131, 993, 26, 784, 30, 1326, 711, 291, 354, 280, 630, 32, 1981, 81, 3615, 26, 1357, 27, 291, 415, 354, 438, 646, 2933, 44, 442, 354, 291, 415, 1326, 32, 1959, 610, 313, 3705, 563, 324, 312, 81, 314, 280, 1326, 32, 3705, 32, 371, 463, 314, 370, 1665, 27, 324, 1596, 44, 400, 32232, 280, 2680, 39778, 15374, 32, 5740, 32, 371, 26, 715, 1256, 280, 1326, 32, 496, 30, 804, 280, 312, 81, 314, 27, 400, 5218, 32, 669, 81, 1436, 26, 1357, 30, 5218, 32, 6685, 30, 528, 1044, 33170, 27265, 715, 28710, 8128, 3387, 372, 18147, 2393, 81, 681, 27, 101, 16501, 4809, 636, 18147, 699, 27, 101, 32, 528, 3330, 657, 904, 301, 715, 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, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 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, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 5, 6, 6, 6, 5, 5, 7, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 12, 12, 10, 10, 6, 6, 7, 7, 7, 10, 10, 14, 14, 13, 14, 12, 13, 12, 12, 12, 13, 13, 14, 15, 12, 12, 13, 13, 14, 14, 12, 8, 8, 11, 12, 12, 12, 11, 12, 11, 11, 12, 13, 11, 11, 11, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 12, 12, 13, 13 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 4, 8, 8, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 12, 12, 1, 2, 12, 12, 0, 3, 3, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 13, 13, 0, 0, 0, 5, 5, 0, 14, 14, 1, 2, 14, 14, 0, 15, 15, 0, 0, 0, 0, 15, 15, 0, 0, 16, 16, 16, 16, 0, 17, 17, 0, 0, 0, 0, 0, 18, 18, 0, 1, 2, 1, 4, 1, 6, 18, 18, 0, 0, 0, 0, 18, 18, 0, 0, 0, 19, 19, 0, 1, 2, 1, 4, 1, 6, 19, 19, 3, 3, 2, 2, 0, 20, 20, 0, 1, 2, 20, 20, 20, 20, 0, 0, 21, 21, 0, 1, 2, 21, 21, 0, 0, 0, 0, 22, 22, 0, 1, 2, 22, 22, 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, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 27, 27, 1, 2, 1, 1, 2, 27, 27, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 2, 2 ]
[ 465, 15798, 203, 1070, 44606, 36147, 32, 3945, 1188, 24920, 203, 1070, 44606, 36147, 32, 1439, 32, 858, 32, 1439, 1188, 2108, 1063, 4711, 6636, 30, 2108, 936, 5725, 4711, 6636, 203, 465, 316, 203, 823, 2108, 1063, 2338, 3181, 2365, 26, 18986, 32, 7233, 30, 2108, 1063, 4711, 6636, 711, 284, 477, 17614, 284, 665, 14553, 1339, 26, 6933, 711, 291, 4749, 81, 3225, 280, 313, 35, 36, 41, 32, 34, 32, 34, 32, 35, 20, 291, 952, 280, 313, 21923, 20, 291, 3882, 280, 313, 21923, 20, 291, 9011, 32, 7980, 280, 313, 3945, 20, 291, 5302, 81, 1132, 280, 3447, 625, 563, 225, 35, 36, 36, 34, 38, 30, 313, 3316, 81, 761, 81, 2946, 563, 313, 3608, 9237, 1924, 111, 291, 9011, 32, 2929, 280, 24920, 32, 2338, 3181, 2365, 26, 324, 4749, 81, 3225, 30, 952, 30, 3882, 30, 5302, 81, 1132, 47, 5301, 81, 1132, 291, 829, 291, 9011, 32, 2929, 32, 1676, 346, 291, 9011, 32, 2929, 32, 944, 81, 3227, 81, 16142, 26, 3607, 28664, 101, 33, 4332, 32, 2957, 20, 904, 9011, 32, 7980, 27, 291, 9011, 32, 2929, 32, 3375, 81, 1163, 346, 284, 665, 894, 81, 3945, 81, 2585, 81, 8853, 26, 784, 711, 291, 630, 32, 2929, 32, 944, 81, 3227, 81, 16142, 26, 3607, 28664, 101, 33, 4332, 32, 2957, 20, 904, 630, 32, 7980, 27, 291, 630, 32, 2929, 32, 3375, 81, 1163, 346, 291, 1688, 280, 630, 32, 2929, 32, 2929, 32, 2714, 81, 2501, 440, 2245, 1420, 523, 6971, 803, 13012, 657, 291, 1688, 280, 1688, 32, 7201, 346, 291, 630, 32, 5299, 26, 2024, 30, 7746, 291, 630, 32, 2929, 1114, 5820, 81, 8853, 346, 291, 1688, 280, 630, 32, 2929, 32, 2929, 32, 2714, 81, 2501, 440, 2245, 1420, 523, 6971, 803, 13012, 657, 291, 1688, 280, 1688, 32, 7201, 346, 291, 630, 32, 5299, 26, 2024, 30, 313, 761, 13012, 28805, 657, 291, 630, 32, 2929, 1114, 4898, 81, 8853, 346, 291, 1688, 280, 630, 32, 2929, 32, 2929, 32, 2714, 81, 2501, 440, 2245, 1420, 523, 6971, 803, 13012, 657, 291, 1688, 280, 1688, 32, 7201, 346, 291, 630, 32, 5299, 26, 2024, 30, 7746, 284, 665, 894, 81, 3945, 81, 2585, 81, 2518, 81, 2620, 81, 983, 26, 784, 711, 291, 1688, 280, 630, 32, 2929, 1114, 2518, 81, 2620, 81, 983, 26, 784, 32, 2929, 32, 16142, 81, 4687, 27, 291, 630, 32, 5299, 26, 2024, 30, 630, 32, 2929, 32, 3316, 81, 761, 81, 2946, 474, 2430, 16142, 81, 1163, 32, 2760, 657, 291, 1688, 280, 630, 32, 2929, 1114, 2518, 81, 2620, 81, 983, 26, 784, 32, 2929, 32, 24654, 81, 4687, 27, 291, 630, 32, 5299, 26, 2024, 30, 630, 32, 2929, 32, 3316, 81, 761, 81, 2946, 474, 2430, 24654, 81, 1163, 32, 2760, 657, 291, 1688, 280, 630, 32, 2929, 1114, 2518, 81, 2620, 81, 983, 26, 784, 32, 2929, 32, 6077, 81, 4687, 27, 291, 630, 32, 5299, 26, 2024, 30, 630, 32, 2929, 32, 3316, 81, 761, 81, 2946, 474, 2430, 6077, 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, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 2, 3, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 7, 9, 9, 5, 5, 7, 7, 9, 9, 5, 5, 8, 9, 7, 7, 9, 9, 5, 5, 8, 8, 7, 7, 11, 11, 9, 10, 10, 10, 10, 10, 8, 8, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 8, 5, 5, 8, 9, 7, 7, 9, 10, 10, 10, 9, 9, 9, 10, 10, 9, 9, 9, 9, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 5, 5, 9, 10, 8, 9, 8, 5, 5, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 9, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 8, 5, 5, 9, 10, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 8, 8, 7, 9, 8, 11, 11, 11, 11, 11, 11, 9, 9, 10, 11, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 4, 4, 6, 6, 10, 11, 9, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 4, 4, 6, 6, 10, 11, 9, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 4, 4, 6, 6, 10, 11, 9, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 11, 10, 11, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 11, 10, 11, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 11, 10, 11, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 3, 3, 3, 2, 4, 4, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 3, 3, 1, 1 ]
[ 1070, 44524, 1188, 44524, 203, 1070, 25312, 834, 32, 2795, 1188, 4187, 203, 1070, 25312, 834, 32, 2795, 32, 2021, 1188, 4187, 885, 30, 1361, 2795, 203, 1070, 343, 338, 42946, 32, 5721, 1188, 902, 2865, 444, 5506, 203, 1070, 343, 338, 42946, 32, 1786, 1188, 26525, 9004, 1972, 203, 1070, 29164, 103, 3291, 32, 11514, 1188, 2454, 81, 7878, 203, 1070, 29164, 103, 3291, 32, 11514, 32, 86, 338, 42946, 32, 2304, 1188, 3704, 10564, 203, 1070, 29164, 103, 3291, 32, 8246, 1188, 14353, 2247, 203, 823, 617, 11714, 9004, 1972, 26, 11714, 9004, 1972, 711, 284, 665, 617, 4699, 81, 2423, 26, 784, 30, 29284, 711, 291, 1056, 280, 2599, 2176, 11714, 9004, 1972, 30, 630, 42690, 4699, 81, 2423, 26, 8046, 27, 291, 2287, 280, 5436, 26, 1267, 27, 291, 630, 1114, 7127, 81, 8046, 280, 1605, 291, 436, 3610, 5567, 30, 537, 5567, 30, 2488, 328, 29284, 44, 324, 415, 2287, 77, 612, 79, 610, 330, 1253, 950, 400, 630, 1114, 7127, 81, 8046, 32, 1689, 1162, 1455, 5567, 30, 537, 5567, 30, 2488, 490, 291, 442, 1056, 203, 823, 26525, 9004, 2247, 26, 2247, 711, 284, 665, 1420, 26, 784, 30, 36467, 30, 5867, 81, 983, 30, 706, 711, 291, 9161, 280, 2454, 81, 7878, 26, 32534, 30, 5867, 81, 983, 30, 3320, 47, 2700, 27, 291, 963, 280, 44524, 346, 291, 3642, 280, 902, 2865, 444, 5506, 26, 652, 2338, 26, 605, 547, 850, 30, 963, 32, 1821, 27, 291, 4899, 280, 617, 11714, 9004, 1972, 26, 2595, 10564, 1026, 428, 7878, 614, 3642, 30, 1603, 2274, 81, 8358, 47, 1815, 27, 291, 4899, 32, 2956, 346, 291, 7652, 81, 8246, 280, 1605, 291, 436, 3610, 9882, 30, 537, 9882, 30, 636, 328, 4899, 1114, 7127, 81, 8046, 44, 324, 415, 636, 32, 15990, 463, 8046, 33, 20340, 33, 7831, 400, 5573, 280, 636, 77, 35, 35, 10056, 400, 7652, 81, 8246, 32, 1689, 26, 1113, 2795, 26, 4764, 2247, 30, 2181, 6020, 7878, 32, 32534, 30, 9161, 32, 983, 30, 3610, 9882, 30, 537, 9882, 30, 5573, 5259, 291, 415, 7652, 81, 8246, 44, 324, 2899, 470, 280, 4187, 885, 26, 8246, 47, 5207, 81, 8246, 27, 324, 2899, 470, 32, 4699, 81, 4396, 922, 2524, 346, 291, 442, 963, 32, 371, 853, 1026, 4899, 1114, 7127, 81, 8046, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 7, 6, 6, 7, 6, 6, 5, 5, 5, 5, 5, 7, 9, 10, 9, 8, 8, 10, 10, 7, 7, 12, 13, 13, 13, 11, 12, 11, 13, 13, 12, 12, 13, 12, 12, 12, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 8, 9, 8, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 6, 6, 8, 4, 4, 6, 6, 8, 8, 8, 8, 11, 11, 11, 12, 11, 10, 8, 8, 9, 10, 8, 4, 4, 6, 6, 8, 8, 8, 8, 10, 10, 10, 8, 10, 9, 8, 8, 8, 10, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 4, 4, 7, 7, 6, 6, 4, 4, 5, 7, 6, 6, 7, 6, 6, 5, 5, 6, 7, 7, 7, 5, 5, 5, 7, 9, 10, 9, 11, 11, 11, 11, 11, 7, 7, 10, 10, 11, 13, 13, 12, 8, 8, 12, 12, 11, 12, 11, 13, 13, 13, 14, 14, 13, 13, 14, 17, 16, 17, 15, 15, 16, 17, 15, 15, 16, 15, 15, 16, 15, 15, 15, 4, 4, 5, 6, 6, 5, 5, 5, 9, 8, 8, 10, 10, 12, 11, 12, 12, 12, 10, 6, 6, 12, 11, 12, 12, 12, 11, 10, 9, 4, 4, 5, 8, 9, 9, 8, 6, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 4, 4, 1, 6, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 0, 8, 8, 1, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 3, 0, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 4, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 2, 1, 4, 4, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 7, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 6, 0, 1, 1, 2, 1, 1, 6, 6, 3, 2, 2, 2, 6, 6, 6, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 3, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 7, 2, 2, 2, 4, 4, 7, 1, 1, 7, 7, 7, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 8, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 894, 2304, 32, 7828, 81, 1237, 32, 9165, 993, 32, 10785, 81, 5792, 32, 4554, 1188, 766, 284, 30801, 3300, 203, 1070, 12367, 325, 604, 81, 2304, 1188, 1778, 81, 314, 81, 1070, 81, 8031, 81, 314, 203, 589, 6042, 26, 10785, 1260, 30, 4082, 47, 2521, 711, 284, 11272, 280, 30801, 3300, 26, 10785, 1260, 27, 284, 1596, 44, 291, 540, 280, 11272, 32, 850, 346, 291, 4060, 280, 540, 32, 25749, 346, 284, 2940, 3268, 619, 484, 44, 291, 415, 4082, 44, 324, 4082, 32, 3893, 26, 87, 27, 291, 1459, 484, 291, 2080, 280, 3177, 284, 813, 44, 291, 2080, 280, 2933, 284, 1459, 11272, 32, 371, 81, 19991, 346, 284, 415, 4082, 44, 291, 4082, 32, 8447, 26, 8087, 32, 371, 81, 19991, 1157, 284, 442, 2080, 203, 589, 1201, 81, 2228, 26, 2232, 30, 3100, 711, 284, 1201, 1932, 610, 3100, 30, 766, 291, 5461, 101, 863, 904, 101, 20, 904, 308, 2232, 30, 3100, 27, 203, 589, 7279, 81, 10785, 81, 3958, 81, 48419, 26, 5110, 762, 13110, 30, 11607, 81, 1260, 30, 1477, 47, 34, 711, 284, 17211, 280, 11607, 81, 1260, 710, 23859, 785, 284, 883, 104, 5633, 280, 17211, 77, 34, 5795, 3374, 104, 5633, 785, 284, 1289, 81, 1028, 81, 2242, 280, 2069, 26, 5110, 762, 13110, 710, 2242, 3490, 284, 1201, 81, 2228, 26, 1657, 26, 23859, 471, 225, 35, 27, 284, 1201, 81, 2228, 26, 1657, 26, 3374, 104, 5633, 471, 1289, 81, 1028, 81, 2242, 474, 1477, 27, 284, 436, 595, 328, 35198, 26, 1366, 30, 1477, 29, 1347, 81, 1028, 81, 2242, 711, 291, 1201, 81, 2228, 26, 3374, 104, 5633, 77, 91, 5795, 1172, 2188, 3486, 9355, 762, 13110, 710, 2242, 8150, 91, 31, 1366, 5795, 426, 3490, 291, 1201, 81, 2228, 26, 3374, 104, 5633, 77, 91, 5795, 1644, 2188, 3486, 9355, 762, 13110, 710, 2242, 8150, 91, 31, 1366, 5795, 1644, 3490, 291, 1201, 81, 2228, 26, 3374, 104, 5633, 77, 91, 5795, 2273, 2188, 3486, 9355, 762, 13110, 710, 2242, 8150, 91, 31, 1366, 5795, 2273, 3490, 291, 1778, 81, 3142, 280, 883, 104, 5633, 77, 91, 5795, 2242, 8150, 34, 5795, 3142, 785, 291, 1201, 81, 2228, 26, 893, 81, 3142, 710, 2122, 4902, 50, 314, 2188, 3486, 9355, 762, 13110, 710, 2242, 8150, 91, 31, 1366, 5795, 983, 3490, 291, 1201, 81, 2228, 26, 893, 81, 3142, 710, 1644, 2188, 3486, 9355, 762, 13110, 710, 2242, 8150, 91, 31, 1366, 5795, 1644, 3490, 291, 1201, 81, 2228, 26, 893, 81, 3142, 710, 2273, 2188, 3486, 9355, 762, 13110, 710, 2242, 8150, 91, 31, 1366, 5795, 2273, 3490, 203, 589, 7279, 81, 10785, 81, 3968, 81, 468, 8013, 26, 10785, 81, 1260, 711, 284, 1201, 6042, 26, 10785, 81, 1260, 471, 766, 291, 313, 12062, 2361, 44, 766, 96, 23, 101, 78, 96, 438, 5535, 20, 904, 11607, 81, 1260, 203, 589, 1505, 81, 6368, 81, 3958, 26, 10785, 81, 1260, 30, 4245, 711, 284, 17211, 280, 11607, 81, 1260, 710, 23859, 785, 284, 883, 104, 5633, 280, 17211, 77, 34, 5795 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 1, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 6, 7, 7, 6, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 3, 3, 4, 5, 5, 4, 4, 4, 6, 6, 6, 6, 10, 11, 10, 11, 10, 5, 5, 6, 5, 5, 7, 7, 3, 3, 4, 4, 4, 7, 7, 2, 2, 3, 5, 6, 6, 6, 5, 2, 2, 3, 3, 3, 3, 7, 8, 7, 10, 9, 10, 10, 10, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 3, 3, 6, 6, 6, 6, 6, 4, 4, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 6, 5, 7, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 6, 8, 8, 8, 7, 9, 9, 2, 2, 5, 5, 5, 7, 7, 8, 7, 5, 6, 5, 2, 2, 5, 5, 5, 7, 7, 8, 8, 8, 7, 5, 7, 7, 7, 7, 6, 6, 5, 2, 2, 3, 3, 3, 5, 6, 5, 5, 6, 7, 7, 7, 7, 7, 5, 3, 3, 7, 7, 7, 10, 10, 10, 9, 10, 9, 10, 10, 7, 7, 11, 11, 10, 12, 12, 11, 10, 11, 9, 10, 10, 4, 4, 7, 7, 7, 10, 10, 10, 9, 10, 9, 10, 10, 7, 7, 11, 11, 10, 12, 12, 11, 10, 11, 9, 10, 10, 4, 4, 7, 7, 7, 10, 10, 10, 9, 10, 9, 10, 10, 7, 7, 11, 11, 10, 12, 12, 11, 10, 11, 9, 10, 10, 4, 4, 7, 7, 6, 6, 11, 11, 10, 11, 10, 11, 11, 9, 8, 9, 9, 4, 4, 7, 7, 7, 10, 10, 10, 9, 11, 11, 10, 10, 10, 7, 7, 11, 11, 10, 12, 12, 11, 10, 11, 9, 10, 10, 4, 4, 7, 7, 7, 9, 9, 9, 8, 10, 10, 7, 7, 11, 11, 10, 12, 12, 11, 10, 11, 9, 10, 10, 4, 4, 7, 7, 7, 9, 9, 9, 8, 10, 10, 7, 7, 11, 11, 10, 12, 12, 11, 10, 11, 9, 10, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 6, 6, 6, 5, 3, 3, 3, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 6, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 5, 7, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6 ]
[ 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 1, 6, 6, 6, 1, 8, 0, 0, 3, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 3, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 1, 1, 4, 4, 4, 0, 0, 4, 4, 2, 0, 2, 2, 2, 1, 4, 4, 3, 3, 3, 3, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 4, 0, 3, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 1, 2, 2, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 1, 4, 4, 5, 5, 5, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 5, 5, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 5, 5, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 5, 5, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 5, 5, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 5, 5, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0 ]
[ 465, 2322, 203, 465, 12460, 203, 1070, 1984, 2208, 1188, 1984, 2208, 203, 1070, 2869, 81, 9331, 32, 20404, 32, 1423, 32, 1423, 1188, 10285, 203, 1070, 2869, 81, 9331, 32, 20404, 32, 5379, 32, 21137, 81, 3142, 1188, 677, 10982, 2291, 203, 1070, 2869, 81, 9331, 32, 20404, 32, 8239, 32, 2991, 81, 5366, 11653, 1188, 1933, 81, 452, 81, 21137, 203, 1070, 2869, 81, 9331, 32, 20404, 32, 8239, 32, 371, 81, 1163, 1188, 622, 81, 1163, 203, 1070, 2869, 81, 9331, 32, 20404, 32, 8239, 1188, 9781, 4228, 203, 1070, 2869, 81, 9331, 32, 20404, 32, 8239, 32, 3034, 81, 5905, 1188, 1505, 81, 3034, 81, 3274, 203, 1070, 2869, 81, 9331, 32, 1262, 32, 5379, 32, 2122, 1188, 4851, 1063, 203, 1070, 2869, 81, 9331, 32, 1262, 32, 5379, 32, 2946, 1188, 2032, 30, 13005, 30, 10608, 203, 1070, 2869, 81, 9331, 32, 1262, 32, 1855, 1188, 14360, 974, 30, 10838, 30, 13290, 2028, 30, 29662, 3442, 203, 1070, 2869, 81, 9331, 32, 1262, 32, 7883, 1188, 619, 81, 496, 203, 1070, 2869, 81, 9331, 32, 20404, 32, 8239, 32, 297, 81, 2951, 1188, 438, 81, 2951, 203, 1070, 2869, 81, 9331, 32, 20404, 32, 5379, 32, 2593, 81, 1163, 1188, 12491, 1063, 203, 1070, 2869, 81, 9331, 32, 20404, 32, 8239, 32, 1643, 1188, 2179, 203, 1070, 2869, 81, 9331, 32, 1262, 32, 11452, 1188, 15819, 203, 1070, 2869, 81, 9331, 32, 1262, 32, 7883, 1188, 619, 81, 9860, 203, 1070, 2869, 81, 9331, 32, 1262, 32, 7883, 1188, 15358, 81, 5371, 81, 1132, 203, 1070, 2869, 81, 9331, 32, 1262, 32, 4073, 1188, 7139, 203, 1070, 2869, 81, 9331, 32, 1262, 1188, 8745, 203, 1070, 2869, 81, 9331, 32, 20404, 32, 8239, 32, 5522, 81, 24171, 81, 7133, 1188, 1401, 81, 24171, 81, 266, 81, 5176, 30, 4705, 81, 24171, 81, 7133, 203, 1070, 2869, 81, 9331, 32, 20404, 32, 8239, 32, 4373, 81, 8369, 1188, 1974, 81, 21114, 81, 6385, 81, 983, 203, 1070, 15459, 2807, 81, 8369, 32, 9777, 1188, 32465, 203, 1070, 15459, 2807, 81, 8369, 32, 500, 81, 5065, 81, 3106, 1188, 24133, 9160, 4206, 3482, 30, 24133, 9160, 3482, 203, 1070, 15459, 2807, 81, 8369, 1188, 6642, 2775, 203, 50, 14591, 9160, 4206, 3482, 26, 500, 81, 5065, 47, 14591, 9160, 3482, 32, 5807, 27, 203, 589, 420, 661, 26, 426, 47, 2521, 711, 334, 1188, 2803, 334, 420, 661, 81, 1580, 81, 2957, 81, 983, 280, 2179, 15062, 3034, 81, 2388, 3188, 1700, 5263, 2292, 81, 5660, 3188, 2957, 657, 334, 2926, 81, 4840, 1639, 280, 225, 34, 40, 38, 38, 415, 2803, 32, 22360, 81, 1163, 81, 1515, 610, 420, 661, 81, 1580, 81, 2957, 81, 983, 813, 225, 34, 40, 34, 34, 334, 10608, 26, 2132, 32, 22360, 81, 6698, 81, 1515, 81, 4254, 30, 324, 2926, 47, 34, 41, 39, 39, 334, 829, 334, 7139, 32, 1338, 440, 26084, 372, 5318, 623, 20098, 44, 904, 101, 20, 904, 596, 26, 2132, 32, 22360, 81, 2957, 81, 15615, 81, 668, 490, 334, 436, 3570, 81, 1515, 328, 2803 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 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, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 2, 4, 4, 4, 4, 4, 6, 6, 6, 5, 7, 7, 7, 6, 7, 4, 1, 2, 2, 3, 3, 5, 4, 5, 3, 2, 2, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 6, 6, 6, 5, 5, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 3, 3, 6, 8, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 7, 8, 8, 8, 8, 6, 6, 3, 3, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 11, 10, 11, 11, 11, 11, 11, 11, 11, 9, 3, 3, 4, 5, 5, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 0, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 10, 10, 0, 0, 1, 2, 1, 4, 1, 6, 10, 10, 10, 10, 10, 10, 0, 11, 11, 0, 0, 1, 2, 1, 4, 11, 11, 0, 11, 11, 11, 11, 0, 11, 11, 0, 0, 12, 12, 0, 0, 1, 2, 1, 4, 12, 12, 0, 0, 0, 13, 13, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 13, 13, 0, 0, 0, 14, 14, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 14, 14, 0, 0, 15, 15, 0, 0, 1, 2, 1, 4, 1, 6, 15, 15, 0, 16, 16, 0, 0, 1, 2, 1, 4, 16, 16, 0, 17, 17, 0, 0, 1, 2, 1, 4, 17, 17, 0, 0, 0, 18, 18, 0, 0, 1, 2, 1, 4, 18, 18, 0, 0, 0, 0, 0, 19, 19, 0, 0, 1, 2, 1, 4, 19, 19, 0, 20, 20, 0, 0, 1, 2, 20, 20, 0, 21, 21, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 21, 21, 0, 0, 0, 0, 0, 0, 21, 21, 0, 0, 0, 0, 0, 22, 22, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 22, 22, 0, 0, 0, 0, 0, 0, 0, 23, 23, 0, 0, 0, 1, 2, 23, 23, 0, 24, 24, 0, 0, 0, 1, 2, 2, 2, 2, 2, 24, 24, 0, 0, 0, 24, 24, 0, 0, 0, 25, 25, 0, 0, 0, 25, 25, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 26, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 5, 1, 1, 5, 5 ]
[ 21, 262, 334, 645, 8527, 32, 1262, 1188, 27927, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 17311, 21677, 32, 1439, 32, 1237, 1188, 34281, 203, 1070, 17311, 21677, 32, 1439, 32, 4151, 1188, 447, 89, 1261, 1176, 203, 1070, 17311, 21677, 32, 7297, 32, 3378, 1188, 5412, 203, 1070, 638, 3378, 1188, 2680, 30, 13936, 203, 1070, 638, 4255, 1188, 622, 81, 8992, 81, 271, 81, 771, 9701, 81, 965, 30, 622, 81, 7380, 81, 8992, 81, 271, 81, 771, 9701, 81, 965, 203, 465, 316, 203, 765, 823, 12141, 3196, 5287, 7262, 26, 34243, 32, 1243, 7262, 711, 284, 443, 11985, 44, 291, 1542, 280, 5412, 291, 3829, 280, 2884, 314, 392, 313, 7794, 392, 313, 426, 657, 203, 823, 2680, 7262, 26, 34243, 32, 1243, 7262, 711, 284, 3536, 81, 426, 81, 2751, 280, 34281, 32, 7262, 1868, 1176, 440, 371, 81, 2620, 81, 426, 81, 2751, 657, 284, 15110, 280, 34281, 32, 7262, 1868, 1176, 440, 371, 81, 8992, 657, 284, 6524, 81, 8992, 280, 34281, 32, 7262, 1868, 1176, 440, 371, 81, 7380, 81, 8992, 657, 284, 13479, 280, 34281, 32, 7262, 1868, 1176, 440, 371, 81, 9715, 657, 284, 8528, 81, 1793, 81, 289, 280, 34281, 32, 7262, 1868, 1176, 440, 371, 81, 7297, 81, 1793, 81, 289, 657, 284, 443, 11985, 44, 291, 1542, 280, 2680, 291, 588, 351, 588, 351, 3829, 280, 2884, 314, 392, 313, 699, 392, 313, 2620, 81, 426, 392, 313, 2620, 81, 426, 81, 2751, 392, 1750, 313, 1489, 392, 313, 12761, 392, 313, 1581, 392, 313, 4661, 392, 313, 18218, 392, 313, 297, 81, 2480, 392, 1750, 313, 8992, 392, 313, 7380, 81, 8992, 392, 313, 9715, 392, 313, 7297, 81, 1793, 81, 289, 657, 291, 1491, 81, 2585, 81, 4151, 280, 2884, 314, 392, 27, 284, 665, 6042, 81, 699, 26, 784, 30, 11758, 30, 1914, 711, 291, 786, 280, 11758, 77, 1855, 79, 291, 13420, 280, 27927, 32, 10851, 7063, 26, 268, 32, 6993, 463, 80, 13644, 105, 22177, 6155, 22, 1425, 26155, 5790, 952, 2113, 13588, 26155, 5790, 2131, 291, 1596, 44, 324, 13420, 26, 853, 27, 291, 2940, 40075, 44, 324, 3636, 34281, 32, 24536, 41648, 5413, 32, 225, 36, 39, 39, 7125, 556, 36845, 32, 10251, 5725, 30, 313, 4180, 313, 14951, 461, 517, 1569, 31, 8501, 7125, 25, 2131, 291, 415, 308, 784, 32, 1473, 461, 400, 630, 32, 1473, 32, 699, 863, 786, 461, 400, 2680, 32, 5740, 32, 2029, 26, 699, 47, 853, 547, 4658, 22805, 324, 3636, 34281, 32, 24536, 41648, 3817, 952, 32, 8959, 623, 312, 3449, 1591, 47136, 291, 442, 11758, 284, 665, 622, 81, 2620, 81, 426, 81, 2751, 26, 784, 30, 2830, 711, 291, 442, 2830, 32, 371, 81, 2620, 81, 426, 346, 415, 2830, 813, 3330, 284, 665, 622, 81, 8992, 26, 784, 30, 1256, 711, 291, 442, 622, 81, 8992, 81, 271, 81, 771, 9701, 81, 965, 26, 496, 27, 284, 665, 622, 81, 7380, 81, 8992 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 0, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 4, 4, 2, 2, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 4, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 7, 8, 7, 4, 4, 6, 6, 8, 9, 9, 8, 11, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 8, 12, 12, 12, 8, 8, 12, 12, 4, 4, 5, 5, 5, 9, 10, 9, 5, 5, 6, 6, 6, 6, 8, 10, 11, 10, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 4, 4, 5, 10, 9, 10, 8, 8, 8, 11, 12, 10, 11, 9, 9, 7, 7, 7, 12, 13, 11, 12, 11, 13, 12, 13, 11, 10, 9, 5, 5, 7, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 9, 9, 9, 9, 8, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 7, 7, 0, 7, 7, 7, 7, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 0, 11, 11, 11, 11, 0, 0, 3, 3, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 12, 12, 1, 2, 0, 1, 2, 2, 2, 12, 12, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 5, 5, 5, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 3, 1, 2, 3, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 9, 1, 1, 1, 1 ]
[ 465, 316, 203, 1070, 18792, 1188, 3850, 3028, 203, 1070, 4377, 1188, 1123, 30, 4942, 30, 4082, 203, 1070, 4377, 4313, 32, 11452, 1188, 538, 203, 1070, 4377, 8774, 1188, 622, 2413, 30, 1930, 81, 2848, 203, 1270, 44, 284, 1188, 5592, 32, 48609, 32, 85, 1308, 3350, 619, 2971, 972, 203, 7343, 29986, 44, 284, 1188, 5592, 32, 48609, 32, 1308, 3350, 619, 2971, 972, 203, 823, 3182, 1889, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 5078, 280, 301, 324, 330, 74, 31, 66, 1909, 31, 3033, 31, 558, 950, 330, 8659, 24941, 370, 324, 330, 74, 31, 66, 1909, 31, 3409, 950, 330, 8659, 24941, 3182, 1889, 370, 324, 330, 74, 31, 66, 1909, 31, 1486, 31, 5541, 950, 4942, 32, 4975, 81, 28322, 30, 324, 330, 74, 31, 66, 1909, 31, 2062, 950, 330, 36, 34, 35, 40, 32, 34, 36, 32, 35, 34, 25, 291, 320, 291, 630, 32, 2848, 280, 1930, 81, 2848, 346, 284, 477, 16099, 284, 665, 617, 9353, 81, 98, 384, 26, 1436, 30, 1780, 1057, 8659, 24941, 370, 3408, 47, 2521, 30, 952, 47, 2521, 30, 3882, 47, 2521, 30, 7650, 47, 2700, 711, 16189, 645, 638, 1188, 23615, 91, 81, 34176, 291, 415, 646, 1123, 32, 4855, 81, 66, 15156, 81, 10923, 461, 646, 7650, 44, 324, 442, 3177, 291, 3408, 280, 3408, 556, 1123, 32, 66, 15156, 81, 10923, 81, 8472, 291, 952, 280, 952, 556, 1123, 32, 66, 15156, 81, 10923, 81, 19452, 291, 3882, 280, 3882, 556, 1123, 32, 66, 15156, 81, 10923, 81, 13001, 291, 442, 23615, 91, 81, 34176, 1114, 9353, 81, 93, 32911, 26, 1436, 30, 1780, 47, 1311, 30, 3408, 47, 2035, 30, 952, 47, 699, 30, 3882, 47, 2895, 30, 7650, 47, 5538, 30, 3466, 81, 725, 347, 66, 15156, 657, 10065, 665, 11748, 81, 4636, 746, 26, 784, 30, 11227, 81, 426, 30, 438, 81, 35725, 711, 291, 415, 1123, 32, 66, 15156, 81, 32234, 81, 567, 12425, 6520, 44, 324, 630, 1114, 9353, 81, 98, 384, 26, 929, 81, 426, 30, 4942, 32, 9353, 9634, 9357, 2282, 32, 32234, 81, 12425, 6520, 30, 4942, 32, 32234, 81, 12425, 6520, 81, 10747, 5594, 297, 81, 35725, 13138, 284, 665, 11748, 81, 4984, 26, 784, 30, 11227, 81, 426, 711, 291, 415, 1123, 32, 66, 15156, 81, 32234, 81, 567, 24264, 44, 324, 630, 1114, 9353, 81, 98, 384, 26, 929, 81, 426, 30, 4942, 32, 9353, 9634, 77, 2282, 32, 32234, 81, 24264, 1130, 284, 665, 11748, 81, 15367, 81, 4984, 26, 784, 30, 11227, 81, 426, 30, 7275, 711, 291, 415, 1123, 32, 66, 15156, 81, 32234, 81, 567, 7100, 13777, 24264, 44, 324, 630, 1114, 9353, 81, 98, 384, 26, 929, 81, 426, 474, 14589, 330, 474, 7275, 30, 4942, 32, 9353, 9634, 77, 2282, 32, 32234, 81, 7100, 13777, 81, 24264, 1130, 284, 665, 11748, 81, 2912, 81, 1877, 26, 784, 30, 537, 81, 1648, 1057, 10397, 7831, 291, 415, 1123, 32, 32234, 81, 567, 81, 8758, 44, 324, 1974, 81, 878, 280, 4942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 3, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 5, 6, 5, 6, 6, 6, 4, 4, 5, 1, 2, 2, 2, 2, 2, 4, 6, 7, 6, 7, 7, 5, 5, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 8, 8, 8, 5, 6, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 6, 6, 8, 8, 8, 5, 5, 6, 8, 9, 10, 10, 10, 10, 10, 10, 7, 7, 8, 6, 6, 6, 8, 5, 5, 7, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 5, 5, 7, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 5, 5, 7, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 5, 5, 6, 9, 9, 9, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 10, 10, 9, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 9, 10, 10, 10, 9, 9, 11, 12, 12, 10, 14, 13, 14, 14, 14, 14, 12, 12, 13, 14, 14, 14, 14, 14, 14, 12, 12, 12, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 9, 10, 10, 10, 9, 9, 11, 12, 12, 10, 12, 11, 12, 12, 12, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 9, 12, 12, 12, 11, 11, 13, 10, 10, 9, 9, 11, 12, 12, 10, 12, 11, 12, 12, 12, 12, 12, 12, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 5, 7, 7, 3, 3, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 9, 9, 8, 8 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 5, 5, 0, 0, 2, 0, 4, 4, 4, 1, 1, 2, 5, 3, 3, 3, 3, 3, 0, 0, 2, 0, 4, 4, 1, 1, 2, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 1, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 2, 1, 1, 11, 2, 1, 1, 0, 0, 13, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 3, 0, 1, 2, 2, 2, 2, 0, 0, 3, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 3, 0, 2, 2, 2, 2, 3, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 4, 4, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 1, 2, 5, 5, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 48885, 38, 1188, 10701, 2852, 30, 34031, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 3378, 280, 1665, 203, 823, 7400, 1241, 1074, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 9031, 280, 2933, 291, 630, 32, 2853, 1711, 32, 19663, 32, 3517, 26, 784, 32, 1409, 5126, 27, 284, 665, 4230, 1151, 26, 784, 30, 1692, 711, 291, 313, 351, 630, 32, 1409, 4173, 346, 291, 1692, 32, 7494, 346, 284, 665, 745, 1061, 2853, 26, 784, 711, 291, 630, 32, 18476, 3173, 21489, 904, 101, 20, 225, 904, 630, 32, 761, 27, 291, 630, 32, 2853, 1711, 32, 18836, 26, 1815, 27, 291, 630, 32, 9031, 280, 3177, 284, 665, 745, 5126, 26, 784, 711, 291, 4549, 32, 39368, 26, 784, 32, 761, 30, 630, 32, 1160, 27, 291, 630, 32, 18476, 3173, 4912, 101, 20, 225, 904, 630, 32, 761, 27, 291, 630, 32, 2853, 1711, 32, 18836, 26, 2700, 27, 291, 630, 32, 9031, 280, 2933, 284, 665, 745, 4173, 26, 784, 711, 291, 415, 646, 630, 32, 9031, 44, 324, 9460, 280, 34031, 32, 67, 22957, 32, 4594, 26, 784, 30, 330, 51, 1627, 17815, 469, 370, 38497, 313, 69, 4452, 424, 17600, 493, 14206, 34031, 32, 67, 22957, 32, 10922, 30, 34031, 32, 67, 22957, 32, 2023, 27, 324, 415, 9460, 610, 34031, 32, 67, 22957, 32, 10922, 499, 630, 32, 1409, 5126, 346, 284, 665, 745, 5126, 974, 26, 784, 30, 1509, 30, 1780, 30, 2761, 711, 291, 1519, 280, 630, 32, 11148, 1215, 26, 466, 26, 1131, 32, 878, 5156, 415, 1509, 32, 878, 346, 813, 2322, 32, 983, 32, 7781, 26, 466, 26, 784, 32, 761, 490, 291, 4870, 280, 34031, 32, 67, 28084, 32, 371, 5126, 6777, 26, 784, 30, 1780, 30, 1519, 30, 2761, 27, 291, 415, 4870, 44, 4288, 1509, 32, 6616, 26, 784, 32, 9535, 1215, 26, 466, 26, 3607, 2610, 284, 665, 745, 2961, 974, 26, 784, 30, 1509, 30, 1780, 30, 2761, 711, 291, 1519, 280, 630, 32, 11148, 1215, 26, 466, 26, 1131, 32, 878, 5156, 415, 1509, 32, 878, 346, 813, 2322, 32, 983, 32, 7781, 26, 466, 26, 784, 32, 761, 490, 291, 4870, 280, 34031, 32, 67, 28084, 32, 371, 2961, 6777, 26, 784, 30, 1780, 30, 1519, 30, 2761, 27, 291, 415, 4870, 44, 4288, 1509, 32, 6616, 26, 784, 32, 9535, 1215, 26, 466, 26, 3607, 2610, 284, 665, 6491, 1215, 26, 784, 30, 225, 1519, 711, 291, 442, 29457, 1215, 26, 466, 26, 983, 471, 225, 596, 26, 784, 32, 761, 490, 284, 665, 7976, 1215, 26, 784, 30, 225, 6491, 1215, 711, 291, 442, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 466, 26, 784, 32, 761, 3662, 596, 26, 9535, 1215, 490, 203, 589, 29457, 1215, 26, 9749, 30, 225, 3051, 974, 711, 284, 1596, 44, 291, 415, 2322, 32, 983, 32, 297, 3596, 26, 9749, 711, 324, 442, 2322, 32, 983, 32, 2808, 983, 26, 9749, 30, 2322, 32, 983, 32, 7781, 26, 2388, 974, 490, 291, 813 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 0, 3, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 9, 10, 10, 8, 9, 7, 8, 7, 9, 8, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 3, 3, 7, 8, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 10, 10, 10, 8, 8, 8, 9, 10, 7, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 8, 7, 10, 10, 8, 8, 8, 9, 10, 7, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 8, 8, 11, 12, 12, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 10, 12, 13, 13, 11, 12, 10, 10, 12, 13, 13, 11, 12, 10, 6, 6, 7, 8, 8, 10, 11, 11, 9, 10, 7, 7, 11, 12, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 9, 10, 10, 9, 11, 11, 14, 13, 14, 13, 7, 7, 9, 10, 9, 7, 7, 10, 11, 9, 10, 9, 11, 11, 13, 12, 13, 11, 4, 4, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 9, 10, 9, 12, 11, 12, 12, 11, 13, 13, 14, 13, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 9, 10, 10, 9, 11, 11, 14, 13, 14, 13, 7, 7, 9, 10, 9, 7, 7, 10, 11, 9, 10, 9, 11, 11, 13, 12, 13, 11, 4, 4, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 9, 10, 9, 12, 11, 12, 12, 11, 13, 13, 14, 13, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 3, 3, 5, 7, 7, 9, 9, 10, 9, 7, 7, 9, 11, 10, 11, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 11, 11, 13, 12, 13, 11, 7, 9, 10, 10, 9, 0, 1, 1, 2, 2, 3, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 8, 9, 7, 8, 8, 7, 8, 7, 5, 5, 7, 10, 11, 9, 10, 10, 9, 10, 9, 9, 12, 13, 11, 12, 11, 12, 12, 11, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 4, 4, 1, 1, 4, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 3, 3, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 5, 5, 0, 2, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 3, 3, 3, 1, 2, 1, 2, 3, 3, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 3, 3, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 7, 2, 1, 1, 0, 2, 2, 9, 2, 1, 3, 3, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 3, 3, 5, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 3, 3, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 3, 3, 7, 1, 2, 1, 2, 2, 2, 2, 7, 7, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 3, 3, 8, 1, 2, 1, 2, 2, 2, 3, 2, 8, 8, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 2, 1, 2, 2, 2, 3, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0 ]
[ 465, 2322, 203, 465, 316, 203, 465, 22977, 203, 465, 5021, 203, 1070, 309, 2542, 487, 1053, 994, 32, 11452, 1188, 3036, 43657, 203, 1070, 309, 2542, 487, 1053, 994, 32, 16064, 32, 1163, 81, 6308, 1188, 7578, 7162, 1063, 3300, 30, 8145, 203, 1070, 309, 2542, 487, 1053, 994, 32, 16064, 32, 9777, 1188, 308, 284, 14462, 22469, 81, 37381, 81, 6447, 30, 284, 48955, 81, 37381, 81, 6447, 30, 284, 48955, 81, 6177, 54, 81, 567, 30, 203, 27, 203, 1070, 309, 2542, 487, 1053, 994, 32, 16064, 32, 28679, 32, 7390, 32, 7390, 81, 38674, 1188, 308, 284, 16429, 25143, 30, 203, 27, 203, 1070, 309, 2542, 487, 1053, 994, 32, 16064, 32, 6319, 81, 47219, 1188, 14209, 36684, 203, 1070, 309, 2542, 487, 1053, 994, 32, 16064, 32, 1433, 81, 1515, 81, 1819, 1188, 5969, 2976, 1222, 203, 1070, 309, 2542, 487, 1053, 994, 32, 16064, 32, 1327, 993, 1188, 308, 284, 20417, 17339, 2303, 993, 30, 284, 20417, 558, 2303, 993, 30, 203, 27, 203, 823, 40845, 2019, 7584, 26, 1473, 711, 284, 25702, 81, 17143, 81, 2413, 81, 9857, 280, 313, 1696, 1924, 284, 20305, 81, 18829, 280, 313, 2058, 20, 284, 5471, 1926, 17944, 69, 280, 3447, 5350, 563, 313, 1617, 392, 313, 12627, 563, 313, 44429, 3612, 284, 665, 1156, 1664, 3207, 291, 630, 30, 291, 5338, 81, 47219, 47, 2521, 30, 291, 9073, 81, 426, 81, 1327, 993, 47, 2521, 30, 291, 9073, 81, 2518, 81, 1327, 993, 47, 2521, 30, 284, 8063, 291, 630, 32, 6319, 81, 47219, 280, 5338, 81, 47219, 556, 14209, 36684, 346, 291, 630, 32, 7883, 81, 426, 81, 1327, 993, 280, 9073, 81, 426, 81, 1327, 993, 556, 20417, 558, 2303, 993, 346, 291, 630, 32, 7883, 81, 2518, 81, 1327, 993, 280, 308, 324, 9073, 81, 2518, 81, 1327, 993, 556, 20417, 17339, 2303, 993, 346, 291, 829, 291, 630, 32, 3209, 7883, 81, 1163, 81, 6308, 280, 8145, 26, 5560, 7162, 1063, 3300, 1157, 284, 665, 12359, 26, 784, 30, 1914, 30, 3879, 81, 4243, 711, 291, 623, 5969, 2976, 1222, 440, 14861, 81, 7162, 81, 2410, 81, 2976, 657, 619, 1779, 81, 1515, 44, 324, 1596, 44, 400, 415, 630, 1114, 297, 81, 1696, 26, 1855, 711, 528, 1779, 81, 7883, 81, 983, 280, 630, 1114, 2991, 81, 1696, 81, 7883, 26, 715, 630, 1114, 2546, 81, 4254, 26, 1014, 1914, 30, 40845, 2019, 7584, 32, 11144, 81, 17143, 81, 2413, 81, 9857, 715, 2588, 715, 1779, 81, 1515, 30, 528, 829, 400, 813, 44, 528, 1779, 81, 7883, 81, 983, 280, 630, 1114, 2991, 81, 11788, 81, 7883, 26, 1855, 30, 1779, 81, 1515, 27, 324, 2940, 3036, 43657, 619, 1137, 44, 400, 3636, 5021, 32, 2655, 984, 26, 466, 26, 530, 490, 324, 2940, 3268, 44, 400, 3636, 5021, 32, 8418, 3012, 440, 2140, 3809, 4321, 432, 20087, 5414, 657, 324, 9073, 81, 983, 280, 316, 32, 1113, 26, 100, 20, 15641, 86, 29, 4987, 5327, 86, 24913, 1958, 49, 30145, 4320, 1779, 81, 7883, 81, 983, 27, 324, 2322, 32, 13141 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 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, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 4, 4, 8, 8, 6, 8, 8, 5, 8, 8, 6, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 7, 7, 9, 9, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 9, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 10, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 10, 10, 5, 5, 5, 7, 7, 7, 9, 11, 12, 12, 12, 11, 12, 11, 9, 9, 13, 13, 13, 13, 12, 12, 14, 15, 15, 15, 15, 15, 14, 14, 14, 16, 17, 17, 17, 16, 16, 16, 16, 16, 18, 18, 17, 18, 18, 18, 18, 18, 18, 18, 16, 16, 14, 14, 15, 15, 14, 14, 14, 9, 9, 10, 10, 10, 14, 14, 14, 14, 13, 13, 15, 16, 16, 16, 16, 16, 15, 16, 15, 15, 16, 16, 15, 7, 7, 8, 10, 9, 9, 8, 8, 8, 10, 12, 13, 13, 12, 14, 14, 15, 14, 7, 7, 8, 8, 8, 8, 10, 12, 13, 13, 12, 14, 14, 14, 14, 14, 14, 14, 6, 6, 9, 9, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 11, 10, 6, 6, 9, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 1, 2, 1, 4, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 7, 7, 0, 0, 0, 0, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 7, 7, 7, 7, 0, 7, 7, 7, 0, 8, 8, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 8, 8, 0, 0, 9, 9, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 9, 9, 0, 0, 0, 10, 10, 0, 0, 0, 0, 1, 2, 1, 4, 4, 10, 10, 10, 10, 0, 0, 0, 10, 10, 10, 0, 0, 0, 10, 10, 10, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 4, 4, 3, 1, 1, 2, 2, 2, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 0, 0, 7, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 4, 4, 4, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 3, 0, 1, 1, 3, 3, 3, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 4, 4, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 1, 3, 3, 0, 2 ]
[ 9592, 203, 14634, 432, 322, 546, 4595, 9608, 5750, 436, 42487, 322, 16818, 2577, 203, 1028, 600, 709, 374, 385, 1578, 39749, 7433, 32, 15273, 688, 322, 7433, 438, 203, 8740, 385, 1578, 30, 2819, 16818, 2577, 1395, 526, 26762, 318, 7947, 322, 2575, 6013, 432, 203, 1382, 7433, 30, 16404, 30, 1158, 11229, 1395, 526, 474, 15913, 4952, 26, 10753, 471, 9812, 26, 10753, 27, 203, 15661, 44, 203, 7985, 334, 516, 32, 546, 4595, 30, 313, 51, 37532, 1639, 8026, 22440, 3678, 619, 312, 41028, 5710, 41621, 20, 334, 25705, 432, 44722, 279, 18603, 4258, 225, 35, 39, 44, 225, 36, 40, 41, 31, 36, 41, 37, 30, 225, 35, 43, 42, 36, 32, 203, 9592, 203, 1070, 6436, 1188, 319, 203, 1070, 343, 5488, 1188, 319, 203, 589, 3964, 26, 10753, 30, 11768, 35, 30, 1230, 35, 30, 11768, 36, 30, 1230, 36, 711, 284, 5881, 9500, 3964, 9267, 372, 600, 709, 374, 385, 1578, 29354, 7433, 9592, 284, 1044, 35, 280, 3995, 32, 3855, 346, 284, 1044, 36, 280, 3995, 32, 3855, 346, 284, 394, 35, 280, 17058, 3736, 36, 32, 34, 28, 751, 26, 103, 35, 32707, 4952, 26, 36, 32, 34, 28, 1295, 28, 103, 36, 27, 284, 394, 36, 280, 17058, 3736, 36, 32, 34, 28, 751, 26, 103, 35, 32707, 7102, 26, 36, 32, 34, 28, 1295, 28, 103, 36, 27, 284, 816, 280, 11768, 35, 474, 308, 1530, 35, 28, 70, 35, 28, 4952, 26, 10753, 27, 429, 1230, 36, 28, 70, 36, 28, 7102, 26, 10753, 490, 284, 533, 280, 11768, 36, 474, 308, 1530, 35, 28, 70, 35, 28, 7102, 26, 10753, 27, 474, 1230, 36, 28, 70, 36, 28, 4952, 26, 10753, 490, 202, 284, 442, 2065, 32, 955, 2009, 106, 30, 107, 1130, 203, 10753, 280, 429, 35, 37, 39, 32, 34, 319, 8316, 517, 225, 35, 42, 34, 32, 34, 203, 1617, 280, 7051, 1162, 36, 28020, 330, 72, 280, 3964, 26, 10753, 30, 34, 32, 34, 30, 35, 32, 34, 30, 34, 32, 34, 30, 34, 32, 39, 19188, 203, 19046, 280, 7051, 1162, 35, 28020, 330, 72, 683, 203, 53, 280, 30843, 2798, 26, 1617, 463, 72, 1425, 23324, 463, 72, 1425, 2065, 32, 5783, 1162, 35, 30, 36, 3662, 528, 330, 86, 73, 33, 2632, 280, 2364, 32, 72, 8088, 1001, 32, 72, 31, 1526, 32, 72, 28, 73, 19188, 203, 1945, 26, 1003, 47, 35, 34, 32, 34, 30, 2632, 47, 34, 32, 34, 34, 35, 27, 203, 1216, 313, 20951, 318, 11229, 499, 3003, 390, 32, 9582, 77, 34, 79, 203, 1216, 11608, 3163, 526, 474, 15913, 18025, 88, 30, 904, 88, 1130, 20, 904, 308, 4952, 26, 10753, 471, 9812, 26, 10753, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 7, 10, 10, 10, 8, 10, 10, 11, 11, 10, 7, 7, 10, 10, 10, 9, 10, 8, 9, 9, 7, 2, 2, 5, 4, 4, 7, 10, 10, 10, 8, 10, 10, 11, 11, 10, 7, 7, 10, 10, 10, 9, 10, 8, 9, 9, 7, 2, 2, 4, 4, 6, 5, 5, 10, 10, 9, 10, 10, 8, 10, 10, 11, 10, 7, 7, 10, 9, 10, 10, 8, 10, 10, 11, 10, 2, 2, 4, 4, 6, 5, 5, 10, 10, 9, 10, 10, 8, 10, 10, 11, 10, 7, 7, 10, 9, 10, 10, 8, 10, 10, 11, 10, 2, 2, 2, 3, 5, 6, 5, 7, 6, 7, 6, 0, 3, 2, 2, 6, 6, 6, 6, 6, 4, 4, 3, 3, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 6, 5, 4, 6, 6, 0, 3, 2, 2, 4, 4, 6, 6, 8, 8, 4, 6, 8, 8, 4, 6, 7, 6, 8, 7, 8, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 5, 4, 5, 5, 5, 5, 3, 5, 4, 5, 5, 5, 5, 5, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 3, 4, 2, 3, 2, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 5, 5, 6, 5, 3, 5, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 4, 4, 4, 7, 0, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 3, 2, 2, 2, 2, 2, 1, 0, 9, 9, 1, 1, 1, 1, 1, 9, 0, 2, 3, 2, 3, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 465, 1133, 203, 465, 787, 1909, 203, 465, 7060, 203, 465, 26015, 203, 465, 29590, 203, 465, 26313, 203, 465, 16539, 203, 465, 706, 203, 1070, 4527, 1188, 10070, 3703, 203, 26499, 81, 36293, 81, 6880, 280, 301, 284, 313, 940, 81, 7278, 2730, 4959, 81, 22453, 563, 225, 34, 106, 34, 34, 34, 34, 34, 34, 38, 34, 30, 284, 313, 940, 81, 4671, 521, 22740, 2045, 563, 225, 34, 106, 42, 34, 34, 34, 34, 34, 34, 34, 30, 284, 313, 940, 81, 20745, 81, 22453, 563, 225, 34, 106, 34, 34, 34, 34, 34, 34, 34, 36, 30, 284, 313, 940, 81, 12882, 81, 22453, 563, 225, 34, 106, 34, 34, 34, 34, 34, 34, 34, 35, 30, 203, 111, 203, 823, 3456, 1853, 984, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3124, 711, 291, 3268, 26, 784, 30, 3124, 27, 203, 589, 16359, 81, 1338, 81, 1132, 2262, 284, 415, 19326, 26, 27958, 30, 313, 7383, 2418, 1589, 10280, 291, 7065, 280, 16539, 32, 7383, 2418, 1589, 346, 291, 7065, 32, 7955, 4629, 6592, 16539, 32, 7383, 56, 81, 4855, 19415, 18362, 291, 16198, 280, 16539, 32, 6037, 81, 11356, 81, 17222, 81, 9779, 284, 813, 44, 291, 7065, 280, 1665, 291, 16198, 280, 225, 34, 284, 442, 3447, 19653, 1338, 563, 7065, 30, 313, 16777, 4545, 563, 16198, 111, 203, 589, 16539, 81, 15917, 81, 1851, 26, 284, 4774, 30, 4082, 30, 24621, 47, 2521, 30, 1505, 47, 2700, 30, 9843, 47, 2700, 30, 619, 81, 2300, 47, 2700, 203, 711, 284, 415, 619, 81, 2300, 44, 291, 415, 5237, 32, 5134, 610, 313, 4463, 37, 36, 563, 324, 415, 4082, 438, 646, 1665, 44, 400, 4082, 32, 1530, 440, 1853, 308, 302, 5605, 711, 313, 474, 596, 26, 3515, 490, 324, 442, 1420, 81, 302, 81, 4463, 81, 2300, 26, 3515, 30, 4082, 27, 291, 645, 81, 4538, 280, 4082, 438, 1665, 556, 827, 26, 4073, 27, 610, 10070, 3703, 291, 4774, 280, 622, 81, 2300, 81, 2501, 26, 3515, 30, 645, 81, 8463, 47, 1206, 645, 81, 4538, 30, 4082, 47, 4073, 27, 284, 2164, 280, 16539, 32, 45606, 26, 291, 4774, 30, 291, 24621, 47, 21633, 30, 291, 12532, 47, 27958, 32, 18165, 30, 291, 16154, 47, 27958, 32, 39790, 30, 291, 1115, 19653, 81, 1338, 81, 1132, 346, 284, 829, 284, 415, 4082, 438, 646, 1665, 44, 291, 4082, 32, 1530, 440, 1853, 44, 313, 474, 596, 26, 2416, 32, 1132, 490, 284, 2164, 32, 1684, 346, 284, 5430, 280, 308, 291, 428, 94, 32, 5460, 440, 3310, 31, 42, 392, 313, 3617, 657, 436, 456, 328, 2164, 32, 9362, 32, 33232, 7662, 291, 415, 9843, 291, 813, 2164, 32, 9362, 32, 33232, 346, 284, 829, 284, 415, 4082, 438, 646, 1665, 44, 291, 436, 1628, 328, 5430, 44, 324, 4082, 32, 1294, 81, 1530, 26, 928, 415, 9843, 813, 1628, 32, 5460, 440, 3310, 31, 42, 392, 313, 3617, 2131, 284, 415, 1505, 44, 291, 415, 2164, 32, 601, 687 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 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, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 4, 4, 7, 7, 5, 5, 7, 7, 8, 2, 2, 3, 7, 7, 7, 5, 4, 4, 7, 7, 7, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 7, 8, 6, 6, 8, 8, 8, 8, 5, 5, 7, 8, 8, 8, 7, 7, 7, 11, 12, 11, 14, 14, 14, 14, 14, 14, 12, 12, 14, 15, 14, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 10, 11, 10, 8, 8, 9, 4, 4, 6, 6, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 9, 10, 10, 11, 11, 8, 8, 9, 10, 8, 2, 2, 4, 4, 6, 7, 6, 6, 6, 6, 6, 6, 7, 8, 6, 6, 6, 7, 9, 8, 9, 6, 6, 6, 7, 9, 8, 9, 6, 6, 6, 9, 9, 9, 9, 9, 9, 6, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 7, 8, 7, 10, 10, 10, 8, 8, 10, 12, 11, 12, 10, 2, 2, 5, 6, 5, 2, 2, 4, 4, 5, 5, 10, 9, 10, 9, 11, 11, 11, 11, 9, 11, 11, 7, 8, 8, 8, 11, 12, 10, 11, 10, 6, 6, 6, 6, 6, 6, 9, 10, 8, 9, 8, 5, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 9, 10, 10, 10, 9, 11, 10, 10, 10, 10, 12, 13, 12, 14, 14, 14, 14, 12, 14, 14, 2, 2, 3, 3, 3, 3, 5, 7, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 14, 14, 1, 1, 1, 1, 2, 14, 14, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 0, 15, 15, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 0, 0, 11, 2, 2, 2, 15, 15, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 4, 4, 5, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 6, 6, 6, 6, 0, 0, 2, 2 ]
[ 465, 2322, 203, 465, 3363, 203, 465, 5237, 203, 465, 343, 728, 203, 465, 1933, 203, 1070, 7138, 1188, 7138, 203, 1070, 638, 44077, 1188, 16619, 717, 203, 1070, 638, 2304, 1188, 308, 284, 2364, 81, 452, 81, 5134, 30, 284, 622, 81, 1700, 81, 22451, 30, 284, 16469, 81, 2024, 30, 284, 622, 81, 1700, 81, 22451, 30, 284, 13947, 81, 98, 30, 203, 27, 203, 823, 2398, 38396, 5936, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 291, 630, 30, 291, 1542, 30, 291, 3708, 81, 823, 30, 291, 816, 81, 858, 30, 291, 533, 81, 858, 30, 291, 636, 47, 2521, 30, 291, 3048, 47, 2521, 30, 291, 43007, 47, 23749, 30, 284, 8063, 291, 630, 32, 426, 280, 636, 291, 630, 32, 2310, 280, 3048, 291, 630, 32, 1160, 280, 1542, 291, 630, 32, 14211, 81, 823, 280, 3708, 81, 823, 291, 630, 32, 107, 81, 858, 280, 1149, 26, 107, 81, 858, 27, 291, 630, 32, 106, 81, 858, 280, 1149, 26, 106, 81, 858, 27, 291, 630, 32, 2846, 280, 1542, 3667, 1647, 9818, 2998, 5791, 16050, 34, 79, 291, 630, 1114, 2859, 81, 605, 280, 630, 32, 2859, 81, 605, 346, 291, 630, 32, 107, 81, 8293, 280, 630, 32, 9356, 346, 291, 630, 32, 44077, 280, 16619, 717, 26, 784, 32, 14211, 81, 823, 27, 284, 477, 17614, 284, 665, 2454, 26, 6933, 30, 1542, 81, 314, 711, 291, 623, 2156, 5791, 1160, 81, 2613, 33, 44591, 81, 1160, 81, 2613, 32, 30105, 392, 313, 4506, 657, 619, 803, 44, 324, 1980, 280, 343, 728, 32, 944, 26, 761, 27, 324, 1980, 32, 1160, 280, 1980, 32, 2208, 81, 1160, 26, 716, 32, 3644, 2338, 26, 2386, 32, 1160, 81, 15665, 490, 291, 442, 1980, 284, 477, 17614, 284, 665, 2074, 81, 3378, 26, 6933, 711, 291, 2467, 280, 1524, 324, 2467, 794, 2122, 81, 426, 44, 892, 18728, 301, 400, 40475, 1810, 26, 35851, 44, 398, 2122, 81, 426, 27, 301, 528, 40475, 301, 715, 2074, 301, 1014, 636, 1014, 4549, 301, 1378, 12041, 301, 1891, 1541, 301, 2476, 804, 2476, 636, 45470, 3048, 2476, 3708, 1339, 2476, 8361, 2476, 1300, 1339, 2476, 2898, 2476, 2898, 2062, 2476, 25463, 2476, 33358, 2476, 11263, 2476, 15223, 3675, 2476, 5193, 2476, 4081, 301, 3391, 34337, 2476, 320, 2476, 8607, 301, 3391, 12041, 301, 4180, 1541, 301, 5593, 1202, 5593, 786, 4180, 320, 3391, 320, 2476, 320, 2476, 28814, 301, 3391, 12041, 301, 4180, 1541, 301, 5593, 2417, 544, 3678, 24058, 39762, 301, 5593, 1780, 5593, 901, 17991, 32421, 5593, 861, 17991, 32421, 5593, 45888, 5593, 320, 5593, 2417, 544, 3678, 24058, 721, 6392, 301, 5593, 1780, 5593, 25285, 5593, 27410, 101, 5593, 320, 5593, 2417, 544, 3678, 24058, 5191, 6566, 4161, 301, 5593, 1780, 5593, 5045, 5593, 320, 4180, 320, 3391, 320, 2476, 320, 2476, 3377, 301, 3391, 12041, 301, 4180, 1541, 301, 5593, 1202, 5593, 786, 5593, 24462, 5757, 301, 5593, 11557, 5593, 11003, 5593, 320, 4180, 320, 3391, 320, 2476, 320, 1891, 320, 1378, 320, 1014, 320, 715, 320, 528, 320, 400, 320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 10, 11, 11, 10, 9, 11, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 8, 10, 9, 10, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 6, 6, 5, 4, 4, 6, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 13, 13, 9, 9, 6, 6, 6, 9, 9, 12, 11, 12, 11, 12, 11, 7, 7, 10, 11, 9, 9, 11, 12, 12, 12, 11, 14, 13, 14, 14, 13, 15, 14, 15, 15, 15, 13, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 2, 2, 2, 7, 7, 2, 2, 2, 9, 9, 2, 2, 2, 11, 2, 2, 2, 2, 13, 2, 2, 2, 2, 15, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 465, 5237, 203, 465, 4354, 10186, 1456, 69, 36, 203, 465, 26015, 203, 20048, 280, 4354, 10186, 1456, 69, 36, 32, 4997, 9962, 346, 203, 20048, 32, 3573, 346, 203, 17685, 280, 2065, 32, 955, 2009, 429, 37, 32, 39, 30, 429, 36, 32, 39, 30, 429, 35, 32, 39, 30, 429, 34, 32, 39, 30, 225, 34, 32, 39, 30, 225, 35, 32, 39, 30, 225, 36, 32, 39, 30, 225, 37, 32, 39, 2505, 9710, 47, 32271, 32, 85, 81, 2627, 27, 203, 62, 280, 2069, 26, 15376, 829, 203, 89, 280, 429, 35, 32, 34, 203, 7370, 280, 225, 34, 32, 34, 203, 6515, 11257, 280, 498, 225, 203, 8617, 69, 280, 225, 34, 261, 203, 23771, 4315, 280, 225, 34, 225, 203, 9592, 664, 3678, 44, 420, 81, 5793, 280, 7715, 81, 5793, 15376, 77, 91, 79, 616, 354, 81, 42661, 280, 7715, 81, 5793, 7715, 81, 9928, 485, 308, 15376, 77, 91, 79, 319, 15376, 77, 93, 79, 829, 5304, 301, 7370, 111, 616, 420, 81, 42661, 280, 354, 81, 42661, 474, 308, 7715, 81, 1546, 420, 81, 11207, 474, 7715, 81, 11207, 420, 81, 1546, 829, 517, 308, 489, 429, 225, 35, 829, 616, 677, 404, 280, 225, 34, 32, 39, 3632, 81, 42661, 420, 81, 42661, 3632, 81, 11756, 30, 20635, 312, 80, 29, 5290, 91, 30, 11756, 111, 312, 80, 29, 5290, 92, 30, 20635, 111, 312, 5290, 94, 30, 20635, 111, 312, 5290, 93, 30, 11756, 111, 203, 9592, 203, 271, 31371, 42886, 280, 2065, 32, 9880, 26, 428, 498, 2505, 9710, 47, 32271, 32, 85, 81, 410, 829, 203, 1363, 280, 225, 34, 203, 43802, 280, 4354, 10186, 1456, 69, 36, 32, 4997, 58, 20701, 937, 2531, 26, 498, 30, 2350, 30, 556, 31371, 42886, 829, 203, 9944, 280, 4354, 10186, 1456, 69, 36, 32, 4997, 14764, 26, 677, 404, 30, 16510, 69, 30, 8026, 11257, 30, 41370, 4315, 829, 203, 5482, 10206, 280, 4354, 10186, 1456, 69, 36, 32, 4997, 609, 424, 27976, 10206, 26, 225, 36, 829, 203, 5482, 10206, 32, 470, 9597, 26, 225, 34, 30, 261, 35, 34, 34, 30, 225, 35, 87, 31, 35, 34, 30, 225, 35, 34, 30, 225, 34, 32, 39, 829, 203, 5482, 10206, 32, 470, 9597, 26, 225, 35, 30, 225, 35, 34, 34, 34, 30, 225, 35, 87, 31, 35, 34, 30, 225, 35, 34, 30, 225, 34, 32, 34, 829, 203, 1382, 54, 9648, 57, 280, 4354, 10186, 1456, 69, 36, 32, 4997, 54, 9648, 57, 26, 13783, 30, 13814, 10206, 829, 203, 979, 556, 84, 35, 328, 2155, 26, 498, 8063, 664, 436, 556, 84, 36, 328, 2155, 26, 498, 8063, 397, 5097, 91, 280, 485, 319, 308, 11366, 26, 15376, 77, 556, 84, 35, 1481, 319, 15376, 77, 556, 84, 36, 1481, 829, 326, 7370, 829, 397, 337, 17014, 280, 308, 15376, 77, 556, 84, 35, 1481, 474, 15376, 77, 556, 84, 36, 1481, 829, 517, 308, 8026, 11257, 429, 225, 35, 829, 397, 415, 308, 556, 84, 35, 610, 556, 84, 36 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 3, 2, 2, 5, 5, 5, 5, 4, 5, 5, 4, 0, 4, 3, 4, 3, 0, 3, 2, 2, 4, 5, 4, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 4, 5, 7, 6, 7, 7, 7, 4, 0, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 3, 3, 3, 0, 3, 3, 2, 2, 0, 0, 3, 3, 2, 2, 3, 0, 0, 3, 3, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 5, 4, 4, 5, 5, 4, 5, 7, 6, 7, 7, 7, 4, 0, 3, 2, 2, 3, 0, 3, 2, 2, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 0, 3, 2, 2, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 0, 3, 3, 2, 2, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 4, 0, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 0, 4, 4, 3, 4, 4, 3, 3, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 5, 4, 0, 1, 1, 2, 2, 1, 1, 3, 3, 3, 1, 1, 3, 4, 4, 3, 3, 5, 5, 5, 3, 3, 7, 6, 6, 7, 7, 8, 11, 11, 13, 13, 14, 14, 13, 12, 12, 13, 13, 14, 14, 13, 11, 9, 10, 8, 4, 4, 7, 6, 6, 8, 10, 10, 11, 11, 10, 9, 9, 10, 10, 11, 11, 10, 8, 7, 7, 8, 10, 9, 9, 10, 8, 4, 4, 5, 6, 8, 8, 7, 7, 8, 8 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 1, 1, 11, 11, 11, 1, 1, 13, 13, 13, 1, 1, 15, 15, 15, 1, 1, 3, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 9, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 5, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 0, 22, 22, 1, 1, 22, 22, 1, 1, 1, 22, 22, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 5, 5, 2, 1, 0, 0, 1, 1, 2, 2 ]
[ 1070, 18971, 81, 105, 4213, 1188, 24014, 1241, 203, 1070, 18971, 81, 105, 4213, 32, 761, 1188, 2032, 1176, 30, 2032, 12759, 30, 2032, 5413, 203, 1070, 35692, 8538, 1188, 892, 1176, 30, 12572, 1176, 30, 22881, 1176, 30, 24572, 1176, 30, 27927, 30, 4401, 1176, 30, 6608, 1176, 30, 5069, 1176, 30, 7697, 1176, 203, 1070, 35692, 8538, 32, 24894, 1188, 2398, 5413, 30, 10024, 30, 16785, 203, 1070, 18971, 407, 32, 7534, 1188, 15894, 203, 823, 2222, 1240, 1241, 26, 43746, 1241, 711, 203, 202, 426, 280, 892, 1176, 463, 4728, 3270, 370, 27927, 6020, 750, 5413, 440, 6574, 6612, 322, 636, 432, 322, 537, 508, 265, 7144, 1130, 203, 202, 699, 47, 892, 1176, 463, 8650, 370, 27927, 6020, 750, 5413, 440, 6574, 6612, 312, 952, 7144, 1130, 203, 202, 4298, 280, 24572, 1176, 463, 4539, 432, 2680, 683, 203, 202, 2895, 280, 12572, 1176, 463, 4049, 370, 27927, 6020, 750, 5413, 440, 6574, 6612, 312, 3882, 26551, 16785, 26, 887, 47, 40, 30, 1474, 347, 4049, 101, 2298, 526, 225, 40, 7125, 556, 1829, 7144, 1130, 203, 202, 4737, 280, 22881, 1176, 463, 1103, 2680, 683, 203, 823, 2648, 1812, 1097, 26, 43746, 1241, 711, 203, 202, 1094, 426, 280, 892, 1176, 463, 1097, 3270, 370, 27927, 6020, 750, 5413, 440, 6574, 6612, 322, 636, 432, 322, 537, 1623, 7144, 1130, 203, 202, 3153, 280, 892, 1176, 463, 4220, 432, 6324, 370, 27927, 280, 428, 750, 5413, 27944, 203, 202, 4415, 280, 23501, 1176, 463, 3010, 20754, 370, 15307, 47, 38, 30, 35396, 47, 2521, 30, 27927, 280, 428, 750, 5413, 27944, 203, 202, 45262, 385, 280, 4401, 1176, 463, 435, 1174, 6431, 370, 27927, 280, 428, 750, 5413, 27944, 203, 202, 998, 81, 2243, 280, 6608, 1176, 463, 3010, 436, 6468, 3887, 279, 370, 27927, 280, 428, 750, 5413, 28576, 16682, 6020, 440, 6821, 267, 392, 313, 6821, 267, 2113, 2884, 1970, 392, 313, 1970, 2113, 2884, 6706, 392, 313, 6706, 2113, 2884, 26178, 392, 313, 26178, 2113, 2884, 1501, 392, 313, 1501, 2113, 2884, 2243, 392, 313, 2243, 2113, 2884, 8771, 392, 313, 8771, 657, 1130, 203, 202, 1174, 81, 2243, 280, 6608, 1176, 463, 3010, 436, 902, 35141, 370, 27927, 280, 428, 750, 5413, 28576, 16682, 6020, 440, 6821, 267, 392, 313, 6821, 267, 2113, 2884, 1970, 392, 313, 1970, 2113, 2884, 6706, 392, 313, 6706, 2113, 2884, 26178, 392, 313, 26178, 2113, 2884, 1501, 392, 313, 1501, 2113, 2884, 2243, 392, 313, 2243, 657, 1130, 203, 202, 1174, 81, 36520, 280, 23501, 1176, 463, 1097, 37585, 370, 15307, 47, 38, 30, 35396, 47, 2521, 30, 27927, 280, 428, 750, 5413, 27944, 203, 202, 4737, 8617, 280, 22881, 1176, 463, 1103, 3136, 6324, 683, 203, 823, 38237, 3637, 2924, 26, 43746, 1241, 711, 203, 202, 1094, 426, 280, 892, 1176, 463, 1097, 3270, 370, 27927, 6020, 750, 5413, 440, 6574, 5551, 322, 636, 432, 322, 1623, 657, 1130, 203, 202, 12354, 280, 6608, 1176, 463, 2633, 370, 2098, 26387, 47, 410, 27, 1659, 202, 15175, 280, 4401, 1176, 463, 8589, 24459, 370, 27927, 280, 428 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 8, 8, 8, 6, 7, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 2, 2, 5, 4, 4, 6, 6, 8, 8, 6, 7, 10, 10, 10, 12, 12, 12, 12, 12, 8, 2, 2, 5, 4, 4, 6, 6, 8, 8, 8, 8, 2, 2, 5, 4, 4, 6, 6, 8, 8, 6, 7, 10, 10, 10, 12, 12, 12, 12, 12, 8, 10, 12, 11, 12, 10, 10, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 8, 2, 2, 5, 4, 4, 6, 6, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 8, 8, 8, 6, 7, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 2, 2, 5, 4, 4, 6, 6, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 2, 2, 5, 4, 4, 6, 6, 8, 8, 8, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 7, 10, 10, 10, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 2, 2, 5, 5, 5, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 6, 7, 9, 11, 11, 11, 9, 11, 11, 11, 8, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 8, 2, 2, 5, 5, 5, 4, 4, 6, 6, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 6, 7, 9, 11, 11, 11, 9, 11, 11, 11, 8, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 8, 2, 2, 5, 5, 5, 4, 4, 6, 6, 8, 8, 8, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 7, 10, 10, 10, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 8, 8, 8, 6, 7, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 8, 2, 2, 5, 4, 4, 6, 6, 8, 8, 6, 8, 7, 8, 6, 2, 2, 5, 4, 4, 6, 6, 8, 8, 8, 6, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 0, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 7, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 2, 5, 1, 2, 2, 1, 2, 7, 1, 2, 2, 1, 2, 9, 1, 2, 2, 1, 2, 11, 1, 2, 2, 1, 2, 13, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 2, 5, 1, 2, 2, 1, 2, 7, 1, 2, 2, 1, 2, 9, 1, 2, 2, 1, 2, 11, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 7, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 0, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 3 ]
[ 465, 5237, 30, 802, 30, 316, 30, 225, 2322, 30, 6350, 30, 1133, 30, 7744, 203, 465, 6436, 619, 2065, 203, 823, 358, 13407, 44, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 1929, 81, 2121, 30, 273, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 1516, 81, 2121, 280, 428, 2700, 79, 319, 1929, 81, 2121, 291, 630, 32, 3589, 81, 668, 280, 3813, 34, 436, 595, 328, 2155, 26, 102, 2177, 436, 594, 328, 2155, 26, 1516, 81, 2121, 2177, 291, 630, 32, 2808, 81, 7295, 280, 1605, 291, 630, 32, 1036, 81, 28771, 280, 225, 34, 291, 630, 32, 4078, 81, 1338, 280, 1605, 291, 630, 32, 9918, 280, 225, 43, 43, 291, 630, 32, 4078, 280, 225, 43, 43, 284, 665, 622, 81, 426, 26, 784, 711, 291, 442, 630, 32, 426, 284, 665, 622, 81, 1516, 81, 2121, 26, 784, 711, 291, 442, 630, 32, 1516, 81, 2121, 284, 665, 739, 81, 1516, 81, 2121, 26, 784, 30, 310, 711, 291, 630, 32, 1516, 81, 2121, 77, 96, 79, 280, 2933, 10065, 665, 1015, 81, 452, 81, 668, 26, 784, 30, 32531, 30, 831, 30, 595, 711, 291, 630, 32, 3589, 81, 668, 77, 93, 1674, 91, 79, 280, 32531, 284, 665, 739, 81, 7295, 26, 784, 30, 13040, 711, 291, 630, 32, 2808, 81, 7295, 32, 1689, 26, 13941, 27, 291, 630, 32, 1036, 81, 28771, 1454, 13040, 3701, 665, 622, 81, 7295, 26, 784, 30, 831, 711, 291, 442, 630, 32, 2808, 81, 7295, 77, 93, 79, 284, 665, 622, 81, 28771, 26, 784, 711, 291, 442, 630, 32, 2808, 81, 7295, 284, 665, 622, 81, 1036, 81, 28771, 26, 784, 711, 291, 442, 630, 32, 1036, 81, 28771, 284, 665, 1459, 81, 2121, 26, 784, 711, 291, 1459, 630, 32, 1516, 81, 2121, 27218, 665, 622, 81, 24005, 81, 3589, 26, 784, 30, 831, 711, 291, 323, 2548, 280, 2065, 32, 955, 26, 784, 32, 3589, 81, 668, 77, 93, 1130, 291, 26684, 280, 2065, 32, 24005, 26, 84, 2548, 27, 291, 442, 26684, 284, 665, 622, 81, 10074, 81, 3589, 26, 784, 30, 831, 711, 291, 323, 2548, 280, 2065, 32, 955, 26, 784, 32, 3589, 81, 668, 77, 93, 1130, 291, 14626, 280, 2065, 32, 14298, 26, 84, 2548, 27, 291, 442, 14626, 284, 665, 1015, 81, 3589, 26, 784, 30, 32531, 711, 291, 630, 32, 1036, 81, 3589, 1454, 32531, 284, 665, 622, 81, 1036, 81, 3589, 26, 784, 711, 291, 442, 630, 32, 1036, 81, 3589, 284, 665, 622, 81, 1516, 81, 19245, 26, 784, 711, 291, 442, 630, 32, 1516, 81, 19245, 284, 665, 622, 81, 3589, 81, 668, 26, 784, 711, 291, 442, 630, 32, 3589, 81, 668, 284, 665, 622, 81, 3589, 81, 668, 26, 784, 711, 291, 442, 630, 32, 3589, 81, 668, 284, 665, 739, 81, 4078, 81, 1338, 26, 784, 30, 3099, 711, 291, 630, 32, 4078, 81, 1338, 32, 1689, 26, 1338, 27, 284, 665, 622, 81, 4078, 81, 1338, 26, 784, 711, 291, 442, 630, 32, 4078, 81, 1338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 9, 8, 7, 7, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 11, 12, 11, 7, 8, 8, 8, 10, 11, 11, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 10, 8, 9, 8, 8, 7, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 6, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 9, 8, 11, 10, 11, 11, 11, 9, 10, 9, 4, 4, 6, 6, 8, 9, 8, 9, 9, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 9, 8, 11, 10, 11, 11, 11, 9, 10, 9, 4, 4, 6, 6, 8, 9, 8, 9, 9, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 3, 3, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 3, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 0, 0, 0, 3, 3, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 3, 3, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 3, 3, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 2, 2, 2, 1, 2, 1, 3, 3, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 2, 2, 2, 3, 3, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 2, 2, 2, 3, 3, 9, 1, 1, 2, 1, 2, 9, 9, 0, 1, 2, 2, 2, 3, 3, 10, 1, 1, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 2, 3, 3, 11, 1, 1, 1, 1, 2, 1, 2, 2, 2, 11, 11, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 2, 3, 3, 12, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 2, 2, 2, 0, 0, 3, 3, 13, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 1, 2, 2, 2, 3, 3, 14, 1, 1, 1, 1, 2, 1, 2, 14, 14, 0, 1, 2, 2, 2, 3, 3, 15, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 1, 2, 2, 2, 3, 3, 16, 1, 1, 1, 1, 2, 1, 2, 16, 16, 0, 1, 2, 2, 2, 3, 3, 17, 1, 1, 1, 1, 2, 1, 2, 2, 2, 17, 17, 0, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 18, 1, 1, 1, 1, 2, 1, 2, 18, 18, 0, 1, 2, 2, 2 ]
[ 465, 5741, 203, 1070, 310, 17544, 93, 615, 774, 32, 2282, 1188, 10252, 203, 1070, 310, 17544, 93, 615, 774, 32, 1526, 81, 2795, 1188, 1695, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 50, 5558, 32, 3317, 463, 4466, 683, 203, 823, 10276, 2301, 7633, 26, 1439, 32, 2207, 2301, 711, 284, 477, 16099, 284, 665, 617, 371, 81, 4595, 2638, 81, 1267, 26, 4595, 2638, 81, 5609, 711, 291, 415, 330, 1267, 25, 328, 23146, 2638, 81, 5609, 710, 2024, 12132, 324, 415, 596, 26, 4595, 2638, 81, 5609, 710, 2024, 4902, 1267, 3490, 610, 766, 528, 596, 26, 4595, 2638, 81, 5609, 710, 1131, 4902, 1267, 37886, 400, 442, 330, 4617, 25, 324, 442, 330, 5066, 25, 291, 442, 23146, 2638, 81, 5609, 710, 1131, 4902, 1267, 785, 284, 665, 2179, 81, 2024, 26, 784, 30, 1115, 5321, 711, 291, 23146, 2638, 81, 426, 280, 1149, 26, 5321, 32, 3494, 47794, 34, 79, 291, 23146, 2638, 81, 5609, 280, 10306, 77, 4595, 2638, 81, 426, 79, 291, 1509, 81, 5609, 280, 4247, 291, 436, 1202, 30, 786, 328, 23146, 2638, 81, 5609, 710, 1131, 4902, 1132, 5695, 3028, 2262, 324, 1509, 81, 5609, 280, 2884, 23, 101, 23, 101, 6069, 101, 2360, 904, 308, 1131, 81, 5609, 30, 1202, 30, 786, 490, 291, 23146, 2638, 81, 1267, 280, 630, 1114, 371, 81, 4595, 2638, 81, 1267, 26, 4595, 2638, 81, 5609, 27, 291, 23146, 2638, 81, 681, 280, 23146, 2638, 81, 5609, 710, 681, 785, 291, 23146, 2638, 81, 426, 81, 681, 81, 753, 280, 2884, 23, 101, 9726, 101, 9726, 101, 20, 904, 308, 4595, 2638, 81, 426, 30, 4180, 23146, 2638, 81, 681, 30, 4180, 1509, 81, 5609, 490, 291, 17584, 280, 18491, 319, 308, 35, 36, 34, 429, 2069, 26, 4595, 2638, 81, 426, 81, 681, 81, 753, 490, 291, 14186, 81, 2024, 280, 2884, 23, 101, 23, 101, 23, 101, 20, 904, 308, 4595, 2638, 81, 426, 81, 681, 81, 753, 30, 17584, 30, 2476, 23146, 2638, 81, 1267, 490, 291, 23146, 2638, 81, 5609, 710, 18752, 81, 2024, 785, 280, 14186, 81, 2024, 291, 5776, 32, 1338, 4912, 101, 1688, 1401, 2583, 14186, 436, 2549, 392, 14186, 81, 2024, 27, 291, 442, 10306, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 2, 5, 4, 5, 4, 6, 6, 1, 2, 2, 3, 3, 3, 5, 4, 5, 5, 3, 2, 2, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 5, 5, 7, 10, 10, 8, 8, 10, 10, 10, 9, 11, 11, 7, 7, 9, 12, 15, 15, 15, 15, 14, 16, 16, 15, 15, 10, 10, 11, 10, 12, 15, 15, 15, 15, 14, 16, 16, 15, 15, 9, 9, 11, 13, 13, 8, 8, 9, 11, 11, 6, 6, 7, 10, 10, 10, 9, 11, 11, 10, 10, 3, 3, 4, 5, 5, 5, 6, 5, 5, 7, 5, 4, 4, 8, 8, 8, 7, 7, 10, 13, 12, 13, 12, 9, 8, 5, 5, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 8, 5, 5, 8, 8, 7, 7, 5, 5, 6, 7, 7, 6, 6, 11, 11, 11, 10, 12, 12, 11, 11, 9, 8, 6, 6, 10, 10, 9, 9, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 12, 12, 12, 12, 12, 5, 5, 8, 8, 8, 7, 7, 9, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 9, 5, 5, 8, 8, 8, 7, 7, 9, 9, 9, 8, 10, 10, 5, 5, 8, 8, 8, 8, 8, 8, 8, 7, 7, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 10, 10, 10, 11, 11, 11, 10, 10, 10, 11, 11, 10, 5, 5, 7, 7, 8, 8, 11, 11, 11, 10, 10, 12, 13, 13, 13, 13, 13, 13, 13, 13, 12, 5, 5, 8, 8, 7, 7, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 11, 11, 11, 10, 5, 5, 9, 9, 9, 8, 10, 10, 10, 10, 7, 7, 8, 8, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 5, 5, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 3, 3, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0, 1, 2, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 3, 1, 1, 3, 3, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 5, 5, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 5, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15798, 1188, 19205, 203, 465, 16672, 30, 5237, 203, 1070, 35387, 32, 5983, 1188, 8145, 203, 1070, 35387, 32, 3922, 1188, 12259, 203, 823, 7098, 2825, 26, 626, 2208, 32, 26633, 711, 284, 665, 1048, 26, 784, 30, 1474, 711, 291, 630, 32, 1216, 81, 4756, 26, 3731, 32, 9362, 27, 291, 1459, 15339, 101, 44, 1048, 44, 904, 101, 78, 96, 25, 904, 308, 784, 32, 15446, 30, 1474, 490, 291, 4323, 346, 203, 823, 2108, 81, 3922, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 3922, 280, 12259, 346, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 3922, 280, 1665, 284, 665, 622, 5191, 26, 784, 30, 4209, 711, 291, 442, 630, 32, 3922, 32, 38340, 26, 8299, 32, 2998, 1026, 7098, 2825, 27, 284, 665, 1201, 3817, 26, 784, 30, 1509, 711, 291, 623, 630, 32, 23895, 26, 1598, 8112, 711, 324, 630, 32, 371, 5191, 26, 1131, 27, 284, 665, 894, 81, 2951, 26, 784, 711, 291, 630, 32, 862, 3817, 25416, 284, 665, 894, 81, 7224, 26, 784, 711, 291, 3570, 280, 630, 32, 371, 5191, 12664, 1131, 894, 32, 1645, 894, 36, 32, 1645, 769, 4254, 15711, 769, 43929, 2364, 769, 6175, 14801, 683, 291, 630, 32, 862, 3637, 1324, 26, 2957, 32, 1131, 30, 2107, 858, 32, 1645, 370, 330, 858, 36, 32, 1645, 3490, 291, 630, 32, 5299, 26, 2957, 32, 426, 81, 4254, 30, 330, 13461, 683, 291, 630, 32, 5299, 26, 2957, 32, 426, 81, 43929, 30, 330, 1526, 683, 291, 630, 32, 5299, 26, 2957, 32, 6175, 30, 330, 8025, 683, 284, 665, 894, 81, 2024, 26, 784, 711, 291, 630, 32, 862, 3817, 12664, 1131, 894, 32, 1645, 894, 36, 32, 1645, 769, 2024, 894, 32, 1645, 683, 291, 630, 32, 862, 3817, 12664, 1131, 638, 769, 2024, 894, 32, 1645, 683, 291, 3570, 280, 630, 32, 371, 5191, 12664, 1131, 894, 32, 1645, 769, 2024, 894, 32, 1645, 683, 291, 630, 32, 5299, 26, 2957, 32, 2024, 30, 330, 858, 32, 1645, 683, 284, 665, 894, 81, 19100, 26, 784, 711, 291, 3570, 280, 630, 32, 371, 5191, 12664, 1131, 894, 32, 1645, 769, 19100, 683, 291, 630, 32, 6549, 26, 2957, 32, 19100, 27, 291, 3570, 280, 630, 32, 371, 5191, 12664, 1131, 894, 32, 1645, 683, 291, 630, 32, 14846, 26, 2957, 32, 19100, 27, 284, 665, 894, 81, 2811, 26, 784, 711, 291, 3570, 280, 630, 32, 371, 5191, 12664, 1131, 894, 32, 1645, 769, 2811, 683, 291, 630, 32, 6549, 26, 2957, 32, 2811, 27, 291, 3570, 280, 630, 32, 371, 5191, 12664, 1131, 894, 32, 1645, 683, 291, 630, 32, 14846, 26, 2957, 32, 2811, 27, 284, 665, 894, 81, 10529, 26, 784, 711, 291, 3570, 280, 630, 32, 371, 5191, 12664, 1131, 894, 32, 1645, 769, 10529, 683, 291, 630, 32, 6549, 26, 2957, 32, 10529, 27, 291, 3570, 280, 630, 32, 371, 5191, 12664, 1131, 894, 32, 1645, 683, 291, 630, 32, 14846, 26, 2957, 32, 10529, 27, 284, 665, 894, 81, 761, 81, 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, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 10, 10, 10, 10, 10, 10, 11, 11, 10, 8, 8, 11, 10, 11, 9, 9, 9, 4, 4, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 9, 10, 9, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 9, 10, 9, 10, 10, 9, 5, 5, 9, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 0, 0, 1, 2, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 4, 4, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 3, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 10, 1, 1, 1, 1, 2 ]
[ 465, 7138, 203, 465, 13092, 203, 1070, 17075, 14976, 32, 770, 1188, 622, 81, 770, 30, 2530, 81, 770, 203, 589, 894, 81, 2872, 81, 770, 81, 10939, 2262, 284, 2340, 81, 466, 280, 313, 36, 34, 35, 39, 31, 34, 39, 31, 35, 34, 20, 284, 736, 280, 2530, 81, 770, 26, 770, 81, 466, 27, 284, 1201, 736, 438, 2933, 203, 589, 894, 81, 2872, 81, 770, 81, 4260, 2262, 284, 2340, 81, 466, 280, 313, 36, 34, 35, 39, 32, 34, 39, 32, 35, 34, 20, 284, 736, 280, 2530, 81, 770, 26, 770, 81, 466, 27, 284, 1201, 736, 438, 2933, 203, 589, 894, 81, 2872, 81, 5790, 81, 770, 2262, 284, 2340, 81, 466, 280, 313, 36, 34, 35, 39, 34, 39, 35, 34, 20, 284, 736, 280, 2530, 81, 770, 26, 770, 81, 466, 27, 284, 1201, 736, 438, 3177, 203, 589, 894, 81, 2872, 81, 3780, 81, 770, 2262, 284, 2340, 81, 466, 280, 313, 7656, 20, 284, 736, 280, 2530, 81, 770, 26, 770, 81, 466, 27, 284, 1201, 736, 438, 3177, 203, 589, 894, 81, 1327, 81, 770, 81, 466, 2262, 284, 2340, 81, 466, 280, 313, 36, 34, 35, 39, 31, 34, 39, 31, 35, 34, 20, 284, 2340, 81, 2067, 280, 622, 81, 770, 26, 770, 81, 466, 27, 284, 1201, 6937, 26, 770, 81, 2067, 30, 7138, 32, 6665, 27, 203, 589, 894, 81, 1327, 81, 770, 81, 466, 81, 1347, 81, 853, 2262, 284, 2340, 81, 466, 280, 1665, 284, 2340, 81, 2067, 280, 622, 81, 770, 26, 770, 81, 466, 27, 284, 1201, 6937, 26, 770, 81, 2067, 30, 7138, 32, 6665, 27, 203, 589, 894, 81, 6665, 81, 466, 2262, 284, 2340, 280, 7138, 32, 6665, 32, 2174, 346, 284, 2340, 81, 466, 280, 596, 26, 770, 27, 284, 537, 81, 770, 280, 622, 81, 770, 26, 770, 81, 466, 27, 284, 1201, 537, 81, 770, 610, 2340, 203, 589, 894, 81, 6665, 81, 5561, 26, 5561, 711, 284, 2340, 81, 466, 280, 596, 26, 5561, 27, 284, 537, 81, 770, 280, 622, 81, 770, 26, 770, 81, 466, 27, 284, 1201, 537, 81, 770, 610, 6341, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 5, 6, 6, 6, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 5, 6, 6, 6, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 9, 9, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 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 ]
[ 465, 5167, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 28497, 1188, 6207, 81, 3648, 203, 1070, 1361, 20798, 32, 2304, 1188, 10156, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 4688, 38, 34, 38, 203, 1070, 8527, 32, 36287, 1188, 622, 81, 1473, 81, 271, 81, 38, 34, 38, 203, 1070, 8527, 32, 2304, 32, 28497, 1188, 1411, 81, 27680, 203, 1070, 8527, 32, 4338, 32, 9947, 1188, 10838, 1074, 30, 2648, 1074, 30, 23487, 1074, 30, 4328, 30, 29857, 30, 18115, 1074, 203, 1070, 8527, 32, 4338, 32, 9947, 32, 3176, 1188, 4000, 1074, 30, 6788, 1074, 30, 3720, 1074, 203, 1070, 10869, 283, 32, 8538, 1188, 17447, 283, 3442, 1241, 203, 1070, 1980, 32, 3378, 1188, 5950, 1011, 1810, 30, 5950, 1011, 1810, 1063, 30, 5950, 283, 1810, 5129, 283, 1810, 3157, 203, 1070, 4377, 3378, 1188, 4578, 9841, 284, 3136, 10963, 6253, 3442, 30, 25516, 367, 3442, 30, 766, 284, 23574, 30, 5502, 7726, 30, 766, 284, 23574, 2595, 9824, 203, 1070, 638, 8538, 1188, 5950, 1011, 1810, 7099, 1241, 30, 766, 284, 3136, 10963, 6253, 3442, 1241, 30, 25516, 367, 3442, 1241, 30, 766, 284, 5950, 1011, 1810, 10963, 6253, 1241, 30, 766, 284, 5950, 1011, 1810, 2551, 4741, 8853, 1241, 30, 766, 284, 5950, 1011, 1810, 1922, 1241, 30, 766, 284, 5950, 1011, 1810, 2573, 7726, 1241, 30, 766, 284, 5950, 1011, 1810, 2708, 47006, 1241, 30, 766, 284, 5950, 1011, 1810, 5580, 38555, 1241, 30, 766, 284, 5950, 1011, 1810, 2595, 10332, 1241, 30, 766, 284, 23574, 1241, 30, 8564, 332, 5129, 283, 1810, 1554, 2538, 1011, 1810, 30, 766, 284, 3704, 7133, 1922, 1241, 203, 1070, 8527, 32, 12023, 1188, 5218, 619, 2202, 81, 6286, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 619, 617, 203, 465, 2361, 203, 1070, 310, 574, 3876, 32, 3235, 283, 81, 1237, 81, 2386, 1188, 13088, 283, 2551, 1810, 203, 1070, 310, 574, 3876, 32, 8246, 1188, 5083, 81, 1070, 81, 3235, 283, 203, 1070, 310, 574, 3876, 32, 496, 81, 1906, 32, 8538, 1188, 5950, 1011, 5129, 283, 2333, 1241, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 823, 2680, 3341, 1074, 26, 3442, 1074, 711, 284, 3079, 81, 426, 280, 330, 96, 574, 3876, 33, 16845, 33, 8761, 31, 3959, 32, 916, 25, 284, 477, 1959, 81, 27680, 26, 3615, 81, 3648, 27, 284, 665, 7520, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 2599, 26, 1240, 3341, 1074, 30, 630, 547, 7147, 2740, 1132, 30, 1115, 5321, 27, 203, 823, 5950, 1011, 1810, 5287, 1761, 1074, 26, 5287, 1074, 711, 284, 1542, 280, 5950, 1011, 1810, 284, 477, 1959, 81, 27680, 26, 3615, 81, 3648, 27, 284, 665, 7520, 26, 784, 30, 1326, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 5321, 710, 7794, 785, 280, 1326, 32, 46716, 291, 442, 2599, 26, 5287, 1074, 30, 630, 547, 7147, 26, 1357, 30, 319, 1132, 30, 1115, 5321, 27, 284, 665, 622, 81, 1473, 26, 784, 30, 36104, 47, 2521, 711, 291, 630, 32, 1473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 3, 1, 1, 2, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 2, 2, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 7, 7, 7, 6, 3, 3, 4, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 6, 10, 11, 11, 11, 10, 10, 10, 9, 8, 10, 8, 8, 10, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 5, 5, 2, 2, 6, 6, 6, 6, 7, 7, 7, 6, 3, 3, 4, 5, 6, 5, 5, 5, 5, 7, 5, 5, 7, 5, 4, 4, 9, 10, 8, 10, 10, 7, 7, 8, 9, 5, 5, 6, 10, 11, 11, 10, 10, 10, 9, 8, 9, 8, 8, 10, 8, 8, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 10, 10, 0, 10, 10, 10, 5, 10, 0, 0, 0, 10, 10, 0, 0, 10, 10, 10, 10, 10, 10, 0, 10, 10, 15, 10, 0, 0, 0, 11, 11, 0, 11, 11, 0, 0, 0, 0, 11, 11, 5, 11, 0, 0, 0, 0, 11, 11, 0, 0, 0, 11, 11, 10, 11, 0, 0, 0, 0, 0, 11, 11, 13, 11, 0, 0, 0, 0, 0, 0, 11, 11, 16, 11, 0, 0, 0, 0, 11, 11, 19, 11, 0, 0, 0, 0, 0, 11, 11, 22, 11, 0, 0, 0, 0, 0, 11, 11, 25, 11, 0, 0, 0, 0, 0, 11, 11, 28, 11, 0, 0, 0, 0, 0, 11, 11, 31, 11, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 36, 11, 0, 0, 0, 0, 12, 12, 1, 2, 12, 12, 3, 3, 2, 2, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 3, 3, 0, 14, 14, 0, 15, 15, 0, 0, 1, 2, 2, 2, 2, 2, 2, 15, 15, 0, 0, 0, 0, 16, 16, 0, 0, 1, 2, 16, 16, 0, 0, 0, 0, 0, 0, 17, 17, 0, 0, 1, 2, 2, 2, 1, 4, 17, 17, 0, 0, 0, 0, 0, 0, 18, 18, 1, 2, 1, 4, 1, 6, 18, 18, 0, 19, 19, 1, 1, 2, 1, 1, 2, 19, 19, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 20, 20, 1, 1, 1, 1, 1, 2, 1, 1, 2, 20, 20, 0, 0, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 0, 2 ]
[ 465, 2322, 30, 1671, 30, 1133, 203, 30924, 280, 308, 655, 463, 90, 683, 3571, 36, 38, 27, 474, 308, 655, 463, 63, 683, 3571, 35, 40, 27, 474, 308, 655, 463, 66, 683, 3571, 42, 27, 474, 16167, 463, 34, 683, 203, 9863, 1099, 8484, 280, 225, 35, 262, 203, 64, 15421, 69, 280, 225, 38, 264, 203, 10209, 81, 10393, 280, 429, 36, 264, 203, 4602, 280, 225, 36, 39, 40, 203, 45194, 280, 428, 284, 308, 34, 30, 225, 34, 30, 225, 34, 30, 225, 36, 39, 39, 471, 284, 308, 36, 39, 39, 30, 225, 34, 30, 225, 34, 30, 225, 36, 39, 39, 471, 284, 308, 34, 30, 225, 36, 39, 39, 30, 225, 34, 30, 225, 36, 39, 39, 471, 284, 308, 34, 30, 225, 34, 30, 225, 36, 39, 39, 30, 225, 36, 39, 39, 471, 284, 308, 36, 39, 39, 30, 225, 36, 39, 39, 30, 225, 34, 30, 225, 36, 39, 39, 471, 284, 308, 34, 30, 225, 36, 39, 39, 30, 225, 36, 39, 39, 30, 225, 36, 39, 39, 471, 284, 308, 36, 39, 39, 30, 225, 34, 30, 225, 36, 39, 39, 30, 225, 36, 39, 39, 471, 284, 308, 36, 39, 39, 30, 225, 36, 39, 39, 30, 225, 36, 39, 39, 30, 225, 36, 39, 39, 471, 203, 79, 203, 589, 28624, 692, 26, 106, 30, 533, 711, 284, 310, 225, 280, 308, 106, 848, 533, 27, 319, 225, 38, 284, 310, 1454, 308, 106, 848, 11567, 33, 36, 27, 319, 225, 36, 284, 310, 1454, 308, 107, 848, 11567, 33, 36, 27, 284, 442, 310, 203, 823, 488, 5195, 44, 284, 665, 1156, 1664, 3207, 784, 30, 816, 575, 30, 533, 575, 30, 636, 347, 1006, 6687, 10280, 291, 630, 32, 74, 4602, 280, 816, 575, 291, 630, 32, 75, 4602, 280, 533, 575, 291, 630, 32, 4426, 280, 2322, 32, 98, 1676, 463, 449, 2751, 429, 98, 429, 93, 429, 96, 5461, 101, 14891, 904, 636, 30, 330, 105, 683, 291, 3338, 280, 1671, 32, 2423, 463, 59, 38977, 42, 30, 40262, 1102, 30, 816, 575, 30, 533, 575, 30, 18131, 1099, 8484, 30, 1891, 489, 15421, 69, 30, 225, 34, 30, 225, 34, 30, 225, 34, 27, 291, 630, 32, 4426, 32, 1821, 26, 2111, 27, 284, 665, 4230, 26, 784, 711, 291, 3338, 280, 1671, 32, 2423, 463, 3643, 3643, 370, 516, 65, 81, 10393, 30, 225, 34, 30, 225, 34, 30, 225, 34, 27, 291, 630, 32, 4426, 32, 1821, 26, 2111, 27, 291, 630, 32, 4426, 32, 2679, 346, 291, 630, 32, 4426, 280, 1665, 284, 665, 2866, 8069, 26, 784, 30, 816, 34, 30, 816, 35, 30, 533, 34, 30, 533, 35, 30, 1532, 100, 711, 291, 3338, 280, 1671, 32, 2423, 463, 7121, 7121, 370, 816, 34, 30, 816, 35, 30, 533, 34, 30, 533, 35, 27, 291, 630, 32, 4426, 32, 1821, 26, 2111, 27, 291, 1334, 280, 308, 106, 35, 429, 816, 34, 474, 225, 35, 27, 319, 308, 107, 35, 429, 533, 34, 474, 225, 35, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 9, 9, 11, 11, 7, 8, 8, 6, 5, 5, 9, 9, 11, 11, 7, 8, 8, 6, 4, 4, 8, 8, 10, 10, 6, 7, 5, 3, 3, 5, 7, 7, 0, 3, 3, 3, 2, 2, 3, 0, 0, 3, 3, 3, 2, 2, 3, 0, 0, 3, 3, 3, 2, 2, 4, 0, 0, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 3, 3, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 4, 8, 7, 7, 6, 5, 5, 6, 2, 2, 4, 4, 8, 7, 7, 8, 9, 6, 5, 5, 6, 2, 2, 4, 4, 7, 6, 6, 7, 8, 5, 2, 2, 3, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 7, 7, 7, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 8, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 11, 11, 10, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 9, 8, 8, 8, 9, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 8, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 8, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 6, 6, 11, 11, 10, 10, 11, 9, 9, 10, 8, 7, 7, 11, 11, 10, 10, 11, 9, 9, 10, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 7, 1, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 7, 7, 3, 2, 2, 1, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 7, 7, 7, 5, 2, 2, 1, 7, 7, 3, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 2, 2, 1, 1, 1, 9, 9, 3, 3, 3, 9, 9, 5, 9, 9, 7, 7, 7, 9, 2, 2, 1, 11, 11, 3, 3, 3, 11, 11, 5, 5, 5, 11, 11, 7, 7, 7, 11, 2, 2, 1, 1, 1, 13, 13, 3, 13, 13, 5, 5, 5, 13, 13, 7, 7, 7, 13, 2, 2, 1, 1, 1, 15, 15, 3, 3, 3, 15, 15, 5, 5, 5, 15, 15, 7, 7, 7, 15, 2, 2, 0, 7, 7, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 3, 0, 8, 8, 1, 8, 8, 8, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 9, 1, 1, 1, 11, 11, 1, 1, 13, 1, 1, 15, 1, 1, 17, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 0, 3, 3, 2, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 11, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2 ]
[ 465, 24495, 30, 20803, 30, 316, 30, 3995, 203, 1070, 261, 4134, 1188, 1623, 18241, 203, 1070, 261, 20803, 32, 407, 1188, 6350, 203, 1070, 261, 390, 817, 101, 1188, 13249, 30, 48694, 30, 4578, 30, 24650, 720, 203, 589, 4705, 26, 2195, 711, 203, 202, 3550, 280, 7361, 32, 371, 81, 26723, 440, 2963, 657, 203, 202, 2195, 32, 669, 81, 26723, 26, 9034, 4191, 26, 2195, 30, 4070, 490, 203, 823, 17119, 4191, 26, 7621, 32, 53, 817, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 7361, 30, 4070, 711, 357, 202, 784, 32, 2195, 280, 7361, 357, 202, 784, 32, 3550, 280, 4070, 357, 202, 784, 32, 86, 7920, 280, 225, 316, 32, 6993, 26, 100, 20, 12390, 91, 2502, 14928, 4987, 32, 6453, 110, 725, 8169, 508, 27, 5272, 2502, 44294, 20739, 27, 2009, 14747, 101, 6155, 14451, 357, 202, 784, 32, 26236, 81, 268, 280, 316, 32, 6993, 26, 100, 34761, 34, 31, 43, 8274, 35, 41, 30, 36, 35, 8474, 357, 202, 3264, 13249, 30, 48694, 357, 202, 2755, 280, 630, 32, 2195, 32, 371, 81, 26723, 440, 2755, 657, 357, 202, 12566, 280, 630, 32, 2195, 32, 371, 81, 26723, 440, 12566, 657, 203, 202, 4396, 665, 1474, 26, 784, 30, 1474, 711, 357, 202, 325, 646, 630, 32, 86, 7920, 32, 1903, 26, 1436, 32, 1286, 711, 442, 1665, 4512, 202, 325, 646, 630, 32, 3550, 32, 32821, 5944, 26, 1436, 32, 13455, 2360, 4913, 28827, 11624, 392, 2700, 711, 442, 1665, 4512, 202, 2095, 280, 2014, 630, 32, 2195, 32, 371, 81, 1819, 26, 1436, 27, 357, 202, 325, 13249, 32, 297, 81, 2195, 81, 2300, 26, 2095, 711, 442, 1665, 4512, 202, 601, 301, 330, 7180, 25, 499, 2933, 30, 330, 3410, 25, 499, 2933, 111, 203, 202, 50, 7621, 32, 2501, 26, 4617, 81, 1819, 47, 1815, 27, 203, 202, 4396, 665, 3345, 5817, 11362, 29255, 26, 784, 30, 3692, 30, 9305, 9155, 81, 1347, 280, 1665, 711, 357, 202, 325, 646, 2014, 13249, 32, 297, 81, 2195, 81, 2300, 81, 8443, 26, 2095, 711, 442, 357, 202, 6240, 3692, 32, 2714, 26, 2755, 32, 7134, 81, 1347, 81, 8126, 26, 2095, 2360, 4913, 20803, 31207, 7324, 1461, 4913, 28827, 11624, 392, 7134, 81, 1347, 490, 203, 202, 50, 7621, 32, 2501, 26, 4617, 81, 1819, 47, 1815, 27, 203, 202, 4396, 665, 739, 496, 10031, 26, 784, 30, 3692, 30, 5809, 499, 20803, 32, 4592, 280, 1665, 30, 9305, 8710, 499, 596, 280, 1665, 711, 357, 202, 297, 6444, 280, 630, 32, 3550, 32, 297, 6444, 26, 2095, 32, 2116, 27, 357, 202, 325, 438, 6444, 610, 1665, 44, 355, 202, 2076, 280, 330, 59, 1159, 646, 2583, 48320, 30, 319, 32434, 28, 4564, 355, 202, 601, 2014, 3692, 32, 2714, 26, 2076, 27, 357, 202, 12106, 438, 6444, 610, 3177, 44, 355, 202, 2076, 280, 330, 4282, 884, 646, 322, 319, 1508, 28, 7423, 432, 597, 32, 225, 9287, 322, 2091, 2790, 7423, 883, 793, 458, 2016, 4564, 355, 202, 601, 2014, 3692, 32, 2714, 26, 2076, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 3, 0, 1, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 2, 2, 6, 5, 6, 6, 6, 5, 7, 7, 7, 8, 7, 7, 7, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 6, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 5, 5, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 2, 2, 3, 3, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 6, 9, 10, 10, 8, 9, 8, 10, 9, 10, 8, 5, 7, 4, 4, 5, 5, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 10, 10, 10, 10, 9, 8, 5, 7, 4, 4, 7, 6, 6, 7, 10, 11, 9, 10, 10, 10, 9, 10, 9, 4, 4, 5, 5, 7, 8, 8, 8, 8, 8, 7, 8, 7, 5, 7, 4, 4, 5, 5, 6, 9, 9, 7, 7, 6, 6, 9, 9, 7, 7, 6, 2, 2, 4, 7, 6, 7, 6, 8, 8, 8, 7, 8, 6, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 7, 7, 6, 6, 5, 4, 4, 6, 6, 7, 8, 10, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 6, 5, 5, 7, 7, 9, 10, 9, 12, 11, 12, 12, 12, 12, 12, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 12, 11, 2, 2, 4, 7, 6, 7, 6, 8, 8, 8, 7, 8, 6, 3, 3, 4, 4, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 8, 9, 6, 6, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 10, 9, 11, 10, 11, 9, 5, 5, 6, 6, 8, 7, 7, 6, 6, 6, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 8, 8, 9, 11, 12, 11, 12, 11, 6, 6, 7, 7, 9, 8, 8, 7, 7, 7, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 9, 9, 10, 12, 13, 12, 13, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 4, 4, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 5, 5, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 4, 4, 1, 1, 1, 3, 1, 3, 3, 3, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 5, 5, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 5, 1, 1, 0, 5, 5, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 5, 5, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 0, 5, 5, 4, 4, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 3, 1, 3, 3, 3, 3, 3, 0, 0, 7, 7, 3, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 7, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 3, 3, 1, 1, 1, 2, 2, 3, 1, 3, 3, 3, 3, 5, 5, 0, 2, 5, 5, 3, 3, 3, 9, 9, 9, 9, 3, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 5, 5, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1 ]
[ 465, 5890, 203, 465, 7138, 203, 465, 2322, 203, 465, 15390, 605, 203, 589, 4483, 81, 426, 81, 452, 81, 7794, 26, 426, 711, 284, 636, 280, 636, 32, 3227, 42943, 32375, 5729, 346, 284, 636, 280, 636, 32, 2998, 440, 7788, 284, 415, 2069, 26, 426, 27, 848, 225, 36, 44, 291, 595, 280, 225, 34, 291, 17310, 280, 3330, 291, 2218, 595, 333, 225, 37, 44, 324, 17310, 1454, 636, 77, 91, 79, 324, 415, 595, 333, 225, 36, 44, 400, 17310, 1454, 25850, 324, 595, 1454, 225, 35, 291, 17310, 280, 15390, 605, 32, 12944, 463, 64, 11988, 54, 370, 17310, 547, 4434, 463, 14510, 370, 330, 3617, 683, 291, 17310, 280, 596, 26, 7794, 30, 7328, 347, 3310, 31, 42, 657, 291, 442, 17310, 474, 13189, 203, 1455, 81, 1199, 280, 2322, 32, 983, 32, 2524, 440, 497, 392, 313, 274, 7134, 32, 1199, 657, 203, 890, 81, 1199, 280, 313, 274, 7134, 81, 14107, 37, 32, 1199, 20, 203, 1199, 280, 5890, 32, 3517, 440, 14107, 555, 5681, 474, 3610, 81, 1199, 27, 203, 575, 280, 3082, 32, 1217, 440, 1613, 319, 225, 645, 534, 107, 412, 500, 657, 203, 890, 81, 3028, 280, 1605, 203, 7794, 101, 280, 1605, 261, 203, 979, 595, 328, 736, 44, 284, 6341, 280, 7138, 32, 6665, 32, 1070, 5561, 26, 91, 710, 5561, 3490, 284, 595, 710, 1003, 81, 4524, 785, 280, 6341, 284, 595, 710, 1003, 81, 42981, 785, 280, 6341, 284, 1596, 44, 291, 33668, 81, 2689, 5500, 280, 7138, 32, 6665, 32, 44832, 26, 324, 595, 710, 15738, 81, 2689, 5500, 2188, 324, 6611, 86, 9708, 95, 9708, 75, 370, 291, 829, 284, 2940, 10091, 44, 291, 33668, 81, 2689, 5500, 280, 7138, 32, 6665, 32, 44832, 26, 324, 595, 710, 15738, 81, 2689, 5500, 2188, 324, 6611, 86, 9708, 95, 9708, 107, 370, 291, 829, 284, 33668, 81, 2689, 5500, 280, 7138, 32, 6665, 32, 770, 26, 15738, 81, 2689, 5500, 27, 284, 595, 710, 15738, 81, 2689, 5500, 785, 280, 33668, 81, 2689, 5500, 284, 595, 710, 2832, 318, 12673, 785, 280, 595, 710, 1204, 81, 452, 81, 4682, 785, 284, 415, 595, 710, 4682, 81, 965, 785, 438, 1665, 44, 291, 595, 710, 4682, 81, 965, 785, 280, 4247, 284, 415, 595, 710, 29049, 19606, 81, 1637, 785, 438, 1665, 44, 291, 595, 710, 29049, 19606, 81, 1637, 785, 280, 4247, 284, 3555, 595, 710, 1204, 81, 452, 81, 4682, 785, 284, 3555, 595, 710, 5561, 785, 284, 3555, 595, 710, 314, 785, 284, 3555, 595, 710, 1204, 785, 284, 457, 7817, 427, 302, 280, 595, 710, 468, 7817, 427, 302, 5695, 2998, 463, 45, 683, 284, 436, 457, 4992, 328, 457, 7817, 427, 302, 44, 291, 457, 4992, 280, 457, 4992, 32, 7201, 346, 291, 2830, 280, 5436, 26, 12540, 47, 468, 4992, 27, 291, 415, 457, 4992, 438, 646, 1665, 461, 457, 4992, 32, 7201, 346, 863, 40496, 324, 457, 4992, 81, 7794, 280, 4483, 81, 426, 81, 452, 81, 7794, 26, 468, 4992, 27, 324, 2830, 710, 7794, 785, 280, 457 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 8, 9, 8, 8, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 2, 2, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 6, 6, 7, 4, 4, 6, 6, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 8, 9, 10, 9, 6, 6, 7, 8, 8, 9, 7, 7, 7, 10, 10, 6, 6, 8, 8, 9, 4, 4, 6, 6, 11, 10, 11, 10, 12, 12, 12, 12, 10, 10, 9, 8, 10, 10, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 8, 9, 11, 11, 11, 11, 4, 4, 5, 6, 6, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 7, 7, 7, 5, 5, 6, 6, 4, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 8, 6, 7, 7, 6, 8, 7, 9, 9, 2, 2, 5, 7, 7, 7, 7, 4, 4, 2, 2, 5, 7, 7, 7, 7, 4, 4, 2, 2, 3, 3, 3, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 3, 3, 4, 4, 4, 4, 8, 8, 8, 7, 7, 10, 11, 9, 10, 9, 9, 9, 10, 12, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 2, 2, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 6, 2, 2, 5, 7, 7, 7, 7, 7, 4, 4, 5, 5, 5, 2, 2, 5, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 7, 7, 7, 2, 2, 3, 5, 7, 7, 7, 7, 4, 4, 3, 3, 3, 7, 9, 9, 9, 9, 6, 6, 2, 2, 3, 5, 7, 7, 7, 7, 7, 4, 4, 3, 3, 3, 7, 9, 9, 9, 9, 9, 6, 6, 2, 2, 3, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 6, 6, 2, 2, 3, 4, 6, 6, 2, 2, 3, 4, 6, 6, 2, 2, 5, 5, 5, 4, 4, 7, 9, 9, 9, 9, 9, 7, 6, 8, 8, 2, 2, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 7, 6, 6, 9, 8, 9, 8, 4, 4, 6, 6, 8, 10, 9, 10, 10, 8, 4, 4, 5, 8, 7, 7, 7, 6, 6, 10, 9, 10, 9, 7, 7, 5, 5, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 6, 6, 9, 11, 11, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 3, 3, 0, 0, 3, 3, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 0, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 2, 3, 3, 5, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 11, 11, 11, 11, 11, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 5, 5, 0, 1, 1, 1, 2, 0, 0, 5, 5, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 5, 5, 7, 0, 1, 1, 1, 2, 1, 1, 7, 7, 7, 0, 1, 1, 1, 2, 0, 0, 5, 5, 8, 0, 1, 1, 1, 1, 2, 1, 1, 8, 8, 8, 0, 1, 1, 1, 1, 2, 0, 0, 5, 5, 9, 1, 1, 1, 1, 1, 1, 2, 5, 5, 10, 1, 1, 2, 5, 5, 11, 1, 1, 2, 5, 5, 12, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 5, 5, 14, 1, 14, 14, 3, 3, 3, 14, 14, 14, 0, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 1, 0, 1, 2, 2, 1, 5, 5, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 0, 1, 2, 0, 0 ]
[ 465, 5741, 203, 1070, 7120, 48858, 32, 410, 32402, 32, 26945, 1188, 5025, 27981, 203, 465, 7120, 48858, 32, 7490, 203, 465, 24212, 5326, 1052, 3773, 203, 1070, 32111, 81, 725, 32, 405, 46847, 1188, 2575, 81, 4458, 203, 1070, 32111, 81, 725, 32, 405, 46847, 32, 13229, 81, 2304, 1188, 26, 284, 36408, 1290, 984, 30, 284, 36408, 2755, 203, 27, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 35529, 12055, 12506, 26, 9904, 5326, 1052, 3773, 32, 26677, 2284, 24310, 3402, 5392, 959, 1761, 711, 284, 665, 617, 371, 81, 2111, 26, 784, 711, 291, 2575, 280, 630, 32, 371, 81, 2388, 81, 2386, 922, 1613, 81, 6270, 26, 1831, 81, 4458, 32, 4358, 4615, 27, 291, 442, 2575, 32, 1613, 81, 6270, 463, 1969, 2644, 370, 6619, 1300, 558, 1057, 8992, 12506, 2644, 683, 284, 665, 617, 1676, 81, 9642, 26, 784, 711, 291, 9973, 81, 1640, 280, 630, 1114, 371, 81, 2111, 922, 1613, 81, 6270, 26, 324, 1300, 558, 1057, 9642, 81, 1141, 81, 1640, 683, 291, 630, 32, 1493, 299, 81, 2929, 32, 2942, 81, 1473, 26, 9642, 81, 1640, 27, 291, 442, 630, 32, 371, 81, 2388, 81, 2386, 922, 1684, 81, 1613, 81, 6270, 26, 324, 1300, 558, 1057, 3543, 81, 9642, 81, 4710, 370, 324, 8702, 47, 1815, 27, 284, 665, 5021, 81, 1141, 81, 1640, 26, 784, 30, 2125, 81, 1473, 81, 426, 711, 291, 3338, 280, 630, 1114, 371, 81, 2111, 346, 291, 415, 646, 3338, 32, 7891, 44, 324, 2575, 280, 630, 32, 371, 81, 2388, 81, 2386, 922, 1613, 81, 6270, 26, 400, 2575, 81, 4458, 32, 4358, 4615, 27, 324, 816, 30, 533, 30, 341, 30, 420, 280, 2575, 32, 3264, 4367, 324, 630, 32, 1493, 299, 81, 2929, 32, 1500, 26, 106, 474, 308, 105, 434, 225, 36, 471, 533, 474, 308, 90, 434, 225, 36, 490, 324, 630, 32, 1493, 299, 81, 2929, 32, 2942, 346, 324, 3338, 32, 7891, 32, 1684, 81, 979, 26, 1815, 27, 291, 1596, 44, 324, 1300, 81, 426, 280, 2125, 81, 1473, 81, 426, 474, 7286, 1640, 20, 324, 3454, 280, 3338, 32, 1613, 81, 6270, 26, 45755, 47, 1473, 81, 426, 27, 324, 630, 32, 1493, 299, 81, 2929, 32, 2942, 81, 1473, 26, 1640, 27, 291, 2940, 5025, 27981, 44, 324, 1300, 81, 426, 280, 2125, 81, 1473, 81, 426, 474, 7286, 1640, 20, 324, 4726, 1498, 280, 630, 1114, 1676, 81, 9642, 346, 324, 3454, 280, 4726, 1498, 32, 1613, 81, 6270, 26, 45755, 47, 1473, 81, 426, 27, 324, 630, 32, 1493, 299, 81, 2929, 32, 2942, 81, 1473, 26, 1640, 27, 284, 477, 4846, 48858, 32, 7490, 32, 751, 81, 1141, 26, 4073, 32, 1338, 27, 284, 665, 3066, 81, 1700, 81, 8992, 26, 784, 30, 8655, 47, 1815, 711, 291, 630, 32, 2942, 81, 1141, 81, 1640, 440, 2560, 1714, 657, 291, 415, 8655, 44, 324, 630, 32, 8853, 81, 2560, 81, 8992, 346, 291, 813, 44, 324, 630, 32, 8151, 81, 2560, 81, 8992, 346, 284, 477, 4846, 48858, 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, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 11, 10, 9, 9, 9, 8, 10, 10, 10, 9, 10, 10, 8, 4, 4, 5, 7, 8, 8, 8, 7, 9, 9, 9, 7, 7, 9, 8, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 11, 11, 11, 10, 9, 9, 9, 8, 8, 8, 10, 9, 11, 11, 11, 11, 11, 11, 4, 4, 8, 9, 9, 9, 9, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 5, 9, 10, 10, 10, 10, 10, 9, 8, 8, 8, 8, 8, 7, 7, 7, 9, 8, 10, 10, 10, 10, 10, 10, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 6, 7, 8, 5, 5, 5, 8, 8, 12, 13, 13, 13, 13, 13, 12, 11, 11, 11, 10, 10, 10, 12, 12, 11, 12, 12, 10, 6, 6, 9, 9, 9, 9, 9, 9, 8, 8, 9, 10, 10, 6, 6, 10, 11, 11, 11, 11, 9, 10, 9, 11, 10, 10, 13, 12, 12, 13, 11, 9, 10, 10, 13, 12, 12, 13, 11, 6, 6, 10, 11, 11, 11, 11, 9, 10, 9, 6, 6, 10, 11, 9, 10, 10, 10, 9, 10, 9, 4, 4, 5, 5, 5, 9, 9, 8, 8, 10, 10, 10, 10, 9, 9, 11, 11, 6, 6, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 12, 12, 10, 6, 6, 10, 11, 11, 11, 11, 9, 10, 10, 10, 9, 10, 9, 5, 5, 6, 7, 6, 6, 6, 10, 10, 9, 9, 11, 11, 11, 11, 10, 10, 12, 12, 7, 7, 10, 9, 9, 11, 12, 12, 12, 11, 7, 7, 9, 9, 12, 11, 12, 12, 12, 11, 13, 12, 13, 13, 13, 11, 7, 7, 11, 12, 12, 12, 12, 10, 11, 11, 11, 10, 11, 10, 2, 2, 8, 8, 7, 8, 6, 7, 7, 7, 6, 8, 7, 8, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 5, 5, 6, 6, 6, 6, 10, 11, 11, 11, 11, 11, 10, 6, 6, 7, 7, 7, 11, 12, 12, 12, 12, 12, 11, 2, 2, 8, 8, 7 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 2, 1, 4, 4, 4, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 7, 7, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 3, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 0, 2, 2, 2, 2, 0, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0 ]
[ 9081, 280, 2107, 26275, 32, 407, 32, 4846, 431, 542, 370, 284, 330, 26275, 32, 407, 32, 1071, 687, 370, 284, 330, 26275, 32, 407, 32, 933, 5646, 785, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 2250, 280, 330, 43746, 31, 7732, 32930, 25, 203, 11794, 280, 330, 36, 34, 35, 40, 30, 48515, 358, 1058, 29755, 14885, 25, 203, 2116, 280, 330, 61, 37341, 358, 1058, 29755, 14885, 25, 203, 1648, 280, 330, 34, 32, 34, 25, 203, 3779, 280, 330, 34, 32, 34, 25, 203, 4189, 280, 1665, 203, 10444, 81, 15719, 280, 2107, 81, 1832, 370, 330, 13584, 101, 32, 1199, 370, 5608, 4135, 81, 2780, 785, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 10425, 81, 1017, 81, 20940, 280, 3177, 203, 916, 81, 4661, 280, 330, 279, 360, 1694, 25, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 4756, 81, 15705, 280, 330, 43746, 31, 7732, 32930, 1427, 25, 203, 24189, 81, 7594, 280, 301, 203, 111, 203, 24189, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 43746, 31, 7732, 32930, 32, 8581, 370, 330, 43746, 31, 7732, 32930, 12217, 370, 275, 330, 61, 37341, 358, 1058, 29755, 14885, 370, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 28206, 31, 2175, 16069, 370, 330, 43746, 31, 7732, 32930, 12217, 370, 275, 428, 2116, 614, 225, 35, 27, 203, 79, 203, 8581, 1338, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 43746, 31, 7732, 32930, 370, 330, 43746, 31, 7732, 32930, 12217, 370, 275, 4081, 30, 330, 43746, 31, 7732, 32930, 370, 330, 3582, 1628, 3048, 432, 2074, 6418, 275, 330, 6417, 36786, 1425, 203, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 5, 4, 5, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 7, 1, 9, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 465, 3619, 38513, 203, 1070, 7138, 1188, 7138, 203, 1070, 516, 2302, 24378, 6218, 32, 12283, 32, 15968, 1188, 34853, 203, 1070, 516, 2302, 24378, 6218, 32, 1063, 32, 1063, 1188, 3383, 203, 823, 32054, 26, 1473, 711, 284, 1156, 2559, 32095, 505, 280, 34853, 284, 1156, 38513, 280, 1665, 284, 1156, 4189, 280, 1665, 284, 1156, 1536, 10914, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 3667, 4189, 280, 3383, 922, 936, 440, 17462, 392, 313, 5971, 657, 291, 630, 3667, 1536, 10914, 280, 3383, 922, 936, 440, 17462, 392, 313, 47865, 36, 17663, 657, 291, 630, 3667, 38513, 280, 3619, 38513, 32, 65, 9050, 26, 2554, 81, 678, 47, 1063, 922, 936, 440, 17462, 392, 313, 27250, 1400, 1164, 953, 2113, 2898, 47, 784, 3667, 4189, 27, 284, 665, 40203, 17462, 26, 784, 30, 3894, 30, 10769, 47, 2521, 711, 291, 415, 26, 7035, 438, 1665, 711, 324, 10769, 280, 630, 3667, 1536, 10914, 291, 436, 2405, 280, 630, 3667, 38513, 32, 15859, 81, 269, 81, 1850, 26, 324, 10698, 34, 14239, 35, 16054, 1643, 26, 2645, 30, 10769, 490, 291, 442, 436, 2405, 32, 371, 81, 15859, 346, 284, 665, 1390, 8260, 17462, 26, 784, 30, 3894, 30, 2340, 47, 2521, 30, 10769, 47, 2521, 711, 291, 415, 26, 7035, 438, 1665, 711, 324, 10769, 280, 630, 3667, 1536, 10914, 291, 415, 26, 770, 438, 1665, 711, 324, 2340, 280, 7138, 32, 770, 32, 16003, 346, 474, 7138, 32, 32888, 26, 6124, 47, 35, 27, 291, 436, 2405, 280, 630, 3667, 38513, 32, 18779, 81, 24802, 26, 324, 10698, 34, 14239, 35, 16054, 1643, 26, 2645, 30, 10769, 490, 291, 442, 436, 2405, 32, 371, 81, 15859, 81, 269, 26, 770, 27, 284, 665, 1390, 17803, 14896, 32515, 26, 784, 30, 3894, 30, 10769, 47, 2521, 711, 291, 415, 26, 7035, 438, 1665, 711, 324, 10769, 280, 630, 3667, 1536, 10914, 291, 436, 2405, 280, 630, 3667, 38513, 32, 12192, 81, 14991, 81, 24802, 26, 324, 10698, 34, 14239, 35, 16054, 1643, 26, 2645, 30, 10769, 490, 291, 442, 436, 2405, 32, 371, 81, 24802, 346, 284, 665, 1390, 25264, 32515, 26, 784, 30, 3894, 30, 10769, 47, 2521, 711, 291, 415, 26, 7035, 438, 1665, 711, 324, 10769, 280, 630, 3667, 1536, 10914, 291, 436, 2405, 280, 630, 3667, 38513, 32, 18779, 81, 24802, 26, 324, 10698, 34, 14239, 35, 16054, 1643, 26, 2645, 30, 10769, 490, 291, 442, 436, 2405, 32, 371, 81, 24802, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 10, 9, 8, 10, 10, 8, 10, 10, 4, 4, 7, 8, 8, 6, 6, 10, 9, 8, 10, 10, 8, 10, 10, 10, 10, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 8, 10, 10, 10, 9, 13, 13, 12, 11, 13, 13, 11, 13, 13, 13, 13, 13, 8, 9, 11, 10, 11, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 8, 7, 7, 6, 5, 5, 8, 8, 9, 10, 10, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 8, 8, 12, 12, 12, 12, 11, 10, 11, 10, 10, 10, 4, 4, 5, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 6, 8, 7, 7, 6, 5, 5, 8, 8, 9, 10, 10, 4, 4, 6, 8, 7, 7, 6, 5, 5, 8, 8, 12, 13, 11, 12, 11, 9, 9, 11, 12, 11, 13, 12, 13, 11, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 8, 8, 12, 12, 12, 12, 11, 10, 11, 10, 10, 10, 4, 4, 5, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 8, 7, 7, 6, 5, 5, 8, 8, 9, 10, 10, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 8, 8, 12, 12, 12, 12, 11, 10, 11, 10, 10, 10, 4, 4, 5, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 8, 7, 7, 6, 5, 5, 8, 8, 9, 10, 10, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 8, 8, 12, 12, 12, 12, 11, 10, 11, 10, 10, 10, 4, 4, 5, 8, 7, 8, 8, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 1, 4, 4, 5, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 5, 5, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 2, 2, 2, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 6, 6, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 7, 7, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 2, 2, 2, 1, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 8, 8, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 24021, 2893, 280, 5881, 203, 1647, 44, 831, 42, 101, 81, 12627, 203, 4021, 81, 2310, 44, 4793, 30, 8250, 556, 11322, 312, 10949, 544, 312, 13919, 556, 3927, 10210, 4904, 32, 203, 2310, 44, 334, 429, 4793, 30, 8250, 556, 11322, 312, 10949, 544, 312, 13919, 556, 3927, 10210, 4904, 810, 5748, 322, 390, 26, 1293, 27, 372, 439, 26, 2689, 27, 556, 284, 439, 26, 3596, 304, 547, 334, 429, 36311, 1505, 2926, 32, 4417, 1505, 2926, 372, 2202, 312, 1149, 432, 6885, 322, 2297, 1098, 4818, 32, 203, 2184, 44, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 9592, 203, 10934, 280, 5881, 203, 9592, 203, 465, 5741, 203, 465, 5741, 32, 1163, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 6390, 1188, 319, 203, 1070, 28520, 81, 2630, 32, 4798, 283, 32, 93, 42, 101, 81, 1237, 1188, 1224, 42, 101, 2551, 203, 1070, 28520, 81, 2630, 32, 4798, 283, 32, 11452, 1188, 35031, 1011, 984, 203, 4073, 280, 5741, 32, 10579, 463, 93, 42, 101, 81, 12627, 683, 203, 3602, 32384, 280, 308, 284, 301, 291, 330, 1648, 950, 225, 35, 30, 291, 330, 5820, 81, 12724, 81, 751, 7983, 950, 2933, 30, 291, 330, 14458, 950, 301, 324, 330, 1693, 950, 301, 400, 330, 2649, 950, 330, 2897, 370, 400, 330, 823, 950, 330, 7490, 32, 1883, 1972, 370, 324, 801, 324, 330, 761, 950, 301, 400, 330, 2649, 950, 330, 2897, 370, 400, 330, 823, 950, 330, 7490, 32, 974, 1972, 370, 400, 330, 3607, 950, 330, 19441, 31, 2630, 32, 751, 25, 324, 320, 291, 801, 291, 330, 751, 7983, 950, 301, 324, 330, 93, 42, 101, 81, 12627, 950, 301, 400, 330, 14458, 950, 2107, 761, 2188, 400, 330, 2649, 950, 330, 1589, 370, 324, 801, 324, 330, 2630, 950, 301, 400, 330, 14458, 950, 2107, 761, 2188, 400, 330, 2649, 950, 330, 1589, 370, 324, 801, 324, 330, 9307, 950, 301, 400, 330, 14458, 950, 5518, 400, 330, 2649, 950, 330, 1589, 25, 324, 801, 324, 330, 4205, 950, 301, 400, 330, 14458, 950, 5518, 400, 330, 2649, 950, 330, 1589, 25, 324, 320, 291, 801, 284, 320, 203, 27, 203, 823, 1224, 42, 69, 12080, 1572, 26, 1045, 21581, 2459, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 626, 81, 2285, 280, 5436, 26, 324, 2074, 81, 426, 47, 2665, 26, 681, 1057, 466, 370, 20664, 11414, 2011, 2188, 2129, 47, 1815, 471, 324, 1603, 47, 2665, 26, 681, 1057, 466, 370, 16682, 11414, 2689, 370, 330, 3596, 304, 2188, 1244, 1057, 2689, 1425, 324, 6492, 47, 2665, 26, 681, 1057, 2665, 1425, 324, 10949, 81, 426, 47, 2665, 26, 681, 1057, 466, 1425, 324, 38849, 47, 2665, 26, 681, 1057, 2420, 370, 1244, 47, 2700, 471, 324, 7084, 47, 2665, 26, 681, 1057, 2420, 370, 1244, 47, 1815, 471, 324, 9182, 47, 2665, 26, 681, 1057, 2665, 1425, 324, 37385, 47, 2665, 26, 681, 1057, 410, 370, 1244, 47, 35, 471, 324, 15293, 47, 2665, 26, 681, 1057, 668, 1425, 324, 13689, 47, 2665, 26, 681, 1057 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 3, 3, 4, 4, 7, 7, 5, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 5, 4, 4, 4, 7, 7, 5, 6, 6, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 8, 8, 6, 6, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 4, 4, 7, 7, 7, 5, 6, 6, 9, 9, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 12, 12, 8, 8, 11, 11, 9, 11, 11, 8, 8, 6, 6, 9, 9, 7, 8, 8, 11, 11, 9, 12, 12, 8, 8, 11, 11, 9, 11, 11, 8, 8, 6, 6, 9, 9, 7, 8, 8, 11, 11, 9, 8, 8, 11, 11, 9, 11, 11, 8, 8, 6, 6, 9, 9, 7, 8, 8, 11, 11, 9, 8, 8, 11, 11, 9, 11, 11, 8, 8, 6, 6, 4, 4, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 10, 10, 9, 11, 11, 13, 12, 14, 14, 11, 12, 15, 15, 11, 12, 13, 11, 8, 8, 9, 11, 11, 13, 12, 14, 14, 11, 12, 15, 15, 13, 15, 15, 15, 11, 12, 14, 14, 8, 8, 9, 11, 11, 13, 12, 14, 14, 8, 8, 10, 10, 9, 11, 11, 13, 12, 14, 14, 8, 8, 9, 11, 11, 13, 12, 14, 14, 11, 12, 13, 11, 8, 8, 9, 11, 11, 13, 12, 14, 14, 11, 12, 13, 11, 8, 8, 9, 11, 11, 13, 12, 14, 14, 8, 8, 9, 11, 11, 13, 12, 14, 14, 11, 12, 13, 11, 8, 8, 9, 11, 11, 13, 12, 14, 14, 8, 8, 9, 11, 11, 13, 12 ]
[ 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, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 3, 3, 0, 4, 4, 1, 2, 0, 5, 5, 1, 2, 2, 2, 1, 4, 5, 5, 0, 6, 6, 0, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 6, 6, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 1, 2, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 10, 10, 1, 1, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 3, 1, 2, 1, 5, 2, 1, 1, 1, 3, 0, 1, 0, 1, 1, 2, 1, 3, 1, 2, 2, 1, 1, 2, 1, 5, 1, 2, 1, 1, 5, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 7, 0, 1, 0, 1, 1, 2, 1, 1, 9, 0, 1, 0, 1, 1, 2, 1, 3, 2, 1, 1, 1, 11, 0, 1, 0, 1, 1, 2, 1, 3, 2, 1, 1, 1, 13, 0, 1, 0, 1, 1, 2, 1, 1, 15, 0, 1, 0, 1, 1, 2, 1, 3, 2, 1, 1, 1, 17, 0, 1, 0, 1, 1, 2, 1, 1, 19, 0, 1, 0, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 1459, 81, 1126, 30, 20654, 30, 15390, 81, 30839, 203, 8648, 90, 203, 95, 18105, 612, 1188, 2488, 30, 20984, 882, 7870, 203, 1070, 35094, 1188, 7360, 203, 1070, 638, 1188, 5675, 1761, 2084, 30, 1486, 1761, 3273, 203, 1070, 4377, 1439, 1188, 3772, 2084, 30, 1761, 3273, 30, 41147, 318, 1120, 30, 41147, 318, 1120, 1120, 30, 44308, 619, 1695, 41866, 30, 4942, 81, 1761, 3273, 30, 2282, 81, 1761, 2084, 30, 3139, 750, 30, 7434, 750, 203, 1070, 4377, 1439, 32, 2122, 1188, 1550, 81, 2122, 203, 465, 5741, 203, 4073, 280, 5741, 32, 10579, 440, 29423, 290, 4750, 32, 1580, 32, 3542, 657, 203, 823, 617, 1337, 16627, 44, 3097, 203, 823, 10421, 5392, 26, 1473, 711, 203, 202, 2993, 15015, 81, 1664, 3207, 784, 30, 605, 711, 357, 202, 784, 32, 605, 280, 706, 203, 589, 831, 466, 26, 104, 711, 203, 202, 93, 280, 18623, 26, 104, 1947, 505, 2665, 505, 370, 2521, 27, 203, 202, 325, 831, 438, 646, 1665, 44, 357, 202, 93, 280, 831, 32, 371, 14728, 678, 370, 2521, 27, 203, 202, 325, 831, 438, 646, 1665, 44, 357, 202, 601, 5608, 2473, 2524, 26, 466, 26, 106, 27, 436, 816, 328, 831, 32, 678, 27, 203, 202, 1824, 44, 357, 202, 601, 596, 26, 104, 27, 203, 589, 3233, 81, 678, 26, 83, 38747, 4124, 711, 203, 202, 2993, 964, 335, 297, 1665, 44, 357, 202, 83, 280, 1404, 203, 202, 601, 17359, 32, 2524, 26, 93, 466, 26, 104, 27, 436, 354, 328, 312, 27, 474, 330, 19994, 474, 17359, 32, 2524, 44805, 19189, 2473, 1643, 26, 93, 30, 831, 466, 26, 104, 490, 436, 831, 30, 104, 328, 8594, 26, 4124, 32, 3028, 5156, 203, 21, 1348, 9224, 280, 1695, 41866, 31445, 203, 589, 22256, 81, 8713, 26, 6933, 711, 203, 202, 27342, 32, 1689, 26, 6933, 27, 203, 202, 601, 9011, 203, 21, 1348, 1596, 280, 2149, 203, 589, 1695, 823, 81, 979, 2740, 93, 711, 203, 202, 2993, 78, 357, 202, 23299, 26, 3359, 711, 357, 202, 81, 8200, 77, 93, 79, 280, 2771, 357, 202, 601, 2771, 203, 202, 601, 11504, 203, 823, 5675, 18239, 318, 1120, 26, 1486, 1761, 3273, 30, 18239, 318, 1120, 711, 203, 202, 2993, 78, 357, 202, 81, 1664, 3207, 784, 26477, 83, 38747, 93, 711, 357, 202, 5266, 26, 1486, 18239, 318, 1120, 30, 784, 14585, 1664, 45909, 83, 38747, 93, 27, 357, 202, 784, 32, 36183, 2907, 280, 31284, 882, 7870, 346, 357, 202, 784, 1114, 823, 280, 1665, 203, 202, 589, 1156, 1851, 3207, 784, 30, 617, 297, 81, 2859, 47, 2700, 30, 319, 83, 38747, 4124, 711, 357, 202, 2993, 78, 357, 202, 47, 630, 1114, 823, 357, 202, 325, 9011, 438, 1665, 44, 355, 202, 93, 280, 630, 1114, 678, 32, 678, 355, 202, 6933, 280, 617, 8200, 32, 371, 26, 93, 30, 2521, 27, 355, 202, 325, 9011, 438, 1665, 44, 603, 202, 21, 30090, 280, 617, 8200, 32, 371, 1162, 93, 20129, 35, 1130, 14541, 2521 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 2, 3, 1, 1, 3, 3, 3, 1, 3, 3, 3, 3, 1, 1, 3, 1, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1, 5, 4, 4, 0, 0, 1, 1, 5, 6, 5, 7, 7, 7, 8, 7, 5, 6, 6, 6, 5, 3, 3, 5, 2, 2, 4, 5, 4, 8, 8, 7, 6, 7, 6, 6, 8, 8, 9, 8, 4, 5, 6, 7, 5, 5, 7, 10, 9, 10, 9, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 6, 5, 6, 5, 6, 5, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 2, 2, 2, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 5, 5, 5, 5, 4, 6, 4, 6, 4, 1, 1, 7, 7, 8, 8, 8, 8, 7, 8, 7, 6, 6, 7, 5, 7, 5, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 6, 2, 2, 6, 5, 6, 4, 4, 0, 0, 1, 1, 2, 2, 3, 2, 2, 4, 4, 4, 3, 4, 2, 2, 4, 2, 4, 2, 1, 1, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 3, 3, 0, 0, 0, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 11, 11, 2, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 10, 10, 0, 11, 11, 1, 2, 1, 2, 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, 2, 1, 1, 1, 4, 4, 11, 11, 0, 0, 0, 0, 0, 12, 12, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 14, 14, 14, 14, 14, 14, 14, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 0, 16, 16, 16, 16, 16, 0, 17, 17, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 3, 1, 3, 1, 3, 17, 17, 0, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 1, 5, 5, 0, 0, 2, 2, 0, 0, 0, 0, 1, 5, 5, 0, 0, 2, 0, 0, 0, 0, 18, 18, 1, 1, 1, 2, 2, 0, 0, 0, 3, 2, 2, 2, 1, 2, 1, 2, 18, 18, 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 ]
[ 465, 2322, 32, 983, 619, 3089, 203, 465, 1695, 40, 38, 203, 465, 420, 39, 978, 203, 465, 13092, 203, 465, 7375, 1323, 352, 32, 21678, 32, 7740, 24653, 619, 420, 89, 6974, 203, 589, 894, 81, 7740, 24653, 2262, 284, 4870, 280, 3089, 32, 2524, 440, 858, 33, 3287, 81, 605, 392, 313, 3287, 81, 89, 14499, 32, 7740, 8017, 32, 8391, 39, 657, 284, 623, 420, 39, 978, 32, 974, 26, 3607, 30, 313, 100, 657, 619, 420, 39, 44, 291, 9617, 81, 891, 280, 420, 39, 1365, 1338, 6494, 10407, 1365, 8336, 31, 891, 1446, 291, 12066, 101, 280, 1149, 26, 90, 39, 1365, 15592, 101, 6494, 3494, 1157, 291, 736, 97, 280, 12066, 101, 77, 34, 79, 291, 25680, 101, 280, 420, 39, 77, 88, 20, 15592, 101, 5263, 575, 97, 3188, 16129, 101, 33, 426, 1446, 31445, 291, 1929, 81, 2138, 280, 420, 39, 77, 88, 20, 15592, 101, 5263, 575, 97, 3188, 2810, 15544, 16129, 101, 77, 34, 17864, 3229, 77, 35, 79, 291, 3380, 81, 1322, 280, 3632, 26, 90, 39, 1365, 16129, 101, 33, 1322, 6890, 284, 3099, 280, 420, 89, 6974, 32, 8336, 470, 81, 1338, 26, 3607, 27, 284, 1201, 3099, 1365, 3229, 1446, 610, 428, 8336, 81, 891, 30, 1929, 81, 2138, 79, 284, 1201, 3099, 1365, 8336, 81, 891, 1446, 610, 9617, 81, 891, 284, 1201, 3099, 1365, 1449, 81, 966, 1446, 610, 3380, 81, 1322, 284, 1201, 739, 26, 1338, 1365, 15592, 101, 6890, 610, 739, 26, 410, 26, 575, 97, 27, 436, 736, 97, 328, 12066, 101, 27, 284, 894, 81, 8336, 280, 420, 89, 6974, 32, 371, 81, 6270, 81, 8336, 26, 3607, 30, 428, 34, 30, 225, 34, 1130, 284, 1201, 1149, 26, 858, 81, 8336, 32, 3229, 5594, 23523, 35, 79, 610, 3099, 1365, 3229, 1446, 284, 623, 13092, 32, 16708, 26, 1284, 924, 711, 291, 420, 89, 6974, 32, 371, 81, 6270, 81, 8336, 26, 3607, 30, 428, 1657, 26, 15592, 101, 471, 225, 34, 1130, 284, 273, 3631, 280, 428, 88, 20, 858, 81, 6572, 12604, 2649, 4009, 34, 32, 35, 36, 37, 35, 32, 35, 36, 37, 20, 436, 3193, 328, 2155, 26, 1657, 26, 15592, 101, 12634, 284, 22348, 280, 420, 89, 6974, 32, 21678, 26, 3607, 30, 273, 3631, 27, 284, 436, 9617, 81, 314, 30, 9617, 81, 853, 328, 22348, 44, 291, 9617, 81, 966, 280, 428, 410, 26, 91, 27, 436, 595, 328, 9617, 81, 314, 32, 2998, 5791, 16050, 35, 44, 37, 3212, 291, 3982, 81, 8336, 280, 420, 89, 6974, 32, 371, 81, 6270, 81, 8336, 26, 3607, 30, 9617, 81, 966, 547, 15315, 26, 324, 9617, 81, 853, 1365, 12010, 1446, 291, 829, 291, 1201, 308, 324, 1695, 40, 38, 32, 84, 40, 38, 4434, 26, 6270, 81, 8336, 32, 38665, 4251, 5460, 440, 3310, 31, 42, 657, 610, 9617, 81, 853, 1365, 19625, 1446, 291, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 4, 3, 4, 3, 4, 4, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 9, 9, 8, 9, 8, 9, 8, 8, 10, 10, 6, 6, 8, 3, 3, 3, 7, 7, 6, 6, 10, 9, 11, 11, 9, 7, 9, 9, 9, 9, 4, 4, 7, 6, 6, 8, 12, 12, 11, 13, 13, 13, 11, 10, 4, 4, 7, 6, 6, 8, 7, 8, 7, 4, 4, 7, 6, 6, 9, 8, 10, 10, 10, 10, 10, 11, 11, 10, 10, 10, 10, 10, 10, 7, 4, 4, 7, 7, 6, 6, 11, 10, 12, 12, 12, 12, 12, 13, 13, 12, 12, 12, 11, 11, 10, 11, 10, 9, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 10, 10, 9, 11, 11, 11, 11, 11, 2, 2, 4, 4, 7, 7, 6, 7, 7, 7, 7, 6, 7, 6, 2, 2, 3, 5, 7, 7, 4, 4, 6, 6, 6, 5, 5, 6, 6, 5, 2, 2, 3, 5, 7, 7, 7, 7, 4, 4, 5, 5, 2, 2, 3, 5, 7, 7, 7, 7, 4, 4, 5, 5, 2, 2, 3, 6, 8, 7, 9, 9, 9, 4, 4, 6, 8, 8, 9, 9, 8, 6, 7, 8, 7, 7, 8, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 6, 6, 8, 7, 7, 8, 7, 2, 2, 3, 7, 9, 9, 9, 8, 9, 7, 6, 8, 5, 4, 4, 5, 7, 7, 2, 2, 3, 7, 8, 7, 8, 8, 7, 3, 3, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 10, 10, 11, 11, 10, 8, 9, 8, 2, 2, 5, 4, 4, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 6, 8, 10, 10, 11, 11, 10, 2, 2, 4, 4, 7, 7, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 3, 5, 5, 4, 4, 5, 5, 3, 3, 3, 3, 3, 7, 7, 6, 6, 9, 9, 10, 9, 7, 8, 8, 8, 12, 12, 11, 12, 11, 13, 11, 10, 11, 9, 4, 4, 7, 7, 6, 6, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 10, 10, 11, 11, 10, 9, 8, 8, 8, 10, 10, 9, 11, 11, 8, 8, 4, 4, 5, 6, 6, 12, 12, 11, 12, 12, 12, 12, 11, 14, 14, 14, 13, 14, 13, 10, 9, 11, 11, 11, 11, 7, 7, 9, 9, 8, 10, 10, 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 ]
[ 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 2, 0, 4, 4, 1, 1, 2, 2, 0, 5, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 4, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 4, 0, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 5, 0, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 6, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 8, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 4, 4, 9, 0, 2, 1, 1, 1, 1, 9, 9, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 12, 0, 0, 1, 1, 2, 2, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 3, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 5, 5, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 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 ]
[ 1070, 8527, 32, 525, 1188, 17874, 203, 1070, 8527, 32, 2387, 32, 4554, 1188, 622, 81, 2387, 203, 1070, 8527, 32, 2387, 1188, 7049, 203, 1070, 341, 6455, 32, 3550, 1188, 676, 1438, 81, 10394, 30, 676, 1438, 81, 18906, 73, 81, 10923, 81, 7414, 203, 465, 281, 14686, 274, 619, 19571, 203, 465, 2361, 30, 1133, 30, 2322, 203, 589, 2965, 36, 678, 26, 2468, 711, 284, 540, 280, 225, 34, 284, 436, 309, 328, 2965, 77, 34, 997, 2998, 3949, 7831, 291, 540, 280, 540, 1264, 225, 42, 291, 540, 1454, 629, 26, 101, 27, 284, 540, 280, 540, 1264, 225, 35, 40, 284, 540, 1454, 2965, 77, 35, 79, 284, 442, 540, 203, 589, 1650, 26, 1357, 711, 284, 273, 280, 622, 81, 2387, 463, 1055, 32, 916, 683, 284, 442, 17874, 26, 102, 32, 3169, 26, 1222, 5156, 203, 589, 9025, 26, 1357, 711, 284, 273, 280, 622, 81, 2387, 463, 7365, 32, 916, 683, 284, 442, 17874, 26, 102, 32, 3169, 26, 1222, 5156, 203, 589, 1946, 1851, 26, 1357, 711, 284, 1133, 32, 7840, 26, 35, 27, 284, 665, 1984, 26, 85, 711, 291, 11227, 280, 676, 1438, 81, 18906, 73, 81, 10923, 81, 7414, 291, 442, 330, 525, 555, 23, 101, 23, 101, 33, 8996, 9708, 86, 7404, 904, 308, 4288, 11227, 77, 34, 614, 4288, 4247, 415, 11227, 77, 35, 79, 610, 225, 42, 34, 813, 330, 6069, 86, 25, 904, 11227, 77, 35, 614, 324, 2965, 36, 678, 26, 85, 490, 284, 8621, 720, 280, 2322, 32, 26366, 4912, 101, 20, 904, 676, 1438, 81, 10394, 27, 284, 415, 8621, 720, 438, 1665, 44, 291, 1188, 1340, 291, 1340, 32, 42137, 26, 1696, 47, 6862, 1157, 284, 8621, 720, 32, 3323, 346, 284, 8621, 720, 7086, 280, 428, 24088, 32, 944, 26, 1676, 4912, 101, 9708, 101, 20, 904, 308, 4920, 81, 10394, 30, 636, 471, 330, 100, 2847, 11057, 436, 636, 328, 8621, 720, 79, 284, 4567, 720, 280, 10440, 2468, 36, 678, 26, 85, 471, 965, 26, 85, 471, 85, 77, 34, 1130, 436, 281, 328, 8621, 720, 7086, 79, 284, 1789, 81, 605, 280, 2149, 284, 1789, 81, 605, 710, 1267, 785, 280, 330, 2950, 25, 284, 1789, 81, 605, 710, 1436, 785, 280, 5053, 7199, 11646, 950, 4567, 720, 111, 284, 1459, 1789, 81, 605, 284, 442, 17874, 26, 1260, 32, 16958, 26, 1986, 81, 605, 471, 1795, 81, 681, 347, 3164, 33, 1260, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 2, 2, 3, 3, 3, 6, 7, 6, 6, 5, 7, 3, 3, 6, 6, 7, 7, 8, 4, 4, 6, 6, 8, 9, 8, 2, 2, 4, 4, 5, 5, 6, 6, 2, 2, 4, 4, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 8, 2, 2, 3, 5, 8, 7, 8, 7, 9, 9, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 8, 2, 2, 3, 5, 8, 7, 8, 7, 9, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 6, 5, 6, 5, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 8, 9, 8, 7, 7, 8, 8, 10, 11, 10, 9, 9, 10, 10, 8, 8, 11, 11, 11, 9, 9, 10, 11, 10, 7, 7, 9, 9, 9, 10, 9, 2, 2, 5, 4, 4, 6, 7, 6, 9, 9, 7, 7, 8, 8, 8, 6, 2, 2, 3, 5, 4, 4, 3, 3, 3, 5, 4, 4, 7, 8, 7, 9, 8, 10, 10, 2, 2, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 8, 7, 8, 7, 9, 9, 12, 12, 12, 12, 10, 10, 12, 12, 12, 11, 11, 11, 9, 11, 11, 5, 5, 6, 6, 6, 7, 5, 2, 2, 5, 4, 4, 8, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 7, 8, 7, 5, 6, 6, 6, 7, 7, 5, 2, 2, 5, 5, 4, 4, 2, 2, 6, 6, 5, 7, 7, 4, 4, 6, 6, 2, 2, 6, 6, 5, 7, 7, 4, 4, 8, 8, 8, 6, 7, 5, 2, 2, 3, 4, 4, 2, 2, 3, 5, 8, 7, 8, 7, 8, 8, 8, 7, 5, 7, 7, 6, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 0, 5, 5, 5, 5, 5, 5, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 2, 4, 4, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 5, 5, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 4, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 0, 0, 2, 1, 0, 1, 0, 8, 8, 2, 1, 2, 8, 8, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 0, 0, 2, 1, 0, 1, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 2, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 3, 3, 0, 2, 0, 2, 2, 2, 2, 3, 3, 1, 1, 2, 4, 4, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 4, 4, 3, 0, 1, 1, 3, 3, 3, 0, 3, 3, 0, 2, 1, 0, 1, 0, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 5, 2, 5, 2, 2, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 4, 4, 10, 1, 1, 4, 4, 11, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 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 ]
[ 465, 6436, 619, 2065, 203, 589, 1974, 81, 5138, 81, 1793, 81, 10575, 81, 858, 81, 1732, 2262, 284, 2065, 32, 3855, 32, 7389, 26, 35, 27, 284, 9608, 81, 3306, 280, 225, 34, 32, 34, 35, 284, 624, 35, 280, 2065, 32, 3855, 32, 39385, 26, 36, 30, 225, 37, 27, 284, 323, 35, 280, 2065, 32, 3855, 32, 39385, 26, 36, 30, 225, 35, 27, 284, 624, 36, 280, 2065, 32, 3855, 32, 39385, 26, 37, 30, 225, 37, 27, 284, 323, 36, 280, 2065, 32, 3855, 32, 39385, 26, 37, 30, 225, 35, 27, 284, 343, 73, 35, 280, 2065, 32, 3855, 32, 39385, 26, 36, 30, 225, 37, 27, 284, 3082, 35, 280, 2065, 32, 3855, 32, 39385, 26, 36, 30, 225, 35, 27, 284, 343, 73, 36, 280, 2065, 32, 3855, 32, 39385, 26, 37, 30, 225, 37, 27, 284, 3082, 36, 280, 2065, 32, 3855, 32, 39385, 26, 37, 30, 225, 35, 27, 284, 3377, 280, 3447, 73, 35, 563, 624, 35, 30, 313, 84, 35, 563, 323, 35, 30, 313, 73, 36, 563, 624, 36, 30, 313, 84, 36, 563, 323, 36, 111, 284, 8056, 101, 280, 3447, 86, 73, 35, 563, 343, 73, 35, 30, 313, 1199, 35, 563, 3082, 35, 30, 313, 86, 73, 36, 563, 343, 73, 36, 30, 313, 1199, 36, 563, 3082, 36, 111, 284, 442, 3377, 30, 8056, 101, 30, 9608, 81, 3306, 203, 589, 3995, 81, 15920, 81, 29707, 81, 858, 81, 1732, 2262, 284, 2065, 32, 3855, 32, 7389, 26, 35, 27, 284, 21776, 81, 4432, 81, 891, 280, 225, 40, 38, 284, 1593, 280, 2065, 32, 3855, 32, 39385, 26, 35, 36, 36, 42, 42, 30, 225, 35, 38, 42, 27, 284, 1410, 280, 2065, 32, 3855, 32, 39385, 26, 35, 30, 225, 35, 38, 42, 27, 333, 225, 34, 32, 39, 284, 442, 1593, 30, 1410, 30, 21776, 81, 4432, 81, 891, 203, 589, 7379, 81, 14934, 81, 858, 81, 1732, 2262, 284, 2065, 32, 3855, 32, 7389, 26, 35, 27, 284, 624, 35, 280, 2065, 32, 3855, 32, 39385, 26, 36, 30, 225, 37, 27, 284, 323, 35, 280, 2065, 32, 3855, 32, 39385, 26, 36, 30, 225, 35, 27, 284, 624, 36, 280, 2065, 32, 3855, 32, 39385, 26, 37, 30, 225, 37, 27, 284, 323, 36, 280, 2065, 32, 3855, 32, 39385, 26, 37, 30, 225, 35, 27, 284, 3377, 280, 3447, 73, 35, 563, 624, 35, 30, 313, 84, 35, 563, 323, 35, 30, 313, 73, 36, 563, 624, 36, 30, 313, 84, 36, 563, 323, 36, 111, 284, 442, 3377, 203, 589, 1974, 81, 5138, 81, 1793, 81, 39370, 81, 858, 81, 1732, 2262, 284, 2065, 32, 3855, 32, 7389, 26, 35, 27, 284, 624, 35, 280, 2065, 32, 3855, 32, 39385, 26, 36, 30, 225, 37, 27, 284, 323, 35, 280, 2065, 32, 3855, 32, 39385, 26, 36, 30, 225, 35, 27, 284, 624, 36, 280, 2065, 32, 3855, 32, 39385, 26, 37, 30, 225, 37, 27, 284, 323, 36, 280, 2065, 32, 3855, 32, 39385, 26, 37, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 6, 7, 5, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 4, 4, 8, 8, 8, 6, 7, 5, 5, 8, 8, 8, 6, 7, 5, 5, 8, 8, 8, 6, 7, 5, 5, 8, 8, 8, 6, 7, 5, 2, 2, 5, 4, 4, 8, 8, 8, 8, 6, 7, 7, 5, 5, 8, 8, 8, 6, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 8, 8, 8, 6, 7, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 6, 7, 5, 6, 5, 6, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 2, 2, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 4, 4, 8, 9, 7, 8, 7, 8, 7, 7, 8, 8, 8, 7, 5, 5, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 6, 7, 5, 6, 5, 6, 5, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 4, 4, 8, 8, 8, 6, 7, 5, 5, 8, 8, 8, 6, 7, 5, 5, 8, 8, 8, 6, 7, 5, 5, 8, 8, 8, 6, 7, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 6, 7, 5, 6, 5, 6, 5, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 1, 1, 2, 5, 2, 2, 2, 1, 1, 2, 7, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 1, 2, 7, 2, 2, 4, 4, 12, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 4, 4, 4, 4, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 1, 1, 2, 5, 2, 2, 2, 1, 1, 2, 7, 2, 2, 4, 4, 6, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1 ]
[ 465, 43744, 978, 203, 823, 2680, 2554, 1917, 26, 1473, 711, 284, 23447, 280, 2933, 284, 665, 1156, 1664, 3207, 784, 30, 10625, 30, 13807, 711, 291, 630, 32, 8543, 280, 10625, 291, 630, 32, 14794, 280, 13807, 284, 665, 1650, 26, 784, 711, 291, 442, 313, 1240, 4125, 6422, 20, 284, 477, 380, 10257, 978, 32, 4280, 32, 1260, 81, 541, 346, 284, 477, 380, 10257, 978, 32, 4280, 32, 1260, 81, 266, 346, 284, 477, 380, 10257, 978, 32, 4280, 32, 2393, 26, 9198, 347, 2734, 99, 1882, 32, 496, 32, 669, 657, 284, 665, 1015, 26, 784, 711, 291, 706, 280, 43744, 978, 32, 1357, 32, 1260, 291, 415, 330, 699, 25, 646, 328, 706, 44, 324, 3636, 43744, 978, 32, 39145, 26, 38, 34, 34, 30, 313, 9085, 952, 657, 291, 415, 330, 2895, 25, 646, 328, 706, 44, 324, 3636, 43744, 978, 32, 39145, 26, 38, 34, 34, 30, 313, 9085, 12572, 657, 291, 1688, 280, 5053, 699, 950, 706, 710, 699, 2188, 330, 8543, 950, 3177, 30, 330, 14794, 950, 3177, 111, 291, 415, 646, 630, 32, 8543, 32, 496, 81, 4658, 26, 605, 710, 699, 37886, 324, 630, 32, 8543, 32, 1297, 81, 496, 26, 605, 710, 699, 2188, 706, 710, 2895, 3490, 324, 1688, 710, 8543, 785, 280, 2933, 291, 415, 646, 630, 32, 14794, 32, 2040, 81, 14794, 26, 605, 710, 699, 37886, 324, 630, 32, 14794, 32, 1297, 81, 14794, 26, 605, 710, 699, 3490, 324, 1688, 710, 14794, 785, 280, 2933, 291, 442, 1688, 284, 477, 380, 10257, 978, 32, 4280, 32, 1260, 81, 541, 346, 284, 477, 380, 10257, 978, 32, 4280, 32, 2393, 346, 10065, 665, 622, 26, 784, 30, 952, 711, 291, 4826, 280, 43744, 978, 32, 1357, 32, 5078, 291, 415, 646, 630, 32, 14794, 32, 2040, 81, 14794, 26, 699, 711, 324, 3636, 43744, 978, 32, 39145, 26, 38, 34, 38, 30, 313, 1240, 1957, 646, 2307, 657, 291, 415, 952, 863, 43744, 978, 32, 1357, 32, 496, 710, 426, 12132, 324, 415, 646, 630, 32, 14794, 32, 2040, 81, 9198, 81, 1956, 26, 5078, 710, 74, 31, 2681, 31, 1763, 2188, 330, 2734, 99, 1882, 32, 496, 32, 371, 7831, 400, 3636, 43744, 978, 32, 39145, 26, 38, 34, 37, 30, 313, 3817, 4227, 657, 291, 4227, 280, 630, 32, 14794, 32, 371, 81, 11893, 26, 699, 27, 291, 442, 5053, 699, 950, 952, 30, 330, 11893, 950, 4227, 111, 284, 477, 380, 10257, 978, 32, 4280, 32, 1260, 81, 541, 346, 284, 477, 380, 10257, 978, 32, 4280, 32, 2393, 26, 9198, 347, 2734, 99, 1882, 32, 496, 32, 2560, 657, 284, 665, 3066, 26, 784, 30, 952, 711, 291, 1688, 280, 5053, 699, 950, 952, 30, 330, 8543, 950, 3177, 30, 330, 14794, 950, 3177, 111, 291, 415, 646, 630, 32, 8543, 32, 496, 81, 4658, 26, 699, 711, 324, 630, 32, 8543, 32, 2560, 81, 496, 26, 699, 27, 324, 1688, 710, 8543, 785, 280, 2933, 291, 415, 646, 630, 32, 14794, 32, 2040, 81, 14794, 26, 699, 711, 324, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 2, 2, 8, 8, 8, 7, 8, 6, 7, 7, 7, 6, 3, 3, 8, 8, 8, 7, 8, 6, 7, 7, 7, 6, 3, 3, 8, 8, 8, 7, 8, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 6, 5, 4, 4, 7, 7, 10, 9, 10, 8, 9, 5, 5, 6, 9, 9, 7, 7, 7, 6, 6, 6, 8, 11, 10, 11, 10, 11, 11, 11, 10, 10, 12, 12, 12, 5, 5, 6, 9, 9, 7, 7, 7, 6, 6, 6, 8, 11, 10, 11, 10, 11, 11, 11, 10, 10, 12, 12, 12, 5, 5, 7, 7, 11, 11, 9, 10, 12, 12, 8, 11, 11, 9, 8, 8, 11, 11, 9, 8, 5, 5, 6, 7, 10, 11, 9, 10, 10, 10, 9, 11, 10, 12, 12, 6, 6, 11, 12, 10, 11, 11, 11, 10, 12, 11, 13, 13, 10, 11, 13, 13, 7, 7, 10, 12, 12, 9, 9, 5, 5, 6, 7, 10, 11, 9, 10, 10, 10, 9, 11, 10, 12, 12, 6, 6, 11, 12, 10, 11, 11, 11, 10, 12, 11, 13, 13, 7, 7, 10, 12, 12, 9, 9, 5, 5, 6, 2, 2, 8, 8, 8, 7, 8, 6, 7, 7, 7, 6, 3, 3, 8, 8, 8, 7, 8, 6, 7, 6, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 7, 7, 10, 9, 10, 8, 9, 5, 5, 6, 7, 10, 11, 9, 10, 10, 10, 9, 10, 9, 6, 6, 8, 11, 10, 11, 10, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 5, 5, 6, 7, 7, 11, 10, 11, 9, 10, 8, 10, 10, 6, 6, 8, 9, 12, 13, 11, 12, 12, 12, 12, 12, 11, 13, 12, 14, 14, 14, 14, 14, 14, 11, 13, 13, 13, 13, 13, 13, 13, 13, 8, 8, 10, 13, 12, 13, 12, 13, 13, 13, 12, 12, 14, 14, 14, 5, 5, 7, 7, 10, 11, 9, 10, 10, 10, 9, 10, 9, 5, 5, 6, 10, 10, 8, 7, 7, 10, 10, 8, 7, 2, 2, 8, 8, 8, 7, 8, 6, 7, 7, 7, 6, 3, 3, 8, 8, 8, 7, 8, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 7, 7, 11, 11, 9, 8, 8, 11, 11, 9, 8, 8, 11, 11, 9, 8, 5, 5, 6, 7, 10, 11, 9, 10, 10, 10, 9, 10, 9, 6, 6, 11, 12, 10, 11, 11, 11, 10, 11, 10, 7, 7, 10, 12, 12, 9, 9, 5, 5, 6, 7, 10, 11, 9, 10, 10, 10, 9, 10, 9, 6, 6, 11 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 2, 4, 4, 4, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 3, 1, 2, 3, 3, 0, 1, 2, 0, 0, 4, 4, 5, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 5, 5, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 3, 3, 0, 1, 2, 0, 0, 4, 4, 6, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 2, 1, 1, 1, 1, 2, 3, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 2, 4, 4, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 1, 2, 0, 0, 4, 4, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0 ]
[ 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 1933, 1188, 1933, 203, 1070, 296, 4506, 3235, 978, 1188, 7109, 11580, 11813, 30, 36532, 30, 31615, 11813, 30, 36532, 11813, 30, 23310, 203, 1070, 296, 4506, 3235, 978, 1188, 707, 24088, 30, 25679, 203, 465, 296, 4506, 3235, 978, 32, 7354, 81, 47016, 619, 4142, 203, 465, 296, 4506, 3235, 978, 32, 8360, 25023, 4156, 619, 1983, 203, 1070, 3312, 32, 468, 33269, 1188, 6867, 81, 2321, 81, 1621, 30, 1875, 81, 983, 203, 1070, 3312, 32, 27244, 32, 4893, 81, 4543, 1188, 4995, 1345, 203, 8286, 280, 2933, 203, 27734, 2478, 16928, 280, 2726, 8385, 307, 31, 90, 359, 103, 370, 2607, 330, 3604, 2051, 31, 368, 581, 325, 370, 2607, 330, 6579, 31, 6168, 101, 370, 2607, 330, 98, 18324, 31, 2620, 370, 2607, 330, 380, 655, 370, 2607, 330, 40071, 35, 31, 741, 370, 2607, 330, 40071, 35, 31, 7830, 683, 203, 3364, 280, 225, 39, 87, 38, 203, 325, 37444, 44, 284, 34511, 81, 88, 81, 3768, 280, 2149, 284, 436, 636, 328, 358, 1263, 2478, 16928, 44, 291, 4726, 280, 7109, 11580, 11813, 32, 6656, 26, 39, 87, 39, 27, 291, 4726, 32, 2518, 81, 7354, 346, 291, 22153, 280, 36532, 26, 426, 27, 291, 5941, 280, 22153, 32, 266, 81, 3419, 26, 3235, 32, 2173, 3883, 32, 1691, 30, 4726, 32, 2173, 3883, 32, 6114, 30, 1378, 4726, 32, 2173, 3883, 32, 1843, 30, 4726, 32, 2173, 3883, 32, 6193, 27, 291, 328, 81, 43822, 81, 3419, 280, 2065, 32, 1036, 26, 3965, 27, 291, 14913, 81, 3419, 280, 2069, 26, 3965, 27, 291, 5951, 81, 14265, 280, 225, 38, 28, 2356, 32, 1295, 8088, 35, 42, 34, 33, 2356, 32, 1295, 9593, 36, 31509, 296, 81, 3768, 280, 308, 20495, 32, 13201, 81, 891, 33, 3768, 81, 14265, 20106, 9026, 81, 3419, 33, 266, 81, 43822, 81, 3419, 27, 291, 34511, 81, 88, 81, 3768, 77, 426, 79, 280, 296, 81, 3768, 291, 1459, 26, 88, 15907, 426, 111, 31256, 301, 88, 81, 3768, 28, 35, 34, 34, 16161, 432, 322, 26718, 683, 284, 34511, 81, 3235, 101, 280, 1605, 284, 436, 636, 328, 358, 1263, 2478, 16928, 44, 291, 22153, 280, 36532, 26, 426, 27, 291, 415, 636, 328, 2726, 8385, 307, 31, 90, 359, 103, 370, 330, 3604, 2051, 31, 368, 581, 325, 7831, 324, 22153, 32, 470, 81, 13201, 26, 1160, 47, 426, 27, 291, 4726, 280, 7109, 11580, 11813, 32, 42379, 26, 3364, 30, 4450, 47, 2700, 27, 291, 4726, 32, 470, 81, 7354, 26, 1160, 1057, 10586, 370, 3775, 1847, 81, 1691, 47, 20495, 32, 1691, 81, 887, 30, 3775, 1769, 81, 1691, 47, 20495, 32, 1691, 81, 1449, 30, 3775, 1847, 81, 6114, 47, 20495, 32, 6114, 81, 887, 30, 3775, 1769, 81, 6114, 47, 20495, 32, 6114, 81, 1449, 27, 291, 415, 636, 610, 330, 8385, 307, 31, 90, 359, 103, 950, 324, 4726, 32, 2518, 81, 1055, 346, 324, 4726, 32, 2518, 81, 2452, 346, 324, 4726, 32, 2518, 81, 1003, 346, 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, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 4, 4, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 4, 4, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 0, 3, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 6, 6, 9, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 11, 9, 10, 8, 8, 10, 11, 11, 9, 10, 8, 8, 8, 10, 11, 11, 9, 10, 8, 8, 10, 11, 11, 9, 10, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 7, 6, 6, 9, 8, 10, 9, 10, 7, 11, 11, 11, 10, 12, 11, 12, 9, 9, 4, 4, 7, 7, 6, 6, 11, 10, 11, 11, 11, 9, 10, 10, 10, 8, 10, 10, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 8, 8, 8, 8, 7, 8, 7, 6, 6, 7, 7, 4, 4, 7, 9, 9, 10, 9, 9, 9, 11, 11, 11, 10, 11, 11, 11, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 5, 5, 9, 10, 10, 10, 9, 11, 10, 11, 9, 4, 4, 6, 6, 9, 9, 8, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 7, 9, 8, 10, 10, 7, 7, 9, 9, 8, 10, 9, 10, 10, 10, 7, 7, 7, 9, 9, 8, 10, 9, 10, 10, 10, 7, 7, 7, 9, 9, 8, 10, 9, 10, 10, 10, 7, 7, 7, 9, 9, 8, 10, 9, 10, 10, 10, 7, 4, 4, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 9, 10, 10, 10, 9, 6, 6, 9, 10, 10, 10, 9, 6, 6, 9, 10, 10, 10, 9, 6 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 6, 6, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 7, 7, 1, 2, 2, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 4, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 2, 2, 2, 1, 5, 5, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 3, 2, 1, 1, 1, 0, 2, 2, 5, 2, 1, 1, 0, 2, 2, 7, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 5, 5, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 3, 4, 4, 4, 5, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 5, 5, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 7, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 9, 0, 2, 2, 2, 2, 1, 5, 5, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 3 ]
[ 465, 485, 1473, 30, 3619, 14259, 203, 978, 14259, 32, 1981, 440, 34, 32, 35, 34, 657, 203, 465, 39098, 203, 25670, 81, 8472, 280, 330, 35, 43, 36, 32, 35, 40, 42, 32, 37, 38, 32, 35, 39, 34, 25, 203, 4409, 81, 21050, 81, 44080, 280, 330, 5000, 32, 13033, 25, 203, 9247, 280, 39098, 32, 8386, 463, 1786, 683, 203, 13033, 280, 2156, 26, 4409, 81, 21050, 81, 44080, 547, 850, 922, 3227, 40348, 370, 9142, 203, 27922, 1771, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 463, 89, 466, 491, 1771, 370, 330, 27922, 1771, 683, 203, 27922, 1771, 32, 470, 81, 2433, 463, 30036, 370, 225, 38, 34, 34, 27, 203, 836, 1069, 899, 81, 27922, 266, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 463, 836, 1069, 899, 370, 330, 836, 1069, 899, 34, 683, 203, 836, 1069, 899, 81, 27922, 266, 32, 470, 81, 2433, 463, 625, 370, 225, 35, 34, 34, 34, 34, 27, 203, 836, 1069, 899, 81, 13033, 280, 39098, 32, 13033, 81, 1070, 81, 800, 26, 13033, 27, 203, 836, 1069, 899, 81, 27922, 266, 32, 470, 81, 2433, 463, 13033, 370, 14403, 1069, 899, 81, 13033, 27, 203, 836, 1069, 899, 81, 2051, 2219, 266, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 463, 836, 1069, 899, 370, 330, 836, 1069, 899, 35, 683, 203, 836, 1069, 899, 81, 2051, 2219, 266, 32, 470, 81, 2433, 463, 625, 370, 225, 35, 34, 34, 34, 35, 27, 203, 836, 1069, 764, 81, 2051, 2219, 541, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 463, 836, 1069, 764, 370, 330, 836, 1069, 764, 34, 683, 203, 836, 1069, 764, 81, 2051, 2219, 541, 32, 470, 81, 2433, 463, 2035, 370, 3042, 21836, 81, 8472, 27, 203, 836, 1069, 764, 81, 2051, 2219, 541, 32, 470, 81, 2433, 463, 625, 370, 225, 35, 34, 34, 34, 36, 27, 203, 27922, 90, 36, 40, 38, 286, 7007, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 463, 27922, 90, 36, 40, 38, 286, 7007, 370, 330, 27922, 286, 7007, 683, 203, 99, 35, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 440, 3926, 392, 313, 99, 35, 657, 203, 99, 36, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 440, 3926, 392, 313, 99, 36, 657, 203, 453, 449, 1662, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 463, 453, 449, 1662, 370, 330, 453, 449, 1662, 683, 203, 2536, 764, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 463, 2536, 764, 370, 330, 2536, 764, 683, 203, 2536, 764, 32, 470, 81, 2433, 463, 2645, 370, 3056, 2868, 33, 1704, 32, 25389, 683, 203, 34629, 1729, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 440, 34629, 1489, 1166, 392, 313, 34629, 1729, 657, 203, 486, 6114, 36, 40, 38, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 463, 486, 6114, 81, 90, 36, 40, 38, 370, 330, 486, 6114, 36, 40, 38, 683, 203, 2837, 11966, 764, 280, 39098, 32, 2543, 81, 5792, 81, 2682, 463, 2837, 11966, 764, 683, 203, 9247, 32, 669 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 0, 4, 4, 3, 4, 3, 5, 5, 5, 5, 5, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 6, 6, 0, 3, 2, 2, 8, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 6, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 0, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 0, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 4, 4, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 5, 4, 0, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 4, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 0, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 4, 4, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 0, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 3, 0, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 4, 4, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 4, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 4, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 4, 6, 6, 6, 0, 4, 4, 3, 4, 4, 4, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 0, 4, 3, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2 ]
[ 465, 5741, 203, 465, 29252, 331, 2323, 36, 203, 1070, 29252, 331, 2323, 36, 1188, 11581, 203, 1070, 1692, 730, 32, 48040, 1188, 554, 757, 29391, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 1930, 81, 39238, 331, 2323, 81, 6555, 2262, 284, 415, 646, 19326, 26, 9081, 30, 330, 470, 81, 1684, 81, 4383, 7831, 291, 3636, 29986, 26, 324, 313, 3592, 436, 6674, 23393, 646, 3304, 328, 458, 447, 5815, 331, 2323, 1503, 10027, 101, 4731, 324, 904, 29252, 331, 2323, 36, 3667, 1648, 8223, 284, 11581, 32, 470, 81, 1684, 81, 4383, 26, 1567, 730, 81, 1684, 81, 4383, 27, 203, 589, 1692, 730, 81, 1684, 81, 4383, 26, 3781, 30, 5868, 6593, 35, 711, 284, 2218, 225, 35, 44, 291, 1603, 280, 4567, 32, 11986, 346, 291, 415, 1603, 610, 11581, 32, 45077, 81, 2950, 44, 324, 1626, 291, 4348, 1603, 610, 11581, 32, 45077, 81, 4409, 44, 324, 554, 757, 29391, 26, 3781, 32, 5039, 7888, 1026, 1491, 47, 1815, 27, 291, 4348, 1603, 610, 11581, 32, 45077, 81, 3214, 44, 324, 554, 757, 29391, 26, 3781, 32, 5039, 7888, 1026, 2866, 47, 1815, 27, 291, 813, 44, 324, 3636, 29252, 331, 2323, 36, 32, 3774, 279, 924, 26, 400, 313, 8418, 1056, 645, 17850, 44, 904, 100, 20, 904, 1603, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 5, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 9, 10, 10, 2, 2, 5, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 5, 2, 1, 1, 3, 4, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 5, 5, 6, 7, 7, 8, 9, 9, 9, 6, 6, 6, 10, 10, 10, 13, 12, 13, 13, 12, 10, 11, 12, 10, 5, 5, 6, 7, 7, 8, 9, 9, 9, 6, 6, 6, 10, 10, 10, 13, 12, 13, 13, 12, 10, 11, 12, 10, 5, 5, 6, 6, 6, 8, 11, 11, 11, 10, 11, 11, 11, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 2, 6, 6, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 1, 1, 2, 2, 2, 2, 4, 4, 4, 0, 0, 1, 0, 0, 2, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 2, 2, 2, 2, 5, 5, 5, 0, 0, 1, 0, 0, 2, 2, 1, 1, 3, 2, 1, 1, 1, 6, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 24285, 4019, 8810, 280, 225, 35, 203, 14008, 8455, 17326, 280, 225, 36, 203, 1781, 613, 722, 23128, 6578, 280, 225, 37, 203, 2338, 72, 2893, 280, 225, 38, 203, 3459, 63, 3324, 280, 225, 39, 203, 39861, 24010, 14436, 28137, 280, 225, 40, 203, 1197, 521, 6177, 280, 225, 41, 203, 24819, 22770, 13946, 280, 225, 42, 203, 3687, 8915, 8303, 3480, 280, 225, 43, 203, 11838, 56, 613, 6142, 40226, 280, 225, 35, 34, 203, 63, 3324, 18294, 280, 225, 35, 35, 203, 5995, 61, 21512, 280, 225, 35, 36, 203, 4766, 64, 4773, 280, 225, 35, 37, 203, 39861, 24010, 1102, 2231, 23411, 280, 225, 35, 38, 203, 927, 13148, 5891, 76, 527, 280, 225, 35, 39, 203, 2141, 5891, 280, 225, 35, 40, 203, 72, 3900, 18652, 74, 280, 225, 35, 41, 203, 10200, 10875, 280, 225, 35, 42, 203, 52, 4657, 9900, 69, 280, 225, 35, 43, 203, 1164, 927, 65, 21512, 280, 225, 36, 34, 203, 726, 3057, 1319, 51, 280, 225, 36, 35, 203, 22286, 29039, 1752, 3057, 613, 280, 225, 36, 36, 203, 62, 1434, 722, 2045, 280, 225, 36, 37, 203, 56, 1392, 527, 2978, 5451, 81, 29396, 280, 5053, 26, 10122, 110, 3210, 110, 6174, 661, 110, 13606, 5421, 32, 5466, 85, 919, 32, 508, 950, 15985, 2001, 4019, 8810, 30, 656, 330, 19925, 31, 2255, 8169, 508, 33, 365, 8169, 754, 950, 1236, 25590, 17326, 30, 656, 330, 11788, 31, 2559, 1965, 8169, 1299, 950, 5596, 613, 722, 23128, 6578, 30, 656, 330, 317, 4636, 586, 8169, 732, 96, 586, 8169, 508, 950, 4393, 72, 2893, 30, 656, 15584, 86, 36, 13410, 16491, 41, 23098, 38, 4342, 1919, 32, 23999, 32, 1299, 110, 1449, 24018, 32, 508, 547, 28, 2929, 32, 754, 950, 7482, 63, 3324, 30, 656, 330, 12445, 31, 3483, 8169, 1299, 33, 19124, 33, 4426, 8169, 754, 950, 1737, 726, 24010, 14436, 28137, 30, 656, 330, 2003, 77, 34, 31, 43, 79, 8169, 12445, 31, 3483, 8169, 1299, 33, 37015, 950, 1737, 726, 24010, 14436, 28137, 30, 656, 330, 1840, 31, 83, 417, 1998, 32, 1299, 33, 12095, 33, 1536, 33, 2536, 33, 4426, 33, 4426, 8169, 754, 950, 1737, 726, 24010, 14436, 28137, 30, 656, 15584, 8540, 1439, 32, 508, 110, 86, 36, 97, 41, 92, 43, 36, 12530, 42, 99, 4441, 105, 32, 23999, 32, 1299, 4165, 3512, 33, 3164, 11466, 77, 34, 31, 43, 83, 31, 108, 8274, 37, 36, 4104, 32, 754, 950, 3366, 521, 6177, 30, 656, 330, 101, 2882, 2323, 47, 101, 2882, 7162, 950, 358, 2345, 22770, 13946, 30, 656, 330, 3963, 8169, 2590, 31, 14460, 31, 4280, 8169, 508, 33, 72, 78, 86, 29, 858, 33, 2142, 104, 77, 34, 31, 43, 6155, 32, 3174, 887, 8169, 754, 25, 499, 13591, 8915, 8303, 3480, 30, 656, 330, 48152, 78, 86, 33, 1356, 33, 97, 31, 48152, 1262, 8169, 754, 950, 20159, 56, 613, 6142, 40226, 30, 225, 656, 330, 754, 1356, 33, 98, 842, 31110, 332, 8169, 754, 950, 488, 3324, 18294, 30, 656, 330, 89, 1772, 2939, 8169, 508 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 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, 15, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 17, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 19, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 21, 21, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 23, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 25, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 465, 6436, 619, 2065, 203, 465, 12961, 1299, 619, 309, 566, 203, 465, 14785, 619, 5239, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 8745, 32, 605, 81, 2304, 81, 3773, 5690, 1188, 9804, 81, 3695, 30, 7596, 81, 16679, 30, 6122, 81, 605, 30, 1930, 81, 4432, 81, 5162, 30, 1930, 81, 33607, 1741, 81, 4432, 81, 5162, 30, 11410, 81, 4873, 30, 2454, 81, 605, 81, 979, 81, 5136, 203, 1070, 8745, 32, 1959, 81, 2304, 1188, 43191, 36, 30, 7596, 81, 5664, 81, 8018, 203, 1070, 8745, 32, 3399, 1054, 81, 2304, 1188, 6867, 81, 934, 2939, 30, 2519, 81, 12089, 203, 1070, 7138, 1188, 7138, 203, 325, 5239, 3667, 1648, 505, 610, 330, 35, 32, 35, 32, 34, 31, 899, 35, 25, 556, 5239, 3667, 1648, 505, 610, 330, 35, 32, 36, 32, 34, 950, 284, 645, 14785, 32, 2958, 32, 2846, 1188, 13714, 284, 477, 4156, 32, 4329, 15316, 440, 21162, 2573, 657, 284, 665, 617, 1803, 81, 4943, 26, 520, 30, 8056, 711, 291, 816, 30, 533, 280, 3089, 32, 8075, 291, 39097, 280, 8056, 291, 816, 81, 4943, 280, 39097, 291, 533, 81, 4943, 280, 1665, 16189, 442, 816, 81, 4943, 30, 533, 81, 4943, 203, 823, 475, 12249, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 3219, 81, 1793, 81, 1508, 81, 1293, 30, 7350, 81, 431, 418, 30, 793, 81, 510, 33661, 30, 27858, 81, 11368, 30, 534, 33661, 81, 10504, 81, 11368, 30, 1847, 81, 12133, 81, 38447, 30, 7350, 81, 35466, 81, 95, 274, 711, 291, 630, 32, 1664, 81, 1793, 81, 1508, 81, 1293, 280, 3219, 81, 1793, 81, 1508, 81, 1293, 291, 630, 32, 7741, 81, 431, 418, 280, 7350, 81, 431, 418, 291, 630, 32, 539, 81, 510, 33661, 280, 793, 81, 510, 33661, 461, 646, 3219, 81, 1793, 81, 1508, 81, 1293, 16189, 630, 32, 510, 3605, 81, 11368, 280, 27858, 81, 11368, 415, 646, 630, 32, 1664, 81, 1793, 81, 1508, 81, 1293, 813, 225, 34, 32, 34, 291, 630, 32, 1293, 81, 3534, 280, 225, 39, 291, 630, 32, 1141, 81, 3534, 280, 225, 37, 291, 630, 32, 28440, 81, 3534, 280, 225, 40, 291, 630, 32, 47294, 280, 5053, 97, 950, 5239, 32, 10335, 463, 1808, 37, 36, 370, 428, 2521, 30, 1665, 30, 225, 39, 34, 30, 225, 35, 39, 34, 30, 630, 32, 28440, 81, 3534, 614, 330, 43476, 1425, 6035, 330, 83, 950, 5239, 32, 10335, 463, 1808, 37, 36, 370, 428, 2521, 30, 1665, 30, 225, 37, 614, 330, 3543, 1425, 6035, 330, 101, 950, 5239, 32, 10335, 463, 1808, 37, 36, 370, 428, 2521, 30, 1665, 30, 225, 39, 614, 330, 10615, 1425, 6035, 330, 1516, 81, 26648, 950, 5239, 32, 10335, 463, 1808, 37, 36, 1425, 6035, 330, 10504, 81, 7151, 950, 5239, 32, 10335, 81, 1793, 81, 1536, 26, 4213, 32, 8662, 26, 35, 32, 34, 471, 38178, 6035, 330, 297, 81, 10705, 950, 5239, 32, 10335, 81, 1793, 81, 1536, 26, 4213, 32, 8662, 26, 2700, 471, 11544, 6035, 320, 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, 0, 1, 1, 2, 2, 0, 1, 1, 4, 2, 2, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 1, 1, 3, 4, 5, 4, 5, 3, 3, 2, 2, 7, 6, 7, 7, 6, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 8, 7, 7, 8, 9, 5, 5, 7, 7, 5, 5, 8, 8, 7, 7, 5, 5, 8, 8, 7, 7, 5, 5, 6, 8, 8, 7, 7, 8, 8, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 8, 7, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 10, 10, 8, 10, 11, 10, 12, 12, 12, 12, 10, 12, 11, 11, 11, 11, 12, 12, 11, 11, 12, 12, 12, 11, 11, 12, 13, 13, 13, 11, 10, 12, 12, 7, 7, 10, 10, 8, 10, 11, 10, 12, 12, 12, 12, 10, 12, 11, 11, 11, 11, 12, 11, 10, 12, 12, 7, 7, 10, 10, 8, 10, 11, 10, 12, 12, 12, 12, 10, 12, 11, 11, 11, 11, 12, 11, 10, 12, 12, 7, 7, 10, 10, 10, 10, 8, 10, 11, 10, 12, 12, 12, 12, 7, 7, 10, 10, 10, 10, 8, 10, 11, 11, 11, 11, 11, 10, 13, 12, 13, 12, 13, 13, 13, 12, 10, 7, 7, 10, 10, 10, 10, 8, 10, 11, 11, 11, 11, 11, 10, 13, 12, 13, 12, 13, 12, 10, 7, 7, 4, 4 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 2, 1, 1, 0, 5, 5, 1, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 1, 2, 2, 2, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 2, 2, 2, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 8, 8, 8, 8, 0, 9, 9, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 9, 9, 0, 1, 2, 1, 4, 0, 0, 3, 3, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 1, 1, 2, 2, 0, 10, 10, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 2, 2, 7, 7, 7, 2, 2, 9, 9, 2, 2, 11, 11, 11, 11, 11, 2, 2, 13, 13, 13, 13, 2, 2, 15, 15, 15, 15, 15, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 5, 5, 3, 3, 7, 7, 7, 3, 3, 9, 2, 2, 2, 3, 1, 1, 2, 2, 2, 1, 2, 3, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 5, 3, 1, 1, 2, 2, 2, 1, 2, 5, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 5, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 11, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 4, 4 ]
[ 2250, 280, 330, 51, 34600, 565, 25, 203, 11794, 280, 330, 36, 34, 36, 34, 30, 37708, 677, 339, 1495, 30, 394, 9882, 271, 46942, 19280, 461, 39042, 8026, 2734, 25, 203, 2116, 280, 330, 48394, 677, 339, 1495, 30, 394, 9882, 271, 46942, 19280, 461, 39042, 8026, 2734, 25, 203, 9081, 280, 428, 284, 330, 268, 2282, 1826, 370, 284, 330, 26275, 32, 407, 32, 1146, 26275, 370, 284, 330, 26275, 81, 8523, 81, 11278, 370, 284, 330, 26275, 626, 32, 407, 370, 284, 330, 26275, 32, 407, 32, 4846, 431, 542, 25, 203, 79, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 10444, 81, 15719, 280, 2107, 81, 1832, 370, 330, 13584, 101, 32, 1199, 370, 5608, 4135, 81, 2780, 370, 330, 10229, 32, 954, 370, 284, 330, 96, 846, 11118, 370, 284, 330, 31104, 370, 203, 79, 203, 916, 81, 4661, 280, 330, 1978, 466, 504, 31, 26275, 31, 4661, 25, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 81, 4661, 81, 2184, 280, 301, 284, 330, 5370, 81, 2585, 950, 3177, 30, 3701, 330, 8631, 81, 9131, 950, 3177, 30, 3701, 330, 23179, 81, 2585, 950, 2933, 30, 225, 203, 111, 203, 1146, 26275, 81, 9387, 280, 301, 284, 330, 2180, 32, 1978, 466, 504, 32, 1088, 950, 2726, 641, 555, 2180, 32, 1978, 466, 504, 32, 1088, 33, 272, 33, 5323, 13093, 1665, 471, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 3, 3, 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, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 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, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 371, 81, 43319, 922, 2946, 26, 103, 20, 9060, 2443, 429, 71, 36493, 30122, 38, 594, 17321, 36, 330, 9698, 46, 36, 32, 42, 25, 5167, 31, 2613, 1503, 31, 11722, 588, 273, 16826, 107, 657, 203, 465, 14208, 38, 203, 465, 594, 17321, 36, 203, 465, 5167, 203, 465, 5167, 81, 2613, 203, 9698, 81, 2613, 32, 3789, 81, 2613, 463, 978, 3264, 31827, 81, 2613, 683, 203, 371, 81, 43319, 922, 15260, 26, 103, 25, 944, 81, 407, 1503, 81, 11722, 683, 203, 371, 81, 43319, 922, 15260, 26, 103, 4763, 100, 798, 81, 11722, 15903, 30, 14208, 38, 30, 594, 17321, 36, 30, 5167, 30, 5167, 81, 2613, 30, 1503, 81, 11722, 683, 203, 965, 280, 313, 525, 555, 1499, 32, 3264, 31827, 32, 1088, 5681, 203, 2403, 280, 5167, 32, 371, 26, 965, 27, 203, 325, 646, 3616, 32, 1253, 44, 284, 3636, 3268, 26, 2403, 27, 203, 1286, 280, 3616, 32, 1286, 203, 1216, 26, 1286, 2867, 36, 34, 1130, 203, 3883, 280, 14208, 38, 32, 1467, 19959, 32101, 26, 2403, 32, 1286, 27, 203, 1216, 26, 3883, 32, 26229, 1147, 1157, 203, 21678, 280, 14208, 32, 1809, 81, 464, 26, 823, 81, 1057, 15848, 31, 8336, 31, 5098, 683, 203, 593, 26, 21678, 27, 203, 8336, 280, 22348, 77, 34, 79, 203, 1216, 26, 8336, 27, 203, 1204, 280, 9617, 32, 1809, 3353, 463, 83, 683, 203, 1275, 280, 2552, 32, 1809, 3353, 463, 1275, 683, 203, 1275, 81, 1311, 280, 4791, 710, 3825, 785, 20129, 39, 79, 203, 1275, 81, 1617, 280, 4791, 710, 1617, 785, 203, 1204, 81, 6928, 280, 2552, 710, 6928, 785, 203, 2763, 280, 5053, 426, 950, 4791, 81, 1311, 30, 330, 1275, 81, 1617, 950, 4791, 81, 1617, 30, 330, 6928, 950, 2552, 81, 6928, 111, 203, 1216, 26, 2763, 27, 203, 465, 13625, 203, 589, 622, 81, 605, 81, 1070, 81, 15848, 81, 8336, 81, 5098, 81, 507, 26, 1251, 30, 310, 47, 2521, 711, 284, 2552, 280, 1541, 32, 1809, 3353, 463, 83, 683, 284, 4791, 280, 2552, 32, 1809, 3353, 463, 1275, 683, 284, 4791, 81, 1311, 280, 4791, 710, 3825, 785, 20129, 39, 79, 284, 4791, 81, 1617, 280, 4791, 710, 1617, 785, 284, 2552, 81, 6928, 280, 2552, 710, 6928, 785, 284, 1688, 280, 13625, 32, 20663, 7167, 14178, 50, 681, 950, 330, 311, 44, 4455, 17357, 18143, 284, 415, 310, 44, 291, 1688, 710, 96, 785, 280, 310, 284, 1688, 710, 426, 785, 280, 4791, 81, 1311, 284, 1688, 710, 893, 785, 280, 4791, 81, 1617, 284, 1688, 710, 965, 785, 280, 2552, 81, 6928, 284, 442, 1688, 203, 589, 622, 81, 15848, 81, 8336, 81, 605, 26, 3883, 711, 284, 436, 595, 30, 9617, 328, 10703, 26, 3883, 32, 1809, 81, 464, 26, 823, 81, 1057, 15848, 31, 8336, 31, 5098, 1425, 225, 35, 711, 291, 6761, 622, 81, 605, 81, 1070, 81, 15848, 81, 8336, 81, 5098, 81, 507, 26, 8336, 30, 310, 47, 91, 27, 225, 203, 21678, 280, 1149, 26, 371, 81, 15848, 81, 8336, 81, 605, 26, 3883, 490 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 5, 5, 5, 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, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 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, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 5, 4, 0, 1, 1, 2, 3, 4, 1, 1, 1, 3, 5, 6, 5, 0, 3, 2, 2, 3, 4, 0, 3, 3, 5, 4, 6, 6, 4, 0, 3, 2, 2, 5, 4, 5, 5, 5, 4, 6, 5, 6, 4, 0, 3, 3, 6, 5, 6, 6, 5, 0, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 5, 7, 7, 7, 7, 7, 7, 0, 3, 3, 4, 3, 0, 3, 2, 2, 3, 4, 3, 0, 3, 3, 4, 3, 0, 3, 2, 2, 4, 5, 5, 4, 6, 6, 0, 3, 2, 2, 4, 5, 5, 4, 6, 6, 0, 3, 3, 3, 2, 2, 4, 6, 6, 3, 6, 3, 0, 3, 3, 3, 2, 2, 3, 5, 5, 0, 3, 3, 3, 2, 2, 3, 5, 5, 0, 3, 2, 2, 6, 6, 4, 5, 5, 3, 3, 6, 6, 6, 6, 4, 5, 5, 3, 3, 6, 6, 4, 5, 5, 3, 0, 3, 3, 4, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 8, 2, 2, 4, 4, 6, 7, 7, 6, 8, 8, 2, 2, 5, 5, 4, 4, 6, 8, 8, 5, 8, 5, 2, 2, 5, 5, 4, 4, 5, 7, 7, 2, 2, 5, 5, 4, 4, 5, 7, 7, 2, 2, 4, 4, 6, 7, 7, 6, 10, 10, 10, 8, 10, 10, 10, 10, 10, 2, 2, 3, 3, 3, 3, 7, 9, 9, 6, 6, 2, 2, 5, 7, 7, 4, 4, 5, 5, 2, 2, 5, 7, 7, 4, 4, 5, 5, 2, 2, 5, 7, 7, 4, 4, 5, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 5, 8, 7, 8, 8, 8, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 5, 6, 5, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 9, 10, 8, 0, 0, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6 ]
[ 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 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, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 10, 10, 1, 1, 2, 10, 10, 10, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 0, 0, 1, 1, 1, 0, 26, 26, 0, 27, 27, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 27, 27, 0, 0, 0, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 6, 6, 6, 6, 0, 1, 2, 0, 0, 4, 4, 0, 1, 2, 0, 0, 2, 2, 4, 4, 0, 1, 2, 0, 0, 2, 2, 4, 4, 0, 1, 2, 0, 0, 2, 2, 4, 4, 10, 0, 28, 28, 1, 1, 1, 1, 1, 1, 2, 1, 2, 28, 28, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ]
[ 465, 2322, 203, 465, 29947, 203, 22453, 81, 7604, 17475, 280, 428, 284, 330, 2104, 81, 13201, 77, 32597, 16249, 284, 330, 2175, 31, 1237, 31, 2958, 31, 1580, 370, 284, 330, 2175, 31, 3209, 31, 4219, 370, 284, 330, 25931, 379, 35, 32, 35, 34, 32, 34, 370, 203, 79, 203, 5043, 280, 2107, 2282, 370, 330, 86, 1915, 370, 330, 17258, 798, 364, 785, 203, 1320, 81, 1515, 280, 301, 98, 44, 298, 436, 298, 328, 7599, 111, 203, 6569, 81, 26256, 81, 983, 280, 330, 26256, 31, 1771, 33, 6569, 33, 1945, 81, 9247, 32, 1945, 2536, 22895, 1831, 17080, 6569, 25, 203, 325, 2322, 32, 983, 32, 4658, 26, 6569, 81, 26256, 81, 983, 711, 334, 7599, 32, 1689, 463, 6569, 683, 334, 2652, 81, 1515, 710, 6569, 785, 280, 9967, 81, 26256, 81, 983, 203, 43764, 32, 5522, 26, 284, 636, 1057, 9855, 12715, 81, 286, 314, 370, 284, 1503, 1057, 34, 32, 34, 32, 35, 370, 284, 2652, 81, 1515, 47, 1320, 81, 1515, 30, 284, 3048, 1057, 10033, 12715, 1513, 314, 8565, 2652, 6418, 284, 2443, 81, 13966, 47, 22453, 81, 7604, 17475, 30, 284, 7599, 47, 5043, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 3, 3, 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, 5, 5, 3, 3, 0, 3, 2, 2, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 4, 4, 3, 4, 4, 4, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 4, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 1, 1, 5, 6, 5, 7, 7, 2, 2, 6, 6, 5, 7, 7, 4, 4, 5, 5, 5, 5, 0, 4, 3, 4, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 5, 5, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 5, 5, 5, 5, 3, 3, 3, 4, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 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, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 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, 2, 0, 6, 6, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 6, 6, 0, 2, 1, 1, 2, 3, 3, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 9, 2, 2, 2, 2, 1, 1, 1, 11, 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 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 10245, 1188, 23501, 203, 465, 8527, 32, 1262, 32, 24894, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 465, 8527, 32, 1199, 32, 3378, 32, 30550, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 30598, 280, 41449, 89, 14920, 101, 370, 330, 34, 34, 34, 43, 81, 2837, 81, 36, 34, 35, 41, 34, 41, 35, 35, 81, 35, 40, 34, 34, 1425, 2726, 89, 14920, 101, 370, 330, 34, 34, 35, 34, 81, 2837, 81, 36, 34, 35, 41, 34, 41, 35, 37, 81, 34, 43, 35, 41, 12357, 284, 6440, 280, 428, 291, 2726, 89, 14920, 101, 370, 330, 34, 34, 34, 42, 81, 2837, 81, 36, 34, 35, 41, 34, 41, 34, 41, 81, 35, 35, 39, 42, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 4913, 1176, 26, 324, 1542, 81, 426, 1057, 6891, 19448, 370, 324, 636, 1057, 4524, 370, 291, 2588, 291, 12522, 32, 4913, 1176, 26, 324, 1542, 81, 426, 1057, 6891, 19448, 370, 324, 636, 1057, 10454, 370, 291, 2588, 291, 12522, 32, 4913, 1176, 26, 324, 1542, 81, 426, 1057, 48799, 83, 5632, 370, 324, 636, 1057, 4524, 370, 291, 2588, 291, 12522, 32, 4913, 1176, 26, 324, 1542, 81, 426, 1057, 48799, 83, 5632, 370, 324, 636, 1057, 10454, 370, 291, 2588, 291, 12522, 32, 4913, 1176, 26, 324, 1542, 81, 426, 1057, 14920, 370, 324, 636, 1057, 4524, 370, 291, 2588, 291, 12522, 32, 4913, 1176, 26, 324, 1542, 81, 426, 1057, 14920, 370, 324, 636, 1057, 10454, 370, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 6891, 19448, 370, 324, 636, 1057, 6036, 81, 4524, 370, 324, 1600, 47, 3378, 32, 36172, 26, 5006, 47, 1815, 30, 744, 47, 1815, 471, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 6891, 19448, 370, 324, 636, 1057, 6036, 81, 6368, 370, 324, 1600, 47, 3378, 32, 36172, 26, 5006, 47, 1815, 30, 744, 47, 1815, 471, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 6891, 19448, 370, 324, 636, 1057, 19483, 81, 4524, 370, 324, 1600, 47, 3378, 32, 16357, 26, 1536, 26409, 1769, 81, 1322, 47, 37, 34, 471, 324, 24070, 81, 1536, 47, 2700, 30, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 6891, 19448, 370, 324, 636, 1057, 19483, 81, 6368, 370, 324, 1600, 47, 3378, 32, 16357, 26, 1536, 26409, 1769, 81, 1322, 47, 37, 34, 471, 324, 24070, 81, 1536, 47, 2700, 30, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 3011, 22262, 5010, 370, 324, 636, 1057, 6036, 81, 4524, 370, 324, 1600, 47, 3378, 32, 36172, 26, 5006, 47, 1815, 30, 744, 47, 1815, 471, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 3011, 22262, 5010, 370, 324, 636, 1057, 6036, 81, 6368, 370, 324, 1600, 47, 3378, 32, 36172, 26, 5006, 47, 1815, 30, 744, 47, 1815, 471, 291, 2588, 291, 12522, 32, 38137, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 7, 7, 8, 10, 10, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 7, 7, 8, 10, 10, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 7, 7, 5, 5, 7, 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, 12, 10, 10, 11, 12, 10, 7, 7, 5, 5, 7, 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, 12, 10, 10, 11, 12, 10, 7, 7, 5, 5, 7, 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, 10, 12, 12, 11, 12, 12, 10, 7, 7, 9, 9, 8, 9, 7, 7, 7, 5, 5, 7, 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, 10, 12, 12, 11, 12, 12, 10, 7, 7, 9, 9, 8, 9, 7, 7, 7, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 7, 7, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 7, 7, 5, 5, 7, 8, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 0, 5, 5, 2, 0, 1, 2, 2, 5, 5, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 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, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 2, 2, 0, 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, 2, 1, 1, 3, 2, 1, 1, 1, 2, 2, 0, 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, 2, 1, 1, 3, 2, 1, 1, 1, 2, 2, 0, 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, 0, 0, 3, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 2, 2, 0, 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, 0, 0, 3, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 2, 0, 2, 1 ]
[ 1070, 35094, 1188, 7360, 203, 1070, 28312, 1188, 22066, 30, 34031, 30, 10701, 2852, 203, 1070, 1288, 604, 32, 8820, 1188, 4269, 1356, 203, 1070, 1288, 604, 32, 8820, 32, 2304, 1188, 1288, 7490, 203, 4073, 280, 1288, 7490, 32, 10579, 4064, 426, 8223, 203, 823, 5718, 1711, 1761, 26, 30609, 32, 67, 959, 711, 284, 16791, 280, 10701, 2852, 32, 10760, 26, 466, 27, 284, 16791, 10816, 280, 10701, 2852, 32, 10760, 26, 466, 27, 284, 665, 1156, 1664, 3207, 784, 30, 2016, 711, 291, 2599, 26, 2019, 1711, 1761, 30, 630, 14585, 1664, 16369, 291, 630, 32, 2501, 280, 2016, 291, 630, 32, 1094, 280, 1665, 284, 665, 1487, 26, 784, 30, 2935, 47, 2521, 711, 291, 3097, 203, 823, 25915, 26, 2019, 1711, 1761, 711, 284, 665, 1487, 26, 784, 30, 2935, 47, 2521, 30, 2470, 1705, 47, 2700, 711, 291, 645, 1631, 83, 1188, 33382, 291, 7890, 750, 280, 630, 32, 2501, 32, 1707, 750, 291, 630, 32, 1094, 280, 33382, 32, 36214, 26, 1172, 47, 1707, 750, 1365, 1172, 3439, 13764, 3713, 47, 1707, 750, 32, 371, 440, 8570, 392, 3177, 471, 2935, 47, 2544, 30, 6619, 31322, 1191, 47, 1707, 750, 32, 371, 440, 20341, 1191, 392, 3177, 471, 2016, 47, 784, 32, 7911, 2019, 30, 6619, 2470, 1705, 47, 1762, 1705, 27, 291, 415, 2470, 1705, 44, 324, 33382, 32, 36214, 26, 2544, 47, 2544, 30, 2470, 1705, 47, 1762, 1705, 30, 2016, 47, 784, 32, 7911, 2019, 10816, 27, 291, 442, 630, 32, 1094, 284, 665, 9533, 2019, 26, 784, 30, 319, 1132, 711, 291, 630, 32, 34326, 32, 7911, 26, 784, 32, 2501, 32, 314, 27, 284, 665, 9533, 2019, 10816, 26, 784, 30, 319, 1132, 711, 291, 630, 32, 34326, 10816, 32, 7911, 26, 784, 32, 2501, 32, 314, 27, 203, 823, 5718, 1711, 26, 2019, 1711, 1761, 711, 284, 665, 1487, 26, 784, 30, 2935, 47, 2521, 711, 291, 7890, 750, 280, 630, 32, 2501, 32, 1707, 750, 291, 630, 32, 1094, 280, 22066, 32, 40079, 1711, 26, 2544, 27, 291, 1344, 280, 7890, 750, 32, 371, 440, 1172, 392, 313, 64, 1752, 1319, 2146, 657, 291, 2125, 2168, 280, 22066, 32, 2150, 814, 26, 878, 27, 291, 630, 32, 1094, 32, 27380, 3763, 26, 1141, 2168, 27, 291, 1963, 280, 7890, 750, 32, 371, 440, 1489, 392, 7746, 291, 1751, 1514, 280, 7890, 750, 32, 371, 440, 21941, 392, 7746, 291, 415, 1963, 556, 1751, 1514, 44, 324, 2125, 2168, 32, 24833, 8337, 26, 400, 313, 2150, 814, 301, 4155, 31, 1489, 44, 904, 101, 45, 1963, 44, 904, 101, 45, 3845, 904, 308, 975, 1514, 30, 38698, 1963, 490, 291, 4269, 280, 7890, 750, 32, 371, 440, 1566, 657, 291, 415, 4269, 44, 324, 415, 6937, 26, 1566, 30, 34031, 32, 67, 2913, 711, 400, 630, 32, 1094, 32, 30612, 26, 1566, 27, 324, 813, 44, 400, 4269, 280, 4269, 1356, 32, 1566, 26, 1566, 27, 400, 415, 646, 4269, 32, 17348, 2262, 528, 630, 32, 1094, 32, 30612, 26, 1566, 27, 291, 630, 32, 1094, 32, 26893, 6241 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 2, 2, 5, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 7, 6, 7, 6, 7, 6, 2, 2, 5, 4, 4, 7, 6, 7, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 3, 3, 5, 7, 5, 5, 4, 4, 7, 6, 6, 8, 9, 7, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 9, 11, 11, 10, 12, 12, 8, 10, 9, 12, 12, 11, 12, 11, 13, 13, 11, 11, 8, 9, 10, 8, 8, 8, 10, 9, 12, 12, 11, 12, 11, 13, 13, 13, 11, 11, 8, 9, 11, 10, 11, 11, 8, 8, 8, 10, 9, 10, 10, 8, 4, 4, 5, 6, 5, 5, 5, 9, 10, 9, 11, 10, 11, 9, 9, 11, 10, 11, 11, 9, 9, 10, 12, 11, 12, 12, 12, 9, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 8, 9, 7, 8, 7, 10, 9, 10, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 8, 9, 9, 7, 8, 7, 10, 9, 10, 8, 9, 7, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 6, 6, 8, 9, 7, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 6, 6, 9, 8, 9, 8, 10, 10, 8, 10, 10, 10, 10, 10, 4, 4, 7, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 7, 8, 8, 7, 4, 4, 6, 6, 9, 8, 9, 8, 10, 10, 8, 4, 4, 7, 6, 6, 9, 8, 9, 8, 10, 10, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 10, 9, 10, 10, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 11, 11, 11, 11, 4, 4, 6, 6, 9, 8, 9, 8, 10, 10, 4, 4, 5, 5, 5, 5, 7, 9, 10, 9, 9, 10, 11, 11, 9, 7, 7, 12, 13, 11, 12, 11, 12, 11, 7, 7, 8, 8, 8, 11, 11, 14, 13, 14, 13, 14, 13, 9, 9, 10, 11, 13, 14, 13, 10, 10, 15, 16, 14, 15, 14, 15, 14, 4, 4, 8, 9, 7, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 3, 2, 1, 2, 2, 3, 2, 2, 3, 3, 0, 6, 6, 2, 1, 1, 1, 2, 6, 6, 0, 2, 1, 2, 2, 3, 2, 2, 2, 0, 5, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 3, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 5, 2, 1, 1, 1, 0, 7, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 9, 0, 2, 2, 2, 1, 1, 1, 0, 11, 2, 2, 1, 4, 4, 3, 1, 3, 3, 3, 0, 2, 1, 0, 1, 2, 1, 1, 0, 3, 2, 2, 1, 1, 5, 0, 2, 2, 2, 2, 1, 4, 4, 4, 1, 2, 4, 4, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 7, 7, 1, 2, 1, 1, 1, 2, 7, 7, 0, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 7, 1, 1, 2, 7, 7, 7, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 9, 9, 9, 9, 0, 1, 1, 1, 1, 3, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2 ]
[ 823, 3725, 2416, 2762, 44, 284, 16277, 280, 2149, 284, 2016, 280, 1404, 284, 477, 16099, 284, 665, 617, 3780, 81, 22821, 81, 33232, 26, 88, 30, 7311, 47, 40, 38, 711, 291, 1188, 2322, 291, 645, 638, 7413, 81, 3780, 81, 22821, 1188, 308, 400, 13531, 81, 3780, 81, 22821, 81, 470, 30, 400, 13531, 81, 3780, 81, 22821, 81, 297, 81, 731, 81, 22821, 30, 400, 8437, 444, 20236, 2338, 924, 30, 400, 829, 291, 9899, 280, 296, 32, 5039, 7888, 346, 291, 13531, 81, 3780, 81, 22821, 81, 470, 26, 2995, 27, 291, 9058, 280, 1605, 291, 2218, 2933, 44, 324, 1596, 44, 400, 706, 280, 2322, 32, 850, 26, 2995, 30, 7311, 27, 400, 415, 646, 706, 44, 528, 6761, 323, 25, 2473, 2524, 26, 8587, 27, 528, 9058, 32, 3815, 346, 324, 2940, 8437, 444, 20236, 2338, 924, 619, 538, 44, 400, 415, 646, 13531, 81, 3780, 81, 22821, 81, 297, 81, 731, 81, 22821, 26, 327, 711, 528, 3636, 538, 400, 6761, 323, 2699, 400, 4036, 324, 2218, 2933, 44, 400, 310, 280, 706, 32, 1809, 26, 84, 10255, 96, 683, 400, 415, 310, 610, 429, 35, 44, 528, 1626, 400, 6761, 323, 25, 2473, 2524, 26, 8587, 27, 474, 706, 2867, 96, 474, 225, 35, 79, 400, 706, 280, 706, 77, 96, 474, 225, 35, 10056, 400, 9058, 32, 3815, 346, 324, 9058, 32, 1689, 26, 605, 27, 284, 665, 617, 3734, 81, 2024, 26, 784, 711, 291, 12532, 81, 928, 81, 1731, 30, 16154, 81, 928, 81, 1731, 280, 630, 1114, 2668, 81, 1731, 291, 436, 1628, 81, 1731, 30, 3639, 81, 681, 328, 308, 400, 308, 9362, 81, 928, 81, 1731, 30, 5053, 1589, 45306, 400, 308, 8228, 81, 928, 81, 1731, 30, 5053, 10431, 18143, 400, 8063, 324, 2218, 2933, 44, 400, 1628, 280, 2354, 26, 928, 81, 1731, 547, 38848, 346, 38042, 415, 646, 1628, 44, 528, 1626, 400, 630, 32, 3734, 26, 3734, 81, 681, 30, 1628, 32, 5460, 26, 8644, 1057, 3310, 31, 42, 370, 3878, 1057, 8841, 32062, 11731, 2847, 284, 665, 617, 13851, 81, 1403, 26, 784, 30, 1619, 711, 291, 31225, 280, 1619, 32, 3518, 81, 4018, 291, 3223, 280, 1619, 32, 3518, 291, 630, 1114, 7212, 280, 31225, 32, 1567, 81, 7212, 81, 669, 26, 784, 32, 3734, 81, 7568, 30, 3223, 27, 291, 3223, 32, 7017, 81, 470, 463, 16718, 683, 284, 665, 617, 13851, 81, 4775, 26, 784, 30, 1619, 711, 291, 31225, 280, 1619, 32, 3518, 81, 4018, 291, 3223, 280, 1619, 32, 3518, 291, 31225, 32, 1567, 81, 7212, 81, 2546, 26, 784, 1114, 7212, 27, 291, 3223, 32, 7017, 81, 470, 463, 5807, 683, 284, 665, 2164, 81, 1001, 26, 784, 711, 291, 3097, 284, 665, 2164, 81, 1526, 26, 784, 30, 442, 687, 711, 291, 3097, 284, 665, 10796, 26, 784, 30, 1619, 30, 1692, 711, 291, 31225, 280, 1619, 32, 3518, 81, 4018, 291, 298, 280, 630, 1114, 2416, 291, 415, 1692, 32, 681, 610, 330, 37397, 950, 324, 630, 32, 8151, 26, 1819, 27, 324, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 1, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 7, 5, 4, 4, 6, 5, 5, 6, 9, 9, 9, 9, 9, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 6, 6, 6, 5, 5, 7, 7, 9, 10, 10, 9, 5, 5, 8, 8, 8, 8, 8, 8, 8, 9, 8, 5, 5, 7, 7, 5, 5, 6, 6, 6, 6, 8, 8, 8, 11, 11, 13, 14, 13, 14, 13, 13, 13, 9, 9, 10, 11, 10, 10, 10, 13, 17, 17, 16, 15, 16, 15, 11, 11, 14, 15, 14, 8, 8, 9, 11, 11, 11, 11, 10, 10, 9, 9, 9, 11, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 14, 11, 11, 13, 10, 10, 12, 14, 10, 10, 7, 7, 8, 8, 8, 8, 11, 11, 13, 14, 13, 15, 15, 16, 15, 9, 9, 10, 11, 11, 13, 10, 10, 10, 9, 9, 11, 16, 16, 15, 14, 15, 14, 12, 12, 13, 16, 15, 15, 16, 13, 9, 9, 11, 11, 12, 15, 14, 14, 15, 13, 9, 9, 12, 13, 12, 7, 7, 10, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 6, 6, 8, 8, 8, 8, 8, 7, 7, 10, 10, 6, 6, 8, 8, 8, 8, 8, 7, 7, 10, 10, 6, 6, 5, 5, 7, 7, 7, 7, 10, 10, 14, 15, 15, 15, 14, 13, 12, 8, 8, 9, 10, 9, 9, 9, 8, 8, 11, 12, 11, 12, 12, 12, 11, 11, 13, 14, 13, 15, 14, 16, 16, 16, 16, 13, 14, 16, 16, 16, 16, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 8, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 9, 10, 9, 10, 9, 6, 6, 9 ]
[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 0, 4, 4, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 4, 4, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 3, 0, 0, 0, 0, 1, 1, 3, 3, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 3, 3, 0, 0, 2, 0, 0, 0, 2, 2, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 0, 0, 1, 1, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 2, 3, 3, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 3, 3, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 3, 3, 5, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 3, 3, 6, 1, 1, 2, 1, 2, 6, 6, 3, 3, 7, 1, 1, 2, 1, 2, 2, 3, 2, 7, 7, 3, 3, 8, 2, 1, 2, 2, 2, 2, 2, 8, 8, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0 ]
[ 1070, 48885, 38, 1188, 10701, 2852, 30, 34031, 225, 203, 823, 28512, 2168, 26, 37571, 32, 40079, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1344, 30, 2935, 47, 2521, 711, 291, 34031, 32, 2150, 814, 3667, 1664, 3207, 784, 30, 2935, 27, 291, 630, 32, 878, 280, 1344, 291, 28923, 280, 34031, 32, 67, 2727, 32, 2186, 9504, 346, 291, 630, 32, 1644, 280, 28923, 32, 1644, 26, 784, 32, 878, 27, 291, 630, 32, 2273, 280, 28923, 32, 2273, 346, 291, 630, 32, 47493, 26, 30609, 32, 32207, 26, 784, 32, 1644, 30, 630, 32, 2273, 490, 291, 630, 32, 34698, 1250, 26, 30609, 32, 32207, 26, 784, 32, 1644, 30, 630, 32, 2273, 490, 291, 630, 32, 470, 9518, 26, 34, 30, 225, 34, 30, 630, 32, 1644, 30, 630, 32, 2273, 27, 284, 665, 16880, 1151, 26, 784, 30, 1692, 711, 291, 28923, 280, 34031, 32, 67, 2727, 32, 2186, 9504, 346, 291, 42300, 280, 34031, 32, 17358, 18725, 346, 291, 42300, 32, 2409, 26, 784, 27, 291, 42300, 32, 470, 16077, 26, 37571, 32, 67, 16077, 26, 37571, 32, 67, 1514, 3609, 16228, 2201, 21180, 291, 42300, 32, 470, 16309, 26, 30609, 32, 9071, 32, 2023, 16309, 27, 291, 42300, 32, 3887, 4367, 26, 34, 30, 225, 34, 30, 28923, 32, 2273, 1026, 28923, 32, 1644, 26, 784, 32, 878, 490, 291, 42300, 32, 470, 16309, 26, 30609, 32, 9071, 32, 7021, 27, 291, 42300, 32, 13036, 3736, 43, 34, 27, 291, 42300, 32, 3887, 1031, 26, 1567, 32, 6587, 1026, 10701, 2852, 32, 9071, 32, 8427, 7056, 30, 630, 32, 878, 27, 291, 42300, 32, 416, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 3, 1, 1, 0, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 6, 6, 9, 10, 10, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 10, 11, 9, 9, 10, 11, 9, 4, 4, 7, 8, 8, 7, 10, 9, 10, 9, 11, 10, 11, 9, 9, 10, 11, 9, 4, 4, 7, 8, 8, 7, 8, 7, 7, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 10, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 10, 9, 10, 10, 9, 12, 11, 12, 12, 11, 13, 13, 13, 4, 4, 7, 8, 8, 7, 10, 9, 10, 8, 9, 9, 7, 4, 4, 7, 8, 8, 7, 8, 7, 7, 8, 7, 7, 9, 10, 9, 7, 9, 10, 9, 11, 10, 11, 9, 4, 4, 7, 8, 8, 7, 10, 9, 10, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 7, 4, 4, 7, 8, 8, 7, 10, 9, 10, 9, 7, 10, 9, 10, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 3, 2, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5599, 8338, 1188, 43506, 203, 1070, 5718, 1188, 5718, 203, 823, 43506, 81, 2019, 26, 2019, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1359, 711, 291, 630, 32, 3841, 280, 1359, 710, 3841, 785, 291, 630, 32, 1567, 280, 1359, 710, 1567, 785, 291, 630, 32, 3237, 280, 1359, 710, 3237, 785, 291, 3097, 284, 665, 5889, 26, 784, 711, 291, 2181, 280, 630, 32, 1567, 32, 8299, 77, 34, 997, 2998, 346, 291, 415, 646, 630, 32, 3237, 32, 7345, 81, 2135, 81, 2472, 44, 324, 415, 2069, 26, 1132, 27, 848, 225, 35, 44, 400, 1596, 44, 528, 2678, 280, 630, 32, 3237, 32, 25072, 81, 668, 32, 3855, 81, 7345, 26, 1132, 77, 35, 1130, 400, 2940, 3268, 44, 528, 2678, 280, 43506, 440, 8761, 81, 14167, 392, 313, 15494, 1330, 844, 3540, 844, 1395, 526, 7867, 1751, 372, 1389, 44917, 324, 813, 44, 400, 2678, 280, 630, 32, 3237, 32, 25072, 81, 668, 32, 3855, 81, 7345, 346, 324, 630, 32, 3237, 32, 2135, 81, 7345, 280, 2678, 324, 630, 32, 17516, 26, 784, 32, 1567, 32, 1977, 30, 2678, 27, 291, 3097, 284, 665, 16533, 26, 784, 30, 1760, 30, 1474, 711, 291, 630, 32, 3841, 32, 7242, 2076, 26, 1977, 30, 1474, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 11, 12, 10, 11, 9, 10, 9, 9, 8, 4, 4, 5, 6, 8, 9, 7, 8, 8, 8, 8, 8, 5, 5, 5, 7, 10, 11, 10, 8, 8, 9, 7, 7, 7, 9, 9, 9, 12, 12, 16, 17, 15, 16, 16, 16, 14, 15, 15, 15, 14, 16, 15, 16, 15, 9, 9, 10, 10, 10, 10, 13, 13, 15, 17, 17, 17, 17, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 7, 7, 8, 8, 8, 11, 11, 15, 16, 14, 15, 15, 15, 13, 14, 14, 14, 13, 6, 6, 10, 11, 9, 10, 10, 10, 8, 8, 6, 6, 9, 10, 9, 12, 11, 12, 10, 11, 9, 9, 9, 4, 4, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 8, 7, 8, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 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, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 4, 4, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 0, 0, 3, 3, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 4, 4, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 7138, 1188, 7138, 203, 1070, 3995, 1188, 10477, 410, 203, 465, 3995, 203, 465, 802, 203, 1070, 323, 6340, 32, 3378, 1188, 4581, 3135, 203, 1070, 323, 6340, 32, 3378, 1188, 551, 1826, 203, 1070, 323, 6340, 32, 3378, 1188, 9130, 203, 1070, 323, 6340, 32, 3378, 32, 725, 751, 1188, 1995, 1335, 203, 1070, 323, 6340, 32, 3378, 32, 2393, 1188, 2680, 203, 1070, 323, 6340, 32, 3378, 32, 5136, 1188, 308, 284, 15191, 28871, 30, 284, 14126, 81, 935, 30, 203, 27, 203, 589, 3995, 81, 410, 26, 1449, 47, 35, 34, 34, 34, 711, 284, 442, 10477, 410, 26, 34, 30, 1769, 27, 203, 589, 3995, 81, 800, 26, 1322, 47, 2521, 711, 284, 16656, 280, 802, 32, 14510, 81, 23910, 474, 802, 32, 17980, 284, 596, 81, 1322, 280, 3104, 415, 3104, 438, 646, 1665, 813, 3995, 81, 410, 346, 284, 442, 15390, 26, 103, 25, 2473, 2524, 26, 3855, 32, 11447, 26, 13000, 27, 436, 816, 328, 2155, 26, 466, 81, 1322, 2610, 203, 589, 3995, 81, 965, 2262, 284, 1984, 280, 1044, 20, 525, 45268, 34, 4009, 508, 2296, 1643, 26, 3855, 81, 800, 1157, 284, 442, 1984, 203, 589, 1930, 81, 725, 751, 26, 1436, 47, 2521, 30, 2287, 47, 2521, 711, 284, 415, 2287, 438, 1665, 44, 291, 2287, 280, 3995, 81, 410, 26, 1449, 47, 37, 27, 284, 415, 1474, 438, 1665, 44, 291, 1474, 280, 3995, 81, 800, 26, 35, 34, 34, 27, 284, 743, 817, 280, 1995, 1335, 14605, 109, 291, 330, 496, 950, 3995, 81, 800, 26, 35, 34, 471, 291, 330, 2292, 950, 3995, 81, 800, 26, 35, 34, 471, 291, 330, 1517, 950, 2287, 30, 291, 330, 1436, 950, 1474, 30, 291, 330, 6263, 950, 1044, 33280, 284, 1790, 284, 442, 743, 817, 203, 589, 1930, 81, 2142, 26, 426, 47, 2521, 711, 284, 415, 646, 636, 44, 291, 636, 280, 3995, 81, 800, 26, 36, 39, 39, 27, 284, 442, 9130, 26, 426, 27, 203, 589, 1930, 81, 29496, 26, 496, 47, 2521, 711, 284, 323, 1826, 280, 551, 1826, 26, 3855, 81, 965, 1026, 1750, 952, 47, 103, 20, 2300, 392, 1750, 5585, 47, 3855, 81, 800, 1026, 1750, 1447, 47, 3855, 81, 800, 1026, 1750, 5911, 47, 103, 20, 42824, 657, 284, 415, 1256, 44, 291, 323, 1826, 32, 699, 280, 1256, 32, 699, 291, 323, 1826, 32, 496, 280, 1256, 284, 4581, 3135, 32, 669, 26, 84, 1826, 27, 284, 4581, 3135, 32, 9321, 346, 284, 442, 323, 1826, 203, 589, 1930, 81, 496, 81, 29496, 81, 998, 26, 699, 30, 706, 30, 273, 2724, 47, 2521, 711, 284, 415, 273, 2724, 438, 1665, 44, 291, 273, 2724, 280, 7138, 32, 44026, 346, 284, 323, 1826, 81, 998, 280, 15191, 28871, 26, 102, 2724, 47, 102, 2724, 30, 7686, 41325, 47, 4975, 81, 935, 32, 1643, 26, 699, 471, 7686, 706, 47, 605, 27, 284, 4581, 3135, 32, 669, 26, 84, 1826, 81, 998, 27, 284, 4581, 3135, 32, 9321, 346, 284, 442, 428, 84, 1826, 81, 998, 32, 22765, 30, 323, 1826 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 5, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 7, 5, 5, 6, 7, 2, 2, 5, 5, 4, 4, 5, 5, 6, 6, 6, 5, 5, 7, 7, 7, 2, 2, 3, 5, 9, 9, 9, 8, 7, 10, 9, 10, 9, 10, 9, 7, 8, 8, 8, 10, 11, 11, 11, 10, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 8, 8, 8, 8, 8, 8, 8, 7, 6, 8, 8, 8, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 8, 8, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 8, 8, 9, 9, 9, 8, 2, 2, 5, 4, 4, 6, 6, 8, 8, 8, 11, 11, 9, 11, 11, 11, 12, 12, 11, 8, 8, 11, 11, 9, 11, 11, 11, 12, 12, 11, 8, 8, 11, 11, 9, 8, 8, 8, 11, 11, 9, 8, 8, 8, 11, 11, 9, 11, 8, 8, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 3, 3, 3, 6, 6, 8, 8, 8, 9, 9, 9, 8, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 2, 2, 3, 3, 3, 3, 8, 7, 8, 6, 6, 7, 8, 4, 4, 8, 7, 8, 6, 6, 2, 2, 6, 5, 6, 5, 6, 6, 5, 2, 2, 6, 5, 6, 5, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 5, 4, 4, 3, 3, 3, 7, 6, 6, 8, 9, 8, 2, 2, 5, 5, 5, 4, 4, 6, 6, 8, 8, 7, 8, 8, 6, 6, 6, 7, 10, 10, 10, 9, 10, 9, 10, 9, 6, 6, 7, 8, 6, 2, 2, 6, 5, 6, 5, 6, 6, 6, 6, 5, 2, 2, 6, 5, 6, 5, 2, 2, 3, 6, 6, 6, 6, 5, 6, 4, 4, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 4, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 10, 10, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 2, 0, 1, 2, 2, 11, 11, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 4, 4, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 12, 12, 1, 1, 2, 12, 12, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 4, 4, 1, 0, 13, 13, 1, 1, 1, 2, 0, 1, 2, 2, 2, 3, 2, 2, 13, 13, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 2, 9, 0, 1, 1, 4, 4, 3, 1, 0, 14, 14, 1, 1, 2, 0, 1, 2, 2, 14, 14, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 15, 15, 1, 1, 2, 0, 1, 2, 2, 15, 15, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 3, 0, 0, 1, 2, 1, 1, 5, 0, 0, 0, 1, 1, 1, 7, 0, 0, 0, 1, 1, 1, 9, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 3, 3, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 4, 4, 4, 1, 0, 16, 16, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 16, 16, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 4, 4, 4, 0, 0, 0, 0, 1, 2, 1, 1, 0 ]
[ 1070, 1984, 2208, 1188, 1984, 2208, 203, 465, 7138, 203, 465, 12198, 90, 37, 203, 465, 2361, 203, 465, 36252, 203, 465, 2322, 203, 589, 9336, 81, 452, 81, 9941, 26, 2076, 711, 284, 1596, 44, 291, 3124, 280, 15390, 26, 2076, 30, 330, 3310, 42, 683, 284, 2940, 23174, 11867, 924, 44, 291, 1596, 44, 324, 3124, 280, 15390, 26, 2076, 30, 330, 14859, 31, 42, 42, 39, 43, 31, 35, 683, 291, 2940, 23174, 11867, 924, 44, 324, 3124, 280, 15390, 26, 2076, 30, 330, 3310, 42, 370, 330, 3617, 683, 284, 442, 3124, 203, 589, 2164, 81, 8304, 81, 911, 95, 81, 1357, 26, 1199, 81, 4817, 30, 5427, 81, 2132, 30, 7725, 81, 314, 30, 3124, 711, 284, 2488, 18036, 280, 3124, 32, 1357, 32, 5078, 710, 2233, 265, 8150, 34, 79, 415, 2069, 26, 2076, 32, 1357, 32, 5078, 710, 2233, 265, 3490, 848, 225, 34, 813, 4247, 284, 706, 280, 308, 7128, 81, 2132, 710, 33982, 81, 314, 2188, 324, 9336, 81, 452, 81, 9941, 26, 2076, 32, 1357, 32, 965, 471, 324, 3124, 32, 1357, 32, 1959, 30, 324, 9336, 81, 452, 81, 9941, 26, 23076, 471, 324, 2361, 32, 16958, 26, 2076, 32, 1357, 32, 5078, 32, 371, 81, 1293, 6182, 324, 7725, 81, 314, 30, 324, 596, 26, 6665, 32, 6665, 32, 2174, 5156, 284, 3082, 81, 4817, 32, 2714, 26146, 2631, 2641, 1913, 81, 9698, 308, 33982, 81, 314, 30, 1984, 30, 1411, 30, 2488, 18036, 30, 4826, 30, 313, 528, 313, 8275, 81, 314, 30, 1133, 81, 2724, 27, 2742, 308, 32959, 32959, 32959, 49, 5715, 706, 490, 203, 589, 2164, 81, 8304, 81, 911, 95, 81, 1986, 26, 1199, 81, 4817, 30, 456, 1199, 81, 4817, 30, 4082, 30, 5427, 81, 2132, 30, 7725, 81, 314, 30, 3124, 711, 284, 2488, 18036, 280, 3124, 32, 1357, 32, 5078, 710, 2233, 265, 8150, 34, 79, 415, 2069, 26, 2076, 32, 1357, 32, 5078, 710, 2233, 265, 3490, 848, 225, 34, 813, 4247, 284, 3894, 280, 3124, 32, 1986, 32, 5078, 710, 2645, 8150, 34, 79, 415, 2069, 26, 2076, 32, 1986, 32, 5078, 710, 2645, 3490, 848, 225, 34, 813, 4247, 284, 1795, 81, 2888, 280, 4131, 81, 4259, 81, 1286, 26, 94, 1199, 81, 4817, 30, 4082, 30, 5427, 81, 2132, 30, 3124, 27, 284, 706, 280, 308, 7128, 81, 2132, 710, 33982, 81, 314, 2188, 324, 9336, 81, 452, 81, 9941, 26, 2076, 32, 1357, 32, 965, 471, 324, 9336, 81, 452, 81, 9941, 26, 2076, 32, 1357, 32, 1959, 471, 324, 9336, 81, 452, 81, 9941, 26, 23076, 471, 324, 3124, 32, 1986, 32, 687, 30, 324, 3124, 32, 1986, 32, 2076, 30, 324, 2361, 32, 16958, 26, 2076, 32, 1986, 32, 5078, 32, 371, 81, 1293, 6182, 324, 9336, 81, 452, 81, 9941, 26, 2645, 471, 324, 7725, 81, 314, 30, 324, 596, 26, 6665, 32, 6665, 32, 2174, 6182, 324, 1795, 81, 2888, 27, 284, 3082, 81, 4817, 32, 2714, 26146, 2631, 2641, 1913, 81, 18263, 308, 33982, 81, 314, 30, 1984, 30, 1411, 30, 2488 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 6, 6, 8, 9, 8, 8, 10, 10, 10, 3, 3, 4, 5, 5, 4, 4, 4, 6, 6, 6, 9, 9, 11, 12, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 12, 13, 12, 12, 14, 14, 14, 12, 14, 14, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 5, 4, 4, 9, 10, 8, 9, 7, 9, 9, 9, 7, 6, 5, 5, 8, 12, 11, 12, 10, 11, 9, 11, 11, 11, 6, 6, 7, 5, 5, 2, 2, 4, 4, 7, 7, 7, 6, 8, 8, 8, 8, 5, 5, 7, 7, 7, 7, 7, 10, 9, 10, 8, 9, 7, 5, 5, 7, 8, 6, 7, 5, 5, 5, 7, 7, 7, 7, 7, 8, 7, 5, 5, 7, 8, 7, 12, 11, 12, 10, 11, 9, 10, 10, 10, 9, 5, 5, 6, 6, 5, 5, 5, 7, 11, 10, 11, 9, 10, 9, 2, 2, 6, 6, 5, 6, 5, 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, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 5, 4, 4, 9, 10, 8, 9, 7, 9, 9, 9, 7, 6, 5, 5, 8, 12, 11, 12, 10, 11, 9, 11, 11, 11, 6, 6, 7, 5, 5, 2, 2, 4, 4, 9, 10, 8, 9, 7, 9, 9, 7, 6, 5, 5, 8, 12, 11, 12, 10, 11, 9, 11, 11, 6, 6, 7, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 6, 6, 6, 2, 2, 4, 4, 7, 7, 7, 6, 8, 8, 8, 8, 5, 5, 7, 7, 7, 7, 7, 10, 9, 10, 8, 9, 7, 5, 5, 7, 7, 7, 7, 7, 10, 9, 10, 8, 9, 7, 5, 5, 7, 7, 7, 7, 7, 8, 7, 5, 5, 7, 8, 6, 7, 5, 5, 5, 7, 8, 6, 7, 5, 5, 5, 7, 8, 7, 12, 11, 12, 10, 11, 9, 10, 10, 10, 9, 5, 5, 7, 7, 7, 7, 7, 8, 7, 5, 5, 6, 6, 5, 5, 5, 7, 11, 10, 11, 9, 10, 9, 5, 5, 6, 6, 5, 2, 2, 6, 6, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 7, 7, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 5, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 11, 11, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 2, 8, 8, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 9, 2, 2, 2, 2, 0, 2, 11, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 17, 17, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 21, 21, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 22045, 203, 465, 22045, 36, 203, 465, 1984, 2208, 203, 465, 6234, 203, 465, 1133, 203, 465, 2361, 203, 465, 5237, 203, 465, 5741, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 465, 25679, 203, 593, 280, 25679, 32, 33278, 26, 9378, 47, 38, 27, 203, 823, 3139, 4023, 2721, 26, 39362, 36, 32, 39145, 6861, 711, 664, 665, 1913, 81, 1986, 26, 784, 30, 1326, 30, 1789, 711, 397, 442, 1789, 664, 1678, 81, 1986, 280, 1913, 81, 1986, 203, 823, 4448, 1554, 1868, 26, 39362, 36, 32, 1104, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1984, 30, 1411, 30, 706, 47, 2521, 30, 4826, 34444, 7382, 81, 2403, 81, 2035, 47, 2521, 30, 707, 424, 15621, 47, 2700, 711, 291, 630, 1114, 1959, 280, 1411, 291, 1044, 280, 1984, 2208, 32, 965, 2208, 26, 965, 27, 291, 630, 1114, 1382, 81, 1357, 280, 5461, 101, 904, 101, 4808, 33, 35, 32, 35, 78, 96, 20, 904, 308, 1959, 30, 1044, 32, 983, 27, 291, 436, 420, 328, 4826, 44, 2607, 630, 1114, 1382, 81, 1357, 1454, 5461, 101, 44, 904, 101, 78, 96, 20, 904, 308, 90, 30, 4826, 77, 90, 1130, 291, 630, 1114, 1382, 81, 1357, 1454, 2706, 96, 20, 291, 415, 706, 44, 2607, 630, 1114, 1382, 81, 1357, 1454, 706, 291, 22045, 36, 32, 1104, 3667, 1664, 3207, 784, 30, 1984, 30, 706, 30, 4826, 30, 7382, 81, 2403, 81, 2035, 30, 707, 424, 15621, 27, 284, 665, 622, 81, 1959, 26, 784, 711, 291, 415, 630, 1114, 1959, 44, 324, 442, 630, 1114, 1959, 291, 813, 44, 324, 442, 22045, 36, 32, 1104, 32, 371, 81, 1959, 26, 784, 27, 225, 203, 823, 4808, 7635, 2262, 664, 665, 1156, 1664, 3207, 784, 30, 5868, 47, 35, 34, 711, 397, 630, 32, 5457, 280, 5868, 397, 630, 32, 7071, 2424, 280, 2149, 397, 630, 32, 7071, 2424, 710, 1260, 785, 280, 330, 3164, 33, 1260, 25, 397, 630, 32, 7071, 2424, 710, 2593, 785, 280, 330, 3164, 33, 2593, 25, 397, 630, 32, 7071, 2424, 710, 878, 785, 280, 330, 878, 33, 7355, 25, 397, 630, 32, 7071, 2424, 710, 4700, 785, 280, 330, 878, 33, 4700, 25, 664, 665, 5514, 36, 681, 26, 784, 30, 5514, 711, 397, 436, 831, 328, 630, 32, 7071, 2424, 44, 276, 1596, 44, 324, 415, 630, 32, 7071, 2424, 77, 93, 79, 610, 5514, 44, 3083, 442, 26, 93, 27, 276, 2940, 44, 324, 3097, 397, 442, 463, 1260, 683, 664, 665, 617, 1217, 26, 784, 30, 3616, 711, 397, 1477, 280, 943, 280, 225, 34, 397, 1340, 280, 429, 35, 397, 540, 5078, 280, 2149, 397, 2152, 280, 1665, 397, 316, 1382, 2980, 280, 1665, 397, 1596, 44, 276, 3089, 749, 280, 22045, 36, 32, 1832, 81, 520, 749, 26, 2023, 4023, 2721, 27, 397, 2940, 3268, 30, 484, 44, 276, 4082, 32, 3893, 26, 87, 27, 276, 5237, 32, 4775, 26, 34, 27, 397, 1596, 44, 276, 1477, 280, 1133, 32, 1003, 346, 276, 1789, 280, 3089, 749, 32, 1676, 26, 2403, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 5, 6, 4, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 2, 2, 5, 5, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 5, 4, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 6, 6, 9, 8, 9, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 7, 7, 9, 8, 8, 9, 10, 8, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 10, 10, 8, 8, 11, 11, 11, 11, 12, 12, 11, 9, 9, 11, 10, 10, 11, 12, 11, 4, 4, 7, 8, 8, 8, 6, 6, 9, 8, 4, 4, 5, 5, 5, 5, 9, 10, 10, 10, 8, 8, 4, 4, 9, 8, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 7, 8, 9, 5, 5, 6, 6, 6, 8, 12, 11, 12, 10, 11, 11, 11, 10, 11, 10, 0, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 8, 9, 9, 7, 9, 9, 6, 6, 8, 8, 8, 8, 4, 4, 8, 9, 9, 7, 9, 9, 6, 6, 8, 8, 8, 8, 4, 4, 8, 9, 9, 7, 9, 9, 6, 6, 8, 8, 8, 8, 4, 4, 8, 9, 9, 7, 9, 9, 6, 6, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 6, 7, 7, 5, 5, 5, 7, 7, 7, 9, 12, 13, 13, 11, 12, 11, 10, 10, 9, 9, 9, 12, 13, 12, 7, 7, 8, 8, 8, 4, 4, 6, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 7, 8, 4, 4, 6, 6, 8, 4, 4, 7, 6, 6, 4, 4, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 9, 8, 8, 11, 10, 11, 11, 11, 11, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 6, 6, 6, 10, 11, 10, 11, 10, 7, 7, 10, 11, 10, 11, 10, 4, 4, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 8, 8, 11, 10, 11, 10, 11, 10 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 9, 9, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 11, 11, 1, 1, 2, 0, 0, 1, 2, 2, 2, 11, 11, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 0, 12, 12, 1, 1, 2, 0, 0, 1, 2, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 9, 2, 0, 0, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 3, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 3, 2, 3, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 4, 4, 5, 5, 5, 5, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 1, 1, 11, 11, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 13, 13, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 3, 3, 3, 4, 4, 1, 1, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 5, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 3, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 4, 4, 6, 6, 6, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 4134, 203, 465, 14785, 619, 5239, 203, 823, 22344, 290, 1243, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 5359, 30, 6492, 30, 420, 2132, 30, 2926, 711, 284, 2080, 81, 24366, 280, 428, 291, 5239, 32, 28978, 32, 2101, 5037, 32, 30489, 30, 5239, 32, 28978, 32, 2101, 5037, 32, 21705, 30, 291, 5239, 32, 28978, 32, 2101, 5037, 32, 2883, 29718, 284, 1481, 284, 415, 2926, 646, 328, 2080, 81, 24366, 44, 397, 3636, 10091, 440, 7700, 2926, 328, 904, 101, 32, 26031, 44, 904, 101, 20, 904, 308, 1327, 81, 24366, 30, 2926, 490, 284, 630, 32, 90, 2132, 280, 420, 2132, 284, 630, 32, 2816, 280, 2926, 284, 630, 32, 1003, 81, 8442, 81, 5905, 280, 5359, 32, 371, 440, 1003, 81, 8442, 81, 5905, 392, 12797, 284, 630, 32, 11416, 81, 5905, 280, 5359, 32, 371, 440, 11416, 81, 5905, 392, 12797, 284, 630, 32, 5919, 280, 6492, 284, 630, 32, 9582, 280, 5359, 32, 371, 440, 9582, 657, 284, 630, 32, 297, 81, 10705, 280, 1665, 284, 630, 32, 3264, 81, 2997, 280, 1665, 284, 630, 32, 1003, 81, 8442, 81, 3864, 81, 8216, 280, 2149, 284, 630, 32, 11416, 81, 3864, 81, 8216, 280, 2149, 284, 630, 32, 1001, 81, 26197, 81, 7232, 280, 1665, 284, 630, 32, 26197, 280, 1665, 284, 630, 32, 20283, 280, 1665, 284, 630, 32, 4432, 81, 27861, 280, 1665, 284, 630, 32, 2999, 81, 5410, 280, 1665, 334, 665, 1968, 81, 1003, 81, 8442, 81, 3864, 81, 8216, 26, 784, 711, 284, 630, 32, 1003, 81, 8442, 81, 3864, 81, 8216, 280, 630, 32, 1003, 81, 8442, 81, 5905, 334, 665, 1968, 81, 11416, 81, 3864, 81, 8216, 26, 784, 711, 284, 630, 32, 11416, 81, 3864, 81, 8216, 280, 630, 32, 11416, 81, 5905, 334, 665, 1968, 81, 26197, 26, 784, 711, 284, 1133, 81, 8442, 81, 3864, 81, 8216, 280, 8594, 26, 291, 630, 32, 1003, 81, 8442, 81, 3864, 81, 8216, 32, 3028, 1026, 1202, 47, 2989, 32, 1094, 18241, 26, 34, 490, 284, 11042, 81, 3864, 81, 8216, 280, 8594, 26, 291, 630, 32, 11416, 81, 3864, 81, 8216, 32, 3028, 1026, 1202, 47, 2989, 32, 1094, 18241, 26, 34, 490, 284, 6826, 81, 8216, 280, 1133, 81, 8442, 81, 3864, 81, 8216, 474, 11042, 81, 3864, 81, 8216, 284, 415, 646, 6826, 81, 8216, 44, 397, 3636, 10091, 440, 1076, 6225, 1591, 1133, 9484, 6826, 5396, 556, 46774, 313, 5556, 313, 3864, 5396, 438, 2129, 7144, 284, 415, 2069, 26, 3864, 81, 8216, 27, 610, 225, 35, 44, 397, 1406, 81, 26197, 81, 7232, 280, 6826, 81, 8216, 77, 34, 1674, 35, 79, 284, 813, 44, 397, 1406, 81, 26197, 81, 7232, 280, 5239, 32, 7232, 26, 616, 428, 1823, 77, 35, 79, 436, 5396, 328, 6826, 81, 8216, 614, 616, 6013, 47, 35, 30, 616, 636, 347, 1001, 81, 26197, 81, 7232, 657, 284, 3706 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 7, 7, 10, 11, 9, 10, 10, 8, 9, 7, 7, 10, 11, 9, 10, 10, 8, 9, 7, 7, 7, 10, 11, 9, 10, 10, 8, 9, 9, 7, 7, 4, 4, 5, 6, 6, 6, 7, 7, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 11, 11, 11, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 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, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 11, 12, 12, 12, 12, 12, 12, 12, 10, 11, 10, 8, 9, 12, 11, 12, 12, 11, 12, 11, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 8, 11, 12, 12, 12, 12, 12, 10, 11, 10, 8, 9, 12, 11, 12, 12, 11, 12, 11, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 4, 4, 5, 6, 7, 7, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 4, 4, 5, 8, 9, 9, 9, 8, 6, 6, 7, 5, 5, 5, 9, 9, 9, 9, 8, 8, 11, 11, 10, 11, 10, 10, 9, 5, 5, 6, 6, 6, 10, 10, 10, 10, 9, 9, 11, 12, 11, 11, 11, 14, 13, 14, 13, 12, 13, 13, 13, 14, 14, 12, 11, 11, 12, 13, 11, 11, 11, 12, 14, 14, 14, 14, 14, 14, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 1, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 3, 2, 2, 2, 2, 0, 2, 0, 2, 2, 5, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 3, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 3, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 3, 3, 1, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 4, 4 ]
[ 465, 25679, 203, 465, 316, 261, 203, 465, 18792, 203, 1070, 10214, 648, 267, 81, 4968, 32, 5983, 1188, 8145, 203, 823, 676, 35, 61, 42, 101, 27101, 26, 1473, 711, 284, 2156, 1237, 81, 2516, 280, 301, 291, 330, 426, 950, 330, 466, 370, 291, 330, 3968, 950, 330, 72, 35, 61, 42, 101, 2291, 3694, 370, 291, 330, 297, 81, 22115, 950, 330, 2420, 25, 284, 320, 284, 3879, 81, 1110, 280, 301, 291, 330, 426, 950, 330, 426, 370, 291, 330, 3968, 950, 330, 3968, 370, 291, 330, 297, 81, 22115, 950, 330, 297, 14815, 25, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 636, 47, 2521, 30, 5365, 47, 2521, 30, 438, 81, 22115, 47, 2521, 30, 2196, 81, 6862, 81, 5983, 47, 2521, 711, 16189, 415, 2196, 81, 6862, 81, 5983, 438, 1665, 44, 324, 2196, 81, 6862, 81, 5983, 280, 8145, 346, 291, 630, 32, 1696, 81, 6862, 81, 5983, 280, 2196, 81, 6862, 81, 5983, 291, 630, 1114, 426, 280, 1665, 291, 630, 1114, 3968, 280, 1665, 291, 630, 1114, 297, 81, 22115, 280, 1665, 291, 630, 32, 1285, 21999, 280, 1665, 291, 415, 636, 438, 646, 1665, 44, 324, 630, 32, 426, 280, 636, 291, 415, 5365, 438, 646, 1665, 44, 324, 630, 32, 3968, 280, 5365, 291, 415, 438, 81, 22115, 438, 646, 1665, 44, 324, 630, 32, 297, 81, 22115, 280, 438, 81, 22115, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 442, 630, 1114, 426, 284, 477, 426, 32, 16527, 284, 665, 636, 26, 784, 30, 636, 711, 291, 630, 1114, 426, 280, 636, 284, 477, 2433, 284, 665, 5365, 26, 784, 711, 291, 442, 630, 1114, 3968, 284, 477, 3968, 32, 16527, 284, 665, 5365, 26, 784, 30, 5365, 711, 291, 630, 1114, 3968, 280, 5365, 284, 477, 2433, 284, 665, 438, 81, 22115, 26, 784, 711, 291, 442, 630, 1114, 297, 81, 22115, 284, 477, 297, 81, 22115, 32, 16527, 284, 665, 438, 81, 22115, 26, 784, 30, 438, 81, 22115, 711, 291, 630, 1114, 297, 81, 22115, 280, 438, 81, 22115, 284, 665, 372, 81, 2665, 26, 784, 711, 291, 1056, 280, 2149, 291, 436, 5601, 30, 617, 328, 18792, 32, 40957, 26, 784, 32, 13933, 81, 2516, 711, 324, 786, 280, 18623, 26, 784, 30, 5601, 27, 324, 415, 6937, 26, 853, 30, 1149, 711, 400, 1056, 77, 2437, 79, 280, 1149, 26, 1110, 26, 528, 9254, 816, 44, 816, 32, 452, 81, 2665, 346, 415, 19326, 26, 106, 30, 313, 452, 81, 2665, 657, 813, 816, 30, 528, 786, 400, 9658, 324, 4348, 19326, 26, 853, 30, 313, 452, 81, 2665, 10280, 400, 1056, 77, 2437, 79, 280, 786, 32, 452, 81, 2665, 346, 324, 4348, 6937, 26, 853, 30, 5436, 711, 400, 1056, 77, 2437, 79, 280, 5436, 26, 1110, 26, 528, 9254, 1623, 44, 308, 1094, 77, 34, 614, 1623, 77, 35, 997, 452, 81, 2665, 1157, 528, 415, 19326, 26, 1094, 77, 35, 614, 313, 452, 81, 2665, 657, 813, 1623, 30, 528, 786, 32, 3028, 346, 400, 9658, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 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, 8, 8, 8, 8, 6, 8, 8, 8, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 6, 5, 6, 4, 3, 3, 5, 7, 7, 7, 7, 6, 6, 5, 5, 5, 9, 9, 9, 9, 8, 8, 10, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 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, 5, 6, 6, 6, 5, 5, 5, 9, 10, 8, 8, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 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, 8, 9, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 2, 2, 6, 6, 6, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 8, 9, 9, 9, 7, 7, 8, 8, 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 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 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, 1, 1, 1, 2, 5, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 0, 0, 9, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 6, 1, 1, 1, 6, 6, 6, 0, 2, 0, 0, 4, 4, 7, 1, 1, 1, 7, 7, 7, 0, 2, 0, 0, 4, 4, 8, 0, 0, 1, 1, 1, 8, 8, 8, 0, 2, 2, 2, 0, 0, 2, 2, 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, 2, 0, 0, 4, 4, 1, 7, 7, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 1, 2, 8, 8, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 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 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 1695, 40, 38, 203, 465, 31074, 203, 465, 35094, 203, 1070, 7138, 1188, 7138, 203, 465, 27374, 203, 1070, 48885, 39, 32, 30609, 1188, 1910, 12555, 30, 1910, 6421, 225, 203, 1070, 48885, 39, 32, 9071, 4711, 1188, 308, 284, 1910, 4711, 2791, 1572, 30, 284, 1910, 4711, 5392, 1625, 30, 284, 1910, 4711, 1104, 30, 284, 1910, 4711, 9259, 203, 27, 203, 1070, 8206, 13835, 32, 2958, 1188, 1245, 203, 1070, 44674, 32, 12561, 2304, 1188, 2678, 965, 36, 14510, 30, 27747, 81, 44842, 30, 622, 81, 1357, 81, 1840, 1744, 203, 1070, 44674, 32, 1357, 81, 11202, 1188, 308, 284, 399, 1199, 809, 11063, 30, 284, 38886, 25804, 11063, 30, 284, 38886, 46460, 11063, 30, 284, 4448, 11161, 11063, 30, 284, 399, 1199, 809, 9154, 5378, 30, 284, 6287, 4276, 11063, 30, 284, 5170, 3050, 15118, 11063, 30, 203, 27, 203, 1070, 44674, 32, 1986, 81, 11202, 1188, 38718, 11063, 203, 1070, 44674, 1188, 10071, 203, 1070, 44674, 32, 2304, 1188, 372, 81, 3651, 203, 1070, 44674, 32, 21326, 1188, 23768, 917, 10755, 20396, 203, 823, 8159, 47115, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 10582, 81, 983, 47, 2521, 30, 39451, 47, 2521, 30, 6660, 81, 3158, 7995, 47, 2521, 711, 291, 39451, 280, 10071, 32, 22841, 2636, 2917, 415, 39451, 438, 1665, 813, 39451, 291, 630, 32, 38974, 280, 39451, 291, 630, 32, 1357, 81, 10511, 22997, 280, 1605, 291, 630, 32, 1986, 81, 10511, 22997, 280, 1605, 291, 630, 32, 339, 1521, 81, 7004, 280, 1665, 291, 6660, 81, 3158, 7995, 280, 308, 10514, 32, 33891, 81, 20856, 4547, 940, 415, 6660, 81, 3158, 7995, 438, 1665, 6029, 813, 6660, 81, 3158, 7995, 32, 2998, 43061, 490, 291, 415, 6660, 81, 3158, 7995, 44, 324, 630, 32, 1357, 81, 10511, 22997, 32, 1689, 26, 400, 38886, 46460, 11063, 26, 11327, 81, 3158, 7995, 30, 39451, 47, 38974, 27, 324, 829, 291, 415, 630, 32, 38974, 2377, 225, 36, 44, 324, 630, 32, 1357, 81, 10511, 22997, 32, 1689, 26, 1104, 11161, 11063, 1157, 291, 630, 32, 1357, 81, 10511, 22997, 32, 1689, 26, 12759, 25804, 11063, 26, 38974, 47, 38974, 490, 291, 630, 32, 1357, 81, 10511, 22997, 32, 1689, 26, 2291, 4276, 11063, 1157, 291, 630, 32, 1357, 81, 10511, 22997, 32, 1689, 26, 14520, 15118, 11063, 1157, 291, 415, 10582, 81, 983, 438, 646, 1665, 44, 324, 630, 32, 339, 1521, 81, 7004, 280, 399, 1199, 809, 9154, 5378, 26, 9211, 81, 983, 30, 39451, 47, 38974, 27, 324, 630, 32, 1357, 81, 10511, 22997, 32, 1689, 26, 400, 399, 1199, 809, 11063, 26, 784, 32, 339, 1521, 81, 7004, 30, 39451, 47, 38974, 27, 324, 829, 291, 630, 32, 1986, 81, 10511, 22997, 32, 1689, 26, 14264, 11063, 26, 784, 32, 38974, 490, 284, 665, 1156, 1851, 3207, 784, 711, 291, 7884, 280, 23768, 917, 67, 4711, 2791, 1572, 26, 324, 1326, 81, 10511, 22997, 47, 784, 32, 1357, 81, 10511, 22997, 30, 324, 1789, 81, 10511, 22997, 47, 784, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 0, 1, 1, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 7, 7, 8, 8, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 7, 7, 6, 6, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 9, 9, 8, 8, 8, 11, 11, 11, 10, 11, 10, 10, 4, 4, 5, 6, 6, 6, 5, 5, 5, 10, 11, 11, 11, 11, 9, 10, 9, 9, 9, 11, 11, 11, 12, 12, 12, 12, 11, 11, 12, 13, 11, 9, 9, 4, 4, 5, 7, 8, 6, 6, 7, 5, 5, 5, 10, 11, 11, 11, 11, 9, 10, 9, 11, 11, 11, 11, 4, 4, 8, 9, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 10, 11, 9, 4, 4, 8, 9, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 4, 4, 8, 9, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 11, 12, 10, 6, 6, 10, 11, 11, 11, 11, 9, 10, 9, 9, 9, 11, 11, 11, 11, 13, 12, 13, 13, 13, 13, 11, 11, 12, 13, 11, 9, 9, 4, 4, 8, 9, 9, 9, 9, 7, 8, 7, 9, 9, 9, 11, 10, 11, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 9, 11, 10, 11, 11, 11, 11, 8, 8, 8, 10, 10, 10, 9, 11, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 2, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 9, 9, 1, 2, 2, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 10, 10, 1, 2, 2, 2, 10, 10, 10, 10, 0, 0, 0, 10, 10, 10, 0, 0, 10, 10, 10, 0, 0, 10, 10, 10, 0, 0, 10, 10, 10, 0, 0, 0, 0, 10, 10, 10, 0, 0, 10, 10, 10, 0, 0, 0, 10, 10, 10, 0, 11, 11, 1, 2, 2, 2, 11, 11, 0, 0, 12, 12, 12, 12, 0, 13, 13, 1, 2, 13, 13, 0, 0, 0, 14, 14, 1, 2, 14, 14, 0, 0, 0, 0, 15, 15, 1, 2, 1, 2, 15, 15, 0, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 0, 7, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 4, 4, 6, 1, 1, 1, 6, 6, 6, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 4, 4, 7, 0, 2, 1, 1, 2, 7, 7, 7, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 4, 4, 11, 0, 0, 1, 1, 1, 11, 11, 11, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 3, 3, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 3, 0, 2 ]
[ 465, 5237, 203, 13068, 26, 3731, 27, 203, 3731, 32, 37329, 8644, 463, 3310, 31, 42, 683, 203, 1070, 4942, 1188, 562, 203, 823, 1288, 107, 4430, 6453, 2262, 284, 2115, 81, 1553, 81, 108, 314, 10461, 280, 2107, 1831, 370, 656, 330, 5702, 370, 656, 330, 38655, 81, 4260, 512, 370, 656, 330, 1311, 25, 656, 1481, 284, 665, 1505, 81, 1831, 26, 784, 30, 1650, 466, 30, 1044, 466, 711, 291, 1524, 1831, 1591, 291, 415, 1044, 466, 461, 2069, 26, 10908, 711, 324, 415, 646, 562, 32, 2040, 81, 998, 81, 19080, 26, 10908, 30, 225, 35, 711, 400, 2152, 280, 1044, 25, 3047, 17730, 35994, 25, 291, 813, 44, 324, 2152, 280, 1044, 25, 23713, 25, 291, 442, 2152, 284, 665, 1505, 81, 5702, 26, 784, 30, 1650, 466, 30, 1044, 466, 711, 291, 1524, 5702, 41953, 232, 9837, 250, 17178, 2993, 291, 2152, 280, 343, 2069, 26, 10908, 711, 324, 415, 1044, 466, 646, 328, 562, 32, 32875, 521, 1955, 44, 400, 2152, 280, 1044, 25, 12538, 4686, 1077, 23703, 5189, 25, 324, 3097, 291, 813, 44, 324, 2152, 280, 1044, 25, 23713, 25, 291, 442, 2152, 284, 665, 1505, 81, 38655, 81, 4260, 512, 26, 784, 30, 1650, 466, 30, 1044, 466, 711, 291, 1524, 1409, 81, 1003, 41953, 232, 9837, 250, 17178, 2993, 291, 2152, 280, 1665, 291, 415, 37449, 261, 415, 646, 562, 32, 38655, 81, 4260, 512, 81, 770, 81, 1643, 26, 10908, 711, 400, 2152, 280, 1044, 20, 3047, 6338, 4686, 24804, 20, 291, 442, 2152, 284, 665, 1505, 81, 1311, 26, 784, 30, 1650, 466, 30, 1044, 466, 711, 291, 1524, 1311, 41953, 232, 9837, 250, 17178, 2993, 291, 2152, 280, 1665, 291, 415, 1044, 466, 461, 2069, 26, 10908, 711, 664, 12898, 32, 297, 81, 42220, 26, 85, 27, 436, 281, 328, 1044, 466, 711, 400, 2152, 280, 1044, 25, 11112, 35994, 25, 324, 4348, 646, 2069, 26, 10908, 27, 2377, 225, 39, 44, 400, 2152, 280, 1044, 25, 3047, 24751, 39, 2658, 5187, 35154, 25, 291, 442, 2152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 2, 2, 1, 4, 4, 5, 4, 1, 5, 4, 5, 5, 4, 6, 6, 6, 6, 1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 5, 5, 8, 8, 6, 6, 8, 8, 6, 6, 8, 8, 8, 8, 8, 6, 6, 8, 8, 6, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 4, 4, 4, 4, 7, 7, 8, 5, 5, 5, 9, 10, 10, 9, 6, 1, 1, 5, 5, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 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 ]
[ 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 0, 0, 2, 5, 5, 5, 0, 1, 1, 1, 1, 0, 0, 0, 2, 6, 1, 6, 3, 4, 6, 6, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5034, 18321, 203, 1070, 5034, 18321, 1188, 5034, 18321, 924, 203, 1070, 5034, 18321, 858, 1237, 32, 1617, 1188, 7176, 1803, 203, 1070, 5034, 18321, 858, 1237, 32, 2304, 1188, 8745, 203, 3648, 81, 2132, 280, 2726, 17020, 426, 370, 330, 13425, 370, 27, 203, 5301, 81, 2132, 280, 2149, 203, 589, 622, 81, 17020, 81, 639, 3225, 2740, 1132, 711, 284, 308, 17020, 426, 30, 4082, 27, 280, 2181, 284, 6424, 280, 8745, 32, 371, 81, 4722, 81, 4229, 81, 3225, 26, 17020, 426, 27, 284, 4082, 32, 2811, 440, 17020, 6424, 2965, 44, 904, 101, 20, 904, 6424, 27, 284, 4749, 3225, 280, 8745, 32, 4229, 81, 452, 81, 639, 26, 4229, 30, 225, 35, 39, 27, 284, 4082, 32, 2811, 440, 17020, 4749, 2965, 44, 904, 101, 20, 904, 4749, 3225, 27, 284, 415, 8745, 32, 1409, 81, 7075, 26, 639, 3225, 30, 225, 36, 34, 27, 610, 225, 35, 44, 291, 4082, 32, 1338, 440, 7075, 1550, 21578, 3117, 2620, 657, 291, 442, 4749, 3225, 284, 813, 44, 291, 4082, 32, 731, 440, 924, 44, 883, 1330, 17007, 1550, 21578, 657, 291, 442, 1665, 203, 589, 1505, 81, 17020, 81, 1517, 2740, 1132, 711, 284, 308, 4722, 2067, 30, 4082, 27, 280, 2181, 284, 1603, 280, 7581, 2067, 32, 1338, 8532, 34, 79, 284, 4082, 32, 2811, 440, 1700, 21578, 2287, 44, 904, 101, 20, 904, 1603, 27, 284, 415, 1603, 610, 5034, 18321, 32, 72, 3900, 81, 16799, 81, 48682, 6664, 556, 766, 1568, 1603, 610, 5034, 18321, 32, 72, 3900, 81, 16799, 81, 48682, 10445, 556, 766, 1568, 1603, 610, 5034, 18321, 32, 72, 3900, 81, 16799, 81, 10322, 1345, 44, 291, 442, 3177, 284, 813, 44, 291, 442, 2933, 203, 589, 1505, 81, 17020, 81, 2853, 2740, 1132, 711, 284, 308, 17020, 426, 30, 7581, 2067, 30, 4082, 27, 280, 2181, 284, 415, 646, 1505, 81, 17020, 81, 1517, 26, 4722, 2067, 30, 4082, 711, 291, 415, 646, 622, 81, 17020, 81, 639, 3225, 26, 17020, 426, 30, 4082, 711, 324, 442, 2933, 291, 813, 44, 324, 442, 3177, 284, 813, 44, 291, 442, 3177, 203, 589, 4131, 26, 2132, 711, 284, 4082, 280, 2803, 710, 4073, 785, 284, 21578, 426, 280, 2803, 710, 17020, 426, 785, 284, 16765, 280, 2803, 710, 13425, 785, 284, 4567, 280, 7176, 1803, 32, 1356, 1848, 452, 13110, 710, 3781, 785, 284, 7581, 2067, 280, 4567, 32, 10122, 9813, 26, 17020, 426, 27, 284, 4749, 3225, 280, 622, 81, 17020, 81, 639, 3225, 26, 17020, 426, 30, 4082, 27, 284, 415, 646, 1505, 81, 17020, 81, 1517, 26, 4722, 2067, 30, 4082, 711, 291, 4082, 32, 731, 440, 924, 44, 1550, 21578, 2287, 438, 787, 17071, 657, 291, 442, 225, 35, 284, 415, 646, 4749, 3225, 44, 291, 4082, 32, 731, 440, 924, 44, 883, 1330, 622, 21578, 4749, 2965, 657, 291, 442, 225, 35, 284, 1596, 44, 291, 7581, 2067, 32, 2853, 26, 13425, 27, 291, 415, 1505, 81, 17020, 81, 2853, 26, 17020, 426, 30, 7581, 2067, 30, 4082, 711, 324, 4082, 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, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 3, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 6, 6, 5, 5, 5, 4, 4, 2, 2, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 6, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 2, 2, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 6, 7, 7, 6, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 5, 2, 2, 3, 6, 7, 7, 7, 6, 7, 7, 6, 6, 7, 7, 6, 4, 4, 5, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 3, 3, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 0, 1, 1, 2, 2, 2, 2, 2, 4, 2, 1, 1, 6, 6, 5, 5, 5, 4, 4, 2, 2, 4, 4, 8, 7, 8, 7, 6, 5, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 2, 2, 3, 6, 6, 8, 7, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 5, 6, 6, 8, 7, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 4, 5, 5, 7, 6, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 5, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 2, 4, 2, 1, 1, 6, 6, 5, 5, 6, 5, 5, 5, 4, 4, 2, 2, 3, 4, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 3, 3, 5, 6, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 5, 5, 7, 5, 5, 6, 6, 6, 8, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 5, 7, 7, 2, 2, 5, 4, 4, 5, 7, 7, 7, 2, 2, 4, 4, 5, 7, 7, 2, 2, 4, 4, 7, 6, 7, 7, 7, 7, 5, 7, 7, 2, 2, 5, 4, 4, 6, 7, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 2, 2, 3, 4, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 2, 2, 3, 4, 5, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 2, 2, 3, 3, 3, 8, 7, 8, 7, 8, 7, 4, 4, 5, 7, 7, 7, 7, 7, 8, 8, 7, 7, 8, 7, 7, 7, 5, 5, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 5, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 5, 5, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 1, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 3, 3, 4, 4, 4, 0, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 1, 1, 0, 0, 3, 0, 0, 0, 0, 0, 4, 4, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 4, 4, 4, 0, 1, 1, 4, 4, 4, 0, 0, 10, 10, 2, 1, 2, 10, 10, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 4, 4, 7, 1, 1, 7, 7, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 4, 4, 8, 8, 8, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 0 ]
[ 465, 6436, 619, 2065, 203, 589, 22152, 2262, 284, 3380, 280, 225, 34, 284, 1869, 2372, 280, 225, 34, 284, 2218, 3380, 333, 225, 35, 44, 291, 3380, 1454, 2065, 32, 3855, 32, 3855, 346, 291, 1869, 2372, 1454, 225, 35, 284, 442, 1869, 2372, 203, 589, 2575, 2262, 284, 310, 280, 225, 35, 34, 34, 34, 34, 34, 34, 34, 284, 39996, 81, 601, 280, 308, 2356, 32, 6009, 2009, 22402, 346, 436, 617, 328, 2155, 26, 96, 45917, 284, 442, 81, 267, 81, 43187, 280, 225, 35, 34, 34, 319, 39996, 81, 601, 284, 1459, 26, 601, 81, 267, 81, 43187, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 2575, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 4, 4, 5, 2, 2, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 6, 6, 7, 2, 2, 3, 4, 0, 1, 1, 2, 1, 1, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 8, 7, 8, 7, 10, 10, 8, 9, 9, 9, 11, 12, 11, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 6, 6, 2, 2, 5, 6, 6, 6, 6, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 3, 3, 0, 0, 0, 2, 4, 4, 3, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 36287, 1188, 2908, 81, 452, 81, 1986, 30, 622, 81, 1473, 81, 271, 81, 38, 34, 38, 203, 1070, 8527, 32, 2387, 1188, 4448, 1222, 203, 1070, 8527, 32, 1262, 32, 39531, 1188, 21731, 9693, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 17874, 11445, 203, 1070, 22045, 1188, 707, 7345, 203, 1070, 26435, 3034, 32, 1217, 1188, 7422, 1625, 885, 203, 1070, 10869, 32, 3378, 1188, 319, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 1910, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 1262, 32, 2613, 1188, 3320, 203, 465, 316, 203, 23763, 81, 3687, 81, 12908, 280, 225, 39, 34, 203, 589, 617, 1903, 81, 800, 26, 1357, 711, 284, 442, 1326, 32, 2788, 32, 371, 463, 99, 370, 1665, 27, 203, 589, 617, 1903, 81, 8395, 26, 1357, 711, 284, 309, 280, 617, 1903, 81, 800, 26, 1357, 27, 284, 415, 309, 438, 1665, 44, 291, 442, 1605, 284, 316, 81, 27974, 280, 316, 32, 6993, 26, 100, 25, 41727, 105, 78, 86, 78, 101, 6945, 7646, 9841, 5327, 21194, 22, 16249, 316, 32, 59, 27, 284, 309, 280, 316, 81, 27974, 32, 1113, 22869, 309, 27, 284, 7937, 280, 1605, 284, 316, 81, 25072, 280, 316, 32, 6993, 26, 100, 25, 1492, 2009, 14747, 1446, 24913, 1492, 683, 284, 436, 345, 328, 316, 81, 25072, 32, 32852, 26, 101, 711, 291, 7937, 32, 1689, 26, 95, 32, 3227, 33103, 1195, 1814, 7201, 1157, 20216, 309, 280, 309, 32, 3227, 463, 15860, 101, 14891, 904, 345, 30, 9142, 284, 436, 273, 328, 309, 32, 2998, 463, 330, 711, 291, 7937, 32, 1689, 26, 102, 32, 7201, 1157, 284, 2218, 4247, 328, 7937, 44, 291, 7937, 32, 2546, 25416, 284, 442, 7937, 203, 589, 617, 6580, 26, 878, 30, 7937, 711, 284, 9667, 307, 280, 1605, 284, 8594, 81, 8395, 280, 8594, 26, 8395, 30, 1202, 47, 5962, 816, 44, 2069, 26, 106, 490, 284, 436, 273, 328, 8594, 81, 8395, 44, 291, 9667, 307, 32, 1689, 26, 268, 32, 6993, 26, 100, 25, 7846, 101, 9905, 904, 273, 32, 3227, 463, 5769, 540, 10255, 101, 29, 1425, 316, 32, 59, 490, 284, 436, 540, 328, 9667, 307, 44, 291, 1344, 280, 540, 32, 1113, 10385, 662, 443, 347, 6580, 413, 1736, 35, 377, 662, 10154, 1344, 27, 284, 442, 1344, 203, 589, 617, 9266, 81, 3631, 81, 1070, 81, 9534, 26, 1357, 30, 11078, 81, 426, 30, 1411, 47, 2521, 711, 284, 415, 1411, 610, 330, 1526, 950, 291, 11078, 280, 707, 7345, 26, 1357, 32, 3705, 32, 371, 26, 9534, 81, 426, 30, 330, 12097, 3227, 12573, 29062, 5769, 683, 284, 813, 44, 291, 11078, 280, 707, 7345, 26, 1357, 32, 1197, 2950, 12145, 32, 371, 26, 9534, 81, 426, 1947, 12097, 3227, 12573, 29062, 5769, 683, 284, 1459, 11078, 284, 415, 2069, 26, 9534, 11060, 35, 44, 291, 415, 11078, 77, 34, 22633, 370, 950, 324, 11078, 280, 11078, 77, 35, 10056, 291, 415, 11078, 6448, 35, 22633, 370, 950, 324, 11078, 280, 11078, 20129, 35, 79 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 7, 7, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 8, 6, 2, 2, 4, 4, 7, 7, 6, 7, 6, 6, 6, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 3, 6, 6, 5, 6, 5, 6, 5, 3, 3, 7, 8, 7, 12, 11, 12, 11, 13, 13, 10, 9, 4, 4, 6, 6, 8, 9, 8, 11, 11, 11, 9, 9, 8, 8, 2, 2, 3, 3, 3, 5, 6, 5, 7, 5, 3, 3, 7, 8, 7, 10, 9, 10, 9, 2, 2, 3, 4, 4, 3, 3, 3, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 7, 8, 8, 8, 8, 10, 11, 10, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 8, 7, 8, 7, 10, 9, 10, 9, 12, 12, 12, 12, 12, 10, 10, 12, 13, 12, 14, 12, 14, 14, 14, 14, 9, 10, 11, 9, 2, 2, 3, 3, 3, 4, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 8, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 6, 6, 3, 3, 6, 6, 10, 10, 14, 13, 14, 12, 13, 12, 13, 13, 13, 12, 12, 14, 9, 8, 10, 8, 10, 3, 3, 4, 4, 4, 7, 7, 11, 11, 15, 14, 15, 15, 15, 13, 14, 13, 14, 14, 14, 13, 15, 10, 9, 11, 9, 11, 2, 2, 3, 2, 2, 3, 6, 7, 6, 5, 3, 3, 3, 5, 7, 8, 7, 8, 8, 5, 5, 8, 8, 9, 11, 10, 4, 4, 5, 7, 9, 7, 8, 8, 5, 5, 8, 8, 9, 12, 9 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 0, 4, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 1, 4, 4, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 12, 12, 1, 1, 1, 2, 1, 2, 12, 12, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 13, 13, 1, 1, 1, 2, 1, 2, 13, 13, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 6, 6, 0, 0, 0, 2, 1, 1, 1, 6, 6, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 7, 7, 0, 2, 1, 1, 1, 7, 7, 0, 2, 1, 0, 0, 2, 1, 4, 4, 8, 1, 1, 8, 8, 8, 0, 2, 1, 4, 4, 9, 0, 14, 14, 1, 2, 1, 2, 2, 2, 14, 14, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 3, 2, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 15, 15, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 15, 15, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 3, 3, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 7138, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 465, 8527, 32, 1199, 32, 3378, 32, 30550, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 2815, 280, 2933, 284, 6440, 280, 428, 291, 2726, 16845, 370, 330, 34, 34, 34, 35, 81, 4332, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 1104, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 2837, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 1311, 370, 4549, 32, 10215, 26, 1536, 47, 84, 25, 620, 1370, 1780, 2442, 13356, 400, 2726, 2310, 370, 4549, 32, 10215, 26, 1536, 47, 84, 25, 620, 1370, 3048, 2442, 13356, 400, 2726, 6946, 370, 4549, 32, 16357, 26, 19833, 6020, 26, 84, 25, 903, 12691, 370, 323, 25, 903, 12691, 1425, 308, 84, 25, 3437, 6803, 370, 323, 25, 3437, 6803, 36977, 1244, 47, 84, 25, 903, 12691, 370, 1769, 81, 1322, 47, 36, 39, 3662, 400, 2726, 9749, 370, 4549, 32, 16357, 26, 19833, 6020, 26, 84, 25, 903, 12691, 370, 323, 25, 903, 12691, 1425, 308, 84, 25, 3437, 6803, 370, 323, 25, 3437, 6803, 36977, 1244, 47, 84, 25, 903, 12691, 370, 1769, 81, 1322, 47, 36, 39, 3662, 400, 2726, 770, 81, 4524, 370, 4549, 32, 36172, 26, 5006, 47, 1815, 30, 1244, 47, 6665, 32, 6665, 32, 2174, 3662, 400, 2726, 5512, 2487, 370, 4549, 32, 13343, 26, 5006, 47, 1815, 30, 744, 47, 1815, 30, 544, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 28781, 30, 5886, 81, 426, 1057, 9698, 370, 372, 1057, 16845, 32, 4290, 13356, 400, 2726, 8262, 370, 4549, 32, 13343, 26, 267, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 28781, 30, 5886, 81, 426, 1057, 5914, 81, 1070, 370, 372, 1057, 16845, 32, 4290, 13356, 324, 2505, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 15, 17, 17, 17, 17, 17, 15, 17, 17, 17, 17, 14, 17, 17, 17, 17, 17, 15, 17, 17, 17, 17, 12, 13, 15, 15, 15, 15, 15, 12, 14, 14, 13, 14, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 15, 17, 17, 17, 17, 17, 15, 17, 17, 17, 17, 14, 17, 17, 17, 17, 17, 15, 17, 17, 17, 17, 12, 13, 15, 15, 15, 15, 15, 12, 14, 14, 13, 14, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 13, 16, 15, 16, 14, 15, 12, 9, 9, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 18, 17, 18, 16, 17, 15, 16, 14, 15, 12, 12, 14, 14, 13, 15, 15, 12, 13, 15, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 18, 17, 18, 16, 17, 15, 16, 14, 15, 12, 12, 14, 14, 13, 15, 15, 15, 15, 12, 13, 15, 15, 15, 15, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 2, 3, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 3, 0, 1, 1, 2, 1, 3, 0, 0, 1, 1, 2, 1, 0, 0, 5, 2, 2, 1, 2, 2, 1, 2, 9, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 3, 0, 1, 1, 2, 1, 3, 0, 0, 1, 1, 2, 1, 0, 0, 5, 2, 2, 1, 2, 2, 1, 1, 1, 2, 11, 0, 2, 1, 0, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 13, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 7, 1, 2, 1, 9, 1, 1, 1, 2, 2, 2, 1, 2, 15, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 823, 4004, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 1459, 2884, 1251, 4374, 657, 284, 665, 5713, 26, 784, 711, 291, 3097, 284, 665, 2519, 26, 784, 30, 4845, 47, 3731, 32, 9362, 30, 3401, 47, 34, 30, 5601, 4243, 47, 2700, 30, 27283, 2004, 101, 47, 2700, 30, 2519, 5685, 47, 2700, 30, 617, 1772, 81, 1251, 81, 426, 47, 2521, 711, 291, 16190, 280, 330, 330, 319, 3401, 291, 415, 27283, 2004, 101, 461, 617, 1772, 81, 1251, 81, 426, 438, 646, 1665, 44, 324, 4845, 32, 1821, 26, 18637, 474, 630, 3667, 823, 29215, 426, 505, 29, 330, 333, 25, 474, 617, 1772, 81, 1251, 81, 426, 474, 330, 4235, 11134, 291, 813, 44, 324, 4845, 32, 1821, 26, 18637, 474, 630, 3667, 823, 29215, 426, 505, 29, 14589, 11134, 291, 415, 630, 32, 2437, 81, 4243, 44, 324, 415, 5601, 4243, 44, 400, 26446, 668, 280, 10440, 96, 30, 18623, 26, 784, 30, 96, 490, 436, 310, 328, 630, 32, 2437, 81, 4243, 79, 400, 5601, 466, 280, 5769, 5608, 2524, 15339, 101, 6132, 101, 25, 904, 26446, 436, 26446, 328, 26446, 668, 27, 324, 813, 44, 400, 354, 668, 280, 428, 32110, 26, 784, 30, 310, 27, 436, 310, 328, 630, 32, 2437, 81, 4243, 79, 400, 5601, 466, 280, 5769, 5608, 2524, 15339, 101, 25, 904, 354, 436, 354, 328, 354, 668, 27, 324, 4845, 32, 1821, 26, 2437, 466, 27, 291, 415, 2519, 5685, 44, 324, 4845, 32, 1821, 463, 308, 269, 904, 101, 9905, 904, 630, 32, 5685, 27, 291, 4845, 32, 1821, 9442, 96, 683, 291, 436, 308, 2661, 81, 426, 30, 2838, 27, 328, 630, 32, 4915, 2262, 324, 2838, 32, 2245, 26, 400, 4845, 30, 400, 3401, 47, 2881, 474, 225, 36, 30, 400, 5601, 4243, 47, 2437, 4243, 30, 400, 27283, 2004, 101, 47, 15604, 2004, 101, 30, 400, 2519, 5685, 47, 2245, 5685, 30, 400, 617, 1772, 81, 1251, 81, 426, 47, 2661, 81, 426, 27, 203, 823, 2629, 620, 10367, 26, 1212, 711, 284, 665, 1156, 1664, 3207, 784, 30, 7247, 30, 827, 30, 8742, 711, 291, 630, 32, 6068, 280, 7247, 291, 630, 32, 681, 280, 827, 291, 630, 32, 11694, 280, 8742, 284, 665, 5713, 26, 784, 711, 291, 1541, 668, 280, 1605, 291, 415, 630, 32, 681, 438, 646, 1665, 44, 1541, 668, 32, 1689, 26146, 681, 392, 630, 32, 681, 490, 291, 415, 630, 32, 6068, 438, 646, 1665, 44, 1541, 668, 32, 1689, 26146, 6068, 392, 630, 32, 6068, 490, 291, 442, 8825, 26, 1251, 668, 27, 284, 5601, 81, 4243, 280, 2726, 11694, 370, 27, 203, 823, 9957, 26, 1212, 711, 284, 665, 1156, 1664, 3207, 784, 30, 7247, 30, 636, 711, 291, 630, 32, 6068, 280, 7247, 291, 630, 32, 426, 280, 636, 284, 665, 5713, 26, 784, 711, 291, 1541, 668, 280, 1605, 291, 415, 630, 32, 426, 438, 646, 1665, 44, 1541, 668, 32, 1689, 26146, 426, 392, 630, 32, 426, 490, 291, 415, 630, 32, 6068, 438, 646, 1665, 44, 1541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 6, 9, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 5, 7, 6, 7, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 6, 6, 6, 6, 5, 6, 4, 3, 3, 6, 6, 9, 7, 7, 4, 4, 5, 7, 7, 6, 6, 8, 8, 8, 8, 8, 7, 7, 7, 5, 5, 5, 9, 10, 9, 14, 13, 13, 15, 16, 16, 15, 15, 12, 12, 14, 14, 11, 11, 12, 12, 12, 12, 12, 10, 10, 12, 12, 5, 5, 6, 6, 6, 10, 11, 10, 13, 12, 12, 14, 15, 15, 14, 14, 11, 11, 13, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 7, 8, 7, 7, 7, 11, 10, 10, 13, 12, 12, 14, 15, 14, 15, 14, 11, 12, 12, 12, 13, 14, 14, 14, 11, 8, 8, 11, 10, 10, 14, 13, 12, 15, 15, 15, 15, 13, 13, 12, 13, 13, 13, 14, 12, 7, 7, 8, 8, 8, 12, 11, 11, 14, 14, 15, 14, 14, 14, 12, 13, 13, 13, 14, 15, 15, 15, 12, 9, 9, 12, 11, 11, 15, 14, 13, 16, 16, 14, 14, 13, 14, 14, 14, 15, 13, 6, 6, 9, 10, 9, 10, 10, 9, 4, 4, 5, 6, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 10, 10, 11, 12, 9, 4, 4, 7, 8, 7, 10, 9, 4, 4, 5, 7, 7, 7, 6, 6, 6, 5, 5, 7, 8, 7, 5, 5, 9, 10, 9, 9, 9, 9, 9, 9, 10, 12, 11, 11, 12, 9, 9, 9, 11, 10, 11, 11, 9, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 9, 11, 10, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 10, 11, 11, 11, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 6, 6, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 10, 9, 10, 9, 12, 12, 10, 11, 12, 10, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 10, 9, 10, 9, 12, 12, 10, 11, 12, 10, 4, 4, 5, 7, 8, 8, 7, 2, 2, 5, 5, 4, 4, 7, 7, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 6, 6, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 10, 9, 10, 9, 12, 12, 10, 11, 12, 10, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5 ]
[ 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 4, 4, 2, 2, 1, 2, 2, 3, 0, 2, 2, 2, 2, 5, 2, 2, 2, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 11, 2, 2, 2, 0, 0, 0, 0, 0, 13, 2, 2, 2, 2, 0, 0, 1, 2, 2, 4, 4, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 1, 3, 3, 0, 2, 1, 1, 1, 1, 4, 4, 3, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 2, 1, 1, 1, 0, 5, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 0, 9, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 11, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 3, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 2, 2, 0, 3, 3, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2 ]
[ 465, 29252, 331, 2323, 36, 203, 465, 2361, 203, 1070, 13568, 604, 1188, 3829, 30, 4549, 30, 8684, 203, 1070, 13568, 604, 32, 23403, 32, 2292, 32, 1262, 1188, 7400, 1722, 203, 1070, 1619, 1356, 1188, 1619, 4018, 203, 1070, 13568, 604, 32, 23403, 32, 11628, 32, 3893, 1188, 308, 12355, 444, 3782, 924, 30, 829, 203, 465, 13568, 604, 203, 823, 551, 15130, 14386, 26, 5584, 1722, 711, 284, 617, 426, 280, 330, 1439, 32, 33481, 32, 27686, 25, 284, 617, 6815, 280, 330, 1439, 32, 33481, 25, 284, 617, 1536, 81, 9986, 81, 1495, 280, 330, 1271, 91, 2776, 91, 81, 2539, 81, 3631, 25, 284, 617, 6173, 81, 2751, 81, 1495, 280, 330, 6173, 81, 314, 81, 2751, 25, 284, 617, 431, 604, 81, 7615, 81, 4151, 280, 1605, 284, 477, 1819, 4018, 284, 665, 617, 13558, 81, 5665, 81, 46563, 26, 784, 711, 291, 1596, 44, 324, 6761, 291, 2940, 29252, 331, 2323, 36, 32, 9191, 543, 924, 619, 1137, 44, 324, 415, 1137, 32, 2323, 687, 610, 29252, 331, 2323, 36, 32, 731, 7787, 32, 34633, 81, 11276, 1752, 2893, 44, 400, 3636, 27507, 444, 3782, 924, 26, 528, 330, 51, 3500, 1048, 16268, 322, 7829, 432, 322, 3992, 3491, 96, 25, 528, 6611, 101, 78, 96, 78, 96, 25, 528, 330, 27691, 3128, 7254, 372, 225, 36, 22493, 13179, 2637, 299, 372, 1487, 330, 528, 330, 1382, 2432, 3627, 32, 886, 3992, 1098, 526, 43664, 6125, 4564, 904, 1137, 27, 324, 813, 44, 400, 3636, 284, 665, 617, 297, 81, 9986, 26, 784, 30, 9468, 711, 291, 1596, 44, 324, 9468, 1114, 4151, 77, 784, 1114, 431, 604, 81, 1495, 79, 291, 2940, 25085, 44, 324, 442, 3177, 291, 442, 2933, 284, 665, 617, 1809, 81, 9986, 26, 784, 30, 14772, 30, 9468, 81, 7615, 81, 9359, 19704, 711, 291, 415, 630, 1114, 297, 81, 9986, 26, 12610, 711, 324, 3636, 3268, 440, 1318, 1914, 1300, 904, 101, 2298, 646, 526, 312, 9468, 20, 904, 14772, 32, 1160, 1114, 426, 27, 291, 415, 646, 739, 26, 784, 1114, 431, 604, 81, 7615, 81, 4151, 547, 297, 19113, 26, 470, 26, 9986, 81, 7615, 81, 9359, 32, 3494, 5156, 44, 324, 3636, 3268, 440, 2797, 617, 431, 604, 81, 7615, 81, 4151, 884, 3417, 904, 101, 30, 313, 1014, 313, 9619, 2298, 6377, 322, 2646, 1069, 267, 2414, 9468, 81, 7615, 81, 9359, 904, 101, 20, 904, 308, 1378, 630, 1114, 431, 604, 81, 7615, 81, 4151, 30, 9468, 81, 7615, 81, 9359, 490, 291, 5880, 280, 10440, 784, 1114, 431, 604, 81, 1495, 30, 16509, 14772, 32, 314, 471, 1750, 308, 784, 1114, 7878, 81, 1495, 30, 16509, 630, 32, 7878, 81, 4133, 32, 314, 2177, 291, 436, 296, 328, 630, 1114, 431, 604, 81, 7615, 81, 4151, 44, 324, 5880, 32, 1689, 1162, 88, 30, 16509, 9468, 81, 7615, 81, 9359, 77, 88, 5259, 291, 9468, 280, 630, 32, 1160, 32, 1793, 81, 1819, 26, 324, 4523, 81, 858, 47, 2700, 547, 1903, 26, 4116, 27, 291, 415, 9468, 44, 324, 9468, 32, 12830, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 6, 6, 6, 7, 10, 10, 10, 9, 10, 10, 10, 8, 8, 7, 7, 7, 9, 11, 12, 12, 10, 10, 13, 13, 13, 12, 13, 13, 11, 12, 12, 12, 12, 12, 9, 9, 9, 11, 13, 13, 13, 13, 13, 13, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 17, 15, 15, 17, 18, 18, 18, 18, 17, 15, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 15, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 14, 14, 13, 9, 9, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 9, 10, 8, 10, 9, 10, 10, 10, 10, 8, 5, 5, 6, 6, 6, 6, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 6, 6, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 13, 11, 12, 9, 4, 4, 5, 6, 10, 12, 11, 12, 12, 12, 12, 12, 12, 10, 9, 9, 8, 10, 10, 13, 13, 13, 13, 13, 12, 13, 12, 5, 5, 5, 7, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 11, 11, 12, 13, 13, 13, 13, 13, 13, 11, 11, 12, 12, 12, 12, 11, 4, 4, 6, 6, 10, 9, 10, 10, 10, 10, 8, 8, 8, 9, 10, 8, 7, 7, 10, 9, 10, 10, 10, 8, 8, 8, 10, 11, 11, 11, 9, 10, 8, 4, 4, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 9, 10, 9, 11, 10, 10, 10, 12, 12, 12, 12, 11, 12, 11, 4, 4, 6, 6, 11, 12, 10, 11, 11, 11, 10, 10, 10, 12, 12, 11, 12, 10, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 9, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 0, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 3, 3, 3, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 7, 7, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 4, 4, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 5, 2, 1, 2, 2, 0, 1, 2, 2, 2, 3, 3, 3, 0, 2, 2, 2, 5, 2, 3, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 5, 2, 5, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 4, 4, 5, 5, 5, 5, 0, 2, 2 ]
[ 465, 5237, 203, 465, 2322, 32, 983, 203, 1070, 5741, 1188, 7893, 30, 25151, 30, 9935, 30, 9399, 203, 465, 1133, 203, 465, 3995, 203, 1070, 13625, 1188, 31466, 203, 1270, 44, 334, 1188, 34021, 35485, 81, 2846, 203, 7343, 29986, 44, 334, 5237, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 16329, 9897, 15852, 35485, 81, 2846, 14036, 334, 1188, 34021, 35485, 81, 2846, 203, 1070, 34021, 35485, 81, 2846, 32, 1521, 1188, 319, 203, 1070, 34021, 35485, 81, 2846, 32, 23434, 1188, 319, 203, 823, 7819, 20699, 924, 26, 984, 711, 334, 3097, 203, 823, 3846, 37519, 2759, 26, 984, 711, 334, 665, 1156, 1664, 3207, 784, 30, 354, 711, 284, 3268, 3667, 1664, 3207, 784, 30, 313, 882, 6611, 101, 25, 646, 2431, 328, 7819, 20, 904, 354, 27, 284, 630, 32, 104, 280, 354, 203, 823, 3833, 81, 23434, 26, 20699, 711, 334, 477, 17614, 334, 665, 2815, 81, 15752, 26, 6933, 30, 1359, 711, 284, 415, 6937, 26, 1163, 1365, 1251, 81, 681, 9557, 1132, 3439, 1149, 711, 397, 1201, 26, 1657, 26, 1163, 1365, 1251, 81, 681, 9557, 1132, 6890, 2377, 1359, 1365, 5459, 6890, 397, 442, 428, 1163, 1365, 1251, 81, 681, 9557, 1132, 15544, 91, 79, 436, 595, 328, 2155, 26, 1163, 1365, 5459, 6890, 79, 284, 813, 44, 397, 442, 428, 1163, 1365, 1251, 81, 681, 9557, 1132, 1446, 436, 595, 328, 2155, 26, 1163, 1365, 5459, 6890, 79, 334, 665, 544, 81, 944, 26, 784, 30, 1359, 711, 284, 630, 32, 5459, 280, 1359, 1365, 5459, 1446, 284, 630, 32, 1163, 280, 1359, 284, 630, 32, 23434, 81, 1495, 280, 1359, 1365, 23434, 81, 1495, 1446, 284, 630, 32, 669, 81, 625, 440, 1131, 392, 8437, 32, 26098, 30, 8437, 32, 1413, 36980, 30, 11544, 284, 630, 32, 669, 81, 625, 440, 1131, 81, 1217, 392, 8437, 32, 15013, 30, 8437, 32, 1413, 36980, 30, 11544, 284, 630, 32, 1495, 81, 452, 81, 1251, 81, 9387, 280, 2149, 284, 630, 32, 1436, 81, 10410, 280, 1605, 284, 436, 595, 328, 2155, 26, 1163, 1365, 5459, 1446, 711, 397, 1541, 81, 1338, 280, 1359, 1365, 1251, 81, 681, 9557, 1132, 15544, 91, 79, 397, 415, 646, 1541, 81, 1338, 32, 2040, 81, 678, 440, 23434, 81, 1495, 81, 853, 10280, 291, 3636, 7819, 20699, 924, 440, 20699, 904, 86, 5816, 24597, 81, 1495, 81, 853, 2804, 20, 904, 595, 27, 397, 354, 280, 1541, 81, 1338, 1365, 23434, 81, 1495, 81, 853, 1446, 397, 415, 630, 32, 1495, 81, 452, 81, 1251, 81, 9387, 32, 2040, 81, 678, 26, 104, 711, 291, 3636, 7819, 20699, 924, 440, 20699, 1401, 4609, 5166, 3417, 436, 1600, 786, 904, 101, 20, 904, 6035, 354, 27, 397, 630, 32, 1495, 81, 452, 81, 1251, 81, 9387, 77, 104, 79, 280, 595, 397, 630, 32, 1436, 81, 10410, 32, 1689, 26, 34, 27, 284, 630, 32, 751, 26, 1589, 30, 313, 1495, 372, 1541, 7996, 44, 904, 100, 20, 904, 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, 0, 1, 1, 2, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 5, 5, 5, 1, 2, 2, 2, 2, 2, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 14, 13, 14, 12, 13, 12, 13, 13, 10, 10, 12, 12, 12, 12, 12, 3, 3, 4, 6, 6, 6, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 8, 11, 10, 12, 12, 12, 12, 11, 11, 8, 8, 6, 6, 9, 12, 12, 15, 14, 16, 16, 16, 16, 15, 15, 10, 10, 11, 13, 13, 7, 7, 8, 13, 12, 14, 14, 14, 14, 13, 13, 11, 10, 9, 10, 10, 10, 12, 14, 13, 15, 15, 9, 6, 6, 7, 7, 7, 9, 13, 12, 14, 14, 14, 14, 13, 13, 10, 11, 11, 11, 13, 15, 14, 16, 16, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 8, 9, 7, 7, 8, 9, 9, 7, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 8, 9, 7, 7, 8, 9, 9, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 5, 5, 7, 9, 8, 10, 10, 7, 5, 5, 9, 9, 8, 8, 11, 13, 13, 13, 13, 12, 12, 10, 9, 6, 6, 7, 8, 11, 11, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 7, 7, 9, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 11, 6, 6, 8, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 6, 6, 7, 10, 11, 11, 11, 11, 11, 11, 11, 9, 10, 10, 10, 9, 10, 9, 7, 7, 9, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 12, 11, 6, 6, 10, 11, 11, 11, 11, 11, 11, 11, 9, 10, 9, 8, 8, 6, 6, 10, 11, 11, 11, 9, 10, 9, 10, 9, 4, 4, 7, 8, 7, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8 ]
[ 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 0, 0, 7, 7, 0, 0, 0, 1, 2, 7, 7, 0, 8, 8, 0, 0, 0, 1, 2, 8, 8, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 0, 2, 0, 0, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 3, 3, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 7, 7, 7, 1, 0, 1, 1, 2, 1, 7, 7, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 5, 5, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 5, 5, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 5, 5, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3 ]