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

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
depths
listlengths
512
512
sibling_idxs
listlengths
512
512
[ 465, 15798, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 358, 352, 8328, 2406, 3774, 203, 1070, 8527, 32, 858, 32, 1580, 1188, 4448, 2214, 203, 1070, 4527, 32, 1357, 1188, 8419, 81, 314, 81, 1070, 81, 965, 30, 10061, 81, 371, 81, 2035, 203, 823, 5170, 7233, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1397, 7233, 30, 630, 547, 23741, 346, 291, 630, 32, 1455, 81, 2851, 81, 426, 280, 4070, 32, 24819, 81, 2474, 291, 630, 32, 1455, 81, 11327, 81, 15934, 280, 4070, 32, 33891, 81, 8472, 69, 284, 665, 28921, 26, 784, 711, 291, 2599, 26, 1397, 7233, 30, 630, 547, 519, 282, 3211, 346, 291, 4070, 32, 24819, 81, 2474, 280, 630, 32, 1455, 81, 2851, 81, 426, 291, 4070, 32, 33891, 81, 8472, 69, 280, 630, 32, 1455, 81, 11327, 81, 15934, 284, 665, 894, 81, 4770, 81, 371, 81, 2035, 26, 784, 711, 291, 4070, 32, 24819, 81, 2474, 280, 330, 2851, 558, 32, 508, 25, 291, 7763, 280, 4448, 2214, 346, 291, 1326, 280, 7763, 32, 1357, 346, 291, 1326, 32, 14254, 710, 5068, 81, 8472, 785, 280, 330, 1499, 32, 496, 29534, 3663, 32, 508, 25, 291, 4070, 32, 33891, 81, 8472, 69, 280, 1665, 291, 630, 32, 5299, 26, 4770, 81, 371, 81, 2035, 26, 1357, 471, 313, 2851, 558, 32, 508, 657, 291, 4070, 32, 33891, 81, 8472, 69, 280, 3037, 28, 1446, 291, 630, 32, 5299, 26, 4770, 81, 371, 81, 2035, 26, 1357, 471, 313, 2851, 558, 32, 508, 657, 291, 4070, 32, 33891, 81, 8472, 69, 280, 3037, 3986, 32, 508, 392, 11570, 1446, 291, 630, 32, 5299, 26, 4770, 81, 371, 81, 2035, 26, 1357, 471, 313, 2851, 558, 32, 508, 657, 291, 4070, 32, 33891, 81, 8472, 69, 280, 428, 1357, 32, 14254, 710, 5068, 81, 8472, 18038, 291, 630, 32, 5299, 26, 4770, 81, 371, 81, 2035, 26, 1357, 471, 1326, 32, 14254, 710, 5068, 81, 8472, 3490, 291, 4070, 32, 33891, 81, 8472, 69, 280, 3037, 1382, 81, 1327, 81, 12787, 32, 508, 1446, 291, 623, 630, 32, 23895, 26, 27349, 8328, 2406, 3774, 711, 324, 10061, 81, 371, 81, 2035, 26, 1357, 27, 284, 665, 894, 81, 7632, 81, 314, 81, 1070, 81, 965, 26, 784, 711, 291, 630, 32, 25839, 2521, 26, 7632, 81, 314, 81, 1070, 81, 965, 3247, 3615, 2847, 291, 630, 32, 25839, 2521, 26, 7632, 81, 314, 81, 1070, 81, 965, 3247, 7632, 33, 318, 74, 33, 3812, 101, 33, 36, 34, 36, 34, 2847, 291, 630, 32, 25839, 2521, 26, 7632, 81, 314, 81, 1070, 81, 965, 3247, 19013, 33, 318, 74, 33, 3812, 101, 33, 2847, 291, 8419, 81, 314, 280, 8419, 81, 314, 81, 1070, 81, 965, 3247, 19013, 33, 318, 74, 33, 3812, 101, 33, 36, 34, 36, 34, 683, 291, 630, 32, 5299, 26, 7632, 81, 314, 32, 1088, 30, 330, 318, 74, 683, 291, 630, 32, 5299, 26, 7632, 81, 314, 32, 7632, 30, 330, 3812, 101, 683 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 4, 4, 7, 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, 6, 6, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 8, 9, 7, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 9, 9, 9, 7, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 10, 9, 10, 8, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 7, 9, 10, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 9, 10, 9, 10, 10, 10, 10, 9, 5, 5, 9, 9, 9, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 0, 1, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 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, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 3, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 13, 0, 2, 1, 1, 1, 1, 1, 1, 13, 13, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2 ]
[ 465, 5741, 203, 1070, 6765, 17594, 32, 3527, 32, 12601, 1188, 21996, 2216, 203, 1070, 6765, 17594, 32, 913, 1188, 308, 284, 34062, 81, 7420, 81, 27852, 81, 46030, 7483, 1781, 30, 284, 34062, 81, 7420, 81, 10115, 527, 11789, 30, 284, 27873, 81, 46030, 7483, 1781, 81, 14221, 3057, 2146, 69, 81, 32206, 73, 12734, 30, 284, 24884, 81, 1852, 58, 17031, 1675, 780, 30, 203, 27, 203, 1070, 638, 913, 1188, 4085, 10383, 30, 11406, 81, 10115, 527, 11789, 30, 11406, 81, 33950, 81, 46030, 7483, 1781, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 69, 13309, 6535, 280, 301, 284, 11406, 81, 10115, 527, 11789, 44, 3037, 19412, 392, 24884, 81, 1852, 58, 17031, 1675, 780, 30, 34062, 81, 7420, 81, 10115, 527, 11789, 614, 284, 11406, 81, 33950, 81, 46030, 7483, 1781, 44, 428, 291, 313, 25153, 19555, 392, 291, 27873, 81, 46030, 7483, 1781, 81, 14221, 3057, 2146, 69, 81, 32206, 73, 12734, 30, 291, 34062, 81, 7420, 81, 27852, 81, 46030, 7483, 1781, 30, 284, 2505, 203, 111, 203, 4396, 665, 2498, 81, 5522, 81, 3038, 26, 31667, 30, 1359, 30, 2498, 81, 669, 81, 9244, 711, 284, 706, 280, 35741, 32, 605, 77, 16799, 1674, 1163, 32, 3038, 81, 314, 79, 284, 11740, 280, 1605, 284, 436, 8621, 328, 706, 32, 7199, 11646, 44, 291, 436, 11548, 81, 681, 328, 358, 13309, 6535, 44, 324, 11740, 32, 1689, 26, 52, 1204, 11810, 26, 605, 30, 8621, 30, 11548, 81, 681, 490, 284, 2498, 81, 669, 81, 9244, 26, 9244, 27, 203, 823, 551, 1204, 11810, 26, 11810, 2216, 711, 284, 665, 1156, 1664, 3207, 784, 30, 706, 30, 8621, 30, 11548, 81, 681, 711, 291, 636, 30, 9991, 30, 3298, 81, 823, 280, 358, 13309, 6535, 77, 12601, 81, 681, 79, 291, 630, 1114, 426, 280, 296, 9588, 16799, 111, 301, 8996, 111, 301, 426, 3845, 291, 630, 1114, 8996, 81, 426, 280, 636, 291, 630, 1114, 681, 280, 11548, 81, 681, 291, 630, 1114, 2929, 81, 823, 280, 3298, 81, 823, 291, 630, 32, 605, 280, 706, 291, 630, 1114, 8996, 280, 706, 32, 7199, 11646, 77, 8996, 79, 291, 630, 1114, 1293, 280, 1665, 291, 630, 1114, 2243, 81, 1028, 81, 25916, 280, 9991, 291, 630, 1114, 5665, 81, 314, 280, 296, 9588, 784, 1114, 8996, 32, 3542, 45147, 784, 1114, 681, 3845, 291, 630, 1114, 12601, 81, 678, 280, 630, 1114, 681, 291, 415, 630, 1114, 681, 610, 313, 17473, 563, 324, 630, 1114, 12601, 81, 678, 280, 313, 17473, 81, 1282, 11710, 733, 20, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 442, 630, 1114, 426, 284, 477, 2433, 284, 665, 5799, 81, 314, 26, 784, 711, 291, 442, 630, 1114, 5665, 81, 314, 284, 477, 2433, 284, 665, 1603, 26, 784, 711, 291, 442, 630, 1114, 1293, 284, 477, 2433, 284, 665, 3298, 81, 823, 26, 784, 711, 291, 442, 630, 1114, 2929, 81, 823, 284, 477, 2433, 284, 665, 4201, 81, 1028, 81, 25916, 26, 784, 711, 291, 442, 630, 1114, 2243, 81, 1028 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 4, 4, 7, 7, 5, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 7, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 7, 6, 7, 7, 7, 5, 2, 2, 4, 4, 2, 2, 3, 3, 3, 4, 5, 5, 3, 3, 3, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 12, 11, 11, 11, 11, 12, 12, 11, 2, 2, 5, 5, 5, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 8, 8, 6, 6, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 9, 7, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 11, 10, 11, 9, 10, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 0, 6, 6, 6, 2, 2, 2, 2, 3, 1, 3, 3, 3, 3, 5, 5, 5, 5, 3, 6, 6, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 5, 5, 0, 0, 5, 5, 2, 2, 2, 3, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 1, 1, 2, 1, 3, 4, 1, 5, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 3, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 11, 0, 2, 1, 1, 1, 2, 11, 11, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 4, 4, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 4, 4, 1, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 15390, 81, 30839, 203, 465, 2322, 203, 465, 5237, 203, 1070, 8527, 32, 1262, 32, 46674, 1188, 622, 81, 46674, 81, 3164, 203, 12146, 81, 4065, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2998, 4064, 761, 505, 5594, 34, 1130, 203, 12146, 81, 27717, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2998, 26, 12146, 81, 4065, 5594, 34, 1130, 203, 3731, 32, 983, 32, 1689, 26, 12146, 81, 4065, 27, 203, 3731, 32, 983, 32, 1689, 26, 12146, 81, 27717, 27, 203, 500, 32, 12757, 32, 37329, 440, 28350, 5289, 65, 81, 24222, 81, 9856, 392, 313, 858, 2250, 32, 3550, 657, 203, 3164, 280, 622, 81, 46674, 81, 3164, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 9, 8, 9, 7, 8, 7, 8, 8, 7, 6, 5, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 6, 5, 0, 5, 4, 5, 3, 4, 3, 4, 4, 4, 3, 0, 5, 4, 5, 3, 4, 3, 4, 4, 4, 3, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 0, 3, 2, 2, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 2322, 1188, 16277, 203, 465, 7138, 203, 1270, 44, 284, 1188, 24495, 203, 7343, 29986, 44, 284, 1188, 273, 1198, 27198, 619, 24495, 203, 1070, 7120, 906, 2371, 96, 1188, 341, 757, 203, 1070, 7120, 906, 2371, 96, 32, 38326, 32, 105, 757, 1188, 6687, 3135, 30, 6687, 7981, 203, 823, 5710, 26, 2727, 3135, 711, 284, 477, 38326, 32, 42826, 284, 665, 544, 6249, 26, 784, 30, 4245, 711, 291, 3276, 280, 6761, 645, 630, 32, 3317, 26, 784, 27, 291, 436, 736, 328, 3276, 44, 324, 415, 6937, 26, 575, 30, 341, 757, 32, 5721, 32, 11512, 711, 400, 1459, 440, 7558, 30, 10416, 10023, 623, 14539, 2484, 16531, 1643, 26, 575, 32, 314, 490, 324, 813, 44, 400, 1459, 440, 5288, 372, 3909, 10023, 44, 16531, 1643, 26, 575, 490, 284, 477, 105, 757, 32, 3317, 463, 508, 32, 3812, 2122, 32, 669, 36, 683, 284, 665, 1015, 36, 26, 784, 30, 816, 30, 533, 711, 291, 442, 816, 474, 533, 284, 477, 105, 757, 32, 3317, 463, 508, 32, 3812, 2122, 32, 8829, 36, 683, 284, 665, 17476, 36, 26, 784, 30, 816, 30, 533, 711, 291, 442, 816, 319, 533, 284, 477, 105, 757, 32, 3317, 463, 508, 32, 3812, 2122, 32, 507, 36, 683, 284, 665, 14627, 26, 784, 30, 816, 30, 533, 711, 291, 415, 533, 44, 324, 442, 1897, 26, 106, 27, 517, 1897, 26, 107, 27, 291, 813, 44, 324, 442, 225, 34, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 15684, 280, 6687, 7981, 26, 291, 16277, 32, 371, 440, 32984, 4384, 10978, 64, 81, 47989, 81, 20483, 527, 392, 313, 3604, 555, 35, 36, 41, 32, 34, 32, 34, 32, 35, 44, 42, 34, 42, 34, 33, 3604, 2113, 291, 1044, 20, 10495, 1632, 6380, 392, 291, 4588, 81, 105, 757, 47, 2700, 30, 16189, 4588, 47, 2700, 30, 10065, 829, 284, 15684, 32, 1945, 26, 1722, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 4, 7, 7, 5, 5, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 6, 5, 6, 3, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 8, 8, 10, 11, 10, 11, 10, 5, 5, 6, 6, 6, 6, 6, 6, 8, 10, 11, 10, 10, 13, 12, 13, 11, 12, 10, 8, 8, 12, 16, 16, 16, 16, 16, 16, 16, 16, 15, 14, 16, 15, 16, 14, 8, 8, 9, 9, 9, 13, 17, 17, 17, 17, 17, 17, 16, 15, 16, 15, 2, 2, 7, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 2, 2, 7, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 2, 2, 7, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 8, 11, 12, 11, 9, 9, 11, 12, 11, 6, 6, 7, 7, 7, 9, 10, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 6, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 2, 2, 5, 6, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 3, 3, 3, 3, 3, 0, 0, 0, 1, 1, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 4, 4, 0, 0, 5, 5, 2, 1, 1, 2, 5, 5, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 3, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 323, 1253, 81, 1506, 107, 32, 12534, 1188, 14893, 7965, 203, 1070, 323, 1253, 81, 1506, 107, 32, 1637, 81, 1473, 1188, 6012, 959, 203, 1070, 2417, 4882, 32, 8774, 1188, 7378, 81, 34676, 203, 1070, 638, 7632, 81, 1637, 1188, 22509, 1969, 203, 1070, 638, 1188, 21565, 81, 2413, 203, 589, 4465, 81, 979, 81, 6825, 81, 271, 81, 13068, 26, 7128, 711, 284, 665, 617, 297, 81, 6825, 81, 15009, 2262, 291, 442, 5427, 32, 4526, 81, 1423, 440, 601, 5940, 26, 15892, 27, 610, 330, 6376, 25, 1276, 11701, 32, 2480, 610, 225, 34, 657, 284, 14893, 7965, 2176, 297, 81, 6825, 81, 15009, 30, 313, 14070, 10774, 436, 20297, 5167, 32, 1895, 2790, 4157, 346, 203, 823, 14217, 1969, 13976, 26, 1969, 959, 711, 284, 537, 81, 496, 81, 599, 81, 9003, 280, 5608, 599, 31, 1297, 32, 1297, 31, 496, 638, 496, 31, 1935, 31, 1131, 25, 284, 665, 1984, 26, 784, 711, 291, 3636, 22210, 284, 665, 438, 81, 7128, 81, 267, 81, 1637, 26, 784, 711, 291, 442, 630, 32, 99, 26, 2079, 1057, 1548, 32, 1071, 31, 5883, 1814, 2689, 284, 477, 2433, 284, 665, 4250, 26, 784, 711, 291, 442, 630, 32, 99, 26, 2079, 1057, 32, 496, 31, 668, 638, 496, 31, 1094, 1814, 1110, 26, 324, 9254, 709, 44, 2680, 4672, 26, 784, 32, 7128, 30, 709, 32, 371, 81, 4890, 463, 605, 31, 1935, 2847, 291, 6804, 4295, 284, 477, 2433, 284, 665, 952, 101, 26, 784, 711, 291, 442, 428, 496, 32, 426, 436, 1256, 328, 630, 32, 3707, 79, 284, 477, 2433, 284, 665, 1401, 81, 669, 81, 1640, 26, 784, 711, 291, 442, 630, 32, 99, 26, 2079, 1057, 32, 1297, 31, 496, 31, 1640, 1814, 2689, 284, 665, 5021, 81, 669, 81, 1640, 26, 784, 711, 291, 630, 32, 99, 26, 2079, 1057, 32, 1297, 31, 496, 31, 1640, 1814, 2232, 32, 2942, 346, 291, 630, 32, 1684, 81, 979, 26, 5962, 44, 630, 32, 890, 81, 496, 81, 599, 81, 7891, 30, 313, 1103, 1256, 2234, 438, 8702, 657, 284, 477, 2433, 284, 665, 537, 81, 496, 81, 599, 81, 7891, 26, 784, 711, 291, 442, 630, 32, 99, 26, 2079, 1057, 32, 599, 31, 1297, 32, 1297, 31, 496, 638, 496, 31, 1935, 31, 1131, 1814, 7891, 284, 665, 739, 81, 890, 81, 496, 81, 1935, 26, 784, 30, 4096, 711, 291, 630, 32, 99, 26, 2079, 1057, 32, 599, 31, 1297, 32, 1297, 31, 496, 638, 496, 31, 1935, 31, 1131, 1814, 4157, 26, 1935, 27, 284, 665, 5021, 81, 4737, 81, 890, 81, 496, 81, 599, 26, 784, 711, 291, 630, 32, 99, 26, 2079, 1057, 32, 599, 31, 1297, 32, 1297, 31, 496, 638, 1141, 31, 4457, 1814, 2942, 346, 291, 4465, 81, 979, 81, 6825, 81, 271, 81, 13068, 26, 784, 32, 7128, 27, 284, 665, 622, 81, 496, 26, 784, 30, 4096, 711, 291, 1760, 81, 3707, 280, 428, 496, 436, 1256, 328, 630, 32, 3707, 415, 1256, 32, 1935, 610, 4096, 79, 291, 1201, 2069, 26, 1977 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 7, 7, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 8, 10, 9, 11, 11, 11, 11, 11, 11, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 11, 12, 11, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 9, 9, 9, 10, 10, 10, 12, 12, 14, 13, 14, 12, 12, 14, 15, 15, 15, 14, 16, 16, 16, 16, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 9, 8, 9, 7, 8, 8, 8, 9, 10, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 9, 11, 10, 12, 12, 12, 12, 12, 12, 12, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 10, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 9, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 9, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 9, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 10, 9, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 7, 8, 8, 8, 9, 10, 7, 8, 10, 11, 9, 9, 7, 4, 4, 5, 8, 9 ]
[ 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 3, 2, 1, 4, 4, 1, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 8, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 10, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 2, 2, 3, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1 ]
[ 465, 345, 8629, 81, 2445, 81, 17066, 203, 465, 345, 8629, 81, 4415, 203, 465, 345, 8629, 81, 1007, 2390, 81, 944, 203, 465, 1539, 81, 12191, 81, 15175, 203, 465, 12994, 81, 1500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1216, 4064, 1427, 8223, 203, 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 13134, 32, 3242, 1188, 35732, 3350, 43651, 203, 19050, 280, 2065, 32, 3855, 32, 6096, 1078, 26, 35, 27, 203, 74, 280, 2065, 32, 3323, 26, 36, 34, 34, 319, 23735, 32, 6386, 26, 35, 34, 34, 30, 225, 35, 27, 429, 225, 35, 34, 34, 30, 6013, 47, 34, 27, 203, 107, 280, 2065, 32, 955, 2009, 2356, 32, 1295, 319, 2065, 32, 7102, 26, 74, 547, 38665, 1026, 2065, 32, 1295, 319, 2065, 32, 4952, 26, 74, 547, 38665, 7662, 547, 70, 203, 107, 77, 403, 39, 30, 22913, 1454, 308, 34, 32, 39, 429, 23735, 32, 6386, 26, 36, 34, 30, 225, 36, 490, 203, 268, 771, 81, 35, 280, 35732, 3350, 43651, 26, 1449, 81, 6299, 47, 36, 27, 203, 268, 771, 81, 36, 280, 35732, 3350, 43651, 26, 1449, 81, 6299, 47, 39, 27, 203, 268, 771, 81, 37, 280, 35732, 3350, 43651, 26, 1449, 81, 6299, 47, 42, 27, 203, 268, 771, 81, 35, 32, 4698, 26, 74, 30, 533, 27, 203, 268, 771, 81, 36, 32, 4698, 26, 74, 30, 533, 27, 203, 268, 771, 81, 37, 32, 4698, 26, 74, 30, 533, 27, 203, 74, 81, 858, 280, 2065, 32, 16251, 3736, 35, 34, 34, 32, 34, 30, 225, 35, 34, 34, 32, 34, 30, 225, 34, 32, 34, 35, 27, 6894, 2065, 32, 890, 5082, 79, 203, 107, 81, 35, 280, 316, 771, 81, 35, 32, 9356, 26, 74, 81, 858, 27, 203, 107, 81, 36, 280, 316, 771, 81, 36, 32, 9356, 26, 74, 81, 858, 27, 203, 107, 81, 37, 280, 316, 771, 81, 37, 32, 9356, 26, 74, 81, 858, 27, 203, 6073, 32, 7630, 346, 203, 6073, 32, 17808, 26, 107, 6894, 225, 34, 614, 533, 6894, 225, 35, 614, 281, 347, 93, 392, 2266, 347, 605, 657, 203, 6073, 32, 17808, 26, 107, 81, 35, 6894, 225, 34, 614, 533, 81, 35, 6894, 225, 35, 614, 281, 347, 89, 392, 2266, 347, 1449, 81, 6299, 47, 36, 657, 203, 6073, 32, 17808, 26, 107, 81, 36, 6894, 225, 34, 614, 533, 81, 36, 6894, 225, 35, 614, 281, 347, 100, 392, 2266, 347, 1449, 81, 6299, 47, 39, 657, 203, 6073, 32, 17808, 26, 107, 81, 37, 6894, 225, 34, 614, 533, 81, 37, 6894, 225, 35, 614, 281, 347, 84, 392, 2266, 347, 1449, 81, 6299, 47, 42, 657, 203, 6073, 32, 33019, 37309, 40, 30, 225, 40, 1130, 203, 6073, 32, 28691, 37309, 40, 30, 225, 40, 1130, 203, 6073, 32, 16862, 440, 605, 657, 203, 6073, 32, 16575, 440, 1977, 657, 203, 6073, 32, 1311, 440, 6221, 31, 2024, 35732, 9366, 33586, 657, 203, 6073, 32, 11358, 346, 203, 6073, 32, 2245, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 4, 4, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 5, 6, 4, 5, 5, 4, 5, 4, 0, 3, 2, 2, 4, 5, 4, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 8, 5, 5, 6, 6, 6, 4, 4, 5, 6, 4, 0, 3, 2, 2, 5, 6, 5, 9, 8, 9, 7, 7, 11, 12, 11, 12, 11, 10, 9, 6, 8, 9, 7, 7, 11, 12, 11, 12, 11, 10, 9, 5, 4, 0, 4, 3, 4, 5, 3, 3, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 7, 7, 6, 6, 7, 6, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 5, 6, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 5, 6, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 5, 6, 4, 0, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 0, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 0, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 3, 3, 4, 5, 5, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 0, 4, 3, 4, 3, 0, 4, 3, 4, 3, 5, 4, 4, 5, 4, 3, 4, 4, 5, 4, 3, 4, 6, 6, 3, 4, 6, 6, 0, 4, 3, 4, 3, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 4, 3, 4, 6, 6, 3, 4, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 3, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 4, 3, 4, 6, 6, 3, 4, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 3, 5, 5, 5, 4, 4, 5, 4, 3, 5, 5, 4, 4, 5, 4, 3, 4, 6, 6, 3, 4, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 3, 6, 4, 4, 5, 4, 0, 4, 3, 4, 3, 6, 4, 4, 5, 4, 0, 4, 3, 4, 3, 5, 5, 0, 4, 3, 4, 3, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 0, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 2, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 3, 3, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 5, 5, 5, 5, 1, 2, 2, 4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 4, 1, 1, 3, 3, 4, 3, 1, 5, 1, 2, 1, 7, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 4, 1, 1, 0, 0, 3, 3, 4, 3, 1, 5, 1, 2, 1, 7, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 4, 1, 1, 0, 0, 3, 3, 4, 3, 1, 5, 1, 2, 1, 7, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 4, 1, 1, 0, 0, 3, 3, 4, 3, 1, 5, 1, 2, 1, 7, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 30, 7976, 81, 465, 203, 465, 2322, 32, 983, 203, 1070, 18414, 32, 1356, 32, 25931, 32, 21332, 1188, 35198, 203, 465, 6436, 619, 2065, 203, 1070, 6436, 32, 20973, 1188, 9807, 203, 1070, 6436, 32, 4266, 1188, 308, 10529, 30, 19205, 30, 1420, 81, 1647, 81, 9089, 30, 291, 1201, 81, 16708, 30, 1201, 81, 955, 81, 2228, 30, 1201, 81, 2228, 30, 1201, 81, 37368, 81, 2228, 30, 291, 1201, 81, 35502, 27, 203, 1070, 18414, 32, 1356, 32, 25931, 1188, 1044, 203, 1070, 18414, 32, 20847, 32, 8018, 1188, 308, 9699, 599, 30, 298, 2452, 30, 281, 2452, 30, 9215, 30, 291, 594, 329, 2294, 30, 30110, 30, 309, 1253, 3528, 941, 550, 30, 1118, 873, 270, 12081, 2618, 30, 540, 45707, 1691, 97, 30, 533, 760, 30, 291, 1929, 81, 12133, 81, 107, 30, 1929, 81, 12133, 81, 6521, 30, 438, 81, 1327, 81, 6521, 30, 438, 81, 1327, 81, 107, 30, 345, 764, 44925, 30, 31225, 764, 44925, 30, 291, 484, 34986, 30, 11098, 87, 34986, 30, 10712, 482, 30, 24716, 30, 345, 2371, 17690, 906, 297, 30, 291, 883, 84, 13003, 30, 3203, 395, 1537, 28469, 30, 309, 1253, 36147, 1190, 749, 30, 617, 4635, 81, 2402, 27, 203, 81, 34508, 280, 3037, 29051, 32, 2760, 392, 1090, 313, 2087, 427, 31, 74, 35, 32, 2760, 392, 1090, 313, 2087, 427, 31, 74, 36, 32, 2760, 392, 1090, 313, 98, 2452, 31, 11751, 6714, 31, 696, 32, 2760, 392, 1090, 313, 98, 2452, 31, 4398, 31, 18833, 32, 2760, 392, 1090, 313, 98, 2452, 31, 11138, 2294, 31, 696, 32, 2760, 392, 1090, 313, 98, 2452, 31, 5702, 1521, 31, 696, 31, 29051, 32, 2760, 392, 1090, 313, 98, 2452, 31, 95, 764, 44925, 31, 37, 32, 36, 31, 696, 31, 29051, 32, 2760, 392, 1090, 313, 98, 2452, 31, 5702, 1521, 31, 696, 32, 2760, 392, 1090, 313, 98, 2452, 31, 26056, 31, 696, 31, 29051, 32, 2760, 392, 1090, 313, 98, 2452, 31, 95, 764, 44925, 31, 39, 32, 42, 31, 696, 31, 29051, 32, 2760, 392, 1090, 313, 98, 2452, 31, 26056, 31, 696, 32, 2760, 392, 1090, 313, 98, 2452, 31, 95, 764, 44925, 31, 37, 32, 36, 31, 696, 32, 2760, 392, 1090, 313, 98, 2452, 31, 4952, 482, 31, 696, 31, 29051, 32, 2760, 392, 1090, 313, 98, 2452, 31, 277, 34986, 31, 696, 31, 29051, 32, 2760, 392, 1090, 313, 98, 2452, 31, 4952, 482, 31, 696, 32, 2760, 392, 1090, 313, 98, 2452, 31, 277, 34986, 31, 696, 32, 2760, 392, 1090, 313, 98, 2452, 31, 2627, 31, 18833, 32, 2760, 392, 1090, 313, 98, 2452, 31, 101, 6094, 1588, 31, 696, 32, 2760, 392, 1090, 313, 98, 2452, 31, 87, 34986, 31, 696, 32, 2760, 392, 1090, 313, 98, 2452, 31, 87, 34986, 31, 696, 31, 29051, 32, 2760, 392, 1090, 313, 98, 2452, 31, 1058, 1170, 1058, 104, 31, 696, 32, 2760, 392, 1090, 313, 98, 2452, 31, 1058, 1170, 1058, 104, 31, 696, 31, 29051 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 0, 3, 3, 2, 2, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 12500, 32, 17449, 619, 5743, 203, 1070, 13625, 1188, 33953, 203, 1070, 13134, 32, 15183, 1188, 1930, 81, 15210, 203, 1070, 13134, 32, 24260, 1188, 9500, 26844, 15401, 30, 24188, 33781, 15401, 203, 1216, 4064, 1427, 8223, 203, 32683, 81, 6103, 280, 225, 35, 36, 37, 203, 74, 30, 533, 280, 1930, 81, 15210, 26, 96, 81, 7088, 47, 39, 34, 34, 30, 310, 81, 5905, 47, 36, 39, 30, 6029, 310, 81, 18806, 81, 462, 81, 823, 47, 35, 30, 310, 81, 18921, 1353, 47, 35, 39, 30, 6029, 3995, 81, 1293, 47, 32683, 81, 6103, 27, 203, 24260, 81, 25371, 101, 280, 428, 284, 2884, 6096, 26844, 15401, 30, 1769, 81, 5905, 1057, 8663, 13042, 291, 9500, 26844, 15401, 26, 32563, 81, 1366, 47, 1815, 30, 337, 906, 81, 5020, 47, 1815, 30, 7686, 1769, 81, 5905, 347, 8663, 392, 7686, 3995, 81, 1293, 47, 32683, 81, 6103, 3662, 284, 2884, 6096, 26844, 15401, 30, 1769, 81, 5905, 1057, 751, 36, 13042, 291, 9500, 26844, 15401, 26, 32563, 81, 1366, 47, 1815, 30, 1769, 81, 5905, 1057, 751, 36, 370, 7686, 337, 906, 81, 5020, 47, 1815, 30, 7686, 3995, 81, 1293, 47, 32683, 81, 6103, 3662, 284, 2884, 6096, 26844, 15401, 30, 1769, 81, 5905, 47, 2521, 392, 291, 9500, 26844, 15401, 26, 32563, 81, 1366, 47, 1815, 30, 1769, 81, 5905, 47, 2521, 30, 7686, 337, 906, 81, 5020, 47, 1815, 30, 7686, 3995, 81, 1293, 47, 32683, 81, 6103, 490, 203, 79, 203, 731, 81, 3306, 280, 33953, 1162, 1172, 30, 11544, 436, 2266, 30, 617, 328, 46241, 81, 25371, 101, 27, 203, 887, 81, 37491, 280, 225, 35, 39, 203, 1449, 81, 37491, 280, 225, 35, 41, 39, 203, 979, 2266, 30, 38498, 328, 46241, 81, 25371, 101, 44, 284, 436, 595, 328, 2155, 26, 887, 81, 37491, 30, 1769, 81, 37491, 474, 225, 35, 711, 291, 38498, 32, 470, 81, 2132, 26, 96, 81, 37491, 47, 91, 27, 291, 38498, 32, 4698, 26, 74, 30, 533, 27, 291, 337, 906, 81, 731, 280, 225, 35, 429, 38498, 32, 27386, 81, 5020, 81, 291, 1048, 81, 3306, 77, 1172, 997, 1689, 1162, 91, 30, 337, 906, 81, 731, 490, 203, 979, 2266, 30, 38498, 81, 530, 328, 1048, 81, 3306, 32, 3028, 2262, 284, 9877, 30, 22720, 280, 8529, 2740, 25371, 81, 530, 27, 284, 5743, 32, 3399, 26, 4895, 30, 22720, 30, 2266, 47, 1172, 27, 203, 6073, 32, 33019, 26, 887, 81, 37491, 30, 1769, 81, 37491, 27, 203, 6073, 32, 16862, 440, 96, 81, 37491, 657, 203, 6073, 32, 16575, 440, 65, 4384, 1048, 7692, 657, 203, 6073, 32, 11358, 26, 881, 347, 7607, 2091, 657, 203, 6073, 32, 2245, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 4, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 4, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 6, 5, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 8, 8, 8, 7, 8, 6, 6, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 7, 9, 9, 6, 6, 8, 8, 7, 8, 8, 8, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 8, 8, 8, 7, 8, 6, 6, 8, 8, 7, 9, 9, 9, 6, 6, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 7, 8, 8, 8, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 8, 8, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 6, 6, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 7, 8, 8, 8, 6, 3, 3, 0, 3, 3, 3, 2, 2, 4, 6, 5, 5, 4, 5, 6, 6, 5, 5, 6, 6, 6, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 5, 6, 6, 6, 5, 5, 7, 7, 6, 6, 7, 5, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 8, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 4, 4, 7, 7, 7, 6, 6, 8, 7, 7, 8, 9, 9, 9, 9, 4, 4, 9, 9, 8, 9, 8, 8, 7, 9, 8, 8, 9, 9, 9, 8, 0, 1, 1, 2, 2, 3, 3, 1, 1, 4, 4, 3, 4, 3, 1, 1, 5, 5, 4, 4, 6, 8, 8, 8, 6, 2, 2, 5, 6, 5, 6, 5, 5, 5, 5, 6, 7, 5, 0, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 0, 4, 3, 4, 3, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 4, 6, 6, 6, 0, 4, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 5, 2, 1, 1, 0, 0, 0, 7, 2, 2, 1, 1, 1, 0, 0, 9, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 1, 2, 1, 1, 0, 0, 7, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 2, 1, 1, 0, 0, 0, 5, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 0, 5, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 11, 11, 1, 1, 11, 11, 3, 3, 3, 11, 11, 11, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 0, 12, 12, 1, 1, 2, 2, 12, 12, 0, 0, 0, 2, 1, 12, 12, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1188, 1519, 203, 465, 2322, 203, 465, 19571, 203, 2993, 203, 51, 1532, 633, 317, 81, 1515, 2262, 284, 1188, 29590, 284, 442, 29590, 32, 4765, 86, 1433, 346, 203, 823, 21314, 7167, 26, 2665, 711, 284, 1524, 284, 1148, 956, 1073, 81, 15615, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 3219, 695, 33792, 1389, 81, 1515, 47, 2521, 30, 319, 1132, 30, 1115, 5321, 711, 291, 415, 1389, 81, 1515, 438, 1665, 44, 324, 1389, 81, 1515, 280, 622, 81, 2868, 81, 1515, 346, 291, 630, 32, 1007, 81, 1515, 280, 1519, 26, 1007, 81, 1515, 27, 291, 415, 646, 630, 32, 1007, 81, 1515, 32, 4658, 2262, 324, 630, 32, 1007, 81, 1515, 32, 10174, 346, 291, 436, 1202, 30, 909, 328, 18623, 26, 1664, 695, 30, 330, 40957, 370, 3219, 695, 3667, 1731, 8223, 2262, 324, 630, 77, 678, 79, 280, 909, 291, 630, 32, 956, 1073, 81, 15615, 32, 1689, 26, 784, 32, 1007, 81, 1515, 27, 291, 2599, 26, 6883, 7167, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 284, 665, 1156, 470, 1094, 3207, 784, 30, 1202, 30, 909, 30, 319, 1132, 30, 1115, 5321, 711, 291, 19571, 32, 5937, 26, 695, 30, 2156, 26, 784, 32, 1007, 81, 1515, 33, 678, 30, 330, 105, 2847, 284, 665, 1156, 33644, 3207, 784, 30, 1202, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 19571, 32, 944, 26, 1676, 26, 784, 32, 1007, 81, 1515, 33, 678, 30, 330, 100, 2847, 284, 665, 1156, 13707, 3207, 784, 711, 291, 1524, 397, 225, 1759, 26542, 26, 2665, 43270, 93, 30, 354, 27, 436, 831, 30, 354, 328, 630, 32, 40957, 346, 5259, 284, 665, 1156, 466, 3207, 784, 711, 291, 1524, 397, 296, 2069, 26, 784, 32, 3494, 22805, 324, 442, 8930, 25, 474, 26542, 26, 784, 32, 3494, 8532, 34, 1130, 474, 25487, 474, 26542, 26, 784, 77, 784, 32, 3494, 8532, 34, 13138, 474, 5769, 2417, 25, 291, 813, 44, 324, 442, 2599, 26, 6883, 7167, 30, 630, 14585, 466, 16369, 284, 665, 5036, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 428, 678, 436, 1202, 328, 630, 32, 1731, 3494, 7662, 284, 665, 3850, 3494, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 436, 296, 328, 630, 32, 1007, 81, 1515, 32, 2536, 2262, 324, 6761, 596, 26, 784, 32, 1007, 81, 1515, 32, 268, 1915, 269, 384, 97, 26, 88, 490, 284, 665, 3850, 3028, 26, 784, 711, 291, 436, 1202, 328, 630, 32, 1731, 3494, 2262, 324, 6761, 1202, 30, 630, 77, 678, 79, 284, 665, 3850, 2810, 26, 784, 711, 291, 436, 1202, 328, 630, 32, 1731, 3494, 2262, 324, 6761, 630, 77, 678, 79, 284, 665, 1156, 4025, 1094, 3207, 784, 30, 1202, 30, 319, 1132, 30, 1115, 5321, 711, 291, 308, 784, 32, 1007, 81, 1515, 33, 678, 547, 23754, 346, 284, 665, 2078, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 428, 784, 77, 678, 79, 436, 1202, 328, 630, 32, 3494, 7662, 284, 665, 13144, 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, 2, 1, 2, 2, 1, 2, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 3, 3, 1, 1, 2, 3, 3, 4, 3, 3, 5, 4, 3, 5, 5, 4, 5, 3, 3, 5, 3, 3, 5, 3, 2, 2, 4, 6, 6, 5, 5, 4, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 9, 3, 3, 6, 7, 7, 7, 5, 5, 7, 8, 8, 8, 7, 3, 3, 4, 5, 8, 9, 9, 9, 7, 8, 7, 4, 4, 9, 10, 10, 10, 8, 9, 8, 3, 3, 4, 5, 5, 4, 4, 7, 8, 8, 7, 7, 9, 9, 7, 9, 8, 9, 9, 6, 4, 4, 8, 9, 8, 7, 7, 3, 3, 7, 8, 8, 8, 8, 6, 7, 6, 8, 7, 8, 8, 8, 6, 3, 3, 8, 9, 9, 8, 8, 8, 7, 7, 8, 6, 6, 8, 6, 1, 1, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 5, 3, 3, 5, 3, 2, 2, 6, 7, 6, 7, 6, 6, 8, 11, 10, 11, 11, 11, 9, 10, 8, 8, 10, 10, 1, 1, 2, 3, 3, 4, 3, 3, 3, 3, 5, 3, 3, 5, 3, 2, 2, 4, 6, 7, 6, 8, 8, 11, 10, 11, 11, 11, 9, 10, 8, 8, 10, 10, 1, 1, 2, 3, 3, 4, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 2, 4, 7, 6, 7, 6, 1, 1, 2, 8, 6, 6, 8, 12, 11, 12, 11, 10, 9, 5, 5, 4, 4, 6, 8, 7, 11, 10, 11, 10, 9, 8, 3, 3, 5, 5, 2, 2, 2, 1, 1, 2, 6, 7, 7, 6, 6, 6, 5, 5, 2, 2, 2, 4, 5, 4, 4, 6, 4, 4, 6, 4, 1, 1, 2, 4, 3, 4, 4, 4, 6, 7, 7, 6, 2, 2, 2, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 1, 1, 2, 2, 2, 5, 6, 6, 6, 4, 5, 4, 2, 2, 6, 8, 12, 11, 12, 12, 12, 10, 11, 11, 11, 11, 11, 10, 11, 10, 1, 1, 2, 3, 3, 4, 3, 2, 2, 4, 4, 4, 6, 7, 7, 6, 4, 4, 7, 8, 8, 9, 10, 9, 1, 1, 2, 3, 3, 4, 3, 2, 2, 4, 4, 4, 6, 7, 7, 6, 4, 4, 7, 8, 9, 8, 1, 1, 2, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 3, 5, 3, 2, 2, 10, 9, 10, 10, 10, 8, 9, 7, 7, 6, 1, 1, 2, 3, 4, 3, 3, 5, 3, 3, 5, 3, 2, 2, 4, 7, 6, 7, 6, 5, 6, 6, 6, 8, 9, 8, 1, 1, 2, 3 ]
[ -1, 0, 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 1, 1, 1, 2, 2, 0, 3, 2, 0, 0, 5, 2, 2, 2, 1, 2, 2, 1, 2, 5, 5, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 4, 4, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 0, 5, 2, 2, 1, 3, 3, 0, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 6, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 6, 6, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 7, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 7, 7, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 8, 1, 1, 1, 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, 0, 0, 9, 1, 0, 0, 2, 1, 0, 0, 10, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 11, 11, 11, 0, 0, 12, 1, 1, 1, 1, 1, 1, 2, 2, 13, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 14, 1, 1, 2, 2, 2, 0, 2, 2, 1, 15, 15, 15, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 16, 16, 16, 0, 2, 2, 2, 0, 2, 1, 16, 16, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 17, 1, 2, 1, 2, 17, 17, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 18, 1, 2, 1, 2, 18, 18, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 19, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 19, 19, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 20, 2, 1, 2, 2, 1, 2, 2, 1, 2, 20, 20, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 21, 2 ]
[ 465, 5237, 203, 465, 4942, 203, 1070, 15759, 81, 48171, 1188, 4705, 30, 6779, 7510, 203, 1439, 280, 1665, 203, 6728, 280, 4247, 203, 325, 5237, 32, 5134, 610, 313, 4463, 37, 36, 563, 284, 1695, 280, 313, 8473, 37, 36, 10580, 20, 284, 5016, 280, 5608, 8022, 25, 203, 1832, 2031, 280, 5436, 26, 291, 21331, 280, 2933, 30, 291, 22269, 280, 225, 36, 30, 291, 1487, 81, 4190, 81, 3969, 280, 2933, 30, 291, 2305, 81, 2536, 280, 77, 463, 893, 13093, 330, 893, 33, 1425, 715, 2726, 6989, 81, 1536, 13093, 330, 6989, 81, 1536, 33, 1425, 715, 2726, 5866, 32, 2957, 370, 330, 5866, 32, 2957, 1425, 715, 2505, 829, 203, 5522, 26, 291, 636, 280, 313, 16602, 570, 1290, 5392, 392, 291, 1503, 280, 4942, 32, 4530, 30, 4456, 3048, 280, 313, 51, 23745, 432, 570, 1290, 5392, 2616, 7337, 2716, 7221, 905, 392, 291, 2075, 280, 5436, 26, 1832, 81, 8022, 280, 1968, 2031, 471, 291, 25407, 6975, 280, 428, 23928, 440, 8463, 32, 978, 392, 6619, 4269, 1057, 893, 33, 5370, 32, 5677, 370, 6619, 1695, 280, 1695, 30, 6619, 1760, 558, 1057, 5866, 81, 8463, 23, 101, 21735, 6728, 30, 6619, 2588, 5556, 6779, 7510, 440, 4466, 32, 978, 392, 6619, 1695, 280, 330, 7633, 370, 6619, 1760, 558, 1057, 5866, 81, 4466, 23, 101, 21735, 6728, 30, 6619, 2588, 5556, 8834, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 1, 3, 0, 3, 2, 2, 0, 3, 2, 2, 0, 1, 1, 3, 4, 2, 2, 4, 4, 4, 4, 1, 1, 4, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 6, 4, 4, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 6, 7, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 6, 6, 4, 0, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 3, 3, 4, 4, 5, 6, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 8, 8, 8, 7, 7, 8, 6, 3, 3, 5, 4, 4, 7, 7, 9, 9, 9, 9, 7, 7, 8, 10, 10, 10, 10, 10, 10, 7, 7, 8, 8, 7, 7, 7, 9, 8, 11, 11, 11, 11, 11, 11, 10, 7, 7, 7, 5, 5, 7, 7, 9, 9, 9, 9, 7, 7, 8, 8, 10, 10, 7, 7, 9, 8, 11, 11, 11, 11, 11, 11, 10, 7, 7, 7, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 0, 0, 0, 0, 5, 5, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 2, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 7, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 9, 9, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 1, 0, 7, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 2, 1, 1, 0, 5, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 17874, 11445, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 622, 81, 15678, 203, 1070, 8527, 32, 36287, 1188, 2908, 81, 452, 81, 1986, 203, 1070, 8527, 32, 2387, 1188, 10838, 34747, 203, 1070, 8527, 32, 4338, 32, 2811, 1188, 22131, 81, 39, 34, 34, 81, 1986, 203, 1070, 8527, 32, 4338, 32, 9947, 32, 1297, 81, 1877, 1188, 1487, 81, 1473, 203, 1070, 17708, 4882, 32, 4338, 1188, 44348, 984, 30, 2940, 81, 1132, 203, 1070, 4549, 1188, 20671, 203, 589, 1650, 81, 1637, 26, 1357, 711, 284, 442, 17874, 10385, 916, 772, 1548, 48, 17299, 1938, 377, 1548, 855, 916, 22639, 203, 589, 3115, 81, 1297, 26, 1357, 711, 284, 443, 12441, 888, 16337, 11481, 1241, 26, 8538, 32, 1243, 1241, 711, 291, 443, 11985, 44, 324, 1542, 280, 20671, 291, 665, 4131, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 324, 630, 32, 2386, 32, 7794, 280, 330, 6060, 31, 2455, 31, 7794, 25, 324, 442, 2599, 26, 20488, 16337, 11481, 1241, 30, 630, 547, 2853, 2740, 1132, 30, 1115, 5321, 27, 284, 442, 1487, 81, 1473, 26, 1357, 30, 291, 2364, 81, 2853, 81, 7344, 20183, 4338, 33, 1297, 81, 1877, 33, 1071, 33, 4066, 9708, 26, 7794, 27, 101, 13093, 291, 2234, 81, 823, 47, 20488, 16337, 11481, 1241, 27, 203, 589, 29657, 26, 1357, 711, 284, 1596, 44, 291, 3636, 3268, 284, 2940, 3268, 44, 291, 442, 22131, 81, 39, 34, 34, 81, 1986, 26, 1357, 30, 319, 3731, 32, 14806, 81, 1338, 1157, 203, 589, 29657, 38, 34, 38, 26, 1357, 711, 284, 17159, 280, 622, 81, 15678, 26, 2521, 27, 284, 17159, 32, 5284, 25416, 203, 589, 5668, 26, 1357, 711, 284, 442, 17874, 11445, 440, 1977, 29594, 203, 589, 2202, 81, 3893, 26, 1357, 30, 310, 711, 284, 3636, 44348, 984, 26, 7343, 81, 1132, 77, 410, 26, 96, 14829, 203, 589, 3079, 81, 3893, 26, 1357, 30, 310, 711, 284, 442, 2908, 81, 452, 81, 1986, 463, 2811, 33, 2387, 81, 3893, 32, 916, 370, 291, 5053, 626, 950, 2940, 81, 1132, 77, 410, 26, 96, 2177, 1748, 203, 589, 29657, 81, 2387, 81, 13822, 81, 1206, 81, 12527, 26, 1357, 711, 284, 1596, 44, 291, 442, 2908, 81, 452, 81, 1986, 463, 91, 81, 32607, 81, 12527, 32, 916, 683, 284, 2940, 10838, 34747, 44, 291, 442, 22131, 81, 39, 34, 34, 81, 1986, 26, 1357, 30, 319, 3731, 32, 14806, 81, 1338, 1157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 6, 5, 6, 6, 4, 3, 3, 5, 5, 5, 5, 8, 8, 4, 4, 5, 6, 7, 6, 6, 8, 6, 6, 8, 6, 5, 5, 10, 11, 9, 10, 8, 8, 10, 10, 10, 10, 10, 10, 6, 6, 7, 11, 12, 12, 12, 12, 11, 11, 11, 10, 9, 11, 9, 9, 11, 9, 2, 2, 3, 5, 5, 5, 6, 5, 5, 5, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 6, 7, 7, 7, 7, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 3, 5, 3, 3, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 12, 11, 12, 12, 12, 11, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 5, 6, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 5, 7, 7, 7, 6, 8, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 9, 9, 7, 9, 9, 8, 10, 10, 11, 10, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 12, 11, 12, 12, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 6, 6, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 8, 8, 0, 0, 0, 9, 9, 9, 9, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 2, 2, 2, 1, 0, 12, 12, 2, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 13, 13, 1, 1, 1, 2, 1, 2, 13, 13, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 14, 14, 2, 1, 2, 14, 14, 0, 0, 1, 1, 1, 0, 15, 15, 1, 1, 2, 1, 2, 2, 2, 15, 15, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 16, 16, 1, 1, 2, 1, 2, 2, 2, 16, 16, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 3, 0, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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 ]
[ 505, 464, 505, 280, 428, 284, 330, 1439, 40, 38, 81, 1657, 370, 284, 330, 1548, 81, 5460, 370, 284, 330, 1548, 81, 4434, 370, 284, 330, 5460, 370, 284, 330, 5460, 800, 370, 284, 330, 4434, 370, 284, 330, 4434, 800, 370, 284, 330, 2111, 81, 4434, 370, 284, 1481, 203, 1070, 7395, 14510, 1188, 323, 36, 83, 81, 1439, 40, 38, 30, 312, 36, 84, 81, 1439, 40, 38, 203, 1070, 4096, 32, 2304, 1188, 2421, 81, 87, 2441, 203, 31042, 56, 280, 3228, 100, 78, 96, 25, 203, 15619, 280, 3228, 96, 25, 203, 13073, 5203, 280, 4247, 203, 32501, 81, 6169, 280, 225, 41, 203, 589, 1695, 40, 38, 81, 1657, 26, 101, 711, 284, 8351, 81, 1028, 81, 37, 30, 39625, 452, 424, 280, 4451, 1803, 26, 1657, 26, 101, 471, 225, 37, 27, 284, 310, 280, 8351, 81, 1028, 81, 37, 319, 225, 38, 284, 415, 39625, 452, 424, 44, 291, 310, 1454, 225, 38, 284, 442, 310, 203, 589, 3338, 81, 4434, 26, 2111, 30, 8485, 1057, 9328, 31, 42, 42, 39, 43, 31, 35, 370, 4986, 81, 87, 2441, 47, 2700, 30, 1750, 1769, 1800, 23309, 47, 41, 40, 30, 484, 362, 47, 15619, 711, 284, 415, 646, 3338, 44, 291, 442, 3338, 284, 415, 646, 4986, 81, 87, 2441, 44, 291, 3338, 280, 2421, 81, 87, 2441, 26, 2111, 27, 284, 1695, 40, 38, 318, 280, 1605, 284, 1769, 81, 12596, 280, 1769, 1800, 23309, 429, 2069, 26, 15245, 27, 429, 488, 31158, 81, 6169, 284, 1769, 81, 311, 12596, 280, 1769, 81, 12596, 319, 225, 37, 434, 225, 38, 284, 436, 595, 328, 2155, 26, 34, 30, 2069, 26, 2111, 471, 1769, 81, 311, 12596, 711, 291, 1695, 40, 38, 318, 32, 1689, 26, 84, 36, 83, 81, 1439, 40, 38, 26, 2111, 77, 91, 44, 91, 29, 1449, 81, 311, 12596, 5259, 284, 5430, 280, 1605, 284, 436, 1628, 328, 1695, 40, 38, 318, 44, 291, 415, 1628, 32, 20643, 26, 15619, 711, 324, 1628, 280, 1628, 20129, 35, 79, 291, 5430, 32, 1689, 463, 28092, 23, 101, 49, 84, 49, 23, 101, 49, 1057, 904, 308, 15245, 30, 1628, 490, 284, 7140, 265, 280, 484, 362, 474, 330, 330, 284, 442, 7140, 265, 32, 2524, 26, 4446, 27, 203, 589, 9336, 26, 101, 30, 5298, 47, 1815, 30, 1769, 1800, 23309, 47, 41, 40, 30, 484, 362, 47, 15619, 711, 284, 415, 646, 309, 44, 291, 442, 309, 284, 415, 646, 5298, 44, 291, 309, 280, 2421, 81, 87, 2441, 26, 101, 27, 284, 17120, 3137, 280, 1605, 284, 1769, 81, 311, 12596, 280, 1769, 1800, 23309, 319, 225, 37, 434, 225, 38, 284, 436, 595, 328, 2155, 26, 34, 30, 2069, 26, 101, 471, 1769, 81, 311, 12596, 711, 291, 17120, 280, 323, 36, 83, 81, 1439, 40, 38, 26, 101, 77, 91, 44, 91, 474, 1769, 81, 311, 12596, 1130, 291, 415, 17120, 32, 20643, 26, 15619, 27, 461, 484, 362, 863, 30276, 44, 324, 17120, 280, 17120, 20129, 35, 79, 474, 484, 362, 291, 17120, 3137, 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 ]
[ 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 3, 3, 2, 2, 5, 5, 5, 4, 0, 3, 2, 2, 5, 4, 0, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 6, 6, 6, 6, 5, 5, 6, 6, 4, 4, 6, 6, 8, 8, 9, 8, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 5, 5, 6, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 4, 4, 4, 3, 4, 2, 2, 2, 4, 4, 3, 4, 4, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 3, 3, 3, 5, 2, 2, 3, 4, 5, 5, 5, 3, 3, 3, 6, 6, 8, 8, 8, 8, 9, 8, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 7, 7, 6, 6, 8, 9, 8, 5, 5, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 6, 7, 5, 5, 6, 2, 2, 3, 3, 3, 5, 6, 5, 5, 7, 8, 7, 5, 6, 6, 6, 5, 3, 3, 8, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 12, 11, 13, 12, 13, 13, 13, 13, 10, 2, 2, 4, 4, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 7, 8, 7, 8, 7, 5, 5, 8, 8, 9, 12, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 2, 2, 5, 4, 4, 6, 5, 5, 7, 2, 2, 3, 6, 5, 6, 5, 6, 5, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 4, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 3, 3, 3, 5, 2, 2, 3, 4, 3, 3, 3, 6, 6, 8, 8, 8, 8, 9, 8, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 6, 7, 5, 5, 6, 2, 2, 3, 3, 3, 5, 6, 5, 5, 7, 8, 7, 5, 6, 6, 6, 5, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10, 9, 11, 10, 12, 11, 11, 12, 12, 12, 9, 4, 4, 5, 8, 9, 8, 9, 8, 6, 6, 8, 7, 7, 5, 5, 5, 8, 8, 10, 13, 10, 9, 9, 10, 4, 4, 8, 7 ]
[ 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 2, 4, 4, 3, 0, 8, 8, 1, 1, 2, 1, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 5, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 9, 2, 2, 8, 8, 0, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 1, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 4, 4, 7, 7, 7, 3, 3, 3, 7, 7, 7, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 9, 0, 0, 2, 1, 1, 1, 0, 9, 9, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 7, 2, 2, 9, 9, 0, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 5, 5, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 5, 5, 0, 0 ]
[ 465, 5741, 203, 465, 2322, 203, 465, 3619, 32, 983, 203, 465, 13092, 203, 465, 16539, 203, 465, 5237, 203, 465, 29590, 203, 465, 1133, 203, 1070, 3619, 32, 716, 1188, 3319, 2338, 203, 1070, 8194, 325, 32, 1676, 12789, 1188, 337, 604, 7925, 203, 1070, 8194, 325, 32, 1676, 12789, 32, 604, 97, 7925, 1188, 1505, 81, 625, 203, 1070, 8194, 325, 32, 1676, 12789, 32, 4266, 1188, 4533, 983, 81, 2103, 81, 5002, 16447, 203, 50, 12408, 32, 12940, 26, 3473, 1057, 2848, 683, 203, 589, 3691, 1515, 81, 6690, 26, 1357, 711, 284, 13597, 81, 1515, 280, 3619, 32, 983, 32, 1696, 26, 1433, 761, 32, 4765, 86, 1433, 1157, 284, 1326, 32, 669, 3220, 2265, 26, 5962, 44, 13597, 81, 1515, 32, 2546, 26, 4875, 47, 35, 490, 284, 442, 13597, 81, 1515, 203, 50, 12408, 32, 12940, 26, 3473, 1057, 2848, 683, 203, 589, 47410, 2675, 81, 6690, 26, 1357, 711, 284, 645, 617, 12408, 1188, 47410, 2675, 284, 415, 13092, 3667, 1648, 505, 333, 313, 37, 563, 291, 7680, 746, 280, 47410, 2675, 32, 38618, 2675, 346, 284, 813, 44, 291, 7680, 746, 280, 47410, 2675, 32, 38618, 2675, 26, 1357, 27, 284, 1326, 32, 669, 3220, 2265, 26, 317, 746, 32, 16213, 27, 284, 442, 7680, 746, 203, 50, 12408, 32, 12940, 26, 3473, 347, 2848, 392, 2267, 539, 47, 1815, 27, 203, 589, 4533, 983, 81, 1347, 81, 24502, 26, 1357, 30, 47410, 2675, 81, 6690, 711, 284, 537, 81, 983, 280, 4533, 983, 81, 2103, 81, 5002, 16447, 346, 284, 415, 646, 537, 81, 983, 44, 291, 442, 284, 47410, 2675, 81, 6690, 32, 470, 2121, 440, 4065, 392, 537, 81, 983, 27, 203, 50, 12408, 32, 12940, 26, 3473, 347, 2848, 657, 203, 589, 6765, 26, 1357, 30, 3691, 1515, 81, 6690, 30, 47410, 2675, 81, 6690, 711, 284, 537, 81, 2833, 280, 3691, 1515, 81, 6690, 32, 10174, 463, 2833, 683, 284, 47410, 2675, 81, 6690, 32, 470, 2121, 463, 8439, 370, 596, 26, 890, 81, 2833, 490, 284, 442, 537, 81, 2833, 203, 50, 12408, 32, 12940, 26, 3473, 347, 2848, 657, 203, 589, 598, 81, 1786, 26, 1357, 30, 6765, 30, 3691, 1515, 81, 6690, 30, 4533, 983, 81, 1347, 81, 24502, 711, 284, 415, 1505, 81, 625, 440, 5007, 392, 225, 36, 34, 34, 36, 711, 291, 442, 284, 3261, 81, 983, 280, 2322, 32, 983, 32, 48271, 26, 604, 97, 7925, 3667, 761, 505, 5594, 34, 79, 284, 1245, 81, 983, 280, 3691, 1515, 81, 6690, 32, 2524, 440, 315, 7925, 32, 751, 657, 284, 4774, 280, 5461, 101, 904, 101, 32, 978, 769, 9362, 6132, 101, 1477, 20, 904, 308, 291, 5237, 32, 21823, 30, 3261, 81, 983, 30, 1245, 81, 983, 27, 284, 11504, 280, 16539, 32, 45606, 26, 3515, 30, 9073, 47, 1815, 27, 284, 11504, 32, 1684, 346, 284, 8349, 280, 1133, 32, 1003, 346, 284, 44606, 280, 225, 34, 32, 35, 284, 2218, 646, 1505, 81, 625, 463, 5007, 370, 225, 36, 34, 34, 36, 711, 291, 1133, 32, 7840, 26, 3403 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 6, 6, 5, 5, 8, 9, 7, 8, 7, 10, 10, 9, 10, 10, 10, 9, 3, 3, 6, 7, 7, 7, 6, 7, 7, 7, 10, 10, 9, 10, 9, 11, 10, 11, 9, 3, 3, 4, 5, 5, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 4, 6, 4, 4, 6, 3, 3, 4, 6, 7, 7, 5, 5, 7, 7, 4, 4, 8, 7, 7, 10, 9, 10, 10, 9, 4, 4, 5, 5, 5, 9, 8, 8, 11, 10, 11, 11, 10, 11, 10, 3, 3, 6, 7, 7, 7, 6, 8, 8, 7, 8, 6, 3, 3, 4, 5, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 4, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 2, 2, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 5, 6, 6, 4, 4, 4, 3, 3, 7, 7, 7, 6, 7, 7, 6, 8, 8, 6, 7, 7, 6, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 1, 2, 2, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 2, 6, 6, 5, 5, 8, 8, 8, 7, 8, 7, 9, 9, 3, 3, 7, 7, 7, 6, 7, 7, 6, 8, 8, 6, 8, 9, 9, 9, 8, 3, 3, 4, 5, 5, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 2, 2, 4, 6, 6, 6, 8, 8, 6, 7, 7, 7, 7, 6, 4, 4, 3, 3, 6, 6, 5, 5, 9, 10, 8, 9, 8, 10, 10, 10, 9, 10, 10, 8, 7, 6, 3, 3, 6, 6, 5, 5, 8, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 3, 3, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 8, 9, 7, 7, 8, 8, 7, 7, 8, 8, 7, 3, 3, 5, 5, 7, 8, 7, 8, 7, 7, 8, 9, 7, 3, 3, 6, 7, 6, 3, 3, 5, 5, 7, 8, 7, 3, 3, 5, 5, 6, 6, 6, 3, 3, 4, 5, 7, 7, 7, 9, 9, 7, 8, 8, 8, 8, 7, 4, 4, 8, 9, 8, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 0, 9, 9, 0, 1, 2, 2, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 2, 1, 4, 4, 4, 10, 10, 0, 0, 0, 11, 11, 0, 1, 2, 2, 1, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 12, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 13, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 4, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 3, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 3, 2, 1, 14, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 3, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 15, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 16, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 2, 2, 7, 7, 7, 7, 7, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 3, 3, 3, 3, 1, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 3, 2, 2, 5, 5, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 8, 1, 0, 0, 1, 1, 2, 1, 3, 3, 3, 3, 1, 8, 8, 0, 2, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 589, 19721, 81, 19434, 26, 19434, 2396, 30, 309, 3534, 711, 334, 1105, 91, 280, 2065, 32, 9880, 1162, 2713, 449, 30, 2713, 449, 30, 2713, 449, 30, 2713, 449, 490, 334, 436, 298, 328, 2155, 26, 34, 30, 2713, 449, 711, 10065, 436, 2678, 328, 2155, 26, 34, 30, 2713, 449, 711, 29625, 436, 540, 328, 2155, 26, 34, 30, 2713, 449, 711, 16189, 436, 309, 328, 2155, 26, 34, 30, 2713, 449, 711, 616, 354, 35, 280, 5097, 91, 2396, 77, 98, 306, 36, 30, 100, 306, 36, 30, 99, 306, 36, 30, 101, 306, 36, 79, 319, 308, 98, 23, 36, 610, 540, 23, 36, 27, 319, 308, 99, 23, 36, 610, 309, 23, 36, 27, 43393, 354, 36, 280, 5097, 91, 2396, 77, 98, 306, 36, 30, 101, 306, 36, 30, 99, 306, 36, 30, 100, 306, 36, 79, 319, 308, 98, 23, 36, 610, 309, 23, 36, 27, 319, 308, 99, 23, 36, 610, 540, 23, 36, 27, 43393, 1105, 91, 77, 98, 30, 99, 30, 100, 30, 101, 79, 280, 354, 35, 429, 354, 36, 5235, 442, 1105, 91, 203, 589, 1789, 1319, 81, 68, 22883, 26, 19434, 2396, 30, 15376, 30, 8026, 11257, 30, 358, 711, 334, 4406, 280, 2069, 26, 19434, 2396, 27, 334, 415, 646, 358, 44, 3701, 309, 3534, 280, 225, 36, 28, 3534, 284, 1105, 91, 280, 19721, 81, 19434, 26, 19434, 2396, 30, 309, 3534, 27, 284, 19721, 81, 17685, 280, 2065, 32, 9880, 1162, 2713, 449, 490, 284, 436, 595, 328, 2155, 26, 34, 30, 2713, 449, 711, 397, 19721, 81, 17685, 77, 91, 79, 280, 15376, 77, 91, 306, 36, 79, 284, 19721, 81, 17685, 280, 2065, 32, 13006, 26, 12868, 81, 17685, 27, 284, 399, 280, 2065, 32, 9880, 1162, 6515, 11257, 8088, 2713, 449, 31, 6515, 11257, 471, 6515, 11257, 8088, 2713, 449, 31, 6515, 11257, 2610, 284, 551, 280, 2065, 32, 9880, 1162, 6515, 11257, 8088, 2713, 449, 31, 6515, 11257, 471, 6515, 11257, 8088, 2713, 449, 31, 6515, 11257, 2610, 284, 33708, 280, 429, 35, 284, 436, 595, 328, 2155, 26, 34, 30, 6515, 11257, 711, 397, 436, 312, 328, 2155, 26, 6515, 11257, 30, 2713, 449, 711, 291, 33708, 1454, 225, 35, 291, 594, 84, 225, 280, 429, 35, 291, 436, 594, 328, 2155, 26, 34, 30, 6515, 11257, 711, 616, 436, 323, 328, 2155, 26, 6515, 11257, 30, 2713, 449, 711, 324, 594, 84, 1454, 225, 35, 324, 399, 77, 905, 30, 11620, 79, 280, 308, 12868, 81, 17685, 77, 83, 30, 83, 79, 429, 19721, 81, 17685, 77, 91, 30, 91, 1130, 766, 2855, 319, 308, 91, 610, 594, 27, 319, 308, 83, 610, 323, 27, 474, 1105, 91, 77, 83, 30, 92, 30, 91, 30, 84, 79, 324, 551, 77, 905, 30, 11620, 79, 280, 1105, 91, 77, 83, 30, 84, 30, 91, 30, 92, 79, 334, 4348, 358, 44, 3701, 399, 280, 2065, 32, 9880, 1162, 6515, 11257, 33, 36, 8088, 3534, 31, 6515, 11257, 33, 36, 471, 6515, 11257, 33, 36, 8088, 3534 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 6, 8, 8, 7, 8, 8, 7, 8, 8, 7, 8, 8, 7, 2, 2, 3, 3, 3, 5, 6, 5, 6, 6, 5, 3, 3, 5, 5, 5, 7, 8, 7, 8, 8, 7, 5, 5, 7, 7, 7, 9, 10, 9, 10, 10, 9, 7, 7, 9, 9, 9, 11, 12, 11, 12, 12, 11, 9, 9, 13, 12, 12, 16, 16, 15, 17, 16, 17, 15, 17, 16, 17, 15, 17, 16, 17, 15, 17, 16, 17, 15, 14, 14, 18, 17, 18, 16, 16, 17, 18, 15, 13, 13, 17, 16, 17, 15, 15, 16, 17, 14, 10, 10, 13, 12, 12, 16, 16, 15, 17, 16, 17, 15, 17, 16, 17, 15, 17, 16, 17, 15, 17, 16, 17, 15, 14, 14, 18, 17, 18, 16, 16, 17, 18, 15, 13, 13, 17, 16, 17, 15, 15, 16, 17, 14, 10, 10, 14, 13, 14, 13, 14, 13, 14, 13, 14, 13, 12, 12, 14, 13, 13, 14, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 7, 6, 2, 2, 3, 4, 3, 3, 3, 7, 6, 6, 8, 7, 8, 4, 4, 7, 6, 6, 8, 8, 8, 9, 9, 8, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 9, 4, 4, 5, 5, 5, 7, 8, 7, 8, 8, 7, 5, 5, 10, 10, 9, 10, 9, 8, 8, 9, 11, 10, 11, 9, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 11, 11, 10, 13, 13, 12, 13, 13, 11, 11, 11, 10, 13, 13, 12, 13, 13, 11, 4, 4, 6, 6, 8, 9, 8, 11, 11, 10, 13, 13, 12, 13, 13, 11, 11, 11, 10, 13, 13, 12, 13, 13, 11, 4, 4, 6, 6, 8, 4, 4, 5, 5, 5, 7, 8, 7, 8, 8, 7, 5, 5, 7, 7, 7, 9, 10, 10, 9, 10, 10, 9, 7, 7, 10, 10, 11, 8, 8, 11, 10, 10, 10, 12, 8, 8, 9, 9, 9, 11, 12, 11, 12, 12, 11, 9, 9, 11, 11, 11, 13, 14, 14, 13, 14, 14, 13, 11, 11, 15, 14, 14, 15, 12, 12, 15, 16, 15, 16, 15, 14, 14, 21, 21, 21, 20, 21, 20, 21, 20, 19, 19, 21, 21, 20, 21, 20, 21, 20, 17, 18, 17, 17, 20, 19, 19, 18, 16, 16, 19, 18, 18, 17, 15, 15, 17, 16, 17, 16, 17, 16, 17, 16, 17, 16, 12, 12, 15, 16, 15, 16, 15, 14, 14, 16, 15, 16, 15, 16, 15, 16, 15, 16, 15, 3, 3, 4, 4, 4, 4, 7, 7, 9, 10, 9, 13, 13, 12, 13, 11, 14, 13, 15, 15, 14, 15, 12, 13, 13, 12, 13, 11, 14 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 7, 7, 1, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 2, 0, 0, 6, 2, 0, 0, 8, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 2, 0, 0, 6, 2, 0, 0, 8, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 5, 5, 0, 0, 2, 0, 4, 0, 6, 0, 8, 0, 0, 0, 0, 2, 2, 2, 4, 4, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 3, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 3, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 1, 3, 3, 8, 8, 8, 1, 1, 1, 3, 3, 1, 8, 8, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 2, 5, 5, 0, 0, 0, 0, 1, 5, 5, 2, 2, 2, 1, 1, 1, 3, 3, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 2, 5, 5, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0, 1, 1, 0, 0, 2, 2, 2, 4, 2, 0, 1, 0, 0, 0, 1, 1, 3, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 4, 2, 6, 2, 8, 2, 5, 5, 0, 2, 0, 4, 0, 0, 0, 0, 2, 2, 2, 4, 2, 6, 2, 8, 2, 1, 1, 4, 4, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 3, 0 ]
[ 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, 2322, 203, 465, 2601, 9342, 203, 1070, 14785, 32, 2958, 32, 1580, 1188, 3523, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3219, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 9778, 318, 81, 9578, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 2677, 81, 3473, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 3298, 81, 16527, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 14999, 81, 3801, 304, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 4257, 424, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 2145, 81, 1356, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 7682, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 7682, 81, 1040, 203, 1070, 14785, 32, 12023, 32, 2215, 32, 2958, 32, 10705, 32, 8636, 81, 14298, 81, 16648, 1188, 766, 334, 16233, 15685, 29248, 30, 16233, 15685, 3402, 11723, 30, 35226, 81, 22370, 81, 2474, 203, 589, 1487, 81, 1696, 81, 5176, 26, 1516, 81, 17733, 30, 1929, 81, 1069, 30, 7079, 347, 7052, 10280, 334, 10366, 81, 11170, 280, 428, 625, 9342, 32, 8800, 81, 12085, 81, 625, 346, 436, 617, 328, 2155, 26, 1516, 81, 17733, 2177, 334, 9661, 81, 11170, 280, 428, 625, 9342, 32, 8800, 81, 12085, 81, 625, 346, 436, 617, 328, 2155, 26, 1516, 81, 1069, 2177, 334, 4904, 81, 2665, 280, 301, 397, 313, 9889, 563, 3037, 5007, 6069, 101, 20, 904, 2601, 436, 2601, 328, 10366, 81, 11170, 614, 397, 313, 1069, 563, 3037, 5007, 6069, 101, 20, 904, 2601, 436, 2601, 328, 9661, 81, 11170, 79, 334, 320, 334, 9101, 280, 2145, 81, 1356, 32, 4607, 2710, 26, 5176, 81, 2665, 27, 334, 20441, 280, 428, 397, 2145, 81, 1356, 32, 2059, 26, 616, 9101, 30, 3992, 81, 426, 347, 9889, 392, 7079, 47, 5721, 30, 2899, 81, 1055, 47, 782, 30, 1477, 47, 1815, 27, 397, 436, 19501, 328, 2155, 26, 1516, 81, 17733, 27, 334, 1481, 334, 9661, 81, 13547, 280, 428, 397, 2145, 81, 1356, 32, 2059, 26, 616, 9101, 30, 3992, 81, 426, 347, 1069, 392, 7079, 47, 5721, 30, 2899, 81, 1055, 47, 782, 30, 1477, 47, 1815, 27, 397, 436, 19501, 328, 2155, 26, 1516, 81, 1069, 27, 334, 1481, 334, 442, 4904, 81, 2665, 30, 20441, 30, 9661, 81, 13547, 203, 589, 617, 371, 81, 17733, 26, 1516, 81, 17733, 30, 7918, 30, 20441, 30, 14089, 81, 3306, 30, 1929, 81, 1069, 47, 35, 711, 334, 20996, 280, 1605, 334, 26611, 280, 1605, 334, 5683, 81, 4156, 280, 1605, 334, 4257, 5232, 280, 1605, 334, 436, 10366, 81, 314, 328, 2155, 26, 1516, 81, 17733, 711, 284, 3996, 280, 13714, 32, 3406, 346, 284, 438, 81, 380, 21918, 280, 308, 9889 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 5, 5, 1, 1, 5, 5, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 5, 6, 6, 6, 8, 9, 9, 9, 8, 2, 2, 5, 5, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 5, 6, 6, 6, 8, 9, 9, 9, 8, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 10, 10, 8, 8, 7, 8, 8, 8, 9, 9, 7, 5, 5, 8, 8, 6, 10, 10, 10, 10, 8, 8, 7, 8, 8, 8, 9, 9, 7, 5, 5, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 5, 5, 8, 8, 7, 8, 7, 7, 7, 7, 7, 9, 9, 8, 10, 10, 7, 8, 9, 7, 7, 9, 9, 8, 9, 7, 7, 8, 9, 7, 5, 5, 6, 6, 6, 8, 9, 9, 9, 8, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 7, 8, 7, 7, 7, 7, 7, 9, 9, 8, 10, 10, 7, 8, 9, 7, 7, 9, 9, 8, 9, 7, 7, 8, 9, 7, 5, 5, 6, 6, 6, 8, 9, 9, 9, 8, 5, 5, 2, 2, 3, 5, 5, 4, 4, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 5, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9 ]
[ 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, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 18, 18, 1, 2, 1, 4, 18, 18, 0, 0, 0, 19, 19, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 10, 10, 10, 10, 19, 19, 3, 19, 0, 0, 19, 19, 0, 0, 0, 19, 19, 0, 0, 0, 0, 0, 20, 20, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 1, 2, 20, 20, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 2, 1, 5, 2, 1, 1, 0, 0, 7, 2, 1, 1, 9, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 2, 1, 5, 2, 1, 1, 0, 0, 7, 2, 1, 1, 9, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 6, 0, 0, 1, 1, 1, 1, 4, 4, 0, 21, 21, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 0, 0, 9, 2, 2, 21, 21, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 296, 31501, 203, 1070, 296, 31501, 32, 2304, 1188, 2022, 102, 30, 281, 466, 203, 1070, 296, 31501, 1188, 3124, 1216, 30, 617, 203, 589, 5742, 26, 9211, 47, 2521, 711, 203, 202, 325, 646, 10582, 44, 10582, 280, 2149, 203, 202, 26217, 81, 101, 21343, 280, 622, 81, 26217, 81, 101, 21343, 26, 9211, 27, 203, 202, 6057, 30, 484, 2286, 81, 2516, 30, 409, 86, 81, 2516, 280, 622, 81, 6057, 26, 26217, 81, 101, 21343, 27, 203, 202, 422, 81, 1928, 1223, 81, 1110, 280, 622, 81, 422, 81, 1928, 1223, 81, 1110, 26, 26217, 81, 101, 21343, 27, 203, 202, 422, 81, 981, 81, 1110, 280, 622, 81, 422, 81, 981, 81, 1110, 26, 26217, 81, 101, 21343, 27, 203, 202, 605, 280, 1605, 203, 202, 979, 10051, 328, 42051, 81, 101, 21343, 44, 357, 202, 643, 280, 428, 422, 32, 11930, 30, 10051, 32, 11930, 81, 426, 30, 10051, 32, 6586, 30, 10051, 32, 18495, 30, 10051, 32, 44598, 30, 8667, 202, 422, 32, 6604, 30, 10051, 32, 5904, 30, 10051, 32, 12890, 81, 1793, 303, 81, 7007, 30, 10051, 32, 7948, 81, 6124, 79, 357, 202, 979, 484, 328, 484, 2286, 81, 2516, 44, 355, 202, 643, 32, 1689, 26, 422, 81, 1928, 1223, 81, 1110, 32, 371, 26, 422, 32, 426, 30, 43241, 371, 26, 87, 490, 357, 202, 643, 1454, 428, 422, 32, 282, 46675, 81, 5545, 30, 10051, 32, 12890, 81, 1325, 917, 469, 81, 5545, 30, 10051, 32, 89, 3503, 81, 7007, 79, 357, 202, 979, 343, 328, 409, 86, 81, 2516, 44, 355, 202, 643, 32, 1689, 26, 422, 81, 981, 81, 1110, 32, 371, 26, 422, 32, 426, 30, 43241, 371, 26, 86, 490, 357, 202, 643, 1454, 428, 422, 32, 2999, 81, 981, 2927, 30, 10051, 32, 1299, 81, 7007, 79, 357, 202, 605, 32, 1689, 26, 643, 27, 203, 202, 601, 6090, 30, 706, 203, 589, 622, 81, 6057, 26, 26217, 81, 101, 21343, 711, 203, 202, 6057, 280, 428, 357, 202, 37158, 12921, 657, 474, 10685, 2359, 33, 12921, 44, 35, 36, 34, 392, 26155, 12921, 3270, 657, 474, 32882, 35, 38, 34, 392, 26155, 10094, 657, 474, 10685, 2359, 33, 10094, 44, 35, 36, 34, 392, 4512, 202, 37158, 19051, 657, 474, 10685, 2359, 33, 19051, 44, 35, 36, 34, 392, 26155, 8899, 367, 657, 474, 10685, 2359, 33, 8899, 367, 44, 35, 36, 34, 392, 355, 26155, 12309, 657, 474, 10685, 2359, 33, 12309, 44, 35, 36, 34, 392, 26155, 7357, 657, 474, 32882, 42, 34, 392, 26155, 16204, 31621, 18425, 657, 474, 10685, 3670, 44, 35, 37, 34, 392, 4512, 202, 37158, 8633, 48573, 657, 474, 10685, 3670, 44, 35, 36, 34, 20, 203, 202, 79, 203, 202, 1928, 1223, 81, 2516, 280, 296, 31501, 32, 1199, 32, 2602, 81, 668, 27265, 1613, 19088, 484, 81, 681, 645, 529, 3007, 40297, 358, 2794, 516, 2286, 82, 357, 202, 2767, 415, 1693, 26, 87, 81, 10454, 81, 5545, 30, 225, 34, 27, 863, 225, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 3, 4, 3, 3, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 6, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 4, 4, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 7, 6, 6, 9, 8, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 10, 9, 10, 9, 14, 14, 14, 14, 14, 14, 13, 14, 13, 15, 14, 15, 13, 13, 12, 11, 12, 11, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 7, 4, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 10, 9, 10, 9, 14, 14, 14, 14, 14, 13, 14, 13, 15, 14, 15, 13, 13, 12, 11, 12, 11, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 8, 7, 8, 7, 8, 7, 2, 2, 3, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 4, 4, 5, 5, 8, 10, 10, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 10, 10, 10, 6, 6, 8, 8, 8, 8, 5, 10, 10, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 10, 10, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 10, 10, 10, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 10, 10, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 10, 10, 6, 6, 8, 8, 8, 5, 10, 10, 10, 10, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 10, 10, 10, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 8, 7, 8, 6, 7, 7, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 0, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 2, 0, 11, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 2, 2, 2, 2, 2, 2, 17, 2, 2, 2, 2, 5, 5, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 5, 0, 0, 2, 1, 1, 1, 4, 4, 7, 7, 1, 1, 0, 5, 5, 1, 1, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 13, 13, 1, 1, 2, 2, 1, 1, 1, 2, 15, 15, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 17, 17, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 8206, 13835, 32, 2958, 32, 13425, 1188, 34321, 203, 1070, 8206, 13835, 32, 2958, 32, 3477, 1188, 322, 1598, 1215, 203, 1070, 8206, 13835, 32, 28783, 32, 7353, 1188, 42397, 720, 203, 1070, 8206, 13835, 32, 28783, 32, 2795, 1188, 281, 24426, 332, 203, 1070, 8206, 13835, 32, 22402, 32, 1040, 1188, 617, 12085, 1006, 4542, 203, 1070, 8206, 13835, 32, 22402, 1114, 4396, 10340, 1188, 617, 24841, 4470, 203, 1070, 8206, 13835, 32, 22402, 1114, 2452, 32, 9889, 1188, 7089, 8068, 30, 7089, 8068, 7108, 203, 1070, 8206, 13835, 32, 22402, 1114, 2452, 32, 2452, 24124, 1188, 9306, 20624, 203, 1070, 8206, 13835, 32, 22402, 32, 24124, 1188, 1683, 6008, 12069, 20624, 4672, 203, 1070, 8206, 13835, 32, 22402, 1114, 2452, 1188, 617, 8703, 527, 81, 7108, 81, 14172, 521, 30, 617, 8703, 527, 81, 7108, 81, 39790, 203, 823, 9306, 33991, 7981, 26, 1473, 711, 284, 617, 2452, 20624, 2214, 280, 9306, 20624, 284, 665, 617, 2682, 1394, 26, 784, 711, 291, 29877, 280, 630, 1114, 24124, 2214, 26, 784, 1114, 2238, 30, 630, 1114, 7163, 1643, 30, 11244, 4011, 1003, 47, 784, 1114, 100, 391, 31645, 27, 291, 415, 630, 1114, 956, 1073, 12069, 44, 324, 29877, 280, 1683, 6008, 12069, 20624, 4672, 26, 24124, 27, 291, 442, 630, 1114, 2452, 20624, 2214, 26, 24124, 27, 284, 665, 1156, 1664, 3207, 784, 30, 29877, 2214, 30, 10366, 1918, 30, 10366, 8555, 30, 353, 3443, 47, 2521, 30, 353, 27374, 2207, 1057, 1536, 370, 353, 4011, 1043, 7352, 47, 2700, 30, 353, 707, 6008, 12069, 47, 2700, 30, 353, 47149, 1057, 858, 32, 751, 370, 353, 4740, 4542, 40547, 22402, 81, 1433, 7831, 291, 630, 1114, 9889, 1918, 280, 10366, 1918, 291, 630, 1114, 9889, 8555, 280, 10366, 8555, 291, 630, 1114, 24124, 2214, 280, 29877, 2214, 291, 415, 3443, 438, 1665, 44, 324, 3443, 280, 5237, 32, 9362, 291, 630, 1114, 2238, 280, 3443, 291, 630, 1114, 7163, 1643, 280, 27374, 2207, 291, 630, 1114, 100, 391, 31645, 280, 4011, 1043, 7352, 291, 630, 1114, 956, 1073, 12069, 280, 707, 6008, 12069, 291, 630, 1114, 1267, 280, 1665, 291, 630, 1114, 13578, 4542, 280, 4740, 4542, 291, 630, 1114, 751, 974, 280, 47149, 291, 630, 1114, 751, 974, 9134, 280, 1665, 291, 630, 1114, 751, 44589, 280, 1665, 291, 630, 1114, 751, 12069, 280, 3177, 284, 665, 2866, 5472, 26, 784, 30, 1056, 711, 291, 1056, 32, 5087, 346, 284, 665, 1487, 3325, 32591, 26, 784, 30, 29234, 30, 4740, 4542, 711, 291, 442, 428, 3325, 8068, 26, 5721, 30, 1014, 2322, 32, 983, 32, 2524, 26, 13578, 4542, 30, 596, 26, 106, 3662, 1014, 630, 1114, 751, 974, 27, 400, 436, 816, 30, 7079, 328, 10703, 26, 31423, 2177, 284, 665, 11303, 8068, 31955, 26, 784, 30, 1869, 43530, 30, 29234, 30, 4209, 711, 291, 1389, 581, 12539, 1215, 280, 322, 1598, 1215, 77, 324, 330, 4148, 13835, 32, 22402, 1114, 2452, 32, 1007, 581, 12539, 5695, 14753, 32, 983, 291, 2838, 6344, 101, 280, 301, 34, 44, 330, 105, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 10, 8, 8, 8, 10, 9, 11, 10, 11, 11, 11, 8, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 11, 10, 4, 4, 5, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 6, 4, 4, 4, 6, 5, 7, 7, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 7, 7, 7, 7, 4, 4, 6, 5, 7, 7, 7, 7, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 9, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 9, 8, 8, 8, 11, 12, 10, 11, 10, 11, 11, 10, 10, 12, 13, 12, 8, 8, 9, 10, 10, 8, 6, 6, 7, 8, 8, 7, 7, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 6, 6, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 7, 8, 4, 4, 7, 7, 6, 6, 9, 8, 8, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 4, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 8, 8, 0, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 1, 4, 1, 6, 6, 9, 9, 0, 0, 10, 10, 0, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 0, 11, 11, 0, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 1, 0, 5, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 2, 0, 11, 1, 2, 2, 2, 0, 0, 13, 2, 2, 2, 2, 0, 0, 15, 2, 2, 2, 2, 17, 1, 1, 1, 2, 2, 2, 0, 19, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2 ]
[ 9592, 203, 4470, 436, 8117, 99, 2304, 6122, 203, 9592, 203, 465, 2322, 203, 465, 15798, 203, 465, 310, 5360, 2304, 32, 37539, 32, 2998, 203, 1070, 310, 5360, 2304, 32, 37539, 1188, 44191, 67, 203, 823, 18968, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 7334, 26, 784, 711, 291, 18146, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 858, 32, 37539, 683, 291, 1779, 94, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 858, 81, 1433, 94, 683, 291, 310, 5360, 2304, 32, 37539, 32, 2998, 32, 37539, 81, 2998, 26, 10555, 30, 1779, 94, 30, 225, 36, 30, 28805, 47, 1815, 27, 291, 630, 32, 6549, 26, 500, 32, 983, 32, 4658, 15339, 101, 32, 35, 32, 37539, 25, 904, 1779, 94, 490, 291, 630, 32, 6549, 26, 500, 32, 983, 32, 4658, 15339, 101, 32, 36, 32, 37539, 25, 904, 1779, 94, 490, 291, 48540, 35, 280, 44191, 67, 15339, 101, 32, 35, 32, 37539, 25, 904, 1779, 94, 27, 291, 48540, 36, 280, 44191, 67, 15339, 101, 32, 36, 32, 37539, 25, 904, 1779, 94, 27, 291, 4467, 35, 280, 428, 106, 32, 27207, 436, 816, 328, 48540, 35, 32, 5140, 26, 22290, 47, 1815, 2177, 291, 630, 32, 5299, 26, 4243, 35, 30, 2107, 3986, 517, 35, 370, 330, 3986, 517, 36, 370, 330, 12448, 517, 35, 370, 330, 12448, 517, 36, 3490, 291, 4467, 36, 280, 428, 106, 32, 27207, 436, 816, 328, 48540, 36, 32, 5140, 26, 22290, 47, 1815, 2177, 291, 630, 32, 5299, 26, 4243, 36, 30, 2107, 1632, 517, 35, 370, 330, 1632, 517, 36, 3490, 291, 48540, 35, 32, 2679, 346, 291, 48540, 36, 32, 2679, 346, 291, 2322, 32, 23754, 15339, 101, 32, 35, 32, 37539, 25, 904, 1779, 94, 27, 291, 2322, 32, 23754, 15339, 101, 32, 36, 32, 37539, 25, 904, 1779, 94, 27, 284, 665, 894, 7334, 42704, 26, 784, 711, 291, 18146, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 858, 32, 37539, 683, 291, 1779, 94, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 858, 81, 1433, 94, 683, 291, 310, 5360, 2304, 32, 37539, 32, 2998, 32, 37539, 81, 2998, 26, 10555, 30, 1779, 94, 30, 225, 36, 30, 39097, 47, 1815, 30, 28805, 47, 1815, 27, 291, 630, 32, 6549, 26, 500, 32, 983, 32, 4658, 15339, 101, 32, 35, 32, 37539, 32, 6680, 25, 904, 1779, 94, 490, 291, 630, 32, 6549, 26, 500, 32, 983, 32, 4658, 15339, 101, 32, 36, 32, 37539, 32, 6680, 25, 904, 1779, 94, 490, 291, 2322, 32, 23754, 15339, 101, 32, 35, 32, 37539, 32, 6680, 25, 904, 1779, 94, 27, 291, 2322, 32, 23754, 15339, 101, 32, 36, 32, 37539, 32, 6680, 25, 904, 1779, 94, 27, 284, 665, 894, 7334, 1061, 41376, 26, 784, 711, 291, 18146, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 8, 10, 10, 10, 10, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 8, 10, 10, 10, 10, 10, 4, 4, 10, 10, 9, 10, 8, 9, 7, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 10, 10, 11, 9, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 10, 10, 11, 9, 4, 4, 7, 6, 6, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 10, 8, 4, 4, 7, 6, 6, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 10, 8, 4, 4, 7, 6, 6, 9, 8, 9, 7, 8, 8, 8, 11, 10, 11, 10, 12, 11, 12, 10, 4, 4, 7, 8, 7, 8, 8, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 7, 6, 6, 9, 8, 9, 7, 8, 8, 8, 11, 10, 11, 10, 12, 11, 12, 10, 4, 4, 7, 8, 7, 8, 8, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 8, 7, 8, 7, 4, 4, 8, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 8, 8, 9, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 8, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 8, 10, 10, 10, 10, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 8, 10, 10, 10, 10, 10, 4, 4, 10, 10, 9, 10, 8, 9, 7, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 9, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 0, 1, 2, 2, 5, 5, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 2, 1, 1, 9, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2 ]
[ 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 465, 15798, 203, 858, 81, 1515, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 203, 3731, 32, 983, 32, 8233, 2009, 284, 2322, 32, 983, 32, 19573, 49149, 26, 500, 32, 983, 32, 2524, 26, 858, 81, 1515, 30, 31001, 370, 31001, 370, 330, 4280, 13356, 284, 2322, 32, 983, 32, 2524, 26, 858, 81, 1515, 471, 203, 1130, 203, 465, 2290, 81, 9059, 366, 81, 4280, 225, 203, 1070, 6325, 81, 3592, 32, 5266, 81, 775, 106, 1188, 16041, 63, 1271, 35506, 203, 1070, 2676, 81, 1902, 81, 1621, 1188, 9712, 81, 17099, 30, 4060, 81, 17099, 225, 203, 823, 22301, 2275, 15757, 1006, 26, 11069, 63, 1271, 35506, 711, 334, 665, 14553, 26, 784, 711, 284, 16041, 63, 1271, 35506, 32, 23741, 26, 784, 27, 284, 1509, 81, 1237, 280, 630, 32, 775, 106, 32, 1922, 3660, 37138, 346, 284, 1509, 81, 1237, 32, 268, 280, 316, 284, 1688, 81, 1237, 280, 630, 32, 775, 106, 32, 1922, 3660, 37138, 346, 284, 630, 32, 17099, 280, 4060, 81, 17099, 32, 60, 2117, 806, 265, 26, 1131, 81, 1237, 30, 1688, 81, 1237, 27, 334, 665, 1390, 13360, 26, 784, 30, 1628, 30, 1048, 711, 284, 1048, 81, 4446, 280, 1048, 32, 2998, 9442, 96, 683, 284, 8839, 280, 1048, 81, 4446, 77, 731, 81, 4446, 32, 1055, 26, 928, 27, 474, 225, 35, 79, 284, 442, 35617, 2524, 26, 380, 35, 436, 308, 380, 35, 30, 663, 36, 27, 328, 8529, 26, 928, 30, 8839, 27, 415, 663, 36, 610, 25366, 683, 334, 665, 9043, 4976, 2775, 2140, 26, 784, 30, 1628, 711, 284, 1048, 280, 630, 32, 17099, 32, 2775, 2140, 26, 35, 30, 1628, 27, 284, 630, 32, 31196, 1324, 22869, 1048, 30, 291, 330, 6469, 526, 4655, 3886, 619, 1418, 1048, 44, 330, 474, 1628, 27, 284, 630, 32, 5299, 26, 784, 32, 936, 13360, 26, 928, 30, 1048, 471, 330, 913, 683, 334, 665, 9043, 6129, 2775, 2140, 26, 784, 30, 1628, 711, 284, 630, 32, 5299, 22869, 630, 32, 17099, 32, 2775, 2140, 26, 35, 30, 1628, 471, 291, 330, 6469, 646, 526, 4655, 3886, 619, 1418, 1048, 44, 330, 474, 1628, 27, 334, 665, 894, 2775, 33718, 26, 784, 711, 284, 5430, 280, 428, 291, 313, 913, 9214, 280, 330, 1632, 920, 392, 291, 313, 264, 660, 5697, 280, 330, 3986, 920, 392, 291, 313, 869, 660, 280, 225, 34, 13959, 291, 313, 869, 816, 280, 225, 39, 45, 660, 533, 280, 225, 40, 13959, 291, 313, 979, 308, 869, 595, 47, 34, 30, 660, 484, 47, 35, 34, 45, 595, 46, 87, 45, 595, 1987, 301, 392, 291, 313, 979, 308, 913, 816, 47, 34, 45, 816, 46, 3986, 45, 595, 1987, 301, 392, 291, 313, 5525, 308, 913, 816, 280, 225, 41, 27, 301, 392, 284, 1481, 284, 436, 1628, 328, 5430, 44, 397, 630, 32, 6469, 4976, 2775, 2140, 26, 928, 27, 334, 665, 894, 2775, 66, 2515, 26, 784, 711, 284, 5430, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 5, 4, 5, 3, 4, 3, 4, 4, 7, 8, 6, 7, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 8, 10, 8, 10, 10, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 4, 4, 0, 1, 1, 3, 3, 3, 3, 3, 0, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 8, 8, 7, 8, 7, 8, 7, 4, 4, 7, 7, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 4, 4, 8, 8, 7, 8, 6, 6, 4, 4, 7, 7, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 11, 10, 4, 4, 6, 6, 8, 8, 7, 11, 11, 11, 10, 11, 10, 11, 10, 8, 8, 9, 7, 4, 4, 5, 8, 7, 8, 8, 7, 8, 10, 10, 9, 9, 10, 9, 8, 8, 10, 11, 10, 10, 10, 7, 8, 10, 9, 9, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 8, 9, 8, 8, 8, 4, 4, 7, 8, 8, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 9, 10, 9, 9, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 7, 10, 11, 9, 10, 10, 9, 10, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 2, 2, 2, 7, 7, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 9, 9, 1, 1, 1, 2, 1, 1, 1, 1, 2, 9, 9, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 4, 4, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0 ]
[ 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, 6436, 619, 2065, 203, 1070, 18414, 1188, 8616, 203, 1070, 14785, 32, 12023, 1188, 28404, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 8348, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 3210, 280, 28404, 203, 19050, 280, 2065, 32, 3855, 32, 6096, 1078, 26, 38, 36, 27, 203, 823, 18423, 27623, 5947, 4728, 2235, 17965, 1006, 26, 858, 32, 7233, 711, 334, 665, 617, 3855, 81, 7111, 81, 4873, 26, 784, 30, 319, 3229, 711, 284, 2491, 280, 23735, 32, 6386, 2740, 3229, 27, 284, 663, 362, 280, 10180, 32, 4873, 81, 13006, 81, 3792, 26, 1287, 30, 4522, 47, 3997, 81, 4156, 32, 32649, 13608, 352, 27, 284, 663, 362, 280, 1417, 81, 4156, 32, 4873, 81, 11099, 81, 2050, 26, 380, 362, 30, 429, 35, 30, 225, 34, 27, 284, 442, 7744, 81, 4156, 32, 33902, 26, 380, 362, 30, 663, 362, 30, 1544, 11941, 81, 84, 47, 1815, 547, 6569, 346, 334, 665, 894, 22101, 2797, 13750, 1554, 3910, 46274, 4161, 26, 784, 711, 284, 623, 630, 32, 858, 81, 2848, 2262, 397, 11768, 280, 428, 35, 4317, 225, 36, 29336, 397, 16355, 280, 3813, 35, 4317, 225, 34, 32269, 428, 35, 4317, 225, 35, 32, 3212, 29625, 44165, 280, 10180, 32, 11235, 27623, 5947, 4728, 2235, 17965, 26, 6974, 30, 16355, 30, 6042, 81, 1132, 47, 1815, 27, 397, 623, 630, 32, 23895, 3397, 924, 440, 1206, 37038, 10280, 291, 44165, 32, 331, 17965, 922, 6569, 346, 334, 665, 894, 43279, 13834, 2797, 13750, 1554, 46274, 4161, 26, 784, 711, 284, 623, 630, 32, 858, 81, 2848, 2262, 397, 11768, 280, 23735, 32, 6386, 26, 35, 34, 27, 397, 16355, 280, 630, 1114, 3855, 81, 7111, 81, 4873, 26, 35, 34, 30, 225, 35, 34, 27, 397, 44165, 280, 10180, 32, 11235, 27623, 5947, 4728, 2235, 17965, 26, 6974, 30, 16355, 30, 6042, 81, 1132, 47, 1815, 27, 397, 44165, 32, 331, 17965, 922, 6569, 346, 334, 665, 894, 1335, 14960, 10651, 6536, 26, 784, 711, 284, 623, 630, 32, 858, 81, 2848, 2262, 397, 11768, 280, 23735, 32, 6386, 26, 36, 27, 397, 16355, 280, 630, 1114, 3855, 81, 7111, 81, 4873, 26, 36, 30, 225, 36, 27, 397, 44165, 280, 10180, 32, 11235, 27623, 5947, 4728, 2235, 17965, 26, 6974, 30, 16355, 30, 6042, 81, 1132, 47, 1815, 27, 397, 816, 280, 23735, 32, 6386, 26, 36, 27, 397, 1245, 81, 4682, 280, 44165, 32, 751, 81, 7151, 26, 106, 27, 397, 17117, 280, 44165, 32, 7151, 26, 106, 27, 397, 18414, 81, 30669, 280, 8616, 32, 7740, 27623, 81, 4382, 26, 6009, 47, 6974, 30, 28902, 47, 11756, 27, 397, 2799, 81, 751, 81, 4682, 280, 18414, 81, 30669, 32, 751, 4682, 26, 106, 27, 397, 2799, 81, 4682, 280, 18414, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 3, 2, 2, 0, 3, 2, 2, 5, 6, 4, 5, 5, 4, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 8, 10, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 11, 11, 11, 10, 11, 11, 11, 8, 4, 4, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 9, 8, 8, 10, 8, 8, 9, 8, 4, 4, 5, 10, 10, 9, 10, 9, 10, 10, 9, 9, 10, 9, 9, 11, 11, 11, 10, 11, 9, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 10, 10, 9, 5, 5, 8, 8, 10, 10, 9, 10, 10, 6, 6, 8, 8, 11, 11, 10, 11, 11, 9, 11, 11, 10, 11, 11, 10, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 11, 10, 11, 10, 10, 10, 10, 12, 12, 11, 12, 10, 6, 6, 7, 11, 12, 12, 12, 11, 13, 13, 13, 7, 7, 13, 14, 14, 13, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 10, 10, 9, 5, 5, 8, 8, 10, 11, 10, 11, 11, 10, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 11, 10, 10, 11, 11, 10, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 11, 10, 11, 10, 10, 10, 10, 12, 12, 11, 12, 10, 6, 6, 11, 12, 12, 11, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 10, 10, 9, 5, 5, 8, 8, 10, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 10, 10, 11, 10, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 11, 10, 11, 10, 10, 10, 10, 12, 12, 11, 12, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 6, 6, 9, 9, 9, 9, 8, 8, 11, 11, 10, 11, 11, 10, 11, 10, 6, 6, 9, 9, 8, 8, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 12, 12, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 12, 12, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 4, 4, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 0, 0, 0, 5, 2, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 0, 0, 1, 1, 1, 3, 3, 2, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 1, 3, 3, 3, 0, 2, 2, 2, 1, 1, 1, 2, 3, 3, 0, 2, 2, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 1, 3, 3, 0, 2, 2, 1, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 500, 104, 203, 823, 736, 81, 15699, 26, 500, 104, 32, 500, 104, 711, 284, 665, 617, 2795, 81, 998, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1600, 81, 426, 30, 1638, 30, 1619, 47, 2521, 711, 291, 4187, 280, 630, 32, 5178, 710, 2250, 32, 2795, 785, 291, 442, 301, 324, 25253, 81, 314, 44, 4187, 32, 1903, 81, 998, 26, 2446, 30, 1890, 30, 41449, 15699, 81, 314, 370, 16509, 25253, 81, 314, 14155, 1619, 47, 1819, 27, 324, 436, 25253, 81, 314, 328, 9668, 291, 320, 284, 617, 6815, 280, 330, 575, 32, 15699, 25, 284, 617, 6057, 280, 301, 291, 330, 2795, 81, 3631, 950, 3829, 32, 658, 36, 11374, 463, 2250, 32, 2795, 370, 330, 15699, 81, 314, 370, 330, 6701, 1425, 291, 330, 2795, 81, 998, 950, 3829, 32, 1126, 2176, 2795, 81, 998, 30, 802, 16786, 30433, 370, 827, 1057, 5823, 1425, 284, 320, 284, 665, 1933, 26, 784, 30, 5564, 30, 12373, 30, 3627, 81, 314, 30, 1244, 47, 2521, 30, 1619, 47, 2521, 711, 291, 415, 1244, 438, 1665, 44, 324, 1244, 280, 2149, 291, 1244, 710, 2795, 81, 3631, 785, 280, 1605, 291, 442, 2599, 26, 575, 81, 15699, 30, 630, 547, 2991, 26, 400, 5564, 30, 12373, 30, 3627, 81, 314, 30, 1244, 47, 1536, 30, 1619, 47, 1819, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 5, 6, 6, 8, 8, 7, 7, 9, 10, 10, 10, 9, 10, 9, 10, 9, 9, 13, 13, 13, 13, 11, 11, 12, 12, 11, 9, 10, 11, 9, 6, 6, 7, 8, 8, 7, 7, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 11, 11, 8, 9, 11, 11, 5, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 7, 9, 9, 9, 9, 6, 6, 4, 4, 5, 9, 10, 10, 10, 9, 9, 9, 8, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 2, 2, 13, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 7, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 5, 1, 2, 2, 2, 4, 4, 3, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 9, 2, 2, 2, 11, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 1, 1, 1, 2, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 2, 1, 1, 9, 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 ]
[ 1070, 1692, 1188, 3903, 203, 823, 21300, 1151, 26, 1151, 711, 284, 5578, 81, 10445, 225, 280, 313, 678, 3211, 20, 284, 5578, 81, 2418, 264, 280, 313, 678, 1386, 20, 284, 665, 1156, 1664, 3207, 784, 30, 2971, 411, 30, 323, 39907, 47, 2700, 30, 8250, 444, 47, 2700, 30, 11057, 1351, 1227, 882, 47, 34, 30, 44611, 882, 47, 34, 30, 1202, 2924, 882, 47, 34, 30, 16501, 16610, 22015, 47, 2700, 30, 3372, 22015, 47, 2700, 30, 23285, 5733, 22015, 47, 2700, 30, 3498, 22015, 47, 2700, 30, 30749, 2016, 22015, 47, 2700, 711, 291, 3903, 3667, 1664, 3207, 784, 30, 2971, 411, 30, 323, 39907, 30, 8250, 444, 27, 291, 630, 32, 23232, 280, 44611, 882, 291, 630, 32, 678, 2924, 280, 1202, 2924, 882, 291, 630, 32, 27551, 280, 1351, 1227, 882, 291, 630, 32, 5494, 953, 280, 5733, 22015, 291, 630, 32, 3825, 953, 280, 3372, 22015, 291, 630, 32, 2435, 953, 280, 3498, 22015, 291, 630, 32, 2501, 953, 280, 2016, 22015, 291, 630, 32, 7526, 953, 280, 16610, 22015, 556, 630, 32, 2435, 953, 556, 630, 32, 2501, 953, 284, 665, 7892, 26, 784, 711, 291, 442, 21300, 1151, 26, 784, 32, 681, 30, 630, 32, 84, 39907, 30, 630, 32, 8151, 444, 30, 30749, 630, 32, 27551, 30, 630, 32, 23232, 30, 630, 32, 678, 2924, 30, 39690, 630, 32, 7526, 953, 30, 630, 32, 3825, 953, 30, 630, 32, 5494, 953, 30, 45470, 630, 32, 2435, 953, 30, 630, 32, 2501, 953, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 309, 280, 13198, 12371, 1151, 827, 6132, 101, 323, 39907, 6132, 101, 8250, 444, 6132, 101, 25, 904, 766, 400, 308, 784, 32, 681, 30, 596, 26, 784, 32, 84, 39907, 471, 596, 26, 784, 32, 8151, 444, 490, 291, 309, 1454, 330, 27551, 6132, 101, 44611, 6132, 101, 1202, 2924, 6132, 101, 330, 904, 766, 400, 308, 466, 26, 784, 32, 27551, 471, 596, 26, 784, 32, 23232, 471, 596, 26, 784, 32, 678, 2924, 490, 291, 309, 1454, 330, 7526, 953, 6132, 101, 3372, 953, 6132, 101, 5733, 953, 6132, 101, 18262, 904, 766, 400, 308, 466, 26, 784, 32, 7526, 953, 471, 596, 26, 784, 32, 3825, 953, 471, 596, 26, 784, 32, 5494, 953, 490, 291, 442, 309, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 9, 8, 8, 9, 10, 10, 7, 7, 8, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 7, 9, 8, 9, 7, 7, 8, 9, 9, 7, 7, 8, 9, 9, 7, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 9, 7, 7, 7, 8, 9, 9, 7, 7, 8, 9, 9, 7, 7, 8, 9, 9, 7, 7, 7, 8, 9, 9, 7, 7, 8, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 7, 10, 9, 10, 8, 8, 10, 12, 11, 12, 12, 10, 8, 10, 12, 11, 12, 12, 10, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 7, 10, 10, 12, 11, 12, 10, 8, 10, 12, 11, 12, 10, 8, 10, 12, 11, 12, 12, 10, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 7, 10, 10, 12, 11, 12, 12, 10, 8, 10, 12, 11, 12, 12, 10, 8, 10, 12, 11, 12, 12, 10, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 0, 5, 2, 2, 2, 0, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 2, 0, 15, 2, 2, 2, 0, 17, 2, 2, 2, 2, 0, 19, 2, 2, 2, 0, 21, 2, 2, 2, 2, 0, 23, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 5, 2, 2, 1, 1, 1, 7, 2, 1, 1, 9, 2, 1, 1, 11, 2, 2, 1, 1, 1, 13, 2, 2, 1, 1, 15, 2, 2, 1, 1, 17, 2, 2, 1, 1, 1, 19, 2, 2, 1, 1, 21, 2, 2, 1, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 3, 3, 1, 0, 1, 2, 2, 1, 3, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 3, 1, 0, 1, 2, 1, 3, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 3, 1, 0, 1, 2, 2, 1, 3, 1, 0, 1, 2, 2, 1, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 420, 39, 978, 203, 465, 6436, 203, 465, 5741, 203, 1070, 3619, 20570, 1188, 475, 36386, 81, 13412, 81, 34046, 203, 1070, 3619, 20570, 32, 2516, 1188, 41858, 9273, 203, 1070, 3619, 20570, 32, 14097, 599, 1188, 3377, 619, 35498, 2132, 203, 465, 3619, 20570, 32, 27527, 32, 19745, 203, 465, 3619, 20570, 32, 27527, 32, 38447, 203, 1070, 3619, 20570, 32, 716, 1188, 5692, 1261, 203, 823, 617, 3160, 265, 3166, 4495, 2825, 26, 1473, 711, 284, 477, 16099, 284, 665, 617, 850, 81, 4151, 26, 4426, 30, 3829, 81, 1363, 30, 3829, 30, 1417, 81, 823, 30, 3486, 39135, 81, 1366, 47, 2521, 30, 39135, 81, 7568, 47, 2521, 30, 39135, 81, 416, 47, 2521, 30, 3486, 13330, 47, 2521, 711, 291, 415, 13330, 438, 646, 1665, 44, 324, 622, 81, 1055, 280, 13330, 291, 813, 44, 324, 622, 81, 1055, 280, 11828, 32, 371, 81, 6099, 26, 34076, 81, 1366, 47, 34076, 81, 1366, 30, 39135, 81, 416, 47, 34076, 81, 416, 30, 9474, 39135, 81, 7568, 47, 34076, 81, 7568, 27, 291, 12051, 280, 2149, 291, 2350, 280, 3829, 81, 1363, 474, 3056, 2537, 25, 291, 12051, 280, 301, 1495, 44, 11828, 77, 1363, 32, 1643, 26, 1495, 41193, 371, 81, 1055, 79, 1750, 436, 1600, 328, 3829, 111, 291, 442, 1417, 81, 823, 32, 1070, 81, 5321, 14605, 23692, 27, 284, 477, 17614, 284, 665, 1491, 81, 7088, 26, 6933, 30, 11828, 30, 3377, 30, 9801, 81, 1363, 47, 2521, 30, 3486, 39135, 81, 1366, 47, 34, 30, 39135, 81, 416, 47, 2521, 30, 39135, 81, 7568, 47, 35, 30, 3486, 13330, 47, 2521, 30, 1417, 81, 823, 47, 2521, 711, 291, 415, 9801, 81, 1363, 438, 1665, 44, 324, 9801, 81, 1363, 280, 11828, 32, 7088, 81, 1363, 291, 415, 1417, 81, 823, 438, 1665, 44, 324, 1417, 81, 823, 280, 5692, 1261, 291, 4195, 81, 4151, 280, 11828, 77, 7088, 81, 1363, 997, 3494, 346, 291, 2454, 4151, 280, 1417, 81, 823, 32, 2208, 81, 5138, 26, 5138, 30, 4195, 81, 4151, 27, 291, 442, 9011, 1114, 850, 81, 4151, 26, 4426, 30, 9801, 81, 1363, 30, 2454, 4151, 30, 1417, 81, 823, 30, 1378, 39135, 81, 1366, 47, 34076, 81, 1366, 30, 1378, 39135, 81, 7568, 47, 34076, 81, 7568, 30, 39135, 81, 416, 47, 34076, 81, 416, 30, 1378, 13330, 47, 19869, 27, 284, 477, 16099, 284, 665, 2866, 81, 7088, 81, 1363, 26, 4426, 30, 9801, 81, 1363, 30, 3829, 30, 9801, 711, 291, 436, 1600, 328, 9801, 32, 1495, 4243, 44, 324, 30666, 280, 17246, 22298, 2473, 1643, 26, 7088, 81, 1363, 30, 1600, 27, 324, 11828, 77, 17630, 79, 280, 9801, 77, 1495, 79, 284, 477, 17614, 284, 665, 310, 81, 29107, 81, 7088, 26, 6933, 30, 11828, 711, 291, 442, 9011, 32, 850, 81, 7088, 26, 4426, 30, 11828, 32, 4502, 81, 1132, 77, 34, 8492, 891, 203, 823, 43983, 974, 26, 90, 39, 978, 32, 974, 711, 284, 636, 280, 313, 28144, 20, 284, 9801, 81, 1363, 280, 330, 7088, 25 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 2, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 5, 5, 6, 6, 5, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 5, 6, 7, 5, 4, 4, 6, 7, 7, 7, 6, 6, 6, 10, 10, 9, 9, 6, 6, 7, 7, 7, 11, 11, 10, 10, 12, 13, 13, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 13, 14, 14, 14, 12, 12, 12, 14, 14, 13, 14, 14, 14, 12, 5, 5, 7, 7, 5, 5, 7, 7, 9, 9, 8, 8, 10, 10, 5, 5, 7, 7, 10, 9, 9, 11, 14, 13, 14, 13, 14, 13, 11, 11, 11, 10, 8, 8, 9, 9, 9, 8, 5, 5, 6, 9, 9, 8, 9, 9, 9, 8, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 7, 7, 6, 7, 5, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 5, 6, 7, 5, 5, 7, 7, 6, 7, 5, 4, 4, 6, 8, 8, 7, 7, 6, 6, 6, 10, 10, 9, 9, 10, 11, 11, 11, 5, 5, 6, 8, 8, 7, 7, 6, 6, 6, 10, 10, 9, 9, 10, 5, 5, 8, 8, 7, 7, 10, 11, 11, 11, 10, 10, 9, 5, 5, 8, 7, 7, 10, 10, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 9, 5, 5, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 9, 8, 8, 9, 9, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 9, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 7, 8, 8, 6, 6, 6, 9, 9, 13, 13, 12, 11, 12, 12, 12, 11, 11, 11, 7, 7, 10, 11, 10, 9, 9, 10, 11, 10, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 9, 10, 10, 10, 9, 10, 9, 9, 11, 12, 12, 12, 10, 11, 10, 8, 0, 1, 1, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 0, 1, 2, 2, 7, 7, 3, 3, 2, 0, 8, 8, 0, 1, 2, 1, 4, 0, 9, 9, 0, 1, 2, 1, 4, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 2, 15, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 2, 15, 2, 2, 2, 0, 0, 17, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 7, 7, 1, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 0, 0, 13, 2, 2, 2, 1, 1, 1, 15, 2, 1, 4, 4, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 3, 2, 0, 12, 12, 1, 2, 0, 0, 0, 1, 2, 2, 12, 12, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 301, 284, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 284, 330, 1517, 950, 2107, 8687, 2188, 284, 330, 7095, 81, 1170, 950, 330, 11863, 25, 203, 111, 203, 24021, 2893, 280, 1524, 284, 11470, 44, 544, 929, 1585, 284, 4081, 44, 397, 429, 358, 28026, 551, 2012, 22134, 11931, 101, 17317, 1421, 84, 27, 397, 429, 43991, 2523, 7011, 11931, 1373, 7011, 27, 397, 429, 26144, 475, 38475, 11931, 101, 11332, 38475, 27, 284, 1503, 81, 11043, 44, 313, 36, 32, 40, 20, 284, 10130, 44, 397, 429, 390, 26, 520, 27, 225, 35, 4049, 2016, 1628, 15471, 32, 2802, 632, 26, 641, 555, 3592, 32, 35, 2895, 32, 508, 33, 2501, 31, 928, 4242, 284, 4504, 81, 2310, 44, 5630, 1600, 2078, 645, 225, 35, 4049, 284, 3048, 44, 397, 429, 390, 26, 658, 2895, 27, 33845, 322, 390, 26, 520, 27, 2016, 1628, 15471, 372, 5630, 2818, 1600, 2078, 645, 225, 35, 4049, 32, 284, 2075, 44, 397, 617, 13086, 44, 291, 3048, 44, 7248, 26, 101, 27, 308, 7595, 30, 636, 30, 556, 40525, 45, 1135, 31, 2372, 10467, 27, 432, 1623, 26, 101, 27, 372, 10847, 32, 291, 2129, 44, 2933, 397, 1600, 44, 291, 3048, 44, 1600, 372, 442, 645, 2504, 9215, 1623, 308, 1732, 31, 2372, 10467, 547, 291, 1244, 44, 330, 2895, 25, 397, 6514, 81, 2895, 44, 291, 3048, 44, 886, 3882, 1654, 372, 25512, 322, 3191, 27781, 32, 291, 1244, 44, 1665, 291, 1503, 81, 11043, 44, 330, 36, 32, 41, 25, 291, 20664, 44, 2107, 14909, 81, 2895, 785, 397, 4169, 44, 291, 3048, 44, 6324, 4169, 6621, 322, 1600, 372, 10847, 308, 1732, 31, 2372, 10467, 547, 1670, 40118, 1098, 442, 1932, 2530, 645, 1346, 4169, 32, 291, 1244, 44, 1665, 397, 40525, 44, 291, 3048, 44, 886, 225, 35, 4049, 40525, 372, 21307, 8187, 32, 291, 1244, 44, 1665, 291, 1503, 81, 11043, 44, 330, 36, 32, 41, 25, 397, 952, 44, 291, 3048, 44, 886, 952, 1654, 372, 2596, 328, 32, 291, 1503, 81, 11043, 44, 330, 36, 32, 41, 25, 397, 9313, 81, 678, 44, 291, 3048, 44, 886, 9313, 1202, 1654, 1412, 23400, 600, 2815, 2596, 328, 32, 291, 1503, 81, 11043, 44, 330, 36, 32, 41, 25, 397, 27781, 44, 291, 3048, 44, 25421, 6621, 322, 1623, 372, 10847, 308, 1732, 31, 2372, 10467, 547, 1670, 40118, 1098, 3233, 1169, 27781, 101, 32, 291, 1244, 44, 1665, 284, 10173, 44, 397, 429, 1348, 11470, 1098, 793, 600, 4905, 225, 35, 4049, 3523, 415, 1591, 5375, 32, 1670, 646, 30, 461, 844, 1159, 3425, 291, 13555, 600, 2815, 2596, 328, 308, 6009, 299, 390, 26, 30127, 520, 33, 1163, 5375, 3662, 1615, 1755, 322, 390, 26, 2590, 81, 2895, 27, 438, 2129, 32, 291, 2448, 1631, 24480, 6377, 390, 26, 46716, 27, 328, 458, 13174, 30, 5878, 322, 2401, 1654, 40525, 1098, 526, 1654, 810 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9592, 203, 7559, 19077, 5426, 2825, 203, 9592, 203, 465, 316, 203, 1070, 13392, 1188, 21862, 619, 19907, 203, 1070, 13392, 1188, 6564, 750, 203, 1070, 13392, 32, 23726, 1188, 31571, 2825, 203, 1070, 13392, 32, 25819, 1188, 1390, 7334, 882, 720, 203, 1070, 13392, 32, 2825, 9197, 1188, 45921, 7866, 203, 1070, 2194, 32, 2825, 32, 7559, 5240, 959, 1188, 19612, 1811, 6315, 959, 203, 1070, 2194, 32, 2825, 32, 7559, 19077, 959, 1188, 19612, 1350, 4592, 203, 1070, 12259, 32, 7559, 2825, 25819, 1188, 19612, 12255, 17819, 203, 1070, 2194, 32, 2825, 32, 7559, 25819, 1188, 3081, 383, 7559, 203, 1070, 7139, 1188, 892, 1599, 619, 3849, 203, 1070, 12259, 32, 7559, 2825, 25819, 1188, 19612, 2825, 5426, 4058, 203, 589, 1390, 9197, 7866, 720, 26, 1811, 1777, 711, 284, 5969, 7866, 280, 4247, 284, 12754, 720, 280, 1605, 284, 12888, 1590, 17089, 11609, 2472, 280, 316, 32, 6993, 26, 100, 20, 14747, 101, 28, 46056, 101, 28, 5915, 81, 9292, 47331, 69, 78, 101, 28, 12194, 101, 28, 3424, 30145, 316, 32, 6737, 2320, 27, 284, 415, 12888, 1590, 17089, 11609, 2472, 32, 2872, 26, 1811, 1777, 711, 291, 5969, 7866, 280, 1390, 7334, 882, 720, 26, 1811, 1777, 30, 19907, 32, 18059, 81, 5907, 81, 34923, 30, 225, 35, 5594, 35, 79, 291, 5969, 7866, 280, 1390, 7334, 882, 720, 26, 2410, 7866, 30, 330, 12573, 225, 35, 5594, 34, 79, 291, 12754, 720, 280, 316, 32, 2998, 9442, 101, 44292, 5969, 7866, 27, 291, 3136, 7866, 720, 280, 1605, 291, 436, 12754, 328, 12754, 720, 44, 324, 415, 45921, 7866, 26, 7866, 711, 400, 3136, 7866, 720, 32, 1689, 26, 7866, 27, 291, 12754, 720, 280, 3136, 7866, 720, 284, 442, 12754, 720, 264, 203, 823, 19612, 48979, 5426, 2825, 26, 7559, 2825, 5426, 4058, 711, 284, 665, 19612, 19077, 2825, 26, 784, 30, 13630, 652, 30, 19612, 5426, 959, 30, 42607, 30, 13630, 6315, 711, 291, 415, 13630, 6315, 44, 324, 3097, 291, 31037, 6315, 56, 19011, 225, 280, 3177, 291, 10268, 12504, 280, 1605, 291, 13630, 1777, 280, 4247, 291, 12754, 720, 958, 280, 1605, 291, 617, 1777, 720, 261, 280, 1605, 291, 617, 882, 720, 262, 280, 1605, 291, 630, 32, 974, 3325, 42851, 710, 8703, 13184, 785, 280, 6564, 750, 32, 89, 8703, 13184, 291, 436, 7064, 328, 13630, 652, 44, 324, 7064, 1777, 280, 7064, 77, 34, 79, 324, 7064, 2023, 647, 280, 7064, 77, 35, 79, 324, 44553, 12504, 261, 280, 4247, 324, 7064, 6315, 264, 280, 1665, 324, 7064, 1120, 958, 280, 2107, 370, 429, 35, 30, 330, 785, 324, 7064, 1120, 77, 34, 79, 264, 280, 42607, 324, 7064, 1120, 77, 35, 79, 264, 280, 7064, 2023, 324, 7064, 1120, 77, 36, 79, 264, 280, 7064, 1777, 324, 415, 7064, 1777, 32, 7201, 346, 610, 40496, 400, 4036, 324, 415, 646, 12754, 720, 44, 400, 12754, 720, 280, 1390, 9197, 7866, 720, 26, 1811, 1777, 27, 324, 415, 7064, 1777, 32, 7201, 922, 15990, 26, 6271, 32, 18059, 81, 16884, 81, 34923, 711, 400, 415, 31037, 6315, 56, 19011 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 4, 2, 2, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 8, 8, 6, 2, 2, 3, 6, 6, 6, 6, 5, 6, 5, 6, 6, 5, 3, 3, 7, 6, 6, 9, 9, 9, 9, 10, 10, 9, 9, 10, 11, 11, 11, 11, 11, 9, 9, 10, 9, 8, 7, 4, 4, 7, 6, 6, 9, 9, 9, 9, 10, 10, 9, 9, 11, 9, 10, 9, 8, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 8, 9, 8, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 6, 5, 5, 5, 7, 9, 9, 10, 9, 7, 7, 12, 12, 11, 12, 11, 12, 11, 4, 4, 7, 6, 6, 7, 7, 2, 2, 3, 4, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 5, 5, 5, 4, 4, 7, 7, 7, 6, 6, 6, 4, 4, 7, 6, 6, 4, 4, 7, 6, 6, 4, 4, 7, 6, 6, 6, 4, 4, 7, 7, 6, 6, 6, 4, 4, 7, 7, 6, 6, 6, 4, 4, 8, 9, 9, 9, 7, 9, 9, 9, 6, 6, 8, 7, 8, 8, 8, 4, 4, 5, 5, 5, 6, 5, 5, 5, 9, 8, 8, 9, 10, 9, 6, 6, 9, 8, 8, 8, 9, 10, 9, 6, 6, 9, 8, 8, 8, 6, 6, 9, 8, 8, 8, 6, 6, 9, 8, 8, 8, 11, 9, 11, 9, 9, 11, 6, 6, 10, 9, 10, 9, 8, 8, 8, 6, 6, 10, 9, 10, 9, 8, 8, 8, 9, 6, 6, 10, 9, 10, 9, 8, 8, 8, 9, 6, 6, 7, 11, 10, 11, 10, 8, 8, 7, 7, 6, 6, 7, 8, 9, 7, 7, 7, 11, 10, 10, 12, 12, 12, 12, 13, 13, 12, 6, 6, 7, 12, 11, 12, 11, 10, 9, 11, 10, 11, 11, 11, 11, 11, 9, 7, 7, 9, 10, 10, 10 ]
[ 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 3, 3, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 6, 6, 1, 2, 2, 6, 6, 0, 0, 7, 7, 1, 2, 1, 4, 4, 4, 7, 7, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 4, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 2, 2, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 4, 10, 10, 0, 0, 0, 11, 11, 11, 11, 0, 3, 3, 0, 12, 12, 1, 2, 2, 2, 12, 12, 0, 0, 0, 0, 13, 13, 1, 1, 1, 2, 1, 1, 2, 13, 13, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 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, 1, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 5, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 1, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 3, 3, 4, 4, 4, 3, 4, 4, 4, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 4, 4, 4, 1, 0, 0, 14, 14, 1, 1, 1, 2, 1, 1, 1, 1, 2, 14, 14, 0, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 2, 2, 9, 2, 0, 0, 0, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 8, 8, 8, 3, 8, 8, 8, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 5, 5, 0, 0, 2, 0, 0, 0, 0, 5, 5, 0, 0, 2, 0, 0, 0, 0, 2, 5, 5, 0, 0, 2, 0, 0, 0, 0, 2, 5, 5, 8, 0, 0, 2, 1, 1, 1, 8, 8, 5, 5, 9, 1, 1, 9, 9, 9, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 5, 5, 10, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 10, 10, 0, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 505, 464, 505, 280, 428, 284, 9602, 1311, 41501, 9602, 1367, 41501, 9602, 3423, 41501, 9602, 1648, 41501, 9602, 2116, 41501, 284, 9602, 1935, 41501, 9602, 2077, 41501, 9602, 11794, 41501, 203, 79, 203, 505, 1311, 505, 280, 313, 45189, 20, 203, 505, 1367, 505, 280, 313, 2573, 2327, 3882, 42827, 436, 1370, 2932, 461, 1370, 13602, 20, 203, 505, 3423, 505, 280, 313, 641, 555, 933, 32, 508, 33, 978, 1173, 33, 45189, 5681, 203, 505, 1648, 505, 280, 313, 37, 32, 35, 32, 38, 20, 203, 505, 2116, 505, 280, 313, 1318, 4865, 24379, 14176, 6259, 543, 15462, 20, 203, 505, 1935, 505, 280, 313, 8861, 7944, 31, 1902, 50, 2958, 32, 1088, 20, 203, 505, 2077, 505, 280, 313, 19743, 1177, 30, 3036, 225, 36, 32, 34, 20, 203, 505, 11794, 505, 280, 313, 10581, 225, 36, 34, 35, 37, 31, 36, 34, 35, 40, 301, 34, 16054, 1643, 4064, 2116, 8223, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 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, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1070, 638, 29678, 1188, 10020, 411, 203, 589, 10081, 81, 14794, 26, 74, 711, 284, 10193, 280, 617, 90, 3280, 36319, 26, 74, 547, 25880, 346, 284, 10193, 32, 3323, 346, 284, 10193, 280, 2065, 32, 955, 26, 7711, 30, 9710, 47, 410, 27, 284, 10193, 32, 3229, 280, 7197, 35, 30, 225, 36, 27, 284, 442, 10193, 203, 823, 617, 58, 3280, 36319, 1078, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 7847, 81, 4873, 711, 291, 7847, 81, 4873, 280, 2065, 32, 269, 27977, 81, 36, 86, 26, 8030, 81, 4873, 27, 291, 28730, 14727, 280, 308, 8030, 81, 4873, 32, 3229, 77, 35, 79, 333, 7847, 81, 4873, 32, 3229, 77, 34, 1130, 291, 415, 28730, 14727, 44, 324, 630, 32, 53, 280, 308, 8030, 81, 4873, 32, 70, 547, 2991, 346, 291, 813, 44, 324, 630, 32, 53, 280, 7847, 81, 4873, 32, 2991, 346, 291, 630, 32, 35959, 14727, 280, 28730, 14727, 291, 310, 30, 345, 280, 630, 32, 53, 32, 3229, 291, 630, 32, 643, 81, 311, 11973, 280, 2065, 32, 5783, 26, 96, 30, 9710, 47, 2356, 32, 2420, 27, 291, 630, 32, 748, 81, 311, 11973, 280, 2065, 32, 5783, 26, 95, 30, 9710, 47, 2356, 32, 2420, 27, 291, 630, 32, 76, 34, 81, 100, 280, 225, 34, 291, 630, 32, 76, 34, 81, 85, 280, 225, 34, 291, 630, 32, 983, 280, 2065, 32, 9880, 1162, 96, 474, 345, 30, 225, 36, 471, 9710, 47, 410, 27, 291, 630, 32, 27262, 280, 2065, 32, 9880, 1162, 96, 30, 345, 471, 9710, 47, 410, 27, 284, 665, 617, 1809, 81, 17720, 81, 266, 81, 643, 26, 784, 30, 2698, 711, 291, 932, 280, 2065, 32, 29957, 26, 784, 32, 27262, 77, 643, 79, 610, 225, 36, 27, 291, 415, 630, 32, 27262, 77, 643, 30, 932, 79, 863, 225, 36, 44, 324, 932, 280, 429, 35, 291, 442, 932, 284, 665, 617, 3815, 81, 32779, 26, 784, 711, 291, 630, 32, 643, 81, 311, 11973, 31445, 280, 2933, 291, 630, 32, 748, 81, 311, 11973, 31445, 280, 2933, 203, 589, 617, 90, 3280, 36319, 26, 8030, 81, 4873, 711, 284, 1603, 280, 617, 58, 3280, 36319, 1078, 26, 8030, 81, 4873, 27, 284, 3111, 280, 1665, 415, 225, 34, 328, 7847, 81, 4873, 32, 3229, 813, 617, 2997, 35, 284, 2218, 3111, 438, 646, 1665, 44, 291, 3111, 280, 3111, 26, 1293, 27, 284, 3276, 280, 2065, 32, 955, 26, 2356, 32, 2767, 26, 1293, 32, 27262, 610, 225, 35, 3427, 70, 284, 415, 1603, 32, 35959, 14727, 44, 291, 3276, 280, 3276, 6894, 2037, 31, 35, 79, 284, 442, 3276, 203, 589, 617, 2997, 35, 26, 1293, 711, 284, 1603, 32, 53, 5912, 1603, 32, 53, 32, 887, 26, 5082, 47, 35, 27, 6894, 2065, 32, 890, 5082, 79, 284, 436, 595, 30, 594, 328, 8529, 2740, 2356, 32, 2767, 26, 1293, 32, 53, 610, 225, 34, 8531, 291, 415, 1603, 32, 748, 81, 311, 11973, 77, 92, 79, 461, 1603, 32, 643, 81, 311 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 8, 8, 8, 8, 9, 8, 7, 6, 2, 2, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 6, 2, 2, 5, 6, 4, 4, 7, 5, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 11, 11, 11, 10, 11, 9, 10, 9, 8, 8, 11, 11, 10, 11, 9, 10, 9, 4, 4, 5, 6, 5, 5, 5, 9, 10, 8, 8, 13, 13, 13, 12, 13, 11, 11, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 12, 12, 11, 12, 11, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 7, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 8, 9, 8, 8, 9, 11, 10, 11, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 8, 9, 8, 8, 9, 11, 10, 11, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 11, 10, 10, 9, 9, 10, 9, 8, 9, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 9, 9, 9, 8, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 12, 11, 12, 10, 11, 10, 9, 9, 10, 8, 4, 4, 5, 8, 9, 7, 8, 7, 7, 7, 6, 6, 7, 5, 5, 5, 8, 8, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 9, 7, 6, 6, 4, 4, 8, 9, 9, 9, 9, 7, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 4, 4, 5, 5, 7, 6, 6, 8, 8, 7, 8, 5, 5, 6, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 2, 2, 4, 4, 7, 8, 7, 10, 9, 10, 9, 12, 11, 12, 10, 10, 11, 9, 6, 2, 2, 3, 4, 5, 5, 3, 3, 3, 6, 6, 7, 7, 9, 10, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 5, 5, 6, 7, 7, 5, 2, 2, 3, 4, 4, 3, 3, 5, 9, 8, 9, 8, 11, 10, 11, 9, 9, 10, 8, 3, 3, 5, 8, 9, 9, 9, 9, 7, 8, 7, 6, 6, 8, 9, 9, 9 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 1, 2, 2, 3, 2, 4, 4, 4, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 4, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 4, 4, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 4, 4, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 4, 4, 4, 1, 2, 2, 4, 4, 4, 0, 0, 2, 2, 2, 1, 2, 4, 4, 5, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 4, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 12961, 1299, 32, 2958, 32, 3477, 1188, 4527, 203, 1070, 14785, 32, 2958, 32, 1040, 1188, 40564, 203, 50, 44136, 32, 15040, 26, 284, 313, 36, 34, 35, 41, 31, 34, 42, 31, 34, 35, 392, 284, 313, 1318, 477, 101, 566, 32, 19561, 32, 31897, 81, 6862, 26627, 1401, 2583, 13639, 372, 313, 284, 6640, 101, 566, 32, 31897, 81, 9578, 32, 5294, 1539, 372, 793, 322, 537, 3894, 32, 7788, 203, 589, 23261, 81, 6862, 26, 1959, 711, 334, 442, 4527, 32, 31897, 81, 9578, 26, 1959, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 2, 5, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 4, 6, 7, 7, 7, 6, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 505, 464, 505, 280, 2107, 4873, 81, 7370, 370, 330, 19596, 370, 330, 34471, 2921, 370, 330, 6800, 5817, 370, 330, 5817, 370, 2607, 330, 1506, 1882, 7643, 370, 330, 47950, 9359, 370, 330, 47950, 695, 615, 370, 330, 98, 5817, 370, 330, 101, 751, 2127, 370, 330, 2127, 370, 2607, 330, 33497, 370, 330, 47950, 370, 330, 87, 1799, 370, 330, 9980, 5664, 370, 330, 7927, 370, 330, 13589, 370, 330, 1328, 370, 330, 4873, 81, 6557, 370, 2607, 330, 7366, 32489, 924, 370, 330, 6844, 81, 4260, 785, 203, 465, 4134, 203, 465, 11685, 203, 1070, 6436, 32, 1262, 1188, 308, 284, 1417, 30, 619, 955, 30, 22483, 30, 3502, 30, 3502, 81, 6228, 30, 629, 85, 30, 3982, 30, 2064, 30, 284, 281, 6270, 30, 281, 2627, 30, 328, 16925, 30, 8640, 20707, 30, 537, 5082, 30, 1169, 30, 19612, 30, 8057, 30, 284, 1015, 30, 22213, 30, 17058, 30, 8117, 4001, 2185, 33557, 30, 3632, 30, 438, 11949, 30, 284, 296, 1338, 30, 1137, 1293, 30, 622, 47700, 13110, 30, 5169, 5082, 30, 312, 887, 30, 312, 1449, 30, 4054, 30, 11366, 30, 284, 821, 27977, 81, 36, 86, 30, 328, 491, 30, 619, 1813, 955, 30, 1300, 3739, 2491, 8829, 30, 284, 12947, 15019, 30, 24910, 30, 2385, 81, 38094, 30, 7735, 278, 203, 27, 203, 1070, 6436, 32, 1262, 32, 6844, 955, 1188, 13316, 81, 5082, 81, 1055, 203, 1070, 6436, 32, 1356, 32, 4148, 431, 449, 81, 1439, 1188, 3934, 103, 30, 25397, 203, 1070, 6436, 32, 20973, 1188, 19297, 459, 81, 16432, 30, 617, 378, 550, 81, 20973, 203, 81, 64, 280, 323, 25, 64, 25, 203, 81, 72, 280, 323, 25, 72, 25, 203, 81, 51, 280, 323, 25, 51, 25, 203, 81, 69, 280, 323, 25, 69, 25, 203, 81, 62, 280, 323, 25, 62, 25, 203, 43831, 81, 410, 280, 629, 85, 203, 823, 29214, 32489, 924, 26, 984, 711, 284, 3097, 203, 589, 617, 46106, 81, 731, 81, 10615, 2262, 284, 25179, 13110, 280, 622, 47700, 13110, 346, 284, 4845, 891, 280, 25179, 13110, 77, 34, 79, 284, 623, 1137, 1293, 26, 5790, 1057, 1851, 370, 2288, 1057, 3617, 370, 1750, 24910, 1057, 3617, 370, 1531, 1057, 3617, 7831, 291, 5535, 81, 1851, 81, 530, 3965, 280, 622, 47700, 13110, 8532, 35, 79, 284, 442, 428, 1954, 891, 30, 5535, 81, 1851, 81, 530, 3965, 30, 1665, 79, 203, 81, 20973, 81, 731, 81, 407, 2067, 280, 617, 46106, 81, 731, 81, 10615, 346, 203, 4025, 617, 46106, 81, 731, 81, 10615, 203, 589, 617, 13225, 81, 20973, 731, 81, 37579, 26, 530, 30, 4655, 711, 284, 3636, 29214, 32489, 924, 440, 19534, 1900, 5045, 657, 203, 589, 617, 13225, 81, 20973, 731, 81, 3780, 966, 589, 26, 530, 30, 4655, 711, 284, 3636, 29214, 32489, 924, 440, 4161, 438, 646, 11557, 12234, 659, 657, 203, 589, 617, 13225, 81, 20973, 731, 81, 39076, 2810, 81, 3780, 32620, 27976, 26, 530, 30, 4655, 711, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 6, 6, 2, 2, 5, 4, 4, 6, 5, 6, 5, 2, 2, 3, 7, 7, 9, 8, 10, 10, 7, 8, 10, 10, 7, 7, 8, 10, 10, 7, 8, 10, 10, 3, 3, 7, 7, 7, 7, 7, 6, 6, 9, 9, 9, 8, 7, 2, 2, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 5, 5, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 4, 4, 4, 4, 4, 6, 6, 0, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 15, 15, 1, 1, 1, 1, 1, 2, 15, 15, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 2, 0, 1, 0, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 1, 2, 1, 7, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 4, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 17, 17, 1, 1, 1, 1, 1, 0, 18, 18, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 18, 18, 0, 0, 0, 1, 1, 1, 1, 2, 0, 19, 19, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 19, 19, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 20, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 20 ]
[ 1070, 48885, 38, 32, 37571, 1188, 1910, 3728, 203, 1070, 7890, 81, 37001, 11180, 1570, 22324, 2796, 731, 1439, 1188, 27178, 81, 67, 5360, 4152, 30608, 4152, 924, 3728, 1761, 203, 823, 1910, 5360, 4152, 30608, 4152, 924, 3728, 26, 67, 3728, 30, 27178, 81, 67, 5360, 4152, 30608, 4152, 924, 3728, 1761, 711, 334, 665, 1156, 1664, 3207, 784, 30, 2935, 30, 20484, 711, 284, 1910, 3728, 3667, 1664, 3207, 784, 30, 2935, 27, 284, 630, 32, 5522, 10816, 26, 784, 27, 284, 415, 646, 20484, 44, 397, 20484, 280, 630, 32, 359, 440, 1347, 1048, 1474, 6584, 657, 284, 630, 32, 878, 9610, 32, 6616, 26, 21833, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 5, 6, 5, 5, 5, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 1070, 638, 1188, 1135, 203, 1070, 638, 1188, 4527, 203, 505, 18986, 280, 2933, 203, 589, 617, 1851, 81, 325, 81, 4658, 26, 2544, 30, 5601, 711, 284, 3420, 280, 18623, 26, 2544, 30, 5601, 30, 9254, 44, 1665, 27, 284, 3420, 346, 203, 823, 3772, 25514, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3312, 47, 22805, 291, 630, 1114, 4882, 280, 1605, 291, 630, 32, 669, 4470, 26, 4882, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 3778, 23, 101, 3312, 6132, 101, 5844, 904, 308, 1040, 32, 466, 823, 26, 784, 3667, 823, 36762, 1149, 26, 784, 490, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 646, 6937, 26, 2455, 30, 630, 3667, 823, 505, 711, 324, 442, 15670, 291, 442, 1149, 26, 784, 27, 610, 1149, 26, 2455, 27, 284, 665, 1156, 941, 3207, 784, 30, 1604, 711, 291, 442, 646, 630, 610, 1604, 284, 1156, 2888, 505, 280, 1665, 284, 665, 1156, 1731, 3207, 784, 711, 291, 442, 3850, 26, 784, 1114, 4882, 27, 284, 665, 2385, 7233, 101, 26, 784, 711, 291, 6792, 280, 225, 34, 291, 436, 894, 328, 630, 44, 324, 6792, 1454, 894, 32, 998, 7233, 101, 346, 291, 442, 6792, 284, 665, 1015, 1006, 26, 784, 30, 894, 711, 291, 415, 646, 19326, 26, 858, 30, 11477, 1851, 505, 7831, 324, 3636, 12678, 34864, 438, 646, 20695, 2296, 1643, 26, 13707, 26, 858, 2610, 291, 415, 6937, 26, 858, 30, 827, 27, 461, 438, 39288, 26, 858, 30, 2270, 308, 1732, 32, 7233, 30, 2108, 10907, 8531, 324, 3636, 12678, 440, 7233, 101, 461, 2108, 21462, 4137, 2298, 526, 30972, 313, 1014, 313, 5553, 13256, 3026, 372, 1015, 1006, 346, 657, 291, 630, 1114, 4882, 32, 1689, 26, 858, 27, 284, 665, 1015, 4470, 26, 784, 30, 3312, 711, 291, 415, 6937, 26, 4882, 30, 1695, 800, 711, 324, 3636, 12678, 440, 4882, 2298, 526, 600, 27182, 432, 3312, 30, 646, 312, 802, 657, 291, 436, 894, 328, 3312, 44, 324, 630, 32, 669, 1006, 26, 858, 27, 284, 665, 1420, 26, 784, 30, 1056, 711, 291, 436, 894, 328, 630, 44, 324, 415, 1056, 32, 3163, 6495, 44, 400, 1626, 324, 894, 26, 1267, 27, 291, 442, 1056, 284, 665, 1156, 1851, 3207, 784, 30, 319, 1132, 30, 1115, 38103, 711, 291, 442, 630, 32, 1945, 2740, 1132, 30, 1115, 38103, 27, 284, 665, 4588, 26, 784, 711, 291, 436, 894, 328, 630, 44, 324, 894, 32, 2811, 346, 203, 823, 2108, 10907, 26, 1761, 25514, 711, 284, 665, 1420, 26, 784, 30, 1056, 30, 4588, 47, 2700, 711, 291, 2663, 2656, 280, 3177, 291, 415, 18623, 26, 1267, 30, 7610, 858, 2529, 42678, 370, 3177, 27, 438, 3177, 44, 324, 1056, 1114, 858, 2529, 42678, 280, 2663, 2656, 280, 2933, 291, 436, 894, 328, 630, 44, 324, 415, 1056, 32, 3163, 6495, 44, 400, 1626, 324, 415, 617, 297, 1206, 9089, 26, 858, 711, 400, 630, 1114, 519, 282, 3211, 11698, 1339, 26, 858, 30, 1056, 27, 400, 630, 1114 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 6, 6, 6, 7, 7, 6, 2, 2, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 6, 6, 10, 9, 10, 10, 9, 11, 10, 11, 11, 7, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 9, 10, 10, 8, 5, 5, 7, 4, 4, 5, 8, 9, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 4, 4, 5, 5, 5, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 10, 10, 10, 5, 5, 7, 9, 13, 13, 13, 13, 12, 11, 13, 13, 14, 13, 4, 4, 5, 8, 9, 8, 8, 8, 6, 6, 8, 8, 9, 8, 8, 8, 11, 10, 11, 9, 9, 10, 9, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 7, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 10, 9, 10, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 7, 8, 9, 9, 7, 7, 7, 6, 6, 9, 10, 9, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 9, 10, 9, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 6, 6, 4, 4, 5, 8, 9, 8, 8, 10, 10, 10, 10, 8, 8, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 9, 9, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 9, 9, 7, 7, 7, 6, 6, 7, 9, 9, 9, 9, 10, 9, 7, 7, 11, 12, 12, 12, 12, 12, 11, 12, 11, 11, 11, 8, 8, 11 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 1, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 3, 2, 2, 1, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 1, 0, 1, 2, 1, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 4, 4, 7, 1, 2, 1, 2, 2, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 8, 1, 2, 1, 2, 2, 2, 8, 8, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 4, 4, 9, 2, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 5, 5, 1, 1, 1, 4, 4, 1, 4, 4, 10, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 10, 10, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 11, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 6, 6, 1, 2, 1, 1, 2, 6, 6, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 5, 5, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0 ]
[ 1070, 36387, 32, 735, 36, 32, 735, 36, 1473, 1188, 13486, 36, 959, 203, 823, 11924, 8354, 16525, 299, 26, 6142, 36, 959, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3387, 47, 2521, 30, 804, 47, 2521, 30, 1980, 81, 681, 47, 2521, 30, 353, 24144, 81, 5634, 47, 2521, 30, 7459, 47, 2521, 30, 5253, 81, 4415, 47, 2521, 30, 353, 6886, 81, 4415, 47, 2521, 30, 3048, 47, 2521, 711, 291, 13486, 36, 959, 3667, 1664, 3207, 784, 30, 3387, 27, 291, 630, 32, 314, 280, 804, 291, 630, 32, 2386, 81, 681, 280, 1980, 81, 681, 291, 630, 32, 23724, 81, 5634, 280, 24144, 81, 5634, 291, 630, 32, 6932, 280, 7459, 291, 630, 32, 8638, 81, 4415, 280, 5253, 81, 4415, 291, 630, 32, 8795, 81, 4415, 280, 6886, 81, 4415, 291, 630, 32, 2310, 280, 3048, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 330, 20364, 1810, 16525, 299, 6069, 101, 25, 904, 630, 32, 314, 284, 665, 1477, 1308, 26, 784, 30, 636, 30, 11758, 30, 3387, 711, 291, 442, 1665, 284, 665, 943, 1308, 26, 784, 30, 636, 30, 786, 30, 3387, 711, 291, 415, 636, 610, 330, 20808, 8354, 16525, 299, 606, 950, 324, 630, 32, 314, 280, 786, 291, 4348, 636, 610, 330, 2386, 620, 950, 324, 630, 32, 2386, 81, 681, 280, 786, 291, 4348, 636, 610, 330, 23724, 6767, 950, 324, 630, 32, 23724, 81, 5634, 280, 786, 291, 4348, 636, 610, 330, 6932, 950, 324, 630, 32, 6932, 280, 786, 291, 4348, 636, 610, 330, 8638, 5606, 950, 324, 630, 32, 8638, 81, 4415, 280, 786, 291, 4348, 636, 610, 330, 8795, 5606, 950, 324, 630, 32, 8795, 81, 4415, 280, 786, 291, 4348, 636, 610, 330, 2445, 3234, 950, 324, 630, 32, 2310, 280, 786, 291, 813, 44, 324, 39506, 26, 784, 30, 636, 30, 786, 27, 284, 665, 5510, 26, 784, 711, 291, 1459, 330, 779, 6132, 101, 25, 904, 630, 32, 314, 291, 1459, 3228, 102, 1810, 2768, 6132, 101, 25, 904, 630, 32, 2386, 81, 681, 291, 1459, 3228, 102, 6767, 6132, 101, 25, 904, 630, 32, 23724, 81, 5634, 291, 1459, 3228, 102, 6196, 6132, 101, 25, 904, 630, 32, 6932, 291, 1459, 3228, 102, 8222, 20754, 6132, 101, 25, 904, 630, 32, 8638, 81, 4415, 291, 1459, 3228, 102, 6772, 20754, 6132, 101, 25, 904, 630, 32, 8795, 81, 4415, 291, 1459, 3228, 102, 3234, 6132, 101, 25, 904, 630, 32, 2310, 284, 665, 21276, 26, 784, 30, 1980, 81, 998, 47, 35, 711, 291, 442, 630, 32, 3841, 32, 15735, 81, 20808, 81, 2386, 81, 16593, 299, 26, 784, 32, 314, 30, 1980, 81, 998, 27, 203, 823, 11924, 1810, 26, 20364, 8354, 16525, 299, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3387, 47, 2521, 30, 804, 47, 2521, 30, 1980, 81, 681, 47, 2521, 30, 353, 24144, 81, 5634, 47, 2521, 30, 7459, 47, 2521, 30, 5253, 81, 4415, 47, 2521, 30, 353, 6886, 81, 4415, 47, 2521, 30, 3048, 47, 2521, 30, 353, 1980, 81, 998, 47, 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, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 9, 10, 8, 8, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 6, 6, 10, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 11, 9, 9, 5, 5, 6, 6, 6, 10, 11, 10, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 6, 6, 7, 8, 4, 4, 5, 9, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 5, 9, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 5, 9, 8, 8, 8, 8, 6, 6, 7, 8, 4, 4, 5, 9, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 5, 9, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 5, 9, 8, 8, 8, 8, 6, 6, 7, 8, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 8, 7, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6 ]
[ 0, 0, 1, 2, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 2, 0, 0, 15, 2, 2, 2, 17, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 4, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 5, 1, 1, 1, 1, 2, 5, 5, 0, 2, 2, 2, 0, 0, 0, 0, 6, 1, 1, 1, 2, 6, 6, 0, 2, 0, 0, 0, 0, 7, 1, 1, 1, 1, 2, 7, 7, 0, 2, 2, 2, 0, 0, 0, 0, 8, 1, 1, 1, 1, 2, 8, 8, 0, 2, 2, 2, 0, 0, 0, 0, 9, 1, 1, 1, 1, 2, 9, 9, 0, 2, 0, 0, 0, 0, 10, 10, 10, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 4, 4, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 4, 4, 3, 0, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 4, 4, 5, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 4, 4, 6, 0, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 5, 2, 1, 2, 2, 0, 0, 3, 2, 2, 5, 5, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 2, 0, 0, 15, 2, 2, 2, 17, 2, 2, 2, 2, 0, 0, 19, 2 ]
[ 465, 3995, 203, 465, 3664, 261, 203, 1070, 21010, 690, 1188, 3834, 35936, 924, 30, 14720, 959, 30, 9399, 203, 589, 29702, 270, 711, 3701, 442, 376, 203, 823, 41698, 1104, 44, 284, 3097, 203, 823, 488, 9324, 1564, 44, 284, 665, 1156, 1664, 3207, 784, 30, 21010, 690, 30, 28525, 31645, 30, 1115, 5321, 711, 291, 630, 32, 28595, 690, 280, 21010, 690, 291, 630, 32, 18942, 31645, 280, 630, 1114, 2208, 81, 18942, 31645, 26, 18942, 31645, 27, 291, 630, 1114, 1978, 280, 225, 34, 291, 630, 1114, 809, 280, 3664, 32, 14939, 81, 809, 346, 291, 630, 32, 1536, 81, 1141, 280, 1665, 291, 630, 1114, 2416, 81, 5321, 26, 5321, 27, 284, 2075, 280, 2107, 1536, 81, 1141, 370, 330, 11879, 81, 4383, 785, 284, 665, 617, 2416, 81, 5321, 26, 784, 30, 10306, 711, 291, 630, 32, 11879, 81, 4383, 280, 10306, 32, 371, 463, 11879, 81, 4383, 683, 291, 630, 32, 1536, 81, 1141, 261, 280, 10306, 32, 371, 463, 1536, 81, 1141, 683, 284, 665, 617, 2208, 81, 18942, 31645, 26, 784, 30, 28525, 31645, 711, 291, 8436, 81, 18942, 31645, 280, 1605, 291, 436, 345, 328, 28525, 31645, 44, 324, 415, 827, 26, 95, 27, 610, 827, 463, 7831, 345, 280, 5053, 16732, 950, 345, 111, 324, 8436, 81, 18942, 31645, 32, 1689, 26, 95, 27, 291, 442, 8436, 81, 18942, 31645, 284, 665, 617, 944, 81, 771, 26, 784, 30, 2914, 711, 291, 630, 1114, 809, 32, 22214, 346, 291, 2914, 32, 18942, 31645, 280, 1149, 26, 784, 32, 18942, 31645, 27, 291, 2914, 1114, 1978, 280, 630, 1114, 1978, 291, 630, 1114, 809, 32, 3779, 346, 284, 665, 617, 371, 81, 16732, 26, 784, 30, 2914, 711, 291, 415, 646, 2914, 32, 18942, 31645, 44, 324, 3636, 3834, 35936, 924, 26, 36, 39, 40, 30, 30121, 2023, 1829, 28525, 31645, 372, 1596, 32, 2847, 291, 442, 2914, 32, 18942, 31645, 77, 771, 1114, 1978, 79, 284, 665, 617, 11879, 26, 784, 30, 2914, 30, 6596, 81, 2067, 711, 291, 6596, 280, 2914, 32, 4124, 32, 371, 463, 11879, 81, 4383, 683, 556, 630, 32, 11879, 81, 4383, 291, 415, 6596, 44, 324, 415, 827, 26, 2500, 27, 610, 827, 26, 1404, 8063, 400, 6596, 30, 2181, 30, 10306, 280, 6596, 324, 813, 44, 400, 2181, 30, 10306, 280, 23296, 2149, 324, 2125, 280, 6596, 26, 2500, 81, 2067, 30, 319, 1132, 30, 1115, 5321, 27, 556, 2149, 291, 813, 44, 324, 2125, 280, 2149, 291, 312, 280, 5436, 26, 784, 32, 1536, 81, 1141, 556, 12797, 291, 312, 32, 1877, 26, 771, 32, 4124, 32, 371, 463, 1536, 81, 1141, 370, 2149, 490, 291, 312, 32, 1877, 26, 1141, 27, 291, 2125, 280, 312, 291, 630, 32, 12119, 81, 16732, 26, 771, 30, 2125, 27, 291, 415, 2125, 461, 2125, 32, 371, 463, 5066, 370, 225, 34, 711, 3636, 284, 665, 11885, 81, 16732, 26, 784, 30, 2914, 30, 2125, 19704, 711, 291, 6658, 16732, 280, 2914, 32, 18942, 31645, 77, 771, 1114, 1978, 79, 291, 630, 1114, 809, 32, 22214, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 0, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 1, 1, 3, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 9, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 8, 7, 2, 2, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 6, 8, 9, 8, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 6, 5, 5, 5, 7, 10, 11, 10, 8, 8, 10, 12, 7, 10, 10, 14, 14, 12, 11, 6, 6, 10, 10, 10, 9, 10, 9, 10, 9, 4, 4, 5, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 10, 9, 10, 10, 8, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 8, 8, 5, 5, 5, 7, 9, 9, 9, 10, 10, 10, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 4, 4, 5, 7, 8, 8, 6, 8, 7, 8, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 6, 6, 10, 11, 9, 10, 9, 11, 11, 11, 11, 7, 7, 8, 9, 9, 9, 4, 4, 5, 5, 5, 5, 7, 10, 11, 10, 8, 8, 10, 10, 10, 7, 7, 11, 11, 11, 11, 10, 10, 7, 7, 8, 8, 8, 12, 12, 11, 11, 12, 6, 6, 8, 8, 11, 12, 12, 12, 11, 11, 13, 11, 11, 13, 11, 9, 9, 5, 5, 6, 6, 6, 9, 9, 4, 4, 6, 6, 8, 11, 10, 11, 11, 11, 9, 9, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 9, 11, 11, 11, 11, 9, 9, 4, 4, 7, 8, 7, 8, 7, 4, 4, 6, 6, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 7, 4, 4, 5, 6, 6, 8, 9, 8, 10, 10, 8, 9, 8, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 9, 7, 9, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 1, 4, 4, 4, 0, 5, 5, 1, 1, 5, 5, 5, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 3, 3, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 2, 1, 3, 3, 5, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 1, 0, 2, 2, 1, 3, 3, 6, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 6, 6, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 4, 0, 0, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 0, 2, 1, 1, 2, 1, 3, 1, 7, 3, 3, 7, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 7, 7, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1 ]
[ 1070, 4444, 30999, 1188, 4101, 3206, 203, 1070, 4444, 30999, 32, 12023, 32, 9966, 81, 7899, 1188, 4774, 470, 81, 1092, 81, 1640, 619, 4774, 470, 7899, 203, 823, 33918, 62, 314, 1078, 26, 2044, 3206, 711, 284, 665, 821, 81, 1423, 81, 16777, 26, 784, 711, 291, 313, 9402, 1412, 3261, 1932, 3272, 3107, 291, 630, 32, 3801, 280, 313, 3206, 688, 38403, 322, 8777, 31, 1293, 4774, 2021, 436, 3346, 3454, 3107, 291, 630, 32, 18590, 280, 2933, 284, 665, 821, 81, 1366, 26, 784, 711, 291, 630, 32, 2067, 32, 3515, 470, 32, 669, 26, 3515, 470, 7899, 32, 62, 314, 13624, 5276, 885, 27, 284, 665, 438, 81, 1327, 26, 784, 711, 291, 442, 646, 630, 32, 2067, 32, 1199, 32, 29223, 81, 1676, 284, 665, 821, 81, 4048, 26, 784, 711, 291, 630, 32, 2067, 32, 3515, 470, 32, 2560, 26, 3515, 470, 7899, 32, 62, 314, 13624, 5276, 885, 27, 203, 823, 3927, 62, 314, 1078, 26, 2044, 3206, 711, 284, 665, 821, 81, 1423, 81, 16777, 26, 784, 711, 291, 313, 9402, 1412, 3261, 1932, 3272, 3107, 291, 630, 32, 3801, 280, 313, 3206, 688, 38403, 322, 13197, 31, 1293, 4774, 2021, 436, 3346, 3454, 3107, 291, 630, 32, 18590, 280, 2933, 284, 665, 821, 81, 1366, 26, 784, 711, 291, 630, 32, 2067, 32, 3515, 470, 32, 669, 26, 3515, 470, 7899, 32, 62, 314, 2961, 5276, 885, 27, 284, 665, 438, 81, 1327, 26, 784, 711, 291, 442, 630, 32, 2067, 32, 1199, 32, 29223, 81, 1676, 284, 665, 821, 81, 4048, 26, 784, 711, 291, 630, 32, 2067, 32, 3515, 470, 32, 2560, 26, 3515, 470, 7899, 32, 62, 314, 2961, 5276, 885, 27, 203, 823, 551, 1800, 981, 1078, 26, 2044, 3206, 711, 284, 665, 821, 81, 1423, 81, 16777, 26, 784, 711, 291, 630, 32, 678, 280, 313, 29820, 81, 1551, 15130, 20, 291, 630, 32, 3801, 280, 313, 2410, 271, 15843, 3145, 21890, 322, 4362, 436, 312, 9570, 2218, 3107, 291, 630, 32, 7568, 280, 225, 36, 34, 16189, 630, 32, 1366, 81, 7843, 280, 2933, 16189, 630, 32, 33607, 1966, 280, 225, 35, 16189, 630, 32, 18590, 280, 3177, 10065, 665, 821, 81, 1366, 26, 784, 711, 291, 630, 32, 2067, 32, 3515, 470, 32, 669, 26, 3515, 470, 7899, 32, 3716, 552, 5276, 885, 27, 284, 665, 821, 81, 4048, 26, 784, 711, 291, 630, 32, 2067, 32, 2076, 440, 4282, 30764, 296, 4340, 1708, 631, 619, 1370, 31986, 694, 12899, 631, 3217, 7144, 291, 630, 32, 2067, 32, 2645, 32, 2076, 81, 8078, 4912, 101, 6236, 372, 526, 21618, 299, 3623, 31986, 694, 3107, 10000, 904, 630, 32, 2067, 32, 426, 30, 10000, 11246, 47, 784, 32, 2067, 27, 291, 630, 32, 2067, 32, 3515, 470, 32, 2560, 346, 261, 203, 823, 11910, 62, 314, 1151, 26, 2044, 3206, 711, 284, 665, 821, 81, 1423, 81, 16777, 26, 784, 711, 291, 630, 32, 678, 280, 313, 29223, 81, 6749, 509, 20, 291, 630, 32, 3801, 280, 313, 46808, 41663, 544, 312, 3346, 12033, 20, 291, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 4, 4, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 9, 9, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 9, 10, 8, 9, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 9, 9, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 9, 9, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 9, 9, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 9, 9, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 9, 10, 8, 9, 7, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 11, 9, 10, 7, 7, 7, 8, 10, 9, 10, 7, 4, 4, 9, 10, 8, 9, 9, 7, 8, 7, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 3, 3, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 3, 3, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4 ]
[ 465, 2322, 203, 465, 22977, 203, 465, 1133, 203, 1070, 5034, 32, 1040, 32, 7534, 1761, 7233, 1188, 13060, 1761, 7233, 203, 1786, 81, 15965, 280, 3813, 614, 1178, 79, 203, 13547, 280, 1605, 203, 1786, 81, 4018, 280, 1665, 203, 858, 81, 15208, 280, 1665, 203, 10181, 81, 983, 280, 1665, 203, 823, 6550, 1006, 26, 7534, 1761, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 6514, 81, 1786, 280, 13602, 77, 34, 79, 4456, 12780, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 2590, 81, 1786, 32, 41659, 476, 30, 7610, 106, 43852, 459, 417, 683, 291, 415, 2322, 32, 983, 32, 4658, 26, 10181, 81, 983, 711, 324, 22977, 32, 100, 41718, 26, 10181, 81, 983, 27, 284, 665, 894, 81, 6390, 35, 26, 784, 711, 291, 630, 32, 13547, 280, 13602, 291, 415, 13602, 77, 34, 997, 681, 646, 328, 2107, 7534, 1195, 462, 468, 83, 12132, 324, 442, 291, 813, 44, 324, 328, 40019, 459, 417, 327, 280, 894, 81, 15208, 32, 2946, 81, 4018, 32, 18013, 906, 459, 417, 327, 81, 983, 324, 816, 43852, 459, 417, 280, 894, 81, 15208, 32, 2946, 81, 4018, 32, 106, 43852, 459, 417, 81, 983, 324, 6514, 81, 1786, 280, 13602, 77, 34, 79, 4288, 1933, 81, 1786, 280, 13602, 77, 35, 79, 324, 12780, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 2590, 81, 1786, 32, 41659, 476, 30, 7610, 106, 43852, 459, 417, 683, 324, 1688, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 2590, 81, 1786, 32, 41659, 476, 30, 330, 18013, 906, 459, 417, 327, 32, 541, 683, 324, 2299, 81, 983, 280, 2322, 32, 983, 32, 7781, 26, 18013, 906, 459, 417, 327, 27, 324, 894, 81, 3515, 280, 5587, 23201, 445, 32, 557, 769, 89, 416, 401, 47, 2957, 33, 462, 468, 83, 33, 462, 468, 83, 32, 4669, 313, 324, 2152, 687, 30, 1688, 280, 630, 32, 4526, 81, 6386, 2518, 26, 858, 81, 3515, 30, 894, 81, 15208, 30, 6514, 81, 1786, 27, 324, 5365, 81, 15705, 1057, 858, 25, 324, 436, 595, 328, 2155, 26, 40, 711, 400, 5365, 280, 5365, 81, 15705, 29, 466, 26, 91, 27, 400, 2467, 280, 313, 6037, 358, 5180, 1400, 904, 101, 20, 18147, 3968, 27, 400, 2152, 687, 30, 1056, 81, 470, 280, 630, 32, 4526, 81, 1217, 26, 1217, 30, 6514, 81, 1786, 27, 400, 630, 32, 4983, 26, 2094, 687, 30, 34, 30, 3124, 47, 1267, 81, 470, 27, 400, 2152, 687, 30, 1688, 280, 630, 32, 4526, 81, 6386, 2518, 26, 858, 81, 3515, 30, 894, 81, 15208, 30, 6514, 81, 1786, 30, 5365, 27, 324, 4774, 280, 2884, 23, 101, 769, 10514, 31, 761, 6132, 101, 769, 496, 47, 2388, 769, 625, 6132, 86, 20, 4511, 313, 769, 2035, 47, 35, 36, 41, 32, 34, 32, 34, 32, 35, 769, 1347, 31, 5561, 20, 41155, 313, 769, 930, 10181, 6132, 101, 904, 101, 20, 18147, 328, 40019, 459, 417, 327, 10000, 1717, 6514, 81, 1786, 32, 38429, 81, 761, 10000, 1717, 6514, 81, 1786, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 3, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 8, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 9, 10, 10, 8, 8, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 5, 5, 9, 10, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 8, 9, 8, 8, 6, 6, 6, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 6, 6, 6, 10, 10, 10, 10, 9, 9, 12, 12, 11, 12, 12, 12, 10, 11, 11, 11, 11, 11, 11, 11, 7, 7, 10, 10, 10, 9, 9, 12, 12, 11, 12, 12, 12, 10, 11, 11, 11, 11, 11, 11, 7, 7, 10, 10, 9, 9, 10, 11, 10, 7, 7, 10, 10, 9, 9, 10, 11, 10, 7, 7, 10, 10, 9, 9, 12, 13, 11, 12, 11, 13, 13, 13, 12, 13, 13, 11, 11, 13, 13, 13, 13, 13, 7, 7, 10, 10, 9, 9, 12, 13, 11, 12, 11, 13, 13, 13, 12, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 7, 7, 10, 10, 9, 9, 12, 13, 11, 12, 11, 12, 12, 12, 12, 12, 11, 7, 7, 10, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 11, 10, 10, 9, 9, 11, 12, 12, 12, 12, 11, 12, 12, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 7, 7, 10, 10, 9, 11, 11, 7, 7, 8, 8, 8, 10, 11, 10, 8, 8, 11, 11, 13, 13, 12, 14, 14, 15, 14, 9, 9, 11, 11, 14, 14, 14, 14, 14, 14, 14, 12, 14, 13, 9, 9, 13, 12, 12, 13, 13, 11, 11, 13, 14, 14, 14, 13, 14, 13, 13, 14, 14, 13, 9, 9, 12, 13, 12, 13, 13, 12, 13, 12, 12, 13, 14, 14, 14, 12, 9, 9, 13, 12, 12, 11, 11, 13, 14, 14, 14, 14, 13, 14, 14, 14, 13, 13, 14, 14, 13, 13, 14, 14, 13, 13, 13, 7, 7, 9, 9, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 11, 12, 13, 13, 13, 13, 12, 12, 12, 14, 14, 13, 14, 14, 14, 12, 12, 12, 14, 14, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 1, 2, 1, 1, 1, 2, 9, 9, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 10, 10, 10, 1, 1, 1, 10, 10, 0, 0, 0, 0, 2, 0, 1, 1, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 3, 2, 2, 2, 2, 2, 2, 0, 0, 5 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 316, 203, 465, 5237, 203, 1070, 28520, 1188, 12388, 619, 390, 203, 1070, 28520, 32, 12937, 32, 1363, 1188, 7051, 203, 1070, 638, 2035, 1188, 11212, 203, 1070, 28520, 32, 5558, 32, 12937, 32, 20224, 1188, 28508, 17259, 2825, 203, 1070, 28520, 1188, 3878, 203, 823, 28508, 44, 284, 5881, 284, 2648, 17758, 461, 8351, 645, 17041, 284, 19810, 322, 17758, 461, 8351, 688, 28520, 25442, 2625, 645, 458, 443, 32, 284, 19810, 5081, 4886, 308, 3780, 31, 13318, 27, 645, 322, 7051, 461, 11212, 6015, 284, 4717, 645, 2442, 32, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 17041, 81, 668, 47, 53, 32, 5807, 81, 8472, 81, 4613, 711, 291, 5881, 291, 499, 4124, 626, 17041, 81, 668, 44, 399, 1149, 432, 17041, 10849, 32, 225, 1348, 1631, 526, 803, 324, 4467, 1510, 1098, 526, 8436, 619, 17918, 31, 6228, 2276, 30, 15012, 10105, 324, 1510, 442, 17041, 706, 619, 2361, 30, 14904, 432, 4335, 432, 322, 3684, 30, 324, 556, 3408, 4243, 32, 225, 11094, 461, 14904, 884, 4456, 499, 4124, 626, 27781, 81, 2895, 44, 12572, 372, 793, 415, 1346, 432, 322, 17041, 10849, 324, 884, 328, 600, 28520, 27781, 291, 5881, 291, 630, 1114, 32355, 81, 452, 225, 280, 1665, 291, 630, 1114, 2029, 81, 5607, 280, 1665, 291, 4118, 280, 28508, 17259, 2825, 26, 12937, 81, 668, 27, 291, 4118, 32, 2208, 346, 291, 630, 1114, 39891, 280, 4118, 32, 39891, 291, 630, 1114, 15934, 261, 280, 4118, 32, 15934, 291, 630, 1114, 6332, 225, 280, 4118, 32, 6332, 284, 665, 622, 81, 15934, 26, 784, 711, 291, 5881, 291, 2744, 322, 1149, 432, 17758, 30, 2685, 17495, 4122, 544, 1346, 739, 5257, 291, 461, 21432, 299, 322, 3276, 4122, 544, 322, 739, 3408, 26808, 32, 291, 5881, 291, 415, 630, 1114, 2029, 81, 5607, 44, 324, 17758, 280, 630, 1114, 2029, 81, 15934, 346, 291, 813, 44, 324, 17758, 280, 630, 1114, 15934, 31445, 291, 415, 630, 1114, 32355, 81, 452, 438, 646, 1665, 44, 324, 736, 81, 470, 280, 739, 26, 15934, 547, 11232, 26, 784, 1114, 32355, 81, 452, 27, 324, 442, 428, 90, 436, 420, 328, 17758, 415, 420, 328, 736, 81, 470, 79, 291, 813, 44, 324, 442, 17758, 31445, 284, 665, 622, 81, 6332, 26, 784, 711, 291, 5881, 291, 19810, 322, 7051, 4684, 8967, 372, 322, 28508, 291, 5881, 291, 442, 630, 1114, 6332, 31445, 284, 665, 622, 81, 2035, 26, 784, 30, 15871, 711, 291, 5881, 291, 19810, 322, 11212, 1300, 436, 312, 15871, 291, 5881, 291, 436, 3408, 328, 630, 1114, 15934, 44, 324, 415, 3408, 32, 426, 610, 15871, 44, 400, 442, 3408, 291, 442, 1665, 284, 665, 622, 81, 1363, 26, 784, 30, 2350, 426, 711, 291, 5881, 291, 19810, 322, 7051, 1300, 436, 312, 2350, 426, 291, 5881, 291, 436, 2350, 328, 630, 1114, 6332, 44, 324, 415, 2350, 32, 426, 610, 2350, 426, 44, 400, 442, 2350 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 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, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 7, 6, 7, 7, 7, 7, 7, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 6, 6, 8, 8, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 7, 8, 6, 6, 6, 7, 8, 4, 4, 7, 8, 6, 6, 6, 7, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 9, 9, 11, 12, 10, 4, 4, 5, 7, 8, 8, 8, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 12, 13, 12, 11, 10, 12, 11, 12, 12, 12, 10, 6, 6, 7, 9, 8, 9, 9, 9, 8, 9, 10, 10, 11, 11, 8, 5, 5, 6, 6, 6, 8, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 7, 9, 10, 8, 8, 7, 7, 7, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 7, 9, 10, 8, 8, 9, 7, 7, 7, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 3, 3, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 6, 6, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 0, 8, 8, 8, 8, 0, 9, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 2, 0, 0, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 4, 4, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 1, 1, 1, 2, 2, 2, 1, 3, 1, 1, 2, 2, 1, 2, 2, 4, 4, 4, 0, 1, 3, 3, 3, 1, 1, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 3, 3, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 4, 4, 2, 3, 3, 5, 1, 1, 2, 1, 2, 2, 3, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0 ]
[ 1070, 15798, 32, 3613, 1188, 7841, 203, 465, 13092, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 1070, 8527, 32, 1199, 1188, 14291, 543, 924, 30, 6141, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 13197, 106, 32, 1262, 32, 11025, 7491, 32, 2851, 81, 5983, 32, 3378, 1188, 308, 284, 13957, 2324, 30, 284, 13957, 2324, 6705, 30, 284, 4131, 81, 2851, 1163, 81, 12655, 81, 90, 20538, 81, 4133, 203, 27, 203, 1070, 13197, 106, 32, 1262, 32, 11025, 7491, 32, 2851, 81, 5983, 32, 4882, 32, 42053, 1188, 13957, 2324, 2214, 203, 823, 13957, 2324, 4470, 26, 7233, 711, 284, 5880, 280, 330, 2851, 81, 5983, 81, 1526, 81, 2853, 81, 16097, 81, 2763, 32, 508, 25, 284, 636, 280, 330, 2851, 81, 5983, 81, 1526, 81, 2853, 81, 16097, 81, 2763, 25, 284, 894, 81, 1163, 35, 280, 301, 291, 313, 44775, 563, 313, 1006, 11437, 392, 291, 313, 5134, 81, 426, 563, 313, 1006, 38085, 9919, 392, 291, 313, 24819, 81, 2474, 563, 313, 858, 32, 5007, 392, 291, 313, 7632, 81, 1088, 81, 2029, 563, 313, 1006, 74, 392, 291, 313, 2079, 81, 25075, 81, 761, 563, 313, 858, 33, 2079, 33, 2851, 32, 2079, 392, 291, 313, 9352, 81, 15935, 25997, 81, 24819, 563, 3177, 30, 291, 313, 9352, 81, 1781, 43460, 81, 4186, 1710, 81, 9036, 563, 3177, 30, 291, 313, 7632, 81, 7468, 81, 2245, 81, 10676, 81, 7676, 563, 3177, 30, 291, 313, 19156, 81, 983, 563, 2430, 1574, 33, 858, 32, 5677, 392, 284, 320, 284, 894, 81, 1163, 36, 280, 301, 291, 313, 44775, 563, 313, 1006, 25281, 11437, 392, 291, 313, 5134, 81, 426, 563, 313, 1006, 25281, 38085, 9919, 392, 291, 313, 24819, 81, 2474, 563, 313, 858, 31, 23259, 32, 5007, 392, 291, 313, 7632, 81, 1088, 81, 2029, 563, 313, 1006, 20976, 74, 392, 291, 313, 2079, 81, 25075, 81, 761, 563, 313, 858, 31, 23259, 33, 2079, 33, 2851, 32, 2079, 392, 291, 313, 9352, 81, 15935, 25997, 81, 24819, 563, 2933, 30, 291, 313, 9352, 81, 1781, 43460, 81, 4186, 1710, 81, 9036, 563, 2933, 30, 291, 313, 7632, 81, 7468, 81, 2245, 81, 10676, 81, 7676, 563, 3177, 30, 291, 313, 19156, 81, 983, 563, 2430, 1574, 33, 858, 31, 23259, 32, 5677, 392, 284, 320, 284, 477, 17614, 284, 665, 14553, 1339, 26, 6933, 711, 291, 2599, 922, 23741, 1339, 346, 291, 9011, 32, 2851, 30, 617, 280, 13957, 32, 5740, 32, 371, 81, 271, 81, 1297, 26, 4116, 47, 6933, 32, 4116, 30, 636, 47, 6933, 32, 4116, 27, 291, 9011, 32, 2851, 36, 30, 617, 280, 13957, 32, 5740, 32, 371, 81, 271, 81, 1297, 26, 324, 5880, 47, 6933, 32, 858, 81, 1163, 36, 710, 24819, 81, 2474, 2188, 324, 636, 47, 6933, 32, 858, 81, 1163, 36, 710, 24819, 81, 2474, 2188, 291, 829, 284, 665, 894, 81, 2851, 81, 5983, 81, 1526, 81, 2853, 81, 16097, 26, 784, 711, 291, 4755, 81, 5983, 280, 13957, 2324, 2214, 32, 1297, 26, 324, 4755 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 10, 9, 9, 8, 5, 5, 9, 10, 8, 8, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 10, 12, 11, 12, 9, 9, 10, 12, 11, 12, 9, 5, 5, 9, 10, 10, 8, 8, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 9, 9, 10, 13, 12, 13, 13, 13, 13, 11, 13, 13, 13, 13, 9, 9, 10, 13, 12, 13, 13, 13, 13, 11, 13, 13, 13, 13, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 8, 8, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 1, 8, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 1, 8, 1, 10, 6, 6, 0, 0, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 11, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 2, 2, 2, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 11, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 2, 2, 2, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5237, 203, 3731, 32, 983, 32, 3215, 26, 35, 2360, 1458, 657, 203, 465, 420, 36, 97, 203, 465, 1133, 203, 1070, 3312, 1188, 3619, 2243, 81, 2304, 203, 589, 420, 10982, 81, 37246, 81, 3922, 2262, 284, 48222, 81, 96, 17638, 402, 81, 297, 81, 34814, 280, 3619, 2243, 81, 2304, 32, 10213, 81, 96, 17638, 402, 81, 297, 81, 34814, 346, 284, 415, 48222, 81, 96, 17638, 402, 81, 297, 81, 34814, 44, 291, 420, 10982, 81, 426, 81, 1251, 280, 3619, 2243, 81, 2304, 32, 10213, 81, 96, 17638, 402, 346, 291, 415, 3619, 2243, 81, 2304, 32, 85, 1020, 672, 48931, 635, 445, 26, 21137, 81, 426, 81, 1251, 30, 2430, 15183, 33, 37246, 81, 3922, 33, 37246, 33, 37246, 81, 2998, 81, 29716, 32, 37246, 10280, 324, 1459, 440, 10195, 420, 661, 31, 2493, 1503, 438, 5133, 3610, 32, 225, 546, 899, 4118, 894, 301, 34, 111, 438, 313, 1750, 313, 34106, 35145, 1643, 440, 978, 2243, 81, 16758, 81, 48115, 81, 5561, 81, 770, 81, 37246, 32, 978, 2131, 324, 3097, 291, 813, 44, 324, 26907, 81, 1003, 280, 225, 36, 34, 34, 3389, 324, 26907, 81, 10125, 280, 225, 35, 87, 31, 39, 2264, 324, 1929, 7452, 36, 10616, 280, 225, 35, 34, 34, 48188, 1169, 65, 899, 3839, 280, 36089, 15183, 33, 37246, 81, 3922, 33, 37246, 33, 1006, 65, 899, 974, 32, 858, 1547, 35, 43, 34, 34, 32, 37246, 392, 6029, 2430, 15183, 33, 37246, 81, 3922, 33, 37246, 33, 1006, 65, 899, 974, 32, 858, 1547, 36, 34, 37, 42, 32, 37246, 392, 6029, 2430, 15183, 33, 37246, 81, 3922, 33, 37246, 33, 37246, 81, 2998, 81, 29716, 32, 37246, 1446, 324, 1169, 21704, 3839, 280, 36089, 15183, 33, 37246, 81, 3922, 33, 4700, 33, 1006, 65, 899, 974, 32, 858, 1547, 35, 43, 34, 34, 32, 4700, 392, 6029, 2430, 15183, 33, 37246, 81, 3922, 33, 4700, 33, 1006, 65, 899, 974, 32, 858, 1547, 36, 34, 37, 42, 32, 4700, 392, 6029, 2430, 15183, 33, 37246, 81, 3922, 33, 4700, 33, 37246, 81, 2998, 81, 29716, 32, 4700, 1446, 324, 436, 296, 1284, 328, 2155, 26, 1657, 26, 464, 65, 899, 3839, 8531, 400, 1984, 81, 37246, 280, 313, 21137, 45268, 34, 3451, 35, 16054, 1643, 26, 21137, 81, 426, 81, 1251, 30, 1169, 65, 899, 3839, 77, 88, 1284, 1130, 400, 1984, 81, 4700, 280, 313, 21137, 45268, 34, 3451, 35, 16054, 1643, 26, 21137, 81, 426, 81, 1251, 30, 1169, 21704, 3839, 77, 88, 1284, 1130, 400, 420, 36, 97, 65, 899, 280, 420, 36, 97, 32, 465, 81, 761, 26, 965, 81, 37246, 27, 400, 420, 36, 97, 21704, 280, 420, 36, 97, 32, 465, 81, 761, 26, 965, 81, 4700, 27, 400, 1201, 3619, 2243, 81, 2304, 32, 6055, 81, 9433, 26, 90, 36, 97, 65, 899, 30, 420, 36, 97, 21704, 30, 1929, 7452, 36, 10616, 30, 26907, 81, 1003, 30, 26907, 81, 10125, 471, 766, 528, 313, 58, 36, 65, 3118, 8436, 645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 4, 5, 3, 4, 3, 4, 3, 5, 5, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 7, 7, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 9, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 5, 5, 6, 6, 6, 10, 10, 9, 9, 10, 10, 10, 7, 7, 7, 10, 10, 9, 9, 10, 10, 10, 10, 7, 7, 7, 10, 10, 10, 9, 9, 10, 10, 10, 7, 7, 10, 10, 10, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 10, 10, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 8, 9, 8, 8, 10, 12, 12, 13, 13, 13, 13, 12, 8, 8, 12, 12, 11, 11, 15, 15, 15, 15, 15, 15, 14, 13, 14, 14, 14, 14, 14, 13, 13, 15, 15, 15, 14, 15, 15, 14, 9, 9, 12, 12, 11, 11, 15, 15, 15, 15, 15, 15, 14, 13, 14, 14, 14, 14, 14, 13, 13, 15, 15, 14, 15, 15, 14, 9, 9, 12, 12, 12, 12, 11, 11, 14, 14, 13, 14, 14, 14, 13, 14, 14, 14, 13, 9, 9, 12, 12, 12, 11, 11, 14, 14, 13, 14, 14, 14, 13, 14, 14, 14, 13, 9, 9, 10, 13, 13, 13, 12, 13, 13, 13, 12, 13, 13, 13, 13, 13, 12, 12, 13, 13, 13, 12, 12, 13, 13, 13, 12, 12, 13, 13, 12, 12, 13, 13, 12, 10, 10, 10, 12, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 6, 6, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 1, 0, 0, 0, 0, 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, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 1, 5, 5, 1, 0, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 2, 2, 3, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 3, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 10635, 81, 38630, 203, 1648, 81, 11043, 44, 313, 36, 32, 38, 20, 203, 4021, 81, 2310, 44, 4784, 8522, 5296, 489, 2328, 3488, 544, 677, 10309, 4643, 59, 7578, 3711, 34789, 32, 203, 2310, 44, 284, 429, 4784, 8522, 5296, 489, 2328, 3488, 544, 677, 10309, 4643, 59, 7578, 3711, 34789, 32, 203, 2116, 44, 284, 429, 2523, 4980, 24295, 2523, 24524, 11931, 67, 5793, 311, 15923, 27, 203, 2184, 44, 284, 2145, 44, 291, 3048, 44, 324, 429, 8159, 2965, 432, 489, 2328, 2145, 32, 284, 10362, 44, 291, 3048, 44, 324, 429, 8159, 2965, 432, 489, 2328, 10362, 32, 284, 1202, 81, 314, 44, 291, 3048, 44, 324, 429, 14433, 1202, 7248, 372, 793, 623, 2702, 489, 2328, 2145, 556, 10362, 32, 284, 438, 81, 29340, 44, 291, 3048, 44, 324, 429, 39619, 2702, 489, 2328, 2145, 556, 10362, 322, 16312, 489, 2328, 2145, 556, 10362, 436, 322, 3298, 32, 291, 16682, 44, 2107, 4898, 370, 330, 5820, 785, 284, 354, 7547, 81, 426, 44, 291, 3048, 44, 324, 429, 39619, 322, 3298, 25420, 623, 322, 2702, 1090, 489, 2328, 2145, 556, 10362, 2288, 312, 2818, 354, 7547, 32, 291, 1244, 44, 7610, 923, 16436, 284, 1914, 81, 410, 44, 291, 3048, 44, 324, 429, 7089, 1914, 2568, 645, 1510, 489, 2328, 5218, 884, 4618, 32, 1090, 15622, 526, 12086, 16793, 2568, 636, 30, 595, 32, 87, 32, 390, 26, 38, 34, 3055, 35, 33, 34, 33, 36, 36, 471, 390, 26, 25438, 325, 35, 34, 547, 1090, 13199, 3738, 30, 3751, 619, 390, 26, 35, 34, 3055, 471, 390, 26, 38, 34, 3055, 471, 390, 26, 35, 34, 34, 3055, 471, 390, 26, 28660, 31, 854, 2139, 471, 390, 26, 7497, 2495, 471, 1090, 390, 26, 1023, 349, 471, 390, 26, 3293, 471, 390, 26, 24376, 471, 390, 26, 48213, 325, 547, 284, 1603, 44, 291, 3048, 44, 324, 429, 31580, 322, 1603, 432, 322, 2869, 32, 291, 1244, 44, 5024, 291, 16682, 44, 2107, 2689, 1195, 3596, 304, 785, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 636, 44, 489, 2328, 894, 334, 17758, 44, 8668, 3483, 334, 3387, 44, 2196, 334, 20133, 81, 37261, 44, 1289, 334, 14447, 44, 284, 9195, 44, 397, 3408, 44, 17610, 17041, 81, 12256, 7397, 397, 2601, 44, 17610, 28520, 81, 9404, 81, 625, 7397, 397, 952, 44, 17610, 952, 7397, 397, 3882, 44, 17610, 3882, 7397, 397, 11337, 44, 9195, 334, 8253, 44, 334, 429, 636, 44, 313, 885, 489, 2328, 4226, 623, 3377, 20, 284, 10635, 81, 38630, 44, 397, 2145, 44, 225, 35, 43, 36, 32, 42, 32, 36, 32, 40, 397, 354, 7547, 81, 426, 44, 4060, 397, 1914, 81, 410, 44, 45361, 325, 38, 34, 34, 35, 397, 438, 81, 29340, 44, 5352, 397, 1202, 81, 314, 44, 225, 37, 36, 397, 6887, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 745, 28998, 203, 465, 2322, 203, 465, 5237, 203, 5177, 36, 280, 5237, 32, 1648, 81, 1338, 333, 308, 37, 30, 225, 34, 27, 203, 5177, 37, 36, 280, 5237, 32, 1648, 81, 1338, 333, 308, 37, 30, 225, 37, 27, 262, 203, 5177, 37, 37, 280, 5237, 32, 1648, 81, 1338, 333, 308, 37, 30, 225, 38, 27, 262, 203, 14842, 81, 6862, 280, 4921, 4064, 465, 25300, 505, 14842, 505, 25, 415, 19430, 36, 813, 330, 26354, 2847, 203, 1270, 44, 284, 1188, 10020, 203, 7343, 29986, 44, 647, 284, 1188, 617, 633, 619, 10020, 284, 415, 330, 27680, 81, 668, 25, 646, 328, 10020, 32, 1339, 1350, 1114, 4151, 44, 291, 10020, 32, 1339, 1350, 32, 27680, 81, 668, 280, 1404, 291, 10020, 32, 2447, 1350, 32, 27680, 81, 668, 280, 2804, 26, 5962, 309, 44, 309, 32, 28497, 27, 203, 1070, 3619, 1306, 4062, 1188, 5218, 203, 325, 19430, 36, 44, 284, 665, 622, 24581, 26, 1251, 81, 823, 711, 291, 442, 596, 26, 9941, 26, 1251, 81, 823, 3667, 426, 25566, 7607, 1157, 203, 1824, 44, 284, 665, 622, 24581, 26, 1251, 81, 823, 711, 291, 442, 1541, 81, 823, 3667, 426, 9818, 7607, 346, 203, 325, 19430, 37, 36, 44, 284, 665, 622, 16887, 11118, 26, 96, 711, 291, 415, 6937, 26, 96, 30, 308, 633, 32, 2797, 30, 10020, 32, 8296, 28325, 8531, 324, 442, 428, 96, 32, 1548, 79, 291, 415, 6937, 26, 96, 30, 10020, 32, 8296, 32925, 711, 324, 442, 428, 96, 32, 1548, 474, 310, 32, 686, 45581, 79, 474, 3813, 32511, 79, 436, 420, 3657, 328, 310, 32, 14458, 79, 203, 1824, 44, 284, 665, 622, 16887, 11118, 26, 96, 711, 291, 415, 6937, 26, 96, 30, 10020, 32, 2797, 711, 324, 442, 428, 96, 32, 1548, 79, 291, 415, 6937, 26, 96, 30, 10020, 32, 8296, 711, 324, 442, 428, 96, 32, 1548, 474, 310, 32, 686, 45581, 79, 474, 3813, 32511, 79, 436, 420, 3657, 328, 310, 32, 14458, 79, 203, 823, 617, 4140, 2871, 26, 2665, 711, 284, 665, 617, 371, 81, 4151, 26, 784, 30, 1541, 81, 823, 711, 291, 3829, 280, 1541, 81, 823, 1114, 4151, 291, 415, 330, 1731, 25, 328, 3829, 44, 324, 1202, 81, 2232, 280, 330, 1731, 2473, 1809, 291, 4348, 330, 28295, 25, 328, 3829, 44, 324, 1202, 81, 2232, 280, 330, 28295, 2473, 1809, 291, 813, 44, 324, 1202, 81, 2232, 280, 330, 853, 2473, 1809, 291, 442, 8825, 26, 11939, 26, 4151, 30, 1202, 47, 678, 81, 2232, 30, 10156, 47, 1815, 490, 284, 665, 1156, 9785, 3207, 784, 30, 1541, 81, 823, 711, 291, 630, 77, 1251, 81, 823, 79, 280, 3829, 280, 630, 1114, 371, 81, 4151, 26, 1251, 81, 823, 27, 291, 442, 3829, 203, 589, 3850, 81, 2661, 81, 5459, 26, 1251, 30, 27999, 47, 2521, 30, 617, 4151, 81, 1174, 11645, 4140, 2871, 22805, 284, 436, 636, 328, 617, 4151, 81, 1174, 77, 1251, 3667, 823, 505, 2786, 291, 415, 636, 610, 27999, 44, 324, 4036, 291, 1600, 280, 18623, 26, 1251 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 2, 2, 4, 5, 5, 5, 3, 3, 5, 4, 4, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 3, 3, 5, 4, 4, 5, 4, 0, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 3, 3, 5, 4, 4, 5, 4, 0, 0, 3, 3, 3, 2, 2, 4, 6, 6, 9, 9, 9, 9, 7, 7, 8, 7, 7, 9, 9, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 2, 4, 7, 5, 5, 3, 3, 4, 7, 7, 7, 7, 5, 5, 5, 7, 8, 8, 6, 7, 4, 4, 4, 9, 10, 10, 8, 9, 9, 9, 7, 7, 5, 5, 9, 10, 10, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 10, 11, 12, 9, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 5, 5, 4, 3, 3, 5, 7, 11, 11, 13, 13, 13, 12, 13, 13, 10, 9, 1, 2, 2, 2, 2, 4, 5, 5, 6, 6, 6, 5, 4, 4, 6, 10, 10, 9, 10, 10, 9, 8, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 7, 10, 9, 10, 8, 8, 9, 10, 10, 8, 5, 5, 7, 10, 9, 10, 8, 4, 4, 5, 7, 8, 7, 7, 8, 9, 9, 7, 5, 5, 7, 12, 11, 12, 10, 10, 11, 12, 12, 9, 8, 8, 11, 10, 9, 10, 11, 10, 10, 11, 12, 9, 1, 2, 2, 2, 2, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 11, 10, 11, 9, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 13, 12, 13, 11, 11, 12, 13, 13, 10, 9, 9, 12, 11, 10, 11, 12, 11, 11, 12, 13, 10, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 8, 7, 8, 4, 4, 5, 8, 8, 6, 6, 5, 5, 5, 9, 9, 8, 8, 11, 11, 10, 5, 5, 6, 9, 9, 7, 7, 6, 6, 6, 10, 10, 9, 9, 12, 12, 11, 5, 5, 6, 6, 6, 10, 10, 9, 9, 12, 12, 11, 4, 4, 5, 7, 9, 9, 10, 9, 9, 10, 11, 11, 11, 9, 9, 10, 11, 9, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 7, 6, 6, 7, 7, 9, 10, 10, 10, 9, 10, 10, 10, 9, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 4, 4, 3, 5, 5, 5, 1, 1, 3, 3, 3, 5, 5, 5, 4, 6, 5, 6, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 4, 4, 6, 6, 8, 9 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 7, 7, 7, 7, 0, 7, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 3, 3, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 8, 8, 0, 0, 8, 8, 0, 9, 9, 1, 9, 9, 9, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 9, 4, 4, 4, 4, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 10, 10, 1, 1, 10, 10, 10, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 3, 3, 3, 2, 2, 3, 0, 0, 0, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 3, 2, 2, 10, 4, 4, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 3, 2, 2, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 4, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 1, 5, 5, 5, 0, 0, 0, 0, 1, 2, 2, 4, 4, 2, 1, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 5, 0, 0, 1, 12, 12, 0, 0, 0, 0, 0, 0, 3, 0, 2, 2, 2, 3, 0, 0, 0, 1, 1, 0, 0, 0, 5, 5, 0, 0, 1, 1 ]
[ 465, 5237, 30, 1133, 30, 316, 203, 539, 81, 1113, 261, 280, 3177, 203, 539, 81, 98, 1676, 280, 3177, 203, 1270, 44, 334, 1188, 16539, 334, 793, 81, 1113, 280, 2933, 203, 7343, 29986, 44, 334, 1188, 298, 1676, 36, 334, 793, 81, 98, 1676, 280, 2933, 203, 325, 2069, 26, 3731, 32, 6118, 27, 333, 225, 36, 44, 334, 1459, 330, 8144, 44, 27798, 2289, 19853, 333, 2501, 6457, 334, 5237, 32, 4775, 26, 35, 27, 203, 15446, 668, 280, 5237, 32, 6118, 77, 35, 10056, 203, 325, 793, 81, 1113, 44, 334, 2899, 280, 16539, 32, 45606, 26, 15446, 668, 27, 203, 12106, 793, 81, 98, 1676, 44, 334, 2899, 280, 298, 1676, 36, 32, 45606, 37, 440, 4939, 2524, 26, 15446, 668, 490, 203, 289, 874, 378, 280, 225, 34, 203, 10727, 280, 225, 34, 203, 3359, 280, 3056, 6789, 9708, 86, 33, 1517, 25, 904, 2899, 32, 6320, 203, 95, 268, 280, 316, 32, 6993, 26, 100, 25, 14213, 34300, 14656, 766, 102, 6155, 12390, 66, 46, 1835, 5213, 86, 29, 19188, 203, 5525, 2933, 44, 334, 436, 1628, 328, 2156, 26, 3359, 30, 330, 100, 1814, 33232, 2262, 284, 345, 280, 345, 268, 32, 1903, 26, 928, 27, 284, 415, 345, 44, 397, 2349, 280, 629, 26, 95, 32, 1363, 463, 1835, 2847, 397, 597, 874, 378, 1454, 2349, 397, 12904, 1454, 225, 35, 397, 1626, 334, 1133, 32, 7840, 26, 34, 32, 35, 27, 334, 11361, 280, 2899, 32, 11986, 346, 334, 415, 308, 539, 81, 1113, 461, 11361, 863, 1665, 27, 556, 308, 539, 81, 98, 1676, 461, 11361, 863, 429, 35, 711, 284, 1626, 203, 1216, 5461, 86, 20, 904, 308, 289, 874, 378, 33, 10727, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 2, 2, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 4, 6, 6, 3, 3, 6, 6, 6, 5, 5, 0, 1, 1, 4, 6, 5, 6, 4, 2, 2, 3, 1, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 6, 5, 6, 5, 0, 3, 3, 2, 2, 4, 5, 3, 5, 4, 0, 1, 1, 2, 2, 1, 1, 1, 4, 4, 6, 7, 6, 7, 7, 6, 1, 2, 2, 3, 3, 3, 2, 2, 2, 5, 5, 8, 8, 7, 8, 8, 7, 11, 10, 9, 10, 10, 9, 0, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 0, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 1, 1, 1, 3, 3, 3, 7, 8, 7, 7, 9, 9, 6, 5, 3, 3, 6, 6, 9, 8, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 8, 8, 10, 13, 12, 13, 12, 14, 14, 6, 6, 9, 9, 8, 8, 6, 6, 8, 8, 9, 6, 6, 2, 2, 5, 6, 5, 6, 6, 6, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 7, 7, 7, 6, 6, 7, 7, 5, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 9, 5, 3, 3, 0, 1, 1, 4, 4, 2, 2, 5, 5, 5, 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 ]
[ 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, 0, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 6, 6, 1, 1, 6, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 6, 4, 4, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 11, 11, 11, 11, 11, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 2, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 3, 3, 3, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 3, 3, 0, 12, 12, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 16560, 81, 3925, 81, 23724, 470, 81, 37261, 203, 1648, 81, 11043, 44, 313, 36, 32, 38, 20, 203, 4021, 81, 2310, 44, 1390, 24144, 739, 44052, 32, 203, 2310, 44, 284, 429, 1390, 44052, 436, 312, 2818, 24144, 739, 556, 1169, 24144, 6900, 32, 203, 2184, 44, 284, 636, 44, 291, 3048, 44, 324, 429, 16106, 3276, 372, 312, 2818, 24144, 739, 284, 2869, 81, 1363, 44, 291, 3048, 44, 324, 429, 886, 2869, 2350, 372, 3233, 436, 322, 10848, 24144, 739, 284, 5911, 44, 291, 3048, 44, 324, 429, 1682, 432, 5911, 372, 526, 14995, 203, 9971, 81, 10270, 81, 9854, 44, 284, 429, 16560, 203, 2116, 44, 284, 429, 313, 17505, 8605, 1258, 290, 292, 4750, 11931, 30237, 8605, 37017, 292, 4750, 4731, 203, 9592, 203, 1460, 39189, 280, 5881, 284, 429, 636, 44, 1390, 44052, 436, 1591, 24144, 739, 397, 16560, 81, 3925, 81, 23724, 470, 81, 37261, 44, 291, 636, 44, 15593, 291, 2869, 81, 1363, 44, 1672, 25921, 284, 429, 636, 44, 1390, 44052, 436, 1169, 24144, 6900, 328, 312, 2818, 2869, 2350, 397, 16560, 81, 3925, 81, 23724, 470, 81, 37261, 44, 291, 2869, 81, 1363, 44, 1672, 25921, 203, 9592, 203, 10934, 280, 5881, 203, 3762, 81, 23724, 470, 44, 284, 3048, 44, 1682, 432, 24144, 6900, 5436, 101, 32, 284, 4717, 44, 5182, 284, 827, 44, 1149, 284, 2280, 44, 7316, 291, 313, 2645, 563, 313, 14623, 352, 36, 392, 291, 313, 426, 563, 313, 1772, 23724, 470, 392, 291, 313, 4642, 563, 301, 324, 313, 5134, 12349, 5041, 1534, 563, 225, 37, 30, 324, 313, 5134, 2333, 5041, 1534, 563, 225, 36, 30, 324, 313, 5002, 40882, 563, 1605, 291, 801, 291, 313, 22441, 563, 313, 28912, 392, 291, 313, 681, 563, 313, 4499, 32, 12375, 33, 23724, 10527, 20, 284, 16752, 203, 9592, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 3762, 81, 3925, 81, 2282, 1188, 3379, 11224, 2459, 1761, 203, 1270, 44, 284, 645, 6733, 4738, 3762, 32, 3762, 81, 11452, 1188, 7578, 924, 203, 7343, 3268, 44, 284, 3097, 203, 38332, 81, 8460, 81, 7420, 280, 330, 21604, 885, 25, 203, 823, 3379, 68, 1400, 104, 10808, 885, 7331, 101, 26, 5249, 11224, 2459, 1761, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1647, 81, 1132, 280, 5436, 26, 324, 636, 47, 2665, 26, 681, 1057, 466, 1425, 324, 2869, 81, 1363, 47, 2665, 26, 681, 1057, 466, 1425, 324, 5911, 47, 2665, 26, 681, 1057, 668, 683, 291, 829, 291, 630, 32, 4295, 280, 5436, 26, 324, 5372, 47, 2700, 30, 324, 28520, 81, 37261, 47, 2665, 26, 400, 16560, 81, 23724, 2021, 19066, 324, 829, 291, 829, 291, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 5, 5, 4, 5, 5, 5, 3, 3, 5, 1, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 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, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 10, 8, 8, 8, 10, 10, 9, 11, 11, 11, 11, 13, 13, 13, 12, 11, 11, 8, 8, 4, 4, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 6, 6, 1, 2, 2, 2, 1, 4, 4, 4, 4, 4, 6, 6, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 7, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 9, 9, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 3, 0, 1, 0, 1, 1, 2, 1, 1, 5, 0, 1, 0, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 3, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0 ]
[ 1070, 5205, 360, 6874, 1173, 1188, 15385, 203, 589, 894, 81, 12897, 81, 16737, 2262, 284, 35657, 280, 15385, 32, 36400, 26, 37, 30, 225, 37, 27, 284, 1201, 35657, 32, 371, 81, 349, 268, 1966, 1162, 35, 30, 225, 35, 490, 610, 739, 2009, 291, 308, 34, 30, 225, 34, 471, 308, 35, 30, 225, 34, 471, 308, 36, 30, 225, 34, 471, 308, 34, 30, 225, 35, 471, 308, 36, 30, 225, 35, 471, 308, 34, 30, 225, 36, 471, 308, 35, 30, 225, 36, 471, 308, 36, 30, 225, 36, 27, 284, 8834, 284, 1201, 35657, 32, 371, 81, 349, 268, 1966, 1162, 34, 30, 225, 34, 490, 610, 739, 43270, 35, 30, 225, 34, 471, 308, 34, 30, 225, 35, 471, 308, 35, 30, 225, 35, 14829, 284, 1201, 35657, 32, 371, 81, 349, 268, 1966, 1162, 36, 30, 225, 36, 490, 610, 739, 43270, 35, 30, 225, 35, 471, 308, 36, 30, 225, 35, 471, 308, 35, 30, 225, 36, 14829, 284, 35657, 280, 15385, 32, 36400, 26, 35, 30, 225, 37, 27, 284, 1201, 308, 291, 35657, 32, 371, 81, 349, 268, 1966, 1162, 34, 30, 225, 36, 490, 610, 35657, 32, 371, 81, 349, 268, 1966, 1162, 34, 30, 225, 34, 490, 610, 739, 43270, 34, 30, 225, 35, 45917, 284, 35657, 280, 15385, 32, 36400, 26, 35, 30, 225, 37, 27, 284, 1201, 35657, 32, 371, 81, 349, 268, 1966, 1162, 34, 30, 225, 35, 490, 610, 739, 43270, 34, 30, 225, 34, 471, 308, 34, 30, 225, 36, 14829, 203, 589, 894, 81, 84, 1708, 520, 81, 16737, 2262, 284, 323, 1708, 520, 280, 15385, 32, 52, 1708, 520, 26, 37, 30, 225, 38, 27, 284, 1201, 323, 1708, 520, 32, 371, 81, 349, 268, 1966, 1162, 35, 30, 225, 36, 490, 610, 739, 43270, 36, 30, 225, 37, 471, 308, 36, 30, 225, 35, 471, 308, 34, 30, 225, 37, 471, 308, 34, 30, 225, 35, 14829, 284, 1201, 323, 1708, 520, 32, 371, 81, 349, 268, 1966, 1162, 34, 30, 225, 34, 490, 610, 739, 43270, 35, 30, 225, 35, 471, 308, 36, 30, 225, 36, 14829, 284, 1201, 323, 1708, 520, 32, 371, 81, 349, 268, 1966, 1162, 36, 30, 225, 37, 490, 610, 739, 43270, 35, 30, 225, 36, 471, 308, 34, 30, 225, 35, 14829, 203, 589, 894, 81, 290, 1253, 81, 16737, 2262, 284, 1118, 1253, 280, 15385, 32, 68, 1154, 26, 37, 30, 225, 38, 27, 284, 1201, 1118, 1253, 32, 371, 81, 349, 268, 1966, 1162, 35, 30, 225, 35, 490, 610, 739, 2009, 291, 308, 34, 30, 225, 35, 471, 308, 35, 30, 225, 34, 471, 308, 35, 30, 225, 36, 471, 308, 35, 30, 225, 37, 471, 308, 36, 30, 225, 35, 14829, 284, 1201, 1118, 1253, 32, 371, 81, 349, 268, 1966, 1162, 34, 30, 225, 34, 490, 610, 739, 2009, 291, 308, 34, 30, 225, 35, 471, 308, 34, 30, 225, 36, 471, 308, 34, 30, 225, 37, 471, 308, 35, 30, 225, 34, 471, 308, 36, 30, 225, 34, 14829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 3, 6, 7, 7, 7, 7, 7, 6, 8, 7, 7, 8, 7, 4, 4, 6, 7, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 7, 2, 2, 3, 6, 7, 7, 7, 7, 7, 6, 8, 7, 7, 8, 7, 4, 4, 6, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 2, 2, 3, 6, 7, 7, 7, 7, 7, 6, 8, 7, 7, 8, 7, 4, 4, 6, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 3, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 8, 8, 9, 8, 5, 5, 7, 8, 8, 8, 8, 8, 7, 9, 8, 8, 9, 8, 5, 5, 7, 10, 9, 9, 10, 9, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 6, 2, 2, 3, 6, 7, 7, 7, 7, 7, 6, 8, 7, 7, 8, 7, 4, 4, 6, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 7, 6, 6, 7, 6, 2, 2, 3, 7, 7, 6, 7, 7, 7, 7, 7, 6, 8, 7, 7, 8, 7, 4, 4, 6, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 2, 2, 3, 7, 7, 6, 7, 7, 7, 7, 7, 6, 8, 7, 7, 8, 7, 4, 4, 6, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 2, 2, 3, 7, 7, 6, 7, 7, 7, 7, 7, 6, 8, 7, 7, 8, 7, 4, 4, 6, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 7, 7, 6, 7, 6, 6, 7, 6, 2, 2, 3, 7, 6, 7, 7, 7, 7, 7, 6, 8, 7, 7, 8, 7, 4, 4, 6, 7, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 2, 2, 3, 7, 6, 7, 7, 7, 7, 7, 6, 8, 7, 7, 8, 7, 4, 4, 6, 7, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 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, 13, 13, 3, 13, 1, 1, 15, 15, 3, 15, 1, 1, 4, 4, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 4, 4, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 5, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 7, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 1, 1, 7, 7, 3, 7, 4, 4, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 4, 4, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 0, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 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, 4, 4, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 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 ]
[ 9592, 203, 858, 81, 93, 5793, 427, 1966, 32, 978, 438, 312, 3261, 372, 4201, 894, 322, 831, 5793, 427, 1966, 32, 978, 3261, 372, 7279, 561, 438, 203, 14413, 299, 322, 2799, 17989, 993, 30, 3751, 619, 40386, 1741, 4122, 544, 3992, 426, 556, 667, 636, 32, 203, 1011, 5251, 1406, 31, 12724, 2276, 328, 21184, 4441, 31, 1110, 8920, 33, 1617, 33, 858, 33, 41517, 33, 5379, 33, 688, 203, 25543, 1629, 3964, 1688, 688, 1597, 21588, 645, 1629, 6274, 86, 3516, 21853, 13179, 32, 203, 1318, 803, 636, 432, 322, 2869, 2276, 10666, 312, 3516, 21853, 2899, 11549, 804, 32, 203, 1318, 2179, 432, 322, 6086, 2276, 438, 619, 11588, 44, 203, 3782, 3270, 30, 9205, 2484, 30, 4187, 36327, 30, 4540, 19789, 30, 33882, 3717, 308, 10095, 36370, 471, 5104, 432, 14745, 32567, 30, 3717, 1292, 1476, 308, 10095, 36370, 27, 203, 1792, 319, 578, 28, 3362, 30, 844, 883, 1420, 322, 894, 3261, 619, 44, 203, 1569, 858, 81, 93, 5793, 427, 1966, 32, 978, 203, 1484, 9489, 31327, 30, 844, 1631, 1849, 372, 1420, 458, 619, 44, 203, 1004, 429, 91, 37, 42, 40, 517, 3381, 33, 1771, 33, 2958, 894, 81, 93, 5793, 427, 1966, 32, 978, 203, 9592, 203, 465, 2322, 203, 465, 5237, 203, 465, 15798, 203, 1617, 983, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 33115, 346, 474, 3056, 15664, 1831, 33, 41517, 33, 8121, 683, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 1561, 983, 27, 203, 465, 831, 5793, 427, 1966, 203, 465, 29590, 203, 823, 2108, 26574, 4441, 5773, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1131, 81, 1515, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 33115, 346, 474, 42311, 5379, 683, 284, 665, 894, 3080, 1562, 3782, 26, 784, 711, 291, 630, 32, 23895, 26, 22239, 30, 831, 5793, 427, 1966, 32, 1831, 30, 2107, 93, 5793, 427, 1966, 370, 11363, 452, 31, 761, 370, 330, 11469, 3490, 284, 665, 894, 1083, 3782, 558, 26, 784, 711, 291, 2799, 2301, 280, 313, 923, 13436, 1086, 32, 7319, 4441, 32, 3968, 32, 26574, 4441, 3694, 1599, 32, 3694, 2711, 313, 474, 766, 324, 313, 1088, 32, 7319, 4441, 32, 3968, 32, 3106, 32, 58, 1761, 3694, 1599, 32, 48706, 2711, 26, 1088, 32, 7319, 4441, 32, 3968, 32, 1040, 32, 3644, 953, 37549, 474, 766, 324, 313, 225, 36, 41, 42, 39, 35, 38, 41, 34, 35, 30, 225, 42, 41, 39, 30, 225, 41, 34, 43, 40, 35, 42, 32, 34, 39, 20, 291, 5239, 280, 29590, 32, 11049, 24723, 974, 26, 2560, 47, 2700, 27, 291, 4870, 280, 5239, 32, 426, 291, 831, 5793, 427, 1966, 32, 1831, 4901, 1569, 93, 5793, 427, 1966, 32, 978, 370, 715, 11363, 5136, 31, 1515, 370, 715, 630, 32, 1131, 81, 1515, 30, 715, 11363, 1170, 31, 3245, 426, 370, 715, 330, 10855, 33564, 265, 370, 715, 11363, 452, 31, 761, 370, 715, 4870, 1130, 291, 623, 2156, 26, 3607, 27, 619, 296, 44, 324, 436, 1628, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 4, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 11, 9, 9, 11, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 9, 9, 8, 9, 7, 7, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 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, 10, 10, 10, 7, 7, 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, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 6, 6, 7, 8, 4, 4, 8, 8, 8, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 8, 8, 8, 4, 4, 5, 10, 11, 10, 8, 8, 5, 5, 5, 7, 7 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 0, 6, 6, 0, 0, 0, 0, 7, 7, 0, 8, 8, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 5, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 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, 1, 1, 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, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0 ]
[ 465, 5741, 203, 465, 3995, 203, 465, 2192, 203, 465, 6234, 203, 465, 17778, 203, 465, 1133, 203, 465, 281, 652, 2338, 203, 1070, 6234, 5178, 1188, 25854, 203, 1070, 6234, 5178, 32, 1040, 1188, 438, 81, 10089, 203, 37082, 81, 3364, 280, 225, 35, 40, 319, 225, 35, 34, 36, 38, 203, 3459, 81, 16938, 280, 225, 35, 34, 36, 38, 319, 225, 35, 35, 36, 203, 17450, 81, 14247, 280, 225, 40, 34, 203, 823, 9476, 26, 9938, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3408, 30, 2601, 30, 9161, 81, 1803, 47, 2521, 30, 6929, 47, 2521, 30, 324, 438, 81, 6482, 47, 2700, 30, 6717, 81, 5078, 33792, 7664, 81, 33074, 47, 2521, 30, 1115, 6482, 81, 1132, 711, 291, 630, 1114, 101, 280, 9161, 81, 1803, 32, 5264, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 291, 630, 1114, 101, 32, 3517, 1162, 2035, 30, 2601, 490, 291, 415, 7664, 81, 33074, 44, 324, 630, 1114, 101, 32, 2714, 464, 26, 5866, 81, 33074, 27, 324, 1789, 280, 281, 652, 2338, 32, 652, 2338, 346, 324, 2218, 1789, 32, 371, 853, 346, 6448, 38, 10056, 863, 3228, 100, 78, 96, 78, 100, 78, 96, 950, 400, 1789, 32, 1821, 26, 784, 1114, 101, 32, 12084, 26, 35, 490, 324, 1789, 32, 2679, 346, 291, 415, 438, 81, 6482, 44, 324, 630, 1114, 101, 280, 17778, 32, 4071, 81, 4817, 26, 784, 1114, 101, 30, 1115, 6482, 81, 1132, 27, 291, 630, 32, 7615, 81, 5078, 280, 6717, 81, 5078, 291, 630, 32, 297, 81, 6482, 280, 438, 81, 6482, 291, 630, 32, 7878, 81, 1803, 280, 9161, 81, 1803, 291, 630, 32, 2035, 280, 3408, 291, 630, 32, 625, 280, 2601, 291, 630, 1114, 10089, 280, 2933, 291, 630, 1114, 20667, 280, 225, 1133, 32, 1003, 346, 429, 3995, 32, 21378, 26, 34, 30, 225, 35, 34, 27, 291, 630, 1114, 5178, 280, 6929, 291, 630, 1114, 26825, 280, 3177, 284, 665, 8001, 26, 784, 30, 1115, 2872, 81, 2184, 711, 291, 1760, 81, 2035, 280, 2530, 81, 2184, 32, 371, 463, 2035, 683, 291, 1760, 81, 625, 280, 2530, 81, 2184, 32, 371, 463, 625, 683, 291, 442, 1760, 81, 2035, 610, 630, 32, 2035, 461, 1760, 81, 625, 610, 630, 32, 625, 284, 665, 438, 81, 10089, 26, 784, 711, 291, 415, 630, 1114, 10089, 44, 324, 442, 438, 81, 10089, 26, 784, 1114, 101, 27, 291, 442, 3177, 284, 665, 2887, 81, 3893, 26, 784, 30, 3756, 711, 291, 3636, 284, 665, 622, 81, 30179, 26, 784, 711, 291, 442, 630, 1114, 20667, 284, 665, 31065, 26, 784, 711, 291, 630, 32, 2679, 346, 291, 630, 1114, 10089, 280, 3177, 291, 630, 1114, 20667, 280, 429, 35, 284, 665, 3621, 26, 784, 30, 1395, 81, 2679, 47, 2700, 711, 291, 415, 630, 1114, 5178, 438, 646, 1665, 44, 324, 415, 630, 1114, 10089, 44, 400, 415, 1395, 81, 2679, 44, 528, 630, 32, 27351, 346, 400, 630, 1114, 5178, 32, 3779, 81, 3841, 26, 784, 27, 324, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 4, 3, 3, 7, 8, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 8, 9, 7, 8, 7, 9, 8, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 10, 11, 9, 10, 10, 9, 10, 10, 10, 9, 6, 6, 8, 8, 11, 11, 10, 11, 11, 10, 6, 6, 7, 11, 12, 12, 11, 9, 12, 10, 8, 8, 11, 11, 11, 11, 11, 11, 11, 10, 7, 7, 11, 12, 11, 15, 14, 15, 13, 14, 13, 14, 13, 6, 6, 9, 10, 9, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 10, 12, 12, 12, 10, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 6, 9, 10, 9, 7, 7, 9, 10, 9, 10, 9, 9, 10, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 6, 6, 4, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10, 4, 4, 5, 8, 8, 7, 7, 8, 9, 6, 6, 8, 8, 7, 7, 8, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 7, 9, 9, 9, 11, 10, 11, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 8, 6, 6, 6, 5, 5, 5, 7, 8, 9, 7, 7, 7, 9, 10, 10, 9, 9, 9, 13, 14, 13, 8, 8, 12, 13, 11, 12, 12, 12, 11, 12, 11, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 12, 12, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 9, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 0, 0, 15, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 3, 3, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 4, 4, 5, 2, 1, 2, 5, 5, 0, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 4, 4, 6, 2, 1, 2, 2, 0, 0, 3, 2, 2, 6, 6, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0 ]
[ 465, 2322, 203, 465, 15798, 203, 465, 22045, 36, 203, 465, 2361, 203, 465, 341, 385, 6455, 203, 1070, 1695, 1188, 2108, 9515, 2059, 30, 3693, 81, 2388, 203, 823, 2108, 1397, 885, 10755, 26, 1006, 9515, 2059, 711, 284, 665, 894, 81, 426, 81, 853, 26, 784, 711, 291, 477, 105, 385, 6455, 32, 14458, 32, 4531, 291, 665, 4899, 26, 1357, 30, 1789, 711, 324, 1789, 32, 470, 81, 9534, 440, 426, 392, 313, 853, 657, 324, 442, 313, 1006, 20, 291, 5543, 280, 2884, 2788, 392, 2430, 858, 33, 426, 81, 853, 392, 4899, 27, 291, 630, 32, 1786, 32, 5785, 32, 3317, 2740, 4351, 27, 291, 5127, 280, 630, 32, 1357, 26, 4351, 77, 35, 1130, 291, 630, 32, 4983, 26, 5243, 32, 1338, 48742, 885, 31, 10755, 3439, 313, 426, 47, 853, 45, 5380, 9178, 657, 284, 665, 894, 81, 16811, 26, 784, 711, 291, 477, 105, 385, 6455, 32, 14458, 32, 4531, 291, 665, 4899, 26, 1357, 30, 1789, 711, 324, 1789, 32, 470, 81, 9534, 440, 426, 392, 313, 853, 657, 324, 1789, 32, 16811, 81, 9534, 440, 426, 657, 324, 442, 313, 1006, 20, 291, 5543, 280, 2884, 2788, 392, 2430, 858, 33, 16811, 392, 4899, 27, 291, 630, 32, 1786, 32, 5785, 32, 3317, 2740, 4351, 27, 291, 5127, 280, 630, 32, 1357, 26, 4351, 77, 35, 1130, 291, 630, 32, 6549, 440, 885, 31, 10755, 20, 646, 328, 5127, 32, 1338, 1157, 284, 665, 894, 81, 2560, 26, 784, 711, 291, 477, 105, 385, 6455, 32, 14458, 32, 4531, 291, 665, 4899, 26, 1357, 30, 1789, 711, 324, 1789, 32, 2560, 81, 9534, 440, 426, 657, 324, 442, 313, 1006, 20, 291, 5543, 280, 2884, 2788, 392, 2430, 858, 33, 2560, 392, 4899, 27, 291, 630, 32, 1786, 32, 5785, 32, 3317, 2740, 4351, 27, 291, 5127, 280, 630, 32, 1357, 26, 4351, 77, 35, 1130, 291, 8710, 280, 5436, 26, 1094, 32, 2998, 440, 33568, 436, 3486, 1623, 328, 5127, 32, 1338, 48742, 885, 31, 10755, 6494, 2998, 45321, 7788, 415, 1623, 27, 291, 630, 32, 4983, 26, 10031, 1365, 426, 3439, 7746, 291, 630, 32, 4983, 26, 10031, 1365, 1215, 3439, 44332, 203, 823, 2108, 1104, 28780, 26, 1006, 9515, 2059, 711, 284, 665, 894, 81, 470, 81, 9534, 26, 784, 711, 291, 477, 105, 385, 6455, 32, 14458, 32, 4531, 291, 665, 4899, 26, 1357, 30, 1789, 711, 324, 442, 1326, 32, 21326, 1365, 426, 6494, 853, 291, 5543, 280, 2884, 2788, 392, 2430, 858, 33, 470, 81, 9534, 392, 4899, 27, 291, 630, 32, 1786, 32, 5785, 32, 3317, 2740, 4351, 27, 291, 5127, 280, 630, 32, 1357, 26, 4351, 77, 35, 614, 4826, 7814, 10755, 563, 313, 426, 47, 853, 15119, 291, 630, 32, 4983, 26, 5243, 32, 850, 1026, 313, 853, 657, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 9, 9, 8, 9, 7, 8, 5, 5, 6, 7, 8, 7, 7, 7, 6, 6, 10, 11, 11, 11, 10, 12, 12, 10, 12, 12, 7, 7, 8, 10, 10, 4, 4, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 9, 10, 8, 9, 7, 8, 7, 9, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 9, 4, 4, 7, 8, 7, 11, 10, 11, 10, 10, 10, 10, 10, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 9, 9, 8, 9, 7, 8, 5, 5, 6, 7, 8, 7, 7, 7, 6, 6, 10, 11, 11, 11, 10, 12, 12, 10, 12, 12, 7, 7, 10, 11, 11, 11, 10, 12, 12, 7, 7, 8, 10, 10, 4, 4, 6, 6, 9, 9, 7, 9, 9, 9, 9, 7, 7, 4, 4, 9, 10, 8, 9, 7, 8, 7, 9, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 8, 8, 8, 10, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 9, 9, 8, 9, 7, 8, 5, 5, 6, 7, 8, 7, 7, 7, 6, 6, 10, 11, 11, 11, 10, 12, 12, 7, 7, 8, 10, 10, 4, 4, 6, 6, 9, 9, 7, 9, 9, 9, 9, 7, 7, 4, 4, 9, 10, 8, 9, 7, 8, 7, 9, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 9, 4, 4, 6, 6, 8, 11, 10, 11, 10, 12, 8, 9, 9, 9, 9, 14, 15, 14, 14, 14, 14, 14, 12, 11, 13, 8, 9, 8, 4, 4, 7, 8, 7, 9, 8, 10, 10, 7, 4, 4, 7, 8, 7, 9, 8, 10, 10, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 9, 9, 8, 9, 7, 8, 5, 5, 6, 7, 8, 7, 7, 7, 6, 6, 8, 11, 12, 10, 12, 12, 10, 4, 4, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 9, 10, 8, 9, 7, 8, 7, 9, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 9, 8, 9, 13, 13, 11, 13, 13, 13, 13, 4, 4, 7, 8, 7, 10, 9, 10, 9, 7, 9, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 1, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 4, 4, 2, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 4, 4, 1, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 4, 4, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 8, 8, 0, 0, 1, 1, 1, 1, 8, 8, 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 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 465, 1933, 203, 1070, 27038, 32, 2304, 32, 965, 2304, 1188, 5605, 81, 9833, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 1070, 27038, 32, 1237, 1188, 1487, 81, 1637, 203, 1070, 27038, 32, 3378, 1188, 6012, 30, 17698, 3740, 203, 1070, 27038, 32, 2304, 1188, 622, 81, 13007, 81, 8126, 203, 1070, 27038, 32, 858, 81, 2304, 32, 858, 10996, 1188, 23297, 635, 445, 2732, 203, 823, 13957, 7233, 26, 3103, 635, 445, 2732, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 5299, 26, 7294, 32, 5740, 32, 464, 922, 998, 1026, 225, 35, 27, 291, 623, 630, 32, 3550, 26, 24819, 81, 779, 47, 35, 711, 324, 1044, 280, 630, 1114, 1297, 81, 496, 440, 858, 392, 2933, 30, 2933, 27, 324, 630, 32, 2851, 36, 280, 13957, 32, 5740, 32, 1297, 26, 4116, 347, 3287, 36, 32, 508, 392, 636, 347, 3287, 36, 32, 508, 392, 15769, 47, 36, 27, 324, 630, 32, 2851, 37, 280, 13957, 32, 5740, 32, 1297, 26, 4116, 347, 3287, 37, 32, 508, 392, 636, 347, 3287, 37, 32, 508, 392, 15769, 47, 37, 27, 291, 630, 1114, 3615, 81, 1819, 280, 630, 32, 3615, 81, 496, 81, 1819, 26, 103, 27, 291, 630, 1114, 3615, 81, 1819, 3667, 1403, 16369, 284, 665, 28921, 26, 784, 711, 291, 630, 1114, 3615, 81, 1819, 3667, 4775, 3207, 2521, 30, 1665, 30, 1665, 27, 284, 665, 894, 81, 2851, 81, 2846, 26, 784, 711, 291, 623, 630, 32, 3550, 26, 24819, 81, 779, 47, 784, 32, 2851, 36, 32, 3174, 711, 324, 1487, 81, 1637, 440, 1637, 81, 36, 83, 392, 313, 2172, 81, 38054, 32, 916, 392, 313, 286, 392, 4755, 47, 784, 32, 2851, 36, 27, 324, 1789, 280, 630, 32, 1580, 32, 371, 4207, 272, 33, 2300, 33, 13007, 33, 1637, 8172, 2851, 505, 16925, 6132, 101, 20, 904, 630, 32, 2851, 37, 32, 3174, 27, 324, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 36, 34, 34, 27, 324, 1487, 81, 1637, 440, 1637, 81, 37, 84, 392, 313, 2172, 81, 38054, 32, 916, 392, 313, 286, 392, 4755, 47, 784, 32, 2851, 37, 27, 291, 623, 630, 32, 3550, 26, 24819, 81, 779, 47, 784, 32, 2851, 37, 32, 3174, 711, 324, 1487, 81, 1637, 440, 1637, 81, 37, 83, 392, 313, 2172, 81, 38054, 32, 916, 392, 313, 8378, 392, 4755, 47, 784, 32, 2851, 37, 27, 324, 630, 32, 5299, 26, 1969, 32, 5740, 32, 267, 81, 2851, 26, 784, 32, 2851, 36, 32, 3174, 547, 998, 1026, 225, 35, 27, 324, 630, 32, 5299, 26, 1969, 32, 5740, 32, 267, 81, 2851, 26, 784, 32, 2851, 37, 32, 3174, 547, 998, 1026, 225, 36, 27, 324, 630, 32, 5299, 26, 1969, 32, 5740, 32, 16140, 101, 922, 267, 81, 2851, 922, 998, 1026, 225, 36, 27, 291, 623, 630, 32, 3550, 26, 24819, 81, 779, 47, 784, 32, 2851, 36, 32, 3174, 711, 324, 630, 32, 5299, 26, 1969, 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, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 7, 13, 12, 13, 11, 12, 11, 10, 9, 7, 8, 7, 4, 4, 5, 9, 10, 9, 11, 11, 11, 10, 11, 9, 5, 5, 8, 8, 10, 11, 11, 11, 10, 12, 12, 10, 10, 10, 10, 6, 6, 9, 10, 10, 8, 8, 11, 12, 10, 11, 10, 12, 11, 13, 13, 13, 13, 13, 10, 11, 13, 13, 13, 13, 13, 10, 11, 12, 10, 6, 6, 9, 10, 10, 8, 8, 11, 12, 10, 11, 10, 12, 11, 13, 13, 13, 13, 13, 10, 11, 13, 13, 13, 13, 13, 10, 11, 12, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 11, 11, 11, 10, 13, 12, 13, 13, 11, 12, 9, 5, 5, 9, 9, 9, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 9, 10, 12, 11, 12, 12, 9, 6, 6, 8, 8, 11, 12, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 14, 14, 12, 13, 10, 6, 6, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 10, 10, 9, 6, 6, 9, 9, 9, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 9, 10, 12, 11, 12, 12, 9, 4, 4, 5, 9, 10, 9, 11, 11, 11, 10, 13, 12, 13, 13, 11, 12, 9, 5, 5, 9, 9, 9, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 9, 10, 12, 11, 12, 12, 9, 6, 6, 9, 10, 9, 15, 14, 15, 13, 14, 14, 14, 13, 16, 15, 16, 16, 14, 15, 13, 12, 11, 9, 10, 9, 6, 6, 9, 10, 9, 15, 14, 15, 13, 14, 14, 14, 13, 16, 15, 16, 16, 14, 15, 13, 12, 11, 9, 10, 9, 6, 6, 9, 10, 9, 17, 16, 17, 15, 16, 16, 15, 14, 14, 14, 13, 12, 11, 9, 10, 9, 4, 4, 5, 9, 10, 9, 11, 11, 11, 10, 13, 12, 13, 13, 11, 12, 9, 5, 5, 9, 10, 9, 17, 16 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 2, 2, 1, 4, 4, 7, 7, 0, 0, 0, 0, 8, 8, 1, 2, 1, 1, 1, 1, 2, 8, 8, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 3, 1, 4, 4, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 3, 3, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 1, 5, 2, 1, 3, 3, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 7, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 7, 0, 2, 2, 2, 1, 4, 4, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 7, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 3, 1, 3, 3, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 3, 1, 3, 3, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 3, 1, 4, 4, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 3995, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 8524, 1188, 8248, 81, 965, 2208, 203, 1070, 4377, 2304, 1188, 308, 284, 37773, 81, 878, 30, 284, 629, 81, 271, 81, 4108, 30, 284, 15218, 271, 924, 30, 284, 12906, 81, 1104, 30, 203, 27, 203, 823, 488, 716, 63, 716, 3989, 26, 1120, 16653, 711, 284, 12265, 81, 2474, 280, 330, 4537, 418, 716, 32, 7598, 25, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 18470, 1499, 8169, 6505, 4537, 418, 716, 8169, 7598, 33, 6589, 33, 1152, 12390, 66, 46, 314, 8828, 34, 31, 43, 6155, 9905, 284, 617, 24685, 280, 7316, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 4537, 418, 716, 32, 7598, 33, 6589, 33, 1152, 42, 42, 43, 35, 36, 13093, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 42, 42, 43, 35, 36, 370, 324, 330, 407, 950, 330, 1306, 104, 370, 324, 330, 1311, 950, 330, 21188, 9718, 75, 21153, 5187, 37049, 225, 11427, 259, 35626, 1880, 260, 4475, 5767, 12126, 4202, 225, 27478, 6273, 9743, 244, 33080, 4990, 24829, 4666, 722, 24829, 19273, 225, 38835, 247, 26964, 5187, 37049, 7407, 225, 5187, 37049, 370, 324, 330, 6932, 950, 225, 39, 43, 36, 37, 30, 291, 801, 291, 330, 5961, 950, 330, 12014, 372, 2454, 22647, 370, 284, 801, 301, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 4537, 418, 716, 32, 7598, 33, 6589, 33, 1152, 35, 42, 38, 34, 36, 38, 13093, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 38, 37, 41, 36, 43, 370, 324, 330, 1311, 950, 330, 19151, 5935, 18704, 123, 6602, 5485, 18656, 16352, 43457, 7636, 18818, 370, 291, 801, 291, 330, 17113, 81, 887, 998, 950, 225, 42, 40, 30, 291, 330, 5961, 950, 330, 12014, 372, 2454, 22647, 370, 284, 801, 301, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 4537, 418, 716, 32, 7598, 33, 6589, 33, 1152, 35, 41, 37, 35, 35, 37, 13093, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 35, 41, 37, 35, 35, 37, 370, 324, 330, 1311, 950, 330, 1318, 3136, 9489, 2609, 225, 36, 34, 35, 39, 28755, 11311, 10216, 39604, 8923, 15031, 21158, 25, 291, 801, 291, 330, 17113, 81, 887, 998, 950, 225, 36, 30, 291, 330, 5961, 950, 330, 12014, 372, 2454, 22647, 370, 284, 801, 301, 291, 588, 537, 330, 90, 39, 25, 4362, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 4537, 418, 716, 32, 7598, 33, 6589, 33, 1152, 36, 41, 37, 43, 43, 41, 13093, 291, 330, 954, 39, 39, 86, 42, 36, 40, 42, 35, 37, 88, 42, 85, 37, 83, 40, 84, 36, 34, 41, 34, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 36, 41, 37, 43, 43, 41, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 15408, 32874, 11811, 2497, 11585, 9984, 17998, 33181 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 2, 2, 2, 2, 4, 4, 1, 2, 2, 1, 2, 2, 5, 2, 2, 4, 1, 2, 2, 5, 2, 2, 4, 4, 4, 1, 2, 2, 5, 2, 2, 2, 2, 4, 4, 2, 2, 2, 4, 4, 4, 4, 2, 2, 2, 4, 4, 2, 2, 2, 4, 4, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 5, 5, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 9, 9, 12, 12, 10, 9, 9, 9, 9, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 12, 12, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 8, 9, 7, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 7, 10, 10, 10, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 12, 9, 9, 9, 9, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 7, 7, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 7, 7, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 7, 2, 2, 2, 2, 1, 1, 1, 1, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 5, 2, 3, 3, 3, 3, 1, 1, 2, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 0, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 5, 5, 5, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 1, 1, 2, 5, 5, 2, 2 ]
[ 1070, 8527, 32, 36287, 1188, 2908, 30, 5668, 203, 1070, 8527, 32, 4338, 32, 9947, 1188, 4328, 203, 1070, 41310, 32, 3378, 1188, 48938, 30, 10211, 203, 1070, 41310, 32, 26552, 307, 1188, 319, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 399, 8163, 203, 1070, 8527, 32, 525, 1188, 37877, 203, 823, 6422, 1074, 26, 1074, 711, 284, 3079, 280, 330, 38430, 33, 1055, 32, 916, 25, 284, 665, 622, 26, 784, 30, 1326, 711, 291, 442, 2908, 26, 1357, 30, 630, 32, 2387, 27, 203, 823, 11489, 6317, 1074, 26, 1074, 711, 203, 202, 16142, 81, 668, 280, 3037, 854, 2277, 392, 313, 52, 1372, 392, 313, 42434, 392, 313, 58, 7194, 360, 1291, 392, 313, 7339, 1155, 392, 313, 53, 2947, 108, 392, 313, 39376, 716, 392, 313, 9913, 338, 392, 313, 46345, 1075, 392, 313, 61, 302, 1190, 1446, 203, 202, 589, 622, 26, 784, 30, 1357, 711, 357, 202, 16142, 81, 2665, 280, 2149, 357, 202, 979, 15133, 328, 630, 32, 16142, 81, 668, 44, 355, 202, 5020, 280, 48938, 32, 5740, 32, 2029, 26, 16142, 280, 15133, 547, 20224, 26, 19853, 463, 5020, 2847, 355, 202, 16142, 81, 2665, 77, 16142, 79, 280, 6793, 357, 202, 601, 37877, 15520, 26257, 563, 16142, 81, 2665, 1748, 203, 823, 15086, 1074, 26, 1074, 711, 284, 3079, 280, 330, 38430, 33, 3090, 32, 916, 25, 284, 15133, 81, 668, 280, 3037, 854, 2277, 392, 313, 52, 1372, 392, 313, 42434, 392, 313, 58, 7194, 360, 1291, 392, 313, 7339, 1155, 392, 313, 53, 2947, 108, 392, 313, 39376, 716, 392, 313, 9913, 338, 392, 313, 46345, 1075, 392, 313, 61, 302, 1190, 1446, 284, 665, 622, 26, 784, 30, 1326, 711, 291, 442, 2908, 26, 1357, 30, 630, 32, 2387, 30, 5053, 26257, 950, 630, 32, 16142, 81, 668, 1748, 203, 823, 7064, 6317, 1074, 26, 1074, 711, 203, 202, 16142, 81, 668, 280, 3037, 854, 2277, 392, 313, 52, 1372, 392, 313, 42434, 392, 313, 58, 7194, 360, 1291, 392, 313, 7339, 1155, 392, 313, 53, 2947, 108, 392, 313, 39376, 716, 392, 313, 9913, 338, 392, 313, 46345, 1075, 392, 313, 61, 302, 1190, 1446, 203, 202, 589, 622, 26, 784, 30, 1357, 711, 357, 202, 16142, 81, 2665, 280, 2149, 357, 202, 979, 15133, 328, 630, 32, 16142, 81, 668, 44, 355, 202, 38290, 280, 48938, 32, 5740, 32, 2029, 26, 16142, 280, 15133, 27, 355, 202, 21334, 81, 1003, 81, 668, 280, 2149, 355, 202, 979, 11632, 328, 2155, 26, 34, 30, 38, 711, 603, 202, 979, 10135, 328, 2155, 26, 34, 30, 40, 34, 711, 577, 202, 21334, 81, 1003, 81, 668, 77, 14991, 28, 40, 34, 29, 18461, 79, 280, 1605, 355, 202, 979, 26756, 328, 36801, 44, 603, 202, 979, 1133, 328, 26756, 81, 1003, 81, 668, 44, 577, 202, 325, 26756, 32, 770, 32, 11302, 319, 225, 40, 34, 474, 26756, 32, 770, 32, 19880, 610, 1133, 44, 1379, 202, 21334, 81, 1003, 81, 668, 77, 1003, 997, 1689, 26, 21334, 27, 355, 202, 23077, 81, 14298, 81, 668, 280, 2149 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 2, 2, 3, 3, 4, 5, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 9, 8, 8, 13, 14, 12, 13, 12, 14, 13, 13, 12, 11, 10, 12, 12, 14, 14, 6, 6, 10, 10, 10, 9, 10, 9, 8, 8, 4, 4, 5, 5, 7, 11, 11, 10, 10, 10, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 9, 7, 7, 11, 11, 9, 10, 11, 11, 11, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 2, 2, 3, 3, 4, 5, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 9, 8, 8, 11, 12, 10, 11, 10, 12, 11, 11, 10, 6, 6, 9, 9, 9, 9, 9, 8, 8, 6, 6, 7, 7, 7, 7, 9, 10, 9, 10, 9, 7, 7, 9, 9, 9, 9, 11, 12, 11, 12, 12, 11, 9, 9, 14, 14, 14, 14, 14, 13, 16, 15, 16, 16, 14, 15, 13, 12, 12, 6, 6, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 10, 10, 10, 10, 9, 9, 9, 11, 11, 16, 17, 15, 16, 14, 14, 15, 15, 13, 13, 15, 16, 14, 15, 12, 12, 11, 11, 11, 17, 17, 17, 17, 17, 16, 17, 16, 16, 15, 16, 15, 6, 6, 9, 9, 9, 9, 9, 8, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 3, 2, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 3, 2, 1, 1, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 0, 0, 0, 4, 4, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 3, 2, 1, 1, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 2, 2, 2, 2, 1, 1, 1, 3, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 5, 5, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 1070, 2156, 314, 32, 9081, 1188, 3327, 203, 1070, 2156, 314, 32, 1436, 1188, 18711, 1208, 30, 4578, 30, 18571, 779, 36, 81, 3020, 203, 1070, 2156, 314, 32, 14162, 32, 14162, 1188, 12633, 1397, 203, 823, 551, 817, 352, 4294, 1175, 26, 648, 32, 4294, 1175, 711, 284, 2926, 280, 330, 713, 30888, 25, 284, 622, 4814, 3080, 280, 3327, 32, 4294, 1175, 1114, 890, 3080, 203, 823, 25189, 1104, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 711, 291, 630, 32, 1436, 280, 1474, 203, 823, 23341, 1175, 1006, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 84, 648, 280, 551, 817, 352, 4294, 1175, 346, 284, 665, 894, 81, 1553, 2101, 26, 784, 711, 291, 1505, 280, 630, 32, 84, 648, 1114, 1553, 2101, 291, 630, 32, 5066, 23093, 22101, 26, 648, 32, 1337, 4294, 1175, 30, 1505, 30, 12797, 291, 630, 32, 5066, 23093, 22101, 26, 648, 32, 4294, 924, 30, 1505, 30, 5053, 2816, 11501, 5140, 81, 1357, 18143, 291, 1505, 14178, 2816, 950, 784, 32, 84, 648, 32, 2816, 1748, 284, 665, 894, 81, 1553, 2101, 81, 890, 3080, 26, 784, 711, 291, 630, 32, 84, 648, 1114, 1553, 2101, 26, 784, 32, 84, 648, 1114, 890, 3080, 1157, 203, 823, 29489, 1120, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 6309, 26, 784, 711, 291, 630, 32, 5066, 23093, 22101, 26, 18082, 30, 3327, 32, 5871, 1120, 27, 291, 827, 81, 3423, 280, 330, 83, 8210, 25, 291, 312, 1338, 280, 3327, 32, 5871, 1120, 26, 681, 81, 3423, 27, 291, 630, 32, 5066, 23093, 1324, 26, 681, 81, 3423, 30, 312, 1338, 32, 681, 81, 3423, 27, 291, 630, 32, 5066, 23093, 1324, 26, 35, 30, 312, 1338, 32, 998, 27, 291, 630, 32, 5066, 2797, 26, 504, 579, 32, 3648, 27, 291, 630, 32, 5066, 23093, 26, 504, 579, 32, 7909, 438, 1665, 27, 203, 823, 2614, 620, 1263, 1622, 1006, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 17030, 280, 18711, 1208, 346, 284, 665, 894, 81, 2951, 26, 784, 711, 291, 436, 3502, 328, 428, 2521, 30, 330, 12132, 324, 13380, 297, 280, 3327, 32, 452, 620, 1263, 1622, 26, 784, 32, 17030, 30, 3502, 27, 324, 630, 32, 5066, 23093, 1324, 25619, 13380, 297, 27, 284, 665, 894, 81, 6376, 26, 784, 711, 291, 630, 32, 5066, 23093, 22101, 26, 324, 25085, 30, 324, 3327, 32, 452, 620, 1263, 1622, 30, 630, 32, 17030, 30, 330, 525, 555, 18611, 18682, 32, 508, 25844, 284, 665, 894, 81, 658, 26, 784, 711, 291, 8210, 280, 330, 525, 555, 18611, 18682, 32, 508, 7404, 291, 8813, 280, 330, 26727, 81, 15267, 483, 25, 291, 630, 32, 17030, 32, 669, 7886, 26, 3423, 30, 8813, 27, 291, 13380, 297, 280, 3327, 32, 452, 620, 1263, 1622, 26, 784, 32, 17030, 30, 8813, 27, 291, 630, 32, 5066, 23093, 1324, 2009, 3423, 614, 13380, 297, 27, 284, 665, 894, 81, 8268, 26, 784, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 5, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 7, 8, 8, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 9, 7, 7, 7, 7, 11, 11, 11, 11, 11, 11, 4, 4, 7, 11, 11, 12, 11, 12, 12, 10, 11, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 7, 8, 8, 7, 11, 10, 11, 11, 9, 10, 10, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 8, 7, 7, 8, 9, 9, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 4, 4, 7, 6, 6, 8, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 7, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 7, 10, 10, 9, 10, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 6, 6, 8, 5, 5, 9, 8, 8, 10, 11, 11, 11, 11, 10, 12, 11, 12, 10, 10, 10, 6, 6, 9, 10, 10, 10, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 9, 9, 9, 9, 7, 7, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 7, 7, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 8, 4, 4, 7, 8, 8, 8, 7, 9, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 5, 5, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 4, 1, 1, 2, 1, 2 ]
[ 1070, 8527, 32, 2387, 32, 1536, 9211, 1188, 14881, 385, 1414, 203, 1070, 8527, 32, 858, 1188, 7155, 7233, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 3634, 81, 4770, 203, 1070, 4377, 2304, 1188, 4705, 203, 823, 30603, 385, 1414, 4470, 26, 5291, 7233, 711, 284, 477, 5522, 14178, 2758, 385, 1414, 34, 35, 950, 23728, 312, 110, 2758, 385, 1414, 2038, 3335, 323, 110, 2758, 385, 1414, 2038, 18143, 284, 665, 894, 81, 2758, 385, 1414, 34, 35, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 26, 324, 330, 2758, 385, 1414, 34, 35, 370, 324, 301, 400, 330, 83, 950, 4145, 83, 48, 106, 377, 83, 48, 333, 98, 772, 84, 48, 107, 377, 84, 855, 98, 10154, 400, 330, 84, 950, 3634, 81, 4770, 10385, 83, 48, 106, 377, 83, 48, 333, 98, 772, 84, 48, 107, 377, 84, 855, 98, 48, 1425, 324, 801, 291, 829, 291, 630, 32, 5299, 26, 2024, 30, 330, 106, 533, 816, 533, 683, 284, 477, 5522, 14178, 2758, 385, 1414, 34, 36, 950, 330, 4572, 2267, 11731, 2126, 3328, 1656, 312, 110, 2758, 385, 1414, 2038, 3335, 323, 110, 2758, 385, 1414, 2038, 4572, 943, 2837, 11731, 3328, 18143, 284, 665, 894, 81, 2758, 385, 1414, 34, 36, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 26, 324, 330, 2758, 385, 1414, 34, 36, 370, 324, 301, 400, 330, 83, 950, 4145, 83, 48, 106, 377, 83, 48, 333, 98, 772, 84, 48, 107, 377, 84, 855, 98, 10154, 400, 330, 84, 950, 3634, 81, 4770, 10385, 83, 48, 106, 377, 83, 48, 333, 98, 772, 84, 48, 107, 377, 84, 855, 98, 48, 1425, 324, 801, 291, 829, 291, 630, 32, 5299, 26, 2024, 30, 330, 106, 533, 816, 533, 683, 203, 823, 4540, 4470, 26, 5291, 7233, 711, 284, 665, 894, 81, 7201, 26, 784, 711, 291, 630, 32, 5299, 26, 324, 14881, 385, 1414, 463, 6060, 333, 84, 48, 916, 377, 84, 48, 623, 333, 1423, 48, 4792, 440, 4282, 309, 42153, 657, 377, 1423, 48, 1214, 11327, 333, 1275, 1681, 5911, 1425, 324, 330, 6060, 4159, 623, 5953, 440, 4282, 309, 42153, 657, 1214, 11327, 225, 5911, 370, 291, 829, 284, 665, 894, 81, 3780, 81, 800, 81, 1131, 26, 784, 711, 291, 630, 32, 5299, 26, 2758, 385, 1414, 26, 35, 36, 37, 471, 330, 35, 36, 37, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 6, 6, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 11, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 10, 10, 9, 9, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 10, 10, 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, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 11, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 10, 10, 9, 9, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 7, 7, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 10, 10, 10, 9, 7, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 2, 1, 2, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 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 ]
[ 1070, 11171, 1188, 14294, 203, 1070, 12480, 2118, 32, 1262, 32, 6973, 10795, 1188, 31055, 18217, 203, 1070, 12480, 2118, 32, 1262, 32, 1647, 1188, 7703, 203, 1070, 12480, 2118, 32, 6973, 10795, 81, 4889, 1188, 25576, 81, 20698, 18217, 81, 2695, 81, 7921, 203, 1070, 12480, 2118, 32, 6973, 10795, 81, 4889, 1188, 25576, 81, 20698, 18217, 81, 2695, 81, 19675, 203, 1070, 12480, 2118, 32, 6973, 96, 4426, 32, 6973, 96, 4426, 1786, 1188, 7703, 20698, 64, 9531, 8068, 203, 1070, 12480, 2118, 32, 1831, 1188, 20045, 4804, 203, 823, 31055, 18217, 885, 26, 2459, 711, 284, 30522, 81, 2474, 280, 313, 6973, 10795, 81, 371, 20, 284, 38505, 280, 2107, 1647, 81, 681, 370, 330, 9889, 370, 330, 15213, 81, 314, 370, 330, 6973, 10795, 370, 330, 4531, 370, 400, 330, 853, 785, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 17094, 1664, 16369, 291, 630, 3667, 6973, 10795, 280, 1665, 291, 630, 3667, 4531, 280, 1665, 291, 630, 32, 853, 280, 1665, 291, 630, 32, 7088, 280, 1665, 291, 630, 32, 2094, 687, 280, 1665, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 442, 2599, 17094, 3685, 3207, 2455, 27, 461, 766, 324, 630, 32, 6973, 10795, 610, 1604, 32, 6973, 10795, 461, 766, 324, 630, 32, 4531, 610, 1604, 32, 4531, 461, 766, 324, 630, 32, 853, 610, 1604, 32, 853, 284, 477, 2433, 284, 665, 4899, 26, 784, 711, 291, 442, 630, 3667, 4531, 284, 477, 4531, 32, 16527, 284, 665, 4899, 26, 784, 30, 4899, 711, 291, 17086, 280, 20045, 4804, 32, 2472, 2376, 77, 784, 32, 15213, 81, 314, 79, 291, 16965, 10795, 280, 17086, 32, 6973, 17122, 77, 784, 32, 6973, 10795, 79, 291, 415, 4899, 646, 328, 16965, 10795, 32, 893, 32, 14458, 44, 324, 3636, 25085, 440, 1972, 904, 101, 646, 2431, 20, 904, 4899, 27, 291, 630, 3667, 4531, 280, 4899, 284, 477, 2433, 284, 665, 16965, 10795, 26, 784, 711, 291, 442, 630, 3667, 6973, 10795, 284, 477, 6973, 10795, 32, 16527, 284, 665, 16965, 10795, 26, 784, 30, 786, 711, 291, 630, 3667, 6973, 10795, 280, 14294, 26, 466, 26, 853, 490, 284, 665, 372, 81, 2665, 26, 784, 711, 291, 963, 280, 2599, 922, 452, 81, 2665, 346, 291, 963, 710, 6973, 10795, 785, 280, 630, 32, 6973, 10795, 291, 963, 710, 4531, 785, 280, 630, 32, 4531, 291, 963, 710, 7088, 785, 280, 630, 32, 7088, 291, 963, 710, 2094, 687, 785, 280, 630, 32, 2094, 687, 291, 442, 963, 284, 665, 1420, 81, 8232, 26, 784, 711, 291, 415, 630, 32, 15213, 81, 314, 646, 328, 20045, 4804, 32, 2472, 2376, 44, 324, 442, 291, 17086, 280, 20045, 4804, 32, 2472, 2376, 77, 784, 32, 15213, 81, 314, 79, 291, 415, 630, 32, 6973, 10795, 646, 328, 17086, 32, 6973, 17122, 44, 324, 630, 32, 751, 32, 731, 440, 20698, 18217, 904, 101, 646, 2431, 4414, 630, 32, 6973, 10795, 27, 324, 442, 291, 16965, 10795, 280, 17086, 32, 6973, 17122, 77, 784, 32, 6973, 10795, 79, 291, 415, 646, 16965, 10795 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 8, 8, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 12, 11, 11, 11, 10, 8, 8, 9, 8, 10, 11, 11, 9, 9, 10, 11, 11, 7, 7, 8, 7, 9, 10, 8, 8, 9, 10, 6, 6, 7, 6, 8, 9, 7, 7, 8, 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, 7, 7, 10, 9, 10, 10, 8, 10, 9, 10, 10, 10, 8, 5, 5, 8, 7, 7, 9, 10, 10, 8, 10, 9, 10, 10, 8, 5, 5, 6, 7, 7, 7, 10, 9, 10, 8, 9, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 11, 11, 10, 5, 5, 8, 9, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 2, 2, 6, 6, 5, 6, 3, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 7, 7, 9, 11, 11, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 9, 9, 9, 8, 4, 4, 7, 9, 9, 9, 6, 6, 7, 8, 8, 4, 4, 7, 9, 9, 6, 6, 7, 8, 4, 4, 7, 9, 9, 6, 6, 7, 8, 4, 4, 7, 9, 9, 9, 6, 6, 7, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 6, 8, 7, 8, 8, 5, 5, 5, 4, 4, 6, 6, 9, 8, 9, 9, 7, 9, 8, 9, 9, 9, 7, 4, 4, 5, 7, 8, 8, 6, 6, 6, 7, 8, 8, 5, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 10, 11, 11, 9, 6, 6, 4, 4, 7, 6, 6, 8, 9, 9, 7, 9, 8, 9, 9, 7, 4, 4, 5, 6, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 2, 2, 1, 4, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 0, 0, 2, 3, 3, 2, 2, 1, 1, 2, 1, 0, 2, 3, 3, 2, 2, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 0, 1, 2, 5, 5, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 6, 6, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 4, 4, 0, 0, 1, 2, 7, 7, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 1, 1, 2, 0, 0, 2, 2, 2, 4, 4, 0, 1, 2, 0, 0, 2, 2, 4, 4, 0, 1, 2, 0, 0, 2, 2, 4, 4, 0, 1, 1, 2, 0, 0, 2, 2, 2, 4, 4, 5, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 3, 3, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 4, 4, 4, 1, 0 ]
[ 1070, 485, 9480, 32, 1840, 32, 2314, 100, 1439, 4820, 1188, 3772, 1722, 203, 823, 9194, 2755, 26, 1761, 1722, 711, 284, 3619, 81, 13966, 280, 330, 4432, 81, 10340, 44, 6536, 7981, 25, 284, 665, 2145, 4014, 26, 784, 30, 24135, 30, 636, 30, 1858, 47, 2521, 30, 1858, 81, 3142, 47, 2521, 30, 528, 7798, 558, 1057, 47, 668, 32, 8319, 558, 370, 528, 7798, 2348, 14901, 47, 2521, 30, 528, 3627, 606, 47, 2521, 30, 528, 39187, 550, 47, 2521, 30, 3377, 81, 2500, 47, 2521, 30, 528, 1056, 983, 1057, 32, 1216, 81, 1267, 370, 528, 39909, 775, 2778, 47, 2521, 30, 3693, 558, 47, 2521, 30, 24633, 47, 1815, 30, 528, 5102, 606, 1057, 934, 299, 1923, 370, 5254, 81, 823, 47, 2521, 30, 528, 4583, 5125, 4014, 47, 2521, 30, 528, 4324, 2352, 2875, 47, 2521, 30, 17117, 4495, 47, 2700, 30, 528, 617, 267, 1394, 26409, 706, 81, 1959, 47, 2521, 30, 528, 10774, 17059, 47, 2521, 30, 1115, 5321, 711, 291, 1858, 280, 1858, 556, 630, 32, 16565, 444, 291, 415, 646, 5254, 81, 823, 44, 324, 415, 3627, 606, 44, 400, 5254, 81, 823, 280, 330, 4014, 3157, 25, 400, 415, 3627, 606, 610, 13838, 950, 528, 3627, 606, 280, 1665, 324, 813, 44, 400, 5254, 81, 823, 280, 330, 4014, 5374, 25, 291, 415, 646, 3627, 606, 461, 646, 4324, 2352, 2875, 461, 646, 7798, 2348, 14901, 44, 324, 4324, 2352, 2875, 280, 313, 379, 2518, 290, 32, 4410, 89, 3213, 15339, 101, 1814, 21864, 2352, 2875, 473, 20, 904, 5102, 606, 291, 39187, 550, 280, 39187, 550, 556, 330, 1786, 1216, 15231, 101, 25, 904, 636, 291, 40260, 926, 101, 280, 2149, 291, 436, 831, 30, 354, 328, 10306, 32, 3028, 2262, 324, 415, 831, 32, 15990, 463, 30114, 81, 7831, 400, 40260, 926, 101, 77, 93, 77, 38, 46017, 280, 354, 400, 10306, 32, 3235, 26, 93, 27, 291, 630, 32, 1216, 5482, 3728, 26, 16428, 30, 636, 30, 39187, 550, 30, 40260, 926, 101, 47, 30114, 926, 101, 30, 3377, 81, 2500, 47, 5138, 81, 2500, 30, 17117, 4495, 47, 4682, 4495, 27, 291, 24135, 32, 605, 1917, 440, 37398, 638, 1945, 280, 330, 1216, 920, 392, 617, 325, 1057, 10569, 14384, 2778, 32, 12239, 440, 21201, 81, 426, 657, 370, 1014, 10814, 14384, 2778, 347, 11645, 1580, 9970, 32, 21201, 6435, 15231, 101, 20, 904, 636, 30, 1014, 617, 88, 3911, 1057, 80, 32, 1216, 370, 617, 1824, 1057, 2518, 290, 32, 30114, 32, 4792, 26, 2076, 30, 1311, 7243, 1014, 3124, 1057, 3202, 2023, 23307, 4324, 370, 1780, 1057, 3202, 5711, 370, 39187, 550, 47, 31113, 550, 27, 291, 5254, 926, 101, 280, 5436, 26, 31113, 550, 47, 31113, 550, 30, 656, 1858, 47, 1274, 30, 5254, 81, 823, 47, 4432, 81, 823, 30, 656, 1858, 81, 3142, 47, 1274, 81, 3142, 30, 656, 24633, 47, 36005, 30, 3627, 606, 47, 4133, 606, 30, 656, 1056, 983, 47, 1267, 983, 30, 39909, 775, 2778, 47, 968, 775, 2778, 30, 656, 7798, 558, 47, 8319, 558, 30, 656 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 5, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 5, 7, 7, 7, 7, 7, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 4, 4, 6, 5, 7, 7, 7, 7, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 4, 6, 6, 5, 4, 6, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 4, 6, 4, 3, 3, 6, 6, 7, 7, 8, 9, 9, 4, 4, 5, 6, 7, 7, 5, 5, 5, 7, 8, 7, 7, 7, 11, 11, 10, 10, 12, 12, 12, 8, 8, 9, 11, 10, 10, 12, 9, 9, 13, 12, 12, 7, 7, 8, 8, 8, 12, 12, 11, 11, 13, 13, 13, 4, 4, 5, 8, 9, 7, 7, 8, 9, 9, 6, 6, 7, 8, 8, 5, 5, 5, 9, 9, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 4, 4, 7, 6, 6, 8, 7, 7, 10, 10, 10, 10, 10, 8, 8, 4, 4, 7, 7, 6, 6, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 7, 9, 10, 9, 11, 11, 11, 7, 7, 12, 12, 11, 13, 12, 14, 13, 10, 10, 8, 8, 11, 12, 11, 12, 11, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 9, 8, 9, 9, 7, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 7, 8, 10, 10, 10, 7, 9, 8, 9, 9, 7, 4, 4, 7, 7, 6, 6, 8, 10, 10, 9, 10, 10, 8, 8, 8, 9, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 9, 10, 8, 8, 10, 9, 10, 10, 8, 8, 8, 10, 9, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 9, 10, 10, 8, 8 ]
[ 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 0, 11, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 13, 2, 2, 2, 2, 0, 15, 2, 2, 2, 2, 0, 17, 2, 2, 2, 0, 0, 19, 2, 2, 2, 2, 0, 21, 1, 1, 1, 1, 2, 2, 2, 0, 0, 23, 2, 2, 2, 0, 25, 2, 2, 2, 27, 2, 2, 2, 2, 0, 29, 1, 1, 1, 2, 2, 0, 0, 31, 2, 2, 2, 2, 0, 0, 33, 2, 2, 2, 2, 0, 0, 35, 2, 2, 2, 0, 37, 2, 2, 2, 2, 0, 0, 39, 2, 0, 0, 41, 2, 2, 2, 2, 0, 43, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 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, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 5, 1, 1, 5, 5, 0, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 0, 11, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 7, 1, 1, 1, 2, 1, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 2, 1, 13, 1, 1, 2, 1, 0, 15, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 9, 2, 1, 1, 0, 11, 2, 2, 1, 1, 1, 0, 13, 2, 2, 1, 1, 0, 0, 15, 2, 2, 2, 1, 1, 1, 0, 17, 2, 2, 1, 1 ]
[ 1070, 8527, 32, 2957, 32, 11400, 1188, 319, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 28497, 1188, 6207, 81, 3648, 30, 6501, 81, 3648, 203, 1070, 2596, 8914, 32, 11702, 32, 3378, 1188, 319, 203, 1070, 2596, 8914, 32, 11702, 32, 8538, 1188, 319, 203, 1070, 2596, 8914, 32, 11702, 32, 4338, 1188, 2787, 81, 1903, 203, 1070, 2596, 8914, 32, 11702, 32, 2300, 4338, 1188, 570, 5410, 13460, 30, 570, 5410, 5287, 1074, 203, 965, 15719, 280, 15103, 22869, 284, 1984, 26, 100, 28249, 37143, 330, 1333, 8914, 32, 11702, 32, 4338, 32, 1903, 1425, 284, 1984, 26, 100, 28249, 4068, 33, 12390, 66, 46, 7317, 4503, 24913, 7374, 49, 66, 46, 96, 5213, 86, 29, 547, 916, 37143, 324, 330, 1333, 8914, 32, 11702, 32, 4338, 32, 1112, 370, 636, 1057, 1112, 81, 1071, 1425, 284, 1984, 26, 100, 28249, 2142, 33, 12390, 66, 46, 2142, 8828, 80, 33, 38131, 8172, 37143, 330, 1333, 8914, 32, 11702, 32, 2142, 4338, 32, 2142, 668, 1425, 284, 1984, 26, 100, 25, 24970, 33, 12390, 66, 46, 314, 24970, 4503, 29, 547, 916, 37143, 330, 1333, 8914, 32, 11702, 32, 4338, 32, 24970, 370, 636, 1057, 923, 81, 24970, 1425, 284, 1984, 26, 100, 28249, 3419, 279, 33, 12390, 66, 46, 7317, 4503, 24913, 7374, 49, 66, 46, 96, 5213, 86, 29, 547, 916, 37143, 324, 330, 1333, 8914, 32, 11702, 32, 4338, 32, 3419, 279, 370, 636, 1057, 3419, 279, 81, 1071, 1425, 284, 1984, 26, 100, 28249, 1903, 9764, 370, 330, 1333, 8914, 32, 11702, 32, 4338, 32, 1903, 370, 636, 347, 1903, 2113, 284, 1984, 26, 100, 28249, 3274, 1903, 9764, 370, 330, 1333, 8914, 32, 11702, 32, 4338, 32, 3274, 81, 1903, 370, 636, 1057, 3274, 81, 1903, 1425, 284, 1984, 26, 100, 28249, 1877, 33, 24970, 33, 12390, 66, 46, 24970, 314, 5213, 86, 29, 9501, 370, 330, 1333, 8914, 32, 11702, 32, 1877, 32, 1877, 81, 24970, 370, 636, 1057, 1877, 81, 24970, 1425, 284, 1984, 26, 100, 28249, 1877, 33, 2142, 33, 12390, 66, 46, 24970, 314, 5213, 86, 29, 9501, 370, 330, 1333, 8914, 32, 11702, 32, 1877, 32, 669, 81, 2142, 370, 636, 1057, 669, 81, 2142, 1425, 284, 1984, 26, 100, 28249, 1877, 33, 7390, 33, 12390, 66, 46, 24970, 314, 5213, 86, 29, 9501, 370, 330, 1333, 8914, 32, 11702, 32, 1877, 32, 669, 81, 7390, 370, 636, 1057, 669, 81, 7390, 1425, 284, 1984, 26, 100, 28249, 1877, 33, 12610, 9764, 370, 330, 1333, 8914, 32, 11702, 32, 1877, 32, 669, 81, 12610, 370, 636, 1057, 669, 81, 12610, 1425, 284, 1984, 26, 100, 28249, 1877, 33, 3419, 33, 12390, 66, 46, 24970, 314, 5213, 86, 29, 9501, 370, 330, 1333, 8914, 32, 11702, 32, 1877, 32, 669, 81, 3419, 370, 636, 1057, 669, 81, 3419, 1425, 284, 1984, 26, 100, 28249, 1877, 33, 24970, 13093, 330, 1333, 8914, 32, 11702, 32, 1877, 32, 669, 81, 24970, 370, 636, 1057, 669, 81, 24970, 1425, 284, 1984, 26, 100, 28249, 1877, 81, 735, 104, 13093, 570, 5410, 13460, 32, 302, 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, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 6, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 6, 9, 9, 8, 9, 9 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 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, 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, 2, 1, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 12643, 203, 465, 6436, 619, 2065, 203, 465, 8616, 3378, 32, 20065, 32, 1237, 619, 3438, 88, 203, 465, 3540, 3399, 203, 465, 3540, 5136, 36, 203, 465, 17708, 203, 465, 1133, 8442, 203, 589, 4489, 40771, 689, 1243, 26, 18779, 711, 284, 21522, 710, 24420, 36, 785, 280, 21522, 32, 24420, 326, 36, 284, 1542, 280, 3438, 88, 32, 2441, 463, 593, 89, 3165, 11274, 474, 11274, 36, 370, 706, 47, 18779, 27, 284, 3276, 280, 1542, 32, 4698, 346, 284, 442, 1542, 30, 3276, 203, 589, 18443, 40771, 689, 1243, 26, 18779, 30, 636, 711, 284, 1542, 30, 3276, 280, 4489, 40771, 689, 1243, 26, 18779, 27, 284, 17708, 32, 4934, 3303, 518, 5472, 26, 4295, 27, 284, 1133, 8442, 32, 11689, 14069, 3251, 3354, 26, 1160, 30, 3276, 30, 2266, 47, 426, 27, 284, 3540, 3399, 32, 5126, 26, 2388, 1057, 44087, 35, 35, 370, 4511, 1780, 1057, 4698, 3251, 2078, 370, 4511, 816, 1172, 1057, 24420, 370, 4511, 816, 6782, 6020, 31, 34, 32, 35, 30, 225, 37, 32, 42, 614, 4511, 533, 1172, 1057, 4415, 1292, 19032, 1886, 19188, 284, 1133, 8442, 32, 11689, 721, 6392, 12240, 6911, 26, 1160, 30, 3276, 27, 284, 3540, 3399, 32, 5126, 26, 2388, 1057, 44087, 35, 36, 370, 4511, 1780, 1057, 32082, 101, 370, 4511, 816, 1172, 1057, 24420, 370, 4511, 533, 1172, 1057, 4415, 1292, 19032, 1886, 19188, 284, 11274, 280, 2065, 32, 24356, 26, 34, 30, 225, 39, 30, 225, 35, 34, 35, 27, 284, 3540, 3399, 32, 33250, 26, 18779, 32, 24420, 30, 21522, 32, 593, 89, 30, 7377, 47, 34, 32, 35, 30, 2266, 47, 426, 27, 284, 1133, 8442, 32, 11689, 7903, 91, 7363, 26, 18779, 30, 11274, 30, 3420, 47, 2529, 40771, 689, 1243, 27, 284, 3540, 3399, 32, 5126, 26, 2388, 1057, 44087, 35, 37, 370, 4511, 1780, 1057, 20283, 370, 4511, 816, 1172, 1057, 24420, 370, 4511, 816, 6782, 6020, 24420, 77, 34, 14204, 34, 32, 35, 30, 11274, 6448, 35, 6155, 34, 32, 35, 614, 4511, 533, 1172, 1057, 4415, 1292, 19032, 1886, 19188, 203, 589, 18443, 38020, 934, 7903, 91, 7363, 26, 18779, 30, 636, 711, 284, 15732, 280, 1133, 8442, 32, 7894, 9085, 26, 18779, 27, 284, 15732, 710, 38378, 785, 280, 12643, 32, 393, 934, 26, 16370, 32, 593, 89, 32, 4903, 1026, 8106, 47, 35, 42, 34, 27, 284, 15732, 6448, 35, 10056, 284, 1477, 280, 15732, 32, 1055, 6448, 35, 79, 284, 1426, 280, 15732, 32, 393, 934, 6448, 35, 79, 284, 33327, 280, 15732, 32, 38378, 6448, 35, 79, 284, 18719, 280, 12643, 32, 770, 81, 3585, 26, 16370, 32, 1055, 32, 887, 1026, 225, 4985, 15732, 32, 1055, 32, 1449, 346, 474, 2065, 32, 32888, 40, 38, 26, 37, 40, 39, 30, 330, 54, 2847, 284, 22809, 280, 15732, 32, 268, 1055, 26, 4419, 27, 284, 22809, 710, 770, 785, 280, 22809, 32, 1055, 284, 1591, 81, 3368, 280, 2065, 32, 32888, 40, 38, 26, 35, 30, 330, 54, 683, 284, 22809, 710, 6124 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 7, 7, 7, 4, 4, 6, 7, 5, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 5, 6, 6, 6, 6, 5, 6, 5, 2, 2, 6, 5, 6, 6, 6, 6, 5, 6, 5, 5, 5, 5, 6, 7, 5, 2, 2, 6, 5, 6, 5, 7, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 5, 5, 7, 6, 8, 8, 5, 5, 7, 6, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 5, 5, 7, 6, 8, 8, 8, 8, 8, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 6, 5, 5, 5, 2, 2, 6, 5, 6, 5, 7, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 5, 5, 7, 6, 8, 8, 5, 5, 7, 6, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 6, 6, 7, 7, 7, 6, 2, 2, 6, 5, 6, 5, 7, 6, 7, 5, 5, 6, 7, 7, 5, 5, 6, 7, 7, 7, 5, 5, 6, 7, 5, 2, 2, 6, 5, 6, 6, 6, 6, 5, 6, 5, 5, 5, 5, 6, 7, 7, 7, 7, 5, 2, 2, 6, 5, 6, 5, 7, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 5, 5, 7, 6, 8, 8, 5, 5, 7, 6, 10, 9, 10, 9, 9, 9, 9, 7, 7, 9, 11, 9, 9, 9, 9, 7, 5, 5, 7, 6, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 7, 6, 7, 7, 6, 7, 6, 2, 2, 5, 7, 7, 4, 4, 6, 7, 7, 6, 10, 9, 10, 10, 8, 9, 8, 6, 7, 8, 8, 8, 6, 2, 2, 4, 7, 5, 2, 2, 4, 4, 6, 7, 5, 7, 5, 2, 2, 4, 4, 6, 7, 7, 5, 7, 5, 2, 2, 4, 4, 6, 7, 5, 7, 5, 2, 2, 4, 4, 6, 7, 7, 7, 6, 10, 9, 10, 8, 9, 8, 6, 6, 6, 10, 11, 9, 10, 9, 7, 7, 9, 10, 10, 10, 9, 10, 10, 10, 9, 9, 11, 11, 2, 2, 4, 4, 6, 7, 7, 6, 7, 6, 2, 2, 5, 7, 7, 4, 4, 5, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 7, 6, 6, 8, 8, 2, 2, 5, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 2, 0, 4, 1, 1, 2, 0, 4, 4, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 3, 1, 1, 0, 9, 9, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 0, 5, 1, 2, 1, 1, 0, 7, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 0, 9, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 2, 1, 1, 0, 5, 1, 2, 1, 1, 0, 7, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 5, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 0, 5, 1, 2, 1, 1, 0, 7, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 9, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 1, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1 ]
[ 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 465, 1360, 203, 465, 1933, 203, 465, 12460, 203, 465, 821, 4775, 203, 465, 29590, 203, 465, 16539, 203, 465, 22977, 203, 1070, 1673, 2304, 32, 4275, 1188, 9306, 2304, 924, 203, 1270, 44, 284, 739, 203, 7343, 3270, 924, 44, 284, 645, 6900, 1188, 1756, 619, 739, 203, 1070, 6436, 32, 2452, 2304, 32, 8524, 1188, 622, 81, 3893, 203, 505, 464, 505, 280, 2107, 2324, 370, 330, 371, 81, 10337, 81, 1017, 81, 15615, 370, 330, 1536, 81, 1163, 81, 2665, 370, 2607, 330, 2665, 81, 1689, 370, 330, 1689, 983, 370, 330, 5536, 81, 1163, 81, 978, 370, 2607, 330, 371, 81, 3515, 370, 330, 464, 983, 370, 330, 371, 81, 3812, 8820, 370, 2607, 330, 16914, 81, 2040, 81, 8717, 370, 330, 1092, 81, 878, 370, 330, 6555, 81, 878, 370, 330, 14970, 81, 878, 370, 2607, 330, 5466, 81, 878, 370, 330, 31182, 81, 878, 370, 330, 2479, 89, 36, 4463, 37, 36, 1195, 37170, 37, 36, 1195, 464, 81, 8352, 370, 2607, 330, 2040, 81, 88, 81, 11250, 370, 330, 2040, 81, 21937, 81, 11250, 370, 330, 2029, 81, 11250, 370, 2607, 330, 371, 81, 10950, 370, 330, 297, 81, 1696, 81, 1617, 81, 1515, 370, 330, 371, 81, 407, 81, 1855, 81, 2536, 370, 2607, 330, 371, 81, 1423, 81, 2536, 370, 330, 371, 81, 1356, 81, 1855, 81, 2536, 370, 330, 371, 81, 605, 81, 2536, 370, 2607, 330, 4260, 81, 2524, 370, 330, 371, 81, 1744, 370, 330, 887, 2808, 983, 1195, 96, 2524, 370, 2607, 330, 297, 81, 7508, 370, 330, 297, 81, 800, 370, 330, 302, 81, 668, 370, 330, 89, 8478, 370, 330, 371, 81, 4189, 370, 2607, 330, 7345, 81, 1132, 370, 330, 371, 81, 1832, 81, 19362, 370, 330, 371, 81, 1338, 370, 330, 371, 81, 4652, 81, 1338, 785, 203, 823, 6741, 444, 6508, 44, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 1968, 81, 1338, 30, 1760, 81, 1515, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 1832, 81, 1338, 280, 1968, 81, 1338, 291, 630, 32, 1977, 81, 1515, 280, 1760, 81, 1515, 203, 589, 15358, 81, 1132, 26, 1132, 711, 284, 2181, 280, 1149, 26, 1132, 27, 284, 436, 595, 328, 2155, 26, 1657, 26, 1132, 8531, 291, 312, 280, 2181, 77, 91, 79, 291, 415, 330, 330, 328, 312, 461, 312, 77, 34, 79, 646, 328, 6113, 6945, 950, 324, 2181, 77, 91, 79, 280, 6113, 23, 101, 14891, 904, 308, 83, 27, 284, 442, 2181, 203, 589, 1169, 983, 26, 426, 711, 284, 313, 6720, 312, 517, 31, 26398, 29101, 372, 1591, 1471, 322, 6642, 1182, 1519, 17584, 3107, 284, 6122, 3251, 280, 636, 32, 2998, 24667, 284, 442, 2322, 32, 983, 32, 2524, 2740, 2998, 3251, 27, 203, 589, 1875, 81, 983, 26, 983, 30, 2935, 81, 983, 711, 284, 6121, 280, 2322, 32, 983, 32, 21379, 26, 2544, 81, 983, 27, 284, 312, 983, 280, 2322, 32, 983, 32, 21379, 26, 983, 27, 284, 415, 2069, 26, 368 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 4, 4, 4, 5, 5, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 5, 7, 7, 8, 7, 3, 3, 6, 6, 7, 8, 7, 4, 4, 5, 9, 7, 7, 6, 6, 8, 9, 8, 7, 7, 7, 10, 9, 5, 5, 9, 10, 9, 8, 8, 11, 11, 11, 9, 9, 11, 10, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 3, 6, 7, 5, 6, 5, 7, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 2, 2, 3, 6, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 11, 11, 11, 11, 11, 3, 3, 1, 3, 3, 3, 0, 0, 0, 3, 3, 0, 12, 12, 1, 2, 2, 1, 4, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 14, 14, 1, 1, 14, 14, 14, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 5, 5, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 4, 4, 2, 0, 16, 16, 1, 2, 1, 2, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 17, 17, 1, 1, 2, 1, 2, 2, 3, 3, 2, 17, 17, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 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, 6436, 619, 2065, 203, 1070, 18414, 1188, 8616, 203, 465, 14785, 619, 5239, 203, 39447, 280, 5239, 32, 12023, 32, 39447, 203, 823, 18423, 27623, 5947, 4735, 1006, 26, 4213, 32, 858, 32, 7233, 711, 334, 665, 617, 858, 14960, 26608, 26, 784, 30, 44165, 81, 2452, 30, 11768, 30, 16355, 711, 284, 623, 630, 32, 858, 81, 2848, 346, 619, 13597, 44, 397, 44165, 280, 44165, 81, 2452, 26, 6974, 30, 16355, 27, 397, 816, 280, 225, 36, 319, 5239, 32, 5783, 81, 6228, 26, 6974, 27, 397, 1245, 81, 4682, 280, 44165, 32, 751, 81, 4682, 26, 106, 27, 397, 17117, 280, 44165, 32, 4682, 26, 106, 27, 397, 11768, 81, 853, 280, 2065, 32, 5783, 2009, 37, 30, 225, 37, 30, 225, 36, 1130, 397, 16355, 81, 853, 280, 2065, 32, 9880, 2009, 37, 30, 225, 37, 30, 225, 36, 30, 225, 36, 1130, 397, 16355, 81, 853, 31445, 280, 2065, 32, 8543, 26, 36, 27, 397, 816, 81, 853, 280, 225, 36, 32, 319, 2065, 32, 5783, 2009, 37, 30, 225, 37, 30, 225, 36, 1130, 397, 6985, 81, 2665, 280, 301, 6974, 44, 11768, 81, 853, 30, 16355, 44, 16355, 81, 853, 111, 397, 18414, 81, 30669, 280, 8616, 32, 7740, 27623, 81, 4382, 26, 6009, 47, 6974, 81, 853, 9357, 34, 30, 225, 34, 14155, 3391, 28902, 47, 11756, 81, 853, 9357, 34, 30, 225, 34, 14829, 397, 2799, 81, 751, 81, 4682, 280, 18414, 81, 30669, 32, 751, 4682, 26, 106, 81, 853, 9357, 34, 30, 225, 34, 14829, 397, 2799, 81, 4682, 280, 18414, 81, 30669, 32, 4682, 26, 106, 81, 853, 9357, 34, 30, 225, 34, 14829, 397, 1245, 81, 4682, 81, 5092, 8940, 30, 17117, 81, 5092, 8940, 280, 13597, 32, 1945, 2009, 751, 81, 4682, 30, 17117, 614, 6985, 81, 2665, 47, 6528, 81, 2665, 27, 397, 630, 32, 862, 1934, 1324, 2009, 37, 30, 225, 37, 614, 1245, 81, 4682, 81, 5092, 8940, 32, 3229, 27, 397, 630, 32, 862, 1934, 1324, 2009, 37, 30, 225, 37, 614, 17117, 81, 5092, 8940, 32, 3229, 27, 397, 630, 32, 862, 1934, 4173, 26, 3140, 81, 751, 81, 4682, 30, 1245, 81, 4682, 81, 5092, 8940, 77, 34, 30, 225, 34, 1130, 397, 630, 32, 862, 1934, 4173, 26, 3140, 81, 4682, 30, 17117, 81, 5092, 8940, 77, 34, 30, 225, 34, 1130, 334, 665, 894, 14960, 5842, 1250, 26, 784, 711, 284, 11768, 280, 5239, 32, 10335, 26, 4213, 32, 1808, 37, 36, 30, 6024, 4310, 37, 319, 428, 2521, 5259, 284, 16355, 280, 5239, 32, 10335, 26, 4213, 32, 1808, 37, 36, 30, 6024, 4310, 38, 319, 428, 2521, 5259, 284, 630, 1114, 858, 14960, 26608, 26, 39447, 32, 11235, 27623, 5947, 4728, 30, 11768, 30, 16355, 27, 284, 630, 1114, 858, 14960, 26608, 26, 39447, 32, 11235, 27623, 5947, 13833, 1882, 7643, 30, 11768, 30, 16355, 27, 334, 665, 894, 14960, 5842, 4735 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 3, 2, 2, 4, 5, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 5, 10, 11, 11, 11, 10, 8, 8, 5, 5, 5, 8, 8, 10, 10, 10, 11, 10, 10, 10, 6, 6, 8, 8, 10, 9, 9, 11, 12, 12, 12, 11, 12, 11, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 9, 8, 8, 10, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 6, 6, 9, 9, 8, 8, 10, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 6, 6, 10, 10, 9, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 9, 8, 8, 10, 10, 9, 9, 11, 12, 11, 13, 12, 12, 13, 12, 12, 13, 12, 6, 6, 9, 9, 8, 8, 11, 10, 10, 11, 11, 9, 9, 10, 10, 11, 11, 9, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 11, 10, 12, 11, 13, 13, 13, 12, 14, 13, 13, 14, 13, 10, 10, 11, 13, 13, 13, 12, 14, 13, 13, 14, 13, 6, 6, 9, 9, 9, 9, 8, 8, 11, 11, 10, 11, 11, 10, 12, 12, 12, 11, 13, 12, 12, 13, 12, 6, 6, 9, 9, 8, 8, 11, 11, 10, 11, 10, 12, 12, 12, 11, 13, 12, 12, 13, 12, 6, 6, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 8, 8, 10, 11, 10, 12, 12, 12, 11, 11, 11, 10, 12, 12, 11, 12, 12, 12, 10, 6, 6, 9, 10, 10, 10, 9, 11, 10, 10, 11, 10, 9, 11, 11, 11, 11, 11, 10, 11, 9, 6, 6, 9, 10, 10, 10, 9, 11, 10, 10, 11, 10, 9, 11, 11, 11, 10, 11, 9, 6, 6, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 11, 11, 11, 11, 11, 10, 11, 10, 10, 11, 10, 6, 6, 9, 10, 10, 10, 9, 10, 10, 10, 9, 9, 11, 11, 11, 10, 11, 10, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 12, 11, 11, 13, 12, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 12, 11, 11, 13, 12, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 2, 2, 3, 4, 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, 1, 1, 0, 4, 4, 4, 4, 0, 5, 5, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 7, 7, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 7, 7, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 3, 2, 1, 1, 3, 0, 0, 0, 2, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 0, 0, 0, 0, 0, 3, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 0, 0, 0, 3, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 2, 3, 3, 4, 3, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 2, 3, 3, 4, 3, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 1070, 18792, 32, 21332, 1188, 308, 2029, 30, 1509, 30, 1992, 30, 2155, 30, 8529, 27, 261, 203, 465, 7683, 297, 32, 4882, 619, 3312, 203, 1070, 7683, 297, 32, 761, 17213, 32, 33728, 32, 1436, 1188, 617, 1175, 2924, 203, 1070, 7683, 297, 32, 4882, 1188, 4395, 203, 823, 2108, 26, 4882, 32, 59, 10967, 1006, 711, 284, 665, 894, 26, 784, 711, 291, 1474, 81, 2645, 280, 617, 1175, 2924, 26, 3613, 32, 34652, 32, 3607, 30, 3391, 4395, 32, 34652, 32, 2645, 27, 291, 7841, 81, 1977, 280, 330, 29051, 32, 761, 17213, 32, 33728, 32, 1436, 1114, 6189, 35717, 1175, 4564, 766, 5556, 330, 1070, 81, 761, 81, 2881, 25, 291, 2799, 280, 4395, 32, 34652, 32, 1436, 291, 623, 4395, 32, 2675, 26, 2675, 81, 1977, 30, 442, 81, 853, 47, 3140, 27, 619, 9326, 95, 44, 324, 1056, 280, 1474, 81, 2645, 346, 291, 9326, 95, 32, 862, 81, 10910, 81, 8232, 81, 1793, 26, 3613, 32, 34652, 32, 3607, 30, 1891, 4395, 32, 34652, 32, 2645, 27, 291, 630, 32, 25839, 26, 1267, 30, 2799, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 3312, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 11, 10, 11, 9, 10, 8, 8, 8, 10, 11, 9, 10, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 7, 8, 4, 4, 5, 10, 11, 10, 11, 11, 11, 10, 10, 12, 12, 11, 12, 10, 8, 8, 10, 5, 5, 5, 8, 8, 10, 10, 10, 4, 4, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 10, 9, 10, 8, 9, 7, 7, 7, 9, 10, 8, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 3, 3, 0, 1, 2, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 2, 0, 1, 2, 2, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 3, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 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 ]
[ 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 420, 25361, 1188, 17002, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2250, 32, 3560, 81, 363, 81, 4373, 766, 284, 1188, 17002, 619, 2074, 81, 10487, 203, 823, 6422, 1074, 26, 10487, 32, 41528, 35831, 711, 284, 4878, 81, 1363, 81, 823, 280, 2074, 81, 10487, 32, 2791, 2185, 5188, 17074, 284, 3079, 81, 426, 280, 330, 2250, 33, 3560, 81, 363, 81, 4373, 33, 1055, 32, 916, 25, 284, 1938, 81, 1311, 280, 26155, 2791, 549, 7337, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 2, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 5, 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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 3, 3, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 2, 2, 2, 2, 4, 4, 2, 2, 0, 3, 3, 1, 2, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1360, 203, 465, 5237, 203, 465, 1133, 203, 465, 15798, 203, 465, 5839, 81, 2872, 81, 2675, 619, 343, 317, 81, 1647, 203, 421, 32, 13068, 26, 86, 317, 81, 1647, 27, 203, 823, 21878, 3665, 9784, 1006, 26, 18986, 32, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 313, 1006, 420, 18182, 436, 343, 317, 81, 1647, 3107, 284, 630, 32, 86, 317, 280, 343, 317, 81, 1647, 32, 4903, 81, 2872, 81, 2675, 346, 334, 665, 5839, 81, 36005, 21218, 26, 784, 30, 47086, 711, 284, 1344, 35, 280, 3330, 284, 1344, 36, 280, 3330, 284, 436, 816, 328, 2155, 26, 34, 30, 2069, 26, 27726, 2548, 8531, 397, 415, 47086, 77, 106, 1674, 34, 79, 863, 343, 317, 81, 1647, 32, 4903, 81, 2872, 81, 2675, 32, 30064, 81, 2631, 44, 291, 1344, 35, 1454, 47086, 77, 106, 1674, 35, 79, 397, 415, 47086, 77, 106, 1674, 34, 79, 863, 343, 317, 81, 1647, 32, 4903, 81, 2872, 81, 2675, 32, 30064, 81, 6691, 44, 291, 1344, 36, 1454, 47086, 77, 106, 1674, 35, 79, 284, 442, 308, 878, 35, 30, 1344, 36, 27, 203, 823, 21878, 1006, 26, 7832, 3665, 9784, 1006, 711, 334, 665, 894, 7832, 5240, 5419, 26, 784, 711, 284, 630, 32, 5299, 26, 34, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 5419, 440, 8183, 392, 313, 11469, 2131, 284, 630, 32, 5299, 26, 38, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 5419, 440, 35, 36, 37, 38, 25870, 392, 313, 35, 36, 37, 38, 11469, 2131, 284, 630, 32, 5299, 26, 38, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 5419, 440, 35, 36, 37, 38, 392, 313, 35, 36, 37, 38, 11469, 2131, 334, 665, 894, 7832, 5240, 14059, 26, 784, 711, 284, 630, 32, 5299, 26, 34, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 14059, 440, 8183, 392, 313, 11469, 2131, 284, 630, 32, 5299, 26, 38, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 14059, 440, 25870, 35, 36, 37, 38, 392, 313, 11469, 35, 36, 37, 38, 2131, 284, 630, 32, 5299, 26, 38, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 14059, 440, 35, 36, 37, 38, 392, 313, 11469, 35, 36, 37, 38, 2131, 334, 665, 894, 7832, 5240, 31057, 26, 784, 711, 284, 630, 32, 5299, 26, 34, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 31057, 13961, 313, 34439, 2131, 284, 630, 32, 5299, 26, 37, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 31057, 440, 8183, 392, 313, 34439, 2131, 284, 630, 32, 5299, 26, 34, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 31057, 440, 35, 36, 37, 38, 39, 40, 392, 313, 34439, 2131, 284, 630, 32, 5299, 26, 37, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 31057, 440, 35, 36, 37, 38, 39, 40, 10492, 392, 313, 10492, 34439, 2131, 284, 630, 32, 5299, 26, 34, 30, 630, 32, 86, 317, 32, 4903, 81, 2282, 31057, 440, 5501, 392, 2706, 103, 4342, 34, 35, 91, 2131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 4, 4, 2, 2, 3, 3, 3, 0, 4, 3, 4, 3, 4, 4, 4, 4, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 7, 9, 10, 10, 9, 5, 5, 7, 10, 11, 10, 10, 9, 8, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 7, 7, 7, 11, 10, 10, 12, 13, 12, 12, 11, 6, 6, 7, 10, 11, 10, 10, 9, 8, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 7, 7, 7, 11, 10, 10, 12, 13, 12, 12, 11, 4, 4, 5, 7, 7, 6, 6, 7, 6, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 9, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 9, 11, 11, 9, 12, 12, 12, 12, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 5, 5, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 4, 4, 3, 1, 1, 1, 1, 3, 1, 0, 7, 7, 1, 2, 1, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2 ]
[ 823, 4428, 38106, 26, 984, 711, 284, 3097, 203, 823, 1683, 10687, 17138, 924, 26, 3553, 38106, 711, 284, 3097, 203, 81, 7649, 81, 26626, 81, 1407, 81, 6737, 81, 10729, 280, 5436, 26, 284, 3500, 47, 35, 30, 284, 5365, 47, 36, 30, 284, 1858, 47, 37, 30, 284, 2623, 47, 38, 30, 284, 4203, 47, 35, 30, 284, 1858, 1166, 47, 35, 30, 284, 6613, 47, 37, 30, 284, 26782, 47, 35, 30, 203, 27, 203, 81, 35092, 81, 26626, 81, 1407, 81, 6737, 81, 10729, 280, 5436, 26, 4603, 47, 35, 30, 1858, 47, 36, 30, 2623, 47, 37, 30, 4203, 47, 35, 30, 14447, 47, 35, 27, 203, 589, 617, 1809, 81, 416, 81, 7345, 26, 7895, 30, 15358, 81, 1594, 711, 284, 24615, 6197, 280, 225, 34, 284, 2218, 2933, 44, 291, 1596, 44, 324, 15358, 280, 7248, 32, 1055, 26, 7345, 81, 1594, 27, 291, 2940, 10091, 44, 324, 3636, 1683, 10687, 17138, 924, 291, 24615, 6197, 280, 24615, 6197, 474, 15358, 291, 1596, 44, 324, 2354, 81, 1594, 280, 7248, 77, 7345, 474, 225, 35, 79, 291, 2940, 44121, 44, 324, 442, 24615, 6197, 291, 415, 2354, 81, 1594, 610, 15358, 81, 1594, 44, 324, 1596, 44, 400, 7248, 280, 7248, 77, 7345, 474, 225, 36, 10056, 400, 24615, 6197, 280, 24615, 6197, 474, 225, 36, 324, 2940, 44121, 44, 400, 3636, 1683, 10687, 17138, 924, 291, 813, 44, 324, 442, 24615, 6197, 203, 589, 617, 7895, 81, 2208, 26, 7895, 30, 15358, 81, 1594, 711, 284, 415, 646, 7248, 44, 291, 3636, 4428, 38106, 463, 5541, 636, 22205, 556, 707, 38565, 19938, 8057, 683, 284, 3425, 81, 38565, 280, 3177, 284, 415, 7248, 32, 15990, 26, 7345, 81, 1594, 711, 291, 3425, 81, 38565, 280, 2933, 291, 1596, 44, 324, 943, 81, 7345, 280, 617, 1809, 81, 416, 81, 7345, 26, 7895, 77, 35, 23751, 15358, 81, 1594, 47, 7345, 81, 1594, 27, 474, 225, 35, 291, 2940, 1683, 10687, 17138, 924, 44, 324, 3425, 81, 38565, 280, 3177, 291, 813, 44, 324, 415, 943, 81, 7345, 333, 2069, 26, 7895, 27, 429, 225, 35, 44, 400, 415, 7248, 77, 416, 81, 7345, 474, 225, 35, 79, 610, 5608, 950, 528, 8057, 280, 943, 81, 7345, 474, 225, 35, 528, 1932, 81, 7895, 280, 7248, 2867, 4260, 79, 528, 2354, 81, 7895, 280, 7248, 77, 4260, 474, 225, 35, 10056, 528, 9686, 81, 35089, 280, 617, 7895, 81, 2208, 26, 1978, 81, 7895, 30, 15358, 81, 1594, 27, 528, 9686, 81, 35089, 32, 3215, 26, 34, 30, 1932, 81, 7895, 27, 400, 813, 44, 528, 3636, 4428, 38106, 463, 1240, 31253, 22959, 2298, 15820, 6717, 22002, 683, 324, 813, 44, 400, 9686, 81, 35089, 280, 428, 7895, 79, 284, 415, 646, 3425, 81, 38565, 44, 291, 1596, 44, 324, 8057, 280, 7248, 32, 1055, 36909, 291, 2940, 10091, 44, 324, 7248, 280, 7248, 32, 3227, 26, 7345, 81, 1594, 30, 15358, 81, 1594, 319, 225, 36, 27, 324, 7248, 280, 35617, 2524, 1162, 7345, 81, 1594, 30, 7248, 30, 15358, 81, 1594, 490, 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, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 6, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 6, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 5, 2, 2, 3, 3, 3, 3, 5, 5, 5, 8, 8, 10, 11, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 6, 8, 9, 9, 9, 4, 4, 7, 6, 6, 8, 7, 7, 4, 4, 5, 5, 5, 9, 9, 8, 8, 9, 11, 10, 10, 11, 9, 5, 5, 6, 6, 6, 6, 8, 9, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 5, 7, 7, 7, 10, 10, 11, 14, 13, 13, 14, 12, 8, 8, 11, 10, 10, 12, 11, 11, 12, 7, 7, 8, 8, 8, 8, 10, 11, 11, 11, 5, 5, 6, 6, 6, 8, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 3, 3, 3, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 2, 2, 3, 5, 6, 5, 6, 6, 6, 5, 3, 3, 7, 7, 6, 6, 4, 4, 5, 5, 5, 9, 9, 8, 8, 11, 11, 11, 11, 11, 11, 13, 12, 14, 13, 11, 13, 13, 12, 13, 13, 13, 11, 9, 9, 10, 5, 5, 6, 7, 7, 7, 6, 6, 6, 10, 10, 9, 9, 5, 5, 6, 6, 6, 8, 10, 10, 9, 9, 12, 13, 12, 10, 10, 11, 8, 8, 8, 10, 12, 14, 14, 14, 13, 13, 14, 12, 11, 11, 13, 10, 10, 13, 13, 15, 15, 14, 14, 15, 11, 11, 14, 14, 13, 13, 14, 16, 14, 11, 11, 14, 14, 13, 13, 14, 17, 16, 16, 17, 15, 11, 11, 14, 14, 13, 13, 15, 15, 15, 15, 16, 16, 16, 15, 15, 16, 16, 15, 11, 11, 15, 15, 14, 15, 14, 15, 14, 14, 15, 15, 14, 10, 10, 11, 11, 11, 13, 15, 15, 17, 17, 17, 17, 17, 17, 17, 17, 8, 8, 9, 9, 9, 13, 13, 12, 12, 14, 13, 2, 2, 3, 4, 5, 5, 3, 3, 3, 5, 5, 5, 8, 8, 10, 11, 10, 5, 5, 6, 6, 6, 6, 9, 9, 11, 12, 11, 12, 12, 12, 11, 11, 13, 13, 12, 12, 13, 11, 7, 7, 9, 9, 12, 11, 13, 13, 13, 12, 12, 12, 12, 13, 13, 12, 7 ]
[ 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 1, 0, 11, 2, 1, 1, 1, 13, 2, 1, 1, 1, 15, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 2, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 2, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 0, 1, 3, 3, 3, 0, 0, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 3, 3, 4, 4, 4, 0, 1, 0, 5, 5, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 3, 2, 2, 2, 1, 2, 2, 2, 1, 1, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 2, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 3 ]
[ 465, 1933, 203, 465, 2361, 203, 465, 5741, 203, 465, 3995, 203, 1070, 13625, 1188, 33953, 203, 1070, 4134, 1188, 1623, 18241, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 12870, 81, 5379, 1188, 2869, 81, 800, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 816, 1521, 32, 4151, 1188, 22148, 5332, 203, 1070, 816, 1521, 32, 4689, 1188, 1224, 4849, 1176, 750, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 29635, 1188, 34274, 723, 22015, 2780, 30, 4369, 81, 4519, 203, 1070, 816, 1647, 32, 106, 81, 1647, 1188, 1593, 2459, 30, 2297, 81, 2437, 203, 1070, 816, 1647, 32, 30379, 81, 1647, 1188, 45645, 19887, 4327, 203, 1070, 816, 1647, 32, 1294, 81, 1647, 1188, 14893, 750, 6189, 4327, 203, 1070, 816, 1647, 32, 2593, 81, 1647, 1188, 438, 81, 6805, 81, 2142, 30, 636, 81, 452, 81, 20083, 30, 16975, 81, 1495, 203, 1070, 816, 1647, 32, 11452, 1188, 22931, 924, 203, 1070, 638, 11377, 8121, 81, 2304, 1188, 13467, 19879, 8121, 13976, 203, 1070, 638, 5000, 81, 2304, 1188, 1487, 81, 11204, 81, 800, 30, 622, 81, 5000, 81, 1070, 81, 7906, 203, 1070, 638, 5000, 81, 106, 4151, 1188, 13467, 4140, 203, 1070, 638, 5000, 81, 14458, 1188, 13467, 10856, 1074, 15556, 30, 13467, 13302, 1074, 15556, 203, 1070, 816, 1647, 32, 5000, 81, 1647, 1188, 11856, 81, 5000, 81, 15367, 101, 81, 2853, 203, 1270, 44, 284, 1188, 35865, 695, 32, 1237, 619, 35865, 695, 81, 1237, 203, 7343, 29986, 44, 284, 35865, 695, 81, 1237, 280, 1665, 203, 1270, 44, 284, 645, 20375, 299, 32, 3378, 1188, 32559, 299, 1120, 1063, 203, 7343, 29986, 44, 284, 32559, 299, 1120, 1063, 280, 1665, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 81, 280, 9254, 1344, 44, 1344, 203, 823, 13467, 2459, 26, 6076, 4140, 30, 13467, 19879, 8121, 13976, 30, 13467, 10856, 1074, 15556, 30, 1593, 2459, 711, 284, 6027, 81, 1003, 280, 225, 34, 284, 4269, 81, 823, 280, 330, 5000, 25, 284, 2297, 280, 1156, 426, 9818, 3227, 3949, 5000, 81, 1647, 370, 2550, 225, 36, 27, 284, 4060, 280, 301, 291, 330, 754, 950, 428, 324, 2869, 81, 800, 26, 1647, 30, 330, 754, 33, 1617, 33, 5000, 33, 34, 34, 81, 2292, 32, 754, 1425, 324, 2869, 81, 800, 26, 1647, 30, 330, 754, 33, 1617, 33, 5000, 33, 34, 34, 81, 5000, 81, 4219, 32, 754, 1425, 324, 2869, 81, 800, 26, 1647, 30, 330, 754, 33, 1617, 33, 5000, 33, 34, 34, 81, 575, 2265, 32, 754, 1425, 324, 2869, 81, 800, 26, 1647, 30, 330, 754, 33, 1617, 33, 5000, 33, 34, 34, 81, 4396, 81, 2416, 32, 754, 1425, 324, 2869, 81, 800, 26, 1647, 30, 330, 754, 33, 1617, 33, 5000, 33, 34, 34, 81, 91, 35, 42, 96, 32, 754, 1425, 324, 2869, 81, 800, 26, 1647, 30, 330, 754, 33, 1617, 33, 5000, 33, 34, 34, 81, 101, 1260, 32, 754, 1425, 324, 2869, 81, 800, 26, 1647, 30, 330, 754, 33, 1617, 33, 5000, 33, 34, 34, 81, 5162, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 6, 5, 6, 4, 4, 5, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 0, 1, 1, 1, 1, 3, 5, 4, 5, 3, 3, 5, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 7, 7, 7, 6, 8, 8, 8, 8, 6, 6, 7, 6, 2, 2, 4, 4, 5, 5, 8, 8, 6, 7, 7, 9, 9, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 0, 11, 11, 0, 1, 2, 2, 1, 4, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 12, 12, 0, 1, 2, 2, 2, 12, 12, 0, 12, 12, 0, 0, 0, 13, 13, 0, 1, 2, 2, 2, 13, 13, 0, 0, 0, 14, 14, 0, 1, 2, 2, 2, 14, 14, 0, 0, 0, 0, 15, 15, 0, 1, 2, 2, 2, 15, 15, 0, 0, 0, 0, 15, 15, 0, 0, 0, 0, 15, 15, 0, 0, 0, 16, 16, 0, 1, 2, 16, 16, 0, 0, 17, 17, 0, 0, 0, 0, 17, 17, 0, 0, 0, 0, 18, 18, 0, 0, 0, 18, 18, 0, 0, 0, 0, 18, 18, 0, 0, 0, 0, 0, 0, 0, 19, 19, 0, 0, 0, 0, 19, 19, 0, 0, 20, 20, 0, 0, 0, 20, 20, 0, 0, 0, 20, 20, 0, 0, 0, 0, 21, 21, 0, 1, 2, 2, 2, 21, 21, 0, 0, 0, 0, 0, 0, 0, 0, 22, 22, 22, 22, 0, 0, 0, 2, 1, 1, 2, 2, 2, 22, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 23, 23, 23, 23, 0, 0, 1, 2, 0, 0, 0, 0, 0, 23, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 26, 26, 1, 2, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 2, 7, 2, 26, 26, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 5, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 15798, 203, 465, 309, 2542, 587, 203, 465, 12460, 203, 1070, 894, 1188, 2193, 203, 1070, 13625, 32, 8183, 1188, 20393, 4806, 203, 1070, 894, 32, 858, 81, 1199, 95, 1188, 3082, 95, 81, 5162, 203, 589, 498, 35, 26, 101, 711, 284, 442, 309, 32, 5460, 440, 23423, 31, 35, 657, 203, 823, 3519, 678, 2665, 26, 12907, 4806, 711, 284, 313, 4806, 688, 9567, 3519, 5036, 20, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 86, 280, 2149, 284, 665, 1156, 33644, 3207, 784, 30, 1202, 711, 291, 442, 630, 32, 86, 77, 62, 35, 26, 678, 2177, 284, 665, 1156, 470, 1094, 3207, 784, 30, 1202, 30, 786, 711, 291, 630, 32, 86, 77, 62, 35, 26, 678, 2177, 280, 786, 284, 665, 1156, 4025, 1094, 3207, 784, 30, 1202, 711, 291, 3555, 630, 32, 86, 77, 62, 35, 26, 678, 2177, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 2069, 26, 784, 32, 86, 27, 284, 665, 3850, 3494, 26, 784, 711, 291, 436, 831, 328, 630, 32, 86, 32, 3494, 2262, 324, 6761, 831, 32, 4434, 440, 23423, 31, 35, 657, 284, 1156, 1731, 505, 280, 3850, 3494, 284, 665, 5036, 26, 784, 711, 291, 442, 1149, 26, 784, 32, 1731, 3494, 1157, 284, 665, 1933, 26, 784, 711, 291, 442, 3519, 678, 2665, 26, 784, 32, 86, 27, 203, 823, 19205, 26, 18986, 32, 7233, 711, 284, 2771, 280, 313, 38722, 1433, 32, 1199, 20, 284, 665, 28921, 26, 784, 711, 291, 436, 296, 328, 12460, 32, 13285, 26, 784, 32, 3359, 5667, 28, 10280, 324, 2193, 32, 23754, 26, 88, 27, 284, 665, 894, 81, 2679, 26, 784, 711, 291, 343, 35, 280, 2149, 291, 309, 280, 309, 2542, 587, 32, 25387, 487, 26, 86, 35, 30, 7079, 47, 36, 30, 2866, 975, 47, 2700, 27, 291, 309, 710, 678, 35, 785, 280, 428, 35, 30, 36, 30, 37, 30, 38, 79, 291, 630, 32, 5299, 26, 101, 710, 678, 35, 2188, 428, 35, 30, 36, 30, 37, 30, 38, 1130, 291, 630, 32, 5299, 26, 1657, 26, 101, 471, 225, 35, 27, 291, 309, 32, 2679, 346, 291, 630, 32, 23895, 26, 22239, 30, 2069, 30, 309, 27, 291, 1596, 44, 324, 309, 710, 678, 35, 785, 291, 2940, 10091, 44, 324, 3097, 291, 813, 44, 324, 630, 32, 5066, 463, 13624, 11017, 487, 1395, 646, 2290, 312, 1202, 683, 284, 665, 894, 81, 14510, 81, 761, 81, 38722, 26, 784, 711, 291, 309, 280, 309, 2542, 587, 32, 1676, 26, 784, 32, 3359, 30, 7079, 47, 34, 27, 291, 1596, 44, 324, 309, 710, 678, 35, 785, 280, 308, 35, 30, 36, 30, 37, 30, 38, 27, 324, 630, 32, 5299, 26, 101, 710, 678, 35, 2188, 308, 35, 30, 36, 30, 37, 30, 38, 490, 291, 8295, 44, 324, 309, 32, 2679, 346, 284, 665, 894, 81, 7003, 81, 761, 81, 38722, 26, 784, 711, 291, 309, 280, 309, 2542, 587, 32, 1676, 26, 784, 32, 3359, 30, 7079, 47, 35, 27, 291, 1596, 44, 324, 309, 710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 8, 8, 8, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 9, 9, 9, 10, 9, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 8, 8, 8, 9, 8, 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, 5, 5, 8, 9, 7, 8, 7, 5, 5, 8, 10, 11, 10, 12, 12, 12, 12, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 10, 9, 10, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 7, 7, 9, 8, 9, 7, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 7, 10, 9, 10, 8, 10, 10, 5, 5, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 4, 4, 6, 6, 9, 9, 8, 9, 9, 8, 9, 9, 8, 8, 9, 10, 8, 8, 10, 9, 10, 8, 4, 4, 7, 9, 9, 9, 6, 6, 8, 7, 8, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 10, 10, 10, 7, 9, 8, 9, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 7, 4, 4, 5, 5, 5, 8, 10, 10, 10, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 5, 5, 9, 11, 11, 11, 8, 8, 10, 9, 10, 9, 10, 9, 10, 9, 6, 6, 9, 10, 9, 11, 10, 12, 12, 12, 9, 11, 10, 11, 10, 11, 10, 11, 10, 5, 5, 6, 6, 6, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 5, 5, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 0, 2, 1, 1, 1, 1, 2, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 4, 4, 4, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 1, 0, 0, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 1, 0, 1, 2, 1, 4, 4, 6, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 8, 2, 1, 2, 8, 8, 0, 1, 0, 0, 2, 2, 1, 4, 4, 9, 2, 1, 2, 9, 9, 0, 0, 0, 1, 0, 1, 2, 1, 0, 8, 8, 2, 0, 1, 2, 2, 8, 8, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 0, 5, 2, 1, 4, 4, 0, 1, 1, 2, 0, 0, 1, 2, 3, 2, 5, 2, 7, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 3, 3, 3, 5, 3, 7, 3, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 7, 7, 0, 1, 1, 2, 7, 7, 3, 3, 3, 3, 7, 7, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 3, 2, 5, 2, 7, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 3, 3, 3, 5, 3, 7, 3, 1, 1, 3, 3, 3, 0, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 0 ]
[ 465, 1933, 203, 465, 5741, 203, 465, 2322, 203, 465, 316, 203, 1070, 296, 12856, 24271, 25274, 1188, 296, 12856, 619, 22085, 81, 24780, 203, 1070, 1344, 3006, 1188, 3319, 10406, 203, 1070, 12121, 930, 514, 2195, 32, 25882, 32, 2195, 4519, 1188, 17119, 4097, 2825, 203, 1070, 12121, 930, 514, 2195, 32, 2304, 32, 2946, 4280, 1188, 1420, 81, 2501, 203, 1070, 12121, 930, 514, 2195, 32, 2304, 32, 1647, 4280, 1188, 7703, 35182, 203, 465, 12121, 930, 514, 2195, 32, 9777, 619, 390, 203, 823, 2032, 35182, 26, 2459, 35182, 711, 284, 3042, 1846, 280, 330, 641, 555, 933, 32, 508, 33, 19441, 33, 19441, 25, 284, 4040, 81, 17986, 81, 15895, 280, 301, 291, 330, 7095, 81, 1170, 950, 330, 1262, 370, 291, 330, 3607, 950, 1665, 30, 291, 330, 5919, 950, 5518, 291, 330, 36042, 950, 5518, 291, 330, 9353, 950, 1605, 284, 320, 284, 2276, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 7361, 2859, 761, 47, 2521, 30, 18099, 1515, 47, 2521, 30, 5867, 47, 2521, 711, 291, 415, 18099, 1515, 438, 1665, 44, 324, 630, 32, 15199, 1515, 280, 28948, 4724, 693, 930, 514, 2195, 33, 2613, 33, 19441, 32, 2536, 32, 15199, 25, 291, 813, 44, 324, 630, 32, 15199, 1515, 280, 2322, 32, 983, 32, 2524, 26, 15199, 1515, 30, 330, 19441, 32, 2536, 32, 15199, 683, 291, 630, 32, 15199, 1515, 280, 2322, 32, 983, 32, 8931, 496, 26, 784, 32, 15199, 1515, 27, 291, 415, 5867, 44, 324, 630, 32, 26942, 280, 330, 641, 555, 933, 32, 508, 22298, 2473, 1643, 26, 6426, 27, 291, 630, 32, 2195, 2859, 761, 280, 7361, 2859, 761, 291, 630, 32, 2195, 2859, 280, 2149, 291, 630, 32, 53, 5834, 280, 2149, 291, 630, 32, 3539, 5834, 280, 2149, 291, 630, 32, 2872, 81, 2613, 280, 2149, 291, 630, 32, 1877, 26, 5538, 47, 1815, 27, 291, 630, 32, 1935, 81, 18908, 280, 2149, 284, 665, 3185, 81, 4519, 26, 784, 711, 291, 415, 630, 32, 2195, 2859, 761, 438, 646, 1665, 44, 324, 623, 2156, 26, 784, 32, 2195, 2859, 761, 30, 330, 4506, 683, 619, 296, 44, 400, 540, 605, 280, 296, 32, 850, 346, 291, 813, 44, 324, 11828, 280, 5608, 933, 33, 10829, 14254, 32, 7070, 25, 324, 540, 605, 280, 630, 32, 371, 81, 761, 81, 1286, 26, 4426, 27, 291, 415, 540, 605, 44, 324, 630, 32, 2195, 2859, 280, 17119, 4097, 2825, 32, 2208, 81, 6045, 26, 32846, 27, 291, 813, 44, 324, 630, 32, 2195, 2859, 280, 2149, 291, 630, 32, 53, 5834, 280, 2149, 291, 436, 831, 30, 104, 328, 630, 32, 2195, 2859, 32, 371, 463, 2536, 370, 43241, 3028, 2262, 324, 415, 646, 354, 44, 400, 4036, 324, 415, 330, 7255, 25, 646, 328, 354, 44, 400, 4036, 324, 436, 11659, 328, 354, 710, 7255, 12132, 400, 415, 11659, 646, 328, 630, 32, 53, 5834, 44, 528, 630, 32, 53, 5834, 77, 7317, 79, 280, 1605, 400, 415, 831, 646, 328, 630, 32, 53, 5834, 77, 7317, 2786, 528, 630, 32, 53, 5834 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 4, 2, 2, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 4, 4, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 8, 8, 6, 5, 5, 8, 8, 6, 5, 5, 2, 2, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 7, 6, 6, 5, 5, 5, 9, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 12, 13, 11, 12, 11, 12, 12, 11, 11, 13, 13, 13, 13, 13, 13, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 6, 5, 5, 5, 7, 12, 14, 13, 14, 14, 14, 12, 12, 14, 14, 10, 10, 7, 7, 7, 11, 10, 10, 12, 13, 12, 5, 5, 6, 6, 6, 9, 9, 11, 11, 11, 11, 11, 11, 11, 7, 7, 10, 9, 9, 11, 12, 12, 12, 12, 12, 11, 12, 11, 4, 4, 5, 6, 5, 5, 5, 9, 10, 10, 8, 8, 11, 11, 10, 11, 11, 11, 10, 11, 10, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 4, 4, 7, 8, 8, 6, 6, 4, 4, 5, 6, 7, 5, 5, 10, 11, 11, 9, 10, 9, 11, 11, 9, 8, 7, 5, 5, 7, 8, 7, 7, 7, 6, 6, 7, 10, 10, 8, 8, 8, 7, 7, 7, 6, 6, 7, 7, 7, 8, 10, 10, 7, 7, 9, 10, 10, 10, 11, 12, 12, 9, 9, 9, 14, 15, 15, 13, 14, 13, 12, 12, 8, 8, 9, 10, 10, 10, 12, 13, 13, 11, 12, 11, 9, 9, 15, 16, 16 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 3, 3, 2, 2, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 4, 6, 6, 0, 0, 0, 7, 7, 0, 0, 0, 1, 2, 1, 4, 4, 7, 7, 0, 0, 0, 8, 8, 0, 0, 0, 1, 2, 1, 4, 4, 8, 8, 0, 0, 9, 9, 0, 0, 0, 0, 2, 1, 1, 0, 10, 10, 1, 2, 1, 1, 2, 10, 10, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 7, 2, 2, 1, 2, 9, 2, 2, 4, 4, 0, 0, 4, 4, 3, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 5, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 3, 1, 2, 3, 3, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 3, 3, 0, 1, 0, 0, 0, 5, 5, 1, 1, 2, 1, 1, 1, 1, 1, 1, 5, 5, 2, 2, 2, 3, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 5, 5, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2 ]
[ 109, 284, 330, 426, 950, 330, 24669, 89, 3876, 429, 10791, 4033, 29153, 370, 284, 330, 1648, 950, 330, 35, 32, 36, 370, 284, 330, 2077, 950, 330, 1614, 2743, 31, 37, 370, 284, 330, 2116, 950, 330, 22124, 40369, 370, 284, 330, 12787, 950, 330, 641, 555, 1499, 32, 431, 604, 32, 508, 33, 1637, 33, 47771, 370, 284, 330, 3153, 25, 499, 330, 29844, 370, 284, 330, 2310, 950, 1524, 203, 24669, 89, 2531, 34857, 436, 328, 31, 461, 27701, 328, 22668, 308, 777, 747, 99, 372, 3497, 81, 331, 1804, 711, 203, 6467, 7557, 284, 429, 26655, 330, 3576, 25, 1600, 6492, 372, 330, 26367, 25, 284, 429, 2222, 2193, 436, 30221, 89, 2531, 10791, 4033, 29153, 203, 51, 10791, 4033, 29153, 883, 526, 4723, 6924, 544, 27701, 328, 22668, 9267, 372, 322, 2412, 17240, 44, 203, 2657, 5877, 6736, 275, 35, 27, 9500, 499, 474, 1046, 4252, 68, 33, 4252, 4252, 33, 4252, 31298, 21500, 291, 1115, 68, 497, 68, 280, 326, 9500, 17880, 1507, 30, 1115, 2918, 280, 326, 3456, 17880, 1507, 275, 36, 27, 2821, 499, 474, 1046, 1680, 75, 33, 23164, 33, 1706, 69, 2918, 21500, 291, 1115, 1680, 75, 280, 326, 17052, 432, 322, 18526, 30, 1115, 1706, 69, 280, 326, 16736, 5104, 30, 1115, 2918, 280, 326, 3456, 17880, 1507, 275, 37, 27, 14850, 9494, 474, 1046, 4252, 68, 33, 4252, 4252, 33, 1706, 69, 37151, 21500, 291, 1115, 68, 497, 68, 280, 326, 14850, 9494, 2876, 2979, 31, 10125, 7125, 30, 1115, 1706, 69, 280, 326, 16736, 5104, 30, 1115, 2918, 280, 326, 3456, 17880, 1507, 261, 203, 1318, 16312, 827, 432, 10791, 4033, 29153, 461, 5746, 24563, 883, 526, 203, 14256, 544, 322, 40388, 9212, 32, 399, 330, 3855, 25, 10791, 4033, 29153, 1098, 203, 6398, 415, 1289, 8218, 438, 3191, 544, 322, 40388, 3627, 32, 3701, 3330, 392, 284, 330, 27263, 950, 2107, 3524, 2188, 284, 330, 6380, 950, 5518, 284, 330, 605, 25, 499, 428, 291, 330, 15699, 81, 1071, 32, 2593, 370, 291, 330, 3524, 81, 10969, 81, 1071, 32, 2593, 370, 40196, 2505, 284, 330, 2837, 81, 3789, 950, 3177, 30, 284, 330, 3789, 444, 950, 2933, 30, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 2, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 3, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 2, 2, 5, 5, 3, 2, 2, 5, 5, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 5, 5, 3, 2, 2, 2, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 1, 1, 1, 1, 2, 0, 0, 1, 2, 7, 1, 1, 2, 0, 0, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 11, 1, 2, 0, 0, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 15, 1, 2, 0, 0, 1, 2, 17, 0, 0, 1, 2, 19, 19, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 21, 0, 0, 0, 1, 1, 2, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5741, 203, 1070, 35094, 1188, 7360, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 858, 32, 1580, 1188, 4448, 2214, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 11426, 283, 32, 4338, 1188, 11426, 283, 81, 4156, 30, 6144, 81, 687, 203, 1070, 11426, 283, 32, 3378, 1188, 447, 25647, 7371, 30, 22946, 203, 1070, 9525, 32, 3378, 1188, 2680, 4290, 30, 5799, 81, 314, 81, 979, 81, 496, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 1070, 3619, 10185, 1188, 17197, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 40809, 283, 7233, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 5792, 280, 4448, 2214, 346, 291, 630, 32, 965, 280, 10156, 463, 8673, 283, 81, 4156, 683, 291, 26355, 280, 330, 8183, 25, 291, 630, 32, 496, 280, 2680, 32, 5740, 32, 1297, 81, 496, 463, 858, 496, 370, 330, 858, 50, 858, 32, 508, 370, 26355, 27, 291, 630, 32, 496, 36, 280, 2680, 32, 5740, 32, 1297, 81, 496, 463, 858, 496, 36, 370, 330, 858, 36, 50, 858, 32, 508, 370, 26355, 27, 291, 630, 32, 5665, 81, 496, 81, 314, 280, 5799, 81, 314, 81, 979, 81, 496, 26, 784, 32, 496, 27, 291, 630, 32, 5665, 81, 496, 81, 314, 36, 280, 5799, 81, 314, 81, 979, 81, 496, 26, 784, 32, 496, 36, 27, 291, 2464, 280, 7138, 32, 2174, 26, 15689, 27, 291, 630, 32, 2061, 11703, 280, 2464, 474, 30784, 26, 6124, 47, 35, 27, 291, 630, 32, 107, 27216, 280, 2464, 429, 30784, 26, 6124, 47, 35, 27, 291, 2680, 4290, 32, 5740, 32, 1297, 26, 496, 47, 784, 32, 496, 27, 291, 2680, 4290, 32, 5740, 32, 1297, 26, 496, 47, 784, 32, 496, 36, 27, 284, 665, 1930, 81, 1357, 26, 784, 30, 2364, 81, 605, 30, 1256, 47, 2521, 711, 291, 1326, 280, 630, 32, 5792, 32, 1526, 26, 784, 32, 965, 30, 2364, 81, 605, 27, 291, 1326, 32, 496, 280, 630, 32, 496, 415, 646, 1256, 813, 1256, 291, 442, 1326, 284, 665, 1930, 81, 4027, 19926, 81, 5020, 81, 1357, 26, 784, 30, 43067, 81, 3631, 30, 5273, 81, 13806, 30, 1256, 47, 2521, 711, 291, 415, 646, 26, 681, 26, 8773, 81, 13806, 27, 610, 1149, 711, 324, 5273, 81, 13806, 280, 428, 8773, 81, 13806, 79, 291, 415, 646, 26, 681, 26, 4027, 19926, 81, 3631, 27, 610, 1149, 711, 324, 43067, 81, 3631, 280, 428, 4027, 19926, 81, 3631, 79, 291, 1256, 280, 630, 32, 496, 415, 646, 1256, 813, 1256, 291, 665, 6793, 81, 2665, 26, 4027, 19926, 81, 314, 30, 5273, 81, 5020, 711, 324, 442, 3447, 66, 25647, 779, 563, 43067, 81, 314, 30, 528, 313, 7044, 620, 563, 313, 5020, 392, 528, 313, 15036, 7044, 563, 5273, 81, 5020, 30, 528, 313, 3059, 7044, 563, 5273, 81, 5020, 474, 225, 34, 32, 34, 35, 30, 528, 313, 7044, 2062, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10, 9, 10, 10, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 6, 6, 7, 7, 9, 11, 10, 11, 9, 4, 4, 7, 8, 8, 6, 6, 7, 7, 9, 11, 10, 11, 9, 4, 4, 9, 8, 9, 7, 8, 7, 9, 8, 10, 9, 10, 7, 4, 4, 9, 8, 9, 7, 8, 7, 9, 8, 10, 9, 10, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 8, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 7, 8, 7, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 5, 7, 10, 10, 11, 11, 11, 10, 8, 8, 7, 5, 5, 9, 9, 8, 8, 10, 10, 10, 9, 4, 4, 5, 7, 10, 10, 11, 11, 11, 11, 10, 8, 8, 7, 5, 5, 9, 9, 8, 8, 10, 10, 10, 10, 9, 4, 4, 6, 6, 8, 9, 7, 7, 8, 7, 7, 4, 4, 5, 6, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 6, 5, 5, 7, 11, 11, 11, 11, 9, 10, 10, 8, 8, 8, 11, 11, 11, 9, 11, 11, 8, 8, 11, 11, 11, 9, 10, 10, 8, 8, 8, 11, 11, 11, 9, 11, 11, 10, 10, 11, 11, 11, 11, 8, 8, 8, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 4, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 8, 8, 0, 9, 9, 1, 2, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 10, 10, 10, 10, 10, 10, 0, 11, 11, 0, 11, 11, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 2, 7, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 505, 464, 505, 280, 2107, 8541, 370, 330, 32071, 370, 330, 8541, 410, 370, 330, 8541, 493, 370, 330, 8541, 669, 370, 2607, 330, 8541, 1113, 370, 330, 3415, 2209, 338, 370, 330, 8541, 507, 370, 330, 8541, 695, 370, 330, 8541, 35, 86, 370, 2607, 330, 8541, 4698, 370, 330, 12206, 5711, 785, 203, 465, 316, 203, 465, 11685, 203, 465, 6436, 32, 1262, 32, 10125, 619, 37353, 203, 1070, 6436, 32, 1262, 1188, 308, 297, 13049, 30, 11366, 30, 296, 1338, 30, 821, 27977, 81, 35, 86, 30, 420, 3034, 30, 8057, 30, 1417, 30, 715, 11668, 27, 203, 1070, 6436, 32, 1356, 32, 4148, 431, 449, 81, 1439, 1188, 15534, 30, 354, 19173, 203, 1070, 6436, 32, 1356, 32, 1126, 81, 1439, 1188, 11760, 81, 9880, 30, 3844, 81, 11476, 203, 1070, 6436, 32, 1356, 32, 681, 81, 1553, 1188, 438, 11476, 30, 4011, 30, 17463, 30, 29999, 411, 687, 203, 1070, 6436, 32, 20973, 1188, 38382, 9359, 30, 20265, 5664, 30, 4691, 203, 823, 29281, 5711, 26, 1240, 5711, 711, 284, 3097, 203, 589, 10214, 26, 4948, 81, 1028, 81, 9880, 711, 284, 8690, 81, 1028, 81, 9880, 280, 821, 27977, 81, 35, 86, 26, 4948, 81, 1028, 81, 9880, 27, 284, 787, 280, 8690, 81, 1028, 81, 9880, 32, 3229, 284, 415, 2069, 26, 615, 27, 610, 225, 36, 461, 787, 77, 34, 79, 610, 787, 77, 35, 79, 461, 787, 77, 34, 79, 863, 225, 34, 44, 291, 8690, 81, 1028, 81, 9880, 280, 38382, 9359, 26, 4948, 81, 1028, 81, 9880, 27, 284, 4348, 2069, 26, 615, 27, 610, 225, 35, 44, 291, 8793, 280, 8690, 81, 1028, 81, 9880, 32, 12010, 291, 415, 8793, 863, 1300, 44, 324, 8690, 81, 1028, 81, 9880, 280, 8690, 81, 1028, 81, 9880, 32, 15315, 26, 20292, 411, 687, 26, 2632, 32, 1594, 490, 284, 813, 44, 291, 3636, 10091, 440, 1131, 2298, 526, 225, 35, 86, 556, 2979, 31, 2951, 14627, 225, 36, 86, 1417, 7144, 284, 415, 2069, 26, 4948, 81, 1028, 81, 9880, 27, 610, 225, 34, 44, 291, 442, 225, 35, 32, 34, 284, 8793, 280, 8690, 81, 1028, 81, 9880, 32, 12010, 284, 312, 280, 11668, 1162, 35, 28020, 9710, 47, 2632, 27, 284, 436, 831, 328, 2155, 26, 1657, 26, 4948, 81, 1028, 81, 9880, 8531, 291, 312, 280, 37353, 32, 6081, 2921, 26, 83, 30, 1417, 2009, 35, 30, 429, 4948, 81, 1028, 81, 9880, 77, 93, 6137, 9710, 47, 2632, 471, 715, 2926, 1057, 2620, 683, 284, 415, 438, 39288, 26, 83, 32, 12010, 32, 681, 30, 37353, 32, 11476, 20707, 711, 291, 33032, 280, 37353, 32, 26742, 26, 4948, 81, 1028, 81, 9880, 30, 8640, 27, 291, 3400, 81, 32071, 280, 3844, 81, 11476, 26, 16011, 32, 12447, 26, 32071, 32, 17792, 848, 225, 34, 30, 33032, 490, 291, 7528, 81, 32071, 280, 37353, 32, 23277, 888, 332, 26, 3323, 81, 11476, 26, 2476, 37353, 32, 12447, 26, 32071, 32, 17792, 333, 225, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 3, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 5, 6, 2, 2, 3, 8, 9, 8, 6, 6, 7, 5, 5, 7, 8, 7, 6, 6, 7, 8, 7, 4, 4, 6, 7, 6, 5, 5, 6, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8, 8, 9, 9, 9, 9, 9, 8, 3, 3, 4, 7, 8, 7, 5, 5, 6, 4, 4, 4, 7, 7, 9, 9, 9, 9, 8, 9, 5, 5, 6, 7, 7, 6, 6, 6, 10, 10, 10, 10, 9, 9, 12, 12, 12, 12, 11, 12, 11, 13, 13, 13, 13, 15, 14, 15, 13, 3, 3, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 6, 7, 7, 7, 7, 7, 6, 4, 4, 5, 3, 3, 3, 5, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 5, 6, 2, 2, 4, 4, 6, 8, 7, 6, 7, 8, 6, 2, 2, 3, 3, 3, 5, 7, 7, 8, 8, 8, 8, 8, 7, 3, 3, 6, 6, 8, 9, 9, 8, 9, 8, 8, 10, 12, 11, 11, 14, 14, 14, 14, 14, 13, 14, 13, 10, 11, 12, 10, 8, 8, 9, 11, 11, 2, 2, 3, 5, 5, 8, 7, 8, 6, 7, 5, 5, 6, 7, 7, 5, 3, 3, 6, 6, 8, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 11, 10, 11, 10, 13, 12, 13, 11, 11, 12, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 12, 13, 12, 15, 14, 15, 13, 13, 14 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 2, 0, 4, 1, 1, 0, 5, 5, 1, 2, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 6, 1, 2, 1, 4, 4, 4, 4, 4, 6, 6, 6, 6, 0, 0, 7, 7, 1, 2, 1, 4, 4, 4, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 4, 4, 8, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 9, 9, 0, 9, 9, 0, 10, 10, 1, 2, 1, 1, 2, 10, 10, 0, 11, 11, 2, 1, 1, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 6, 6, 6, 1, 0, 1, 1, 1, 1, 1, 1, 1, 6, 6, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 2, 4, 4, 7, 0, 1, 0, 0, 2, 1, 2, 1, 1, 3, 2, 2, 1, 7, 7, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2 ]
[ 465, 3738, 203, 465, 17787, 203, 465, 316, 203, 465, 27374, 203, 1070, 5034, 32, 49009, 1356, 1188, 1359, 203, 1731, 81, 2516, 280, 428, 284, 3738, 32, 7167, 620, 30, 284, 3738, 32, 39309, 30, 284, 3738, 32, 8924, 620, 203, 79, 203, 800, 81, 2516, 280, 428, 284, 3738, 32, 47639, 30, 284, 3738, 32, 14923, 620, 203, 79, 203, 10125, 81, 2516, 280, 428, 284, 3738, 32, 1428, 620, 30, 284, 3738, 32, 3952, 620, 30, 284, 3738, 32, 3670, 620, 203, 79, 203, 853, 81, 2516, 280, 428, 284, 3738, 32, 4709, 620, 30, 284, 3738, 32, 2521, 620, 203, 79, 203, 7095, 81, 2516, 280, 3850, 81, 2516, 29, 800, 81, 2516, 29, 10125, 81, 2516, 29, 853, 81, 2516, 203, 5790, 81, 1647, 81, 13000, 280, 540, 25, 12456, 83, 31, 15188, 31, 76, 34, 31, 43, 5015, 8169, 18262, 203, 823, 27327, 924, 26, 984, 711, 284, 3097, 203, 589, 10128, 26, 2067, 30, 12741, 81, 1959, 47, 2521, 30, 5079, 81, 4890, 47, 2521, 30, 5079, 19066, 711, 284, 415, 646, 12741, 81, 1959, 44, 291, 12741, 81, 1959, 280, 1359, 32, 6282, 81, 1959, 284, 415, 646, 5079, 81, 4890, 44, 291, 5079, 81, 4890, 280, 1359, 32, 3617, 81, 4890, 284, 2830, 81, 681, 280, 827, 26, 2067, 27, 284, 415, 2830, 81, 681, 328, 12738, 81, 2516, 29, 800, 81, 2516, 29, 853, 81, 2516, 44, 291, 442, 2830, 284, 415, 2830, 81, 681, 328, 3850, 81, 2516, 44, 291, 415, 2830, 81, 681, 328, 308, 2516, 32, 39309, 30, 3738, 32, 8924, 620, 711, 324, 537, 81, 2067, 280, 1605, 324, 436, 1623, 328, 2830, 44, 400, 537, 81, 2067, 32, 1689, 26, 5937, 26, 1094, 30, 12741, 81, 1959, 30, 9474, 5079, 81, 4890, 30, 5079, 490, 324, 415, 2830, 81, 681, 438, 3738, 32, 8924, 620, 44, 400, 537, 81, 2067, 280, 8825, 26, 890, 81, 2067, 27, 324, 442, 537, 81, 2067, 291, 813, 44, 324, 537, 81, 2067, 280, 2149, 324, 436, 1202, 30, 786, 328, 2830, 32, 40957, 2262, 400, 537, 81, 2067, 77, 678, 79, 280, 10128, 26, 853, 30, 12741, 81, 1959, 30, 9474, 5079, 81, 4890, 30, 5079, 27, 324, 442, 537, 81, 2067, 284, 2297, 81, 426, 280, 17787, 32, 371, 1647, 26, 2067, 14585, 426, 505, 284, 443, 81, 426, 280, 2830, 3667, 823, 29215, 426, 505, 284, 2361, 81, 823, 280, 443, 81, 426, 284, 415, 2297, 81, 426, 646, 328, 2107, 370, 11477, 1831, 505, 12132, 291, 2361, 81, 823, 280, 6611, 101, 15231, 101, 25, 904, 308, 1647, 81, 426, 30, 2361, 81, 823, 27, 284, 442, 81, 2067, 280, 3447, 505, 1260, 823, 505, 8932, 1260, 81, 823, 30, 6653, 284, 415, 12741, 81, 1959, 328, 4921, 26, 2067, 711, 291, 12741, 280, 18623, 26, 2067, 30, 12741, 81, 1959, 27, 291, 2803, 30, 11758, 280, 12741, 346, 291, 442, 81, 2067, 710, 505, 1260, 823, 505, 5695, 1689, 26, 2132, 27, 291, 442, 81, 2067, 32, 1877, 26, 10407, 27, 291, 442, 442, 81, 2067 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 3, 3, 3, 4, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 4, 5, 3, 3, 3, 4, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 6, 6, 5, 6, 6, 6, 4, 5, 5, 5, 3, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 3, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 3, 2, 1, 1, 3, 4, 5, 5, 3, 3, 3, 7, 7, 6, 6, 7, 8, 8, 8, 2, 2, 3, 4, 5, 5, 3, 3, 3, 7, 7, 6, 6, 7, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 5, 6, 6, 6, 3, 3, 3, 5, 2, 2, 3, 5, 5, 4, 4, 5, 5, 3, 3, 3, 5, 7, 7, 6, 6, 9, 8, 9, 7, 7, 8, 9, 9, 7, 5, 5, 9, 9, 8, 8, 6, 6, 7, 7, 7, 7, 7, 7, 12, 12, 11, 12, 11, 13, 13, 14, 13, 13, 14, 14, 13, 13, 13, 14, 14, 13, 13, 13, 6, 6, 7, 9, 9, 8, 8, 9, 10, 10, 7, 7, 7, 11, 11, 10, 10, 12, 13, 13, 13, 12, 6, 6, 7, 8, 8, 5, 5, 6, 6, 6, 10, 10, 9, 9, 7, 7, 8, 9, 9, 8, 8, 10, 11, 10, 8, 8, 13, 13, 12, 13, 12, 11, 11, 13, 14, 13, 13, 14, 14, 13, 13, 13, 14, 14, 13, 13, 13, 7, 7, 8, 9, 9, 2, 2, 5, 5, 4, 4, 7, 8, 8, 7, 8, 7, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 3, 5, 5, 4, 4, 4, 7, 5, 7, 7, 7, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 7, 7, 9, 9, 9, 8, 8, 9, 9, 8, 2, 2, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 2, 2, 3, 5, 5, 4, 4, 6, 7, 6, 3, 3, 6, 6, 8, 9, 8, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 4, 4, 9, 9, 8, 10, 10, 10, 10, 10, 8, 7, 8, 7, 4, 4, 8, 8, 7, 8, 7, 8, 7, 4, 4, 5, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 12, 12, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 12, 12, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 4, 4, 4, 0, 0, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 5, 1, 1, 1, 3, 3, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 5, 1, 1, 1, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 8, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 4, 4, 10, 0, 0, 1, 1, 1, 1, 1, 10, 10, 0, 0, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 4, 1, 1 ]
[ 465, 12460, 203, 1070, 2919, 2208, 1188, 3659, 2825, 203, 465, 16539, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 22977, 203, 465, 5237, 203, 1648, 280, 330, 1832, 31, 464, 32, 978, 30, 1503, 225, 34, 32, 34, 35, 25, 203, 1832, 81, 1515, 280, 4963, 464, 31, 37008, 25, 203, 2682, 81, 2501, 280, 3037, 104, 696, 4973, 392, 313, 3477, 1446, 203, 2682, 81, 2121, 280, 2322, 32, 12757, 203, 2682, 81, 2121, 32, 1877, 1371, 291, 330, 9292, 950, 330, 3902, 370, 291, 330, 44954, 81, 36158, 950, 330, 3902, 31, 4108, 31, 4783, 31, 2314, 340, 14569, 41085, 291, 330, 61, 6191, 81, 3908, 9064, 12661, 950, 330, 1508, 25, 1790, 203, 464, 81, 2184, 280, 2149, 203, 589, 1048, 26, 2076, 711, 284, 5237, 32, 8228, 32, 1821, 440, 731, 44, 904, 101, 78, 96, 20, 904, 3124, 27, 203, 589, 3547, 26, 2076, 711, 284, 1048, 26, 2076, 27, 284, 5237, 32, 4775, 26, 35, 27, 203, 589, 1505, 81, 6474, 2262, 284, 415, 308, 1206, 2322, 32, 983, 32, 29712, 463, 1400, 1844, 7401, 9135, 683, 556, 291, 646, 2322, 32, 983, 32, 29712, 463, 1004, 33, 3902, 33, 31982, 31, 874, 95, 33, 61, 1163, 41095, 291, 3547, 440, 2272, 4163, 1330, 11911, 372, 526, 600, 488, 5618, 5801, 4921, 657, 203, 589, 1505, 81, 1832, 2262, 284, 415, 646, 2322, 32, 983, 32, 34103, 26, 1832, 81, 1515, 711, 291, 1596, 44, 324, 2322, 32, 27428, 26, 1832, 81, 1515, 27, 291, 2940, 546, 21887, 619, 13489, 44, 324, 415, 13489, 32, 12864, 610, 19493, 32, 55, 27530, 44, 400, 3097, 324, 813, 44, 400, 3636, 203, 589, 1974, 81, 1163, 26, 761, 30, 596, 711, 284, 1459, 330, 29875, 904, 101, 623, 13894, 23, 101, 6945, 78, 96, 25, 904, 308, 761, 30, 596, 27, 284, 665, 1163, 280, 2156, 26, 761, 30, 330, 83, 683, 284, 665, 1163, 32, 1821, 26, 466, 474, 3228, 96, 683, 284, 665, 1163, 32, 2679, 346, 203, 589, 8971, 81, 15752, 2262, 284, 4467, 280, 2149, 284, 436, 310, 328, 12460, 32, 13285, 463, 1004, 33, 3902, 33, 15752, 33, 874, 95, 77, 34, 31, 43, 6603, 81, 589, 1163, 7831, 291, 4467, 77, 500, 32, 983, 32, 15705, 26, 96, 27, 20129, 35, 34, 3212, 280, 310, 284, 436, 310, 328, 12460, 32, 13285, 463, 1004, 33, 3902, 33, 15752, 33, 99, 2713, 40036, 589, 1163, 7831, 291, 4467, 77, 500, 32, 983, 32, 15705, 26, 96, 27, 20129, 35, 34, 3212, 280, 310, 284, 442, 4467, 203, 823, 7958, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1245, 426, 711, 291, 630, 32, 751, 426, 280, 1245, 426, 291, 630, 32, 2995, 280, 2156, 26, 751, 426, 30, 330, 105, 683, 284, 665, 1420, 26, 784, 30, 2181, 711, 291, 5684, 1693, 280, 2156, 3247, 1902, 33, 1693, 370, 330, 100, 683, 291, 11504, 280, 16539, 32, 45606, 26, 1132, 30, 24621, 47, 1902, 1693, 30, 400, 4533, 47, 2682, 81, 2121, 30, 400, 4845, 891, 47, 34, 30, 400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 0, 3, 3, 3, 2, 2, 3, 4, 0, 4, 4, 4, 3, 4, 3, 4, 4, 7, 7, 5, 7, 7, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 4, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 2, 1, 1, 6, 7, 5, 6, 5, 8, 8, 8, 8, 9, 9, 8, 6, 6, 5, 0, 1, 1, 2, 3, 2, 1, 1, 5, 6, 5, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 1, 1, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 5, 5, 5, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 3, 3, 5, 5, 5, 9, 10, 9, 10, 10, 10, 9, 5, 5, 6, 8, 7, 7, 6, 6, 6, 8, 10, 11, 9, 9, 10, 11, 11, 8, 8, 8, 8, 8, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 4, 4, 6, 5, 5, 5, 2, 2, 5, 4, 4, 6, 7, 6, 6, 8, 8, 2, 2, 6, 5, 6, 5, 7, 6, 6, 9, 8, 2, 2, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 7, 12, 11, 12, 10, 11, 10, 11, 10, 8, 11, 11, 8, 6, 6, 2, 2, 3, 3, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 7, 12, 11, 12, 10, 11, 10, 11, 10, 8, 11, 11, 8, 6, 6, 2, 2, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 8, 10, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 10, 10, 10, 10, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 9, 10, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 9, 10, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 13, 13, 2, 1, 2, 13, 13, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 14, 14, 2, 1, 2, 14, 14, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 15, 15, 1, 1, 2, 15, 15, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 16, 16, 1, 1, 2, 16, 16, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 0, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 4, 4, 4, 0, 17, 17, 1, 1, 2, 1, 2, 2, 2, 17, 17, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 0, 1, 1, 0, 2, 4, 4, 0, 0, 2, 1, 0, 18, 18, 1, 1, 2, 18, 18, 0, 0, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 4, 4, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 4, 4, 3, 0, 19, 19, 19, 19, 19, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 7, 2, 1, 1 ]
[ 465, 2322, 32, 983, 203, 465, 5237, 203, 2897, 280, 2933, 203, 17143, 81, 2897, 280, 2933, 203, 15816, 69, 280, 308, 203, 27, 203, 16758, 81, 24013, 280, 2726, 35, 36, 41, 32, 34, 32, 34, 32, 35, 370, 27, 203, 10656, 1614, 9135, 280, 43101, 69, 203, 12146, 81, 7789, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 12146, 81, 7789, 30, 31001, 21180, 203, 20528, 69, 280, 301, 284, 330, 1536, 950, 301, 291, 330, 28137, 950, 330, 11025, 32, 1199, 32, 11514, 32, 14107, 37, 370, 4456, 330, 2474, 950, 330, 89, 10650, 857, 370, 7693, 291, 330, 4975, 950, 330, 12243, 370, 7693, 291, 330, 13001, 950, 2550, 6019, 291, 330, 8472, 950, 2550, 7693, 291, 330, 3624, 950, 2550, 7693, 284, 320, 203, 111, 203, 4804, 81, 27368, 280, 330, 29521, 33, 30236, 81, 1045, 300, 1882, 25, 203, 34801, 81, 3521, 280, 330, 272, 31, 352, 25, 203, 24819, 81, 779, 280, 225, 35, 203, 4855, 81, 59, 35, 42, 64, 280, 2933, 203, 4855, 81, 62, 35, 34, 64, 280, 2933, 203, 21512, 81, 7789, 280, 4247, 203, 21512, 81, 2413, 280, 4247, 203, 15816, 81, 21512, 81, 9857, 280, 3056, 2300, 33, 3435, 7404, 203, 17252, 81, 3307, 280, 11134, 20476, 42, 83, 37, 40, 27, 40, 23, 41, 38, 87, 39900, 941, 39, 3736, 19, 42, 83, 26, 14635, 21, 4692, 104, 2502, 910, 89, 24, 50, 34, 47, 14599, 80, 557, 19, 41, 47, 107, 50, 25, 203, 7789, 81, 2413, 14594, 280, 330, 2763, 81, 2250, 32, 11400, 25, 203, 17143, 81, 31254, 280, 308, 284, 2322, 32, 983, 32, 2524, 26, 12146, 81, 7789, 30, 330, 8881, 1425, 203, 27, 203, 6585, 45421, 81, 47406, 280, 308, 284, 330, 11025, 32, 12023, 32, 2393, 370, 284, 330, 11025, 32, 12023, 32, 1286, 2516, 370, 284, 330, 11025, 32, 12023, 32, 18780, 370, 284, 330, 37406, 370, 284, 330, 89, 10650, 857, 370, 284, 330, 23705, 370, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 0, 1, 1, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 7, 9, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 5, 5, 5, 8, 8, 6, 8, 8, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 5, 7, 7, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 2, 2, 2, 1, 2, 11, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 30, 5237, 203, 1270, 44, 284, 739, 280, 739, 351, 203, 7343, 3270, 924, 44, 284, 645, 6900, 1188, 1756, 619, 739, 203, 1270, 44, 284, 8594, 280, 8594, 203, 7343, 3270, 924, 44, 284, 665, 8594, 26, 27816, 711, 291, 20265, 280, 1149, 26, 27816, 27, 291, 20265, 32, 3323, 346, 291, 442, 20265, 203, 1270, 44, 284, 645, 281, 652, 2338, 1188, 44524, 284, 18394, 2338, 280, 44524, 203, 7343, 29986, 44, 284, 645, 3363, 1188, 44524, 30, 18394, 2338, 203, 1270, 44, 284, 802, 81, 823, 280, 1695, 800, 203, 7343, 3270, 924, 44, 284, 802, 81, 823, 280, 596, 203, 1270, 44, 284, 1188, 281, 14686, 274, 619, 19571, 203, 7343, 29986, 44, 284, 1188, 19571, 203, 1270, 44, 284, 2155, 280, 35198, 203, 7343, 3270, 924, 44, 284, 2155, 280, 2155, 203, 325, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 225, 34, 711, 284, 665, 2299, 81, 687, 81, 1473, 26, 687, 30, 3649, 81, 1110, 711, 291, 2299, 26, 687, 30, 3649, 81, 1110, 27, 203, 1824, 44, 284, 9967, 26, 291, 8329, 26, 324, 313, 589, 2299, 81, 687, 81, 1473, 26, 687, 30, 3649, 81, 1110, 48775, 96, 20, 324, 313, 264, 2299, 1340, 328, 3649, 81, 1110, 78, 96, 392, 324, 3778, 2493, 81, 1126, 9601, 313, 2493, 20, 324, 829, 291, 829, 203, 1270, 44, 284, 1188, 1359, 3922, 203, 7343, 29986, 44, 284, 1188, 3383, 2825, 619, 1359, 3922, 203, 465, 47223, 203, 1270, 44, 284, 2156, 81, 1855, 280, 47223, 32, 1676, 647, 203, 7343, 29316, 44, 284, 1596, 44, 291, 11140, 81, 8644, 280, 47223, 32, 14268, 81, 8644, 10065, 2940, 29316, 44, 291, 665, 2156, 81, 1855, 26, 10555, 711, 324, 442, 2156, 26, 10555, 30, 313, 100, 71, 657, 284, 813, 44, 291, 645, 3363, 1188, 3319, 2338, 4672, 291, 665, 2156, 81, 1855, 26, 10555, 711, 324, 3112, 280, 2156, 26, 10555, 30, 330, 4506, 683, 324, 7328, 30, 617, 280, 11140, 81, 8644, 26, 2668, 32, 25637, 27, 324, 3112, 32, 14408, 26, 34, 27, 324, 1344, 280, 3319, 2338, 4672, 26, 2668, 30, 7328, 30, 1628, 81, 2668, 299, 47, 1815, 27, 324, 1344, 32, 2816, 280, 330, 100, 25, 324, 442, 1344, 203, 325, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 225, 34, 711, 284, 665, 372, 81, 3651, 26, 101, 711, 291, 442, 309, 32, 4434, 463, 3310, 42, 683, 284, 665, 372, 81, 800, 26, 84, 711, 291, 442, 323, 32, 5460, 463, 3310, 42, 683, 203, 1824, 44, 284, 665, 372, 81, 3651, 26, 101, 711, 291, 442, 309, 284, 665, 372, 81, 800, 26, 84, 711, 291, 442, 323, 203, 325, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 225, 34, 711, 284, 665, 2866, 81, 12596, 26, 10555, 30, 1344, 30, 7328, 1057, 3310, 42, 370, 3878, 1057, 5848, 7831, 291, 5881, 2538, 802, 529, 878, 82, 372, 803, 4467, 529, 10555, 1801, 623, 7328, 48256, 291, 296, 280, 2156, 26, 10555, 30, 330, 105, 370, 7328, 47, 8644, 30, 3878 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 4, 4, 1, 1, 2, 2, 3, 2, 2, 2, 4, 4, 4, 5, 5, 0, 1, 1, 1, 1, 4, 4, 1, 2, 2, 3, 2, 2, 2, 4, 5, 6, 5, 4, 4, 7, 7, 9, 10, 9, 5, 5, 8, 9, 8, 5, 5, 6, 0, 1, 1, 1, 1, 3, 5, 5, 3, 3, 2, 2, 5, 4, 4, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 0, 1, 1, 1, 1, 5, 5, 4, 4, 5, 1, 2, 2, 3, 2, 2, 2, 6, 6, 5, 5, 0, 1, 1, 1, 1, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 1, 1, 4, 4, 1, 2, 2, 3, 2, 2, 2, 5, 5, 0, 1, 1, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 7, 7, 8, 8, 7, 1, 2, 2, 2, 2, 6, 6, 6, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 12, 12, 11, 8, 8, 10, 10, 10, 10, 8, 10, 10, 8, 8, 6, 6, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 4, 7, 5, 5, 6, 0, 1, 1, 0, 1, 1, 1, 1, 5, 5, 4, 4, 5, 6, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 8, 8, 7, 7, 8, 9, 9, 9, 4, 4, 5, 5, 5, 5, 7, 8, 8, 8, 9, 8, 7, 7, 9, 11, 12, 11, 11, 13, 13, 13, 4, 4, 5, 5, 5, 7, 7, 7, 9, 9, 6, 6, 7, 8, 8, 8, 9, 8, 7, 7, 10, 10, 12, 13, 12, 12, 14, 14, 8, 8, 11, 11, 10, 10, 12, 12, 12, 14, 13, 14, 12, 8, 8, 11, 12, 11, 12, 11, 8, 8, 10, 10, 12, 12, 12, 13, 12, 12, 12, 12, 14, 14, 14, 13, 14, 12, 8, 8, 11, 12, 10, 10, 12, 12, 8, 8, 9, 0, 1, 1, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 1, 2, 2, 2, 2, 4, 5, 5, 5, 6, 5, 4, 4, 6, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 0, 1, 1, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 7, 7, 7, 4, 5, 7, 7, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 8, 9, 8, 8, 10, 10, 8, 9, 10, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 3, 3, 1, 3, 3, 3, 0, 0, 0, 3, 3, 0, 2, 2, 2, 2, 0, 0, 2, 3, 3, 1, 3, 3, 3, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 2, 4, 3, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 1, 1, 5, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 6, 3, 3, 1, 3, 3, 3, 0, 0, 0, 7, 7, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 7, 7, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 0, 0, 1, 1, 1, 1, 3, 3, 1, 7, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 8, 8, 8, 8, 0, 0, 8, 3, 3, 3, 3, 3, 0, 0, 1, 1, 2, 0, 9, 9, 0, 10, 10, 10, 10, 0, 0, 0, 0, 2, 2, 10, 10, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 5, 2, 1, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 5, 0, 11, 11, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 11, 11, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 11, 4, 4, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 12, 12, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 12, 12, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 1, 1, 2, 2, 7, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 1 ]
[ 465, 2361, 203, 465, 1671, 203, 465, 2322, 261, 203, 7615, 81, 1338, 280, 428, 34, 436, 816, 328, 2155, 26, 35, 34, 34, 34, 34, 2177, 203, 7615, 81, 605, 280, 2156, 12004, 7615, 81, 605, 392, 313, 100, 657, 203, 979, 1628, 328, 6717, 81, 605, 44, 203, 202, 928, 280, 1628, 32, 38848, 346, 203, 202, 24394, 1208, 83, 280, 1628, 32, 2998, 463, 47, 11968, 34, 79, 203, 202, 605, 280, 1628, 32, 2998, 463, 47, 11968, 35, 79, 203, 202, 7615, 81, 1338, 77, 410, 26, 24394, 1208, 83, 2177, 280, 706, 203, 589, 622, 9113, 750, 308, 1110, 83, 711, 203, 202, 601, 6717, 81, 1338, 77, 1110, 83, 79, 203, 979, 2771, 328, 2322, 32, 26366, 3949, 7831, 203, 202, 325, 646, 2322, 32, 983, 32, 29712, 26, 3359, 711, 357, 202, 7505, 203, 202, 325, 646, 2771, 32, 20643, 5791, 1110, 10280, 357, 202, 7505, 203, 202, 3831, 272, 280, 2156, 26, 3359, 30, 313, 4506, 657, 203, 202, 24394, 1208, 83, 280, 2771, 77, 38, 44, 3359, 32, 1809, 3949, 12357, 203, 202, 761, 5077, 280, 313, 1110, 302, 81, 1260, 5681, 474, 313, 1110, 83, 20, 474, 21639, 1208, 83, 474, 5608, 1260, 25, 203, 202, 3316, 6100, 280, 2156, 26, 761, 5077, 2360, 105, 657, 203, 202, 1216, 803, 5077, 203, 202, 3831, 272, 32, 850, 26, 36, 39, 40, 29, 35, 41, 27, 5355, 202, 1110, 83, 280, 3813, 77, 34, 436, 533, 328, 2155, 26, 40, 2177, 436, 533, 328, 2155, 26, 35, 34, 35, 2177, 436, 533, 328, 2155, 26, 35, 34, 35, 2177, 1659, 202, 106, 280, 225, 35, 203, 202, 5525, 308, 816, 333, 225, 35, 34, 35, 711, 357, 202, 107, 280, 225, 35, 357, 202, 5525, 308, 107, 333, 225, 35, 34, 35, 711, 355, 202, 4545, 280, 1671, 32, 15404, 10385, 52, 370, 308, 3831, 272, 32, 850, 26, 35, 2610, 77, 34, 79, 8667, 202, 325, 308, 4545, 549, 225, 35, 711, 603, 202, 29482, 535, 2598, 47, 35, 355, 202, 1824, 44, 603, 202, 29482, 535, 2598, 47, 34, 355, 202, 1823, 35, 280, 1671, 32, 15404, 10385, 58, 370, 308, 3831, 272, 32, 850, 26, 36, 2610, 77, 34, 79, 8667, 202, 325, 308, 4545, 549, 225, 36, 711, 603, 202, 1823, 36, 280, 1671, 32, 15404, 10385, 58, 370, 308, 3831, 272, 32, 850, 26, 36, 2610, 77, 34, 79, 8667, 202, 1824, 44, 603, 202, 1823, 36, 47, 34, 355, 202, 325, 308, 4545, 549, 225, 38, 711, 603, 202, 1823, 37, 280, 1671, 32, 15404, 10385, 58, 370, 308, 3831, 272, 32, 850, 26, 36, 2610, 77, 34, 79, 8667, 202, 1824, 44, 603, 202, 1823, 37, 47, 34, 355, 202, 325, 308, 4545, 549, 225, 42, 711, 603, 202, 1823, 38, 280, 1671, 32, 15404, 10385, 58, 370, 308, 3831, 272, 32, 850, 26, 36, 2610, 77, 34, 79, 8667, 202, 1824, 44, 603, 202, 1823, 38, 47, 34, 355, 202, 325, 308, 4545, 549, 225, 35, 40, 711, 603, 202, 7489, 280, 1671, 32, 15404 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 6, 7, 7, 7, 7, 7, 6, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 4, 6, 6, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 8, 7, 9, 9, 6, 5, 2, 2, 5, 4, 4, 7, 8, 7, 9, 9, 6, 5, 2, 2, 6, 6, 6, 5, 7, 7, 8, 8, 8, 7, 4, 4, 0, 1, 1, 2, 2, 1, 3, 3, 2, 1, 1, 3, 3, 5, 5, 4, 5, 5, 4, 0, 1, 1, 1, 1, 3, 4, 3, 5, 1, 1, 3, 3, 4, 7, 8, 6, 7, 6, 7, 6, 3, 3, 5, 2, 2, 3, 3, 4, 6, 7, 6, 8, 8, 3, 3, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 8, 8, 2, 2, 5, 5, 5, 4, 4, 5, 7, 6, 9, 8, 9, 8, 10, 2, 2, 5, 5, 4, 4, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 6, 6, 7, 7, 5, 5, 7, 7, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 8, 8, 2, 2, 3, 3, 4, 2, 2, 6, 6, 5, 6, 5, 7, 7, 7, 6, 7, 7, 5, 2, 2, 5, 5, 4, 4, 7, 8, 7, 8, 8, 8, 10, 11, 10, 6, 7, 7, 7, 9, 10, 10, 10, 9, 5, 6, 6, 6, 8, 9, 9, 9, 8, 2, 2, 5, 4, 4, 5, 2, 2, 3, 3, 4, 5, 5, 6, 6, 6, 4, 3, 3, 7, 6, 6, 7, 4, 4, 5, 5, 8, 7, 7, 8, 8, 8, 6, 5, 5, 9, 8, 8, 11, 12, 11, 13, 13, 11, 15, 15, 14, 15, 14, 15, 14, 9, 10, 9, 6, 6, 7, 7, 10, 9, 9, 10, 8, 7, 7, 11, 11, 11, 10, 11, 7, 7, 8, 8, 8, 8, 12, 12, 12, 11, 12, 6, 6, 9, 9, 8, 8, 11, 12, 11, 13, 13, 11, 15, 15, 14, 15, 14, 15, 14, 9, 10, 9, 6, 6, 7, 7, 10, 9, 9, 10, 8, 7, 7, 11, 11, 10, 10, 13, 14, 13, 15, 15, 13, 17, 17, 16, 17, 16, 17, 16, 11, 12, 11, 7, 7, 8, 8, 8, 8, 12, 12, 11, 12, 6, 6, 7, 7, 10, 9, 9, 10, 8, 7, 7, 11, 11, 10, 10, 13, 14, 13, 15, 15, 13, 17, 17, 16, 17, 16, 17, 16, 11, 12, 11, 7, 7, 8, 8, 8, 8, 12, 12, 11, 12, 6, 6, 7, 7, 10, 9, 9, 10, 8, 7, 7, 11, 11, 10, 10, 13, 14, 13, 15, 15, 13, 17, 17, 16, 17, 16, 17, 16, 11, 12, 11, 7, 7, 8, 8, 8, 8, 12, 12, 11, 12, 6, 6, 7, 7, 10, 9, 9, 10, 10, 8, 7, 7, 11, 10, 10, 13, 14 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 5, 5, 5, 5, 3, 3, 5, 5, 5, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 6, 6, 1, 1, 6, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 2, 2, 1, 0, 7, 7, 7, 7, 0, 2, 1, 2, 7, 7, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 5, 5, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 5, 5, 6, 6, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 5, 5, 10, 10, 1, 1, 1, 2, 2, 2, 1, 10, 10, 0, 0, 0, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 0, 0, 0, 2, 3, 3, 4, 4, 0, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 0, 0, 0, 2, 3, 3, 5, 5, 0, 1, 1, 2, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 5, 5, 4, 4, 4, 4, 0, 0, 0, 2, 3, 3, 6, 6, 0, 1, 1, 2, 2, 1, 6, 6, 0, 0, 0, 0, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 301, 284, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 284, 330, 1517, 950, 2107, 8687, 2188, 284, 330, 7095, 81, 1170, 950, 330, 4573, 25, 203, 111, 203, 24021, 2893, 280, 1524, 203, 1559, 203, 1647, 44, 19123, 500, 81, 11201, 203, 1648, 81, 11043, 44, 225, 36, 32, 43, 203, 4021, 81, 2310, 44, 4784, 8522, 2568, 5414, 432, 676, 107, 2636, 3984, 9241, 32, 203, 2310, 44, 334, 429, 1348, 2297, 38403, 322, 2568, 5414, 544, 676, 107, 2636, 3984, 9241, 32, 334, 429, 1348, 2297, 9567, 26934, 1695, 5414, 432, 40238, 30, 40380, 2414, 30, 284, 676, 16898, 927, 30, 17526, 975, 461, 13662, 394, 12128, 45044, 32, 203, 8886, 44, 334, 429, 27859, 8187, 676, 107, 2636, 225, 35, 32, 35, 32, 42, 308, 292, 374, 378, 547, 334, 429, 1348, 2297, 4847, 623, 3387, 390, 26, 4573, 81, 4538, 547, 2802, 498, 26, 1382, 676, 107, 2636, 6642, 11325, 11024, 30, 877, 4573, 33, 496, 81, 6732, 33, 5134, 81, 13331, 500, 32, 916, 547, 203, 2116, 44, 27857, 917, 1708, 1884, 774, 100, 17862, 107, 11931, 4930, 917, 1708, 85, 27, 203, 2184, 44, 334, 1359, 44, 284, 3048, 44, 886, 3943, 14091, 3488, 32, 284, 827, 44, 1149, 284, 1361, 2184, 44, 397, 636, 44, 291, 3048, 44, 291, 429, 13529, 636, 432, 322, 2568, 30, 484, 32, 89, 32, 18257, 34, 30, 18257, 35, 30, 34333, 34, 30, 354, 5690, 35, 30, 28489, 6874, 36, 32, 291, 827, 44, 596, 291, 2129, 44, 2933, 397, 3048, 44, 291, 3048, 44, 616, 429, 13199, 3048, 32, 291, 827, 44, 596, 397, 21014, 1909, 44, 291, 3048, 44, 616, 429, 13199, 21014, 1909, 2926, 32, 616, 429, 40104, 444, 436, 40238, 14091, 1755, 32, 291, 16682, 44, 2107, 2620, 370, 330, 10894, 370, 330, 2837, 785, 291, 827, 44, 596, 397, 5887, 44, 291, 1244, 44, 2933, 291, 3048, 44, 616, 429, 9128, 8070, 1353, 1603, 432, 322, 2568, 32, 616, 429, 1756, 322, 786, 372, 390, 26, 1508, 27, 372, 22187, 13160, 5352, 324, 322, 2568, 556, 390, 26, 1870, 27, 372, 7378, 561, 32, 291, 827, 44, 1560, 397, 9811, 103, 44, 291, 3048, 44, 616, 429, 12468, 71, 436, 312, 2818, 2568, 32, 17290, 372, 16403, 4333, 436, 2080, 2078, 32, 616, 429, 40104, 444, 436, 40238, 30, 40380, 2414, 30, 676, 16898, 927, 461, 13662, 394, 12128, 14091, 32, 291, 827, 44, 629, 397, 8227, 44, 291, 3048, 44, 616, 429, 13199, 2552, 8227, 32, 616, 429, 40104, 444, 436, 40238, 14091, 1755, 32, 291, 827, 44, 596, 291, 16682, 44, 2107, 2837, 370, 330, 35, 34, 370, 330, 35, 34, 34, 370, 330, 35, 34, 34, 34, 370, 330, 36, 39, 34, 34, 370, 330, 35, 34, 34, 34, 34, 785, 397, 354, 23204, 44, 291, 3048, 44, 616, 429, 13662, 1361, 31, 11201, 5886, 3488, 32, 616, 429, 225, 42 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 886, 53, 40166, 1188, 41038, 41113, 203, 1070, 886, 53, 40166, 1188, 5890, 203, 465, 6436, 619, 2065, 203, 1070, 886, 53, 40166, 1188, 1542, 203, 359, 81, 779, 30, 26862, 30, 554, 81, 11981, 30, 554, 81, 31635, 280, 41038, 41113, 32, 944, 81, 14577, 1691, 4207, 3699, 33, 31355, 28251, 24160, 33, 27305, 33, 2763, 81, 3561, 35, 34, 33, 750, 657, 203, 359, 81, 1172, 280, 41038, 41113, 32, 944, 81, 5919, 4207, 3699, 33, 31355, 28251, 24160, 33, 27305, 33, 2763, 81, 3561, 35, 34, 33, 3576, 81, 5919, 32, 4700, 657, 203, 858, 81, 779, 280, 554, 81, 779, 203, 858, 81, 11981, 280, 554, 81, 11981, 203, 858, 81, 31635, 280, 554, 81, 31635, 203, 3210, 280, 5890, 32, 9395, 26, 13443, 30, 554, 81, 779, 30, 554, 81, 11981, 30, 554, 81, 31635, 30, 554, 81, 1172, 30, 894, 81, 779, 30, 894, 81, 11981, 30, 894, 81, 31635, 27, 203, 3210, 32, 470, 81, 1172, 81, 4243, 4901, 70, 5290, 8643, 10047, 3228, 751, 485, 370, 13198, 9008, 33, 58, 79, 3490, 203, 3210, 32, 19972, 280, 3813, 37, 41, 35, 30, 37, 35, 43, 36, 614, 428, 37, 40, 43, 41, 30, 39, 39, 34, 34, 614, 428, 39, 39, 34, 34, 30, 39, 43, 43, 41, 614, 428, 40, 38, 40, 35, 30, 42, 36, 39, 39, 3212, 203, 32133, 81, 359, 81, 11981, 30, 26600, 81, 359, 81, 31635, 280, 10180, 32, 18037, 378, 81, 12944, 81, 10705, 81, 99, 26, 99, 47, 34, 32, 43, 34, 30, 7715, 81, 5962, 47, 39, 34, 27, 203, 666, 3965, 280, 10180, 32, 2682, 81, 666, 3965, 26, 32133, 81, 359, 81, 11981, 30, 26600, 81, 359, 81, 31635, 30, 33776, 47, 34, 32, 34, 41, 27, 203, 3210, 32, 470, 81, 18037, 378, 26, 666, 3965, 27, 203, 666, 280, 10180, 32, 4698, 81, 18037, 378, 26, 37, 30, 313, 7102, 352, 580, 657, 203, 7927, 81, 359, 81, 11981, 30, 9807, 81, 359, 81, 31635, 30, 9807, 81, 858, 81, 11981, 30, 9807, 81, 858, 81, 31635, 280, 10180, 32, 18037, 378, 81, 12944, 26, 666, 27, 203, 1216, 26, 2356, 32, 6009, 26, 7927, 81, 858, 81, 31635, 490, 203, 3210, 32, 359, 81, 11981, 280, 9807, 81, 359, 81, 11981, 203, 3210, 32, 359, 81, 31635, 280, 9807, 81, 359, 81, 31635, 203, 3210, 32, 858, 81, 11981, 280, 9807, 81, 858, 81, 11981, 203, 3210, 32, 858, 81, 31635, 280, 9807, 81, 858, 81, 31635, 203, 954, 280, 1542, 32, 53, 40166, 1243, 26, 36, 27, 203, 954, 32, 4698, 26, 3210, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 1, 1, 0, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 2, 2, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 2, 2, 4, 5, 4, 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, 4, 4, 5, 5, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 6, 6, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 0, 4, 3, 4, 2, 2, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 3, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 0, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 5, 6, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 4, 0, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 0, 3, 2, 2, 4, 5, 5, 5, 5, 4, 5, 4, 4, 6, 6, 6, 6, 0, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 2, 4, 5, 5, 5, 5, 4, 5, 4, 0, 3, 3, 6, 5, 6, 5, 6, 6, 6, 6, 6, 5, 0, 4, 3, 4, 4, 4, 2, 2, 3, 3, 3, 3, 0, 4, 3, 4, 4, 4, 2, 2, 3, 3, 3, 3, 0, 4, 3, 4, 4, 4, 2, 2, 3, 3, 3, 3, 0, 4, 3, 4, 4, 4, 2, 2, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 5, 5, 4, 5, 4, 0, 4, 3, 4, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 6, 6, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 13, 13, 1, 1, 15, 15, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 5, 3, 3, 3, 3, 5, 2, 1, 1, 1, 1, 7, 3, 3, 3, 3, 7, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 4, 4, 0, 0, 6, 6, 6, 6, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 485, 1229, 449, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 32, 5136, 32, 5136, 1188, 309, 6094, 1588, 100, 203, 20016, 280, 225, 34, 32, 34, 35, 4696, 203, 4683, 81, 20016, 280, 225, 34, 32, 34, 34, 34, 35, 203, 53, 3183, 73, 81, 1023, 927, 280, 225, 35, 4696, 203, 823, 3678, 7751, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 284, 665, 18548, 81, 510, 2446, 675, 307, 81, 2934, 81, 31917, 449, 26, 784, 30, 1695, 81, 6912, 30, 1604, 81, 6912, 30, 8153, 47, 2521, 711, 291, 328, 81, 1439, 81, 6912, 30, 328, 81, 2455, 81, 6912, 280, 630, 32, 11232, 81, 2934, 81, 31917, 449, 26, 1439, 81, 6912, 30, 1604, 81, 6912, 30, 8153, 47, 4068, 27, 291, 1695, 81, 36923, 280, 328, 81, 1439, 81, 6912, 32, 23996, 32, 9381, 34, 7927, 291, 1604, 81, 36923, 280, 328, 81, 2455, 81, 6912, 32, 23996, 32, 9381, 34, 7927, 291, 345, 280, 1604, 81, 36923, 32, 70, 32, 4260, 26, 1439, 81, 36923, 27, 291, 1044, 30, 4950, 354, 280, 2065, 32, 20973, 32, 33497, 26, 95, 27, 291, 556, 29483, 280, 1044, 32, 4260, 26, 104, 27, 291, 1604, 81, 6912, 32, 23996, 32, 9381, 34, 7927, 280, 1604, 81, 6912, 32, 23996, 32, 9381, 34, 280, 308, 2455, 81, 6912, 32, 23996, 32, 9381, 34, 7927, 547, 4260, 26, 6707, 97, 27, 291, 442, 1604, 81, 6912, 284, 665, 20877, 81, 2934, 81, 31917, 449, 26, 784, 30, 345, 35, 30, 345, 36, 30, 8153, 47, 2521, 711, 291, 21283, 81, 95, 35, 280, 739, 26, 95, 35, 32, 23996, 32, 16413, 32, 3494, 1157, 291, 21283, 81, 95, 36, 280, 739, 26, 95, 36, 32, 23996, 32, 16413, 32, 3494, 1157, 291, 4942, 81, 16413, 280, 21283, 81, 95, 35, 24, 16413, 81, 95, 36, 291, 415, 8153, 44, 4942, 81, 16413, 24, 47, 470, 26, 4068, 27, 291, 415, 646, 21283, 81, 95, 35, 31, 2282, 81, 16413, 461, 646, 21283, 81, 95, 36, 31, 2282, 81, 16413, 44, 324, 442, 308, 95, 35, 30, 95, 36, 27, 291, 4942, 81, 16413, 280, 1149, 26, 2282, 81, 16413, 27, 291, 4942, 81, 16413, 32, 3323, 26, 678, 47, 5962, 341, 44, 345, 35, 32, 23996, 32, 16413, 77, 105, 997, 998, 474, 345, 36, 32, 23996, 32, 16413, 77, 105, 997, 998, 30, 9833, 47, 1815, 27, 291, 436, 345, 328, 428, 95, 35, 30, 95, 36, 2786, 324, 10193, 280, 428, 95, 32, 23996, 32, 16413, 77, 105, 997, 1055, 436, 341, 328, 4942, 81, 16413, 79, 324, 3610, 81, 846, 280, 345, 32, 23996, 32, 9381, 34, 7927, 324, 415, 3610, 81, 846, 438, 1665, 44, 400, 3610, 81, 846, 280, 345, 32, 23996, 32, 9381, 34, 324, 537, 81, 846, 280, 2065, 32, 955, 2009, 1455, 81, 846, 77, 1055, 79, 436, 1650, 328, 10193, 1130, 324, 345, 32, 23996, 32, 9381, 34, 7927, 280, 345, 32, 23996, 32, 9381, 34, 280, 537, 81, 846, 324, 345, 32, 23996, 32, 1055, 36, 1112 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 3, 2, 2, 3, 3, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 8, 9, 7, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 8, 9, 7, 8, 8, 8, 4, 4, 6, 6, 10, 10, 9, 10, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 9, 9, 8, 9, 7, 8, 8, 8, 6, 6, 10, 10, 9, 10, 8, 9, 9, 7, 7, 13, 13, 13, 12, 13, 11, 12, 12, 12, 10, 10, 9, 10, 10, 9, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 7, 7, 6, 6, 8, 13, 13, 12, 13, 11, 12, 10, 11, 10, 4, 4, 7, 7, 7, 6, 6, 8, 13, 13, 12, 13, 11, 12, 10, 11, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 7, 8, 8, 8, 8, 4, 4, 5, 5, 5, 9, 9, 8, 8, 10, 10, 11, 10, 4, 4, 5, 7, 9, 9, 9, 8, 9, 9, 9, 6, 6, 7, 9, 9, 9, 8, 9, 9, 9, 5, 5, 5, 7, 9, 9, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 8, 8, 7, 8, 7, 9, 8, 9, 9, 9, 9, 15, 14, 15, 13, 14, 12, 13, 12, 12, 10, 10, 15, 14, 15, 13, 14, 12, 13, 12, 12, 7, 9, 8, 9, 7, 4, 4, 5, 5, 5, 7, 7, 6, 7, 7, 6, 5, 5, 8, 8, 14, 13, 14, 12, 13, 11, 12, 11, 11, 9, 10, 10, 10, 11, 11, 9, 6, 6, 9, 9, 8, 8, 10, 11, 9, 10, 10, 10, 6, 6, 7, 9, 9, 8, 8, 7, 7, 7, 11, 11, 10, 10, 12, 13, 11, 12, 12, 6, 6, 9, 9, 8, 8, 10, 11, 10, 13, 13, 13, 12, 13, 12, 11, 12, 12, 12, 11, 6, 6, 10, 11, 9, 10, 10, 10, 8, 8, 11, 12, 10, 11, 11, 9, 9, 10, 10, 6, 6, 10, 11, 9, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 6, 6, 1, 6, 6, 6, 0, 1, 1, 1, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 4, 4, 7, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 4, 4, 4, 0, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 3, 2, 1, 4, 4, 7, 7, 7, 1, 1, 3, 3, 3, 3, 7, 7, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 5, 5, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 5, 5, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 0, 2, 2, 2 ]
[ 505, 13411, 505, 280, 9602, 3539, 505, 1156, 41987, 505, 1156, 5241, 505, 1156, 852, 37067, 3687, 505, 20, 203, 465, 2322, 32, 983, 203, 465, 802, 203, 465, 2108, 69, 8407, 203, 858, 280, 2108, 69, 8407, 32, 1006, 69, 8407, 346, 203, 858, 32, 1821, 463, 69, 13614, 370, 1524, 78, 203, 589, 1933, 26, 1855, 30, 1760, 711, 284, 2156, 26, 1977, 30, 313, 12108, 1895, 1821, 26, 1676, 26, 1855, 30, 313, 4506, 1895, 850, 1157, 203, 589, 1968, 26, 2121, 30, 1914, 30, 1760, 711, 284, 1933, 26, 466, 26, 1855, 77, 34, 5727, 596, 26, 1977, 77, 34, 5259, 284, 415, 1760, 77, 34, 997, 2671, 81, 16423, 44, 291, 5209, 81, 7469, 280, 2156, 26, 466, 26, 1977, 77, 34, 997, 2671, 81, 16423, 77, 34, 5727, 313, 360, 657, 291, 5209, 81, 7469, 32, 1821, 463, 1784, 101, 967, 12846, 101, 1736, 96, 25, 1784, 26, 466, 26, 1855, 77, 34, 5727, 596, 26, 1977, 77, 34, 25200, 203, 3313, 280, 7958, 26, 1141, 47, 1832, 27, 203, 2121, 280, 10572, 26, 43899, 69, 12516, 3313, 950, 3313, 835, 10534, 3197, 1057, 43322, 683, 203, 2121, 32, 3313, 463, 3986, 32, 541, 370, 330, 3986, 32, 266, 683, 203, 2121, 32, 3313, 463, 1632, 32, 541, 370, 330, 1632, 32, 266, 683, 203, 2121, 32, 3313, 463, 1551, 269, 32, 541, 370, 330, 1551, 269, 32, 266, 683, 203, 7427, 5559, 463, 751, 32, 2760, 370, 2107, 3986, 32, 541, 370, 330, 1632, 32, 541, 370, 330, 1551, 269, 32, 541, 3490, 203, 2121, 32, 3313, 463, 751, 32, 541, 370, 330, 751, 32, 2760, 683, 203, 2121, 32, 3313, 463, 43322, 33, 12448, 32, 541, 370, 330, 12448, 32, 266, 683, 203, 2121, 32, 7427, 5559, 26, 100, 21735, 101, 370, 2107, 1551, 269, 32, 541, 370, 540, 21735, 101, 3490, 203, 2121, 32, 3313, 463, 43322, 33, 541, 32, 541, 370, 330, 43322, 33, 541, 32, 2760, 683, 203, 2993, 904, 308, 500, 32, 983, 32, 2524, 24542, 7100, 3197, 370, 330, 541, 32, 2760, 1425, 1568, 2322, 32, 983, 32, 2524, 24542, 7100, 3197, 370, 330, 12448, 32, 541, 21180, 203, 858, 32, 1821, 463, 3986, 32, 266, 370, 330, 3986, 32, 266, 78, 96, 683, 203, 858, 32, 1821, 463, 1632, 32, 266, 370, 330, 1632, 32, 266, 78, 96, 683, 203, 858, 32, 1821, 463, 1551, 269, 32, 266, 370, 330, 1551, 269, 32, 266, 78, 96, 683, 203, 858, 32, 1821, 463, 12448, 32, 266, 370, 330, 12448, 32, 266, 78, 96, 683, 203, 858, 32, 1945, 26, 8299, 280, 330, 3986, 32, 541, 5697, 32, 541, 370, 12532, 47, 858, 32, 4071, 81, 9362, 27265, 78, 203, 1832, 14141, 3986, 32, 541, 3439, 3037, 3986, 32, 266, 6890, 203, 1832, 14141, 1632, 32, 541, 3439, 3037, 1632, 32, 266, 6890, 203, 1010, 2131, 203, 2358, 280, 1524, 78, 203, 3986, 32, 266, 967, 9214, 32, 541, 203, 1632, 32, 266, 967, 5697, 32, 541, 203, 2993, 203, 858, 32, 12172, 81, 2872, 463, 751, 32, 2760, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 3, 2, 2, 5, 5, 4, 5, 5, 5, 4, 0, 4, 3, 4, 3, 5, 5, 5, 3, 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, 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, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 9, 8, 9, 7, 8, 7, 9, 9, 9, 7, 9, 9, 9, 9, 5, 5, 8, 9, 7, 8, 7, 9, 9, 9, 7, 9, 9, 9, 9, 0, 4, 3, 4, 3, 5, 5, 5, 5, 3, 5, 5, 5, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 3, 5, 5, 5, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 3, 5, 5, 5, 6, 6, 5, 0, 4, 3, 4, 3, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 3, 4, 7, 6, 7, 7, 7, 6, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 3, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 0, 2, 2, 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, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2 ]
[ 465, 1770, 30148, 203, 9592, 41652, 7973, 5046, 40535, 2553, 3852, 13901, 18859, 1520, 34810, 3696, 4877, 18473, 35177, 225, 5881, 203, 589, 1459, 2007, 22955, 26, 800, 30, 18146, 711, 203, 202, 3607, 280, 18146, 203, 202, 21, 2648, 312, 803, 1300, 44, 203, 202, 21, 328, 313, 105, 26, 88, 5950, 1169, 322, 5430, 821, 5049, 44, 203, 202, 21, 35454, 2866, 3026, 1591, 18002, 26, 97, 761, 30, 802, 711, 334, 1596, 44, 284, 296, 7015, 280, 2156, 26, 97, 761, 30, 313, 105, 657, 284, 1596, 44, 397, 296, 7015, 32, 1821, 26, 800, 27, 588, 5950, 312, 802, 372, 312, 803, 284, 296, 225, 2940, 45338, 44, 284, 1459, 330, 1821, 1048, 25, 203, 9592, 19409, 20134, 6479, 6632, 40535, 1266, 28365, 21116, 3852, 48253, 10689, 5881, 203, 589, 803, 14924, 26, 10555, 30, 328, 720, 711, 284, 802, 280, 1665, 284, 1596, 44, 397, 296, 280, 2156, 26, 10555, 30, 313, 100, 657, 397, 1596, 44, 291, 588, 4841, 322, 9449, 7299, 432, 312, 803, 821, 5049, 32, 291, 2218, 262, 415, 26, 800, 610, 330, 7831, 324, 1626, 616, 802, 280, 802, 32, 3227, 26, 3228, 96, 370, 4247, 829, 616, 328, 720, 32, 1689, 26, 800, 27, 291, 588, 12229, 33685, 39796, 7967, 42168, 35178, 3514, 1039, 397, 8295, 44, 291, 296, 32, 6749, 101, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 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, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 5, 4, 4, 4, 5, 5, 5, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 5, 7, 7, 7, 8, 7, 3, 3, 3, 4, 4, 9, 9, 9, 9, 8, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 6, 6, 6, 3, 3, 3, 4, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 1, 4, 4, 4, 4, 1, 1, 1, 7, 8, 8, 9, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 8, 10, 9, 9, 11, 8, 6, 6, 6, 8, 5, 5, 5, 8, 8, 7, 7, 10, 10, 10, 9, 11, 9, 5, 5, 5, 9, 8, 9, 9, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 0, 0, 0, 0, 2, 2, 2, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 5, 5, 5, 6, 1, 6, 3, 3, 3, 3, 0, 0, 2, 2, 3, 3, 3, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 3, 3, 3, 0, 0, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5192, 6156, 2994, 17730, 20895, 935, 51, 22764, 1077, 5622, 11329, 10146, 9133, 241, 1121, 5622, 11329, 10146, 9133, 241, 1077, 2554, 4475, 935, 51, 10146, 9133, 241, 31514, 1121, 203, 42005, 4475, 6046, 25186, 28091, 48874, 9963, 5622, 11329, 1448, 203, 9592, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 1070, 13625, 1188, 33953, 203, 1070, 31074, 1188, 4054, 203, 465, 43008, 203, 465, 1933, 203, 465, 298, 2209, 6634, 203, 465, 12643, 619, 6121, 203, 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 354, 17632, 32, 8358, 1188, 32081, 1486, 30, 32081, 2059, 30, 49058, 203, 21, 16985, 17063, 3939, 277, 36562, 8978, 44537, 21587, 11757, 27016, 9740, 203, 1270, 44, 284, 1188, 44360, 619, 29644, 351, 284, 29644, 32, 470, 81, 1621, 463, 4894, 89, 344, 820, 32, 10093, 4455, 1188, 3649, 7085, 203, 1070, 354, 17632, 32, 359, 820, 32, 10093, 959, 1188, 676, 102, 10400, 750, 30, 676, 102, 2900, 750, 203, 1070, 354, 17632, 32, 359, 820, 32, 10093, 5465, 1188, 319, 203, 1070, 354, 17632, 32, 359, 820, 32, 10093, 10839, 1188, 676, 102, 2871, 750, 30, 676, 102, 16745, 750, 203, 1070, 638, 41259, 1761, 1188, 319, 203, 20010, 203, 823, 7587, 4266, 3711, 26, 1473, 711, 284, 1524, 203, 61, 81, 4959, 280, 330, 10727, 25, 284, 45507, 81, 4959, 280, 330, 1632, 25, 664, 588, 225, 25827, 36521, 6406, 291, 630, 32, 4048, 2871, 1534, 280, 225, 34, 262, 588, 225, 36630, 8865, 2351, 3087, 101, 6843, 36521, 6406, 46805, 30, 1202, 3382, 4048, 2871, 779, 1121, 853, 3382, 15504, 784, 32, 4048, 2033, 588, 225, 36521, 6406, 15069, 116, 27402, 5044, 22060, 9684, 5192, 46805, 2994, 11742, 291, 309, 630, 32, 3483, 620, 610, 1665, 351, 588, 225, 5622, 11329, 33097, 291, 630, 32, 2816, 280, 630, 24372, 280, 4247, 291, 630, 32, 1664, 11946, 280, 225, 34, 262, 18926, 280, 225, 35, 34, 34, 34, 34, 34, 34, 647, 588, 225, 5622, 11329, 43716, 12166, 8313, 5192, 15479, 5173, 11800, 35, 34, 34, 25050, 5090, 291, 630, 32, 101, 374, 593, 481, 1077, 46605, 5851, 291, 630, 32, 3306, 280, 225, 34, 3389, 588, 225, 5622, 11329, 3603, 27478, 15479, 5090, 291, 630, 32, 891, 280, 225, 35, 2407, 638, 4415, 10400, 280, 225, 34, 2033, 588, 225, 40874, 31946, 9149, 5935, 4456, 630, 32, 1199, 1486, 280, 1665, 351, 588, 225, 17670, 23055, 291, 630, 32, 1199, 7417, 280, 1665, 351, 588, 225, 17670, 35920, 664, 225, 9826, 291, 630, 32, 1664, 750, 280, 1605, 225, 630, 32, 47825, 280, 4247, 1468, 588, 225, 5622, 11329, 17670, 630, 32, 605, 22685, 280, 1665, 958, 588, 225, 5622, 11329, 605, 27274, 280, 1665, 263, 588, 225, 5622, 11329, 4839, 24986, 24804, 4154, 32, 13987, 22685, 280, 1665, 261, 588, 225, 33097, 22111, 24804, 5173, 12874, 5611, 6273, 18951, 34081, 630, 32, 3248, 2871, 1534, 280, 262, 588, 225, 10964, 17354, 6406, 36630, 291, 630, 32, 3248, 2871 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 4, 2, 2, 3, 1, 1, 1, 1, 1, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 2, 2, 3, 3, 1, 2, 1, 1, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 6, 6, 6, 4, 5, 2, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 7, 7, 7, 6, 6, 6, 5, 5, 3, 4, 4, 4, 3, 6, 6, 7, 6, 7, 3, 3, 1, 3, 0, 3, 4, 4, 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, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 0, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 8, 8, 0, 0, 0, 9, 0, 1, 1, 2, 10, 10, 11, 11, 11, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 12, 1, 12, 12, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 6, 6, 1, 3, 3, 3, 1, 0, 0, 0, 1, 1, 0, 0, 17, 0, 0, 0, 0, 0, 18, 18, 0, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 0, 0, 0, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 1, 1, 22, 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 ]
[ 9592, 4201, 894, 3079, 436, 546, 4734, 1893, 35603, 2297, 5881, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2361, 203, 465, 13092, 203, 1070, 9991, 32, 8524, 1188, 15798, 203, 1070, 9991, 32, 8524, 32, 3613, 1188, 7841, 30, 7502, 203, 1070, 28520, 32, 1647, 81, 2304, 1188, 6550, 203, 1070, 28520, 32, 1647, 81, 2304, 1114, 878, 1188, 372, 81, 3651, 203, 465, 28520, 32, 1647, 81, 2304, 32, 42427, 619, 3706, 725, 81, 2304, 203, 1070, 28520, 32, 3477, 32, 4219, 32, 42427, 32, 3258, 81, 388, 368, 81, 1358, 81, 6038, 81, 5275, 766, 284, 1188, 10860, 1290, 388, 368, 6166, 3842, 619, 7231, 81, 5275, 261, 203, 325, 646, 3706, 725, 81, 2304, 32, 2040, 81, 42427, 81, 1356, 2262, 284, 13092, 1826, 280, 13092, 32, 1826, 32, 5961, 463, 1990, 7902, 619, 5816, 2129, 3706, 725, 81, 1356, 683, 203, 589, 739, 81, 1647, 81, 1132, 26, 1132, 711, 284, 2181, 280, 2361, 32, 16958, 14178, 37632, 14507, 81, 9856, 81, 12896, 950, 2181, 1748, 284, 6550, 1114, 37632, 14507, 81, 12896, 280, 372, 81, 3651, 26, 1132, 27, 261, 203, 823, 35603, 8112, 2526, 26, 984, 711, 284, 3097, 203, 823, 35603, 4976, 2526, 26, 984, 711, 284, 3097, 203, 589, 4323, 81, 1260, 2740, 1132, 30, 1115, 5321, 711, 10065, 415, 330, 8968, 25, 646, 328, 10306, 44, 291, 10306, 710, 8968, 785, 280, 3177, 284, 3636, 35603, 8112, 2526, 26, 5321, 27, 203, 589, 3547, 81, 1260, 2740, 1132, 30, 1115, 5321, 711, 10065, 10306, 710, 7815, 785, 280, 2933, 284, 3636, 35603, 4976, 2526, 26, 5321, 27, 203, 823, 7502, 4824, 1893, 2798, 26, 1473, 711, 284, 5881, 4395, 2145, 3387, 372, 546, 4734, 1893, 3408, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 6186, 47, 2521, 30, 706, 47, 2521, 711, 291, 5881, 4131, 4209, 5881, 291, 630, 32, 5462, 280, 6186, 291, 630, 32, 605, 280, 706, 291, 630, 32, 2593, 81, 266, 280, 1665, 291, 630, 32, 2593, 81, 541, 280, 1665, 284, 665, 11319, 81, 43357, 26, 784, 30, 5592, 30, 5352, 81, 25169, 299, 711, 16189, 5881, 4395, 11319, 81, 43357, 14116, 5592, 706, 5881, 291, 630, 32, 2593, 81, 266, 280, 5592, 291, 415, 630, 32, 5462, 610, 330, 5275, 950, 324, 5592, 280, 630, 32, 1832, 81, 6038, 81, 5275, 26, 784, 32, 605, 27, 291, 415, 630, 32, 5462, 610, 330, 7004, 950, 324, 5592, 280, 630, 32, 1832, 81, 6038, 81, 5275, 26, 784, 32, 605, 30, 4609, 47, 1815, 27, 291, 415, 630, 32, 5462, 610, 330, 6038, 950, 324, 5592, 280, 630, 32, 1832, 81, 6038, 346, 291, 630, 32, 2593, 81, 541, 280, 5592, 291, 442, 5592, 284, 477, 16099, 284, 665, 1968, 81, 6038, 81, 5275, 26, 6038, 30, 4609, 47, 2700, 711, 291, 5881, 1968, 5592, 706, 436, 8480, 483, 265, 31, 1338, 5881, 291, 5592, 280, 3706, 725, 81, 2304, 32, 108, 1237, 32, 20329, 1308, 463, 2593, 683, 291, 5414, 280, 5053, 5843, 31, 668, 950, 301, 324, 330, 1358, 31, 5275, 31 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 4, 4, 4, 3, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 1, 1, 4, 4, 4, 4, 4, 2, 2, 3, 3, 0, 0, 1, 1, 2, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 1, 1, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 10, 10, 10, 10, 10, 10, 10, 8, 7, 2, 2, 5, 6, 6, 6, 6, 4, 4, 6, 6, 6, 7, 6, 0, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 6, 6, 4, 4, 4, 3, 3, 3, 7, 9, 9, 6, 6, 2, 2, 3, 5, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 5, 7, 7, 4, 4, 2, 2, 3, 5, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 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, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 8, 8, 10, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 8, 8, 10, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 8, 8, 10, 11, 11, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 11, 11, 11, 10, 11, 11, 9, 10, 10, 9, 11, 11, 5, 5, 7, 7, 11, 11, 11, 11, 9, 10, 10, 13, 13, 13, 13 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 5, 5, 0, 6, 6, 1, 2, 2, 2, 6, 6, 0, 7, 7, 1, 2, 2, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 0, 2, 2, 2, 0, 4, 1, 1, 2, 2, 2, 0, 9, 9, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 2, 9, 9, 0, 0, 0, 0, 0, 4, 4, 2, 2, 0, 0, 10, 10, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 10, 10, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 14, 14, 1, 1, 2, 1, 2, 2, 1, 2, 14, 14, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 0, 15, 15, 1, 1, 2, 1, 2, 2, 1, 2, 15, 15, 0, 1, 2, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 0, 16, 16, 1, 1, 1, 2, 1, 2, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 1, 1, 1, 1, 1, 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, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 0, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 6, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 34, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 337, 18321, 81, 96, 1316, 81, 37261, 203, 4021, 81, 2310, 44, 19810, 44052, 2625, 1591, 556, 1829, 337, 35943, 33, 68, 21057, 3501, 6652, 3984, 14091, 203, 2116, 44, 313, 65, 1442, 1691, 488, 867, 560, 93, 11931, 31982, 560, 93, 6257, 1691, 4731, 203, 1648, 81, 11043, 44, 313, 36, 32, 37, 20, 203, 2310, 44, 284, 429, 313, 23109, 44052, 2625, 1591, 556, 1829, 337, 35943, 33, 68, 21057, 3501, 6652, 3984, 14091, 3107, 203, 8886, 44, 284, 429, 313, 2272, 2297, 9585, 312, 537, 2663, 31, 2649, 390, 26, 42336, 81, 96, 1316, 27, 8434, 30, 1510, 1568, 4304, 312, 1149, 432, 489, 1102, 101, 3107, 203, 2184, 44, 284, 8508, 44, 291, 3048, 44, 324, 429, 313, 558, 432, 322, 8551, 2154, 489, 1102, 438, 13076, 3107, 291, 2129, 44, 861, 284, 636, 44, 291, 3048, 44, 324, 429, 313, 558, 432, 322, 489, 1102, 30, 883, 526, 1654, 619, 12460, 6101, 3107, 203, 9971, 81, 10270, 81, 9854, 44, 337, 18321, 81, 37261, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 15950, 2800, 1330, 4799, 3796, 3395, 436, 45282, 30, 203, 21, 2779, 821, 337, 18321, 81, 2393, 2297, 372, 2318, 2624, 372, 23261, 9156, 44, 203, 21, 570, 3790, 44052, 2625, 1169, 489, 1102, 101, 1510, 4467, 1477, 623, 390, 26, 9968, 27, 436, 8551, 8189, 390, 26, 32876, 41, 711, 203, 31, 337, 18321, 81, 96, 1316, 81, 37261, 44, 284, 8508, 44, 9334, 500, 41, 284, 636, 44, 18257, 28, 203, 31, 4588, 44, 284, 773, 44, 337, 18321, 81, 96, 1316, 203, 9592, 203, 10934, 280, 5881, 203, 42336, 81, 96, 1316, 44, 284, 3048, 44, 313, 720, 432, 39290, 22376, 322, 3984, 14091, 32, 489, 1102, 821, 2754, 700, 307, 884, 14740, 372, 9473, 5036, 30, 1750, 1169, 489, 1102, 101, 5414, 883, 526, 2431, 821, 2412, 1984, 44, 1913, 555, 42336, 32, 933, 32, 716, 33, 42336, 31, 3483, 31, 1237, 31, 1160, 33, 2590, 7238, 2516, 33, 16000, 3107, 284, 4717, 44, 2704, 3117, 32, 284, 827, 44, 1149, 203, 9592, 203, 465, 2771, 2872, 203, 465, 27374, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 6390, 1188, 35603, 2459, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 42336, 1188, 308, 284, 1505, 81, 4968, 30, 284, 1487, 81, 3841, 30, 284, 622, 81, 2665, 81, 1028, 81, 1167, 30, 284, 337, 18321, 81, 37261, 81, 2620, 81, 2669, 81, 2285, 30, 284, 3233, 81, 1170, 81, 426, 30, 203, 27, 203, 589, 2575, 2262, 284, 2793, 81, 2285, 280, 337, 18321, 81, 37261, 81, 2620, 81, 2669, 81, 2285, 26, 291, 8508, 47, 2665, 26, 3648, 47, 1815, 471, 291, 636, 47, 2665, 26, 1536, 47, 2521, 471, 284, 829, 284, 2297, 280, 35603, 2459, 26, 2669, 81, 2285, 27, 284, 1505, 81, 4968, 26, 1647 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 9, 9, 11, 10, 11, 9, 6, 6, 7, 9, 9, 11, 10, 11, 9, 6, 6, 2, 2, 4, 4, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 6 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 1, 2, 2, 2, 1, 4, 6, 6, 0, 0, 7, 7, 1, 2, 2, 2, 1, 4, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 8, 8, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 3, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1 ]
[ 465, 2676, 7128, 203, 1070, 1133, 1188, 9368, 203, 1070, 2322, 1188, 16277, 203, 465, 5167, 203, 3164, 81, 314, 280, 16277, 32, 371, 463, 65, 37, 40, 39, 81, 6870, 81, 779, 683, 203, 7241, 280, 16277, 32, 371, 463, 65, 37, 40, 39, 81, 6870, 81, 17252, 683, 203, 15213, 81, 314, 280, 16277, 32, 371, 463, 65, 37, 40, 39, 81, 6870, 81, 32986, 4516, 81, 779, 683, 203, 5078, 280, 5053, 1777, 31, 681, 950, 330, 3164, 33, 1260, 6040, 203, 6263, 280, 5053, 21115, 81, 681, 950, 330, 1580, 81, 12623, 370, 2607, 330, 1580, 81, 314, 950, 3022, 81, 314, 30, 2607, 330, 1580, 81, 7241, 950, 9313, 30, 2607, 330, 3473, 950, 330, 641, 555, 2255, 32, 3785, 32, 508, 4724, 1536, 6040, 203, 3615, 81, 965, 280, 330, 641, 555, 3615, 32, 3785, 11788, 32, 508, 46052, 10772, 36, 33, 104, 36, 32, 34, 33, 1956, 2473, 1643, 26, 15213, 81, 314, 27, 203, 589, 3909, 26, 15213, 81, 314, 30, 3022, 81, 314, 711, 284, 2676, 7128, 32, 1676, 81, 890, 81, 3007, 440, 641, 555, 3615, 32, 3785, 11788, 32, 508, 46052, 2300, 32971, 49, 1580, 81, 314, 1279, 16466, 1293, 47, 35, 36, 37, 38, 39, 24, 7344, 81, 3423, 47, 525, 555, 5007, 44, 39, 34, 34, 34, 33, 2393, 2296, 1643, 26, 291, 17086, 81, 314, 30, 3022, 81, 314, 490, 203, 100, 280, 5167, 32, 1526, 26, 3615, 81, 965, 30, 706, 47, 6263, 27, 203, 1986, 280, 540, 32, 1260, 346, 203, 1956, 280, 1789, 710, 3560, 81, 1956, 785, 203, 100, 280, 5167, 32, 371, 463, 641, 555, 2255, 32, 3785, 32, 508, 33, 104, 35, 32, 34, 33, 289, 370, 4826, 12516, 8466, 950, 330, 16480, 19553, 1643, 26, 1956, 25952, 203, 1216, 540, 32, 878, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 5, 5, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 5, 4, 5, 5, 5, 4, 0, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 6, 5, 6, 6, 6, 6, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 8, 8, 7, 7, 8, 8, 7, 0, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 4, 5, 6, 4, 0, 3, 2, 2, 4, 5, 4, 0, 3, 2, 2, 3, 5, 5, 5, 5, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 9, 9, 7, 11, 11, 10, 9, 10, 9, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 10, 10, 2, 1, 1, 1, 2, 2, 3, 3, 2, 10, 10, 0, 0, 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, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 15, 15, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 595, 4535, 25730, 81, 23221, 81, 15934, 32, 4275, 1188, 4600, 13904, 55, 31779, 265, 924, 203, 3908, 81, 44574, 81, 8037, 280, 313, 4282, 1849, 372, 2684, 458, 1411, 328, 312, 22948, 20, 203, 823, 33757, 1337, 6873, 924, 26, 2027, 13904, 55, 31779, 265, 924, 711, 284, 3097, 203, 823, 2484, 63, 10564, 1761, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1359, 47, 2521, 711, 291, 630, 1114, 1163, 280, 1359, 556, 2149, 291, 630, 1114, 41823, 280, 1605, 284, 477, 2433, 284, 665, 354, 874, 26, 784, 711, 291, 415, 646, 630, 1114, 41823, 44, 324, 3636, 33757, 1337, 6873, 924, 440, 2023, 33757, 4528, 24062, 318, 6305, 657, 291, 813, 44, 324, 442, 630, 1114, 41823, 284, 665, 24062, 81, 5379, 26, 784, 30, 8508, 81, 998, 711, 291, 3636, 22210, 26, 3908, 81, 44574, 81, 8037, 27, 284, 665, 3066, 81, 5379, 26, 784, 711, 291, 3636, 22210, 26, 3908, 81, 44574, 81, 8037, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 8, 9, 6, 6, 6, 8, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 7, 7, 9, 10, 11, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 1070, 24379, 32, 1733, 32, 978, 37, 8524, 1188, 323, 9918, 203, 1070, 24379, 32, 23199, 1188, 551, 741, 13026, 203, 858, 81, 605, 280, 428, 284, 2726, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 370, 330, 38, 2312, 43, 43, 41, 38, 39, 40, 35, 43, 42, 583, 41, 42, 370, 330, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 1425, 284, 2726, 47524, 370, 330, 39, 35, 42, 40, 40, 2995, 39, 84, 42, 39, 31479, 42, 83, 370, 330, 47524, 1425, 284, 2726, 35, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 370, 330, 41, 86, 42, 39, 40, 88, 43, 83, 40, 35, 37, 34, 40, 37, 88, 36, 370, 330, 37, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 1425, 284, 2726, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 370, 330, 36, 38, 40, 40, 583, 42, 41, 42, 84, 43, 40, 37, 85, 43, 86, 370, 330, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 1425, 284, 2726, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 370, 330, 40, 35, 88, 43, 85, 37, 42, 34, 36, 36, 42, 35, 84, 34, 43, 40, 370, 330, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 25870, 1425, 284, 2726, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 25870, 370, 330, 41, 86, 34, 1152, 40, 37, 34, 1549, 1804, 35, 735, 41, 370, 330, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 1425, 284, 2726, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 370, 330, 38, 2312, 43, 43, 41, 38, 39, 40, 35, 43, 42, 583, 41, 42, 370, 330, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 1425, 284, 2726, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 25870, 370, 330, 34, 560, 360, 34, 3499, 40, 83, 34, 83, 36, 42, 86, 370, 330, 10930, 35285, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 1425, 284, 2726, 34, 35, 83, 35, 86, 40, 86, 34, 37, 43, 41, 41, 40, 41, 38, 36, 370, 330, 39, 43, 85, 40, 42, 36, 38, 39, 872, 34, 39, 36, 42, 36, 84, 370, 330, 41, 1173, 35, 35, 34, 38, 39, 38, 83, 35, 83, 40, 87, 39, 41, 1425, 284, 2726, 39, 2087, 39, 38, 1173, 42, 37, 589, 39, 41, 1804, 370, 330, 84, 35, 84, 42, 1152, 34, 84, 36, 39, 34, 88, 34, 43, 83, 34, 370, 330, 34, 35, 37, 35, 86, 43, 40, 35, 43, 3455, 35, 37, 41, 40, 87, 1425, 284, 2726, 34, 36, 38, 42, 86 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1 ]
[ 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 858, 32, 1580, 1188, 5675, 203, 1070, 8527, 32, 2304, 1188, 4281, 1260, 619, 2361, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 12023, 32, 1286, 2516, 32, 3378, 1188, 38718, 203, 1070, 1894, 267, 81, 35967, 32, 3378, 1188, 47803, 13816, 203, 465, 3226, 267, 402, 32, 8212, 32, 3378, 203, 1070, 3226, 267, 402, 32, 8216, 32, 3378, 1188, 15200, 203, 1070, 3226, 267, 402, 32, 8212, 32, 3378, 1188, 3516, 203, 1070, 3226, 267, 402, 32, 2304, 1188, 1244, 81, 1110, 81, 1163, 203, 1070, 3226, 267, 402, 32, 1903, 32, 22962, 81, 1903, 81, 858, 81, 605, 1188, 1487, 81, 3378, 203, 1070, 3226, 267, 402, 32, 8212, 32, 22962, 81, 1110, 8216, 1188, 1487, 81, 1110, 8216, 203, 823, 23301, 1006, 26, 7233, 711, 284, 37743, 280, 2107, 4332, 81, 605, 32, 1260, 370, 330, 23239, 1170, 785, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 496, 280, 330, 2300, 25, 291, 630, 32, 28862, 280, 330, 2300, 25, 291, 1487, 81, 3378, 26, 681, 1057, 1110, 683, 291, 1487, 81, 3378, 26, 681, 1057, 1823, 683, 291, 1487, 81, 1110, 8216, 346, 284, 1244, 81, 9436, 280, 313, 2272, 438, 312, 15433, 367, 432, 16281, 1212, 30, 600, 3022, 766, 203, 979, 48577, 2920, 461, 27569, 2676, 4122, 14274, 32, 225, 9723, 7165, 11583, 372, 322, 1992, 30, 766, 203, 539, 322, 9875, 3516, 3454, 3684, 372, 21141, 1370, 1992, 372, 322, 16281, 1212, 766, 203, 11863, 3107, 284, 1244, 81, 1311, 280, 313, 10632, 1212, 4101, 3516, 20, 284, 23952, 81, 1163, 280, 1524, 284, 301, 397, 313, 1536, 2028, 620, 563, 313, 19471, 81, 13851, 422, 703, 392, 397, 313, 7468, 563, 301, 616, 313, 1311, 563, 313, 3173, 392, 616, 313, 9436, 563, 313, 5584, 20, 397, 801, 397, 313, 11250, 563, 301, 291, 313, 3625, 1691, 563, 301, 616, 313, 965, 2510, 525, 555, 5007, 44, 42, 34, 42, 34, 33, 300, 7776, 424, 33, 105, 874, 20, 291, 320, 397, 801, 397, 313, 1110, 563, 301, 291, 313, 9886, 2510, 34759, 44, 43, 34, 34, 43, 35, 37, 392, 291, 313, 9660, 2510, 95, 392, 291, 313, 1449, 13288, 563, 35, 39, 40, 39, 38, 37, 32, 34, 37, 37, 43, 30, 291, 313, 1449, 18707, 563, 6448, 36, 34, 34, 37, 41, 39, 34, 42, 32, 37, 38, 5437, 36, 34, 34, 37, 41, 39, 34, 42, 32, 37, 38, 30, 36, 34, 34, 37, 41, 39, 34, 42, 32, 37, 38, 30, 36, 34, 34, 37, 41, 39, 34, 42, 32, 37, 38, 614, 291, 313, 2390, 563, 6448, 43, 38, 36, 42, 41, 40, 34, 32, 42, 40, 42, 42, 41, 41, 42, 30, 35, 38, 37, 40, 42, 43, 35, 32, 42, 43, 41, 36, 39, 42, 35, 614, 291, 313, 8216, 563, 8653, 616, 313, 1855, 2510, 3625, 1691, 392, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 0, 1, 1, 3, 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, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 7, 7, 9, 8, 10, 10, 4, 4, 7, 7, 7, 9, 8, 10, 10, 4, 4, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 3, 3, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 6, 6, 1, 2, 1, 4, 4, 1, 6, 6, 6, 0, 7, 7, 0, 0, 0, 1, 2, 7, 7, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 0, 9, 9, 0, 0, 1, 2, 1, 4, 9, 9, 0, 10, 10, 0, 0, 1, 2, 1, 4, 10, 10, 0, 11, 11, 0, 0, 1, 2, 11, 11, 0, 0, 0, 0, 0, 12, 12, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 12, 12, 0, 0, 0, 13, 13, 0, 0, 1, 2, 1, 4, 4, 4, 4, 13, 13, 0, 0, 0, 0, 14, 14, 1, 2, 1, 2, 14, 14, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 5741, 203, 465, 298, 2209, 6634, 203, 1070, 298, 2209, 6634, 1188, 14910, 1486, 203, 1070, 298, 2209, 6634, 32, 4275, 1188, 4354, 16396, 924, 203, 1070, 4562, 32, 11514, 1188, 3772, 10564, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 14910, 10564, 26, 1761, 10564, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 2599, 26, 16396, 10564, 30, 630, 14585, 1664, 3207, 326, 5321, 27, 291, 3408, 280, 10306, 32, 371, 463, 2035, 370, 330, 5007, 683, 291, 2601, 280, 10306, 32, 371, 463, 625, 370, 225, 36, 41, 34, 35, 41, 27, 291, 1256, 280, 10306, 32, 371, 463, 496, 370, 9142, 291, 3882, 280, 10306, 32, 371, 463, 2895, 370, 9142, 291, 3082, 81, 426, 280, 10306, 32, 371, 463, 4603, 370, 330, 4390, 683, 291, 4491, 81, 426, 280, 10306, 32, 371, 463, 4170, 370, 330, 5057, 683, 291, 6717, 280, 10306, 32, 371, 463, 7615, 370, 12797, 291, 6717, 710, 105, 785, 280, 6717, 32, 371, 463, 105, 370, 225, 34, 27, 291, 6717, 710, 10185, 81, 32811, 785, 280, 6717, 32, 371, 463, 10185, 81, 32811, 370, 2933, 27, 291, 630, 32, 3841, 280, 14910, 1486, 26, 324, 3408, 47, 2035, 30, 324, 2601, 47, 625, 30, 324, 1115, 7615, 291, 829, 291, 3500, 280, 630, 32, 3841, 77, 1199, 81, 426, 79, 291, 415, 1256, 556, 3882, 44, 324, 3500, 32, 22053, 26, 496, 30, 3882, 27, 291, 630, 32, 4170, 280, 3500, 77, 4170, 81, 426, 79, 291, 630, 1114, 1297, 81, 18713, 346, 284, 665, 617, 1297, 81, 18713, 26, 784, 711, 291, 630, 32, 4170, 32, 12830, 81, 1055, 2009, 463, 1003, 370, 298, 2209, 6634, 32, 12344, 38857, 14829, 291, 630, 32, 4170, 32, 12830, 81, 1055, 463, 1567, 81, 681, 683, 284, 665, 3240, 26, 784, 30, 1692, 711, 291, 1596, 44, 324, 630, 32, 4170, 32, 3215, 26, 1567, 30, 36449, 47, 2700, 27, 291, 2940, 4354, 16396, 924, 44, 324, 3124, 280, 330, 924, 40034, 372, 22717, 1692, 16720, 9161, 25, 324, 1245, 32, 3893, 26, 2076, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 9, 7, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 8, 10, 10, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 4, 4, 7, 9, 9, 6, 6, 8, 9, 8, 10, 10, 8, 9, 8, 4, 4, 7, 9, 9, 9, 9, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 10, 8, 8, 4, 4, 6, 6, 8, 9, 7, 8, 8, 8, 7, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 9, 10, 9, 9, 9, 4, 4, 7, 8, 6, 6, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 9, 11, 11, 9, 11, 11, 10, 11, 11, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 10, 11, 9, 10, 9, 10, 9, 9, 10, 11, 9, 5, 5, 6, 7, 7, 6, 6, 6, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 10, 11, 10, 11, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 7, 7, 1, 2, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 12, 1, 1, 12, 12, 12, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 7395, 14510, 203, 465, 3363, 203, 465, 2322, 203, 465, 1963, 4478, 203, 465, 13092, 203, 465, 787, 203, 1070, 39798, 1188, 4527, 203, 1489, 4478, 32, 1664, 26, 33420, 470, 47, 1815, 27, 203, 589, 894, 81, 1216, 81, 2811, 26, 3625, 3731, 711, 284, 4527, 32, 1216, 81, 2811, 463, 858, 81, 1311, 370, 330, 858, 81, 605, 683, 284, 1056, 30, 617, 280, 5205, 3731, 32, 850, 541, 530, 346, 284, 1780, 280, 428, 291, 1963, 4478, 32, 2495, 32, 21287, 30, 1963, 4478, 32, 2275, 32, 4758, 4006, 30, 1963, 4478, 32, 6537, 32, 22770, 30, 291, 330, 2897, 44, 894, 81, 1311, 370, 1963, 4478, 32, 6537, 32, 13876, 30, 1963, 4478, 32, 2495, 32, 13876, 30, 291, 1963, 4478, 32, 2275, 32, 13876, 81, 2320, 284, 1481, 284, 1459, 463, 2473, 2524, 26, 1311, 490, 284, 706, 280, 428, 291, 1963, 4478, 32, 6537, 32, 22770, 30, 1963, 4478, 32, 2275, 32, 4758, 4006, 30, 330, 858, 81, 605, 370, 291, 1963, 4478, 32, 2275, 32, 13876, 81, 2320, 30, 1963, 4478, 32, 6537, 32, 13876, 284, 1481, 284, 1459, 463, 2473, 2524, 26, 605, 490, 284, 816, 30, 617, 280, 5205, 3731, 32, 850, 541, 530, 346, 284, 1201, 816, 610, 1056, 203, 589, 894, 81, 1216, 81, 9236, 81, 6862, 26, 3625, 3731, 711, 284, 4533, 280, 301, 291, 330, 37632, 14507, 81, 39275, 950, 330, 3986, 370, 291, 330, 37632, 14507, 81, 13496, 950, 330, 1632, 370, 291, 330, 37632, 14507, 950, 1665, 30, 291, 330, 2396, 815, 53, 7225, 81, 39275, 950, 330, 3986, 370, 291, 330, 2396, 815, 53, 7225, 81, 13496, 950, 330, 1632, 370, 291, 330, 2396, 815, 53, 7225, 950, 1665, 284, 320, 284, 4527, 32, 1216, 81, 9236, 81, 6862, 26, 2121, 27, 284, 1056, 30, 617, 280, 5205, 3731, 32, 850, 541, 530, 346, 284, 1780, 280, 428, 291, 1963, 4478, 32, 2495, 32, 21287, 30, 1963, 4478, 32, 2275, 32, 4758, 4006, 30, 1963, 4478, 32, 6537, 32, 22770, 30, 291, 330, 2897, 44, 31850, 14507, 20995, 36997, 370, 1963, 4478, 32, 6537, 32, 13876, 30, 1963, 4478, 32, 2495, 32, 13876, 30, 291, 1963, 4478, 32, 2275, 32, 13876, 81, 2320, 284, 1481, 284, 1459, 463, 2473, 2524, 26, 1311, 490, 284, 706, 280, 428, 291, 1963, 4478, 32, 6537, 32, 22770, 30, 1963, 4478, 32, 2275, 32, 4758, 4006, 30, 291, 4527, 32, 4770, 81, 5937, 1371, 324, 330, 37632, 14507, 81, 39275, 950, 330, 3986, 370, 324, 330, 37632, 14507, 81, 13496, 950, 330, 1632, 25, 291, 7305, 1963, 4478, 32, 2275, 32, 13876, 81, 2320, 30, 1963, 4478, 32, 6537, 32, 13876, 284, 1481, 284, 1459, 463, 2473, 2524, 26, 605, 490, 284, 1780, 280, 428, 291, 1963, 4478, 32, 2495, 32, 21287, 30, 1963, 4478, 32, 2275, 32, 4758, 4006, 30, 1963, 4478, 32, 6537, 32, 22770, 30, 291, 330, 2897, 44, 7694, 815, 53, 7225, 20995, 36997, 370, 1963, 4478, 32, 6537, 32, 13876, 30, 291, 1963, 4478, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 4, 4, 3, 4, 3, 5, 5, 4, 5, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 5, 5, 8, 7, 8, 6, 7, 5, 5, 8, 7, 8, 6, 7, 7, 5, 5, 8, 7, 8, 6, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 8, 7, 8, 6, 7, 5, 5, 8, 7, 8, 6, 7, 5, 5, 5, 8, 7, 8, 6, 7, 7, 7, 5, 5, 2, 2, 5, 9, 8, 7, 8, 7, 2, 2, 4, 4, 5, 5, 8, 7, 8, 6, 7, 5, 5, 8, 7, 8, 6, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 8, 7, 8, 6, 7, 7, 7, 5, 5, 8, 7, 8, 6, 7, 5, 5, 2, 2, 5, 9, 8, 7, 8, 7, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 5, 5, 2, 2, 5, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 5, 5, 8, 7, 8, 6, 7, 5, 5, 8, 7, 8, 6, 7, 7, 5, 5, 8, 7, 8, 6, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 8, 7, 8, 6, 7, 5, 5, 8, 7, 8, 6, 7, 5, 5, 5, 8, 7, 8, 6, 7, 7, 7, 5, 5, 2, 2, 5, 9, 8, 7, 8, 7, 2, 2, 4, 4, 5, 5, 8, 7, 8, 6, 7, 5, 5, 8, 7, 8, 6, 7, 7, 5, 5, 5, 7, 8, 8, 8, 7, 8, 8, 11, 11, 11, 11, 11, 9, 11, 11, 8, 8, 11, 11, 11, 11, 11, 9, 11, 11, 8, 8, 5, 8, 7, 8, 6, 7, 7, 7, 5, 5, 8, 7, 8, 6, 7, 5, 5, 2, 2, 5, 9, 8, 7, 8, 7, 2, 2, 4, 4, 5, 5, 8, 7, 8, 6, 7, 5, 5, 8, 7, 8, 6, 7, 7, 5, 5, 8, 7, 8, 6, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 7, 8, 6, 7, 5, 5, 5, 8, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 9, 9, 1, 1, 1, 1, 2, 1, 1, 2, 9, 9, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 3, 2, 2, 2, 2, 0, 0, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 9, 2, 2, 2, 0, 0, 2, 11, 2, 2, 2, 2, 0, 0, 2, 13, 2, 2, 2, 2, 2, 4, 4, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 7, 2, 2, 2, 2, 2, 0, 0, 2, 9, 2, 2, 2, 4, 4, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 7, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 10, 10, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 2, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 7, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 9, 1, 2, 2, 2, 1, 1, 1, 1, 2, 11, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 3, 2, 2, 2, 2, 0, 0, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 9, 2, 2, 2, 0, 0, 2, 11, 2, 2, 2, 2, 0, 0, 2, 13, 2, 2, 2, 2, 2, 4, 4, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 3, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 2, 0, 0, 2, 7, 2, 2, 2, 2, 2, 0, 0, 2, 9, 2, 2, 2, 4, 4, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 3, 2, 2, 2, 2, 0, 0, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 9, 2, 2, 2, 2, 0, 0 ]
[ 1070, 354, 39464, 1188, 3082, 11452, 203, 823, 11462, 12034, 5392, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 5111, 81, 6862, 711, 284, 630, 32, 2539, 81, 6862, 280, 5111, 81, 6862, 284, 630, 32, 329, 5212, 81, 3494, 280, 739, 346, 334, 665, 1156, 33644, 3207, 784, 30, 636, 711, 284, 773, 280, 630, 32, 2539, 81, 6862, 77, 426, 79, 284, 630, 32, 2539, 81, 6862, 77, 426, 79, 284, 630, 32, 329, 5212, 81, 3494, 32, 669, 26, 426, 27, 284, 415, 6937, 26, 869, 30, 308, 668, 30, 739, 30, 8825, 8531, 397, 442, 45242, 23, 101, 25, 904, 636, 284, 442, 330, 6069, 101, 25, 904, 636, 334, 665, 4166, 81, 2539, 81, 6862, 26, 784, 711, 284, 442, 5436, 43270, 93, 30, 630, 32, 2539, 81, 6862, 77, 93, 1130, 436, 831, 328, 630, 32, 329, 5212, 81, 3494, 1130, 203, 589, 11656, 81, 1217, 81, 2539, 81, 6862, 26, 1217, 30, 5111, 81, 6862, 711, 334, 5111, 81, 6862, 81, 5866, 280, 11462, 12034, 5392, 26, 2539, 81, 6862, 27, 334, 1596, 44, 284, 2467, 280, 2467, 904, 5111, 81, 6862, 81, 5866, 334, 2940, 25085, 619, 484, 44, 284, 3636, 3082, 11452, 32, 3041, 924, 26, 87, 77, 34, 614, 2467, 30, 5111, 81, 6862, 27, 334, 442, 2467, 30, 5111, 81, 6862, 81, 5866, 32, 1358, 81, 2539, 81, 6862, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 7, 6, 4, 4, 8, 9, 9, 9, 9, 7, 8, 7, 8, 7, 4, 4, 5, 7, 8, 7, 7, 9, 8, 8, 8, 8, 8, 5, 5, 7, 10, 10, 10, 8, 8, 4, 4, 5, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 10, 9, 9, 11, 12, 12, 12, 10, 11, 10, 8, 9, 9, 9, 10, 11, 11, 11, 11, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 3, 3, 6, 6, 7, 7, 8, 8, 8, 8, 3, 3, 4, 5, 5, 4, 4, 4, 6, 9, 8, 9, 9, 8, 10, 9, 10, 9, 8, 8, 8, 9, 9, 8, 2, 2, 3, 4, 4, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 2, 0, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 1, 1, 4, 4, 4, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 3, 1, 1, 3, 3, 3, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 5, 5, 1, 4, 4, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 440, 1174, 392, 313, 34, 34, 34, 42, 81, 2837, 81, 36, 34, 35, 39, 35, 34, 36, 40, 81, 34, 42, 36, 34, 3830, 284, 7373, 280, 428, 291, 12522, 32, 21722, 1176, 26, 324, 1542, 81, 426, 347, 1174, 392, 3610, 81, 426, 347, 2999, 392, 537, 81, 426, 347, 2999, 81, 1299, 20, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 347, 1174, 392, 324, 636, 347, 2999, 81, 9078, 392, 324, 1600, 47, 3378, 32, 7697, 1176, 26, 400, 10245, 81, 15778, 47, 36, 30, 400, 1769, 81, 17980, 47, 35, 36, 30, 400, 11771, 47, 1815, 30, 400, 744, 47, 1815, 30, 400, 9541, 81, 426, 347, 2999, 392, 324, 2588, 291, 2588, 291, 12522, 32, 18846, 1176, 26, 324, 1542, 81, 426, 347, 15480, 1363, 392, 324, 636, 347, 17220, 81, 1959, 392, 324, 1600, 47, 3378, 32, 16357, 26, 400, 1244, 20706, 1769, 81, 1322, 47, 36, 39, 39, 30, 3082, 81, 1055, 47, 1815, 30, 11771, 47, 1815, 324, 2588, 291, 2588, 291, 12522, 32, 18846, 1176, 26, 324, 1542, 81, 426, 347, 15480, 1363, 392, 324, 636, 347, 17095, 81, 2171, 392, 324, 1600, 47, 3378, 32, 16357, 26, 1536, 20706, 1769, 81, 1322, 47, 36, 39, 39, 30, 11771, 47, 1815, 471, 291, 2588, 284, 1481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 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, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 9, 9, 8, 10, 10, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 11, 10, 10, 10, 12, 12, 11, 12, 10, 10, 10, 12, 12, 11, 12, 12, 10, 10, 10, 11, 12, 10, 10, 10, 11, 12, 10, 10, 10, 12, 12, 11, 13, 13, 10, 10, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 10, 10, 11, 10, 12, 12, 11, 12, 12, 12, 10, 10, 12, 12, 11, 12, 10, 10, 11, 12, 10, 10, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 10, 12, 12, 11, 12, 12, 12, 10, 10, 11, 12, 10, 7, 7, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 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, 4, 4, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 3, 1, 2, 1, 0, 0, 5, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 0, 0, 9, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 3089, 749, 98, 1188, 4125, 203, 1070, 3089, 749, 98, 32, 4151, 1188, 4401, 30, 8513, 36, 11374, 30, 13030, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 465, 3089, 749, 98, 32, 23403, 32, 12710, 81, 15144, 619, 11339, 203, 823, 4054, 81, 2387, 26, 500, 104, 32, 500, 104, 711, 284, 617, 6815, 280, 330, 2445, 32, 2387, 25, 284, 617, 6057, 280, 301, 291, 330, 1567, 81, 1253, 950, 3829, 32, 4398, 463, 1151, 18865, 370, 3049, 1057, 2133, 19714, 415, 312, 4054, 5652, 372, 1487, 6924, 600, 1692, 14539, 821, 322, 24066, 432, 312, 23260, 2532, 1628, 41365, 291, 330, 1567, 81, 681, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 1567, 32, 681, 370, 330, 620, 432, 3903, 370, 3049, 1057, 1908, 1692, 3738, 1259, 1412, 996, 793, 458, 4054, 328, 23260, 2532, 5430, 30, 561, 1098, 2761, 5216, 432, 458, 827, 1755, 41365, 284, 320, 284, 665, 43398, 81, 1567, 81, 1253, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 827, 30, 1692, 81, 1253, 30, 1619, 47, 2521, 711, 291, 415, 1692, 81, 1253, 44, 324, 442, 5053, 853, 950, 5053, 681, 950, 330, 2122, 21028, 291, 442, 2149, 203, 823, 4054, 26, 500, 104, 32, 500, 104, 711, 284, 617, 6815, 280, 330, 2445, 32, 2445, 25, 284, 617, 6057, 280, 301, 291, 330, 1567, 81, 13968, 81, 3631, 950, 3829, 32, 658, 36, 11374, 463, 1567, 32, 1567, 32, 13968, 370, 330, 2445, 81, 314, 370, 330, 1151, 34354, 5231, 1425, 284, 320, 284, 665, 43398, 81, 1567, 81, 1253, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 827, 30, 1692, 81, 1253, 30, 1619, 47, 2521, 711, 291, 415, 1692, 81, 1253, 44, 324, 442, 5053, 853, 950, 5053, 681, 950, 330, 2122, 21028, 291, 442, 2149, 203, 823, 25943, 81, 1174, 81, 928, 26, 500, 104, 32, 500, 104, 711, 284, 617, 6815, 280, 330, 16842, 32, 1174, 32, 928, 25, 284, 617, 6057, 280, 301, 291, 330, 1567, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 1567, 32, 1567, 370, 330, 1151, 370, 324, 3049, 347, 21052, 600, 1692, 461, 561, 1098, 6924, 1487, 312, 14539, 436, 458, 1692, 26551, 291, 330, 1567, 81, 13968, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 1567, 32, 1567, 32, 13968, 370, 330, 1151, 32413, 370, 324, 3049, 347, 21052, 600, 1692, 14736, 461, 561, 1098, 6924, 1487, 312, 14539, 436, 458, 1692, 14736, 26551, 291, 330, 1567, 81, 681, 81, 314, 950, 3829, 32, 10513, 463, 2445, 81, 314, 1195, 1567, 81, 681, 81, 314, 370, 827, 1057, 11374, 36, 658, 370, 14772, 347, 1567, 32, 681, 392, 802, 347, 1151, 2768, 2113, 291, 330, 1567, 81, 1253, 950, 3829, 32, 10513, 463, 2445, 81, 314, 370, 330, 1567, 81, 1253, 370, 802, 1057, 1567, 81, 1253, 370, 827, 1057, 4398, 1425, 284, 320, 284, 665, 617, 9266, 81, 1174, 81, 928, 81, 10969, 81, 928, 26, 784, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 11, 11, 9, 13, 13, 11, 13, 13, 4, 4, 5, 0, 1, 1, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 11, 11, 9, 13, 13, 11, 13, 13, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 11, 11, 11, 11, 8, 9, 11, 11, 11, 11, 8, 9, 11, 11, 11, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 11, 11, 11, 11, 8, 9, 11, 11, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 5, 5, 1, 1, 2, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 3, 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, 1, 1, 2, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 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, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 11, 2, 2, 13, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 1, 0, 6, 6, 2, 0, 0, 1, 2, 2, 2, 6, 6, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 11, 2, 2, 13, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 1, 0, 7, 7, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 7, 7, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 5, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 1, 1, 1, 2, 1, 9, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 15390, 81, 30839, 203, 1070, 10773, 1114, 7980, 32, 25931, 1188, 1344, 81, 681, 203, 1070, 638, 1188, 1695, 203, 1070, 4377, 9777, 1188, 26169, 30, 763, 7452, 203, 1070, 4377, 9777, 1188, 5122, 22444, 203, 1166, 22444, 280, 34873, 2524, 26, 1166, 22444, 27, 203, 823, 8287, 26, 1439, 32, 2348, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1914, 30, 1205, 81, 19807, 81, 3963, 47, 1815, 711, 291, 2599, 26, 2348, 30, 630, 14585, 1664, 3207, 1855, 27, 291, 630, 32, 1981, 81, 19807, 81, 3963, 280, 1205, 81, 19807, 81, 3963, 284, 665, 1156, 1731, 3207, 784, 711, 291, 2156, 81, 7594, 280, 1605, 291, 436, 2404, 328, 1695, 32, 2348, 3667, 1731, 3207, 784, 711, 324, 827, 280, 2404, 1365, 681, 1446, 324, 415, 827, 328, 2884, 2130, 2633, 392, 313, 2766, 2633, 10280, 400, 3583, 280, 2404, 1365, 2011, 1446, 400, 636, 280, 2404, 1365, 426, 1446, 400, 1201, 3583, 438, 1665, 556, 6937, 26, 2011, 30, 1344, 81, 681, 27, 400, 1201, 3583, 863, 3330, 400, 1201, 6937, 26, 426, 30, 1344, 81, 681, 27, 400, 1201, 636, 863, 3330, 400, 1201, 6937, 26, 1956, 1365, 605, 3439, 5436, 27, 400, 415, 308, 1206, 3583, 556, 3583, 610, 26169, 1365, 916, 6890, 461, 636, 328, 763, 7452, 44, 528, 1201, 827, 610, 313, 2766, 2633, 20, 400, 813, 44, 528, 1201, 827, 610, 313, 2130, 2633, 20, 400, 415, 827, 610, 313, 2130, 2633, 20, 461, 630, 32, 1981, 81, 19807, 81, 3963, 44, 528, 2156, 81, 7594, 32, 1689, 1162, 2011, 30, 636, 490, 400, 436, 308, 2011, 30, 636, 471, 786, 328, 2404, 1365, 605, 6494, 3028, 2262, 528, 1201, 3583, 438, 1665, 556, 6937, 26, 2011, 30, 1344, 81, 681, 27, 528, 1201, 3583, 863, 3330, 528, 1201, 6937, 26, 426, 30, 1344, 81, 681, 27, 528, 1201, 636, 863, 3330, 528, 1201, 6937, 26, 853, 30, 1344, 81, 681, 27, 324, 4348, 827, 610, 313, 2102, 2633, 563, 400, 3583, 280, 2404, 1365, 2011, 1446, 400, 636, 280, 2404, 1365, 426, 1446, 400, 1201, 3583, 438, 1665, 556, 6937, 26, 2011, 30, 1344, 81, 681, 27, 400, 1201, 3583, 863, 3330, 400, 1201, 6937, 26, 426, 30, 1344, 81, 681, 27, 400, 1201, 636, 863, 3330, 400, 415, 308, 1206, 3583, 556, 3583, 610, 26169, 1365, 916, 6890, 461, 636, 328, 763, 7452, 44, 528, 1201, 3177, 30, 313, 10716, 1994, 14527, 619, 4720, 2633, 2404, 44, 18147, 2142, 27, 101, 20, 904, 3447, 2142, 563, 636, 111, 400, 4348, 630, 32, 1981, 81, 19807, 81, 3963, 44, 528, 1477, 280, 2156, 81, 7594, 32, 3235, 346, 528, 1201, 1477, 610, 308, 2011, 30, 636, 27, 324, 4348, 827, 610, 313, 6315, 563, 400, 706, 280, 2404, 1365, 605, 1446, 400, 1201, 6937, 26, 605, 30, 1344, 81, 681, 27, 324, 4348, 827, 328, 2884, 22444, 392, 313, 5135, 22444, 10280, 400, 706, 280, 2404, 1365, 605, 1446, 400, 1201, 6937, 26, 605, 30, 1344, 81, 681, 27, 400, 1201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 3, 3, 2, 2, 5, 4, 5, 5, 4, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 3, 3, 9, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 5, 5, 8, 9, 7, 8, 8, 8, 7, 5, 5, 8, 8, 9, 11, 11, 6, 6, 7, 8, 8, 11, 11, 11, 9, 11, 11, 11, 7, 7, 10, 10, 11, 13, 13, 8, 8, 10, 10, 11, 13, 13, 8, 8, 9, 11, 11, 10, 10, 12, 13, 12, 12, 13, 13, 12, 8, 8, 9, 10, 10, 8, 8, 9, 11, 12, 11, 11, 12, 12, 11, 8, 8, 9, 10, 10, 8, 8, 9, 11, 13, 12, 14, 14, 11, 11, 8, 8, 9, 13, 13, 12, 12, 13, 13, 14, 16, 16, 10, 10, 11, 11, 12, 9, 9, 9, 11, 12, 12, 14, 14, 14, 9, 9, 10, 10, 10, 12, 13, 13, 15, 15, 15, 8, 8, 9, 11, 11, 13, 13, 13, 10, 10, 11, 12, 12, 12, 12, 12, 9, 9, 9, 14, 14, 13, 14, 13, 15, 14, 14, 14, 8, 8, 9, 12, 11, 11, 11, 10, 9, 9, 12, 14, 14, 12, 11, 9, 9, 11, 13, 13, 12, 12, 14, 15, 14, 14, 15, 15, 14, 10, 10, 11, 12, 12, 10, 10, 11, 13, 14, 13, 13, 14, 14, 13, 10, 10, 11, 12, 12, 10, 10, 11, 13, 14, 13, 13, 14, 14, 13, 7, 7, 8, 9, 9, 11, 11, 11, 8, 8, 11, 11, 12, 14, 14, 9, 9, 11, 11, 12, 14, 14, 9, 9, 10, 12, 12, 11, 11, 13, 14, 13, 13, 14, 14, 13, 9, 9, 10, 11, 11, 9, 9, 10, 12, 13, 12, 12, 13, 13, 12, 9, 9, 10, 11, 11, 9, 9, 10, 14, 14, 13, 13, 14, 14, 15, 17, 17, 11, 11, 12, 12, 13, 10, 10, 10, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 17, 17, 15, 14, 10, 10, 11, 12, 13, 13, 13, 13, 13, 11, 11, 11, 14, 14, 17, 17, 16, 17, 16, 12, 12, 13, 14, 14, 16, 15, 15, 15, 7, 7, 8, 9, 9, 11, 11, 8, 8, 11, 11, 12, 14, 14, 9, 9, 10, 12, 13, 12, 12, 13, 13, 12, 7, 7, 8, 9, 9, 12, 12, 10, 12, 12, 12, 8, 8, 11, 11, 12, 14, 14, 9, 9, 10, 12, 13, 12, 12, 13, 13, 12, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 6, 6, 2, 0, 1, 2, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 3, 3, 0, 0, 2, 1, 2, 3, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 1, 1, 3, 3, 4, 1, 1, 1, 1, 3, 3, 1, 3, 3, 5, 1, 1, 3, 3, 6, 1, 0, 1, 1, 2, 1, 1, 3, 3, 7, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 7, 7, 7, 0, 1, 1, 1, 1, 2, 7, 7, 4, 4, 4, 0, 1, 1, 1, 1, 2, 3, 3, 8, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 8, 8, 8, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 9, 1, 0, 0, 0, 1, 9, 9, 0, 1, 2, 2, 1, 9, 9, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 1, 1, 5, 5, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 3, 1, 1, 5, 5, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 2, 3, 3, 0, 0, 2, 1, 2, 3, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 1, 1, 3, 3, 4, 1, 1, 1, 1, 3, 3, 1, 3, 3, 5, 1, 1, 3, 3, 6, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 6, 6, 6, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 1, 2, 6, 6, 4, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 5, 1, 1, 1, 2, 5, 5, 0, 0, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 6, 1, 1, 1, 2, 2, 1, 1, 2, 6, 6, 0, 0, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3 ]
[ 465, 296, 7858, 94, 203, 465, 2361, 203, 465, 2322, 203, 465, 9661, 1040, 203, 465, 6314, 203, 465, 7060, 203, 465, 5237, 203, 465, 1133, 203, 465, 26313, 203, 823, 16638, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1123, 30, 4870, 711, 291, 630, 32, 725, 280, 1123, 291, 630, 32, 6320, 280, 2322, 32, 371, 6320, 346, 291, 630, 32, 3607, 280, 4870, 291, 630, 32, 3426, 280, 3177, 291, 630, 32, 9889, 280, 301, 324, 313, 6320, 563, 630, 32, 6320, 30, 324, 313, 9698, 563, 225, 34, 30, 324, 313, 1517, 563, 313, 17431, 392, 324, 313, 2135, 81, 15697, 563, 629, 26, 1003, 32, 1003, 6182, 324, 313, 3423, 563, 4320, 324, 313, 1959, 563, 4320, 291, 320, 291, 415, 630, 32, 297, 81, 3426, 1160, 2262, 324, 630, 32, 3426, 280, 2933, 324, 623, 2156, 26, 3607, 30, 2926, 347, 105, 657, 619, 11828, 44, 400, 11828, 32, 1821, 440, 33270, 2296, 1643, 26, 528, 313, 3951, 14819, 2287, 1957, 646, 2193, 10366, 3664, 1542, 32, 225, 3003, 528, 313, 2986, 1755, 10366, 1406, 31, 15793, 47136, 400, 442, 291, 630, 32, 1001, 81, 4994, 410, 81, 4531, 280, 7060, 32, 371, 7295, 26, 7295, 32, 14840, 1844, 27, 291, 630, 32, 1001, 81, 4994, 3890, 81, 4531, 280, 7060, 32, 371, 7295, 26, 7295, 32, 14840, 19794, 27, 291, 630, 32, 1001, 81, 4994, 360, 2051, 81, 4531, 280, 7060, 32, 371, 7295, 26, 7295, 32, 14840, 1319, 4460, 27, 291, 298, 6320, 81, 27749, 280, 9661, 1040, 32, 2861, 26, 500, 32, 371, 593, 314, 4251, 1297, 81, 1003, 346, 291, 803, 81, 27749, 280, 225, 34, 32, 34, 291, 415, 2322, 32, 983, 32, 4658, 26, 784, 32, 3607, 711, 324, 803, 81, 27749, 280, 2322, 32, 4597, 26, 784, 32, 3607, 547, 270, 81, 27749, 324, 415, 298, 6320, 81, 27749, 848, 803, 81, 27749, 44, 400, 2322, 32, 2546, 26, 784, 32, 3607, 27, 291, 415, 298, 6320, 81, 27749, 848, 803, 81, 27749, 44, 324, 623, 2156, 26, 3607, 30, 2926, 347, 105, 657, 619, 296, 44, 400, 2830, 280, 301, 528, 313, 17733, 563, 5518, 400, 320, 400, 2361, 32, 5937, 26, 2067, 30, 296, 27, 400, 2322, 32, 43231, 26, 3607, 30, 2322, 32, 371, 1890, 1026, 2322, 32, 371, 15946, 1157, 400, 6314, 1338, 280, 2322, 32, 4597, 26, 3607, 27, 400, 2926, 280, 6314, 1338, 32, 270, 81, 2816, 474, 6314, 32, 69, 81, 27313, 47517, 400, 2322, 32, 26030, 26, 3607, 30, 2926, 47, 2816, 27, 291, 7060, 32, 7295, 26, 7295, 32, 14840, 1844, 30, 630, 32, 4531, 27, 291, 7060, 32, 7295, 26, 7295, 32, 14840, 19794, 30, 630, 32, 4531, 27, 291, 7060, 32, 7295, 26, 7295, 32, 14840, 1319, 4460, 30, 630, 32, 4531, 27, 291, 623, 2156, 26, 784, 32, 3607, 30, 2926, 347, 100, 36998, 619, 630, 32, 4426, 44, 324, 630, 32, 1877, 81, 1517, 26, 4426, 47, 784, 32, 4426, 30, 3219, 47, 1815, 27, 284, 665, 1156, 1851, 3207, 784, 30, 16277, 30, 1477, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 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, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 10, 10, 8, 9, 10, 7, 7, 7, 10, 10, 8, 9, 7, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 13, 12, 13, 12, 7, 7, 10, 10, 8, 7, 7, 10, 10, 8, 7, 7, 4, 4, 5, 7, 8, 8, 8, 8, 7, 5, 5, 9, 10, 8, 8, 6, 6, 7, 12, 13, 12, 12, 13, 15, 15, 10, 10, 7, 7, 7, 11, 12, 11, 15, 15, 14, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 7, 7, 6, 6, 11, 10, 11, 10, 13, 12, 13, 13, 13, 12, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 7, 7, 7, 4, 4, 5, 8, 9, 7, 8, 7, 9, 8, 9, 7, 5, 5, 9, 9, 8, 8, 11, 12, 11, 13, 12, 13, 11, 10, 10, 10, 6, 6, 7, 9, 9, 9, 8, 8, 9, 9, 7, 7, 7, 11, 12, 11, 13, 12, 13, 11, 4, 4, 5, 7, 7, 7, 6, 6, 7, 7, 5, 5, 5, 7, 12, 13, 12, 12, 13, 15, 15, 10, 10, 7, 7, 7, 10, 10, 11, 11, 14, 14, 12, 11, 11, 8, 8, 11, 12, 11, 12, 11, 11, 11, 8, 8, 11, 12, 11, 12, 11, 11, 13, 14, 14, 13, 11, 13, 14, 14, 13, 8, 8, 11, 10, 10, 12, 13, 12, 13, 12, 8, 8, 10, 10, 13, 12, 13, 13, 13, 11, 11, 12, 13, 13, 13, 13, 8, 8, 11, 12, 11, 12, 11, 11, 12, 13, 11, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 7, 4, 4, 5, 10, 12, 11, 12, 10, 10, 11, 13, 13, 8, 8, 10, 11, 5, 5, 5, 9, 10, 10, 10, 9, 11, 10, 12, 11, 12, 9, 9, 10, 11, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 9, 9, 9, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 0, 0, 2, 1, 2, 2, 1, 2, 9, 2, 2, 1, 2, 11, 2, 2, 4, 4, 5, 0, 2, 2, 2, 2, 1, 5, 5, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 3, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 11, 0, 2, 0, 2, 1, 0, 1, 2, 1, 11, 11, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 3, 3, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 4, 4, 12, 0, 0, 0, 1, 1, 2, 2, 12, 12, 12, 0, 1, 1, 1, 1, 3, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 16, 1, 0, 1, 2, 1, 1, 3, 1, 1, 0, 0, 0, 2, 16, 16, 16, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 2, 1, 3, 3, 1, 1, 1, 1, 2, 2, 2, 2, 5 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 465, 6436, 619, 2065, 203, 1070, 638, 107, 404, 713, 761, 1188, 319, 203, 823, 1410, 404, 713, 5637, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 983, 711, 291, 630, 32, 983, 280, 1519, 291, 630, 32, 107, 404, 713, 2536, 280, 1605, 4456, 436, 24797, 30, 4921, 4243, 30, 26719, 328, 2322, 32, 11905, 26, 983, 711, 324, 436, 4870, 328, 26719, 44, 400, 533, 280, 1410, 404, 713, 974, 26, 3607, 30, 4844, 47, 7781, 27, 400, 415, 533, 32, 681, 863, 25, 6876, 950, 11057, 630, 32, 107, 404, 713, 2536, 32, 1689, 26, 107, 27, 284, 665, 622, 81, 605, 26, 784, 711, 291, 706, 280, 2149, 291, 436, 533, 404, 713, 761, 328, 630, 32, 107, 404, 713, 2536, 44, 324, 1459, 26, 107, 404, 713, 761, 32, 3607, 27, 324, 1459, 440, 605, 9318, 668, 26, 107, 404, 713, 761, 32, 605, 32, 3494, 5156, 324, 1459, 440, 19118, 9318, 107, 404, 713, 761, 32, 1835, 5136, 27, 324, 1459, 440, 8447, 9318, 107, 404, 713, 761, 32, 19991, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 309, 280, 4247, 291, 436, 533, 404, 713, 761, 328, 630, 32, 107, 404, 713, 2536, 44, 324, 309, 1454, 5461, 101, 78, 96, 15860, 466, 26, 107, 404, 713, 761, 27, 291, 442, 309, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 0, 1, 1, 4, 4, 4, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 5, 6, 6, 7, 6, 6, 5, 5, 7, 8, 7, 8, 7, 5, 5, 7, 7, 7, 7, 7, 7, 10, 10, 12, 12, 12, 12, 13, 12, 12, 13, 14, 12, 8, 8, 9, 11, 12, 10, 12, 12, 12, 9, 9, 14, 15, 15, 15, 15, 13, 14, 13, 14, 13, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 6, 7, 7, 7, 7, 5, 5, 5, 9, 11, 11, 11, 11, 10, 11, 9, 6, 6, 9, 11, 11, 11, 11, 15, 15, 15, 15, 14, 15, 13, 14, 13, 6, 6, 9, 11, 11, 11, 11, 11, 11, 10, 11, 11, 9, 6, 6, 9, 11, 11, 11, 11, 11, 11, 10, 11, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 6, 7, 7, 7, 7, 5, 5, 5, 8, 8, 11, 12, 12, 11, 11, 11, 12, 12, 12, 12, 11, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 3, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 5, 5, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 5, 5, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 5, 5, 1, 1, 1, 0, 0, 0, 0, 3, 2, 2, 1, 5, 5, 1, 1, 1, 0, 0, 0, 0, 3, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 22045, 203, 465, 6382, 203, 1070, 6382, 32, 3378, 32, 12824, 1188, 9095, 203, 1070, 894, 12824, 32, 1262, 32, 2304, 1188, 6517, 81, 2630, 203, 1070, 894, 12824, 32, 1262, 32, 2304, 1188, 1244, 81, 10419, 81, 639, 203, 823, 9537, 1486, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1580, 280, 6382, 32, 1070, 81, 2121, 346, 284, 665, 1420, 26, 784, 30, 1778, 44, 596, 30, 324, 2016, 44, 596, 280, 1665, 30, 324, 4706, 44, 5436, 280, 1665, 30, 324, 14844, 44, 5436, 280, 1665, 30, 324, 35562, 44, 1560, 280, 3177, 30, 324, 12532, 44, 1560, 280, 2933, 30, 324, 16154, 44, 1560, 280, 3177, 30, 324, 3345, 44, 1560, 280, 3177, 30, 1115, 5321, 27, 967, 9095, 44, 291, 442, 630, 32, 1580, 32, 12824, 32, 1945, 26, 893, 30, 10631, 2016, 47, 2501, 30, 10631, 12532, 47, 9362, 30, 10631, 16154, 47, 8228, 30, 10631, 3345, 47, 2546, 30, 10631, 35562, 47, 18723, 30, 10631, 4706, 47, 9236, 30, 10631, 14844, 47, 11170, 30, 10631, 1115, 5321, 27, 284, 665, 2601, 26, 784, 30, 3851, 81, 314, 30, 2601, 711, 291, 442, 630, 32, 1580, 32, 1237, 32, 625, 26, 2630, 81, 314, 30, 2601, 5594, 34, 11159, 3663, 3437, 1446, 284, 665, 20196, 81, 639, 26, 784, 30, 3851, 81, 314, 711, 291, 3851, 280, 630, 32, 1580, 32, 1237, 32, 12824, 26, 9211, 12516, 314, 950, 3851, 81, 314, 1748, 77, 34, 79, 291, 442, 3851, 710, 4711, 2963, 4902, 32549, 4902, 12154, 4902, 27108, 785, 284, 665, 16686, 81, 639, 26, 784, 30, 3851, 81, 314, 711, 291, 3851, 280, 630, 32, 1580, 32, 1237, 32, 12824, 26, 9211, 12516, 314, 950, 3851, 81, 314, 1748, 77, 34, 79, 291, 442, 3851, 710, 4711, 2963, 4902, 32549, 4902, 12154, 4902, 10839, 785, 284, 665, 3408, 26, 784, 711, 291, 3408, 280, 2322, 32, 12757, 32, 371, 463, 6543, 81, 8472, 683, 291, 415, 3408, 44, 324, 442, 3408, 291, 1596, 44, 324, 1984, 280, 22045, 32, 2208, 32, 965, 2208, 26, 784, 32, 1580, 32, 1237, 32, 1439, 81, 965, 27, 291, 2940, 10091, 44, 324, 442, 1665, 291, 415, 330, 525, 25, 328, 1984, 32, 13627, 556, 330, 9374, 25, 328, 1984, 32, 13627, 44, 324, 442, 1984, 32, 12256, 291, 415, 330, 16705, 25, 328, 1984, 32, 13627, 556, 330, 96, 7413, 25, 328, 1984, 32, 13627, 44, 324, 415, 6517, 81, 2630, 2262, 400, 4749, 81, 2468, 280, 1244, 81, 10419, 81, 639, 346, 400, 415, 4749, 81, 2468, 44, 528, 442, 4749, 81, 2468, 291, 442, 313, 5007, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 4, 3, 3, 3, 3, 3, 5, 9, 10, 8, 9, 7, 8, 7, 8, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 11, 12, 10, 11, 9, 10, 9, 10, 10, 10, 9, 9, 9, 8, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 11, 12, 10, 11, 9, 10, 9, 11, 10, 14, 14, 12, 13, 13, 11, 7, 8, 7, 4, 4, 5, 9, 11, 11, 11, 10, 10, 9, 9, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 11, 12, 10, 11, 9, 10, 9, 11, 10, 14, 14, 12, 13, 13, 11, 7, 8, 7, 4, 4, 5, 9, 11, 11, 11, 10, 10, 9, 9, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 5, 5, 5, 7, 4, 4, 5, 5, 5, 8, 8, 11, 12, 10, 11, 11, 10, 14, 13, 14, 12, 13, 11, 12, 12, 12, 10, 5, 5, 6, 6, 6, 6, 8, 4, 4, 5, 9, 9, 7, 7, 8, 9, 6, 6, 9, 9, 7, 7, 8, 9, 5, 5, 5, 7, 8, 9, 4, 4, 5, 9, 9, 7, 7, 8, 9, 6, 6, 9, 9, 9, 7, 7, 8, 9, 5, 5, 5, 7, 9, 9, 9, 7, 7, 11, 11, 10, 10, 12, 12, 12, 12, 12, 8, 8, 9, 10, 10, 9, 9, 9, 11, 12, 12, 4, 4, 5, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 5, 5, 5, 5, 2, 2, 2, 7, 7, 7, 7, 2, 2, 2, 9, 9, 9, 9, 2, 2, 2, 11, 11, 11, 11, 2, 2, 2, 13, 13, 13, 13, 2, 2, 2, 15, 15, 15, 15, 2, 2, 2, 17, 17, 17, 17, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 1, 11, 2, 1, 1, 1, 13, 2, 1, 1, 1, 15, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 4, 4, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 0, 4, 4, 3, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 0, 1, 2, 4, 4, 4, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 4, 5, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 823, 3903, 26, 1473, 711, 284, 827, 280, 3330, 284, 1619, 280, 1665, 284, 13595, 6129, 280, 1665, 284, 23743, 280, 308, 34, 30, 34, 30, 34, 27, 3701, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 20267, 5909, 280, 2149, 284, 665, 21286, 308, 784, 30, 1202, 30, 786, 280, 1665, 711, 291, 415, 786, 438, 1665, 44, 324, 630, 32, 20267, 5909, 32, 371, 26, 678, 27, 291, 813, 44, 324, 4552, 882, 280, 630, 32, 20267, 5909, 32, 371, 26, 678, 27, 324, 630, 32, 20267, 5909, 77, 678, 79, 280, 786, 324, 442, 4552, 882, 284, 665, 39818, 308, 784, 711, 284, 665, 622, 24979, 26, 630, 8063, 291, 442, 630, 32, 28679, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 5, 4, 4, 2, 2, 4, 4, 6, 5, 6, 5, 6, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 2, 2, 3, 3, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 5, 5, 5, 10, 11, 11, 9, 10, 9, 10, 9, 5, 5, 6, 6, 6, 10, 9, 9, 12, 13, 13, 11, 12, 11, 12, 11, 7, 7, 11, 12, 12, 10, 11, 10, 9, 9, 7, 7, 8, 9, 2, 2, 3, 3, 5, 4, 2, 2, 3, 4, 4, 4, 4, 3, 3, 5, 6, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 2, 1, 2, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 1, 2, 3, 2, 5, 2, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 5, 5, 1, 2, 2, 2, 2, 5, 5, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 6, 6, 1, 2, 4, 4, 7, 1, 2, 2, 2, 7, 7, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 1133, 203, 465, 1695, 40, 38, 203, 465, 42406, 203, 465, 7138, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 823, 4448, 1763, 26, 3378, 32, 1243, 711, 284, 1256, 280, 4549, 32, 13343, 26, 1240, 27, 284, 2404, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 40, 38, 27, 284, 23192, 280, 4549, 32, 36172, 346, 284, 477, 17614, 284, 665, 1968, 81, 8395, 26, 6933, 30, 1256, 30, 2385, 47, 35, 711, 291, 5881, 291, 10945, 1591, 556, 1829, 7937, 436, 322, 2702, 1256, 32, 291, 499, 753, 529, 11025, 32, 12023, 32, 2393, 32, 3378, 32, 1240, 82, 1256, 44, 886, 1256, 688, 616, 322, 4723, 7937, 1395, 526, 2080, 436, 32, 291, 499, 753, 629, 2385, 44, 886, 1451, 432, 7937, 372, 4450, 32, 291, 5881, 291, 595, 280, 225, 34, 291, 7937, 280, 1605, 291, 23888, 280, 7138, 32, 6665, 32, 44026, 346, 474, 7138, 32, 32888, 26, 14991, 47, 35, 27, 291, 2218, 595, 333, 2385, 44, 324, 3677, 280, 42406, 32, 5567, 36, 39, 40, 26, 466, 26, 1003, 32, 1003, 4251, 4434, 463, 3310, 42, 12097, 6949, 13995, 346, 324, 2404, 280, 4448, 1763, 26, 496, 47, 496, 30, 2404, 47, 2888, 30, 23192, 47, 26923, 27, 324, 7937, 32, 1689, 26, 1956, 27, 324, 595, 1454, 225, 35, 291, 9011, 32, 5740, 32, 17245, 81, 1297, 26, 8395, 27, 291, 442, 7937, 203, 823, 13165, 7792, 26, 3378, 32, 1243, 711, 284, 1256, 280, 4549, 32, 3582, 23468, 1176, 26, 1240, 27, 284, 7176, 81, 7241, 280, 4549, 32, 6954, 1176, 26, 1449, 81, 1322, 47, 40, 38, 27, 284, 477, 17614, 284, 665, 622, 81, 271, 81, 1297, 26, 6933, 30, 1256, 711, 291, 1596, 44, 324, 442, 9011, 32, 5740, 32, 371, 26, 496, 47, 496, 547, 4190, 81, 7241, 291, 2940, 9011, 32, 34747, 44, 324, 9313, 280, 1695, 40, 38, 32, 84, 40, 38, 4434, 26, 500, 32, 305, 1911, 26, 38, 40, 490, 324, 2830, 280, 9011, 26, 496, 47, 496, 30, 7176, 81, 7241, 47, 7241, 27, 324, 2830, 32, 2853, 346, 324, 442, 2830, 32, 4190, 81, 7241, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 7, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 8, 5, 5, 7, 7, 5, 5, 7, 7, 11, 12, 10, 11, 10, 8, 8, 10, 11, 10, 12, 11, 12, 10, 5, 5, 6, 7, 7, 6, 6, 6, 9, 9, 13, 14, 14, 14, 14, 13, 17, 17, 20, 19, 20, 19, 16, 15, 17, 17, 17, 12, 12, 11, 7, 7, 9, 9, 11, 11, 13, 12, 13, 11, 11, 12, 13, 11, 11, 12, 13, 11, 7, 7, 10, 11, 10, 11, 10, 7, 7, 9, 9, 10, 5, 5, 9, 10, 8, 9, 9, 9, 8, 9, 8, 5, 5, 6, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 8, 8, 8, 7, 8, 8, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 6, 6, 8, 12, 13, 11, 12, 11, 13, 12, 13, 11, 10, 10, 10, 6, 6, 7, 8, 9, 7, 7, 7, 10, 10, 13, 13, 12, 13, 13, 13, 13, 12, 15, 14, 15, 15, 14, 15, 15, 14, 8, 8, 10, 10, 12, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 8, 8, 11, 12, 11, 8, 8, 9, 10, 11, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 7, 7, 1, 2, 0, 1, 2, 2, 7, 7, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 6, 0, 8, 8, 1, 2, 0, 1, 2, 2, 8, 8, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 4, 4, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 3, 1, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 3, 3, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 3, 3, 0, 2, 1, 3, 3, 3, 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 ]
[ 1070, 3980, 13646, 32, 2304, 32, 18972, 1188, 2454, 81, 3550, 81, 12940, 30, 1974, 81, 3550, 81, 12940, 203, 1070, 3980, 13646, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 3550, 81, 12940, 280, 308, 284, 2726, 12892, 370, 301, 291, 330, 426, 950, 26155, 3699, 40152, 9923, 2113, 291, 330, 2310, 950, 26155, 1027, 2475, 4070, 2608, 844, 372, 12075, 7663, 432, 1370, 8999, 13077, 26551, 291, 330, 3550, 950, 308, 324, 2726, 3524, 81, 15297, 370, 301, 400, 330, 853, 950, 351, 313, 4108, 392, 400, 330, 681, 950, 263, 313, 800, 392, 400, 330, 1131, 950, 351, 313, 11447, 392, 400, 330, 7615, 950, 351, 5053, 19833, 950, 41449, 4108, 370, 26155, 2023, 6850, 2129, 12941, 2726, 496, 370, 26155, 17542, 6512, 4618, 372, 2680, 12941, 2726, 2300, 370, 26155, 17542, 810, 34310, 12941, 2726, 1521, 370, 26155, 41426, 2608, 537, 9416, 31474, 2131, 15755, 400, 330, 12637, 950, 264, 26155, 3699, 22284, 31474, 2113, 400, 330, 426, 950, 263, 26155, 1812, 13077, 6850, 2113, 324, 7305, 324, 2726, 1536, 81, 18218, 370, 301, 400, 330, 853, 950, 351, 313, 16700, 392, 400, 330, 681, 950, 263, 313, 800, 392, 400, 330, 1131, 950, 351, 313, 1613, 392, 400, 330, 7615, 950, 351, 5053, 19833, 950, 5307, 19508, 21, 8885, 400, 330, 426, 950, 263, 26155, 2044, 3717, 5634, 2113, 400, 330, 2310, 950, 225, 26155, 10562, 810, 21578, 101, 30, 281, 1294, 6657, 461, 16381, 10416, 4250, 26551, 324, 7305, 324, 2726, 699, 81, 1322, 81, 887, 370, 301, 400, 330, 853, 950, 263, 37, 30, 400, 330, 681, 950, 263, 313, 5823, 392, 400, 330, 1131, 950, 351, 313, 878, 392, 400, 330, 7615, 950, 351, 5053, 887, 950, 225, 37, 835, 400, 330, 12637, 950, 264, 26155, 3699, 34901, 2113, 400, 330, 426, 950, 263, 26155, 13367, 6660, 952, 3104, 2113, 324, 7305, 324, 2726, 699, 81, 1322, 81, 1449, 370, 301, 400, 330, 853, 950, 263, 35, 40, 30, 400, 330, 681, 950, 263, 313, 5823, 392, 400, 330, 1131, 950, 351, 313, 878, 392, 400, 330, 7615, 950, 351, 5053, 887, 950, 225, 37, 835, 400, 330, 426, 950, 263, 26155, 2708, 449, 6660, 952, 3104, 2113, 324, 7305, 324, 2726, 2895, 81, 1322, 370, 301, 400, 330, 853, 950, 263, 38, 30, 400, 330, 681, 950, 263, 313, 5823, 392, 400, 330, 1131, 950, 351, 313, 878, 392, 400, 330, 7615, 950, 351, 5053, 887, 950, 225, 35, 835, 400, 330, 12637, 950, 264, 26155, 3699, 12572, 101, 2113, 400, 330, 426, 950, 263, 26155, 13367, 1256, 3882, 3104, 2113, 324, 7305, 324, 2726, 2895, 81, 47201, 370, 301, 400, 330, 853, 950, 351, 5518, 400, 330, 681, 950, 263, 313, 955, 392, 400, 330, 1131, 950, 351, 313, 95, 668, 392, 400, 330, 7615, 950, 351, 5053, 19833, 950, 41449, 1732, 370, 26155, 3797, 11177, 12020, 12941, 2726, 17980, 370, 26155, 3797, 16105, 12941, 2726, 10097, 370, 26155, 3797, 7456, 7125, 2131, 15755, 400, 330, 426, 950, 263, 26155, 4049, 19915, 543, 2113, 324, 7305, 324, 2726 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 10, 10, 10, 10, 5, 5, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 14, 14, 12, 16, 16, 14, 18, 18, 18, 18, 13, 16, 16, 14, 18, 18, 18, 18, 18, 18, 13, 16, 16, 14, 18, 18, 18, 18, 13, 16, 16, 14, 18, 18, 18, 18, 18, 18, 13, 9, 9, 12, 12, 10, 10, 14, 14, 14, 14, 9, 9, 12, 12, 10, 10, 14, 14, 14, 14, 9, 9, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 14, 14, 12, 14, 14, 14, 9, 9, 12, 12, 10, 10, 14, 14, 14, 14, 9, 9, 12, 12, 10, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 12, 12, 10, 11, 9, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 14, 14, 12, 13, 11, 9, 9, 12, 12, 10, 10, 14, 14, 14, 9, 9, 12, 12, 10, 10, 14, 14, 14, 14, 14, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 9, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 14, 14, 12, 13, 11, 9, 9, 12, 12, 10, 10, 14, 14, 14, 14, 14, 14, 9, 9, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 12, 10, 11, 9, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 14, 14, 12, 13, 11, 9, 9, 12, 12, 10, 10, 14, 14, 14, 14, 9, 9, 12, 12, 10, 10, 14, 14, 14, 14, 14, 9, 9, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 12, 10, 10, 9, 9, 12, 12, 10, 10, 12, 12, 9, 9, 12, 12, 10, 10, 12, 12, 12, 9, 9, 12, 12, 10, 10, 14, 14, 12, 16, 16, 14, 18, 18, 18, 18, 13, 16, 16, 14, 18, 18, 18, 13, 16, 16, 14, 18, 18, 18, 18, 13, 9, 9, 12, 12, 10, 10, 14, 14, 14, 14, 9, 9, 7, 7 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 1, 2, 3, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 5, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 5, 5, 1, 2, 3, 3, 1, 2, 7, 7, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 1, 2, 5, 1, 1, 1, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 2, 9, 9, 1, 1, 1, 2, 3, 3, 1, 2, 11, 11, 1, 1, 1, 2, 3, 3, 2, 2, 1, 1, 1, 2, 3, 3, 3, 1, 2, 1, 1, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 5, 5, 1, 2, 3, 3, 1, 2, 7, 7, 1, 2, 1, 1, 1, 2, 3, 3, 1, 2, 9, 9, 1, 1, 1, 2, 3, 3, 1, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 1, 1, 1, 1, 1, 2, 5, 3, 3, 1, 2, 1, 2, 3, 3, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 5, 5, 1, 2, 3, 3, 1, 2, 7, 7, 1, 2, 1, 2, 2, 3, 3, 1, 2, 9, 9, 1, 1, 2, 3, 3, 1, 2, 11, 11, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 1, 1, 1, 1, 2, 7, 3, 3, 1, 2, 1, 2, 2, 3, 3, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 5, 5, 1, 2, 3, 3, 1, 2, 7, 7, 1, 2, 1, 2, 2, 3, 3, 1, 2, 9, 9, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 1, 1, 2, 9, 3, 3, 1, 2, 1, 2, 3, 3, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 5, 5, 1, 2, 3, 3, 1, 2, 7, 7, 1, 2, 1, 2, 2, 3, 3, 1, 2, 9, 9, 1, 1, 1, 2, 3, 3, 1, 2, 11, 11, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 1, 1, 2, 11, 3, 3, 1, 2, 1, 1, 3, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 5, 5, 1, 1, 2, 3, 3, 1, 2, 7, 7, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 2, 2, 1, 2, 5, 1, 1, 1, 2, 2, 3, 3, 1, 2, 9, 9, 1, 1, 1, 2, 3, 3, 2, 2 ]
[ 465, 2322, 203, 465, 273, 13035, 203, 1070, 273, 13035, 1188, 4118, 203, 102, 13035, 32, 1664, 5047, 346, 203, 589, 622, 81, 4519, 81, 5020, 26, 4519, 711, 284, 6793, 280, 225, 34, 284, 436, 1600, 328, 5035, 32, 3494, 2262, 291, 1600, 280, 1600, 32, 5729, 346, 291, 415, 313, 2310, 20, 328, 1600, 44, 324, 6793, 1454, 225, 35, 517, 225, 37, 291, 415, 313, 1311, 20, 328, 1600, 556, 313, 426, 20, 328, 1600, 44, 324, 6793, 1454, 225, 35, 517, 225, 37, 291, 415, 313, 1648, 20, 328, 1600, 556, 313, 4524, 20, 328, 1600, 556, 313, 770, 20, 328, 1600, 44, 324, 6793, 1454, 225, 35, 517, 225, 37, 291, 415, 313, 7895, 20, 328, 1600, 556, 313, 13351, 20, 328, 1600, 44, 324, 6793, 1454, 225, 35, 291, 415, 313, 1855, 20, 328, 1600, 44, 324, 6793, 1454, 225, 34, 32, 39, 291, 415, 313, 681, 20, 328, 1600, 44, 324, 6793, 1454, 225, 35, 291, 6793, 1454, 308, 1657, 26, 4519, 27, 429, 225, 36, 27, 517, 225, 39, 291, 415, 313, 33160, 20, 328, 1600, 44, 324, 6793, 1454, 225, 35, 284, 442, 6793, 203, 983, 280, 2430, 3699, 33, 887, 90, 833, 404, 33, 605, 31, 823, 1639, 20, 203, 1793, 2156, 440, 1267, 32, 4700, 392, 313, 83, 657, 619, 296, 44, 284, 296, 32, 1821, 440, 558, 30, 7044, 78, 96, 657, 284, 436, 4844, 81, 426, 328, 2322, 32, 26366, 26, 983, 711, 291, 415, 4939, 4135, 81, 2780, 20, 328, 4844, 81, 426, 44, 324, 4036, 291, 4844, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 983, 30, 4844, 81, 426, 27, 291, 436, 803, 81, 426, 328, 2322, 32, 26366, 26, 6175, 81, 983, 711, 324, 803, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 6175, 81, 983, 30, 803, 81, 426, 27, 324, 8436, 280, 4118, 32, 1070, 81, 761, 26, 761, 81, 983, 27, 324, 415, 330, 4519, 25, 328, 8436, 44, 400, 296, 32, 1821, 46508, 32, 2524, 2009, 761, 81, 426, 30, 596, 26, 371, 81, 4519, 81, 5020, 26, 12881, 710, 4519, 7698, 1130, 474, 2706, 96, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 4, 4, 3, 4, 4, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 8, 8, 6, 6, 5, 5, 5, 8, 8, 10, 9, 9, 10, 4, 4, 5, 9, 9, 7, 7, 6, 6, 9, 9, 7, 7, 5, 5, 5, 8, 8, 10, 9, 9, 10, 4, 4, 5, 10, 10, 8, 8, 7, 7, 10, 10, 8, 8, 6, 6, 9, 9, 7, 7, 5, 5, 5, 8, 8, 10, 9, 9, 10, 4, 4, 5, 9, 9, 7, 7, 6, 6, 9, 9, 7, 7, 5, 5, 5, 8, 8, 9, 4, 4, 5, 8, 8, 6, 6, 5, 5, 5, 8, 8, 9, 9, 9, 4, 4, 5, 8, 8, 6, 6, 5, 5, 5, 8, 8, 9, 4, 4, 6, 6, 11, 11, 12, 11, 9, 9, 10, 8, 7, 7, 8, 4, 4, 5, 8, 8, 6, 6, 5, 5, 5, 8, 8, 9, 2, 2, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 6, 8, 8, 8, 8, 6, 8, 8, 4, 4, 1, 1, 1, 5, 6, 5, 7, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 6, 5, 3, 3, 5, 8, 8, 8, 8, 6, 6, 7, 7, 5, 5, 5, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 8, 8, 8, 7, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 11, 11, 10, 6, 6, 8, 8, 10, 11, 11, 11, 10, 11, 11, 11, 10, 6, 6, 7, 10, 10, 8, 8, 7, 7, 7, 11, 12, 11, 14, 15, 14, 16, 16, 16, 15, 15, 17, 19, 19, 19, 19, 19, 19, 21, 20, 22, 22, 15, 12, 12, 15, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 5, 5, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 5, 5, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 5, 5, 3, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 3, 0, 0, 0, 2, 2, 2, 5, 5, 4, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 2, 5, 5, 5, 1, 2, 1, 1, 5, 5, 5, 0, 0, 2, 2, 2, 5, 5, 6, 1, 2, 1, 1, 6, 6, 6, 0, 0, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 5, 5, 8, 1, 2, 1, 1, 8, 8, 8, 0, 0, 2, 4, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 6, 6, 6, 0, 2, 1, 1, 1, 1, 0, 0, 2, 3, 3, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4395, 1188, 7841, 203, 465, 7138, 203, 1070, 46032, 1188, 1188, 81, 1647, 203, 1070, 1519, 1188, 5380, 619, 1519, 203, 465, 3995, 203, 465, 316, 203, 465, 15798, 203, 465, 11171, 203, 465, 343, 2632, 203, 1070, 30371, 1188, 8471, 203, 1070, 46624, 32, 5558, 32, 22765, 1188, 5601, 203, 1070, 8527, 32, 1262, 32, 2613, 1188, 31764, 30, 8073, 2597, 10564, 924, 203, 1070, 13197, 106, 32, 1262, 32, 1356, 1188, 1779, 1515, 203, 1070, 816, 1521, 32, 4151, 1188, 9494, 30, 9494, 720, 30, 9494, 882, 7167, 203, 1070, 816, 1647, 32, 7632, 81, 1647, 1188, 22509, 4327, 203, 1070, 816, 1647, 32, 1647, 2157, 1188, 7703, 2780, 2759, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11452, 1188, 308, 284, 6324, 27981, 30, 3036, 19610, 924, 30, 284, 30095, 1097, 924, 30, 30095, 13018, 924, 30, 284, 18751, 15271, 13903, 924, 203, 27, 203, 1070, 32400, 81, 3494, 32, 16520, 32, 25102, 1188, 22509, 953, 30, 22509, 16464, 30, 6575, 6772, 16464, 30, 3036, 3350, 30, 7089, 606, 203, 1070, 281, 9995, 81, 3494, 32, 25102, 1188, 14249, 74, 2227, 6772, 16464, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 29635, 1188, 34274, 723, 13976, 203, 1070, 816, 1647, 32, 106, 81, 1647, 1188, 1593, 2459, 13976, 203, 1070, 816, 1647, 32, 4151, 1188, 2821, 30, 3717, 6558, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 2998, 81, 17022, 32, 2998, 1188, 18968, 16396, 2459, 2780, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 858, 81, 1647, 2157, 1188, 1505, 81, 2040, 81, 7632, 81, 1959, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 2998, 81, 17022, 1188, 6575, 953, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 1505, 81, 17022, 81, 13842, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 17022, 81, 3841, 1188, 488, 31715, 81, 3624, 81, 5493, 30, 488, 31715, 81, 8472, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 2304, 1188, 4395, 81, 3007, 81, 1070, 81, 1260, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 3176, 81, 1338, 1188, 10609, 1120, 13976, 203, 23833, 81, 2474, 81, 3561, 37013, 280, 7703, 2780, 2759, 32, 10094, 558, 32, 16140, 203, 23833, 81, 2474, 81, 44886, 28775, 280, 7703, 2780, 2759, 32, 10094, 558, 32, 14554, 203, 50, 2437, 463, 17022, 683, 203, 823, 18968, 2459, 1006, 26, 18986, 32, 7233, 711, 284, 5881, 284, 886, 1695, 739, 432, 3312, 10288, 4726, 26292, 312, 3082, 341, 33, 32751, 1510, 1159, 284, 7041, 32, 2030, 9585, 5799, 4491, 4467, 461, 20080, 3026, 2685, 1169, 284, 3312, 11361, 32, 284, 5881, 284, 31649, 81, 15842, 81, 6191, 280, 301, 291, 330, 2035, 950, 488, 31715, 81, 8472, 30, 291, 330, 1199, 950, 330, 858, 81, 106, 1647, 370, 291, 330, 625, 950, 488, 31715, 81, 3624, 81, 5493, 30, 291, 330, 4170, 950, 330, 1647, 2157, 109, 34, 16805, 1643, 26, 6572, 32, 6572, 38, 922, 6949, 2867, 39, 5727, 284, 320, 284, 2297, 2157, 81, 2184, 280, 301, 291, 330, 1536, 81, 823, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 3, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 3, 4, 0, 2, 4, 4, 6, 6, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 5, 5, 6, 6, 9, 9, 7, 8, 8, 8, 6, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 6, 6, 9, 9, 7, 8, 8, 8, 8, 8, 6, 6, 6, 9, 9, 7, 11, 11, 11, 11, 11, 10, 9, 14, 13, 14, 14, 13, 12, 10, 12, 10, 6, 6, 3, 3, 6, 6, 6, 5, 5, 6, 6, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 11, 11, 0, 0, 0, 0, 12, 12, 0, 1, 2, 1, 4, 12, 12, 0, 0, 13, 13, 0, 1, 2, 13, 13, 13, 13, 0, 13, 13, 0, 0, 0, 14, 14, 0, 1, 2, 2, 2, 14, 14, 0, 0, 15, 15, 0, 1, 2, 2, 15, 15, 0, 0, 0, 16, 16, 0, 1, 2, 2, 1, 4, 16, 16, 16, 16, 0, 16, 16, 0, 0, 16, 16, 16, 0, 0, 16, 16, 0, 0, 16, 16, 16, 0, 0, 0, 16, 16, 0, 17, 17, 0, 0, 1, 2, 1, 4, 17, 17, 0, 17, 17, 0, 17, 17, 0, 0, 17, 17, 0, 17, 17, 0, 0, 18, 18, 0, 0, 0, 1, 2, 18, 18, 0, 0, 0, 0, 0, 19, 19, 0, 1, 2, 2, 1, 4, 19, 19, 0, 0, 0, 20, 20, 0, 1, 2, 2, 2, 20, 20, 0, 0, 0, 21, 21, 0, 1, 2, 21, 21, 21, 21, 0, 0, 22, 22, 0, 1, 2, 2, 1, 4, 4, 4, 1, 6, 22, 22, 0, 0, 0, 0, 23, 23, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 6, 23, 23, 0, 0, 0, 0, 0, 0, 0, 24, 24, 0, 1, 2, 2, 1, 4, 4, 4, 24, 24, 0, 0, 25, 25, 0, 1, 2, 2, 1, 4, 1, 6, 25, 25, 0, 0, 0, 0, 0, 26, 26, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 26, 26, 0, 0, 0, 0, 0, 26, 26, 0, 0, 0, 0, 27, 27, 0, 1, 2, 2, 1, 4, 1, 6, 27, 27, 0, 0, 0, 0, 0, 0, 0, 28, 28, 0, 1, 2, 2, 1, 4, 4, 4, 28, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 31, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 13625, 1188, 23507, 30, 20393, 4806, 203, 1270, 44, 284, 645, 26313, 1188, 559, 4631, 203, 7343, 29986, 44, 10065, 443, 559, 4631, 44, 291, 665, 1156, 1403, 3207, 784, 711, 324, 3097, 291, 665, 1156, 4775, 3207, 784, 30, 13489, 81, 681, 30, 13489, 81, 853, 30, 27374, 711, 324, 3097, 203, 1270, 44, 10065, 645, 13625, 1188, 33953, 203, 7343, 29986, 44, 284, 645, 638, 5043, 32, 8234, 81, 2665, 1188, 33953, 203, 1070, 638, 5043, 32, 25931, 1188, 3850, 3494, 30, 3850, 2810, 30, 19430, 37, 203, 505, 464, 505, 280, 2107, 20324, 631, 10562, 2879, 370, 330, 5068, 2644, 7167, 785, 203, 81, 1883, 280, 1300, 346, 203, 823, 43321, 631, 10562, 2879, 26, 12907, 4806, 711, 284, 9095, 24851, 280, 33953, 284, 665, 1156, 1664, 3207, 784, 30, 1769, 891, 47, 35, 34, 30, 27160, 81, 1298, 47, 2521, 711, 291, 630, 1114, 1449, 891, 280, 1769, 891, 291, 630, 32, 19924, 81, 1298, 280, 27160, 81, 1298, 291, 630, 1114, 2630, 280, 630, 32, 2879, 24851, 346, 291, 630, 32, 809, 280, 559, 4631, 346, 284, 665, 1156, 33644, 3207, 784, 30, 1202, 711, 291, 623, 630, 32, 809, 44, 324, 1623, 280, 630, 1114, 2630, 32, 3235, 26, 678, 27, 324, 630, 1114, 2630, 77, 678, 79, 280, 1623, 324, 442, 1623, 284, 665, 1156, 470, 1094, 3207, 784, 30, 1202, 30, 786, 711, 291, 7050, 3557, 318, 81, 853, 280, 617, 1883, 291, 623, 630, 32, 809, 44, 324, 7050, 3557, 318, 81, 853, 280, 630, 1114, 2630, 32, 371, 26, 678, 30, 617, 1883, 27, 324, 630, 1114, 2630, 77, 678, 79, 280, 786, 324, 415, 2069, 26, 784, 1114, 2630, 27, 848, 630, 1114, 1449, 891, 44, 400, 617, 678, 30, 7050, 3557, 318, 81, 853, 280, 630, 1114, 2630, 32, 3235, 1094, 26, 2135, 47, 2700, 27, 291, 415, 630, 32, 19924, 81, 1298, 461, 7050, 3557, 318, 81, 853, 438, 646, 617, 1883, 44, 324, 630, 32, 19924, 81, 1298, 26, 5092, 3557, 318, 81, 853, 27, 284, 665, 1156, 4025, 1094, 3207, 784, 30, 1202, 711, 291, 623, 630, 32, 809, 44, 324, 786, 280, 630, 1114, 2630, 32, 3235, 26, 678, 27, 291, 415, 630, 32, 19924, 81, 1298, 44, 324, 630, 32, 19924, 81, 1298, 26, 853, 27, 284, 665, 1156, 1657, 3207, 784, 711, 291, 623, 630, 32, 809, 44, 324, 442, 2069, 26, 784, 1114, 2630, 27, 284, 665, 1156, 1731, 3207, 784, 711, 291, 3636, 22210, 463, 21863, 2288, 458, 443, 438, 39955, 372, 526, 3664, 4770, 11834, 284, 665, 4233, 26, 784, 711, 291, 623, 630, 32, 809, 44, 324, 2078, 280, 1149, 26, 1731, 2810, 26, 784, 1114, 2630, 490, 324, 630, 1114, 2630, 32, 3815, 346, 291, 415, 630, 32, 19924, 81, 1298, 44, 324, 436, 786, 328, 2078, 44, 400, 630, 32, 19924, 81, 1298, 26, 853, 27, 284, 665, 5036, 26, 784, 711, 291, 623, 630, 32, 809, 44, 324, 442, 1149, 26, 1731, 3494, 26, 784, 1114, 2630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 5, 1, 2, 2, 2, 2, 2, 4, 5, 4, 4, 4, 6, 7, 7, 8, 7, 6, 6, 5, 5, 6, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 6, 6, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 4, 7, 6, 7, 7, 7, 4, 4, 0, 1, 1, 4, 3, 4, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 5, 6, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 6, 6, 10, 11, 9, 10, 9, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 6, 6, 7, 4, 4, 5, 8, 9, 5, 5, 5, 9, 9, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 11, 10, 6, 6, 10, 11, 9, 10, 9, 8, 8, 6, 6, 7, 10, 12, 11, 12, 10, 8, 8, 9, 10, 10, 7, 7, 7, 12, 11, 11, 12, 12, 12, 12, 10, 10, 13, 14, 12, 13, 13, 12, 14, 13, 14, 12, 4, 4, 5, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 7, 7, 7, 8, 5, 5, 5, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 5, 5, 5, 7, 9, 11, 10, 11, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 5, 5, 5, 8, 8, 10, 12, 12, 12, 14, 13, 14, 12, 6, 6, 10, 11, 9, 10, 9, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 11, 12, 12, 12, 11, 12, 11, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 5, 5, 5, 7, 9, 11, 11, 11, 13, 12, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 3, 3, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 1, 1, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 1, 2, 2, 2, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 7, 7, 1, 1, 1, 2, 1, 1, 2, 7, 7, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 2, 0, 0, 5, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 2, 0, 2, 0, 0, 0, 3, 3, 2, 4, 4, 3, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 4, 4, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 2, 0, 2, 0, 0, 0, 3, 3, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 6, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 2, 1, 2, 7, 7, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 2, 1, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 8, 2, 1, 2, 8, 8, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2 ]