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

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
depths
listlengths
512
512
sibling_idxs
listlengths
512
512
[ 1070, 638, 8774, 1188, 21371, 13018, 1006, 203, 1070, 4377, 5646, 32, 94, 874, 32, 5000, 1188, 13467, 1969, 203, 1070, 4377, 5646, 32, 94, 874, 32, 3007, 81, 2172, 1188, 12515, 6646, 1969, 203, 1070, 4377, 5646, 32, 13080, 32, 2837, 81, 2393, 1188, 7984, 2681, 1969, 203, 1070, 4377, 5646, 32, 94, 874, 32, 7632, 81, 1338, 1188, 22509, 1120, 1969, 203, 1070, 4377, 18972, 32, 7632, 1188, 22509, 11878, 30, 1593, 2227, 11878, 5337, 203, 4424, 39, 81, 26803, 280, 428, 284, 330, 641, 555, 101, 37, 32, 13808, 32, 508, 33, 16520, 31, 7632, 31, 11966, 33, 16520, 31, 11316, 33, 318, 74, 31, 1852, 35, 36, 31, 85, 1396, 31, 35, 81, 35, 34, 34, 32, 317, 38, 370, 284, 330, 641, 555, 101, 37, 32, 13808, 32, 508, 33, 16520, 31, 7632, 31, 11966, 33, 16520, 31, 11316, 33, 318, 74, 31, 1852, 35, 36, 31, 85, 1396, 31, 35, 81, 35, 34, 34, 32, 1840, 95, 370, 284, 330, 641, 555, 101, 37, 32, 13808, 32, 508, 33, 16520, 31, 7632, 31, 11966, 33, 16520, 31, 11316, 33, 318, 74, 31, 1852, 35, 36, 31, 85, 1396, 31, 35, 81, 35, 34, 34, 32, 817, 104, 370, 203, 79, 203, 4424, 39, 81, 26803, 81, 521, 27932, 280, 428, 284, 330, 641, 555, 101, 37, 32, 13808, 32, 508, 33, 16520, 31, 7632, 31, 11966, 33, 16520, 31, 11316, 33, 318, 74, 31, 1852, 35, 36, 31, 85, 1396, 31, 35, 81, 35, 34, 34, 32, 317, 43, 43, 370, 203, 79, 203, 4424, 39, 81, 26580, 280, 301, 284, 330, 11204, 81, 314, 81, 35, 81, 34, 950, 2550, 284, 330, 11204, 81, 314, 81, 34, 81, 41, 39, 950, 2550, 284, 330, 11204, 81, 314, 81, 35, 81, 36, 39, 950, 2550, 284, 330, 11204, 81, 314, 81, 35, 81, 39, 950, 2550, 284, 330, 916, 39, 81, 11250, 950, 5780, 39, 81, 26803, 203, 111, 203, 24010, 81, 4424, 39, 81, 26580, 280, 301, 284, 330, 916, 39, 81, 11250, 950, 5780, 39, 81, 26803, 203, 111, 203, 823, 13467, 1761, 1006, 26, 10189, 13018, 1006, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 6076, 1761, 1006, 30, 630, 547, 23741, 346, 291, 630, 32, 5000, 280, 13467, 1969, 26, 784, 32, 7128, 27, 291, 630, 32, 3007, 81, 2172, 280, 12515, 6646, 1969, 26, 784, 32, 7128, 27, 291, 630, 32, 7632, 81, 1338, 81, 1637, 280, 22509, 1120, 1969, 26, 784, 32, 7128, 30, 630, 32, 7632, 81, 314, 27, 291, 630, 32, 7632, 81, 12940, 280, 22509, 11878, 26, 324, 630, 32, 7632, 81, 1338, 710, 1088, 2188, 630, 32, 7632, 81, 1338, 710, 2171, 2188, 324, 630, 32, 7632, 81, 1338, 710, 1945, 2188, 630, 32, 7632, 81, 1338, 710, 2751, 81, 426, 785, 291, 829, 291, 630, 32, 4519, 280, 2149, 291, 630, 32, 3512, 280, 1665, 284, 665, 19202, 81, 452, 81, 5000, 26, 784, 711, 291, 630, 1114, 3789, 81, 7632, 81, 12940, 346, 291, 630, 1114, 20492, 81, 452, 81, 7632, 1396 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 4, 3, 4, 1, 1, 3, 0, 1, 1, 4, 3, 4, 4, 3, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 3, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 4, 3, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 4, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 4, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 10, 9, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 10, 11, 11, 11, 9, 11, 11, 8, 10, 11, 11, 11, 9, 11, 11, 8, 8, 10, 11, 11, 11, 9, 11, 11, 8, 10, 11, 11, 11, 9, 11, 11, 11, 11, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 5, 5, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 10, 10, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 3, 1, 2, 1, 1, 0, 2, 2, 2, 5, 1, 2, 1, 0, 2, 2, 2, 7, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2 ]
[ 1070, 7744, 1188, 1245, 35, 34, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 2194, 34747, 203, 1070, 37089, 81, 23349, 32, 1903, 1188, 7422, 619, 343, 2003, 3192, 203, 1070, 8616, 86, 1188, 8616, 86, 203, 1070, 345, 4430, 32, 9777, 32, 1439, 1188, 27220, 81, 4249, 4855, 69, 203, 823, 7422, 26, 23349, 3192, 711, 284, 665, 5742, 26, 784, 711, 291, 623, 8616, 86, 32, 7212, 463, 1903, 32, 4526, 7831, 324, 3276, 280, 2599, 26, 3192, 30, 630, 547, 4526, 346, 324, 8616, 86, 32, 23936, 463, 1903, 32, 452, 1253, 370, 3276, 32, 452, 1253, 27, 324, 442, 3276, 203, 589, 617, 2433, 81, 853, 81, 1170, 81, 3419, 26, 2067, 30, 6699, 47, 2521, 30, 2804, 47, 2521, 711, 284, 415, 2830, 32, 297, 81, 11215, 81, 1286, 81, 979, 81, 9493, 2262, 291, 442, 225, 34, 284, 415, 6699, 461, 646, 6699, 32, 2598, 274, 545, 304, 44, 291, 810, 81, 3419, 280, 6699, 32, 314, 284, 813, 44, 291, 810, 81, 3419, 280, 225, 34, 284, 1596, 44, 291, 442, 18623, 26, 2067, 30, 2804, 547, 371, 26, 3419, 47, 1170, 81, 3419, 547, 853, 284, 2940, 2194, 34747, 44, 291, 442, 225, 34, 203, 589, 622, 81, 3235, 15849, 26, 2067, 30, 6699, 47, 2521, 711, 284, 442, 617, 2433, 81, 853, 81, 1170, 81, 3419, 26, 2067, 30, 6699, 47, 3419, 30, 2804, 1057, 3235, 15849, 683, 203, 589, 622, 81, 9380, 299, 26, 2067, 30, 6699, 47, 2521, 711, 284, 442, 617, 2433, 81, 853, 81, 1170, 81, 3419, 26, 2067, 30, 6699, 47, 3419, 30, 2804, 1057, 9380, 299, 683, 203, 589, 622, 81, 9377, 26, 2067, 711, 284, 9760, 280, 1769, 26, 751, 35, 34, 26, 35, 474, 622, 81, 3235, 15849, 26, 2067, 3662, 225, 35, 32, 34, 27, 284, 415, 2830, 32, 1517, 328, 27220, 81, 4249, 4855, 69, 44, 291, 9760, 10439, 225, 38, 284, 442, 9760, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 10, 9, 10, 9, 11, 11, 11, 11, 5, 5, 8, 8, 12, 13, 12, 12, 12, 11, 10, 6, 6, 10, 9, 10, 9, 11, 11, 11, 11, 11, 9, 10, 11, 11, 9, 6, 6, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 5, 6, 2, 2, 3, 4, 4, 5, 6, 7, 7, 7, 7, 3, 3, 3, 7, 7, 6, 6, 7, 8, 3, 3, 4, 4, 4, 8, 8, 7, 7, 8, 2, 2, 3, 3, 3, 5, 10, 11, 10, 10, 10, 9, 8, 10, 9, 10, 10, 10, 8, 7, 3, 3, 4, 5, 4, 4, 4, 6, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 6, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 6, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 8, 8, 8, 8, 10, 9, 9, 11, 11, 11, 11, 12, 11, 6, 7, 7, 7, 6, 2, 2, 3, 5, 6, 4, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 7, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 3, 3, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 5, 5, 2, 1, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 3, 3, 2, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 6, 6, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 4, 4, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 3, 1, 3, 3, 3, 0, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 0, 8, 8, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 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 ]
[ 465, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 9042, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 669, 81, 2592, 463, 1174, 81, 7948, 1567, 370, 330, 3576, 370, 2855, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1536, 26409, 1769, 81, 1322, 47, 35, 36, 42, 30, 11771, 47, 1815, 471, 2855, 4986, 81, 1536, 47, 2700, 27, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 2592, 463, 1174, 81, 7948, 1567, 370, 330, 3576, 683, 284, 4549, 280, 301, 291, 330, 2468, 32, 7035, 950, 301, 324, 330, 4232, 950, 5053, 24576, 950, 313, 12605, 297, 81, 47896, 370, 330, 426, 683, 392, 330, 1473, 81, 426, 950, 330, 10914, 8885, 324, 330, 297, 81, 47896, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 39471, 370, 5518, 5053, 1536, 950, 330, 2700, 370, 330, 1199, 81, 1055, 950, 330, 1815, 45306, 324, 330, 297, 81, 17220, 81, 7035, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 39471, 370, 5518, 5053, 1536, 950, 330, 2700, 370, 330, 1199, 81, 1055, 950, 330, 1815, 45306, 324, 330, 9328, 81, 37, 35, 40, 40, 81, 35, 81, 83, 36, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 36, 370, 330, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 9328, 81, 37, 35, 40, 40, 81, 35, 81, 83, 37, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 37, 370, 330, 1693, 950, 330, 1815, 370, 330, 1199, 81, 1055, 950, 330, 1815, 45306, 324, 330, 9328, 81, 37, 35, 40, 40, 81, 35, 81, 10125, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 17991, 12470, 30400, 370, 5518, 5053, 1693, 950, 330, 1815, 370, 330, 1199, 81, 1055, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 35, 36, 42, 45306, 324, 330, 1216, 444, 81, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 35, 36, 42, 18143, 291, 801, 291, 330, 2393, 32, 1363, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 1564, 8885, 324, 330, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 42, 34, 45306, 324, 330, 11893, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 46046, 1176, 370, 5518, 5053, 452, 950, 313, 494, 710, 2393, 32, 7040, 785, 392, 330, 7919, 46819 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 9, 11, 11, 10, 11, 11, 11, 9, 9, 10, 11, 9, 7, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 10, 13, 13 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 0, 7, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 2, 5, 1, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1 ]
[ 465, 1619, 1356, 203, 465, 1933, 203, 465, 31074, 203, 465, 1133, 203, 465, 4395, 203, 1070, 2322, 315, 32, 1163, 1188, 8444, 203, 465, 894, 4280, 203, 1070, 1168, 33367, 32, 4867, 32, 4783, 1188, 337, 4849, 81, 1356, 203, 1070, 1168, 33367, 32, 9081, 1188, 7663, 1363, 619, 1447, 81, 1872, 203, 1070, 1168, 33367, 32, 5558, 32, 27517, 32, 4867, 1188, 27740, 81, 941, 33367, 81, 4867, 203, 1070, 1168, 33367, 32, 4882, 1188, 1695, 203, 5408, 4547, 567, 81, 23250, 81, 7498, 280, 225, 35, 34, 203, 65, 5767, 81, 8146, 779, 280, 330, 34, 34, 34, 34, 34, 40, 36, 43, 37, 39, 39, 84, 40, 43, 38, 37, 25, 203, 65, 5767, 81, 8146, 779, 81, 34, 74, 280, 330, 34, 106, 25, 474, 546, 5767, 81, 8146, 779, 203, 823, 2108, 64, 735, 6143, 1761, 26, 1439, 32, 1761, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 64, 735, 6143, 1761, 30, 630, 547, 23741, 346, 291, 630, 32, 669, 20253, 26, 4687, 32, 14594, 32, 4534, 27, 291, 630, 32, 669, 20253, 26, 3613, 32, 2675, 32, 4048, 464, 27, 291, 8444, 32, 14594, 32, 470, 81, 7106, 463, 8358, 81, 7878, 370, 4985, 330, 941, 33367, 32, 26878, 32, 2282, 32, 8358, 32, 3106, 81, 9539, 683, 291, 8444, 32, 14594, 32, 470, 81, 7106, 463, 2035, 370, 330, 11215, 31, 2035, 683, 291, 623, 1619, 1356, 32, 15377, 26, 324, 4395, 32, 2675, 32, 1473, 26, 1538, 101, 81, 1356, 32, 65, 5767, 13483, 30, 330, 371, 81, 31113, 550, 81, 314, 370, 4985, 442, 81, 853, 47, 65, 5767, 81, 8146, 779, 471, 324, 4395, 32, 2675, 463, 4817, 32, 44239, 649, 426, 370, 442, 81, 853, 1057, 11215, 31, 2035, 1425, 324, 4395, 32, 2675, 463, 941, 33367, 32, 26878, 32, 2282, 32, 5837, 299, 1851, 4564, 5556, 330, 8222, 5757, 7497, 299, 1853, 1425, 324, 4395, 32, 2675, 463, 941, 33367, 32, 4867, 32, 8358, 32, 4152, 4144, 1078, 2554, 683, 291, 829, 619, 308, 371, 81, 31113, 550, 81, 314, 30, 3226, 349, 649, 426, 30, 1090, 48624, 1851, 30, 1603, 81, 8358, 81, 1237, 711, 324, 10306, 280, 5053, 4032, 89, 81, 839, 950, 330, 4032, 89, 81, 839, 370, 2855, 330, 2388, 81, 4313, 950, 330, 11215, 81, 5098, 370, 2855, 330, 41809, 81, 7568, 950, 225, 35, 111, 324, 630, 32, 4867, 280, 27740, 81, 941, 33367, 81, 4867, 32, 3567, 53, 6515, 33367, 6143, 14605, 5321, 27, 324, 630, 32, 5837, 299, 1851, 280, 48624, 1851, 324, 630, 32, 1293, 81, 8358, 81, 1237, 280, 1603, 81, 8358, 81, 1237, 203, 823, 2108, 64, 735, 6143, 26, 1006, 64, 735, 6143, 1761, 711, 284, 665, 617, 5522, 81, 3613, 26, 784, 711, 291, 354, 325, 81, 11170, 280, 428, 1538, 101, 81, 1356, 32, 72, 325, 3437, 463, 625, 35, 370, 330, 35, 370, 330, 314, 31, 35, 370, 330, 4229, 31, 35, 370, 9474, 630, 32, 4867, 32, 410, 81, 839, 471, 3486, 337, 4849, 81, 1356, 32, 72 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 3, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 8, 7, 10, 9, 10, 8, 9, 7, 4, 4, 7, 8, 8, 7, 10, 9, 10, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 4, 4, 5, 11, 10, 11, 10, 10, 10, 13, 14, 12, 13, 12, 14, 14, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 13, 14, 14, 14, 14, 14, 12, 10, 10, 12, 13, 12, 14, 14, 14, 14, 14, 14, 12, 14, 14, 13, 15, 15, 15, 15, 10, 10, 12, 13, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 10, 10, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 8, 8, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 10, 11, 10, 10, 11, 11, 11, 11, 10, 5, 5, 8, 8, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 11, 9, 6, 6, 9, 10, 8, 8, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 12, 10, 6, 6, 9, 10, 10, 10, 8, 8, 9, 6, 6, 9, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 10, 10, 10, 10, 9, 10, 10, 10, 9, 11, 11, 11, 9, 11, 11, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 9, 9, 11, 12, 10, 11, 11, 11, 9, 7, 7, 10, 10, 10, 9, 10 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 3, 3, 2, 2, 0, 9, 9, 0, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 0, 0, 0, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 14, 14, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 14, 14, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 5, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 0, 5, 0, 0, 7, 7, 7, 7, 0, 5, 5, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 3, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 2, 2, 0, 0, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 15, 15, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 15, 15, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 9, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2 ]
[ 1070, 31411, 1188, 14556, 203, 2319, 81, 20232, 280, 14556, 32, 2319, 81, 20232, 203, 2319, 81, 54, 3551, 280, 14556, 32, 2319, 81, 54, 3551, 203, 589, 10847, 81, 678, 81, 1070, 81, 761, 26, 678, 761, 711, 284, 16870, 280, 2156, 26, 678, 761, 30, 330, 100, 683, 284, 4845, 280, 16870, 32, 850, 346, 284, 1202, 5210, 280, 14556, 32, 944, 81, 2055, 678, 26, 8861, 32, 3539, 2319, 81, 38261, 30, 4845, 27, 284, 442, 1202, 5210, 203, 589, 10847, 81, 6989, 81, 1070, 81, 761, 26, 6989, 761, 711, 284, 16870, 280, 2156, 26, 6989, 761, 30, 330, 100, 683, 284, 4845, 280, 16870, 32, 850, 346, 284, 6445, 280, 14556, 32, 944, 81, 15324, 26, 8861, 32, 3539, 2319, 81, 38261, 30, 4845, 27, 284, 442, 6445, 203, 589, 1487, 31338, 26, 678, 81, 681, 30, 7030, 711, 284, 298, 678, 280, 14556, 32, 66, 953, 346, 284, 298, 678, 32, 5536, 81, 678, 26, 678, 81, 681, 30, 7030, 27, 284, 442, 298, 678, 203, 589, 1487, 9630, 1104, 26, 39499, 30, 19272, 347, 954, 39, 392, 1115, 426, 711, 284, 3616, 280, 14556, 32, 74, 39, 34, 43, 7635, 346, 284, 1361, 92, 280, 3616, 32, 371, 81, 6250, 346, 284, 436, 308, 678, 30, 853, 27, 328, 636, 32, 3028, 2262, 291, 39506, 26, 29842, 30, 1202, 30, 786, 27, 284, 3616, 32, 470, 81, 36122, 26, 39499, 27, 284, 3616, 32, 1333, 26, 39499, 30, 19272, 27, 284, 442, 3616, 203, 589, 1487, 9548, 26, 2403, 30, 308, 32890, 9630, 30, 31591, 953, 471, 4551, 30, 308, 1206, 5658, 30, 646, 5125, 471, 19272, 347, 954, 39, 10280, 284, 6445, 280, 14556, 32, 74, 39, 34, 43, 346, 284, 6445, 32, 470, 81, 3542, 81, 2171, 26, 3542, 27, 284, 6445, 32, 13945, 1003, 81, 16385, 81, 1206, 5658, 26, 1206, 5658, 27, 284, 6445, 32, 13945, 1003, 81, 16385, 81, 1206, 5125, 26, 1206, 5125, 27, 284, 6445, 32, 470, 81, 32890, 26, 32890, 9630, 32, 371, 81, 6250, 1157, 284, 6445, 32, 470, 81, 6250, 26, 2403, 32, 371, 81, 6250, 1157, 284, 6445, 32, 470, 81, 36122, 26, 2403, 32, 371, 81, 36122, 1157, 284, 6445, 32, 1333, 26, 32890, 953, 30, 19272, 27, 284, 442, 6445, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 2, 2, 3, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 7, 6, 6, 8, 8, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 6, 7, 7, 7, 7, 6, 8, 7, 8, 8, 8, 8, 6, 6, 6, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 7, 6, 6, 8, 8, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 8, 7, 8, 8, 8, 8, 6, 6, 6, 2, 2, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 5, 4, 4, 6, 7, 7, 6, 2, 2, 6, 5, 6, 6, 6, 5, 6, 6, 6, 5, 5, 5, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 5, 5, 5, 2, 4, 2, 1, 1, 4, 4, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 5, 4, 5, 4, 3, 3, 5, 6, 5, 3, 3, 7, 8, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 6, 5, 2, 2, 5, 6, 5, 6, 5, 5, 5, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 2, 4, 4, 3, 3, 4, 3, 2, 2, 2, 4, 4, 3, 3, 4, 3, 2, 3, 5, 5, 5, 1, 1, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 2, 2, 5, 6, 6, 6, 5, 8, 8, 7, 8, 8, 8, 7, 2, 2, 5, 6, 6, 6, 5, 8, 7, 8, 8, 8, 7, 2, 2, 5, 6, 6, 6, 5, 8, 7, 8, 8, 8, 7, 2, 2, 5, 6, 5, 6, 6, 5, 5, 5, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 0, 5, 5, 1, 2, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 3, 1, 1, 2, 2, 1, 2, 6, 6, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 3, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 5, 0, 7, 7, 1, 2, 1, 2, 2, 1, 1, 3, 3, 3, 3, 2, 2, 2, 1, 1, 7, 7, 3, 7, 2, 9, 1, 1, 2, 7, 7, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 309, 27392, 1237, 1188, 319, 203, 465, 5237, 30, 1133, 203, 325, 646, 5237, 32, 6118, 77, 35, 44, 2786, 203, 202, 1216, 313, 6772, 44, 4262, 894, 32, 978, 428, 15979, 79, 2467, 8153, 78, 96, 20, 203, 202, 1216, 313, 2031, 884, 1924, 203, 202, 1216, 4825, 90, 30, 769, 2035, 333, 8472, 5213, 102, 3517, 372, 3233, 86, 821, 3408, 35733, 20, 203, 202, 1216, 4825, 98, 30, 769, 625, 78, 102, 78, 102, 3517, 372, 3233, 86, 821, 2601, 15881, 20, 203, 202, 1216, 4825, 91, 30, 769, 1055, 333, 20009, 5213, 102, 1903, 3919, 1650, 26, 307, 27, 3191, 810, 35153, 20, 203, 202, 1216, 4825, 101, 30, 769, 3323, 1170, 333, 17793, 5213, 1421, 373, 8001, 810, 330, 17793, 7362, 203, 202, 1216, 4825, 83, 30, 769, 1813, 78, 102, 78, 102, 539, 330, 2872, 1346, 3594, 25, 9215, 2926, 20, 203, 202, 1216, 4825, 84, 30, 769, 4398, 78, 102, 78, 102, 539, 330, 4398, 2467, 25, 9215, 2926, 20, 203, 202, 1216, 4825, 87, 30, 769, 17042, 78, 102, 78, 102, 539, 330, 17042, 2467, 25, 9215, 2926, 20, 203, 202, 1216, 4825, 88, 30, 769, 2029, 333, 11486, 5213, 102, 2029, 810, 3879, 330, 11486, 25, 308, 1536, 438, 330, 1363, 81, 314, 27059, 203, 202, 1216, 4825, 104, 30, 769, 853, 333, 2715, 5213, 102, 669, 2434, 372, 6660, 330, 1363, 81, 314, 25, 2078, 1149, 20, 203, 202, 1216, 4825, 89, 30, 769, 24850, 333, 17793, 5213, 102, 1363, 8001, 810, 330, 17793, 7362, 203, 202, 1216, 4825, 5360, 42735, 1363, 3323, 333, 17793, 5213, 1421, 373, 8351, 810, 330, 17793, 7362, 203, 202, 1216, 4825, 94, 30, 769, 3248, 333, 7498, 5213, 102, 19042, 22466, 8001, 308, 1536, 438, 225, 36, 34, 4731, 203, 202, 3731, 32, 4775, 26, 34, 27, 203, 99, 280, 4247, 203, 2816, 280, 358, 4964, 81, 15895, 81, 2320, 203, 2035, 280, 330, 5007, 25, 203, 625, 280, 225, 43, 37, 35, 36, 203, 1055, 280, 32448, 203, 2029, 748, 280, 330, 1363, 81, 314, 25, 203, 2029, 9359, 280, 1605, 203, 3323, 1170, 280, 4247, 203, 24850, 280, 4247, 203, 1363, 3323, 280, 3770, 1363, 5585, 25, 203, 3248, 280, 225, 34, 203, 91, 280, 225, 35, 203, 5525, 308, 91, 46, 1657, 26, 3731, 32, 6118, 8531, 203, 202, 626, 280, 5237, 32, 6118, 77, 91, 79, 203, 202, 325, 1638, 10844, 31, 90, 25, 556, 1638, 10844, 287, 2035, 950, 357, 202, 91, 1454, 225, 35, 357, 202, 2035, 280, 5237, 32, 6118, 77, 91, 79, 203, 202, 12106, 1638, 10844, 31, 98, 25, 556, 1638, 10844, 287, 625, 950, 357, 202, 91, 1454, 225, 35, 357, 202, 625, 280, 629, 26, 3731, 32, 6118, 77, 91, 1130, 203, 202, 12106, 1638, 10844, 31, 91, 950, 357, 202, 91, 1454, 225, 35, 357, 202, 1055, 280, 5237, 32, 6118, 77, 91, 79, 203, 202, 12106, 1638, 10844, 31, 101, 950, 357, 202, 91, 1454, 225, 35, 357, 202, 3323, 1170, 280, 5237, 32, 6118, 77, 91, 79, 203, 202, 12106, 1638 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 4, 5, 3, 5, 4, 3, 1, 1, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 2, 2, 3, 3, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 6, 5, 6, 5, 6, 5, 0, 3, 2, 2, 0, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 4, 0, 3, 2, 2, 3, 3, 3, 3, 0, 3, 2, 2, 0, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 2, 2, 0, 3, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 1, 1, 4, 3, 5, 5, 7, 6, 7, 5, 1, 1, 5, 4, 4, 6, 7, 5, 6, 5, 2, 2, 3, 3, 5, 7, 7, 7, 4, 4, 5, 7, 7, 7, 3, 3, 7, 6, 6, 7, 4, 4, 7, 6, 6, 8, 9, 7, 8, 7, 3, 3, 4, 4, 6, 8, 8, 8, 5, 5, 6, 8, 8, 8, 4, 4, 8, 7, 7, 8, 5, 5, 8, 7, 7, 9, 12, 11, 12, 10, 11, 10, 3, 3, 4, 4, 5, 7, 7, 7, 4, 4, 8, 7, 7, 8, 5, 5, 8, 7, 7, 9, 10, 8, 9, 8, 3, 3, 4, 4, 5, 7, 7, 7, 4, 4, 8, 7, 7, 8, 5, 5, 8, 8, 7, 7, 9, 10, 8, 9, 8, 3, 3, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 1, 1, 1, 1, 1, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 6, 6, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 7, 7, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 8, 8, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 9, 9, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 10, 10, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 11, 11, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 12, 12, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 13, 13, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 15, 15, 0, 1, 0, 1, 0, 1, 2, 1, 15, 15, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 3, 3, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 5, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 6, 6, 1, 1, 1, 2, 6, 6, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 7, 7 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 589, 622, 81, 8856, 81, 1163, 2262, 203, 202, 601, 301, 313, 979, 81, 27357, 563, 357, 202, 109, 355, 202, 20, 11265, 563, 3447, 1517, 563, 313, 2961, 3918, 355, 202, 20, 73, 846, 13448, 32840, 563, 3447, 1517, 563, 313, 2961, 3918, 355, 202, 20, 2247, 563, 3447, 1517, 563, 2884, 266, 392, 2884, 2961, 392, 313, 3966, 19632, 2131, 835, 355, 202, 20, 3196, 563, 3447, 1517, 563, 313, 2961, 3918, 355, 202, 20, 1097, 563, 3447, 2999, 81, 2250, 318, 81, 15175, 563, 2884, 46, 392, 225, 34, 11918, 355, 202, 20, 27577, 563, 3447, 1517, 563, 313, 2961, 3918, 355, 202, 20, 5870, 563, 3447, 1517, 563, 313, 2961, 3918, 355, 202, 20, 27330, 373, 15536, 563, 3447, 1517, 563, 313, 2961, 3918, 355, 202, 20, 42871, 367, 563, 3447, 1427, 1517, 563, 225, 34, 835, 355, 202, 20, 14837, 7679, 563, 301, 603, 202, 20, 1517, 563, 2884, 1206, 328, 392, 2884, 8552, 392, 313, 13624, 12941, 603, 202, 20, 1427, 1517, 563, 2884, 46, 392, 225, 36, 27, 355, 202, 835, 355, 202, 20, 21600, 13925, 563, 3447, 1427, 1517, 563, 225, 34, 835, 355, 202, 20, 14837, 32731, 563, 301, 603, 202, 20, 541, 17443, 81, 5545, 563, 308, 413, 392, 225, 34, 471, 603, 202, 20, 1427, 1517, 563, 2884, 46, 392, 225, 36, 27, 355, 202, 835, 355, 202, 20, 18201, 32731, 563, 301, 603, 202, 20, 541, 17443, 81, 5545, 563, 308, 413, 392, 225, 34, 471, 603, 202, 20, 1427, 1517, 563, 2884, 46, 392, 225, 36, 27, 355, 202, 835, 355, 202, 20, 8633, 13925, 563, 3447, 1427, 1517, 563, 225, 34, 835, 355, 202, 20, 16204, 6687, 563, 3447, 1517, 563, 313, 2961, 3918, 355, 202, 20, 36282, 32840, 563, 3447, 27485, 81, 1517, 563, 313, 25352, 3918, 355, 202, 20, 3782, 40104, 692, 563, 3447, 1517, 563, 313, 2961, 3918, 355, 202, 20, 14996, 5830, 563, 301, 603, 202, 20, 1517, 563, 2884, 1206, 328, 392, 2884, 8552, 392, 313, 13624, 12941, 603, 202, 20, 1427, 1517, 563, 2884, 46, 392, 225, 36, 27, 355, 202, 835, 355, 202, 20, 14048, 13925, 563, 3447, 1427, 1517, 563, 225, 34, 835, 355, 202, 20, 6334, 4448, 563, 301, 603, 202, 20, 1427, 1517, 563, 2884, 46, 392, 225, 36, 471, 603, 202, 20, 1517, 563, 2884, 1206, 328, 392, 2884, 27326, 392, 3662, 603, 202, 20, 462, 81, 8234, 563, 2884, 46, 392, 225, 35, 34, 34, 27, 355, 202, 835, 355, 202, 20, 1104, 436, 5599, 366, 367, 563, 301, 313, 1427, 1517, 563, 225, 34, 801, 355, 202, 20, 17612, 5599, 366, 367, 563, 3447, 1427, 1517, 563, 225, 34, 835, 355, 202, 20, 18201, 7679, 563, 301, 603, 202, 20, 1517, 563, 2884, 1206, 328, 392, 2884, 8552, 392, 313, 13624, 12941, 603, 202, 20, 1427, 1517, 563, 2884, 46, 392, 225, 36, 27, 355, 202, 835, 355, 202, 20, 18201, 902, 10955, 563, 301, 603, 202, 20, 1517, 563, 2884, 1206, 328, 392, 2884, 8552 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 1, 1, 3, 3, 4, 7, 7, 7, 7, 5, 5, 6, 6, 6, 9, 9, 9, 7, 11, 11, 9, 11, 11, 6, 6, 9, 9, 9, 9, 9, 9, 7, 11, 11, 9, 11, 11, 6, 6, 9, 9, 9, 7, 11, 11, 9, 12, 12, 10, 13, 13, 11, 13, 13, 13, 8, 6, 6, 9, 9, 9, 7, 11, 11, 9, 11, 11, 6, 6, 9, 9, 9, 7, 11, 11, 11, 11, 11, 11, 11, 9, 12, 12, 10, 11, 10, 6, 6, 9, 9, 9, 7, 11, 11, 9, 11, 11, 6, 6, 9, 9, 9, 7, 11, 11, 9, 11, 11, 6, 6, 9, 9, 9, 9, 9, 7, 11, 11, 9, 11, 11, 6, 6, 9, 9, 9, 9, 7, 11, 11, 11, 9, 10, 8, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 9, 12, 12, 12, 10, 13, 13, 11, 13, 13, 8, 8, 11, 11, 11, 11, 9, 12, 12, 10, 11, 10, 8, 8, 8, 6, 6, 9, 9, 9, 9, 7, 11, 11, 11, 9, 10, 8, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 11, 11, 11, 9, 12, 12, 10, 11, 10, 8, 8, 11, 11, 11, 11, 9, 12, 12, 10, 11, 10, 8, 8, 8, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 11, 11, 11, 9, 12, 12, 10, 11, 10, 8, 8, 11, 11, 11, 11, 9, 12, 12, 10, 11, 10, 8, 8, 8, 6, 6, 9, 9, 9, 9, 7, 11, 11, 11, 9, 10, 8, 6, 6, 9, 9, 9, 9, 7, 11, 11, 9, 11, 11, 6, 6, 9, 9, 9, 9, 7, 11, 11, 11, 11, 9, 11, 11, 6, 6, 9, 9, 9, 9, 9, 7, 11, 11, 9, 11, 11, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 9, 12, 12, 12, 10, 13, 13, 11, 13, 13, 8, 8, 11, 11, 11, 11, 9, 12, 12, 10, 11, 10, 8, 8, 8, 6, 6, 9, 9, 9, 9, 7, 11, 11, 11, 9, 10, 8, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 11, 9, 12, 12, 10, 11, 10, 8, 8, 11, 11, 11, 9, 12, 12, 12, 10, 13, 13, 11, 8, 8, 11, 11, 11, 11, 11, 9, 12, 12, 10, 11, 11, 11, 10, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 8, 11, 11, 11, 9, 10, 8, 6, 6, 9, 9, 9, 9, 9, 9, 7, 11, 11, 11, 9, 10, 8, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 9, 12, 12, 12, 10, 13, 13, 11, 13, 13, 8, 8, 11, 11, 11, 11, 9, 12, 12, 10, 11, 10, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 9, 12, 12, 12, 10, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 5, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 2, 0, 1, 2, 7, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 9, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 0, 1, 2, 11, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 13, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 15, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 17, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 19, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 0, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 21, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 23, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 3, 2, 2, 2, 0, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 25, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 3, 2, 2, 2, 0, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 27, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 29, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 31, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 33, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 35, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 0, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 37, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 39, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 0, 1, 2, 3, 1, 1, 2, 2, 1, 2, 3, 2, 2, 0, 1, 1, 1, 2, 5, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 41, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 43, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 45, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 0, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 47, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1 ]
[ 465, 5237, 203, 81, 84, 47, 3731, 32, 1648, 81, 1338, 77, 34, 11324, 37, 461, 308, 5962, 816, 44, 106, 27, 556, 308, 5962, 816, 44, 106, 32, 4434, 463, 23423, 35, 2847, 203, 1070, 9270, 32, 3938, 1188, 9866, 619, 617, 9664, 203, 1070, 9270, 32, 3938, 1188, 1474, 619, 617, 1436, 203, 1070, 9270, 32, 3938, 1188, 26158, 619, 617, 22630, 203, 1070, 9270, 32, 3938, 1188, 6977, 81, 4603, 619, 617, 7010, 81, 4603, 203, 1070, 9270, 32, 3938, 1188, 9866, 81, 4365, 36, 203, 81, 7919, 81, 1199, 280, 617, 7010, 81, 4603, 32, 2044, 346, 203, 27874, 280, 617, 9664, 32, 33748, 26, 334, 636, 1057, 2175, 33, 1237, 33, 2946, 81, 5609, 32, 1805, 370, 334, 2652, 1057, 2175, 32, 1237, 370, 334, 8345, 1057, 1805, 37, 370, 334, 14300, 81, 4365, 11645, 84, 9442, 96, 19, 2175, 33, 1237, 33, 2946, 81, 5609, 32, 1805, 78, 106, 35, 36, 78, 1140, 1677, 32, 1237, 1492, 52, 78, 96, 78, 106, 35, 34, 1598, 3675, 78, 106, 35, 36, 5327, 96, 78, 106, 34, 39, 7004, 78, 106, 35, 42, 78, 106, 34, 35, 766, 106, 34, 37, 4987, 106, 34, 84, 78, 106, 37, 36, 78, 106, 35, 88, 32, 2175, 32, 1237, 32, 1598, 3012, 3842, 1492, 74, 78, 96, 78, 106, 35, 37, 1598, 3012, 3842, 78, 106, 35, 36, 78, 106, 35, 34, 78, 96, 78, 106, 34, 42, 9003, 78, 106, 35, 42, 78, 106, 34, 35, 766, 106, 34, 35, 4987, 102, 78, 106, 35, 36, 19323, 96, 78, 96, 5138, 78, 106, 35, 42, 78, 106, 34, 36, 766, 106, 34, 37, 4987, 106, 34, 84, 78, 106, 37, 36, 78, 106, 35, 84, 32, 2175, 32, 1237, 32, 1598, 3012, 1492, 67, 78, 96, 78, 106, 34, 88, 1598, 3012, 78, 106, 35, 36, 78, 106, 34, 85, 78, 96, 78, 106, 34, 38, 426, 78, 106, 35, 42, 78, 106, 34, 35, 766, 106, 34, 35, 4987, 102, 78, 106, 35, 36, 78, 106, 35, 37, 78, 96, 78, 106, 34, 84, 525, 81, 2111, 78, 106, 35, 42, 78, 106, 34, 36, 766, 106, 34, 35, 4987, 102, 78, 106, 35, 36, 78, 106, 35, 84, 78, 96, 78, 106, 35, 37, 965, 81, 1217, 81, 5609, 78, 106, 35, 42, 78, 106, 34, 37, 766, 106, 34, 35, 4987, 49107, 19323, 96, 78, 106, 34, 87, 78, 106, 40, 37, 418, 32, 2175, 32, 1237, 52, 78, 106, 35, 38, 1598, 3012, 3489, 66, 78, 106, 34, 35, 78, 2925, 36, 78, 106, 34, 36, 78, 106, 34, 38, 57, 2554, 84, 78, 106, 34, 40, 1805, 37, 683, 203, 27, 203, 81, 7919, 81, 1199, 32, 4329, 33748, 26, 27874, 27, 203, 81, 3674, 635, 7872, 783, 11006, 69, 280, 617, 9664, 32, 4327, 26, 334, 636, 1057, 1598, 3675, 370, 334, 3536, 81, 426, 1057, 2175, 32, 1237, 32, 1598, 3675, 370, 334, 4870, 47, 2521, 30, 334, 803, 47, 27874, 30, 334, 6621, 81, 681, 47, 2521, 30, 334, 3829, 6020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 3, 3, 2, 8, 7, 8, 8, 8, 6, 7, 6, 6, 4, 4, 6, 6, 6, 7, 5, 3, 3, 5, 5, 5, 8, 7, 8, 7, 9, 9, 9, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 4, 5, 4, 0, 3, 2, 2, 5, 4, 5, 4, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 4, 4, 6, 6, 5, 7, 7, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 10, 9, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 10, 9, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 10, 10, 10, 10, 9, 9, 9, 4, 4, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 4, 4, 5, 7, 7, 7, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 3, 3, 2, 0, 3, 3, 1, 2, 3, 3, 3, 3, 2, 0, 4, 4, 1, 2, 4, 4, 3, 3, 2, 0, 5, 5, 1, 2, 5, 5, 0, 0, 3, 3, 2, 2, 2, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 2, 1, 1, 0, 0, 7, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 1, 4, 4, 5, 5, 5, 5, 1, 1, 6, 6, 6, 6, 1, 7, 8, 8, 8, 8, 1, 9, 9, 9, 9, 10, 10, 10, 10, 1, 11, 11, 11, 1, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 1, 1, 1, 1, 1, 1, 1, 1, 15, 1, 16, 16, 17, 17, 17, 17, 1, 1, 1, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 21, 21, 21, 21, 1, 22, 22, 22, 22, 23, 23, 23, 23, 1, 24, 24, 24, 1, 25, 26, 26, 26, 26, 1, 27, 28, 28, 1, 29, 29, 29, 29, 30, 30, 30, 30, 1, 31, 31, 31, 1, 32, 32, 32, 33, 33, 33, 33, 34, 34, 34, 34, 1, 1, 1, 1, 1, 1, 1, 35, 1, 36, 36, 37, 37, 37, 37, 1, 1, 38, 38, 38, 38, 39, 39, 39, 39, 40, 40, 41, 41, 41, 41, 1, 42, 42, 42, 42, 43, 43, 43, 43, 1, 44, 44, 44, 1, 45, 46, 46, 46, 46, 47, 47, 47, 47, 48, 48, 49, 49, 49, 49, 1, 1, 1, 50, 50, 50, 50, 51, 51, 51, 51, 1, 52, 52, 52, 1, 53, 54, 54, 54, 54, 55, 55, 55, 55, 56, 56, 57, 57, 57, 57, 1, 1, 1, 1, 1, 58, 58, 58, 58, 59, 59, 59, 59, 1, 60, 60, 60, 1, 61, 1, 62, 63, 63, 63, 63, 64, 64, 64, 64, 1, 1, 1, 1, 1, 1, 65, 65, 65, 65, 1, 1, 1, 1, 66, 66, 66, 66, 67, 67, 67, 68, 68, 68, 68, 69, 69, 69, 69, 1, 1, 1, 70, 70, 70, 70, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 11 ]
[ 505, 13411, 505, 280, 3941, 606, 44, 13600, 81, 1040, 32, 978, 30, 104, 225, 35, 32, 35, 41, 225, 36, 34, 34, 38, 33, 35, 35, 33, 35, 34, 225, 36, 36, 44, 36, 37, 44, 35, 37, 598, 393, 297, 9665, 17512, 203, 465, 2322, 203, 1070, 1673, 2304, 32, 4275, 1188, 9306, 2304, 2650, 924, 203, 1070, 1673, 2304, 32, 15697, 1188, 16611, 203, 1070, 1673, 2304, 32, 1515, 81, 1040, 1188, 8664, 983, 203, 1070, 1673, 2304, 1188, 1245, 203, 589, 1930, 81, 5366, 11653, 308, 1439, 81, 426, 30, 1695, 81, 1515, 30, 20918, 347, 13621, 392, 1750, 9541, 47, 34, 30, 32609, 81, 1945, 47, 34, 711, 284, 20918, 81, 407, 280, 301, 330, 13621, 950, 4939, 6680, 392, 3486, 330, 84, 3969, 36, 950, 5608, 13910, 36, 370, 3486, 330, 12447, 950, 4939, 76, 20, 320, 284, 20918, 81, 4545, 280, 5053, 13621, 950, 3037, 31, 88, 43, 3439, 2855, 330, 12447, 950, 3037, 31, 88, 3439, 2855, 330, 84, 3969, 36, 950, 2107, 31, 88, 43, 26830, 284, 415, 20918, 438, 646, 1665, 461, 20918, 646, 328, 20918, 81, 407, 32, 3494, 2262, 291, 3636, 10091, 30, 766, 1090, 313, 3371, 786, 436, 330, 12447, 950, 2298, 526, 1665, 30, 330, 13621, 370, 556, 330, 12447, 7362, 284, 13600, 81, 426, 280, 1695, 81, 426, 474, 4939, 5366, 20, 284, 8664, 983, 26, 500, 32, 983, 32, 7781, 26, 8929, 81, 426, 471, 32609, 81, 1945, 47, 24223, 81, 1945, 27, 284, 4774, 280, 3037, 5366, 392, 4825, 2161, 392, 13600, 81, 426, 30, 1695, 81, 1515, 79, 284, 16611, 26, 3515, 30, 32609, 81, 1945, 47, 24223, 81, 1945, 27, 284, 415, 20918, 44, 291, 16611, 2009, 12447, 79, 474, 20918, 81, 4545, 77, 12447, 79, 474, 428, 8929, 81, 426, 614, 1090, 32609, 81, 1945, 47, 24223, 81, 1945, 27, 291, 442, 13600, 81, 426, 474, 20918, 81, 407, 77, 12447, 79, 284, 813, 44, 291, 442, 13600, 81, 426, 203, 589, 1930, 81, 3969, 761, 308, 1439, 81, 426, 30, 1695, 81, 1515, 30, 9541, 47, 34, 30, 32609, 81, 1945, 47, 34, 711, 284, 1596, 44, 291, 1188, 8529, 761, 284, 2940, 29986, 44, 291, 8529, 761, 280, 1665, 284, 8529, 81, 3607, 280, 1695, 81, 426, 474, 4939, 3969, 20, 284, 8664, 983, 26, 500, 32, 983, 32, 7781, 26, 3969, 81, 3607, 471, 32609, 81, 1945, 47, 24223, 81, 1945, 27, 284, 415, 8529, 761, 438, 1665, 44, 291, 415, 9541, 44, 324, 8529, 2184, 280, 4825, 100, 20, 291, 813, 44, 324, 8529, 2184, 280, 4825, 18763, 20, 291, 1596, 44, 324, 16611, 14141, 3969, 392, 8529, 2184, 30, 8529, 81, 3607, 30, 1695, 81, 1515, 614, 1750, 32609, 81, 1945, 47, 24223, 81, 1945, 27, 291, 2940, 9306, 2304, 2650, 924, 44, 324, 3636, 9306, 2304, 2650, 924, 30, 766, 1750, 2884, 23905, 372, 1487, 8529, 803, 6611, 101, 950, 313, 4511, 313, 21685, 25209, 1188, 322, 330, 3969, 761, 25, 2297, 12356, 313, 4511, 313, 1809, 312, 27933, 8529, 15471, 657, 904, 8529, 81, 3607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 5, 5, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 2, 2, 5, 5, 4, 4, 8, 8, 6, 9, 9, 9, 9, 5, 5, 8, 8, 6, 9, 9, 9, 5, 5, 8, 8, 8, 8, 6, 9, 9, 9, 9, 2, 2, 3, 5, 5, 5, 4, 4, 5, 5, 5, 8, 8, 7, 8, 7, 3, 3, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 7, 7, 2, 2, 5, 5, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 5, 7, 7, 6, 7, 7, 7, 5, 2, 2, 4, 4, 7, 7, 5, 7, 7, 5, 6, 6, 5, 5, 6, 6, 5, 2, 2, 5, 6, 5, 5, 7, 7, 6, 7, 7, 7, 5, 2, 2, 3, 3, 3, 3, 7, 11, 10, 9, 9, 11, 11, 10, 11, 10, 8, 8, 10, 10, 10, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 5, 7, 7, 6, 6, 8, 8, 7, 8, 7, 3, 3, 4, 4, 4, 6, 7, 7, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 3, 3, 5, 7, 3, 3, 4, 4, 4, 4, 8, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 7, 7, 2, 2, 5, 5, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 5, 7, 7, 6, 7, 7, 7, 5, 2, 2, 3, 5, 4, 4, 3, 3, 3, 5, 5, 5, 5, 9, 8, 8, 10, 10, 5, 5, 6, 6, 6, 10, 9, 9, 11, 11, 4, 4, 5, 5, 5, 9, 12, 12, 10, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 9, 9, 11, 11, 10, 11, 11, 11, 9, 5, 5, 6, 7, 7, 7, 6, 6, 6, 8, 10, 10, 10, 9, 9, 10, 9, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 10, 10, 11, 11 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 2, 2, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 6, 6, 1, 1, 1, 6, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 1, 2, 2, 2, 7, 2, 2, 2, 0, 0, 9, 2, 2, 6, 6, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 4, 4, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 5, 5, 2, 2, 7, 7, 2, 4, 4, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 7, 7, 7, 7, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 3, 3, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 7, 7, 4, 4, 4, 0, 1, 1, 0, 7, 7, 1, 1, 1, 7, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 3, 0, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2 ]
[ 465, 7744, 203, 465, 316, 203, 465, 3738, 203, 465, 6885, 203, 465, 8321, 46439, 619, 4060, 81, 2692, 46439, 203, 465, 32681, 9244, 203, 1070, 43380, 1690, 1188, 319, 203, 1070, 13420, 32, 9777, 1188, 9033, 22198, 1466, 6430, 81, 2509, 203, 1070, 13420, 32, 8524, 1188, 308, 8686, 40, 81, 23171, 30, 30701, 41, 81, 23171, 30, 30701, 42, 81, 23171, 30, 4985, 30701, 43, 81, 23171, 30, 30701, 35, 35, 81, 23171, 30, 30700, 35, 36, 81, 23171, 30, 4985, 30700, 35, 37, 81, 23171, 27, 203, 1070, 13420, 32, 27680, 1188, 1503, 81, 3585, 203, 1070, 13420, 32, 2958, 1188, 1933, 203, 589, 17501, 81, 8629, 81, 1452, 40, 40, 34, 37, 39, 43, 26, 5098, 30, 4209, 30, 8321, 46439, 711, 284, 8321, 46439, 32, 530, 32, 15691, 26, 291, 1137, 81, 314, 47, 440, 858, 10996, 81, 4259, 81, 1851, 17146, 392, 400, 313, 757, 81, 8629, 81, 1452, 40, 40, 34, 37, 39, 43, 2113, 291, 5394, 347, 3402, 1015, 31, 267, 3738, 1631, 646, 1389, 10273, 328, 26297, 225, 40, 392, 291, 3048, 347, 2272, 1015, 31, 267, 12929, 372, 3909, 3115, 1015, 31, 267, 3738, 30, 313, 528, 313, 7900, 884, 18802, 461, 1631, 646, 1389, 10273, 7254, 372, 313, 528, 313, 12764, 5590, 544, 26297, 225, 40, 32, 2616, 1829, 2471, 30, 313, 528, 313, 20633, 5279, 372, 313, 528, 313, 641, 555, 29326, 32, 16415, 32, 1088, 33, 2245, 81, 1452, 32, 10304, 49, 314, 47, 39, 43, 39, 42, 38, 42, 392, 291, 4870, 47, 2692, 46439, 32, 3607, 30, 291, 1628, 47, 2692, 46439, 32, 928, 30, 291, 2623, 47, 2692, 46439, 32, 2705, 30, 291, 1619, 47, 2692, 46439, 32, 1819, 30, 291, 436, 81, 725, 9561, 47, 8686, 40, 81, 23171, 30, 291, 14675, 81, 681, 347, 731, 392, 291, 29414, 47, 39, 27, 203, 589, 1984, 3922, 81, 2208, 983, 81, 1452, 40, 43, 35, 39, 42, 42, 26, 5098, 30, 4209, 30, 8321, 46439, 711, 284, 415, 2069, 26, 8299, 27, 848, 225, 42, 44, 291, 8321, 46439, 32, 530, 32, 731, 26, 324, 2884, 858, 10996, 81, 4259, 81, 1851, 81, 589, 1664, 7614, 392, 1802, 313, 5185, 43, 81, 8524, 392, 1802, 313, 965, 3922, 81, 40, 43, 35, 39, 42, 42, 2113, 324, 2884, 2425, 59, 2413, 2825, 32, 2208, 1215, 1182, 8191, 1401, 5372, 328, 26297, 225, 43, 3107, 1802, 313, 2802, 904, 101, 436, 1829, 2471, 7144, 904, 308, 2509, 76, 1466, 6430, 81, 2509, 904, 225, 40, 40, 39, 41, 34, 40, 471, 324, 436, 81, 725, 9561, 47, 8686, 43, 81, 23171, 30, 324, 4870, 47, 2692, 46439, 32, 3607, 30, 1628, 47, 2692, 46439, 32, 928, 30, 324, 2623, 47, 2692, 46439, 32, 2705, 30, 1619, 47, 2692, 46439, 32, 1819, 30, 324, 14675, 81, 681, 347, 731, 392, 324, 29414, 47, 39, 27, 203, 589, 1984, 81, 753, 81, 1452, 40, 43, 35, 39, 42, 42, 26, 102, 711, 284, 273, 32, 530, 32, 731, 26, 291, 1137, 81, 314, 47, 440, 858, 10996, 81, 4259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 1, 1, 7, 6, 7, 5, 6, 5, 5, 5, 7, 7, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 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, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 8, 8, 7, 8, 5, 5, 5, 6, 8, 8, 7, 8, 5, 5, 5, 6, 8, 8, 7, 8, 5, 5, 5, 6, 8, 8, 7, 8, 5, 5, 5, 7, 7, 7, 6, 7, 7, 7, 7, 5, 5, 5, 7, 7, 6, 8, 8, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 9, 8, 9, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 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, 8, 8, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11, 11, 9, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 7, 8, 10, 10, 9, 10, 7, 7, 8, 10, 10, 9, 10, 7, 7, 7, 8, 10, 10, 9, 10, 7, 7, 8, 10, 10, 9, 10, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 6, 7, 5, 6, 5, 5, 5, 7, 7, 6, 7, 9, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 1, 1, 2, 2, 2, 0, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 9, 9, 1, 2, 9, 9, 0, 0, 0, 10, 10, 1, 2, 10, 10, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 11, 11, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 0, 0, 2, 2, 1, 1, 1, 9, 0, 0, 2, 2, 1, 1, 1, 11, 0, 0, 2, 2, 1, 1, 1, 13, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 15, 2, 2, 2, 2, 1, 1, 1, 0, 0, 17, 1, 2, 1, 1, 19, 2, 1, 0, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 12, 12, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 5, 2, 2, 2, 2, 1, 1, 1, 7, 0, 0, 2, 2, 1, 1, 9, 0, 0, 2, 2, 1, 1, 1, 11, 0, 0, 2, 2, 1, 1, 13, 0, 0, 2, 2, 1, 1, 1, 0, 0, 15, 1, 2, 1, 1, 17, 2, 1, 0, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1 ]
[ 465, 7138, 203, 1070, 4134, 1188, 5601, 18241, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 8527, 32, 1199, 1188, 4040, 81, 1996, 81, 25138, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 2304, 1188, 25932, 1338, 203, 1070, 4549, 1188, 308, 8068, 30, 20671, 30, 35493, 30, 3903, 30, 24506, 30, 284, 44348, 14923, 1868, 30, 12495, 4741, 8882, 27, 203, 823, 3678, 4470, 26, 7233, 711, 284, 665, 894, 81, 10513, 81, 33597, 81, 10122, 26, 784, 711, 291, 21885, 32, 5740, 32, 2029, 26, 18495, 505, 33597, 47, 34, 27, 284, 665, 894, 81, 10513, 81, 23825, 81, 10122, 26, 784, 711, 291, 21885, 32, 5740, 32, 2029, 26, 18495, 505, 23825, 47, 34, 27, 284, 665, 894, 81, 2951, 81, 11447, 26, 784, 711, 291, 312, 280, 20671, 32, 5740, 32, 1297, 26, 324, 31963, 347, 7760, 821, 597, 13700, 2547, 81, 770, 47, 6665, 32, 6665, 32, 2174, 346, 291, 829, 291, 630, 32, 5299, 26, 83, 32, 371, 81, 1517, 81, 2751, 1026, 1665, 27, 291, 312, 280, 20671, 32, 5740, 32, 371, 26, 3174, 47, 83, 32, 3174, 27, 291, 630, 32, 5299, 26, 83, 32, 14481, 81, 605, 30, 1044, 48890, 291, 630, 32, 5299, 26, 681, 26, 83, 32, 14481, 81, 605, 471, 15390, 27, 284, 665, 894, 81, 3222, 81, 878, 1495, 26, 784, 711, 291, 312, 280, 20671, 32, 5740, 32, 1297, 26, 324, 31963, 347, 435, 1247, 30, 6394, 6524, 392, 324, 2547, 81, 770, 47, 6665, 32, 6665, 32, 2174, 1026, 324, 9126, 81, 878, 280, 313, 16680, 852, 20, 319, 225, 35, 34, 34, 34, 291, 829, 291, 312, 280, 20671, 32, 5740, 32, 371, 26, 3174, 47, 83, 32, 3174, 27, 291, 630, 32, 5299, 291, 308, 1657, 26, 83, 32, 4066, 81, 878, 471, 225, 39, 34, 34, 34, 27, 284, 665, 894, 81, 770, 81, 10122, 26, 784, 711, 291, 35493, 32, 5740, 32, 1297, 26, 6036, 47, 6665, 32, 6665, 26, 35, 43, 43, 43, 30, 225, 35, 36, 30, 225, 37, 35, 490, 291, 35493, 32, 5740, 32, 1297, 26, 6036, 47, 6665, 32, 6665, 26, 35, 43, 43, 42, 30, 225, 35, 36, 30, 225, 37, 35, 490, 291, 35493, 32, 5740, 32, 1297, 26, 6036, 47, 6665, 32, 6665, 26, 35, 43, 43, 43, 30, 225, 35, 30, 225, 35, 490, 291, 630, 32, 862, 1625, 470, 1324, 26, 324, 35493, 32, 5740, 32, 2029, 26, 6036, 505, 5904, 47, 36, 471, 1605, 291, 829, 291, 630, 32, 862, 1625, 470, 1324, 26, 324, 35493, 32, 5740, 32, 2029, 26, 6036, 505, 5904, 47, 35, 471, 428, 400, 7138, 32, 770, 26, 35, 43, 43, 43, 30, 225, 35, 30, 225, 35, 27, 324, 2505, 324, 5601, 18241, 440, 6036, 657, 291, 829, 291, 630, 32, 862, 1625, 470, 1324, 26, 324, 35493, 32, 5740, 32, 2029, 26, 6036, 505, 5904, 47, 35, 36, 471, 428, 400, 7138, 32, 770, 26, 35, 43, 43, 43, 30, 225, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 8, 10, 10, 9, 13, 12, 13, 11, 12, 11, 8, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 9, 11, 10, 11, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 4, 4, 7, 8, 7, 9, 9, 11, 10, 11, 11, 11, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 13, 12, 13, 11, 12, 11, 8, 8, 10, 10, 9, 9, 12, 12, 12, 10, 10, 11, 11, 11, 11, 8, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 9, 11, 10, 11, 8, 4, 4, 6, 7, 4, 4, 8, 8, 10, 9, 10, 10, 10, 8, 6, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 8, 11, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 4, 4, 8, 9, 7, 8, 7, 9, 8, 11, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 4, 4, 8, 9, 7, 8, 7, 9, 8, 11, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 4, 4, 7, 8, 8, 8, 8, 7, 7, 7, 10, 11, 9, 10, 9, 11, 11, 11, 10, 11, 9, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 7, 7, 7, 10, 11, 9, 10, 9, 11, 11, 11, 10, 11, 9, 7, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 8, 8, 7, 7, 9, 9, 11, 11, 7, 7, 4, 4, 7, 8, 8, 8, 8, 7, 7, 7, 10, 11, 9, 10, 9, 11, 11, 11, 10, 11, 11, 9, 7, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 5, 5, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 2, 4, 4, 0, 1, 0, 1, 2, 2, 2, 1, 0, 3, 3, 3, 3, 0, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 3, 3, 1, 1, 0, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3 ]
[ 465, 420, 39, 978, 30, 6436, 30, 5741, 30, 3619, 20570, 32, 7547, 2304, 30, 1933, 30, 456, 279, 203, 1070, 3619, 20570, 32, 19124, 1188, 45627, 203, 589, 3208, 81, 1771, 81, 1070, 81, 800, 26, 4155, 81, 17915, 30, 706, 711, 284, 1654, 280, 6436, 32, 955, 25619, 9710, 47, 10337, 32, 1774, 37, 36, 27, 284, 22519, 280, 2149, 284, 436, 345, 1771, 328, 3208, 81, 17915, 44, 291, 636, 30, 7395, 81, 681, 30, 14563, 280, 8825, 26, 1232, 266, 32, 2998, 16487, 2847, 291, 415, 14563, 77, 34, 44, 36, 79, 610, 330, 2159, 950, 324, 5809, 81, 1298, 280, 9254, 20200, 30, 25236, 47, 18880, 499, 20200, 333, 1897, 26, 4184, 77, 36, 19572, 291, 4348, 14563, 77, 34, 44, 36, 79, 610, 330, 1837, 950, 324, 5809, 81, 1298, 280, 9254, 20200, 30, 25236, 47, 18880, 499, 20200, 848, 1897, 26, 4184, 77, 36, 19572, 291, 813, 44, 324, 3636, 26405, 440, 4445, 1330, 3185, 14563, 3700, 19, 15622, 4240, 313, 7686, 313, 1793, 330, 2159, 25, 556, 330, 1837, 32147, 291, 415, 7395, 81, 681, 610, 330, 2292, 25, 461, 14563, 77, 34, 44, 36, 79, 610, 330, 2159, 950, 324, 20200, 280, 6436, 32, 16537, 26, 605, 710, 15034, 35, 2188, 706, 710, 15034, 36, 3490, 291, 415, 7395, 81, 681, 610, 330, 2292, 25, 461, 14563, 77, 34, 44, 36, 79, 610, 330, 1837, 950, 324, 20200, 280, 6436, 32, 16516, 26, 605, 710, 15034, 35, 2188, 706, 710, 15034, 36, 3490, 291, 4348, 7395, 81, 681, 610, 330, 2999, 950, 324, 20200, 280, 706, 710, 15034, 35, 785, 474, 706, 710, 15034, 36, 785, 291, 4348, 7395, 81, 681, 610, 330, 380, 476, 98, 950, 324, 20200, 280, 3619, 20570, 32, 7547, 2304, 32, 15034, 35, 81, 15034, 36, 81, 452, 81, 95, 380, 476, 98, 81, 2281, 26, 16329, 706, 710, 15034, 35, 2188, 706, 710, 15034, 36, 3490, 77, 34, 79, 291, 4348, 7395, 81, 681, 610, 330, 807, 4384, 15422, 104, 36, 34464, 950, 324, 20200, 280, 3619, 20570, 32, 7547, 2304, 32, 371, 81, 11044, 463, 88, 807, 4384, 15422, 104, 36, 34464, 370, 1750, 706, 710, 15034, 35, 2188, 706, 710, 15034, 36, 2188, 706, 710, 12868, 35, 108, 2188, 706, 710, 12868, 36, 108, 3490, 291, 4348, 7395, 81, 681, 610, 330, 807, 4384, 15422, 104, 38, 34464, 950, 324, 20200, 280, 3619, 20570, 32, 7547, 2304, 32, 371, 81, 11044, 463, 88, 807, 4384, 15422, 104, 38, 34464, 370, 706, 710, 15034, 35, 2188, 10631, 706, 710, 15034, 36, 2188, 706, 710, 12868, 35, 108, 2188, 10631, 706, 710, 12868, 36, 108, 3490, 291, 4348, 7395, 81, 681, 610, 330, 807, 4384, 15422, 104, 36, 6932, 950, 324, 20200, 280, 3619, 20570, 32, 7547, 2304, 32, 371, 81, 449, 100, 81, 6932, 26, 605, 710, 15034, 35, 2188, 706, 710, 15034, 36, 2188, 7686, 706, 710, 12868, 35, 108, 2188, 706, 710, 12868, 36, 108, 2188, 706, 710, 88, 81, 5729, 2188, 7567, 16756, 449, 692, 1057, 807, 4384, 15422, 104, 36, 683, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 6, 7, 9, 8, 9, 9, 9, 6, 2, 2, 4, 4, 2, 2, 3, 4, 3, 3, 4, 4, 3, 3, 3, 7, 7, 8, 8, 7, 7, 6, 6, 8, 11, 11, 10, 11, 10, 12, 4, 4, 5, 7, 9, 8, 9, 7, 6, 6, 8, 8, 5, 5, 9, 9, 8, 8, 9, 10, 10, 11, 12, 9, 9, 10, 10, 12, 14, 13, 15, 14, 5, 5, 6, 8, 10, 9, 10, 8, 7, 7, 9, 9, 6, 6, 10, 10, 9, 9, 10, 11, 11, 12, 13, 10, 10, 11, 11, 13, 15, 14, 16, 15, 5, 5, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 4, 4, 5, 8, 8, 7, 7, 9, 9, 6, 6, 8, 10, 9, 10, 8, 7, 7, 9, 9, 5, 5, 8, 8, 10, 11, 10, 12, 11, 13, 13, 13, 10, 11, 13, 13, 13, 4, 4, 5, 8, 8, 7, 7, 9, 9, 6, 6, 8, 10, 9, 10, 8, 7, 7, 9, 9, 5, 5, 8, 8, 10, 11, 10, 12, 11, 13, 13, 13, 10, 11, 13, 13, 13, 5, 5, 6, 8, 8, 7, 7, 9, 9, 6, 6, 9, 9, 11, 13, 13, 13, 10, 10, 11, 13, 13, 13, 5, 5, 6, 8, 8, 7, 7, 9, 9, 9, 9, 6, 6, 9, 9, 14, 13, 14, 14, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 12, 13, 15, 15, 15, 12, 13, 15, 15, 15, 10, 11, 10, 5, 5, 6, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 13, 12, 13, 13, 11, 12, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 14, 14, 14, 11, 12, 14, 14, 14, 11, 12, 14, 14, 14, 14, 11, 12, 14, 14, 14, 14, 5, 5, 6, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 13, 12, 13, 13, 11, 12, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 12, 14, 14, 14, 11, 11, 12, 14, 14, 14, 11, 12, 14, 14, 14, 14, 11, 11, 12, 14, 14, 14, 14, 5, 5, 6, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 13, 12, 13, 13, 11, 12, 12, 12, 12, 12, 12, 11, 13, 12, 14, 14, 14, 11, 12, 14, 14, 14, 11, 11, 12, 14, 14, 14, 14, 11, 12, 14, 14, 14, 14, 11, 12, 14, 14, 14, 14, 11, 11, 13, 13, 12, 14, 14, 14, 14, 14, 14, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 4, 4, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 5, 5, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 3, 3, 1, 0, 1, 0, 2, 1, 1, 4, 0, 0, 2, 2, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 3, 3, 1, 0, 1, 0, 2, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 3, 1, 1, 2, 5, 5, 3, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 3, 1, 1, 2, 3, 3, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 5, 0, 0, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 2, 2, 2, 3, 3, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 2, 1, 5, 1, 1, 2, 1, 7, 1, 1, 1, 2, 1, 9, 1, 1, 1, 2, 3, 3, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 5, 1, 1, 2, 1, 7, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 2, 3, 3, 8, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 1, 7, 1, 1, 1, 2, 1, 9, 1, 1, 1, 2, 1, 1, 0, 0, 11, 1, 1, 1, 1, 1, 2, 3 ]
[ 505, 2116, 505, 280, 330, 22617, 358, 1579, 25, 203, 505, 770, 505, 280, 330, 36, 34, 33, 34, 42, 33, 36, 34, 35, 36, 25, 203, 505, 11794, 505, 280, 330, 10581, 225, 36, 34, 35, 36, 30, 886, 1910, 31611, 5412, 25, 203, 505, 13411, 505, 280, 8493, 2207, 6069, 58, 22, 25, 203, 465, 2678, 21031, 261, 203, 465, 2322, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 30609, 1188, 1910, 10830, 30, 10701, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 37571, 1188, 1910, 38474, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 9071, 4397, 1188, 1910, 7803, 3092, 203, 1070, 2678, 21031, 32, 1262, 1188, 308, 67, 5360, 73, 11256, 2424, 30, 5556, 1910, 5360, 1711, 30, 5556, 1910, 5360, 20035, 30, 5556, 1910, 5360, 4822, 3763, 6435, 30, 5556, 1910, 5360, 2863, 4772, 30, 5556, 1910, 5360, 12955, 30, 5556, 1910, 5360, 4228, 30, 5556, 1910, 5360, 4228, 1104, 30, 5556, 1910, 5360, 9518, 30, 5556, 1910, 5360, 1943, 8071, 30, 5556, 1910, 5360, 1176, 30, 5556, 1910, 5360, 1176, 9183, 30, 5556, 1910, 5360, 4140, 30, 5556, 1910, 5360, 2863, 4772, 6249, 1120, 30, 5556, 1910, 5360, 6084, 30, 5556, 1910, 5360, 6276, 6084, 6462, 30, 5556, 1910, 5360, 17062, 3564, 1598, 30, 5556, 1910, 5360, 2863, 4772, 2597, 30, 5556, 1910, 5360, 24873, 1222, 30, 5556, 1910, 5360, 3196, 30, 5556, 1910, 5360, 3010, 2424, 30, 5556, 1910, 5360, 17259, 18606, 30, 5556, 1910, 5360, 1943, 30, 5556, 1910, 5360, 3487, 1222, 30, 5556, 1910, 5360, 3487, 1222, 5504, 30, 5556, 1910, 5360, 3487, 1222, 2755, 30, 5556, 1910, 5360, 1811, 6084, 30, 5556, 1910, 5360, 1208, 4772, 2275, 30, 5556, 1910, 5360, 1208, 4772, 9672, 30, 5556, 1910, 5360, 19543, 4772, 2963, 30, 5556, 1910, 5360, 2863, 4772, 5291, 2168, 299, 30, 5556, 1910, 5360, 6276, 4220, 24513, 6462, 30, 5556, 1910, 5360, 24513, 4772, 2963, 30, 5556, 1910, 5360, 1031, 2207, 30, 5556, 1910, 5360, 2863, 4772, 4544, 4228, 2028, 30, 5556, 1910, 5360, 3487, 30, 5556, 1181, 27, 203, 1070, 2678, 21031, 32, 8463, 1188, 308, 67, 5360, 2212, 37033, 30, 2855, 1910, 5360, 7885, 2855, 829, 203, 1070, 2678, 21031, 32, 4266, 1188, 1477, 81, 725, 30, 15798, 203, 1070, 5359, 28429, 43692, 1439, 1188, 8560, 2028, 7233, 203, 1070, 22752, 1188, 4201, 24527, 1215, 203, 1366, 81, 725, 346, 203, 589, 1487, 2766, 4772, 2262, 284, 5396, 280, 1910, 5360, 2863, 4772, 440, 1943, 392, 313, 669, 15006, 392, 313, 5566, 657, 284, 1201, 5396, 32, 3274, 1534, 346, 610, 225, 34, 284, 442, 5396, 203, 589, 1487, 2766, 4772, 1554, 4140, 2262, 284, 5396, 280, 1910, 5360, 2863, 4772, 440, 1943, 49, 1495, 47, 25947, 2760, 44, 800, 24, 1495, 47, 25947, 410, 44, 5823, 392, 313, 669, 15006, 392, 313, 5566, 657, 284, 1201, 5396, 32, 3274, 1534, 346, 610, 225, 34, 284, 442, 5396, 203, 589, 1487, 4772, 1554, 3582, 1943, 2262, 284, 5396, 280, 1910, 5360, 2863, 4772, 440, 1943, 49, 1495, 47, 25947, 2760, 44, 800, 24, 1495, 47, 25947, 410, 44, 5823, 392 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 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, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 3, 0, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 8, 8, 6, 8, 8, 8, 6, 8, 8, 2, 2, 3, 6, 7, 7, 6, 4, 4, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 6, 8, 8, 2, 2, 3, 6, 7, 7, 6, 4, 4, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 4, 4, 0, 0, 0, 5, 5, 0, 6, 6, 0, 1, 2, 2, 1, 4, 6, 6, 0, 6, 6, 0, 7, 7, 0, 1, 2, 2, 1, 4, 7, 7, 0, 0, 8, 8, 0, 1, 2, 2, 1, 4, 4, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 0, 10, 10, 10, 0, 0, 10, 10, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 11, 11, 0, 12, 12, 0, 0, 0, 12, 12, 0, 0, 0, 13, 13, 13, 13, 0, 0, 0, 0, 0, 0, 1, 0, 15, 15, 1, 1, 2, 15, 15, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 0, 2, 2, 1, 1, 1, 2, 4, 4, 2, 0, 16, 16, 1, 1, 1, 1, 2, 16, 16, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 0, 2, 2, 1, 1, 1, 2, 4, 4, 2, 0, 17, 17, 1, 1, 1, 1, 2, 17, 17, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 9042, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 1297, 81, 1274, 463, 1903, 81, 1903, 444, 3732, 370, 308, 324, 2726, 314, 370, 630, 32, 18533, 26, 400, 330, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 24174, 4457, 81, 678, 47, 1815, 3662, 324, 2726, 426, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 683, 1802, 308, 5665, 47, 1815, 30, 1769, 81, 1322, 47, 36, 39, 39, 3662, 324, 2726, 1204, 370, 630, 32, 18533, 26, 400, 330, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1449, 81, 1322, 47, 36, 34, 38, 42, 3662, 324, 2726, 770, 81, 11043, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 683, 1802, 308, 2837, 81, 2174, 81, 669, 47, 1815, 30, 11771, 47, 1815, 3662, 291, 9658, 291, 3082, 32, 2714, 81, 1297, 81, 7295, 463, 1903, 370, 2107, 3192, 444, 3653, 3490, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 1274, 463, 1903, 81, 1903, 444, 3732, 683, 284, 4549, 280, 301, 291, 330, 1262, 32, 1903, 32, 1903, 444, 3732, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 3192, 444, 3653, 8885, 324, 330, 770, 81, 11043, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 370, 5518, 5053, 2837, 81, 2174, 81, 669, 950, 330, 1815, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 1204, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 36, 34, 38, 42, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 36, 39, 39, 18143, 291, 320, 284, 320, 284, 6153, 81, 7491, 280, 2107, 1903, 785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 12, 13, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 13, 12, 13, 11, 11, 13, 13, 12, 13, 13, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 13, 13, 13, 11, 8, 8, 11, 11, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 13, 13, 13, 13, 13, 12, 13, 11, 11, 12, 13, 11, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 12, 12, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 5, 5, 2, 2, 5, 5, 4, 4, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 3, 3, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 3, 3, 1, 2, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 2, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 533, 4072, 1188, 19224, 3592, 203, 1070, 46624, 32, 4280, 1188, 7096, 81, 203, 589, 16695, 7126, 81, 6276, 1811, 81, 46939, 81, 35, 81, 858, 2262, 334, 1056, 81, 2668, 280, 428, 313, 2272, 438, 312, 802, 20, 1481, 334, 1477, 30, 943, 280, 617, 3313, 15558, 26, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 39, 829, 334, 308, 1628, 81, 2881, 30, 1351, 81, 2881, 829, 280, 19224, 3592, 32, 9388, 7126, 26, 1477, 30, 24896, 943, 30, 24896, 330, 8257, 1946, 370, 32248, 34, 30, 32248, 34, 30, 24896, 1056, 81, 2668, 829, 334, 7096, 5908, 428, 313, 8257, 1946, 438, 312, 802, 20, 2505, 1056, 81, 2668, 829, 334, 7096, 5908, 1628, 81, 2881, 30, 225, 34, 829, 334, 7096, 5908, 1351, 81, 2881, 30, 225, 38, 829, 334, 1477, 30, 943, 280, 617, 3313, 15558, 26, 225, 35, 30, 225, 35, 34, 30, 225, 35, 30, 225, 35, 35, 829, 334, 308, 537, 81, 928, 81, 2881, 30, 537, 81, 1594, 81, 2881, 829, 280, 19224, 3592, 32, 9388, 7126, 26, 225, 24896, 1477, 30, 24896, 943, 30, 24896, 330, 15385, 432, 5769, 24896, 1628, 81, 2881, 30, 24896, 1351, 81, 2881, 30, 24896, 1056, 81, 2668, 829, 334, 1628, 81, 2881, 1454, 537, 81, 928, 81, 2881, 334, 1351, 81, 2881, 1454, 537, 81, 1594, 81, 2881, 334, 7096, 5908, 428, 330, 8257, 1946, 438, 312, 15385, 432, 802, 25, 2505, 1056, 81, 2668, 829, 334, 7096, 5908, 537, 81, 928, 81, 2881, 30, 225, 34, 829, 334, 7096, 5908, 537, 81, 1594, 81, 2881, 30, 225, 43, 829, 334, 7096, 5908, 1628, 81, 2881, 30, 225, 34, 829, 334, 7096, 5908, 1351, 81, 2881, 30, 225, 35, 37, 829, 334, 1477, 30, 943, 280, 617, 3313, 15558, 26, 225, 35, 30, 225, 35, 35, 30, 225, 35, 30, 225, 35, 41, 829, 334, 308, 537, 81, 928, 81, 2881, 30, 537, 81, 1594, 81, 2881, 829, 280, 19224, 3592, 32, 9388, 7126, 26, 225, 24896, 1477, 30, 24896, 943, 30, 24896, 330, 23202, 370, 24896, 1628, 81, 2881, 30, 24896, 1351, 81, 2881, 30, 24896, 1056, 81, 2668, 829, 334, 1628, 81, 2881, 1454, 537, 81, 928, 81, 2881, 334, 1351, 81, 2881, 1454, 537, 81, 1594, 81, 2881, 334, 7096, 5908, 2107, 8257, 1946, 438, 312, 15385, 432, 32208, 25, 2505, 1056, 81, 2668, 829, 334, 7096, 5908, 537, 81, 928, 81, 2881, 30, 225, 34, 829, 334, 7096, 5908, 537, 81, 1594, 81, 2881, 30, 429, 37, 829, 334, 7096, 5908, 1628, 81, 2881, 30, 225, 34, 829, 334, 7096, 5908, 1351, 81, 2881, 30, 225, 35, 34, 829, 203, 589, 16695, 7126, 81, 6276, 1811, 81, 46939, 81, 36, 81, 858, 2262, 334, 1056, 81, 2668, 280, 428, 313, 2272, 438, 312, 802, 20, 1481, 334, 1477, 30, 943, 280, 617, 3313, 15558, 26, 225, 35, 30, 225, 35, 35, 30, 225, 35, 30, 225, 35, 41, 829, 334, 308, 1628, 81, 2881, 30, 1351, 81, 2881, 829, 280, 19224, 3592, 32, 9388, 7126, 26, 1477, 30, 24896 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 5, 7, 7, 7, 7, 7, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 7, 6, 6, 7, 6, 6, 7, 6, 6, 7, 6, 2, 2, 5, 6, 6, 5, 5, 6, 6, 5, 4, 4, 7, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 6, 7, 6, 6, 7, 6, 6, 6, 7, 7, 6, 2, 2, 5, 5, 6, 8, 8, 8, 8, 8, 8, 6, 5, 6, 6, 5, 2, 2, 5, 5, 6, 6, 5, 5, 6, 5, 2, 2, 5, 5, 6, 6, 5, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 6, 6, 7, 7, 6, 2, 2, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 4, 4, 7, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 6, 6, 5, 2, 2, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 2, 2, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 2, 2, 5, 5, 6, 6, 5, 5, 6, 5, 2, 2, 5, 5, 6, 6, 5, 5, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 6, 6, 7, 7, 6, 2, 2, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 4, 4, 7, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 6, 6, 5, 2, 2, 5, 5, 6, 6, 6, 6, 5, 5, 6, 5, 2, 2, 5, 5, 6, 6, 6, 6, 5, 5, 7, 5, 2, 2, 5, 5, 6, 6, 5, 5, 6, 5, 2, 2, 5, 5, 6, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 5, 7, 7, 7, 7, 7, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 6, 6, 7, 7, 6, 2, 2, 5, 6, 6, 5, 5, 6, 6, 5, 4, 4, 7, 6, 7, 7, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 4, 4, 0, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 1, 1, 9, 1, 1, 1, 11, 11, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 7, 7, 1, 4, 4, 0, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 9, 9, 1, 1, 1, 11, 11, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 7, 7, 1, 4, 4, 0, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 7, 1, 1, 1, 9, 9, 1, 1, 1, 11, 11, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 1, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 7, 7, 1, 4, 4, 0, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1 ]
[ 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, 1430, 289, 81, 3524, 203, 2116, 44, 313, 56, 29626, 8922, 19487, 11931, 25038, 782, 2186, 19487, 4731, 203, 1648, 81, 11043, 44, 313, 36, 32, 40, 20, 203, 4021, 81, 2310, 44, 2648, 30, 5351, 556, 3066, 13077, 623, 10251, 1182, 24096, 203, 2310, 44, 664, 429, 313, 6668, 101, 372, 1487, 30, 5351, 556, 3066, 13077, 623, 10251, 1182, 24096, 32, 397, 10251, 1182, 24096, 438, 312, 3741, 30, 24305, 30, 461, 2156, 10282, 27756, 397, 308, 4019, 471, 1420, 436, 322, 562, 1182, 23655, 32, 2616, 4245, 2318, 632, 26, 641, 555, 14762, 11294, 32, 1088, 36875, 664, 429, 313, 2272, 2297, 1755, 4847, 623, 322, 13850, 1023, 354, 36, 7079, 3107, 203, 9971, 81, 10270, 81, 9854, 44, 334, 429, 1430, 289, 203, 2184, 44, 334, 1603, 44, 284, 3048, 44, 397, 429, 313, 1318, 1603, 432, 322, 3497, 30, 372, 526, 18891, 810, 2819, 3497, 1202, 3107, 397, 429, 313, 2797, 322, 1603, 438, 390, 26, 3596, 304, 471, 322, 3497, 1098, 3154, 646, 2307, 556, 526, 276, 409, 25223, 3107, 397, 429, 313, 2797, 322, 1603, 438, 390, 26, 8968, 81, 678, 471, 322, 3497, 2298, 2307, 32, 886, 3497, 276, 1202, 1098, 526, 5372, 45, 1289, 1604, 2471, 1098, 526, 41350, 3107, 284, 2129, 44, 861, 284, 16682, 44, 284, 429, 5024, 284, 429, 40118, 284, 429, 5372, 81, 678, 334, 2608, 81, 16777, 44, 284, 3048, 44, 397, 429, 313, 37298, 3497, 10064, 438, 6660, 308, 6036, 1603, 438, 390, 26, 2689, 490, 3107, 284, 1244, 44, 9155, 284, 827, 44, 1560, 334, 7260, 44, 284, 3048, 44, 397, 429, 313, 51, 1149, 432, 7260, 17388, 3107, 397, 429, 313, 4477, 11019, 2298, 526, 37779, 623, 390, 26, 16956, 44, 36875, 397, 429, 313, 7488, 1678, 555, 4280, 32, 26469, 32, 1088, 33, 916, 33, 16140, 31, 26469, 31, 36039, 31, 36039, 31, 35, 34, 21, 1906, 31, 41, 32, 35, 32, 36, 276, 436, 2769, 438, 6660, 3107, 397, 429, 313, 11387, 526, 3191, 1412, 1603, 438, 390, 26, 2689, 547, 13508, 526, 10302, 276, 415, 1603, 438, 390, 26, 3596, 304, 27, 556, 390, 26, 8968, 81, 678, 36875, 284, 1244, 44, 1605, 334, 5955, 81, 481, 18749, 44, 284, 3048, 44, 397, 429, 313, 4709, 15280, 4946, 844, 14942, 372, 322, 5955, 432, 2719, 1825, 3107, 397, 429, 313, 1186, 1023, 13602, 883, 1205, 458, 372, 526, 861, 3107, 284, 1244, 44, 1289, 284, 827, 44, 1560, 334, 537, 81, 3524, 81, 678, 81, 1617, 44, 284, 3048, 44, 397, 429, 313, 1215, 372, 312, 803, 6621, 322, 10251, 1182, 24096, 3497, 29991, 556, 10379, 374, 36761, 32120, 276, 1202, 372, 1539, 372, 3107, 397, 429, 313, 8518 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4530, 280, 428, 35, 30, 225, 35, 30, 225, 34, 79, 203, 1070, 638, 16465, 1188, 22570, 30, 22570, 2101, 1419, 3774, 38548, 30, 22570, 2101, 1419, 3774, 22661, 30, 22570, 2101, 1419, 3774, 4929, 52, 30, 22570, 2101, 1419, 3774, 55, 5411, 30, 22570, 2101, 1419, 3774, 2109, 52, 30, 22570, 21501, 1419, 3774, 30, 18609, 203, 1070, 638, 1521, 6528, 265, 1188, 48651, 265, 30, 24096, 265, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 2, 2, 4, 3, 3, 4, 3, 3, 4, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1070, 3312, 32, 42053, 1188, 308, 284, 4448, 2214, 30, 284, 5170, 2214, 30, 203, 27, 203, 589, 894, 81, 983, 81, 2433, 2262, 284, 1326, 280, 4448, 2214, 26, 965, 1057, 525, 555, 1499, 32, 2763, 32, 508, 33, 5224, 33, 36, 39, 683, 284, 1201, 1326, 32, 983, 610, 3056, 5224, 33, 36, 39, 25, 203, 589, 894, 81, 1217, 81, 2433, 2262, 284, 1326, 280, 4448, 2214, 26, 965, 1057, 525, 555, 1499, 32, 2763, 32, 508, 33, 1237, 8172, 1956, 47, 35, 36, 37, 38, 24, 7241, 47, 34439, 683, 284, 1201, 1326, 32, 1217, 610, 330, 1956, 47, 35, 36, 37, 38, 24, 7241, 47, 34439, 25, 203, 589, 894, 81, 1217, 81, 605, 81, 979, 81, 37579, 81, 2810, 2262, 284, 1326, 280, 4448, 2214, 26, 965, 1057, 525, 555, 1499, 32, 2763, 32, 508, 33, 1237, 8172, 1956, 47, 35, 36, 37, 38, 24, 7241, 47, 34439, 683, 284, 1201, 1326, 32, 1217, 81, 605, 610, 5053, 1956, 950, 2107, 35, 36, 37, 38, 2188, 330, 7241, 950, 2107, 34439, 26830, 203, 589, 894, 81, 1217, 81, 605, 81, 979, 81, 6844, 81, 853, 81, 3494, 2262, 284, 1326, 280, 4448, 2214, 26, 291, 1984, 1057, 525, 555, 1499, 32, 2763, 32, 508, 33, 1237, 8172, 1956, 47, 35, 36, 37, 38, 24, 1956, 47, 39, 40, 41, 42, 24, 7241, 47, 34439, 370, 284, 829, 284, 1201, 1326, 32, 1217, 81, 605, 610, 5053, 1956, 950, 2107, 35, 36, 37, 38, 370, 330, 39, 40, 41, 42, 2188, 330, 7241, 950, 2107, 34439, 26830, 203, 589, 894, 81, 1986, 81, 5792, 81, 4641, 817, 1196, 81, 965, 81, 452, 81, 1357, 2262, 284, 1789, 280, 5170, 2214, 26, 965, 1057, 525, 555, 1499, 32, 2763, 32, 508, 33, 3163, 31, 4641, 817, 332, 31, 417, 25844, 284, 1201, 1789, 32, 965, 610, 1789, 32, 1357, 32, 965, 203, 589, 894, 81, 1986, 81, 605, 81, 302, 81, 1260, 2262, 284, 2799, 280, 5053, 3986, 950, 330, 35, 36, 37, 38, 6040, 284, 1789, 280, 5170, 2214, 26, 1286, 47, 1260, 32, 16958, 26, 3140, 490, 284, 1201, 1789, 32, 605, 610, 2799, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 6, 4, 4, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 6, 6, 6, 4, 4, 8, 8, 6, 9, 9, 9, 9, 9, 5, 8, 8, 6, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 2, 2, 3, 5, 6, 6, 6, 4, 4, 8, 8, 6, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 8, 8, 6, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 6, 4, 4, 6, 7, 5, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 8, 8, 6, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 6, 8, 7, 10, 9, 10, 9, 10, 9, 2, 2, 3, 5, 6, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 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, 2, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 309, 1226, 864, 704, 1188, 18564, 203, 1070, 309, 1226, 864, 704, 1188, 4082, 203, 2859, 81, 2848, 280, 18564, 32, 2682, 81, 2848, 346, 203, 589, 622, 4311, 1658, 26, 965, 30, 4791, 2567, 47, 2521, 711, 284, 415, 1984, 438, 1665, 44, 291, 442, 1665, 284, 415, 4791, 2567, 438, 646, 1665, 44, 291, 1779, 2413, 280, 1984, 32, 2998, 12605, 11968, 34, 79, 474, 20869, 474, 596, 26, 1275, 2567, 27, 474, 4939, 3072, 20, 284, 813, 44, 291, 1779, 2413, 280, 1984, 284, 4082, 32, 751, 26, 103, 20, 32902, 1778, 645, 313, 474, 1779, 2413, 30, 4082, 32, 2897, 27, 284, 1778, 81, 605, 280, 18564, 32, 371, 2413, 26, 1433, 2413, 30, 3523, 47, 2859, 81, 2848, 30, 3217, 1057, 1286, 683, 284, 415, 1778, 81, 605, 438, 1665, 44, 291, 4082, 32, 751, 26, 103, 20, 8309, 1597, 600, 1048, 7667, 372, 10847, 322, 1778, 30, 13313, 299, 392, 4082, 32, 10431, 27, 291, 442, 284, 442, 1778, 81, 605, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 2, 2, 3, 5, 4, 4, 4, 3, 3, 3, 7, 6, 6, 12, 13, 12, 14, 11, 10, 9, 9, 8, 8, 10, 11, 11, 10, 7, 7, 9, 9, 3, 3, 4, 4, 4, 8, 7, 7, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 5, 5, 6, 7, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 6, 6, 7, 8, 8, 8, 6, 6, 7, 9, 9, 2, 2, 3, 5, 5, 4, 4, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 4, 4, 2, 2, 3, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 3, 3, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 5, 1, 2, 4, 4, 4, 0, 0, 1, 1, 4, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 4, 4, 5, 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 ]
[ 81, 11252, 81, 14008, 13309, 38713, 81, 2743, 722, 7321, 2739, 280, 330, 4463, 370, 330, 2479, 89, 4463, 370, 330, 24917, 25, 203, 589, 617, 2682, 81, 31690, 81, 1732, 2262, 284, 415, 5237, 32, 5134, 32, 15990, 2176, 11252, 81, 14008, 13309, 38713, 81, 2743, 722, 7321, 2739, 711, 291, 665, 617, 31690, 81, 1732, 2262, 324, 442, 323, 25, 22033, 11252, 2950, 25, 328, 617, 500, 32, 12757, 284, 813, 44, 291, 665, 617, 31690, 81, 1732, 2262, 324, 442, 3177, 284, 442, 617, 31690, 81, 1732, 203, 589, 617, 105, 81, 3222, 26, 106, 711, 284, 442, 308, 410, 26, 106, 27, 549, 225, 34, 23838, 547, 452, 81, 3651, 26, 38, 30, 330, 31935, 683, 203, 589, 617, 100, 81, 3222, 26, 410, 81, 3651, 711, 284, 442, 629, 32, 1070, 81, 3651, 26, 410, 81, 3651, 30, 330, 31935, 683, 203, 589, 617, 983, 81, 2524, 2740, 983, 81, 10031, 711, 284, 442, 1519, 81, 12595, 32, 2524, 2009, 2050, 32, 38848, 26, 983, 81, 17641, 4044, 27, 3775, 436, 1742, 328, 1519, 81, 10031, 415, 1742, 1130, 203, 589, 617, 983, 81, 2998, 26, 983, 711, 284, 415, 2069, 26, 983, 81, 17641, 4044, 27, 610, 225, 35, 44, 291, 8432, 30, 4950, 13203, 280, 1519, 32, 100, 11458, 26, 983, 81, 12595, 27, 291, 442, 8432, 30, 13203, 284, 436, 816, 328, 29390, 26, 983, 711, 291, 415, 816, 328, 1519, 81, 17641, 4044, 44, 324, 8432, 30, 13203, 280, 1519, 32, 100, 2998, 26, 106, 30, 1769, 2998, 47, 35, 27, 324, 442, 8432, 30, 13203, 284, 442, 2550, 1519, 203, 589, 617, 983, 81, 4597, 26, 983, 711, 284, 442, 617, 500, 32, 4597, 26, 983, 27, 203, 589, 617, 983, 81, 297, 81, 2816, 81, 681, 26, 983, 30, 2926, 711, 284, 1596, 44, 291, 6314, 81, 1338, 280, 617, 983, 81, 4597, 26, 983, 27, 284, 2940, 546, 21887, 44, 291, 442, 3177, 284, 442, 308, 4597, 81, 1338, 32, 270, 81, 2816, 549, 225, 34, 97, 35, 41, 34, 34, 34, 34, 27, 610, 2926, 203, 589, 617, 983, 81, 29712, 26, 983, 711, 284, 442, 617, 983, 81, 297, 81, 2816, 81, 681, 26, 983, 30, 225, 34, 97, 35, 34, 34, 34, 34, 34, 27, 203, 589, 617, 983, 81, 34103, 26, 983, 711, 284, 415, 646, 1519, 44, 291, 1519, 280, 617, 500, 32, 33115, 346, 284, 442, 617, 983, 81, 297, 81, 2816, 81, 681, 26, 983, 30, 225, 34, 97, 34, 38, 34, 34, 34, 34, 27, 203, 589, 617, 1821, 81, 6231, 26, 983, 30, 706, 30, 2926, 47, 34, 97, 40, 40, 40, 711, 284, 1519, 81, 2868, 280, 17246, 32, 34917, 1643, 26, 983, 30, 804, 26, 983, 490, 284, 9899, 280, 617, 500, 32, 1676, 26, 983, 81, 2868, 30, 1750, 617, 500, 32, 65, 81, 30317, 523, 617, 500, 32, 65, 81, 3412, 722, 523, 617, 500, 32, 65, 81, 2591, 13008, 30, 2926, 549, 225, 34, 97, 40, 40, 40, 27, 284, 1596, 44, 291, 623, 617, 716 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 6, 7, 5, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 5, 6, 6, 6, 6, 5, 5, 7, 10, 10, 10, 10, 10, 8, 8, 10, 9, 10, 3, 3, 4, 4, 4, 6, 7, 7, 7, 7, 6, 6, 8, 2, 2, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 9, 9, 10, 9, 7, 7, 8, 8, 6, 6, 6, 6, 5, 6, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 6, 6, 6, 5, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 2, 1, 1, 3, 6, 6, 5, 6, 5, 9, 8, 9, 8, 9, 9, 9, 9, 8, 6, 6, 7, 7, 7, 8, 8, 6, 7, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 7, 7, 7, 6, 4, 4, 5, 3, 3, 3, 7, 7, 7, 6, 6, 8, 9, 9, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 5, 6, 6, 7, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 10, 11, 10, 10, 12, 11, 12, 10, 6, 6, 7, 8, 8, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 9, 8, 3, 3, 4, 5, 4, 4, 4, 6, 2, 2, 3, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 3, 3, 3, 6, 6, 9, 8, 9, 8, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 2, 1, 1, 5, 5, 4, 4, 8, 8, 7, 6, 7, 6, 6, 8, 9, 8, 2, 2, 4, 4, 7, 6, 7, 6, 7, 7, 7, 6, 6, 6, 10, 9, 10, 10, 10, 8, 8, 10, 9, 10, 10, 10, 10, 7, 7, 9, 8, 9, 9, 9, 9, 6, 6, 7, 7, 8, 8, 8, 8, 8, 6, 2, 2, 3, 3, 3, 5, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 3, 1, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 3, 2, 1, 3, 3, 1, 1, 1, 4, 4, 2, 1, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 0, 4, 4, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 9, 9, 1, 1, 1, 2, 1, 2, 9, 9, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 10, 10, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 5, 5, 2, 2, 2, 2, 2, 1, 4, 4, 2, 2, 2, 0, 0 ]
[ 465, 5237, 203, 465, 16672, 203, 1070, 8117, 41411, 1188, 7272, 203, 3922, 280, 16672, 32, 26633, 346, 203, 3922, 32, 669, 81, 2669, 463, 2024, 81, 761, 370, 3049, 1057, 2301, 11203, 290, 706, 803, 683, 203, 3922, 32, 669, 81, 2669, 12664, 1516, 81, 11541, 370, 3466, 1057, 1516, 81, 11541, 370, 1244, 47, 35, 34, 36, 38, 30, 827, 47, 410, 30, 3049, 1057, 1918, 432, 9212, 372, 4450, 308, 1536, 44, 225, 35, 34, 36, 38, 19188, 203, 3922, 32, 669, 81, 2669, 12664, 1516, 81, 1003, 81, 24616, 370, 3466, 1057, 1516, 81, 1003, 81, 24616, 370, 1244, 47, 35, 40, 30, 827, 47, 410, 30, 3049, 1057, 1918, 432, 1133, 24840, 683, 203, 1132, 280, 4118, 32, 2208, 81, 1132, 346, 203, 1216, 330, 33193, 2149, 9212, 2473, 1643, 26, 1132, 32, 1516, 81, 11541, 27, 203, 3968, 280, 301, 284, 330, 426, 950, 330, 1006, 3157, 370, 284, 330, 681, 950, 330, 4133, 370, 284, 330, 4151, 950, 428, 291, 301, 330, 426, 950, 330, 54, 34, 370, 330, 681, 950, 330, 800, 370, 330, 7173, 366, 620, 950, 330, 39587, 25, 801, 291, 301, 330, 426, 950, 330, 54, 35, 370, 330, 681, 950, 330, 800, 370, 330, 7173, 366, 620, 950, 330, 39587, 25, 801, 291, 301, 330, 426, 950, 330, 54, 36, 370, 330, 681, 950, 330, 800, 370, 330, 7173, 366, 620, 950, 330, 39587, 25, 801, 291, 301, 330, 426, 950, 330, 6124, 13759, 16514, 370, 330, 681, 950, 330, 3222, 370, 330, 7173, 366, 620, 950, 330, 4804, 25, 801, 291, 301, 330, 426, 950, 330, 63, 34, 370, 330, 681, 950, 330, 3222, 370, 330, 7173, 366, 620, 950, 330, 36951, 25, 801, 291, 301, 330, 426, 950, 330, 63, 35, 370, 330, 681, 950, 330, 2627, 370, 330, 7173, 366, 620, 950, 330, 36951, 25, 320, 284, 1481, 203, 111, 203, 11541, 280, 1605, 203, 979, 595, 328, 35198, 26, 1132, 32, 1516, 81, 11541, 711, 284, 3627, 280, 301, 291, 330, 54, 34, 950, 596, 26, 91, 904, 225, 36, 471, 291, 330, 54, 35, 950, 596, 26, 91, 904, 225, 38, 471, 291, 330, 54, 36, 950, 596, 26, 91, 904, 225, 42, 471, 291, 330, 6124, 13759, 16514, 950, 629, 26, 91, 904, 2181, 32, 1516, 81, 1003, 81, 24616, 471, 291, 330, 63, 34, 950, 225, 35, 30, 291, 330, 63, 35, 950, 225, 35, 32, 34, 284, 320, 284, 9212, 32, 1689, 26, 4133, 27, 203, 1216, 330, 25533, 19553, 1643, 26, 3731, 32, 6118, 77, 35, 1130, 203, 1793, 2156, 26, 3731, 32, 6118, 77, 35, 614, 330, 12108, 683, 619, 963, 44, 284, 7272, 26, 541, 30, 5365, 30, 9212, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 3, 4, 5, 5, 5, 5, 3, 3, 4, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 6, 6, 3, 4, 5, 5, 3, 3, 4, 5, 3, 3, 4, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 1, 1, 5, 5, 5, 5, 4, 3, 5, 4, 5, 5, 5, 3, 0, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 5, 5, 6, 9, 9, 7, 9, 9, 9, 6, 9, 9, 7, 9, 9, 6, 9, 9, 9, 9, 7, 9, 9, 6, 5, 5, 6, 9, 9, 7, 9, 9, 9, 6, 9, 9, 7, 9, 9, 6, 9, 9, 9, 9, 7, 9, 9, 6, 5, 5, 6, 9, 9, 7, 9, 9, 9, 6, 9, 9, 7, 9, 9, 6, 9, 9, 9, 9, 7, 9, 9, 6, 5, 5, 6, 9, 9, 7, 9, 9, 9, 9, 6, 9, 9, 7, 9, 9, 6, 9, 9, 9, 9, 7, 9, 9, 6, 5, 5, 6, 9, 9, 7, 9, 9, 9, 6, 9, 9, 7, 9, 9, 6, 9, 9, 9, 9, 7, 9, 9, 6, 5, 5, 6, 9, 9, 7, 9, 9, 9, 6, 9, 9, 7, 9, 9, 6, 9, 9, 9, 9, 7, 9, 9, 6, 5, 5, 3, 3, 0, 3, 2, 2, 0, 1, 1, 1, 1, 3, 5, 4, 5, 5, 5, 3, 1, 1, 4, 4, 5, 5, 8, 8, 8, 6, 8, 10, 9, 9, 10, 8, 5, 5, 8, 8, 8, 6, 8, 10, 9, 9, 10, 8, 5, 5, 8, 8, 8, 6, 8, 10, 9, 9, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 10, 9, 9, 10, 11, 11, 11, 11, 11, 8, 5, 5, 8, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 6, 7, 7, 7, 5, 5, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 5, 5, 4, 3, 6, 5, 6, 4, 5, 4, 0, 1, 1, 6, 9, 8, 9, 7, 8, 7, 6, 8, 8, 4, 4, 1, 1, 1, 5, 6, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 2, 2, 2, 1, 1, 7, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 1, 1, 7, 2, 1, 1, 9, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 8, 8, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 2, 5, 1, 2, 1, 2, 2, 3, 1, 2, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 1, 1, 2, 5, 1, 2, 3, 2, 2, 5, 1, 2, 1, 1, 1, 2, 5, 1, 2, 3, 1, 2, 5, 1, 1, 1, 2, 5, 1, 2, 5, 2, 2, 7, 1, 2, 1, 1, 1, 1, 2, 7, 1, 2, 3, 1, 2, 7, 1, 1, 1, 2, 5, 1, 2, 7, 2, 2, 9, 1, 2, 1, 1, 1, 2, 9, 1, 2, 3, 1, 2, 9, 1, 1, 1, 2, 5, 1, 2, 9, 2, 2, 11, 1, 2, 1, 1, 1, 2, 11, 1, 2, 3, 1, 2, 11, 1, 1, 1, 2, 5, 1, 2, 11, 2, 2, 2, 2, 0, 0, 0, 0, 0, 11, 11, 11, 11, 1, 0, 1, 2, 2, 2, 1, 11, 11, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 3, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 5, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 7, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 9, 2, 2, 2, 2, 1, 1, 2, 11, 2, 2, 2, 2, 2, 5, 5, 0, 2, 1, 1, 1, 0, 12, 12, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 13, 13, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 13, 13, 13, 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 ]
[ 465, 5741, 203, 1070, 6765, 17594, 32, 3527, 32, 9353, 1188, 308, 284, 38604, 81, 9682, 30, 4085, 10383, 30, 3772, 6253, 1183, 27, 203, 1070, 6765, 17594, 32, 913, 1188, 45623, 81, 13001, 30, 45623, 81, 19452, 203, 1070, 6765, 17594, 32, 8774, 1188, 6042, 81, 1163, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 20744, 32477, 280, 2107, 641, 555, 933, 32, 508, 33, 105, 35, 611, 35, 404, 36, 37, 33, 978, 2175, 5894, 31, 19432, 33, 8929, 7404, 400, 330, 41, 85, 39, 1291, 43, 43, 40, 43, 84, 43, 41, 83, 41, 43, 43, 36, 3499, 42, 40, 83, 41, 39, 37, 1225, 43, 88, 36, 34, 87, 37, 29656, 37, 88, 41, 85, 32, 3969, 29368, 400, 330, 978, 2175, 5894, 31, 19432, 379, 34, 32, 34, 32, 35, 785, 203, 589, 622, 81, 2122, 26, 31667, 30, 1359, 711, 284, 415, 646, 6042, 81, 1163, 1371, 16799, 44, 1359, 835, 6029, 301, 16799, 44, 428, 14594, 81, 19452, 30, 9474, 45623, 81, 13001, 15755, 6029, 617, 22228, 711, 291, 442, 1665, 284, 442, 6597, 17977, 26085, 6253, 1183, 26, 1163, 77, 14594, 81, 19452, 614, 13687, 1359, 77, 14594, 81, 13001, 1130, 203, 823, 6597, 17977, 26085, 6253, 1183, 26, 1761, 6253, 1183, 711, 284, 665, 1156, 1664, 3207, 784, 30, 952, 30, 3882, 711, 291, 645, 9270, 22668, 874, 1188, 35773, 291, 630, 32, 5894, 280, 35773, 346, 291, 630, 32, 699, 280, 952, 291, 630, 32, 2895, 280, 3882, 284, 665, 3240, 81, 1436, 26, 784, 30, 1474, 20706, 1115, 5321, 711, 291, 11420, 280, 10306, 32, 371, 26, 11486, 81, 9682, 27, 291, 415, 646, 11420, 44, 324, 617, 22228, 32, 1338, 463, 1076, 6225, 225, 35, 1760, 438, 2129, 683, 324, 442, 291, 415, 646, 6937, 26, 12443, 30, 1149, 711, 324, 11420, 280, 428, 12443, 79, 291, 630, 32, 5894, 32, 3615, 26, 784, 32, 699, 30, 630, 32, 2895, 27, 291, 436, 1760, 328, 11420, 44, 324, 630, 32, 5894, 32, 2714, 81, 19432, 26, 1977, 30, 1474, 27, 291, 630, 32, 5894, 32, 12646, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 6, 6, 6, 9, 8, 8, 7, 6, 6, 9, 8, 8, 10, 10, 10, 9, 9, 9, 10, 10, 9, 6, 6, 7, 6, 3, 3, 5, 2, 2, 3, 5, 5, 5, 5, 5, 7, 6, 7, 7, 7, 6, 5, 5, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 7, 5, 5, 4, 4, 7, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 6, 4, 3, 3, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 5, 6, 5, 5, 5, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 4, 4, 5, 6, 8, 9, 8, 8, 8, 5, 5, 8, 8, 10, 9, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 4, 4, 5, 5, 5, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 10, 9, 9, 9, 4, 4, 8, 9, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 1, 2, 2, 2, 6, 6, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 1, 0, 0, 0, 4, 4, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 3, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 4134, 1188, 1623, 18241, 203, 1070, 3984, 106, 1188, 6466, 30, 6349, 3406, 203, 1070, 13625, 1188, 31466, 203, 1070, 7744, 1188, 17058, 203, 1070, 31074, 1188, 19818, 639, 30, 438, 3428, 203, 1070, 10501, 45274, 32, 3378, 1188, 394, 2617, 402, 203, 589, 2290, 81, 2388, 26, 3242, 711, 284, 436, 1541, 328, 4345, 44, 291, 415, 646, 2354, 26, 3242, 32, 1001, 35041, 1734, 81, 1731, 26, 1251, 471, 1665, 711, 324, 442, 1541, 203, 589, 6731, 81, 998, 81, 452, 81, 2388, 26, 3242, 30, 3051, 81, 1251, 47, 2521, 711, 284, 27960, 280, 2149, 284, 2385, 280, 225, 35, 284, 1550, 81, 2649, 280, 428, 2388, 81, 1251, 415, 3051, 81, 1251, 813, 2290, 81, 2388, 26, 3242, 2177, 284, 2354, 81, 2649, 280, 1605, 284, 2218, 1550, 81, 2649, 44, 291, 2218, 1550, 81, 2649, 44, 324, 1541, 280, 1550, 81, 2649, 32, 3235, 346, 324, 27960, 77, 1251, 79, 280, 2385, 324, 2354, 81, 2649, 32, 8233, 26, 3242, 32, 3127, 1734, 81, 1731, 26, 1251, 490, 291, 1550, 81, 2649, 30, 2354, 81, 2649, 280, 2354, 81, 2649, 30, 1550, 81, 2649, 291, 2385, 1454, 225, 35, 284, 442, 27960, 203, 589, 2290, 81, 2282, 81, 43570, 26, 3242, 30, 5166, 30, 10180, 47, 2521, 30, 3051, 81, 1251, 47, 2521, 711, 284, 415, 225, 35, 610, 2069, 26, 5459, 711, 291, 442, 5166, 77, 34, 614, 225, 34, 284, 27960, 280, 10180, 415, 10180, 813, 6731, 81, 998, 81, 452, 81, 2388, 26, 3242, 30, 3051, 81, 1251, 47, 2388, 81, 1251, 27, 284, 1932, 30, 3100, 280, 8594, 1371, 1251, 44, 27960, 26, 1251, 27, 436, 1541, 328, 5166, 4009, 40957, 1026, 1202, 47, 1094, 18241, 26, 35, 490, 2867, 36, 79, 284, 2218, 3100, 77, 35, 79, 333, 1932, 77, 35, 2786, 291, 3100, 280, 308, 3242, 32, 1001, 35041, 1734, 81, 1731, 26, 3090, 77, 34, 8492, 1978, 1026, 3100, 77, 35, 79, 429, 225, 35, 27, 284, 1932, 280, 1932, 77, 34, 79, 284, 3100, 280, 3100, 77, 34, 79, 284, 2218, 1932, 863, 3100, 44, 291, 1932, 280, 4345, 32, 1001, 35041, 1734, 81, 1731, 26, 2232, 547, 1978, 346, 291, 3100, 280, 4345, 32, 1001, 35041, 1734, 81, 1731, 26, 3090, 547, 1978, 346, 284, 442, 1932, 30, 27960, 77, 2232, 79, 203, 589, 2290, 81, 2282, 81, 723, 31905, 26, 3242, 30, 1541, 81, 6332, 711, 284, 27960, 280, 6731, 81, 998, 81, 452, 81, 2388, 26, 3242, 27, 284, 442, 308, 1809, 81, 2282, 81, 43570, 26, 3242, 30, 5166, 30, 10180, 47, 31818, 27, 436, 5166, 328, 1541, 81, 6332, 27, 203, 589, 24635, 1975, 26, 3242, 30, 537, 81, 2388, 711, 284, 2935, 280, 2354, 26, 3242, 32, 1001, 35041, 1734, 81, 1731, 26, 890, 81, 2388, 471, 1665, 27, 284, 415, 646, 2935, 44, 291, 442, 284, 1519, 280, 428, 890, 81, 2388, 79, 284, 2218, 2935, 438, 646, 1665, 44, 291, 4345, 32, 2546, 81, 5854, 26, 2544, 30, 1519, 6448, 35, 1130, 291, 1519, 32, 1689, 26, 2544, 27, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 3, 3, 3, 5, 6, 8, 11, 10, 11, 11, 11, 11, 11, 10, 11, 10, 8, 8, 5, 5, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 5, 2, 2, 5, 5, 4, 4, 7, 7, 7, 6, 6, 7, 7, 6, 6, 8, 8, 8, 9, 8, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 11, 11, 10, 11, 10, 6, 6, 9, 10, 9, 8, 8, 6, 6, 10, 10, 9, 10, 9, 12, 11, 12, 12, 12, 12, 11, 12, 11, 4, 4, 8, 8, 7, 7, 8, 8, 6, 6, 8, 8, 7, 7, 8, 8, 4, 4, 6, 6, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 5, 4, 4, 6, 7, 6, 3, 3, 5, 7, 8, 7, 6, 7, 2, 2, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 2, 2, 5, 5, 4, 4, 7, 12, 11, 11, 13, 14, 13, 10, 11, 11, 11, 10, 10, 9, 7, 8, 10, 10, 10, 11, 10, 5, 7, 5, 2, 2, 3, 5, 6, 5, 4, 4, 5, 6, 5, 3, 3, 6, 6, 12, 11, 12, 12, 12, 12, 12, 11, 13, 12, 13, 12, 10, 9, 7, 9, 10, 9, 8, 8, 9, 7, 2, 2, 4, 4, 5, 6, 5, 2, 2, 4, 4, 5, 6, 5, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 10, 11, 11, 11, 11, 11, 10, 11, 10, 9, 8, 4, 4, 6, 6, 10, 11, 11, 11, 11, 11, 10, 11, 10, 9, 8, 2, 2, 3, 4, 4, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 3, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 4, 5, 5, 5, 6, 6, 4, 0, 1, 1, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 9, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 6, 6, 2, 2, 3, 4, 3, 3, 3, 2, 2, 4, 4, 6, 6, 6, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 7, 8, 8, 8, 7, 8, 7, 7, 8, 10, 8, 4, 4, 7, 8, 7, 8, 7, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 7, 7, 0, 0, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 4, 1, 1, 4, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 0, 0, 0, 3, 3, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 2, 4, 4, 5, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 8, 8, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 3, 0, 0, 1, 1, 1, 2, 1, 2, 4, 4, 3, 0, 2, 0, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 3, 3, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 6, 1, 1, 6, 6, 6, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 4, 4, 7, 1, 1, 2, 2, 2, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 2, 2, 2, 3, 3, 1, 0, 10, 10, 1, 2, 1, 2, 2, 3, 3, 2, 10, 10, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 3, 3, 3, 0, 2, 1, 1, 1, 3 ]
[ 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, 2361, 203, 1070, 28520, 32, 8524, 32, 4882, 32, 3613, 1188, 7841, 203, 1070, 28520, 32, 3477, 32, 4573, 32, 1538, 101, 1188, 2156, 104, 4640, 81, 12154, 203, 1070, 638, 1538, 101, 81, 1647, 1188, 2108, 2961, 72, 7934, 2459, 30, 2454, 81, 12940, 30, 739, 81, 1647, 81, 1132, 203, 858, 81, 426, 81, 2671, 81, 7469, 81, 4873, 280, 301, 284, 330, 858, 81, 1676, 104, 4640, 81, 12154, 81, 3596, 304, 81, 805, 36477, 304, 950, 428, 291, 308, 34, 30, 2550, 9142, 614, 284, 330, 858, 81, 1676, 104, 4640, 81, 12154, 81, 3596, 304, 81, 268, 21332, 81, 12154, 950, 428, 291, 308, 34, 30, 330, 668, 81, 839, 81, 858, 81, 839, 32, 4687, 370, 12304, 291, 308, 34, 30, 2550, 12304, 291, 308, 34, 30, 2550, 12304, 291, 308, 34, 30, 2550, 12304, 291, 308, 34, 30, 2550, 12304, 291, 308, 34, 30, 2550, 9142, 614, 284, 330, 858, 81, 1676, 104, 4640, 81, 12154, 81, 2689, 81, 805, 36477, 304, 950, 428, 291, 308, 34, 30, 330, 668, 81, 839, 81, 858, 81, 839, 32, 4687, 370, 12304, 291, 308, 34, 30, 330, 839, 81, 452, 81, 2544, 81, 858, 81, 839, 32, 4687, 370, 12304, 291, 308, 34, 30, 330, 839, 81, 452, 81, 25438, 81, 6158, 32, 4687, 370, 12304, 291, 308, 34, 30, 330, 371, 81, 5066, 81, 2816, 81, 11850, 32, 4687, 370, 12304, 291, 308, 34, 30, 330, 839, 81, 371, 81, 6173, 81, 314, 81, 3986, 81, 1632, 32, 4687, 370, 9142, 614, 284, 330, 858, 81, 1676, 104, 4640, 81, 12154, 81, 2689, 81, 35622, 81, 12154, 950, 428, 291, 308, 34, 30, 2550, 12304, 291, 308, 34, 30, 2550, 12304, 291, 308, 34, 30, 2550, 12304, 291, 308, 34, 30, 2550, 9142, 614, 284, 330, 858, 81, 1676, 104, 4640, 81, 12154, 81, 2689, 81, 35622, 81, 9539, 81, 12154, 950, 428, 291, 308, 34, 30, 2550, 12304, 291, 308, 34, 30, 2550, 12304, 291, 308, 34, 30, 2550, 12304, 291, 308, 34, 30, 2550, 9142, 614, 284, 330, 858, 81, 1676, 104, 4640, 81, 12154, 81, 2689, 81, 41860, 81, 6173, 81, 314, 950, 428, 291, 308, 34, 30, 330, 668, 81, 839, 81, 858, 81, 839, 32, 4687, 370, 12304, 291, 308, 34, 30, 330, 839, 81, 452, 81, 2544, 81, 858, 81, 839, 32, 4687, 370, 12304, 291, 308, 34, 30, 330, 839, 81, 452, 81, 25438, 81, 6158, 32, 4687, 370, 12304, 291, 308, 34, 30, 330, 371, 81, 5066, 81, 2816, 81, 11850, 32, 4687, 370, 12304, 291, 308, 34, 30, 330, 839, 81, 371, 81, 6173, 81, 314, 81, 3986, 81, 1632, 32, 4687, 370, 12304, 291, 308, 34, 30, 2550, 9142, 614, 284, 330, 858, 81, 1676, 104, 4640, 81, 12154, 81, 2689, 81, 3815, 101, 81, 6173, 81, 314, 950, 428, 291, 308, 34, 30, 330, 668, 81, 839, 81, 858, 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, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 7, 6, 6, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 7, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 7, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 7, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 7, 6, 6, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 7, 6, 6, 8, 8, 8, 8, 8, 8 ]
[ 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, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 3, 3, 3, 2, 2, 1, 5, 5, 5, 2, 2, 1, 7, 7, 7, 2, 2, 1, 9, 9, 9, 2, 2, 1, 11, 11, 11, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 1, 2, 2, 1, 3, 3, 3, 2, 2, 1, 5, 5, 5, 2, 2, 1, 7, 7, 7, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 2, 2, 1, 1, 1, 1, 2, 2, 1, 3, 3, 3, 2, 2, 1, 5, 5, 5, 2, 2, 1, 7, 7, 7, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 2, 2, 1, 11, 11, 11, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 30902, 619, 46474, 203, 589, 10750, 26, 20119, 81, 3483, 711, 284, 6089, 280, 46474, 32, 13191, 346, 284, 6089, 32, 2539, 280, 22646, 81, 3483, 284, 804, 98, 81, 1274, 280, 46474, 32, 1599, 463, 8543, 81, 6385, 370, 6089, 30, 2267, 944, 47, 1815, 27, 284, 6562, 81, 314, 81, 1274, 280, 46474, 32, 1599, 26, 291, 330, 35615, 81, 7001, 81, 3631, 370, 291, 6089, 30, 291, 46474, 32, 2137, 463, 35615, 81, 314, 370, 4511, 46474, 32, 652, 26, 40, 38, 471, 4511, 46474, 32, 13343, 463, 8543, 81, 6385, 32, 314, 370, 6619, 544, 2560, 1057, 28781, 13356, 291, 46474, 32, 2137, 463, 7001, 81, 314, 370, 4511, 46474, 32, 652, 26, 36, 39, 39, 471, 4511, 7458, 81, 678, 47, 1815, 471, 291, 13060, 81, 3483, 1057, 17196, 370, 291, 13060, 81, 15245, 1057, 3310, 42, 683, 284, 6562, 81, 314, 81, 1274, 32, 1297, 26, 20119, 81, 3483, 30, 1505, 2232, 47, 1815, 27, 284, 2192, 280, 46474, 32, 2602, 32, 1613, 2009, 35615, 81, 1274, 32, 85, 32, 314, 30, 804, 98, 81, 1274, 32, 85, 32, 7001, 81, 314, 8492, 2767, 26, 291, 804, 98, 81, 1274, 32, 85, 32, 7001, 81, 314, 32, 297, 1206, 26, 2521, 490, 284, 436, 10625, 328, 22646, 81, 3483, 32, 4526, 26, 1613, 711, 291, 6562, 81, 35615, 81, 3038, 280, 5053, 35615, 81, 314, 950, 10625, 32, 314, 30, 1014, 330, 7001, 81, 314, 950, 10625, 32, 7001, 81, 314, 111, 291, 6562, 81, 314, 81, 1274, 32, 3215, 26, 7001, 81, 35615, 81, 3038, 547, 4526, 346, 284, 804, 98, 81, 1274, 32, 3798, 81, 2592, 463, 7001, 81, 314, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 5, 6, 4, 4, 5, 5, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 6, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 10, 11, 10, 11, 11, 10, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 13, 13, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 10, 11, 10, 11, 11, 11, 10, 8, 8, 10, 10, 9, 10, 8, 6, 6, 8, 8, 7, 9, 9, 6, 6, 8, 8, 7, 9, 9, 9, 2, 2, 6, 6, 6, 6, 5, 6, 5, 6, 6, 6, 5, 5, 7, 6, 7, 5, 2, 2, 4, 4, 9, 10, 8, 9, 8, 12, 12, 12, 11, 12, 10, 11, 9, 9, 12, 12, 12, 11, 12, 10, 11, 11, 11, 9, 7, 6, 6, 6, 11, 11, 11, 10, 11, 9, 10, 10, 10, 8, 9, 9, 8, 9, 8, 2, 2, 3, 3, 3, 6, 6, 5, 6, 5, 6, 5, 3, 3, 7, 7, 7, 7, 6, 6, 10, 10, 10, 10, 8, 9, 10, 7, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 10, 7, 4, 4, 10, 10, 10, 10, 9, 10, 9, 10, 10, 10, 10, 10, 9, 8, 7, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 1, 1, 1, 0, 0, 9, 1, 2, 1, 1, 0, 0, 11, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 3, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 6, 6, 6, 0, 0, 0, 2, 1, 1, 1, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 13092, 203, 50, 12408, 32, 1826, 32, 28913, 26, 284, 313, 2029, 81, 800, 30, 2799, 81, 1267, 392, 284, 428, 291, 2884, 90, 47, 36, 42, 556, 341, 47, 40, 556, 456, 47, 36, 392, 2933, 471, 291, 2884, 100, 32, 2132, 32, 371, 32, 753, 36, 1057, 36, 13042, 2933, 471, 291, 2884, 100, 32, 5078, 32, 1986, 32, 2924, 392, 313, 641, 555, 105, 24780, 32, 21168, 32, 716, 33, 272, 33, 5323, 33, 2113, 291, 2884, 100, 32, 5078, 32, 1986, 32, 1206, 13636, 392, 41745, 291, 2884, 100, 32, 2132, 32, 371, 32, 1206, 13636, 392, 41745, 291, 2884, 100, 32, 21326, 32, 1986, 32, 1206, 13636, 392, 41745, 291, 2884, 100, 32, 21326, 32, 1986, 32, 1206, 13636, 1057, 20282, 13042, 3177, 471, 291, 2884, 100, 32, 21326, 32, 1986, 32, 1206, 13636, 112, 25, 20282, 13042, 3177, 471, 291, 2884, 100, 32, 5078, 32, 1357, 32, 3663, 392, 313, 1499, 32, 105, 24780, 32, 1088, 2113, 291, 2884, 100, 32, 5078, 32, 1357, 32, 2035, 392, 313, 1499, 32, 105, 24780, 32, 1088, 2113, 291, 2884, 100, 32, 5078, 32, 1986, 32, 903, 68, 2478, 100, 392, 313, 13861, 33, 35, 32, 35, 38, 32, 34, 308, 26677, 43471, 291, 2884, 100, 32, 5078, 32, 1986, 32, 1786, 392, 313, 13861, 33, 35, 32, 35, 38, 32, 34, 308, 26677, 43471, 291, 2884, 100, 32, 21326, 32, 1357, 32, 9534, 35, 392, 313, 35, 2113, 291, 2884, 100, 32, 21326, 32, 1357, 32, 85, 6223, 7319, 55, 35, 392, 313, 35, 2113, 291, 2884, 100, 32, 21326, 32, 1986, 32, 426, 392, 313, 64, 1190, 46731, 2113, 291, 2884, 100, 32, 21326, 32, 1986, 32, 48860, 1432, 392, 313, 64, 1190, 46731, 2113, 291, 2884, 100, 32, 2132, 32, 371, 32, 753, 35, 392, 313, 35, 2113, 291, 2884, 100, 32, 2132, 32, 371, 32, 98, 51, 1691, 63, 35, 392, 313, 35, 2113, 284, 2505, 203, 27, 203, 589, 894, 81, 2029, 81, 2094, 81, 2810, 26, 284, 2761, 81, 2067, 30, 2280, 81, 2620, 81, 24780, 575, 30, 2761, 81, 800, 30, 2799, 81, 1267, 203, 711, 284, 1201, 2761, 81, 2067, 32, 297, 81, 7891, 26, 2763, 81, 2620, 81, 24780, 575, 30, 2761, 81, 800, 27, 610, 2799, 81, 1267, 203, 50, 12408, 32, 1826, 32, 28913, 26, 284, 313, 2029, 81, 800, 30, 2799, 81, 1267, 392, 284, 428, 291, 2884, 100, 32, 5078, 32, 1986, 32, 1206, 13636, 392, 41745, 291, 2884, 100, 32, 2132, 32, 371, 32, 1206, 13636, 392, 41745, 291, 2884, 100, 32, 21326, 32, 1986, 32, 1206, 13636, 392, 41745, 291, 2884, 100, 32, 21326, 32, 1986, 32, 1206, 13636, 1057, 20282, 13042, 3177, 471, 284, 2505, 203, 27, 203, 589, 894, 81, 2029, 81, 2094, 81, 2810, 81, 1347, 81, 1986, 26, 284, 2761, 81, 2067, 30, 2280, 81, 2620, 81, 24780, 575, 81, 1347, 81, 1986, 30, 2761, 81, 800, 30, 2799, 81, 1267, 203, 711, 284, 1201, 308, 291, 2761, 81, 2067, 32, 297, 81, 7891, 26, 2763, 81, 2620, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 2, 6, 5, 6, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 2, 2, 4, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 7, 5, 5, 6, 6, 0, 2, 6, 5, 6, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 5, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 2, 2, 4, 5, 5, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 13, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 15, 15, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 25, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 27, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 29, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 31, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 33, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 35, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1 ]
[ 465, 1360, 203, 465, 5741, 203, 465, 2322, 203, 465, 5237, 203, 1070, 2919, 2208, 1188, 3659, 2825, 30, 1930, 81, 1762, 203, 1070, 8527, 1188, 20418, 619, 475, 60, 5289, 65, 81, 4530, 203, 1070, 8527, 32, 2957, 1188, 20995, 36997, 81, 22370, 619, 5798, 70, 9825, 81, 44756, 81, 22370, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 203, 1070, 8527, 32, 1262, 32, 9331, 1188, 1695, 203, 1070, 638, 2304, 1188, 22676, 81, 5843, 30, 540, 3002, 1125, 203, 1070, 638, 2810, 1188, 3846, 30, 4705, 81, 853, 203, 18132, 280, 3177, 203, 35684, 81, 44756, 81, 22370, 280, 330, 28350, 5289, 65, 81, 35684, 25, 203, 35684, 81, 29940, 280, 11363, 5983, 25, 203, 35684, 81, 29940, 81, 31528, 280, 2726, 1318, 636, 432, 322, 3488, 443, 372, 2454, 30, 330, 7686, 330, 87, 32, 89, 32, 313, 20235, 2296, 1670, 458, 7735, 6945, 102, 3943, 30, 330, 7686, 330, 1382, 225, 475, 60, 5289, 65, 81, 35684, 4706, 330, 7686, 330, 4502, 1098, 526, 1654, 11834, 203, 5983, 81, 2184, 280, 308, 2682, 81, 1762, 26, 35684, 81, 29940, 30, 9474, 3049, 47, 35684, 81, 29940, 81, 31528, 471, 27, 203, 589, 2443, 26, 1553, 81, 2184, 47, 2700, 711, 284, 3649, 6713, 284, 415, 646, 6713, 44, 291, 415, 475, 60, 5289, 65, 81, 4530, 2377, 308, 35, 30, 225, 42, 711, 324, 3218, 81, 1297, 81, 3922, 280, 1695, 32, 1761, 2019, 32, 1297, 81, 3922, 324, 665, 1487, 81, 3922, 26, 784, 30, 23161, 81, 426, 30, 1361, 2501, 711, 400, 4118, 280, 3218, 81, 1297, 81, 3922, 26, 784, 30, 23161, 81, 426, 30, 1361, 2501, 27, 400, 415, 6937, 26, 3922, 30, 3659, 2825, 711, 528, 1695, 32, 1761, 2019, 32, 1762, 81, 668, 1454, 3488, 81, 2184, 400, 813, 44, 528, 4118, 32, 669, 81, 2669, 26, 35684, 81, 29940, 30, 2476, 3049, 47, 35684, 81, 29940, 81, 31528, 27, 400, 442, 4118, 324, 1695, 32, 1761, 2019, 32, 1297, 81, 3922, 280, 1487, 81, 3922, 291, 813, 44, 324, 1695, 32, 1761, 2019, 32, 1762, 81, 668, 1454, 3488, 81, 2184, 291, 48780, 280, 8145, 26916, 26, 1553, 81, 2184, 47, 1553, 81, 2184, 27, 291, 5237, 32, 2859, 81, 983, 32, 3215, 26, 34, 30, 48780, 27, 291, 6713, 280, 2933, 203, 823, 8145, 26916, 26, 1473, 711, 284, 2047, 869, 280, 5798, 70, 9825, 81, 44756, 81, 22370, 284, 636, 869, 280, 12251, 18204, 81, 44756, 81, 22370, 284, 1048, 81, 2076, 280, 2884, 2324, 4881, 526, 18253, 30, 313, 353, 313, 9236, 2677, 301, 34, 111, 438, 3469, 7144, 284, 665, 1156, 1664, 3207, 784, 30, 1505, 81, 2184, 47, 2700, 711, 291, 630, 32, 6118, 280, 5237, 32, 6118, 31445, 291, 630, 32, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 291, 630, 32, 4073, 32, 34318, 26, 7490, 32, 2897, 27, 291, 4899, 280, 5741, 32, 1862, 1972, 346, 291, 630, 32, 4073, 32, 669, 1972, 26, 4531, 27, 291, 415, 1505, 81, 2184, 44, 324, 630, 32, 1553, 81, 2184 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 0, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 6, 7, 7, 7, 7, 7, 5, 3, 0, 1, 1, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 2, 2, 3, 4, 3, 3, 3, 5, 7, 7, 7, 7, 7, 6, 6, 8, 7, 7, 8, 7, 5, 5, 9, 9, 9, 9, 8, 8, 10, 11, 11, 9, 10, 10, 10, 6, 6, 7, 8, 8, 8, 9, 8, 8, 9, 9, 8, 8, 9, 8, 7, 7, 10, 10, 12, 12, 12, 12, 12, 13, 12, 12, 13, 13, 12, 12, 13, 12, 8, 8, 9, 11, 12, 11, 11, 12, 11, 9, 9, 14, 15, 15, 13, 14, 14, 14, 12, 12, 13, 13, 9, 9, 10, 10, 10, 14, 15, 15, 15, 14, 15, 15, 15, 14, 14, 14, 15, 16, 16, 16, 16, 16, 14, 8, 8, 9, 6, 6, 10, 11, 11, 9, 10, 10, 10, 8, 8, 9, 9, 5, 5, 6, 6, 6, 11, 12, 12, 10, 11, 11, 11, 9, 9, 10, 10, 4, 4, 6, 6, 8, 8, 10, 10, 10, 9, 10, 10, 10, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 7, 7, 4, 4, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 8, 9, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 9, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 5, 5, 3, 3, 2, 2, 2, 2, 2, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 2, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 10, 10, 0, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 2, 0, 16, 16, 2, 0, 0, 0, 1, 2, 2, 16, 16, 0, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 4, 4, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 4, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 2, 3, 3, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 17, 17, 1, 2, 1, 2, 17, 17, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 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, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 3, 3, 0, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 5, 5, 5, 0, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 31074, 203, 465, 5741, 203, 465, 1133, 203, 465, 5021, 203, 1070, 4726, 16103, 32, 31670, 1188, 308, 284, 8329, 81, 2250, 81, 21674, 30, 203, 27, 203, 1070, 638, 12892, 1188, 308, 284, 438, 81, 3524, 81, 16073, 30, 203, 27, 203, 1070, 638, 6993, 1188, 308, 284, 2866, 81, 19243, 81, 11250, 30, 203, 27, 203, 1070, 638, 21674, 1188, 308, 284, 6144, 81, 8919, 81, 2263, 687, 30, 203, 27, 203, 1070, 638, 906, 13547, 1188, 308, 284, 19440, 18748, 30, 203, 27, 203, 1070, 638, 1684, 1188, 308, 284, 20955, 30, 203, 27, 203, 1070, 2676, 37, 32, 2304, 32, 2951, 1188, 308, 284, 14893, 30, 203, 27, 203, 589, 2192, 81, 5074, 26, 2250, 711, 284, 8241, 81, 2184, 280, 739, 26, 2250, 32, 1163, 710, 28475, 5695, 3494, 1157, 284, 9173, 81, 5074, 81, 2076, 280, 2706, 96, 2296, 2524, 26, 1731, 4280, 32, 5074, 1162, 291, 313, 8589, 1884, 1907, 392, 291, 313, 608, 392, 284, 2588, 308, 291, 10698, 34, 111, 429, 301, 35, 16054, 1643, 26, 5074, 81, 1055, 30, 8241, 81, 426, 27, 291, 436, 8241, 81, 1055, 30, 8241, 81, 426, 328, 10703, 26, 11939, 26, 5074, 81, 2184, 490, 284, 2588, 308, 291, 4320, 291, 313, 6545, 48089, 322, 636, 30, 556, 1451, 432, 322, 10848, 8241, 20, 284, 48440, 284, 8241, 81, 426, 280, 5021, 32, 13232, 26, 17381, 81, 5074, 81, 2076, 27, 284, 415, 8241, 81, 426, 328, 8241, 81, 2184, 44, 291, 442, 8241, 81, 426, 284, 4348, 8241, 81, 426, 32, 44065, 346, 461, 629, 26, 5074, 81, 426, 27, 333, 2069, 26, 5074, 81, 2184, 711, 291, 442, 8594, 26, 5074, 81, 2184, 5594, 410, 26, 5074, 81, 426, 2177, 284, 813, 44, 291, 3636, 5021, 32, 2655, 984, 26, 324, 313, 3817, 11655, 44, 301, 34, 4009, 225, 5294, 9173, 645, 1591, 432, 322, 313, 324, 313, 27120, 2075, 35145, 1643, 26, 5074, 81, 426, 27, 291, 829, 203, 589, 2192, 81, 3524, 26, 5074, 711, 284, 1169, 81, 12892, 280, 8241, 32, 1840, 37, 32, 9968, 32, 12892, 284, 415, 646, 1169, 81, 12892, 44, 291, 3636, 5021, 32, 2655, 984, 440, 2023, 13077, 2431, 544, 8241, 7144, 284, 8298, 81, 3524, 81, 1436, 280, 3228, 96, 2473, 2524, 26, 1731, 4280, 32, 5074, 1162, 291, 313, 15566, 392, 291, 313, 608, 23681, 284, 2588, 308, 291, 10698, 1055, 111, 429, 301, 3524, 16054, 1643, 26, 324, 3497, 47, 3524, 30, 324, 1650, 47, 1055, 30, 291, 829, 436, 308, 1055, 30, 3497, 27, 328, 10703, 26, 464, 81, 12892, 27, 284, 2588, 308, 291, 4320, 291, 313, 6545, 322, 3497, 2965, 556, 322, 1451, 432, 322, 10848, 3497, 392, 284, 48440, 284, 3497, 81, 11447, 280, 5021, 32, 13232, 26, 291, 8298, 81, 3524, 81, 1436, 30, 291, 1244, 47, 5074, 32, 1840, 37, 32, 9968, 32, 1536, 3341, 556, 8241, 32, 1840, 37, 32, 9968, 32, 8540, 1439, 30, 284, 829, 284, 415, 3497, 81, 11447, 328, 739, 26, 464 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 4, 4, 1, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 11, 10, 11, 9, 11, 11, 9, 8, 2, 2, 5, 5, 5, 5, 4, 4, 9, 8, 7, 6, 9, 9, 8, 9, 8, 9, 9, 11, 11, 11, 11, 9, 9, 11, 11, 9, 9, 8, 9, 9, 13, 13, 13, 13, 13, 13, 12, 11, 12, 12, 12, 11, 11, 12, 12, 11, 9, 9, 10, 12, 12, 11, 11, 12, 12, 10, 10, 12, 14, 14, 15, 15, 15, 14, 9, 9, 8, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 5, 5, 4, 4, 5, 5, 3, 3, 3, 5, 6, 6, 3, 3, 4, 8, 8, 7, 8, 7, 5, 5, 8, 9, 9, 9, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 9, 10, 10, 10, 9, 9, 9, 10, 10, 10, 9, 3, 3, 4, 4, 4, 6, 8, 9, 9, 8, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 11, 10, 11, 11, 11, 10, 8, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 8, 6, 7, 5, 6, 2, 2, 3, 4, 5, 5, 3, 3, 3, 5, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 9, 8, 7, 6, 9, 9, 8, 9, 8, 9, 9, 11, 11, 9, 9, 11, 11, 9, 9, 8, 9, 9, 13, 13, 13, 13, 13, 13, 12, 11, 11, 11, 12, 13, 11, 11, 11, 12, 13, 11, 11, 11, 9, 10, 12, 11, 11, 11, 10, 10, 12, 13, 13, 13, 12, 9, 9, 8, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 7, 12, 11, 12, 12, 10, 11, 9, 10, 10, 8, 8, 11, 12, 12, 10, 11, 9, 10, 10, 6, 6, 6, 2, 2, 3, 5, 5, 4, 4, 6, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 10, 10, 0, 10, 10, 10, 10, 10, 10, 10, 0, 11, 11, 0, 1, 2, 1, 4, 11, 11, 11, 11, 11, 11, 11, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 3, 3, 5, 5, 5, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1 ]
[ 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, 330, 1517, 950, 3037, 8687, 3439, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 485, 2219, 81, 7924, 81, 7878, 81, 2122, 81, 37261, 203, 2310, 44, 203, 31, 570, 3790, 44052, 436, 570, 2955, 24507, 1183, 203, 4021, 81, 2310, 44, 570, 3790, 44052, 436, 570, 2955, 24507, 1183, 203, 1648, 81, 11043, 44, 225, 36, 32, 41, 203, 2116, 44, 6597, 6355, 32, 11931, 2175, 3209, 5134, 27, 203, 15965, 44, 203, 31, 4262, 2377, 225, 36, 32, 40, 203, 31, 5167, 2377, 225, 36, 32, 35, 42, 32, 38, 203, 31, 9270, 31, 2393, 2377, 225, 35, 32, 37, 32, 34, 203, 2184, 44, 334, 10582, 44, 284, 3048, 44, 284, 429, 399, 1149, 432, 2761, 786, 11847, 32, 18981, 10582, 884, 14021, 2442, 632, 26, 641, 555, 3209, 32, 2175, 32, 508, 33, 4968, 33, 89, 3209, 33, 3576, 33, 5473, 33, 9211, 7447, 284, 429, 11072, 5388, 2761, 328, 322, 1149, 1098, 1712, 526, 3640, 619, 600, 3114, 3700, 308, 2029, 35, 397, 461, 2761, 36, 27, 638, 203, 9971, 81, 10270, 81, 9854, 44, 485, 2219, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 636, 44, 225, 312, 9161, 2719, 44052, 334, 485, 2219, 81, 7924, 81, 7878, 81, 2122, 81, 37261, 44, 397, 10582, 44, 397, 429, 636, 280, 894, 81, 1473, 397, 2074, 44, 894, 81, 2250, 397, 3796, 81, 5462, 44, 2719, 3524, 397, 2719, 81, 3524, 81, 761, 44, 2430, 2868, 33, 2393, 32, 15963, 20, 203, 9592, 203, 10934, 280, 5881, 203, 3028, 44, 334, 3048, 44, 1682, 432, 3946, 334, 4717, 44, 5182, 334, 827, 44, 8640, 334, 4304, 44, 284, 8694, 15491, 10755, 70, 5390, 3091, 44, 397, 3048, 44, 397, 429, 498, 13523, 432, 21032, 328, 6791, 415, 3523, 81, 28038, 438, 31437, 81, 31784, 32, 1670, 291, 739, 372, 225, 34, 30, 322, 11078, 438, 2979, 31, 18590, 461, 2401, 101, 1755, 6222, 322, 943, 432, 322, 291, 5427, 3523, 308, 271, 13741, 547, 886, 7091, 6660, 786, 436, 44104, 438, 1591, 291, 5808, 32, 397, 429, 5076, 322, 2454, 14699, 18522, 12841, 438, 37879, 30, 458, 1600, 438, 646, 1654, 32, 397, 4717, 44, 3117, 397, 827, 44, 629, 284, 42797, 44, 397, 3048, 44, 397, 429, 886, 1149, 432, 42797, 688, 13942, 458, 24507, 1183, 32, 397, 4717, 44, 3117, 397, 827, 44, 8640, 397, 4304, 44, 291, 14699, 18522, 2101, 44, 616, 3048, 44, 616, 429, 19009, 322, 14699, 18522, 2926, 436, 458, 9161, 32, 616, 429, 2616, 3649, 4808, 26, 69, 27, 556, 14453, 33, 10079, 2454, 14699, 18522, 30, 322, 1244, 438, 28572, 1466, 27002, 32, 324, 5381, 2078, 884, 28572, 1466, 27002, 30, 559, 1757, 308, 979, 4808, 26, 69, 490, 461, 13401, 308, 979, 14453, 33, 10079, 547, 616, 429, 1348, 4881 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 6, 4, 7, 7, 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, 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, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 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, 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, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15390, 81, 30839, 203, 465, 7138, 203, 465, 11685, 203, 1070, 8527, 32, 12023, 32, 2300, 1188, 3678, 4191, 30, 12515, 1900, 10144, 203, 1070, 8527, 32, 12023, 32, 2300, 32, 8774, 1188, 29662, 4191, 1241, 203, 1070, 8527, 32, 12023, 32, 2300, 32, 4882, 1188, 9128, 15481, 45210, 36928, 7233, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 11123, 30, 2680, 203, 1070, 8527, 32, 12023, 32, 1286, 2516, 32, 3378, 1188, 38718, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 858, 1188, 4448, 2214, 30, 19205, 30, 2684, 81, 3550, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 878, 203, 1070, 638, 2300, 1188, 29343, 10144, 30, 4755, 619, 5605, 81, 2851, 203, 1070, 638, 3378, 1188, 308, 284, 6259, 30, 13312, 3350, 30, 13337, 30, 30980, 30, 17158, 30, 17158, 1243, 35, 30, 17158, 1243, 36, 30, 284, 506, 26710, 13820, 30, 506, 1975, 5217, 30, 677, 1618, 30, 677, 1618, 36, 30, 677, 1618, 37, 30, 677, 1618, 38, 30, 29343, 30, 29343, 36, 30, 284, 29343, 37, 30, 29343, 38, 3113, 318, 30, 29343, 38, 3999, 1900, 30, 3139, 1203, 30, 546, 3310, 283, 1097, 30, 15064, 30, 284, 15064, 1243, 1554, 3402, 21919, 30, 11038, 30, 30779, 30, 12831, 30, 12831, 2256, 30, 284, 15196, 30, 358, 694, 299, 30, 4185, 2931, 1243, 30, 4185, 4433, 1243, 30, 4988, 10275, 30, 203, 27, 203, 13338, 81, 23150, 2146, 18418, 81, 4424, 280, 330, 823, 347, 3221, 2342, 1204, 413, 1791, 377, 83, 6457, 203, 823, 2108, 750, 13976, 26, 1473, 711, 284, 477, 17614, 284, 665, 14553, 24527, 26, 6933, 711, 291, 2680, 32, 5740, 32, 1297, 26, 324, 15769, 47, 35, 34, 34, 30, 952, 1057, 5266, 370, 1932, 81, 426, 1057, 11069, 370, 2401, 81, 426, 1057, 1240, 370, 4096, 1057, 5266, 50, 2763, 32, 508, 370, 324, 3882, 1057, 5567, 35, 22, 43, 43, 39, 83, 37, 22, 40, 34, 35, 35, 38, 42, 39, 4532, 37, 42, 37, 38, 36, 40, 41, 86, 41, 35, 43, 84, 38, 85, 42, 34, 35, 38, 34, 43, 84, 42, 84, 35, 20481, 34, 35, 39, 42, 370, 438, 81, 2480, 47, 1815, 30, 438, 81, 39744, 47, 1815, 30, 324, 438, 81, 15989, 47, 1815, 30, 2401, 81, 3615, 47, 6665, 32, 6665, 26, 36, 34, 34, 41, 30, 225, 39, 30, 225, 37, 34, 30, 225, 35, 37, 30, 225, 36, 34, 30, 225, 35, 34, 471, 324, 2340, 81, 35683, 47, 6665, 32, 6665, 26, 36, 34, 34, 41, 30, 225, 39, 30, 225, 37, 34, 30, 225, 35, 37, 30, 225, 36, 34, 30, 225, 35, 34, 27, 291, 829, 203, 50, 7106, 81, 3550, 26, 13001, 81, 21415, 3184, 69, 11414, 11025, 32, 12023, 32, 2393, 32, 2888, 483, 32, 9451, 35, 4049, 2885, 265, 2188, 4511, 32252, 81, 2413, 14594, 347, 2300, 81, 266, 4446, 32, 11400, 657, 203, 823, 2108, 10144, 26, 24527, 13976, 30, 19205, 711, 284, 665, 14553, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 9, 10, 8, 9, 8, 8, 8, 9, 10, 10, 10, 8, 8, 9, 11, 11, 8, 10, 10, 9, 11, 11, 8, 10, 10, 9, 11, 11, 8, 9, 11, 11, 11, 11, 11, 11, 8, 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, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 10, 10, 9, 10, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 10, 10, 9, 12, 11, 12, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 8, 8, 10, 10, 9, 12, 11, 12, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 8, 8, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 1, 2, 2, 3, 3, 4, 4, 3, 3, 3, 2, 2, 4, 5, 6, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 7, 7, 1, 2, 1, 4, 4, 1, 6, 7, 7, 0, 8, 8, 1, 2, 1, 4, 4, 8, 8, 0, 9, 9, 1, 2, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 0, 11, 11, 0, 11, 11, 5, 5, 2, 2, 0, 12, 12, 0, 12, 12, 12, 12, 12, 12, 0, 12, 12, 12, 12, 12, 12, 12, 12, 0, 0, 12, 12, 0, 0, 12, 12, 12, 0, 0, 12, 12, 0, 0, 12, 12, 0, 12, 12, 0, 0, 12, 12, 0, 0, 12, 12, 0, 0, 12, 12, 12, 12, 0, 12, 12, 12, 0, 12, 12, 0, 0, 0, 12, 12, 0, 0, 0, 12, 12, 0, 12, 12, 0, 0, 0, 12, 12, 12, 12, 12, 0, 0, 0, 0, 12, 12, 12, 12, 12, 12, 12, 12, 0, 12, 12, 12, 12, 12, 0, 0, 12, 12, 0, 0, 12, 12, 0, 0, 12, 12, 0, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 1, 2, 1, 0, 0, 5, 1, 2, 1, 0, 0, 7, 1, 2, 1, 9, 1, 1, 1, 1, 1, 2, 1, 1, 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, 2, 1, 0, 0, 13, 2, 1, 1, 0, 0, 15, 2, 1, 1, 1, 0, 0, 17, 2, 1, 1, 0, 0, 19, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 1, 0, 0, 21, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2 ]
[ 465, 802, 30, 3995, 203, 4068, 280, 2156, 440, 40880, 1182, 3586, 654, 3009, 328, 624, 17683, 6803, 810, 498, 393, 297, 7074, 1019, 32, 2760, 1895, 850, 922, 2998, 9442, 96, 683, 203, 106, 4068, 280, 2156, 463, 4068, 32, 2760, 1814, 850, 922, 2998, 9442, 96, 683, 203, 405, 934, 280, 2156, 463, 12293, 934, 810, 971, 2600, 399, 675, 272, 32, 2760, 1814, 850, 922, 2998, 9442, 96, 683, 203, 589, 1626, 81, 2609, 81, 8005, 81, 4068, 26, 2609, 711, 203, 202, 5729, 81, 2609, 280, 4247, 203, 202, 1347, 81, 98, 15354, 280, 301, 655, 26, 85, 711, 1665, 436, 281, 328, 802, 32, 98, 24661, 474, 802, 32, 17980, 111, 203, 202, 979, 1628, 328, 7618, 44, 357, 202, 928, 280, 1628, 32, 3227, 12605, 370, 330, 11134, 4512, 202, 5729, 81, 2609, 1454, 308, 928, 32, 7393, 26, 1347, 81, 98, 15354, 547, 5729, 922, 7201, 346, 474, 330, 11134, 203, 202, 601, 7216, 81, 2609, 32, 2998, 346, 203, 589, 5799, 81, 1112, 81, 998, 26, 1112, 81, 668, 711, 284, 5436, 35, 280, 2149, 284, 436, 3594, 328, 3594, 81, 668, 44, 291, 5436, 35, 32, 37329, 26, 1112, 30, 225, 34, 27, 4456, 5436, 35, 77, 1112, 79, 1454, 225, 35, 284, 442, 8594, 43270, 853, 30, 1202, 27, 436, 1202, 30, 786, 328, 5436, 35, 32, 3028, 28576, 9833, 47, 1815, 27, 225, 203, 589, 1930, 81, 668, 81, 83, 81, 2665, 26, 1112, 81, 668, 711, 203, 202, 2665, 35, 280, 2149, 203, 202, 979, 3594, 328, 3594, 81, 668, 44, 357, 202, 2665, 35, 32, 37329, 26, 1112, 30, 225, 34, 27, 203, 202, 601, 5436, 35, 203, 589, 8184, 81, 1553, 81, 4068, 26, 1112, 81, 668, 30, 1505, 81, 668, 711, 284, 5436, 35, 280, 2149, 284, 436, 3594, 328, 3594, 81, 668, 44, 291, 415, 3594, 646, 328, 1505, 81, 668, 44, 324, 5436, 35, 32, 37329, 26, 1112, 30, 225, 34, 27, 4288, 5436, 35, 77, 1112, 79, 1454, 225, 35, 284, 442, 8594, 43270, 853, 30, 1202, 27, 436, 1202, 30, 786, 328, 5436, 35, 32, 3028, 28576, 9833, 47, 1815, 27, 225, 203, 589, 2663, 81, 35, 34, 81, 4068, 26, 2609, 30, 1929, 47, 35, 34, 711, 203, 202, 15002, 280, 5799, 81, 1112, 81, 998, 26, 2969, 81, 2609, 81, 8005, 81, 4068, 26, 2609, 490, 203, 202, 1216, 463, 1382, 2663, 904, 101, 4630, 4942, 8153, 884, 6078, 904, 1929, 27, 203, 202, 979, 18754, 30, 3594, 328, 23310, 2867, 1516, 2786, 357, 202, 1216, 26, 1112, 30, 18754, 30, 18935, 34155, 102, 38977, 36, 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, 1, 1, 0, 3, 2, 2, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 6, 5, 4, 7, 6, 0, 3, 3, 2, 2, 8, 10, 10, 10, 10, 7, 6, 5, 4, 7, 6, 0, 3, 3, 2, 2, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 6, 5, 4, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 8, 8, 9, 8, 6, 5, 6, 6, 6, 8, 9, 9, 7, 7, 8, 9, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 6, 6, 8, 9, 8, 10, 8, 10, 4, 4, 7, 7, 7, 6, 6, 15, 14, 15, 14, 15, 15, 15, 15, 14, 13, 12, 11, 10, 8, 8, 10, 2, 2, 3, 3, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 8, 7, 8, 7, 8, 7, 7, 8, 7, 4, 4, 8, 7, 8, 7, 6, 6, 7, 2, 2, 3, 5, 8, 7, 7, 7, 6, 7, 8, 8, 7, 7, 10, 9, 10, 9, 7, 6, 7, 5, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 3, 8, 8, 7, 8, 7, 8, 7, 7, 8, 7, 2, 2, 3, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 5, 6, 6, 6, 7, 7, 5, 5, 5, 10, 9, 10, 9, 10, 9, 9, 10, 9, 6, 6, 10, 9, 10, 9, 8, 8, 9, 2, 2, 3, 5, 8, 7, 7, 7, 6, 7, 8, 8, 7, 7, 10, 9, 10, 9, 7, 6, 7, 5, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 2, 2, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 2, 2, 3, 3, 4, 4, 3, 3, 4, 6, 4, 3, 3, 7, 7, 8, 7, 7, 7, 7, 8, 12, 11, 10, 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 ]
[ 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, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 3, 3, 2, 2, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 4, 4, 3, 3, 0, 0, 0, 2, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 4, 4, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 5, 5, 0, 0, 2, 0, 0, 0, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 3, 2, 1, 0, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 2, 2, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 7, 7, 0, 0, 0, 4, 4, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 2, 0, 0, 0, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 3, 2, 1, 0, 0, 8, 8, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 1, 2, 2, 3, 1, 3, 2, 2, 0, 1, 1, 1, 1, 1, 1, 5, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 9042, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 669, 81, 2592, 26, 103, 25, 6446, 81, 12278, 370, 330, 10644, 81, 12278, 81, 6928, 370, 2855, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1536, 47, 2521, 30, 1769, 81, 1322, 47, 36, 39, 39, 471, 2855, 4986, 81, 1536, 47, 2700, 27, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 2592, 26, 103, 25, 6446, 81, 12278, 370, 330, 10644, 81, 12278, 81, 6928, 683, 284, 4549, 280, 301, 291, 1044, 25, 2393, 32, 1363, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 1564, 8885, 324, 1044, 25, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 42, 34, 45306, 324, 330, 11893, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 46046, 1176, 370, 5518, 5053, 452, 950, 1044, 20, 494, 710, 2393, 32, 7040, 785, 392, 330, 7919, 46819, 1578, 950, 330, 2700, 370, 330, 5006, 950, 330, 1815, 18143, 291, 801, 291, 1044, 25, 2393, 32, 9198, 950, 301, 324, 330, 4232, 950, 5053, 24576, 950, 11608, 103, 25, 1286, 81, 681, 505, 725, 81, 1172, 370, 1044, 25, 1286, 81, 681, 505, 1160, 370, 1044, 25, 10762, 2004, 683, 392, 330, 5665, 81, 36202, 950, 313, 1162, 103, 25, 1286, 81, 681, 370, 1044, 25, 10762, 2004, 1425, 5715, 330, 1473, 81, 426, 950, 330, 7040, 8885, 324, 330, 10762, 2004, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 35, 34, 34, 45306, 324, 330, 1286, 81, 681, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 370, 5518, 5053, 452, 950, 1044, 20, 494, 710, 1286, 2516, 32, 14264, 785, 3612, 471, 324, 1044, 25, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 39, 34, 18143, 291, 801, 291, 1044, 25, 2393, 32, 496, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 1240, 8885, 324, 330, 770, 81, 35683, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 370, 5518, 5053, 1536, 950, 330, 6665, 32, 6665, 32, 2174, 45306, 324, 330, 1935, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4477, 1176, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 41, 39, 370, 330, 5006, 950, 330, 1815, 45306, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 9, 9, 11, 11, 10, 11, 11, 11, 9, 7, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 10, 13, 13, 11, 13, 13, 7 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 5, 1, 2, 5, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 2, 3, 1, 2, 2 ]
[ 9592, 203, 12805, 436, 3708, 32, 3274, 1207, 102, 6502, 3312, 203, 9592, 203, 1070, 1207, 102, 6502, 1188, 5788, 30, 3111, 203, 1070, 4942, 1188, 595, 81, 404, 81, 17360, 81, 979, 81, 1382, 81, 7632, 30, 7725, 81, 17881, 81, 1094, 203, 1070, 9808, 81, 5522, 1188, 4158, 14507, 63, 81, 29718, 30, 7592, 81, 14211, 30, 3708, 81, 2040, 81, 10004, 30, 1015, 81, 14211, 81, 452, 81, 7632, 203, 589, 617, 1071, 81, 14211, 26, 2997, 30, 3708, 81, 681, 30, 3708, 81, 3550, 47, 2521, 711, 284, 595, 81, 404, 81, 17360, 81, 979, 81, 1382, 81, 7632, 26, 2997, 30, 330, 1160, 81, 7632, 683, 284, 1015, 81, 14211, 81, 452, 81, 7632, 26, 5860, 32, 17881, 81, 2665, 710, 1197, 45459, 5695, 2171, 30, 3708, 81, 681, 30, 3708, 81, 3550, 27, 284, 7725, 81, 17881, 81, 1094, 463, 20509, 683, 203, 50, 2997, 26, 103, 25, 59, 3860, 38462, 312, 313, 24183, 1446, 3730, 20, 3708, 623, 313, 24183, 1446, 3730, 20, 11549, 683, 203, 589, 2202, 81, 14211, 81, 1793, 81, 36456, 26, 2997, 30, 3708, 81, 681, 30, 20130, 711, 284, 617, 1071, 81, 14211, 26, 2997, 30, 3708, 81, 681, 30, 5053, 1449, 81, 36456, 950, 20130, 1748, 203, 50, 2997, 26, 103, 25, 59, 3860, 38462, 312, 3995, 1649, 313, 24183, 1446, 3730, 20, 313, 24183, 1446, 3730, 20, 3708, 623, 313, 24183, 1446, 3730, 20, 20130, 623, 5657, 683, 203, 589, 2202, 81, 14211, 81, 36456, 81, 4534, 26, 2997, 30, 3995, 1649, 30, 3708, 81, 681, 30, 20130, 30, 8063, 284, 617, 1071, 81, 14211, 26, 2997, 30, 3708, 81, 681, 30, 5053, 1449, 81, 36456, 950, 20130, 30, 10000, 330, 21785, 1911, 518, 950, 3995, 1649, 30, 10000, 330, 2245, 81, 4534, 81, 1640, 950, 2933, 1748, 203, 50, 2997, 26, 103, 25, 59, 3860, 38462, 312, 313, 24183, 1446, 3730, 20, 688, 9830, 322, 7592, 313, 24183, 1446, 3730, 20, 683, 203, 589, 2202, 81, 14211, 81, 1793, 81, 2245, 81, 10004, 26, 2997, 30, 3708, 81, 681, 30, 7592, 711, 284, 617, 1071, 81, 14211, 26, 2997, 30, 3708, 81, 681, 30, 5053, 2245, 10004, 950, 7592, 1748, 203, 50, 2997, 26, 103, 25, 59, 3860, 38462, 312, 313, 24183, 1446, 3730, 20, 3708, 683, 203, 589, 2202, 81, 14211, 26, 2997, 30, 3708, 81, 681, 711, 284, 617, 1071, 81, 14211, 26, 2997, 30, 3708, 81, 681, 27, 203, 50, 2997, 26, 103, 25, 59, 3860, 38462, 312, 3995, 1649, 313, 24183, 1446, 3730, 20, 313, 24183, 1446, 3730, 20, 3708, 623, 5657, 3454, 544, 683, 203, 589, 2202, 81, 3855, 81, 4534, 81, 14211, 26, 2997, 30, 3995, 1649, 30, 3708, 81, 681, 711, 284, 617, 1071, 81, 14211, 26, 2997, 30, 3708, 81, 681, 30, 5053, 21785, 1911, 518, 950, 3995, 1649, 30, 330, 2245, 81, 4534, 81, 1640, 950, 2933, 1748, 203, 50, 2997, 26, 103, 25, 8384, 8056, 483, 16533, 313, 24183, 1446, 3730, 20, 683, 203, 589, 739, 81, 6173, 81, 42795, 81, 1986, 26, 2997, 30, 3809, 4321 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 9, 8, 9, 9, 9, 7, 9, 9, 9, 7, 5, 5, 6, 6, 5, 5, 6, 6, 5, 2, 2, 5, 5, 5, 5, 5, 7, 7, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 2, 2, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 10, 10, 10, 10, 8, 7, 0, 2, 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, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 7, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 2, 2, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 10, 10, 10, 8, 7, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 2, 2, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 0, 2, 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, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 4, 4, 3, 2, 2, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 10, 10, 10, 10, 8, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 7, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 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, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 5, 0, 0, 0, 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, 2, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 5, 5, 5, 1, 1, 1, 2, 3, 2, 5, 5, 5, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 1, 0, 0, 1, 1, 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, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 5, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 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, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 3, 5, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 3619, 4343, 32, 1262, 32, 1707, 32, 5792, 1188, 40272, 81, 5792, 203, 3933, 4822, 280, 40272, 81, 5792, 463, 2751, 81, 5728, 370, 330, 3933, 4822, 683, 203, 3703, 4822, 280, 40272, 81, 5792, 463, 2751, 81, 5728, 370, 330, 3703, 4822, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 894, 81, 5431, 32, 858, 1188, 19205, 203, 1070, 4377, 2300, 1188, 4300, 1240, 12608, 1241, 203, 823, 2108, 3758, 1240, 12608, 1241, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 496, 280, 630, 32, 2682, 81, 496, 346, 284, 665, 894, 81, 6008, 81, 699, 81, 3127, 26, 784, 711, 291, 2234, 280, 4300, 1240, 12608, 1241, 1371, 324, 330, 699, 950, 330, 15351, 402, 370, 324, 330, 2895, 35, 950, 330, 35, 36, 37, 38, 39, 40, 370, 324, 330, 2895, 36, 950, 330, 35, 36, 37, 38, 39, 40, 370, 291, 1790, 291, 2080, 280, 2234, 32, 297, 81, 1327, 346, 291, 630, 32, 6549, 26, 1327, 27, 291, 952, 280, 2234, 32, 6008, 81, 699, 346, 291, 630, 32, 5299, 463, 15351, 402, 370, 952, 27, 284, 665, 894, 81, 6008, 81, 699, 81, 1870, 26, 784, 711, 291, 2234, 280, 4300, 1240, 12608, 1241, 1371, 324, 330, 699, 950, 630, 32, 496, 32, 699, 30, 324, 330, 2895, 35, 950, 330, 35, 36, 37, 38, 39, 40, 370, 324, 330, 2895, 36, 950, 330, 35, 36, 37, 38, 39, 40, 370, 291, 1790, 291, 2080, 280, 2234, 32, 297, 81, 1327, 346, 291, 630, 32, 14846, 26, 1327, 27, 291, 630, 32, 6549, 26, 1657, 26, 599, 32, 4275, 27, 610, 225, 35, 27, 291, 630, 32, 6549, 463, 699, 25, 328, 2234, 32, 4275, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 9, 9, 12, 12, 10, 12, 12, 12, 9, 9, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 9, 9, 12, 12, 10, 12, 13, 11, 12, 9, 9, 9, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 12, 11, 12, 10, 8, 8, 9, 7, 4, 4, 7, 8, 7, 10, 10, 8, 8, 9, 10, 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 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 7138, 1188, 319, 203, 1070, 3995, 1188, 16483, 30, 10477, 410, 225, 203, 1070, 7744, 1188, 319, 203, 465, 16672, 203, 1070, 19557, 1188, 319, 203, 823, 36841, 44, 334, 665, 1156, 1664, 3207, 784, 30, 498, 106, 30, 498, 107, 30, 489, 30, 42745, 30, 36406, 30, 16355, 30, 456, 711, 284, 630, 32, 62, 280, 308, 46239, 30, 25755, 27, 284, 630, 32, 64, 280, 489, 284, 630, 32, 16888, 280, 42745, 284, 630, 32, 631, 280, 36406, 284, 630, 32, 11756, 280, 16355, 284, 630, 32, 94, 280, 456, 284, 630, 3667, 5536, 346, 334, 665, 1156, 5536, 26, 784, 711, 284, 630, 32, 26648, 280, 1605, 284, 595, 280, 225, 34, 284, 310, 280, 225, 34, 284, 1015, 81, 96, 280, 2933, 284, 2218, 1015, 81, 96, 44, 397, 816, 280, 429, 34, 32, 39, 28, 784, 32, 62, 77, 34, 79, 474, 308, 96, 29, 34, 32, 39, 4586, 784, 32, 16888, 397, 415, 816, 848, 225, 34, 32, 39, 8088, 784, 32, 62, 77, 34, 14204, 784, 32, 16888, 7283, 35, 87, 31, 37, 44, 291, 1015, 81, 96, 280, 3177, 397, 813, 44, 291, 345, 280, 225, 34, 291, 1015, 81, 95, 280, 2933, 291, 2218, 1015, 81, 95, 44, 616, 533, 280, 429, 34, 32, 39, 28, 784, 32, 62, 77, 35, 79, 474, 308, 95, 29, 34, 32, 39, 4586, 784, 32, 631, 616, 415, 533, 848, 225, 34, 32, 39, 8088, 784, 32, 62, 77, 35, 14204, 784, 32, 631, 7283, 35, 87, 31, 37, 44, 324, 1015, 81, 95, 280, 3177, 616, 813, 44, 324, 630, 32, 26648, 32, 1689, 26, 15043, 26, 91, 490, 324, 630, 32, 26648, 77, 91, 997, 100, 280, 428, 106, 30, 107, 30, 34, 32, 34, 79, 324, 630, 32, 26648, 77, 91, 997, 96, 280, 428, 36, 32, 34, 8088, 21378, 26, 34, 30, 35, 7824, 34, 32, 39, 471, 34, 32, 34, 30, 34, 32, 34, 79, 324, 630, 32, 26648, 77, 91, 997, 104, 280, 428, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 79, 324, 630, 32, 26648, 77, 91, 997, 68, 280, 225, 34, 32, 39, 28, 784, 32, 11756, 324, 630, 32, 26648, 77, 91, 997, 94, 280, 630, 32, 94, 324, 630, 32, 26648, 77, 91, 997, 18632, 280, 225, 34, 32, 34, 324, 595, 1454, 225, 35, 324, 345, 1454, 225, 35, 291, 310, 1454, 225, 35, 334, 665, 2866, 26, 784, 30, 21932, 711, 284, 485, 304, 512, 280, 7138, 32, 2174, 346, 284, 963, 280, 2156, 26, 21932, 1947, 105, 683, 284, 963, 32, 1821, 3609, 9325, 432, 904, 86, 22401, 78, 96, 25, 904, 2069, 26, 784, 32, 26648, 490, 284, 963, 32, 1821, 3609, 13048, 544, 499, 904, 101, 78, 96, 25, 904, 596, 26, 23201, 512, 490, 284, 963, 32, 1821, 3609, 804, 225, 827, 10423, 225, 816, 261, 533, 261, 1288, 261, 28489, 261, 19123, 261, 354, 108, 261, 13736, 261, 14620, 261, 20207, 225, 38543, 456, 78, 96, 683, 284, 436, 298, 328, 630, 32, 26648 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 7, 8, 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, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 6, 6, 7, 4, 4, 6, 6, 7, 4, 4, 7, 7, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 12, 12, 12, 10, 13, 12, 13, 11, 12, 11, 9, 9, 13, 12, 13, 13, 13, 11, 12, 11, 12, 6, 6, 7, 8, 8, 11, 11, 11, 10, 15, 14, 15, 13, 14, 13, 14, 13, 14, 11, 10, 10, 10, 10, 7, 7, 7, 11, 11, 10, 10, 7, 7, 8, 8, 8, 11, 11, 12, 9, 9, 12, 12, 11, 11, 9, 9, 10, 11, 11, 10, 10, 10, 13, 13, 17, 17, 17, 15, 18, 17, 18, 16, 17, 16, 14, 14, 18, 17, 18, 18, 18, 16, 17, 16, 17, 11, 11, 12, 13, 13, 16, 16, 16, 15, 20, 19, 20, 18, 19, 18, 19, 18, 19, 16, 15, 15, 15, 15, 12, 12, 12, 16, 16, 15, 15, 12, 12, 13, 13, 13, 18, 19, 17, 18, 17, 19, 19, 20, 19, 14, 14, 19, 20, 18, 19, 18, 18, 16, 16, 18, 17, 18, 17, 18, 18, 18, 17, 14, 14, 19, 20, 18, 19, 18, 18, 16, 16, 19, 19, 19, 18, 22, 22, 23, 22, 23, 22, 21, 21, 21, 19, 18, 18, 18, 17, 18, 18, 18, 17, 14, 14, 19, 20, 18, 19, 18, 18, 16, 16, 18, 18, 18, 17, 18, 18, 18, 17, 18, 18, 18, 17, 14, 14, 19, 20, 18, 19, 18, 18, 16, 16, 18, 18, 18, 17, 19, 18, 19, 14, 14, 19, 20, 18, 19, 18, 18, 16, 16, 17, 18, 14, 14, 19, 20, 18, 19, 18, 18, 16, 16, 17, 17, 17, 14, 14, 16, 16, 17, 14, 14, 16, 16, 17, 9, 9, 11, 11, 12, 2, 2, 3, 4, 5, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 12, 11, 12, 10, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 11, 11, 10, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 4, 4, 5, 5, 5, 6, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 5, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 3, 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, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 1, 3, 3, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 4, 4, 4, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 3, 2, 5, 5, 5, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 5, 5, 5, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 3, 3, 3, 2, 5, 5, 5, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 4, 4, 5, 5, 5, 3, 2 ]
[ 465, 5741, 203, 1070, 12046, 858, 1188, 33870, 615, 30, 5592, 81, 2304, 203, 1070, 12046, 858, 32, 1356, 18321, 81, 2593, 1188, 1695, 30, 816, 1398, 101, 30, 47998, 203, 823, 13091, 720, 26, 668, 711, 284, 665, 1156, 1664, 3207, 784, 30, 27182, 47, 2521, 711, 291, 816, 81, 466, 280, 313, 27816, 2298, 4799, 3134, 31, 1094, 24414, 432, 1477, 33, 416, 11019, 20, 291, 537, 658, 280, 1605, 291, 436, 1623, 328, 27182, 44, 324, 415, 646, 438, 39288, 26, 681, 26, 1094, 471, 8825, 711, 400, 3636, 816, 1398, 101, 32, 6508, 18321, 74, 14547, 847, 26, 106, 81, 466, 27, 324, 415, 2069, 26, 1094, 27, 438, 646, 225, 36, 44, 400, 3636, 816, 1398, 101, 32, 6508, 18321, 74, 14547, 847, 26, 106, 81, 466, 27, 324, 537, 658, 32, 1689, 26, 7288, 26, 1094, 490, 291, 2599, 26, 3198, 720, 30, 630, 14585, 1664, 3207, 890, 658, 27, 284, 665, 5489, 81, 452, 81, 2543, 26, 784, 30, 1994, 711, 291, 415, 646, 438, 39288, 26, 681, 26, 2543, 471, 5592, 81, 2304, 32, 1308, 3350, 32, 1308, 711, 324, 3636, 10091, 440, 1308, 438, 646, 312, 6828, 3350, 32, 1308, 556, 22948, 657, 291, 436, 1477, 30, 943, 328, 630, 44, 324, 1105, 682, 280, 5053, 1366, 950, 1366, 30, 330, 416, 950, 416, 111, 324, 1994, 32, 1689, 26, 2593, 81, 2304, 32, 1308, 3350, 32, 1308, 463, 3585, 370, 1105, 682, 490, 203, 823, 4600, 5732, 26, 1439, 32, 6508, 18321, 5732, 1761, 711, 284, 1156, 18645, 505, 280, 1695, 32, 6508, 18321, 5732, 1761, 3667, 18645, 505, 474, 2726, 25560, 81, 19972, 370, 330, 2468, 370, 2270, 330, 1299, 3965, 683, 284, 665, 1156, 1664, 3207, 784, 30, 2965, 1057, 35, 43, 36, 32, 35, 40, 42, 32, 35, 36, 36, 32, 35, 370, 3706, 3965, 1057, 36, 39, 39, 32, 36, 39, 39, 32, 36, 39, 39, 32, 34, 370, 353, 33870, 615, 81, 2386, 47, 1439, 32, 1848, 615, 711, 291, 47998, 32, 5732, 2212, 463, 2468, 370, 630, 30, 2935, 81, 16689, 1057, 13093, 2604, 81, 426, 1057, 639, 370, 7686, 3879, 1057, 2468, 683, 291, 47998, 32, 5732, 2212, 463, 1299, 3965, 370, 630, 30, 2935, 81, 16689, 1057, 13093, 2604, 81, 426, 1057, 639, 370, 7686, 3879, 1057, 1299, 3965, 683, 291, 2599, 26, 2027, 5732, 30, 630, 14585, 1664, 3207, 1848, 615, 81, 2386, 47, 1848, 615, 81, 2386, 27, 291, 630, 32, 2593, 280, 1044, 13950, 639, 2965, 31197, 101, 25, 3706, 3965, 31197, 101, 13981, 639, 5844, 904, 308, 2468, 30, 3706, 3965, 27, 284, 665, 622, 81, 25560, 81, 19972, 26, 784, 711, 291, 5592, 3242, 761, 280, 630, 32, 2665, 81, 371, 463, 2593, 683, 291, 537, 668, 280, 1605, 291, 436, 1994, 328, 5592, 3242, 761, 32, 32852, 3247, 639, 33, 25560, 33, 3585, 7831, 324, 1477, 280, 1994, 32, 371, 463, 1366, 683, 4288, 943, 280, 1994, 32, 371, 463, 416, 683, 324, 537, 668, 32, 1689, 1162, 1366, 30, 943, 30, 9658, 291, 442, 13091, 720, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 10, 10, 12, 12, 13, 12, 10, 10, 7, 7, 9, 12, 12, 11, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 6, 6, 7, 10, 11, 10, 8, 8, 8, 9, 7, 7, 7, 9, 12, 12, 11, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 6, 6, 10, 9, 10, 9, 11, 11, 12, 11, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 8, 10, 10, 11, 10, 8, 11, 11, 10, 11, 11, 9, 10, 8, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 9, 8, 8, 12, 12, 11, 9, 9, 12, 12, 11, 9, 6, 6, 9, 10, 9, 13, 13, 13, 12, 13, 13, 11, 12, 11, 13, 13, 11, 12, 11, 0, 1, 1, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 5, 4, 4, 7, 8, 8, 8, 8, 6, 7, 7, 5, 5, 8, 8, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 6, 5, 7, 6, 7, 7, 4, 3, 3, 7, 8, 8, 7, 9, 9, 7, 7, 7, 9, 9, 8, 10, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 4, 4, 7, 8, 8, 7, 9, 9, 9, 7, 7, 7, 9, 9, 8, 10, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 10, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 9, 9, 9, 9, 7, 4, 4, 7, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 8, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 5, 5, 8, 8, 10, 11, 10, 12, 12, 6, 6, 8, 8, 10, 11, 10, 12, 12, 6, 6, 10, 9, 10, 9, 11, 10, 10, 10, 10, 4, 4, 5, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 2, 1, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 5, 5, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 3, 1, 0, 4, 4, 1, 2, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 7, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 5, 1, 1, 0, 0, 7, 1, 2, 1, 1, 9, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 5, 1, 1, 0, 0, 7, 1, 2, 1, 1, 9, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 3, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 5, 5, 0, 0, 0, 2, 1, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 1 ]
[ 225, 645, 22045, 1188, 1984, 4434, 203, 1070, 2676, 27386, 32, 15040, 32, 7128, 1188, 14161, 30, 14161, 27124, 4049, 203, 1070, 638, 5646, 1188, 9527, 1969, 30, 22641, 1969, 30, 43142, 1969, 30, 43142, 7558, 1969, 30, 766, 284, 42404, 11877, 1969, 30, 9665, 3911, 1969, 30, 14149, 8422, 1969, 30, 14741, 1969, 203, 505, 464, 505, 280, 2107, 62, 1583, 29720, 9610, 785, 203, 823, 498, 1583, 29720, 9610, 26, 9610, 711, 284, 21565, 2413, 280, 330, 641, 555, 304, 268, 2048, 1464, 32, 11850, 32, 94, 573, 32, 2173, 25, 284, 390, 527, 1781, 7877, 280, 2107, 34, 38, 87, 37, 39, 34, 43, 85, 36, 34, 329, 42, 28886, 1199, 37, 86, 34, 318, 37, 41, 3590, 37, 38, 1199, 36, 37366, 39, 318, 38, 3590, 38, 85, 37, 34, 83, 37, 40, 34, 39, 88, 40, 37, 38, 34, 37, 38, 35, 37, 34, 43, 43, 83, 43, 370, 400, 330, 39, 28368, 38, 83, 43, 31892, 735, 36, 39, 87, 38, 34, 40, 83, 34, 38, 86, 11675, 34, 85, 40, 35414, 31624, 41, 36, 86, 35, 35, 86, 37, 43, 38, 2087, 34, 38, 43, 41, 34, 35, 36516, 11627, 37, 86, 42, 39, 37, 86, 43, 370, 400, 330, 41, 41, 38, 329, 40, 88, 35, 85, 38, 35, 43, 34, 42, 37, 39, 38, 35, 83, 36, 41, 86, 43, 39, 40, 41, 36, 83, 42, 41, 83, 39, 32576, 39, 85, 42, 36, 86, 43, 38, 42, 37, 40, 42, 34, 34, 42, 39903, 36, 41, 40, 38, 87, 40, 39, 42, 40, 40, 88, 43, 370, 400, 330, 37, 1199, 36, 39, 40, 318, 23785, 41, 2653, 36, 39, 39, 40, 36, 39, 41, 36, 38, 84, 41, 87, 40, 36, 86, 38, 29423, 36, 36, 43, 39, 39, 41, 36, 36, 40, 37, 37, 40, 2653, 42, 41, 84, 43, 41, 39, 37, 34, 34, 40, 41, 36, 35, 88, 35, 40, 88, 785, 284, 3641, 28173, 280, 330, 3310, 31, 42, 25, 284, 14126, 81, 28322, 280, 14161, 32, 4975, 81, 28322, 69, 710, 22831, 785, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 21565, 2413, 280, 630, 32, 6177, 2413, 32, 38848, 24667, 291, 630, 32, 20474, 30, 630, 32, 16799, 280, 21565, 2413, 32, 2998, 463, 555, 370, 225, 36, 27, 291, 630, 32, 43686, 81, 23287, 280, 301, 324, 43142, 1969, 44, 21565, 2413, 474, 3056, 16351, 33, 17795, 718, 33, 8161, 33, 12646, 370, 324, 43142, 7558, 1969, 44, 21565, 2413, 474, 3056, 16351, 33, 17795, 718, 33, 8161, 33, 12646, 7558, 370, 324, 9527, 1969, 44, 21565, 2413, 474, 3056, 1055, 2827, 32, 916, 370, 324, 22641, 1969, 44, 21565, 2413, 474, 3056, 16351, 33, 17795, 718, 33, 52, 513, 4452, 33, 7995, 6384, 370, 324, 14149, 8422, 1969, 44, 21565, 2413, 474, 3056, 16351, 33, 17795, 3895, 33, 8391, 102, 32, 24105, 292, 277, 33, 15303, 292, 277, 63, 644, 14648, 8406, 97, 370, 291, 320, 291, 630, 32, 43686, 280, 301, 324, 630, 32, 43686, 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, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 6, 6, 9, 10, 10, 8, 9, 8, 4, 4, 8, 9, 7, 7, 8, 9, 6, 6, 9, 8, 9, 8, 10, 10, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 9, 8, 8, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 8, 8, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 8, 8, 10, 9, 9, 11, 11, 11, 11, 11, 7, 7, 9, 8, 8, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 8, 8, 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, 4, 4, 7, 8, 6, 6, 7, 7, 10, 11, 11 ]
[ -1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 11, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 4, 4, 4, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 5, 5, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 7, 7, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 9, 9, 0, 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, 4, 4, 0, 2, 0, 0, 2, 2, 0, 2, 2 ]
[ 465, 5237, 203, 465, 2322, 203, 465, 787, 1909, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 21379, 463, 497, 2847, 203, 505, 1648, 505, 280, 330, 34, 32, 35, 32, 34, 25, 203, 9081, 280, 428, 284, 330, 26275, 32, 407, 32, 4846, 431, 542, 370, 284, 330, 26275, 32, 407, 32, 33435, 378, 1059, 370, 284, 330, 26275, 32, 407, 32, 1146, 26275, 370, 284, 330, 26275, 32, 407, 32, 14550, 370, 284, 330, 26275, 32, 407, 32, 3403, 2634, 267, 370, 284, 330, 26275, 32, 407, 32, 1071, 687, 370, 203, 79, 203, 44223, 386, 81, 1286, 280, 330, 16361, 25, 203, 4846, 431, 542, 81, 1536, 81, 4545, 280, 2107, 7910, 785, 203, 33435, 378, 1059, 81, 5536, 280, 2933, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 2250, 280, 1044, 25, 2175, 31, 3209, 31, 7380, 1274, 25, 203, 11794, 280, 1044, 25, 36, 34, 35, 41, 30, 6597, 25, 203, 2116, 280, 1044, 25, 7732, 13417, 25, 203, 3779, 280, 1156, 1648, 505, 203, 1648, 280, 5608, 2473, 2524, 26, 3779, 32, 2998, 3949, 11968, 34, 44, 36, 1130, 203, 4189, 280, 1665, 203, 10444, 81, 15719, 280, 2107, 81, 1832, 785, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 10425, 81, 1017, 81, 20940, 280, 2933, 203, 916, 81, 4661, 280, 330, 26275, 81, 100, 671, 81, 4661, 25, 203, 916, 4756, 81, 15705, 280, 330, 2175, 31, 3209, 31, 7380, 1274, 31, 1427, 25, 203, 24189, 81, 7594, 280, 301, 203, 111, 203, 24189, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 2175, 31, 3209, 31, 7380, 1274, 32, 8581, 370, 275, 1044, 25, 2175, 31, 3209, 31, 7380, 1274, 12217, 370, 4081, 30, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 10440, 2590, 81, 1427, 30, 330, 2175, 31, 3209, 31, 7380, 1274, 370, 1090, 1044, 25, 2175, 31, 3209, 31, 7380, 1274, 12217, 370, 428, 2116, 614, 225, 35, 2177, 203, 8581, 1338, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 2175, 31, 3209, 31, 7380, 1274, 370, 275, 1044, 25, 2175, 31, 3209, 31, 7380, 1274, 12217, 370, 4081, 30, 330, 2175, 31, 3209, 31, 7380, 1274, 370, 275, 330, 57, 26497, 4253, 436, 322, 301, 4519, 32, 4021, 558, 111, 354, 36, 2719, 370, 330, 2554, 101, 1425, 203, 79, 203, 1146, 26275, 81, 9387, 280, 301, 284, 330, 2958, 950, 2726, 525, 555, 2958, 32, 21168, 32, 1088, 33, 272, 33, 5323, 13093, 1665, 471, 284, 330, 89, 648, 950, 2726, 641, 555, 89, 648, 31, 2958, 32, 21168, 32, 1088, 33, 272, 33, 5323, 13093, 1665, 471, 203, 111, 203, 3403, 2634, 267, 81, 2175, 81, 1427, 800, 280, 2933, 203, 3403, 2634, 267, 81, 10337, 81, 1427, 800, 280, 2933, 203, 3403, 2634, 267, 81, 1017, 81, 2055, 81, 1793, 81, 1427, 280, 3177, 203, 3403, 2634, 267, 81, 1017, 81, 10097, 81, 1793 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 7, 7, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 6, 5, 4, 8, 7, 8, 7, 9, 7, 6, 7, 5, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 5, 4, 5, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 6, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 9, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 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, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 1070, 4134, 1188, 1623, 18241, 203, 1070, 638, 1188, 47265, 74, 1647, 203, 1070, 816, 1647, 32, 106, 81, 1647, 1188, 3849, 3791, 1438, 81, 11483, 203, 823, 2108, 5095, 5560, 26, 1761, 1006, 74, 1647, 711, 284, 390, 17847, 5645, 280, 313, 1112, 81, 3209, 20, 284, 665, 617, 371, 81, 3707, 81, 1293, 26, 784, 711, 291, 4250, 81, 1293, 280, 2149, 291, 436, 1256, 328, 630, 32, 3707, 44, 324, 1789, 280, 630, 32, 13606, 77, 496, 32, 699, 997, 1526, 26, 784, 32, 371, 81, 965, 463, 371, 81, 1293, 2847, 324, 4250, 81, 1293, 77, 496, 32, 699, 79, 280, 2361, 32, 12474, 26, 1986, 32, 1286, 27, 291, 442, 4250, 81, 1293, 284, 665, 617, 1526, 81, 4068, 26, 784, 30, 8153, 711, 291, 4250, 81, 1293, 280, 2149, 291, 436, 1256, 328, 630, 32, 3707, 44, 324, 1789, 280, 630, 32, 13606, 77, 496, 32, 699, 997, 1526, 26, 400, 630, 32, 371, 81, 965, 463, 4737, 1425, 400, 5053, 8397, 81, 4068, 1178, 950, 8153, 835, 400, 4808, 81, 74, 81, 7921, 1345, 81, 12003, 1057, 5732, 14293, 25, 324, 829, 324, 4250, 81, 1293, 77, 496, 32, 699, 79, 280, 2361, 32, 12474, 26, 1986, 32, 1286, 27, 291, 442, 4250, 81, 1293, 284, 665, 617, 1553, 81, 1986, 26, 784, 30, 1789, 81, 8078, 30, 3809, 81, 1260, 101, 711, 291, 436, 952, 30, 1795, 328, 1789, 81, 8078, 32, 3028, 2262, 324, 5036, 81, 452, 81, 6055, 280, 739, 26, 1286, 32, 3494, 4251, 21034, 26, 470, 4901, 1393, 81, 4068, 7698, 324, 630, 32, 862, 7167, 1324, 26, 400, 301, 93, 44, 1795, 77, 93, 79, 436, 831, 328, 5036, 81, 452, 81, 6055, 835, 400, 301, 93, 44, 3809, 81, 1260, 101, 77, 699, 1674, 93, 79, 436, 831, 328, 5036, 81, 452, 81, 6055, 1748, 324, 2663, 81, 4068, 81, 1286, 280, 8594, 26, 400, 1795, 710, 1393, 81, 4068, 2188, 400, 1202, 47, 1094, 18241, 463, 878, 683, 324, 829, 324, 2663, 81, 4068, 81, 11015, 280, 8594, 26, 400, 3809, 81, 1260, 101, 77, 699, 5795, 1393, 81, 4068, 2188, 400, 1202, 47, 1094, 18241, 463, 878, 683, 324, 829, 324, 630, 32, 862, 720, 1324, 26, 1393, 81, 4068, 81, 1286, 30, 2663, 81, 4068, 81, 11015, 27, 284, 665, 894, 81, 4332, 81, 1293, 26, 784, 711, 291, 4250, 81, 1293, 280, 630, 1114, 371, 81, 3707, 81, 1293, 346, 291, 630, 32, 5299, 26, 324, 35617, 2524, 26, 470, 2009, 715, 1795, 710, 1517, 785, 715, 436, 4950, 1795, 328, 4250, 81, 1293, 32, 3028, 346, 715, 8834, 471, 324, 330, 3127, 683, 291, 3809, 81, 4332, 81, 605, 280, 301, 324, 1044, 1182, 102, 845, 950, 1044, 1182, 1556, 370, 324, 1044, 1182, 102, 4110, 81, 4068, 950, 6663, 324, 1044, 1330, 1557, 81, 998, 950, 225, 34, 30, 324, 1044, 1182, 356, 13779, 950, 3177, 30, 324, 1044, 1330, 520, 81, 4068, 950, 6663, 324, 1044, 5438, 297, 1066, 81, 8397, 81, 11650, 101, 950, 3177, 291, 320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 8, 8, 12, 13, 11, 13, 12, 13, 11, 11, 10, 13, 12, 13, 13, 13, 12, 14, 14, 14, 14, 6, 6, 10, 10, 9, 11, 10, 11, 9, 8, 8, 10, 11, 10, 12, 11, 12, 10, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 8, 8, 12, 13, 11, 13, 12, 13, 11, 11, 10, 10, 10, 12, 13, 13, 13, 12, 14, 14, 10, 10, 14, 14, 14, 14, 14, 12, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 11, 13, 13, 13, 10, 10, 6, 6, 10, 10, 9, 11, 10, 11, 9, 8, 8, 10, 11, 10, 12, 11, 12, 10, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 6, 6, 5, 5, 8, 8, 7, 8, 7, 5, 5, 9, 9, 9, 9, 8, 8, 12, 15, 14, 15, 14, 11, 10, 12, 12, 15, 15, 15, 15, 6, 6, 9, 10, 10, 10, 9, 9, 9, 12, 11, 11, 12, 13, 12, 10, 11, 11, 11, 12, 12, 12, 12, 10, 9, 9, 12, 11, 11, 14, 14, 14, 13, 14, 13, 13, 12, 10, 11, 11, 11, 12, 12, 12, 12, 10, 6, 6, 9, 9, 9, 9, 8, 8, 10, 10, 10, 11, 13, 13, 13, 13, 10, 10, 11, 13, 13, 13, 15, 15, 10, 10, 6, 6, 9, 9, 9, 9, 8, 8, 10, 10, 10, 13, 13, 13, 12, 13, 12, 13, 13, 13, 13, 10, 10, 11, 13, 13, 13, 15, 15, 10, 10, 6, 6, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 7, 7, 10, 9, 11, 11, 12, 12, 13, 15, 15, 12, 12, 13, 14, 13, 13, 16, 16, 15, 16, 15, 12, 12, 9, 7, 7, 9, 9, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 8, 7, 7, 10, 10, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 10, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 5, 1, 1, 2, 1, 1, 5, 5, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 5, 5, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 1, 1, 2, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 3, 0, 0, 1, 1, 2, 1, 1, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 3, 2, 2, 0, 1, 1, 1, 2, 5, 2, 2, 2, 2, 0, 1, 1, 2, 7, 2, 2, 2, 0, 1, 1, 1, 2, 9, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 11, 2, 2 ]
[ 465, 3619, 105, 764, 203, 1070, 6765, 17594, 32, 3527, 32, 2429, 1188, 308, 284, 38604, 81, 4758, 4006, 7117, 30, 284, 38604, 81, 6224, 81, 10115, 30, 284, 38604, 81, 11493, 81, 6224, 30, 284, 47729, 81, 4758, 4006, 7117, 30, 284, 47729, 81, 6224, 30, 284, 47729, 81, 6224, 81, 10115, 30, 284, 14160, 2216, 30, 203, 27, 203, 1070, 6765, 17594, 32, 1040, 1188, 1963, 619, 1963, 81, 1040, 203, 1070, 6765, 17594, 32, 1040, 32, 1489, 1188, 308, 284, 1963, 81, 17473, 81, 95, 3911, 81, 452, 81, 15254, 13762, 619, 345, 3911, 81, 452, 81, 15254, 13762, 30, 203, 27, 203, 1070, 638, 1188, 4085, 10383, 30, 624, 764, 3033, 203, 589, 4705, 81, 5134, 26, 31667, 30, 1359, 30, 1015, 81, 9244, 30, 21067, 81, 1338, 47, 2521, 711, 284, 436, 6147, 328, 3619, 105, 764, 32, 371, 81, 2429, 81, 16160, 3883, 2262, 291, 617, 314, 280, 6147, 32, 1473, 81, 314, 346, 474, 6147, 32, 426, 346, 291, 415, 617, 314, 646, 328, 35741, 32, 605, 77, 16799, 11159, 5665, 81, 3631, 18270, 324, 1015, 81, 9244, 2009, 73, 764, 6108, 26, 2429, 30, 35741, 14829, 284, 436, 6147, 328, 3619, 105, 764, 32, 371, 81, 2429, 81, 6332, 2262, 291, 617, 314, 280, 6147, 32, 1473, 81, 314, 346, 474, 6147, 32, 426, 346, 291, 415, 617, 314, 646, 328, 35741, 32, 605, 77, 16799, 11159, 5665, 81, 3631, 18270, 324, 1015, 81, 9244, 2009, 73, 764, 6108, 26, 2429, 30, 35741, 14829, 203, 823, 624, 764, 6108, 26, 73, 764, 3033, 30, 14160, 2216, 711, 284, 2498, 665, 2498, 81, 11043, 81, 452, 81, 31667, 26, 784, 711, 291, 630, 32, 31667, 32, 605, 77, 16799, 11159, 9244, 9557, 2429, 6494, 1689, 26, 784, 27, 284, 477, 2433, 284, 665, 438, 81, 267, 26, 784, 711, 291, 442, 630, 32, 105, 764, 32, 1293, 346, 284, 477, 2433, 284, 665, 29324, 26, 784, 711, 291, 415, 630, 32, 105, 764, 32, 29006, 346, 438, 646, 1665, 44, 324, 442, 629, 26, 784, 32, 105, 764, 32, 29006, 346, 319, 225, 36, 39, 39, 27, 291, 442, 1665, 284, 477, 2433, 284, 665, 28068, 81, 1489, 26, 784, 711, 291, 415, 630, 32, 105, 764, 32, 25166, 81, 2204, 81, 1489, 2262, 324, 442, 1963, 81, 1040, 32, 1489, 81, 2204, 81, 452, 81, 3914, 2740, 784, 32, 105, 764, 32, 1489, 81, 2204, 1157, 291, 415, 630, 32, 105, 764, 32, 25166, 81, 31047, 81, 13137, 1213, 2262, 324, 35243, 280, 630, 32, 105, 764, 32, 1489, 81, 31047, 346, 324, 19651, 1213, 280, 630, 32, 105, 764, 32, 1489, 81, 13137, 1213, 346, 324, 415, 35243, 438, 646, 1665, 461, 19651, 1213, 438, 646, 1665, 44, 400, 442, 35243, 319, 225, 37, 40, 34, 30, 19651, 1213, 319, 225, 35, 34, 34, 291, 442, 1665, 284, 477, 2433, 284, 665, 1963, 81, 1433, 26, 784, 711, 291, 415, 646, 630, 32, 105, 764, 32, 25166, 81, 17473, 2262, 324, 442, 1665, 291, 442, 1963, 81, 1040, 32, 1489, 81, 17473, 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, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 3, 3, 6, 6, 5, 6, 6, 6, 6, 6, 6, 5, 3, 3, 7, 6, 6, 9, 10, 10, 10, 9, 7, 7, 9, 10, 9, 4, 4, 5, 7, 6, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 5, 5, 9, 9, 9, 12, 12, 12, 12, 13, 12, 12, 12, 2, 2, 3, 3, 3, 6, 6, 5, 6, 6, 6, 6, 6, 5, 3, 3, 7, 6, 6, 9, 10, 10, 10, 9, 7, 7, 9, 10, 9, 4, 4, 5, 7, 6, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 5, 5, 9, 9, 9, 12, 12, 12, 12, 13, 12, 12, 12, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 1, 1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 12, 13, 11, 12, 10, 11, 10, 11, 11, 10, 10, 8, 7, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 10, 8, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 11, 11, 9, 10, 9, 7, 7, 7, 6, 6, 6, 8, 10, 15, 14, 15, 15, 13, 14, 13, 11, 11, 12, 12, 12, 10, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 10, 8, 9, 9, 9, 9, 9, 8, 6, 6, 8, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 15, 14, 15, 15, 13, 14, 14, 14, 13, 5, 5, 6, 9, 10, 10, 8, 9, 9, 9, 9, 9, 9, 8, 6, 6, 9, 9, 12, 13, 13, 11, 12, 12, 12, 11, 7, 7, 10, 9, 9, 12, 13, 13, 11, 12, 12, 12, 12, 11, 7, 7, 8, 10, 10, 10, 9, 9, 11, 10, 10, 10, 8, 8, 8, 10, 12, 12, 13, 13, 13, 11, 11, 13, 12, 12, 13, 13, 13, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 10, 11, 11, 9, 10, 10, 10, 9, 6, 6, 8, 5, 5, 6, 9, 9, 8, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 3, 3, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 5, 5, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 5, 5, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 6, 6, 0, 0, 2, 2, 2, 2, 2, 2, 3, 1, 3, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 4, 4, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 4, 4, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 3, 3, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 4, 4, 2, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 4, 4, 1, 0, 0, 0, 2, 2, 2, 2 ]
[ 465, 33664, 203, 1070, 11548, 81, 12617, 32, 2076, 1188, 4361, 203, 1070, 1230, 81, 12617, 32, 2076, 1188, 892, 203, 1070, 6677, 81, 12154, 1188, 390, 104, 13483, 203, 465, 6677, 36, 203, 465, 6436, 619, 2065, 203, 465, 14785, 619, 5239, 203, 465, 41947, 81, 893, 203, 823, 47288, 7929, 4055, 2262, 284, 665, 1156, 1664, 3207, 784, 711, 291, 41947, 81, 893, 32, 16877, 81, 4984, 81, 363, 81, 8281, 346, 291, 630, 1114, 2848, 280, 5239, 32, 3135, 346, 291, 41947, 81, 893, 32, 1297, 81, 2255, 346, 291, 630, 1114, 4126, 81, 12154, 280, 390, 104, 13483, 346, 291, 630, 1114, 1113, 280, 33664, 32, 16678, 463, 893, 370, 4361, 30, 630, 32, 4383, 30, 5523, 81, 891, 47, 35, 27, 291, 630, 1114, 2862, 280, 33664, 32, 16318, 463, 1267, 370, 892, 30, 5523, 81, 891, 47, 35, 27, 291, 630, 32, 5020, 81, 10402, 280, 33664, 32, 371, 81, 753, 463, 112, 5020, 81, 10402, 370, 225, 34, 32, 35, 27, 291, 630, 32, 539, 81, 1393, 81, 93, 280, 33664, 32, 371, 81, 753, 463, 112, 539, 81, 1393, 81, 93, 370, 225, 39, 27, 284, 665, 3309, 26, 784, 30, 1778, 81, 2076, 711, 291, 6677, 81, 893, 280, 630, 1114, 4126, 81, 12154, 32, 1275, 2076, 81, 452, 81, 4126, 36, 26, 893, 81, 2076, 30, 313, 84, 771, 42, 657, 291, 1778, 81, 605, 280, 6677, 36, 32, 449, 4434, 3949, 3072, 370, 6677, 81, 893, 5594, 35, 997, 41243, 346, 291, 16783, 1449, 81, 6800, 280, 630, 1114, 2848, 32, 2255, 32, 371, 81, 6800, 81, 1170, 81, 426, 463, 28560, 44, 34, 683, 291, 18679, 280, 630, 1114, 2848, 32, 1945, 26, 324, 16783, 1449, 81, 6800, 30, 5053, 11867, 60, 7685, 33, 8078, 44, 34, 950, 1778, 81, 605, 1748, 291, 18679, 280, 2065, 32, 28468, 26, 20283, 27, 291, 1541, 81, 10122, 280, 41947, 81, 893, 32, 1212, 10136, 346, 291, 2663, 81, 93, 280, 18679, 32, 1132, 373, 346, 6448, 784, 32, 539, 81, 1393, 81, 93, 44, 1674, 23523, 35, 79, 291, 436, 1541, 81, 314, 328, 2663, 81, 93, 44, 324, 13462, 81, 800, 280, 1541, 81, 10122, 32, 314, 81, 452, 81, 800, 26, 1251, 81, 314, 27, 324, 6793, 280, 18679, 77, 1251, 81, 314, 79, 324, 415, 6793, 848, 630, 32, 5020, 81, 10402, 44, 400, 33664, 32, 751, 1338, 15339, 101, 308, 5020, 280, 16125, 39, 88, 9905, 904, 308, 18184, 81, 800, 30, 6793, 490, 400, 630, 1114, 2862, 32, 7211, 26, 18184, 81, 800, 27, 284, 665, 2575, 26, 784, 711, 291, 33664, 32, 12868, 346, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 41947, 81, 893, 32, 5522, 81, 1132, 346, 284, 33664, 32, 1664, 81, 1251, 463, 20932, 2408, 1867, 683, 284, 8482, 280, 47288, 7929, 4055, 346, 284, 8482, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 8, 8, 9, 10, 8, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 8, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 9, 8, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 12, 11, 12, 12, 11, 13, 13, 11, 12, 12, 11, 10, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 10, 11, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 9, 9, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 11, 9, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 10, 11, 11, 10, 8, 12, 11, 12, 12, 12, 12, 12, 9, 8, 8, 10, 7, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 11, 11, 10, 6, 6, 8, 8, 9, 10, 10, 10, 9, 6, 6, 7, 8, 8, 9, 10, 10, 10, 7, 7, 7, 11, 12, 12, 11, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 13, 13, 13, 8, 8, 12, 13, 11, 12, 11, 12, 12, 12, 11, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 6, 6, 5, 6, 6, 6, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 2, 2, 4, 4, 6, 6, 6, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 5, 5, 1, 1, 0, 6, 6, 1, 1, 0, 7, 7, 0, 0, 0, 8, 8, 1, 1, 2, 8, 8, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 5, 2, 1, 1, 0, 0, 7, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 3, 1, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 4, 4, 7, 1, 1, 7, 7, 3, 3, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 2, 2, 2, 2, 2, 5, 5, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 9, 9, 0, 0, 1, 1, 1, 1, 9, 9, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 4134, 203, 465, 6436, 619, 2065, 203, 465, 13092, 203, 465, 12643, 619, 6121, 203, 465, 12643, 1114, 4266, 619, 13845, 203, 1070, 12643, 32, 23692, 1188, 5069, 1261, 203, 1070, 12643, 32, 4882, 32, 6728, 32, 1439, 1188, 3772, 11196, 1733, 203, 823, 2108, 17540, 11196, 26, 1761, 11196, 1733, 711, 284, 665, 894, 81, 10337, 81, 4079, 4177, 81, 1253, 26, 784, 30, 1169, 81, 11081, 81, 18246, 711, 291, 312, 280, 6121, 32, 955, 2009, 1815, 30, 3177, 30, 1665, 614, 9710, 347, 4398, 657, 291, 3089, 280, 18623, 26, 83, 30, 1169, 81, 11081, 81, 18246, 27, 291, 13845, 32, 862, 81, 6728, 81, 955, 81, 2228, 26, 520, 26, 1815, 471, 3089, 26, 2356, 32, 2420, 5908, 1815, 2610, 291, 13845, 32, 862, 81, 6728, 81, 955, 81, 2228, 26, 520, 26, 2700, 471, 3089, 26, 2356, 32, 2420, 5908, 2700, 2610, 284, 665, 622, 81, 520, 81, 1070, 81, 426, 26, 784, 30, 3089, 81, 426, 711, 291, 4504, 81, 520, 426, 280, 3089, 81, 426, 32, 7201, 14715, 657, 291, 4504, 81, 520, 426, 280, 4504, 81, 520, 426, 415, 313, 17316, 20, 328, 4504, 81, 520, 426, 813, 4504, 81, 520, 426, 474, 25850, 291, 1596, 44, 324, 3089, 280, 18623, 26, 2989, 30, 4504, 81, 520, 426, 27, 291, 2940, 29316, 44, 324, 1118, 98, 280, 18623, 26, 2989, 30, 4504, 81, 520, 426, 77, 35, 19572, 324, 3089, 280, 9254, 816, 30, 533, 44, 1118, 98, 26, 107, 30, 816, 27, 291, 442, 3089, 284, 665, 894, 81, 2951, 81, 1253, 26, 784, 30, 1169, 81, 11081, 81, 18246, 711, 291, 312, 280, 6121, 32, 955, 25619, 9710, 347, 4398, 657, 291, 3089, 81, 426, 280, 1169, 81, 11081, 81, 18246, 291, 1056, 280, 18623, 26, 83, 30, 3089, 81, 426, 2502, 1815, 27, 291, 13845, 32, 862, 81, 6728, 81, 955, 81, 2228, 26, 83, 30, 1056, 27, 291, 1056, 280, 18623, 26, 83, 30, 3089, 81, 426, 2502, 2700, 27, 291, 13845, 32, 862, 81, 6728, 81, 955, 81, 2228, 26, 83, 30, 1056, 27, 284, 665, 894, 81, 11081, 81, 1322, 81, 46035, 81, 16708, 26, 784, 30, 1169, 81, 11081, 81, 18246, 711, 291, 3089, 81, 426, 280, 1169, 81, 11081, 81, 18246, 291, 312, 280, 6121, 32, 955, 2009, 1815, 30, 3177, 30, 1665, 614, 9710, 347, 4398, 657, 291, 3124, 280, 313, 46490, 2298, 2530, 372, 8868, 20, 291, 623, 13092, 32, 16708, 26, 22239, 30, 2530, 47, 2076, 711, 324, 18623, 26, 83, 30, 3089, 81, 426, 27, 2009, 1815, 30, 3177, 1130, 291, 623, 13092, 32, 16708, 26, 22239, 30, 2530, 47, 2076, 711, 324, 18623, 26, 83, 30, 3089, 81, 426, 2502, 2356, 32, 955, 2009, 1815, 30, 3177, 5259, 291, 623, 13092, 32, 16708, 26, 22239, 30, 2530, 47, 2076, 711, 324, 18623, 26, 83, 30, 3089, 81, 426, 2502, 7111, 32, 955, 2009, 1815, 30, 3177, 614, 9710, 347, 4398, 2131, 284, 665, 894, 81, 11081, 81, 10095, 81, 16708, 26, 784, 30, 1169, 81, 11081, 81, 18246, 711, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 9, 9, 9, 9, 9, 8, 9, 11, 11, 4, 4, 6, 6, 8, 9, 8, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 9, 9, 10, 9, 7, 9, 12, 11, 12, 12, 12, 11, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 9, 9, 10, 9, 7, 9, 12, 11, 12, 12, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 7, 7, 10, 10, 8, 8, 9, 9, 9, 7, 7, 9, 9, 9, 8, 8, 4, 4, 5, 5, 5, 8, 8, 10, 11, 10, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 6, 10, 9, 9, 11, 12, 11, 11, 13, 13, 13, 12, 14, 13, 7, 7, 9, 9, 10, 11, 11, 10, 10, 12, 12, 13, 12, 12, 12, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 6, 6, 8, 9, 8, 8, 9, 11, 11, 4, 4, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 6, 6, 9, 10, 9, 9, 10, 10, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 7, 7, 4, 4, 6, 6, 9, 10, 9, 9, 10, 10, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 9, 9, 9, 9, 8, 9, 11, 11, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 5, 9, 10, 9, 10, 9, 9, 10, 11, 9, 5, 5, 10, 11, 10, 10, 11, 11, 10, 9, 11, 10, 10, 10, 4, 4, 5, 9, 10, 9, 10, 9, 9, 10, 11, 9, 5, 5, 10, 11, 10, 10, 11, 11, 10, 12, 11, 12, 11, 13, 12, 12, 12, 4, 4, 5, 9, 10, 9, 10, 9, 9, 10, 11, 9, 5, 5, 10, 11, 10, 10, 11, 11, 10, 12, 11, 12, 11, 13, 12, 12, 12, 11, 12, 14, 14, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 2, 1, 1, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 4, 4, 2, 2, 2, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 3, 0, 2, 3, 3, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 4, 4, 3, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 0, 0, 0, 2, 1, 1, 3, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 2, 1, 1, 1, 1, 3, 2, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 1, 3, 3, 1, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 5, 0, 2, 1, 1, 1, 1, 3, 2, 1, 5, 5, 1, 1, 1, 1, 3, 3, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 4 ]
[ 1070, 6424, 282, 22919, 32, 39033, 1188, 319, 203, 465, 8745, 203, 7508, 280, 31571, 5897, 346, 203, 7508, 32, 1689, 26, 13457, 1711, 26, 39, 34, 34, 34, 490, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 10374, 2422, 48, 100, 2131, 203, 7508, 32, 1689, 26, 2304, 32, 2130, 26037, 1711, 1157, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 10374, 2422, 48, 4625, 2131, 203, 7508, 32, 1689, 26, 2304, 32, 3271, 21430, 1711, 26, 284, 313, 35, 32, 9041, 432, 803, 392, 284, 3037, 4758, 9627, 815, 26543, 44, 225, 330, 19016, 372, 312, 1682, 432, 25163, 420, 35, 13042, 275, 313, 262, 46969, 15412, 44, 225, 330, 19016, 372, 312, 1682, 432, 25163, 420, 35, 370, 6213, 47, 35, 392, 275, 313, 8895, 55, 1405, 21451, 44, 330, 19016, 372, 312, 1682, 432, 25163, 19325, 3193, 225, 35, 25, 23821, 203, 7508, 32, 1689, 26, 2304, 32, 2130, 26037, 1711, 1157, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 440, 3211, 2131, 203, 7508, 32, 1689, 26, 2304, 32, 3271, 21430, 1711, 26, 284, 313, 36, 32, 7064, 9146, 392, 284, 3037, 4758, 9627, 815, 26543, 44, 225, 330, 12981, 884, 646, 1755, 3333, 372, 1930, 30, 2953, 884, 3333, 372, 793, 32, 11228, 3049, 1770, 6078, 392, 275, 313, 262, 46969, 15412, 44, 225, 330, 12981, 884, 646, 1755, 3333, 372, 1930, 30, 5769, 6213, 47, 35, 392, 275, 313, 8895, 55, 1405, 21451, 44, 330, 12981, 884, 646, 1755, 3333, 372, 1930, 30, 2953, 884, 3333, 372, 793, 32, 11228, 3049, 1770, 6078, 23821, 203, 7508, 32, 1689, 26, 2304, 32, 2130, 26037, 1711, 1157, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 440, 3211, 2131, 203, 7508, 32, 1689, 26, 2304, 32, 3271, 21430, 1711, 26, 284, 313, 37, 32, 7064, 9146, 392, 284, 3037, 4758, 9627, 815, 26543, 44, 225, 330, 35, 32, 15653, 2769, 322, 225, 806, 996, 884, 8113, 2504, 5808, 13042, 275, 313, 262, 46969, 15412, 44, 225, 330, 35, 32, 15653, 2769, 322, 225, 806, 996, 884, 370, 6213, 47, 35, 392, 275, 313, 8895, 55, 1405, 21451, 44, 330, 35, 32, 15653, 2769, 322, 225, 806, 996, 884, 8113, 2504, 5808, 4564, 23821, 203, 7508, 32, 1689, 26, 2304, 32, 2130, 26037, 1711, 1157, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 440, 3211, 2131, 203, 7508, 32, 1689, 26, 2304, 32, 3271, 21430, 1711, 26, 284, 313, 38, 32, 7064, 9146, 392, 284, 3037, 4758, 9627, 815, 26543, 44, 225, 330, 36, 32, 26487, 1946, 461, 16932, 5430, 432, 1344, 1991, 17128, 10375, 688, 884, 298, 33868, 372, 322, 25397, 461, 6919, 1629, 13042, 275, 313, 262, 46969, 15412, 44, 225, 330, 36, 32, 26487, 1946, 461, 16932, 1024, 370, 6213, 47, 35, 392, 275, 313, 8895, 55, 1405, 21451, 44, 330, 36, 32, 26487, 1946, 461, 16932, 5430, 432, 1344, 1991, 17128, 10375, 688, 884, 298, 33868, 372, 322, 25397, 461, 6919, 1629, 4564, 23821, 203, 7508, 32, 1689, 26, 2304, 32, 2130, 26037, 1711, 1157, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 440, 3211 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 4, 0, 4, 3, 4, 3, 5, 5, 5, 6, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 7, 7, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 7, 7, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 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, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1 ]
[ 2206, 203, 1070, 8527, 32, 12023, 1188, 5605, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 465, 7443, 6749, 348, 32, 3550, 619, 7443, 85, 81, 3550, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 4549, 1188, 319, 203, 823, 23574, 10144, 26, 2300, 32, 3113, 318, 10144, 711, 284, 1542, 280, 23574, 203, 823, 15196, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 328, 4446, 280, 428, 10963, 10144, 79, 284, 1149, 81, 2029, 280, 2726, 11986, 370, 27, 284, 3829, 280, 2726, 878, 370, 330, 4568, 81, 12565, 81, 21750, 370, 330, 11986, 683, 284, 665, 1539, 668, 81, 1071, 26, 784, 30, 1326, 30, 6717, 81, 1819, 47, 2521, 711, 291, 588, 351, 588, 351, 588, 351, 415, 30779, 32, 5740, 32, 998, 2262, 324, 2401, 81, 11986, 81, 314, 280, 30779, 32, 5740, 32, 1174, 81, 1170, 12605, 3174, 11968, 34, 997, 314, 324, 415, 646, 1326, 32, 2788, 44, 400, 1326, 32, 2788, 280, 301, 103, 25, 11986, 505, 314, 505, 16925, 950, 15390, 26, 2135, 81, 11986, 81, 314, 4370, 291, 442, 2599, 26, 9927, 4191, 30, 630, 547, 2342, 668, 81, 1071, 26, 1357, 30, 6717, 81, 1819, 27, 203, 823, 15196, 10144, 26, 2300, 32, 3113, 318, 10144, 711, 284, 1542, 280, 15196, 284, 6717, 280, 225, 34, 203, 823, 30779, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 328, 4446, 280, 428, 9927, 10144, 79, 203, 2300, 32, 2851, 32, 3317, 26, 9927, 30, 15196, 4191, 27, 203, 2300, 32, 2851, 32, 3317, 26, 20041, 30, 30779, 4191, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 4, 4, 3, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 5, 2, 2, 5, 5, 4, 4, 7, 7, 5, 2, 2, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 6, 6, 11, 12, 10, 11, 11, 11, 10, 12, 12, 9, 8, 8, 4, 4, 5, 6, 7, 8, 5, 5, 5, 9, 10, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 13, 13, 13, 13, 13, 12, 2, 2, 3, 7, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 5, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 5, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 4, 3, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 0, 1, 2, 2, 2, 2, 6, 6, 0, 0, 0, 7, 7, 1, 2, 0, 1, 2, 2, 2, 7, 7, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 5, 5, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 0, 8, 8, 1, 2, 0, 1, 2, 2, 2, 2, 8, 8, 0, 0, 4, 4, 0, 0, 2, 0, 9, 9, 1, 2, 0, 1, 2, 2, 2, 9, 9, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 465, 2322, 203, 465, 19757, 203, 465, 8529, 761, 203, 465, 22977, 203, 1070, 5592, 32, 48609, 1188, 6828, 3350, 203, 465, 2361, 203, 823, 2108, 13054, 11905, 3810, 385, 7550, 10905, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1297, 81, 4652, 81, 6390, 26, 784, 711, 291, 19757, 32, 23741, 346, 291, 2322, 32, 31015, 26, 4850, 32, 74, 11905, 1215, 27, 291, 19757, 32, 3815, 440, 1088, 32, 106, 11905, 32, 858, 657, 291, 2322, 32, 10174, 440, 1088, 32, 106, 11905, 32, 858, 657, 291, 2322, 32, 31015, 463, 1088, 32, 106, 11905, 32, 858, 683, 291, 4774, 280, 19757, 32, 8472, 81, 9857, 474, 19757, 32, 9004, 7923, 474, 766, 324, 313, 10495, 11905, 31, 4652, 429, 98, 2603, 429, 83, 313, 474, 19757, 32, 27532, 81, 4959, 474, 330, 429, 102, 5335, 474, 19757, 32, 5670, 474, 6113, 330, 474, 19757, 32, 2775, 1215, 474, 2430, 877, 858, 725, 33, 1297, 81, 1320, 81, 6390, 5681, 291, 308, 601, 81, 687, 30, 1688, 27, 280, 19757, 32, 371, 1517, 2024, 26, 3515, 27, 291, 1503, 280, 19757, 32, 1553, 81, 10495, 11905, 81, 1648, 26, 784, 30, 313, 10938, 657, 291, 1845, 5505, 280, 2322, 32, 26366, 26, 500, 32, 33115, 1157, 291, 28791, 2380, 280, 225, 34, 291, 415, 19757, 32, 4959, 863, 313, 769, 4038, 31, 4190, 563, 324, 436, 595, 328, 2155, 26, 1657, 26, 368, 5505, 8531, 400, 415, 1845, 5505, 77, 91, 997, 20643, 5791, 25245, 657, 461, 313, 106, 42, 40, 20, 328, 1845, 5505, 77, 91, 2786, 528, 415, 19757, 32, 5670, 610, 313, 40, 38, 563, 715, 630, 32, 33966, 440, 40, 38, 392, 1845, 5505, 77, 91, 1130, 528, 28791, 2380, 280, 28791, 2380, 474, 225, 35, 400, 415, 1845, 5505, 77, 91, 997, 20643, 5791, 25245, 657, 461, 313, 3902, 20, 328, 1845, 5505, 77, 91, 2786, 528, 415, 19757, 32, 5670, 610, 313, 40, 38, 563, 715, 630, 32, 33966, 440, 40, 38, 392, 1845, 5505, 77, 91, 1130, 528, 28791, 2380, 280, 28791, 2380, 474, 225, 35, 324, 630, 32, 4983, 26, 25245, 2380, 30, 225, 36, 27, 291, 813, 44, 324, 436, 595, 328, 2155, 26, 1657, 26, 368, 5505, 8531, 400, 415, 1845, 5505, 77, 91, 997, 20643, 5791, 25245, 657, 461, 313, 4190, 20, 328, 1845, 5505, 77, 91, 2786, 528, 28791, 2380, 280, 28791, 2380, 474, 225, 35, 528, 1123, 2062, 280, 1845, 5505, 77, 91, 997, 2998, 12605, 11968, 35, 79, 324, 630, 32, 4983, 26, 25245, 2380, 30, 225, 35, 27, 291, 19757, 32, 1945, 26, 784, 27, 291, 19757, 32, 3815, 440, 1088, 32, 106, 11905, 32, 858, 657, 291, 630, 32, 4983, 26, 601, 81, 687, 30, 225, 34, 27, 291, 630, 32, 33966, 440, 7067, 330, 4038, 25, 5624, 9161, 392, 1688, 77, 34, 1130, 291, 630, 32, 31196, 383, 440, 85, 1368, 392, 1688, 77, 34, 1130, 291, 630, 32, 31196, 383, 440, 2429, 392, 1688, 77, 34, 1130, 291, 630, 32, 33966, 26, 1648, 30, 1688, 77, 34, 1130 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 15, 16, 16, 16, 14, 14, 15, 16, 16, 13, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 13, 14, 14, 14, 11, 11, 13, 13, 13, 10, 10, 11, 12, 9, 9, 11, 8, 8, 9, 10, 10, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 8, 8, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 10, 10, 4, 4, 7, 6, 6, 8, 9, 8, 11, 10, 11, 10, 4, 4, 7, 6, 6, 7, 4, 4, 5, 7, 8, 6, 6, 8, 8, 8, 8, 8, 5, 5, 7, 7, 7, 9, 11, 11, 12, 12, 11, 7, 7, 9, 14, 13, 14, 13, 13, 12, 14, 14, 10, 10, 13, 13, 13, 13, 11, 11, 13, 12, 13, 12, 9, 9, 11, 13, 14, 12, 12, 14, 14, 14, 11, 11, 15, 16, 15, 17, 17, 17, 15, 17, 16, 17, 16, 10, 10, 13, 12, 12, 14, 13, 13, 14, 8, 8, 9, 14, 13, 14, 13, 13, 12, 14, 14, 10, 10, 13, 13, 11, 11, 13, 12, 13, 12, 9, 9, 11, 13, 14, 12, 12, 14, 14, 14, 11, 11, 15, 16, 15, 17, 17, 17, 15, 17, 16, 17, 16, 10, 10, 13, 12, 12, 14, 13, 13, 14, 6, 6, 9, 10, 9, 10, 10, 9, 9, 10, 9, 5, 5, 6, 6, 6, 8, 8, 8, 10, 12, 12, 13, 13, 12, 8, 8, 10, 15, 14, 15, 14, 14, 13, 15, 15, 11, 11, 14, 14, 12, 12, 14, 13, 14, 13, 10, 10, 14, 13, 13, 15, 14, 14, 15, 11, 11, 14, 13, 13, 18, 17, 18, 17, 17, 16, 18, 15, 14, 7, 7, 10, 11, 10, 11, 11, 10, 10, 11, 10, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 8, 4, 4, 7, 8, 8, 7, 9, 9, 9, 7, 8, 9, 8, 4, 4, 7, 8, 8, 7, 9, 9, 7, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 4, 4, 10, 0, 2, 1, 1, 1, 1, 1, 1, 2, 10, 10, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 3, 2, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 5, 5, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 3, 2, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 1, 10, 10, 4, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 3, 4, 4, 0, 2, 2, 1, 1, 1, 2, 1, 3, 2, 3, 4, 4, 0, 2, 2, 1, 1, 2, 1, 3, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 3 ]
[ 1070, 2322, 315, 32, 1163, 1188, 8444, 203, 1070, 34856, 32, 1237, 32, 26878, 1188, 4942, 203, 1070, 34856, 32, 1237, 32, 26878, 1188, 11581, 203, 1070, 34856, 32, 1237, 32, 26878, 1188, 341, 25673, 203, 1070, 34856, 32, 1237, 32, 26878, 1188, 5592, 1040, 203, 1070, 34856, 1188, 24144, 81, 20840, 203, 1070, 34856, 1188, 3082, 203, 1070, 34856, 1188, 2719, 1363, 203, 14594, 280, 8444, 32, 14594, 203, 22582, 81, 668, 280, 11581, 32, 6728, 81, 2116, 2265, 463, 7924, 370, 2270, 330, 23724, 81, 5634, 44, 668, 683, 203, 22582, 81, 5110, 280, 11581, 32, 6728, 81, 2116, 2265, 463, 7924, 370, 17739, 330, 23724, 81, 5634, 44, 5110, 683, 203, 589, 1930, 81, 23724, 81, 5634, 26, 7613, 711, 284, 10313, 32, 470, 463, 426, 370, 330, 5634, 558, 683, 284, 10790, 1078, 10797, 280, 5592, 1040, 32, 1721, 3442, 1308, 26, 7613, 30, 330, 5634, 1078, 370, 16329, 9182, 1057, 5634, 1078, 683, 284, 10790, 1078, 10797, 32, 470, 463, 7230, 683, 284, 17758, 10797, 280, 5592, 1040, 32, 1721, 3442, 1308, 26, 7613, 30, 330, 15934, 370, 9182, 1057, 15934, 683, 284, 3408, 10797, 280, 5592, 1040, 32, 1721, 3442, 1308, 26, 15934, 10797, 30, 330, 2035, 370, 10631, 9182, 47, 2593, 1040, 32, 371, 81, 3028, 27, 284, 3408, 10797, 32, 470, 463, 426, 370, 225, 34, 27, 284, 5859, 1729, 10797, 280, 5592, 1040, 32, 1721, 3442, 1308, 26, 2035, 10797, 30, 330, 4255, 370, 9182, 47, 35, 27, 284, 26393, 10797, 280, 5592, 1040, 32, 1721, 3442, 1308, 26, 2269, 1729, 10797, 30, 330, 2122, 370, 11244, 9182, 47, 2593, 1040, 32, 371, 81, 3028, 27, 284, 26393, 10797, 32, 470, 463, 426, 370, 225, 34, 27, 284, 26393, 1078, 10797, 280, 5592, 1040, 32, 1721, 3442, 1308, 26, 15762, 10797, 30, 330, 2122, 1078, 370, 13588, 9182, 47, 35, 27, 284, 26393, 1078, 10797, 32, 470, 463, 7230, 683, 284, 26393, 1078, 10797, 32, 470, 463, 2480, 683, 284, 26393, 1078, 10797, 32, 470, 463, 6368, 81, 269, 683, 284, 10313, 32, 1689, 26, 2282, 32, 4097, 3442, 1157, 203, 823, 43837, 31391, 3442, 26, 2593, 1040, 32, 3442, 1796, 711, 284, 665, 8520, 26, 784, 711, 291, 3051, 280, 5592, 1040, 32, 3442, 1308, 463, 23724, 31391, 683, 291, 10790, 10797, 280, 5592, 1040, 32, 1721, 3442, 1308, 26, 2388, 30, 330, 23724, 6767, 370, 13588, 9182, 1057, 23724, 6767, 1120, 683, 291, 1930, 81, 23724, 81, 5634, 26, 5634, 10797, 27, 291, 442, 5592, 1040, 32, 8798, 3442, 26, 2388, 30, 225, 35, 30, 8752, 1110, 1279, 324, 43837, 81, 5634, 32, 7909, 44, 43837, 81, 5634, 32, 2011, 1748, 203, 823, 43837, 6767, 1917, 26, 46674, 32, 1917, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 21604, 6767, 1917, 30, 630, 14585, 1664, 16369, 291, 630, 32, 2122, 1363, 81, 1237, 280, 2719, 1363, 32, 2554, 346, 284, 665, 617, 371, 81, 15688, 81, 23724, 81, 20840, 26, 784, 30, 32019, 30, 438, 81, 7230, 711, 291, 1056, 280, 1605, 291, 436, 10790, 328, 32019, 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 ]
[ 1, 1, 3, 2, 3, 1, 1, 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, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 3, 2, 2, 3, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 4, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 4, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 7, 7, 5, 7, 7, 7, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 6, 6, 8, 8, 8, 6, 6, 7, 9, 9, 9, 2, 2, 6, 6, 5, 6, 5, 7, 7, 2, 2, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 6, 6, 8, 8, 6, 7, 9, 9, 2, 2, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 8, 8, 6, 6, 7, 9, 9, 8, 9, 9, 9, 6, 2, 2, 6, 5, 6, 5, 7, 7, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 8, 8, 6, 7, 8, 6, 2, 2, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 6, 8, 8, 6, 6, 7, 9, 9, 8, 9, 9, 9, 6, 2, 2, 6, 5, 6, 5, 7, 7, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 6, 6, 5, 6, 5, 7, 7, 2, 2, 6, 6, 5, 6, 5, 7, 7, 2, 2, 6, 6, 5, 6, 5, 7, 7, 7, 7, 2, 2, 5, 6, 5, 8, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 9, 8, 10, 10, 10, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 4, 4, 7, 7, 7, 7, 7, 8, 8, 7, 4, 4, 5, 8, 7, 8, 8, 7, 8, 7, 7, 8, 7, 7, 9, 8, 9, 9, 12, 12, 11, 12, 10, 10, 12, 12, 11, 12, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 5, 5, 0, 0, 0, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 2, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 0, 12, 12, 1, 1, 2, 0, 0, 1, 2, 2, 2, 12, 12, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 3, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 0, 5, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 13, 13, 1, 1, 2, 0, 1, 2, 2, 13, 13, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1 ]
[ 1270, 44, 284, 1188, 29947, 203, 7343, 29986, 44, 284, 1188, 33087, 81, 5522, 284, 33087, 81, 5522, 32, 539, 81, 43764, 346, 203, 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 465, 5237, 30, 2322, 203, 1070, 281, 16498, 1188, 1156, 1648, 505, 619, 1503, 203, 5522, 26, 284, 636, 1057, 331, 2518, 370, 284, 1503, 47, 1648, 30, 284, 3048, 1057, 2699, 291, 8862, 23393, 461, 15317, 439, 33, 65, 1471, 41119, 34380, 291, 645, 4262, 225, 36, 32, 39, 30, 6237, 312, 41119, 624, 9763, 59, 2145, 32, 284, 4247, 370, 284, 1946, 81, 2310, 47, 761, 463, 10229, 32, 2760, 1814, 850, 1026, 284, 4081, 1057, 63, 5270, 41432, 342, 390, 11574, 2531, 370, 284, 4081, 81, 1935, 1057, 285, 342, 32, 6053, 50, 7253, 32, 508, 370, 284, 1984, 1057, 525, 555, 687, 32, 2175, 32, 508, 33, 98, 33, 331, 2518, 13093, 284, 7599, 11414, 331, 2518, 370, 330, 331, 2518, 32, 1262, 370, 330, 331, 2518, 32, 1840, 370, 330, 331, 2518, 32, 1262, 32, 510, 31885, 370, 330, 331, 2518, 32, 1262, 32, 510, 31885, 32, 32271, 81, 37955, 98, 81, 3106, 2188, 284, 8529, 81, 4770, 47, 1815, 30, 284, 43397, 6020, 291, 330, 20235, 5400, 2037, 225, 38, 429, 31511, 370, 291, 330, 6330, 2037, 3704, 10572, 370, 291, 330, 1428, 4611, 37393, 5467, 2037, 36646, 370, 291, 330, 1428, 4611, 37393, 5467, 2037, 1171, 9128, 8070, 4044, 370, 291, 330, 3786, 2037, 546, 2123, 46573, 2037, 7131, 1177, 370, 291, 330, 25900, 1171, 2037, 3787, 2037, 4017, 370, 291, 330, 25900, 1171, 2037, 40669, 2037, 7946, 370, 291, 330, 25900, 1171, 2037, 40669, 2037, 11895, 370, 291, 330, 23560, 6633, 2037, 4865, 370, 291, 330, 8294, 2037, 13939, 2037, 624, 18906, 33, 5068, 2037, 4808, 4226, 101, 370, 291, 330, 8294, 2037, 13939, 2037, 624, 18906, 33, 5068, 2037, 624, 9763, 59, 2037, 4226, 370, 291, 330, 8294, 2037, 1171, 2037, 8159, 299, 370, 284, 2505, 284, 3414, 81, 3953, 1279, 291, 330, 20437, 32, 1786, 81, 5792, 950, 428, 324, 330, 46674, 47, 331, 2518, 32, 1840, 32, 46674, 44, 1786, 81, 5792, 370, 324, 330, 525, 47, 331, 2518, 32, 1840, 32, 46674, 44, 1786, 81, 5792, 370, 291, 2505, 291, 330, 20437, 32, 2029, 81, 725, 81, 5792, 950, 428, 324, 330, 5207, 1131, 47, 331, 2518, 32, 1840, 32, 4396, 44, 69, 10567, 1612, 11063, 370, 324, 330, 94, 1373, 1269, 100, 47, 331, 2518, 32, 1840, 32, 4396, 44, 18843, 2130, 1397, 11063, 25, 291, 2505, 291, 330, 30842, 5583, 32, 16479, 950, 428, 324, 330, 331, 2518, 47, 1427, 2518, 32, 4661, 370, 324, 330, 331, 2518, 6419, 47, 1427, 2518, 32, 4746, 283, 38098, 370, 291, 2505, 291, 330, 30842, 5583, 32, 1427, 3169, 483, 950, 428, 324, 330, 6419, 47, 1427, 2518, 32, 4746, 548, 2777, 44, 24610, 1031, 6462, 25, 291, 1481, 284, 801, 284, 2443, 81, 13966, 280, 766, 291, 8580, 1365, 978, 31, 93, 3926, 7148, 36, 32, 34, 1446, 415, 2726, 32781, 25, 328, 5237, 32, 5134, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 4, 6, 6, 3, 3, 7, 7, 6, 7, 7, 7, 6, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 4, 4, 2, 2, 0, 3, 3, 3, 3, 4, 6, 6, 6, 3, 3, 4, 5, 3, 3, 3, 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, 3, 3, 5, 5, 4, 8, 8, 10, 10, 10, 10, 7, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 4, 5, 3, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 5, 5, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 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, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 3, 3, 5, 5, 4, 4, 5, 4, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 16, 16, 14, 14, 15, 16, 13 ]
[ 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 15, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 17, 2, 1, 1, 1, 19, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 1, 1, 0, 0, 21, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 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, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 23, 23, 2, 23, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0 ]
[ 465, 3383, 2825, 203, 465, 5592, 8358, 1356, 203, 465, 7138, 203, 465, 42406, 203, 465, 622, 2215, 203, 465, 4791, 11642, 203, 465, 310, 491, 550, 203, 465, 2361, 203, 465, 1133, 203, 465, 5237, 203, 465, 2322, 203, 1237, 280, 4247, 203, 3494, 558, 280, 330, 3494, 32, 2901, 25, 203, 3494, 1215, 280, 330, 3494, 32, 2901, 25, 203, 3381, 18249, 280, 225, 34, 225, 203, 3737, 16817, 280, 5436, 346, 203, 589, 1256, 1612, 26, 1436, 711, 3701, 3649, 33946, 18249, 284, 1459, 3228, 96, 25, 474, 1474, 284, 1044, 1612, 280, 5081, 81, 1131, 463, 48, 11134, 284, 415, 308, 103, 1612, 32, 5729, 346, 610, 330, 4775, 7831, 4456, 33946, 18249, 280, 225, 35, 291, 2575, 346, 284, 4348, 308, 103, 1612, 32, 5729, 346, 610, 330, 16997, 7831, 4456, 1459, 3228, 96, 262, 4517, 87, 78, 96, 25, 291, 5237, 32, 4775, 346, 291, 2322, 32, 4775, 346, 284, 813, 44, 291, 442, 1044, 1612, 203, 589, 11686, 40395, 11606, 2262, 3701, 1459, 3228, 96, 262, 17871, 326, 25, 284, 1459, 330, 262, 18236, 44, 1670, 7588, 1436, 438, 3974, 12568, 30, 844, 2298, 11686, 561, 2464, 4564, 284, 1459, 330, 262, 17871, 326, 78, 96, 25, 203, 589, 10061, 1063, 936, 4709, 26, 1906, 30, 1495, 711, 284, 3649, 5036, 1215, 284, 1359, 280, 3383, 2825, 32, 11691, 46487, 346, 284, 1359, 32, 850, 26, 3494, 1215, 27, 284, 1596, 44, 291, 442, 1359, 32, 371, 4398, 26, 1906, 30, 1495, 27, 284, 2940, 44, 291, 442, 3177, 203, 589, 11470, 1290, 605, 5637, 2262, 3701, 16597, 2474, 280, 313, 4997, 4587, 1436, 20, 284, 645, 2322, 1188, 1519, 30, 16277, 284, 415, 5237, 32, 5134, 610, 330, 24917, 950, 291, 415, 313, 8439, 20, 328, 16277, 44, 324, 706, 5637, 280, 1519, 32, 2524, 26, 500, 32, 12757, 1365, 8439, 3439, 313, 5876, 33, 2727, 2193, 10590, 16597, 2474, 27, 474, 13637, 291, 813, 44, 324, 1459, 330, 262, 12619, 646, 2290, 6765, 4844, 30, 4322, 3639, 458, 1474, 461, 1370, 6642, 1593, 1503, 372, 322, 24267, 5998, 16098, 4564, 324, 2322, 32, 4775, 346, 284, 4348, 330, 4463, 37, 36, 25, 328, 5237, 32, 5134, 556, 330, 4463, 40, 38, 25, 328, 5237, 32, 5134, 44, 291, 706, 5637, 280, 1519, 32, 2524, 26, 12757, 710, 6870, 4601, 2188, 16597, 2474, 27, 474, 17276, 25, 284, 813, 44, 291, 706, 5637, 280, 1519, 32, 8931, 496, 26, 983, 32, 2524, 440, 112, 392, 4939, 1163, 5681, 474, 16597, 2474, 474, 2430, 2131, 284, 442, 706, 5637, 203, 589, 1359, 3573, 2262, 284, 3649, 5036, 558, 284, 1359, 280, 3383, 2825, 32, 11691, 46487, 346, 284, 1359, 32, 669, 81, 1906, 463, 2400, 1436, 3550, 683, 284, 1359, 32, 470, 463, 2400, 1436, 3550, 370, 330, 625, 370, 330, 42, 38, 38, 38, 683, 10065, 1359, 32, 470, 463, 2400, 1436, 3550, 1195, 1237, 6565, 1195, 1508, 683, 3701, 623, 2156, 26, 3494, 558, 30, 330, 12108, 683, 619, 1359, 761, 44, 291, 1359, 32, 1821, 26, 1163, 761, 27, 284, 1459, 3228 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 0, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 3, 0, 0, 3, 3, 2, 2, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 2, 2, 3, 7, 6, 4, 4, 2, 2, 5, 4, 4, 6, 6, 6, 8, 8, 2, 2, 3, 8, 8, 7, 8, 7, 5, 5, 7, 7, 3, 3, 7, 6, 6, 7, 4, 4, 7, 3, 3, 4, 9, 9, 8, 9, 8, 6, 6, 8, 8, 4, 4, 6, 9, 8, 8, 8, 9, 9, 8, 5, 5, 8, 9, 8, 5, 5, 8, 9, 8, 3, 3, 4, 4, 4, 6, 7, 0, 1, 1, 2, 2, 2, 1, 1, 3, 6, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 3, 4, 2, 2, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 6, 5, 6, 6, 5, 2, 2, 3, 3, 3, 5, 7, 8, 8, 7, 8, 7, 8, 7, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 5, 6, 4, 4, 6, 6, 3, 3, 5, 8, 8, 6, 6, 5, 5, 5, 9, 8, 8, 11, 12, 11, 14, 13, 14, 12, 14, 14, 11, 13, 13, 13, 13, 13, 11, 12, 11, 9, 9, 5, 5, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 11, 10, 3, 3, 4, 8, 8, 8, 8, 6, 6, 7, 8, 5, 5, 8, 8, 8, 8, 6, 6, 7, 8, 4, 4, 4, 8, 7, 7, 10, 11, 10, 12, 11, 13, 13, 13, 10, 11, 10, 8, 8, 10, 3, 3, 4, 4, 4, 8, 7, 7, 9, 10, 10, 9, 12, 11, 12, 11, 13, 13, 11, 15, 15, 13, 13, 14, 12, 12, 14, 2, 2, 3, 4, 0, 1, 1, 2, 2, 1, 1, 3, 4, 2, 2, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 8, 9, 9, 8, 8, 10, 10, 6, 6, 8, 3, 3, 3, 7, 8, 7, 8, 8, 7, 2, 2, 3 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 1, 4, 4, 1, 0, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 3, 3, 1, 3, 3, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 3, 3, 5, 5, 5, 0, 1, 0, 17, 17, 1, 1, 2, 17, 17, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 0, 0, 2, 0, 18, 18, 1, 1, 1, 2, 1, 2, 3, 2, 18, 18, 0, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 3, 3, 3, 0, 0, 2, 2, 1, 1, 1, 3, 1, 3, 3, 3, 3, 3, 0, 0, 19, 19, 1, 1, 1, 2, 19, 19, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 5, 1, 2, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 4, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 3, 1, 2, 2, 2, 2, 2, 5, 5, 5, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 3, 3, 2, 4, 4, 3, 1, 0, 20, 20, 1, 2, 20, 20, 0, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 5, 5, 5, 0, 2, 1, 1, 1, 1, 4, 4, 6 ]
[ 465, 3706, 3225, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 2322, 315, 81, 2304, 1188, 11171, 2304, 203, 465, 30902, 619, 4257, 203, 1070, 30902, 1188, 46474, 203, 1070, 30902, 32, 494, 1188, 13489, 203, 1070, 2322, 315, 81, 2304, 1188, 13489, 2304, 203, 465, 18792, 203, 1070, 1168, 33367, 32, 1237, 32, 8358, 32, 4867, 1206, 6667, 1188, 456, 37, 81, 8358, 81, 4867, 81, 1237, 203, 1070, 1168, 33367, 32, 1237, 32, 104, 36, 1188, 5414, 203, 1070, 1168, 33367, 32, 18931, 1188, 5216, 203, 1070, 1168, 33367, 32, 18931, 1188, 14735, 203, 1070, 1168, 33367, 32, 18931, 1188, 10880, 203, 1070, 1168, 33367, 32, 18931, 1188, 6086, 203, 1070, 1168, 33367, 32, 2282, 1188, 12388, 619, 456, 37, 81, 9777, 203, 1070, 1168, 33367, 32, 2282, 1188, 14735, 619, 310, 81, 14806, 203, 1070, 1168, 33367, 32, 2282, 1188, 16215, 619, 310, 81, 8358, 203, 1070, 1168, 33367, 32, 2282, 1188, 8745, 203, 1070, 1168, 33367, 32, 1199, 1188, 1542, 81, 1439, 203, 1070, 1168, 33367, 32, 1199, 1188, 4549, 81, 104, 36, 203, 1070, 1168, 33367, 32, 9081, 1188, 6594, 81, 1299, 203, 1070, 1168, 33367, 32, 9081, 1188, 456, 37, 203, 1070, 1168, 33367, 32, 91, 35, 42, 96, 1188, 617, 1798, 30, 617, 815, 203, 1070, 1168, 33367, 1188, 7884, 203, 1070, 1168, 33367, 32, 5558, 32, 2282, 1188, 12388, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 10539, 81, 32026, 81, 20483, 527, 81, 1844, 56, 280, 456, 37, 81, 9777, 32, 10539, 81, 32026, 81, 20483, 527, 81, 1844, 56, 203, 10539, 81, 32026, 81, 20483, 527, 81, 21947, 280, 456, 37, 81, 9777, 32, 10539, 81, 32026, 81, 20483, 527, 81, 21947, 203, 10539, 81, 32026, 81, 10301, 1392, 2027, 280, 456, 37, 81, 9777, 32, 10539, 81, 32026, 81, 10301, 1392, 2027, 203, 14417, 81, 21947, 81, 1589, 280, 456, 37, 32, 14417, 81, 21947, 81, 1589, 203, 2554, 81, 1407, 81, 1996, 81, 16188, 81, 5834, 280, 5053, 625, 81, 314, 950, 330, 8638, 81, 625, 81, 314, 6040, 203, 11835, 81, 20483, 527, 81, 11486, 69, 280, 2726, 314, 370, 330, 426, 370, 330, 15213, 81, 314, 370, 330, 2300, 81, 1293, 81, 417, 370, 330, 1517, 683, 203, 823, 8909, 3437, 26, 1160, 81, 1439, 32, 6177, 72, 36, 711, 284, 9218, 81, 314, 280, 4257, 32, 2137, 26, 291, 4257, 32, 652, 26, 37, 40, 471, 291, 4257, 32, 13343, 463, 24235, 483, 32, 314, 370, 544, 2560, 347, 28781, 2113, 291, 7458, 81, 678, 47, 1815, 27, 284, 2601, 81, 314, 280, 4257, 32, 2137, 26, 291, 4257, 32, 652, 26, 37, 40, 471, 291, 4257, 32, 13343, 463, 11170, 32, 314, 370, 544, 2560, 347, 28781, 2113, 291, 7458, 81, 678, 47, 1815, 27, 284, 2601, 81, 681, 280, 4257, 32, 2137, 26, 2496, 32, 652, 26, 36, 39, 39, 490, 284, 2601, 280, 46474, 32, 19115, 26, 291, 4549, 81, 104, 36, 32, 3437, 30, 291, 1751, 612, 47, 494, 32, 975, 612, 463, 5785, 625, 370, 793 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 0, 1, 1, 2, 2, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 9, 8, 9, 9, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 8, 10, 9, 11, 11, 6, 6, 8, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 9, 8, 9, 9, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 10, 9, 11, 11, 6, 6, 8, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 9, 8, 9, 8, 9, 9, 9, 8, 2, 2, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 7, 8, 6, 6, 6, 8, 7, 10, 9, 10, 10, 9, 11, 11, 11, 9 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 3, 3, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 3, 3, 1, 1, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 6, 6, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 1, 4, 4, 9, 9, 0, 10, 10, 0, 1, 2, 10, 10, 0, 11, 11, 0, 1, 2, 11, 11, 0, 12, 12, 0, 1, 2, 12, 12, 0, 13, 13, 0, 1, 2, 13, 13, 0, 14, 14, 0, 1, 2, 14, 14, 3, 3, 2, 2, 2, 0, 15, 15, 0, 1, 2, 15, 15, 3, 3, 2, 2, 0, 16, 16, 0, 1, 2, 16, 16, 3, 3, 2, 2, 0, 17, 17, 0, 1, 2, 17, 17, 0, 18, 18, 0, 1, 2, 18, 18, 0, 0, 0, 19, 19, 0, 1, 2, 19, 19, 0, 0, 0, 0, 20, 20, 0, 1, 2, 20, 20, 0, 0, 0, 21, 21, 0, 1, 2, 21, 21, 0, 0, 22, 22, 0, 1, 2, 2, 2, 2, 22, 22, 0, 22, 22, 0, 0, 23, 23, 0, 23, 23, 0, 24, 24, 0, 1, 2, 1, 4, 24, 24, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 32, 32, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 32, 32, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 3, 1, 2, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 3, 1, 2, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 3, 0, 0, 2, 2, 1, 1, 1, 2, 1 ]
[ 505, 2116, 505, 280, 313, 16716, 84, 1575, 1258, 103, 1203, 30, 8359, 315, 307, 409, 11537, 265, 30, 439, 2086, 394, 404, 713, 265, 30, 461, 551, 11051, 3110, 339, 20, 203, 505, 770, 505, 280, 313, 36, 34, 35, 34, 31, 34, 36, 31, 34, 42, 20, 203, 505, 1648, 505, 280, 330, 36, 32, 34, 25, 203, 465, 7744, 203, 465, 2322, 203, 465, 3995, 203, 465, 5237, 203, 465, 3738, 203, 1070, 40239, 1114, 8524, 1188, 3432, 203, 465, 11685, 203, 19991, 32, 8447, 463, 383, 11850, 1503, 432, 322, 29991, 2297, 438, 18253, 619, 904, 101, 25, 904, 1156, 426, 8223, 203, 589, 3493, 81, 891, 26, 2171, 711, 284, 442, 629, 26, 3812, 32, 17682, 26, 3812, 32, 751, 26, 2171, 30, 36, 2610, 203, 589, 43422, 26, 98, 30, 2678, 711, 284, 2218, 2678, 863, 225, 34, 44, 291, 415, 298, 333, 2678, 44, 308, 98, 30, 99, 27, 280, 308, 99, 30, 98, 27, 291, 308, 98, 30, 99, 27, 280, 308, 99, 30, 298, 904, 2678, 27, 284, 442, 298, 203, 589, 3519, 36, 410, 26, 3651, 711, 284, 415, 646, 308, 681, 26, 3651, 27, 438, 3738, 32, 39309, 556, 827, 26, 3651, 27, 438, 3738, 32, 47639, 711, 291, 3636, 12678, 440, 4282, 2298, 3097, 312, 802, 556, 312, 1149, 657, 284, 4991, 280, 225, 34, 284, 436, 3432, 328, 3519, 44, 291, 4991, 10439, 225, 36, 39, 40, 291, 415, 827, 26, 2263, 27, 438, 3738, 32, 47639, 44, 3432, 280, 16167, 26, 2263, 27, 291, 4991, 1454, 3432, 284, 442, 4991, 203, 589, 629, 36, 3651, 26, 2171, 711, 284, 415, 646, 308, 681, 26, 2171, 27, 438, 3738, 32, 3952, 620, 556, 827, 26, 2171, 27, 438, 3738, 32, 1428, 620, 711, 291, 3636, 12678, 440, 4282, 2298, 3097, 312, 1946, 556, 600, 629, 657, 284, 802, 280, 3330, 284, 2218, 1451, 848, 225, 34, 44, 291, 802, 280, 5461, 101, 23, 101, 20, 904, 308, 2263, 26, 2171, 549, 225, 34, 4769, 471, 802, 27, 291, 1451, 14374, 225, 36, 39, 40, 284, 442, 802, 203, 589, 372, 40, 38, 26, 2171, 711, 284, 415, 646, 308, 681, 26, 2171, 27, 438, 3738, 32, 3952, 620, 556, 827, 26, 2171, 27, 438, 3738, 32, 1428, 620, 711, 291, 3636, 12678, 440, 4282, 2298, 3097, 312, 1946, 556, 600, 629, 657, 284, 415, 225, 34, 2511, 1451, 2511, 225, 43, 44, 2407, 291, 442, 3432, 26, 2171, 474, 225, 38, 42, 27, 284, 415, 225, 35, 34, 2511, 1451, 2511, 225, 37, 39, 44, 291, 442, 3432, 26, 2171, 474, 225, 39, 39, 27, 647, 284, 415, 225, 37, 40, 2511, 1451, 2511, 225, 40, 35, 44, 291, 442, 3432, 26, 2171, 474, 225, 40, 35, 27, 647, 284, 415, 1451, 610, 225, 40, 36, 44, 423, 291, 442, 3432, 26, 38, 39, 27, 284, 415, 1451, 610, 225, 40, 37, 44, 423, 291, 442, 3432, 26, 43, 39, 27, 284, 3636, 10091, 463, 3817, 3772, 40, 38, 786, 44, 904, 91, 25, 904, 1451, 27, 203, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 4, 3, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 8, 7, 8, 7, 10, 9, 10, 9, 10, 9, 10, 9, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 3, 3, 3, 5, 6, 6, 5, 5, 10, 9, 10, 9, 8, 8, 10, 9, 10, 9, 4, 4, 8, 7, 8, 7, 6, 6, 8, 7, 7, 8, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 9, 9, 10, 9, 7, 7, 8, 9, 6, 6, 9, 10, 9, 7, 7, 8, 9, 5, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 5, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 7, 7, 7, 4, 4, 5, 8, 9, 8, 6, 6, 7, 8, 5, 5, 8, 8, 10, 11, 10, 4, 4, 6, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 9, 9, 10, 9, 7, 7, 8, 9, 9, 6, 6, 9, 10, 9, 7, 7, 8, 9, 9, 5, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 9, 9, 9, 9, 7, 7, 10, 10, 12, 11, 11, 12, 12, 10, 8, 8, 4, 4, 6, 6, 7, 7, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 9, 9, 10, 9, 7, 7, 8, 9, 9, 6, 6, 9, 10, 9, 7, 7, 8, 9, 9, 5, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 4, 4, 4, 4, 5, 3, 3, 3, 3, 5, 7, 9, 8, 8, 9, 9, 7, 2, 2, 3, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 5, 7, 9, 8, 8, 9, 9, 7, 2, 2, 2, 3, 5, 5, 4, 4, 4, 4, 5, 5, 3, 3, 3, 5, 7, 9, 8, 8, 9, 9, 7, 2, 2, 2, 3, 4, 4, 5, 5, 3, 3, 3, 3, 5, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 5, 3, 3, 3, 3, 5, 7, 8, 8, 7, 2, 2, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 0, 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, 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, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 3, 1, 0, 12, 12, 2, 1, 2, 2, 2, 12, 12, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 3, 0, 0, 0, 1, 2, 3, 2, 3, 3, 1, 0, 3, 0, 0, 0, 1, 2, 2, 3, 3, 2, 4, 4, 1, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 5, 5, 0, 0, 4, 4, 3, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 3, 3, 0, 0, 2, 2, 2, 4, 4, 3, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 1, 1, 1, 4, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 4, 4, 2, 0, 0, 1, 1, 1, 1, 4, 4, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 4, 4, 4, 3, 0, 0, 1, 1, 1, 1, 4, 4, 3, 3, 3, 0, 1, 0, 1, 1, 2, 2, 1, 4, 4, 4, 4, 1, 1, 2, 2, 4, 4, 4, 4, 0, 1, 1, 1, 1, 4, 4, 5, 1, 1, 2, 2, 5, 5, 5, 5, 0, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 16 ]
[ 465, 7744, 203, 465, 6234, 203, 465, 26313, 203, 465, 1133, 203, 1070, 42191, 1188, 5543, 30, 1420, 203, 12256, 280, 6234, 32, 44239, 649, 426, 346, 203, 2035, 625, 280, 225, 43, 34, 34, 34, 203, 10504, 13578, 280, 3177, 261, 203, 589, 10366, 3426, 2262, 284, 2218, 308, 1815, 711, 291, 2218, 308, 10504, 13578, 610, 2933, 711, 324, 436, 816, 328, 2155, 26, 35, 30, 225, 40, 43, 711, 400, 533, 280, 7744, 32, 9410, 564, 26, 106, 27, 291, 1133, 32, 7840, 26, 37, 27, 203, 9889, 81, 3426, 280, 26313, 32, 3021, 26, 1977, 47, 9889, 3426, 30, 2181, 47, 1157, 203, 9889, 81, 3426, 32, 1366, 346, 203, 589, 2866, 1548, 2262, 284, 3361, 280, 4145, 916, 772, 1816, 772, 1311, 48, 2986, 2568, 429, 1968, 377, 1311, 855, 1816, 6457, 284, 3361, 1454, 4145, 1548, 772, 90, 36, 48, 8068, 2568, 544, 330, 474, 15871, 474, 9398, 90, 36, 772, 338, 772, 90, 37, 6457, 284, 415, 4986, 13578, 610, 3177, 44, 291, 3361, 1454, 4145, 839, 2039, 8068, 3664, 438, 646, 3974, 32, 333, 83, 976, 12541, 1409, 81, 1007, 413, 2130, 1389, 377, 83, 772, 839, 2039, 25, 284, 813, 44, 291, 3361, 1454, 4145, 839, 2039, 8068, 3664, 438, 3974, 32, 333, 83, 976, 12541, 4048, 81, 1007, 413, 6495, 1389, 377, 83, 772, 839, 2039, 25, 284, 3361, 1454, 4145, 839, 2039, 6772, 14006, 839, 14872, 839, 2039, 33, 1409, 81, 1007, 280, 1477, 10366, 3664, 46, 839, 2039, 33, 4048, 81, 1007, 280, 4719, 10366, 3664, 46, 839, 2039, 25, 284, 3361, 1454, 9398, 90, 37, 855, 338, 855, 1548, 855, 916, 6457, 284, 442, 3361, 203, 50, 4351, 24667, 203, 589, 3051, 2262, 284, 442, 2866, 1548, 346, 203, 50, 4351, 3247, 1409, 81, 1007, 683, 203, 589, 745, 81, 1007, 2262, 284, 3649, 4986, 13578, 284, 4986, 13578, 280, 2933, 284, 442, 2866, 1548, 346, 203, 50, 4351, 3247, 4048, 81, 1007, 683, 203, 589, 4719, 81, 1007, 2262, 284, 3649, 4986, 13578, 284, 4986, 13578, 280, 3177, 284, 442, 2866, 1548, 346, 203, 1945, 26, 2035, 47, 12256, 30, 2601, 47, 2035, 625, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 3, 5, 4, 3, 3, 5, 8, 8, 7, 7, 6, 5, 5, 7, 7, 7, 9, 10, 9, 9, 10, 10, 9, 7, 7, 10, 10, 12, 13, 13, 12, 13, 12, 4, 4, 7, 8, 7, 8, 7, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 5, 6, 6, 4, 4, 5, 6, 0, 4, 4, 4, 3, 4, 3, 0, 1, 1, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 5, 4, 4, 3, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 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, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 0, 2, 4, 4, 1, 2, 2, 3, 2, 2, 4, 6, 6, 0, 2, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 2, 2, 4, 5, 3, 3, 6, 5, 5, 3, 3, 4, 6, 6, 0, 2, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 2, 2, 4, 5, 3, 3, 6, 5, 5, 3, 3, 4, 6, 6, 0, 3, 3, 5, 4, 5, 3, 3, 4, 5, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 0, 0, 0, 0, 0, 2, 1, 0, 11, 11, 1, 2, 11, 11, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 0, 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, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 0, 0, 0, 1, 12, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 2, 1, 1, 0, 1, 4, 4, 0, 0, 0, 4, 4, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 14, 1, 1, 1, 1, 2, 1, 1, 0, 1, 4, 4, 0, 0, 0, 4, 4, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 3, 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 ]
[ 505, 464, 505, 280, 428, 284, 330, 59, 776, 42382, 370, 330, 59, 3157, 370, 284, 330, 51, 370, 330, 51, 40, 370, 330, 5869, 370, 330, 5995, 69, 1996, 370, 330, 53, 2474, 370, 330, 54, 2474, 370, 330, 58, 1589, 370, 284, 330, 12159, 51, 370, 330, 12159, 52, 370, 330, 3347, 370, 330, 5108, 370, 330, 13171, 370, 330, 16259, 370, 330, 63, 1589, 370, 330, 9648, 370, 330, 11737, 370, 284, 330, 1827, 12991, 370, 330, 3020, 370, 330, 3293, 370, 330, 12991, 370, 330, 5735, 370, 330, 3629, 51, 370, 330, 2231, 56, 370, 330, 33861, 370, 330, 26755, 370, 330, 73, 10391, 370, 284, 330, 15205, 370, 330, 1405, 370, 330, 3746, 370, 330, 11493, 370, 330, 521, 370, 284, 330, 2320, 81, 23607, 69, 370, 330, 4294, 4002, 370, 330, 6578, 4002, 370, 284, 330, 55, 9302, 370, 330, 14450, 370, 330, 718, 1194, 6898, 370, 330, 527, 11047, 9208, 370, 330, 940, 527, 1971, 370, 284, 330, 3157, 81, 51, 370, 330, 3157, 81, 51, 40, 370, 330, 3157, 81, 5869, 370, 330, 3157, 81, 5995, 69, 1996, 370, 330, 3157, 81, 53, 2474, 370, 284, 330, 3157, 81, 54, 2474, 370, 330, 3157, 81, 58, 1589, 370, 330, 3157, 81, 3347, 370, 330, 3157, 81, 5108, 370, 330, 3157, 81, 13171, 370, 284, 330, 3157, 81, 16259, 370, 330, 3157, 81, 63, 1589, 370, 330, 3157, 81, 9648, 370, 330, 3157, 81, 11737, 370, 330, 3157, 81, 1827, 12991, 370, 284, 330, 3157, 81, 3020, 370, 330, 3157, 81, 3293, 370, 330, 3157, 81, 12991, 370, 330, 3157, 81, 5735, 370, 330, 3157, 81, 3629, 51, 370, 284, 330, 3157, 81, 2231, 56, 370, 330, 3157, 81, 33861, 370, 330, 3157, 81, 26755, 370, 330, 3157, 81, 73, 10391, 370, 284, 330, 15013, 81, 36850, 370, 330, 15013, 81, 15630, 370, 330, 23287, 81, 36850, 370, 330, 23287, 81, 15630, 370, 330, 2399, 81, 5221, 527, 12145, 370, 284, 330, 2659, 466, 370, 330, 1175, 370, 330, 558, 370, 330, 1625, 370, 330, 4252, 2644, 370, 330, 5291, 3157, 370, 284, 330, 17450, 750, 1764, 5506, 370, 330, 17450, 13976, 370, 330, 17450, 5506, 370, 284, 330, 2950, 370, 330, 1952, 81, 521, 33763, 370, 330, 1952, 81, 32234, 370, 330, 1952, 81, 15013, 370, 330, 1952, 81, 5959, 370, 330, 1952, 81, 8758, 370, 284, 330, 3624, 370, 284, 330, 4360, 36128, 5041, 924, 370, 330, 17450, 1625, 4276, 924, 370, 330, 5041, 924, 370, 284, 1481, 203, 465, 11685, 203, 465, 1671, 30, 3995, 30, 3738, 30, 6234, 203, 1270, 44, 284, 1188, 281, 652, 2338, 619, 44524, 203, 7343, 29986, 44, 284, 1188, 44524, 203, 5995, 81, 21399, 40, 280, 6234, 32, 5995, 81, 21399, 40, 203, 1070, 27847, 348, 32, 3337, 1188, 4575, 30, 13199, 30, 9957, 203, 1070, 8206, 13835, 32, 28783, 1188, 7079, 30, 13423, 203, 1070, 8206, 13835, 32, 28783, 32, 731, 1188, 16806, 22621, 924, 203, 1070, 8206, 13835, 32, 2958, 1188, 1245, 30, 7829, 203, 1070, 8206, 13835, 32, 2958, 1188, 4527, 619, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 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, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 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, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 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, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 3, 3, 3, 3, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2 ]
[ 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 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, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 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, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 5, 5, 0, 1, 2, 5, 5, 5, 5, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 3, 3 ]
[ 465, 17735, 37, 203, 1070, 12870, 81, 5379, 1188, 3185, 81, 1648, 203, 505, 1648, 505, 280, 313, 34, 32, 36, 32, 35, 20, 203, 505, 2116, 505, 280, 313, 63, 1226, 15461, 3067, 88, 1575, 307, 20, 203, 505, 1935, 505, 280, 313, 286, 6449, 1575, 307, 50, 7253, 32, 508, 20, 203, 26, 1473, 711, 284, 1524, 284, 701, 20073, 20358, 88, 30, 3082, 81, 983, 347, 44, 5566, 9318, 20073, 47, 1815, 711, 291, 630, 32, 1199, 280, 17735, 37, 32, 3517, 26, 1199, 81, 983, 27, 291, 630, 32, 1199, 32, 297, 11065, 81, 2649, 280, 1665, 291, 630, 32, 1199, 32, 643, 81, 5792, 280, 17735, 37, 32, 2352, 291, 630, 32, 30480, 280, 20073, 291, 630, 32, 7017, 280, 630, 32, 1199, 32, 7017, 346, 291, 630, 32, 7017, 32, 4526, 440, 2978, 1614, 1400, 19367, 81, 3494, 47, 567, 45, 657, 291, 630, 32, 7017, 32, 4526, 463, 2978, 1614, 1400, 7328, 280, 313, 6261, 31, 42, 866, 683, 291, 630, 32, 7017, 32, 4526, 463, 12185, 45, 683, 284, 665, 1156, 4025, 3207, 784, 711, 291, 630, 32, 1199, 32, 2679, 346, 284, 665, 7084, 26, 784, 30, 16013, 711, 291, 5036, 280, 1605, 291, 2078, 280, 1605, 291, 2866, 81, 7428, 280, 313, 3227, 20, 291, 415, 313, 314, 20, 646, 328, 16013, 3667, 2665, 26927, 324, 2866, 81, 7428, 280, 313, 3215, 20, 324, 5036, 32, 1689, 440, 314, 657, 324, 2078, 32, 1689, 26, 2521, 27, 291, 630, 3667, 1297, 81, 1274, 26, 12449, 3667, 823, 29215, 426, 8223, 291, 6090, 280, 630, 3667, 371, 81, 6057, 26, 12449, 3667, 823, 29215, 426, 8223, 291, 436, 1202, 328, 16013, 3667, 2665, 26927, 324, 5036, 32, 1689, 26, 678, 27, 324, 415, 1202, 646, 328, 6090, 44, 400, 630, 3667, 1297, 81, 2592, 26, 12449, 3667, 823, 29215, 426, 7642, 1202, 30, 715, 827, 26, 12449, 3667, 2665, 505, 77, 678, 5259, 324, 2078, 32, 1689, 26, 12449, 3667, 2665, 505, 77, 678, 1130, 291, 5552, 225, 280, 2866, 81, 7428, 474, 313, 1991, 313, 474, 16013, 3667, 823, 29215, 426, 505, 474, 31063, 291, 5552, 1454, 3003, 2296, 2524, 26, 3494, 27, 474, 7788, 2078, 2884, 4456, 5552, 1454, 3003, 2296, 2524, 14141, 12791, 436, 595, 328, 5036, 1130, 225, 474, 225, 35074, 291, 630, 32, 7017, 32, 4526, 26, 2602, 30, 2078, 27, 291, 415, 2866, 81, 7428, 610, 313, 3215, 563, 324, 16013, 32, 314, 280, 630, 32, 7017, 32, 2135, 643, 314, 291, 442, 16013, 32, 314, 284, 665, 1156, 1297, 81, 2592, 26, 784, 30, 1858, 30, 2623, 30, 5552, 681, 711, 291, 415, 630, 32, 30480, 44, 324, 442, 291, 415, 5552, 681, 328, 428, 1808, 30, 629, 30, 1560, 2786, 324, 5552, 681, 280, 313, 41530, 20, 291, 813, 44, 324, 5552, 681, 280, 313, 6016, 20, 291, 5552, 280, 313, 17777, 1858, 313, 474, 1858, 474, 313, 1015, 313, 474, 2623, 474, 313, 313, 474, 5552, 681, 28867, 630, 32, 7017, 32, 4526, 26, 2602, 27, 284, 665, 1156, 371, 81, 6057, 26, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 1, 2, 2, 4, 4, 2, 2, 4, 4, 1, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 1, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 5, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 1, 1, 0, 0, 1, 1, 0, 0, 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, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 40946, 203, 465, 1913, 1356, 203, 465, 5741, 203, 465, 6234, 203, 1070, 488, 36, 14078, 32, 10079, 1188, 18323, 43189, 203, 465, 35949, 1745, 32, 1163, 203, 1070, 10776, 81, 4018, 1188, 24555, 619, 36757, 203, 1070, 10776, 81, 4018, 1188, 14821, 203, 1070, 10776, 81, 4018, 1188, 540, 2542, 2445, 203, 81, 280, 40946, 32, 33170, 203, 751, 280, 5741, 32, 10579, 463, 17089, 1745, 31, 725, 4564, 474, 1156, 426, 8223, 203, 4687, 280, 35949, 1745, 32, 1163, 32, 1664, 1063, 346, 203, 823, 6256, 2798, 2570, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 203, 823, 11036, 10564, 26, 1473, 711, 284, 665, 622, 81, 10722, 26, 784, 711, 291, 6887, 280, 630, 1114, 371, 81, 3779, 81, 1648, 81, 6385, 346, 291, 442, 6887, 32, 371, 81, 10722, 346, 284, 665, 617, 371, 81, 3779, 81, 1648, 81, 6385, 26, 784, 711, 291, 3621, 81, 6385, 280, 8059, 5813, 2062, 2570, 346, 291, 415, 3621, 81, 6385, 32, 1237, 81, 7095, 2262, 324, 442, 3621, 81, 6385, 291, 442, 390, 6161, 5813, 2062, 2570, 346, 203, 823, 8059, 5813, 2062, 2570, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 2219, 81, 6385, 280, 36757, 32, 1981, 26, 47846, 32, 2955, 81, 32749, 27, 291, 630, 32, 8543, 280, 36757, 32, 1981, 26, 47846, 32, 35937, 27, 284, 665, 4125, 81, 7095, 26, 784, 711, 291, 442, 630, 1114, 3781, 922, 25166, 81, 3142, 440, 7230, 81, 10722, 657, 284, 665, 622, 81, 10722, 26, 784, 711, 291, 442, 630, 1114, 3781, 922, 371, 8589, 47550, 26, 784, 32, 8543, 32, 6572, 27, 284, 665, 617, 3781, 26, 784, 711, 291, 442, 630, 32, 2219, 81, 6385, 32, 371, 81, 14162, 81, 2393, 81, 2219, 346, 203, 823, 390, 6161, 5813, 2062, 2570, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 304, 34238, 81, 1515, 280, 36757, 32, 1981, 26, 47846, 32, 1438, 81, 3197, 27, 291, 630, 32, 2445, 81, 1515, 280, 36757, 32, 1981, 26, 47846, 32, 2383, 54, 81, 3197, 27, 291, 630, 32, 2219, 81, 6385, 280, 36757, 32, 1981, 26, 47846, 32, 2955, 81, 32749, 27, 291, 630, 32, 1286, 81, 3841, 280, 630, 32, 2219, 81, 6385, 32, 371, 81, 1286, 81, 3841, 346, 284, 665, 622, 81, 10722, 26, 784, 711, 291, 3621, 81, 2445, 280, 1665, 291, 6713, 81, 8416, 280, 630, 32, 2445, 81, 1515, 32, 371, 81, 18132, 81, 8416, 346, 291, 436, 4054, 81, 2888, 328, 6713, 81, 8416, 44, 324, 4054, 81, 6989, 280, 6713, 81, 8416, 77, 2445, 81, 2888, 79, 324, 10052, 280, 4054, 81, 6989, 32, 8416, 324, 436, 4054, 328, 10052, 44, 400, 540, 2542, 81, 16937, 280, 540, 2542, 2445, 32, 68, 23947, 3409, 11945, 26, 2445, 27, 400, 415, 540, 2542, 81, 16937, 32, 297, 81, 100, 2542, 2262, 528, 3621, 81, 2445, 280, 4054, 291, 415, 3621, 81, 2445, 438, 1665, 44, 324, 1245, 32, 2811, 440, 2023, 10052, 623, 559, 23947, 4054, 5911 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 3, 4, 0, 3, 2, 2, 4, 5, 4, 7, 7, 7, 7, 7, 5, 5, 6, 6, 0, 3, 2, 2, 6, 5, 6, 4, 5, 5, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 4, 4, 5, 8, 8, 7, 8, 8, 8, 7, 5, 5, 7, 8, 8, 4, 4, 5, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 8, 8, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 8, 8, 8, 7, 10, 9, 10, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 10, 9, 10, 10, 10, 9, 6, 6, 8, 8, 10, 10, 9, 10, 6, 6, 7, 7, 7, 7, 7, 7, 11, 11, 11, 10, 10, 13, 13, 12, 13, 13, 13, 13, 12, 13, 12, 8, 8, 9, 12, 12, 12, 11, 12, 12, 12, 12, 11, 9, 9, 13, 13, 12, 12, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 1, 2, 0, 6, 6, 0, 0, 6, 6, 3, 3, 0, 7, 7, 0, 0, 7, 7, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 0, 0, 0, 13, 13, 1, 2, 1, 2, 13, 13, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 4, 4, 2, 0, 0, 0, 0, 1, 0, 14, 14, 1, 1, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 15, 15, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 5, 5, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 4, 4, 3, 0, 0, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1277, 203, 433, 203, 1482, 203, 465, 5237, 203, 823, 16313, 26, 1473, 711, 334, 313, 51, 26401, 443, 20, 334, 4588, 2816, 280, 3177, 334, 28805, 2816, 280, 3177, 334, 2519, 4446, 2816, 280, 3177, 334, 5202, 280, 1665, 334, 665, 4588, 26, 6933, 30, 1474, 711, 284, 313, 4311, 312, 4588, 1474, 20, 284, 415, 646, 16313, 32, 2811, 2816, 556, 16313, 32, 22290, 2816, 44, 397, 442, 284, 16313, 32, 2245, 26, 1436, 30, 5237, 32, 9362, 27, 334, 665, 1474, 26, 6933, 30, 1474, 711, 284, 313, 4311, 312, 8244, 1474, 20, 284, 415, 16313, 32, 22290, 2816, 44, 397, 442, 284, 415, 16313, 32, 4254, 461, 16313, 32, 2245, 4446, 2816, 44, 397, 1474, 280, 16313, 32, 4254, 474, 1474, 284, 16313, 32, 2245, 26, 1436, 30, 5237, 32, 9362, 27, 334, 665, 1048, 26, 6933, 30, 1474, 711, 284, 313, 4311, 600, 1048, 1474, 20, 284, 1474, 280, 13838, 330, 474, 1474, 284, 415, 16313, 32, 4254, 461, 16313, 32, 2245, 4446, 2816, 44, 397, 1474, 280, 16313, 32, 4254, 474, 1474, 284, 16313, 32, 2245, 26, 1436, 30, 5237, 32, 8228, 27, 334, 665, 26250, 26, 6933, 30, 1474, 711, 284, 313, 4311, 600, 1048, 1474, 461, 23086, 20, 284, 16313, 32, 731, 463, 27163, 44, 330, 474, 1474, 27, 284, 4323, 3736, 35, 27, 334, 665, 2519, 26, 6933, 30, 1474, 30, 3826, 711, 284, 313, 4311, 312, 1474, 963, 432, 312, 3826, 20, 284, 415, 5237, 32, 1648, 81, 1338, 333, 308, 37, 30, 34, 711, 397, 1474, 280, 1474, 32, 4434, 463, 3310, 31, 42, 683, 284, 3826, 32, 1821, 26, 1436, 474, 3228, 96, 683, 334, 4588, 280, 443, 1959, 26, 2811, 27, 334, 1474, 280, 443, 1959, 26, 1436, 27, 334, 1048, 280, 443, 1959, 26, 731, 27, 334, 26250, 280, 443, 1959, 26, 23766, 27, 334, 2519, 280, 443, 1959, 26, 2245, 27, 203, 465, 2322, 32, 983, 203, 465, 5237, 203, 823, 45508, 7957, 1063, 26, 1473, 711, 334, 313, 2324, 443, 645, 709, 107, 13146, 32, 1163, 803, 20, 334, 1399, 839, 13130, 269, 280, 301, 397, 1044, 25, 50, 4066, 950, 103, 32871, 17583, 32, 398, 1311, 32, 333, 91, 17124, 14431, 377, 91, 2717, 109, 9496, 7236, 44, 10598, 5646, 30, 111, 398, 5904, 398, 4548, 12604, 33621, 44, 398, 13351, 32, 3451, 3834, 333, 83, 976, 12672, 965, 23706, 965, 377, 83, 4503, 3451, 398, 5766, 32, 10047, 8572, 1044, 25, 13674, 950, 103, 32871, 37128, 794, 4548, 7243, 8572, 1044, 5438, 2312, 740, 950, 103, 32871, 17583, 32, 333, 91, 17124, 1311, 377, 91, 4503, 398, 15074, 30, 398, 4548, 12604, 3834, 333, 83, 976, 12672, 965, 23706, 965, 377, 83, 4503, 3451, 398, 5766, 32, 10047, 8572, 320, 334, 7377, 280, 301, 397, 1044, 25, 50, 4066, 950, 103, 32871, 17583, 32, 398, 1311, 12604, 333, 91, 17124, 14431, 377, 91, 4178, 30, 9496, 7236, 3451, 794, 2171, 27905, 14379, 398, 5646, 3451, 30, 398, 4548, 4009, 3451, 333, 83, 976, 12672, 965, 23706, 965, 377, 83, 4503, 3451, 333, 83, 976 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 9, 9, 6, 6, 7, 8, 8, 5, 5, 5, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 4, 4, 5, 6, 7, 7, 5, 5, 5, 4, 4, 5, 7, 8, 6, 6, 7, 8, 8, 8, 5, 5, 5, 8, 8, 10, 11, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 4, 4, 6, 6, 9, 7, 7, 4, 4, 5, 7, 8, 6, 6, 7, 8, 8, 8, 5, 5, 5, 8, 8, 10, 11, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 10, 10, 10, 8, 8, 7, 4, 4, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 8, 8, 6, 6, 8, 7, 8, 7, 5, 5, 8, 8, 10, 11, 10, 12, 12, 12, 12, 4, 4, 7, 8, 7, 9, 8, 8, 11, 10, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 4, 4, 6, 6, 7, 6, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 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, 2, 2, 4, 4, 5, 5, 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 ]
[ 0, 0, 1, 0, 2, 0, 3, 3, 0, 4, 4, 2, 1, 2, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 5, 2, 1, 2, 2, 2, 5, 5, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 6, 2, 1, 2, 2, 2, 6, 6, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 2, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 7, 2, 1, 2, 2, 2, 7, 7, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 2, 4, 4, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 8, 2, 1, 2, 2, 2, 8, 8, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 9, 2, 1, 2, 2, 2, 2, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 2, 3, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 0, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 0, 5, 5, 1, 2, 0, 6, 6, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 2156, 3034, 32, 4882, 32, 18651, 1188, 1695, 203, 823, 2108, 17259, 26, 1439, 32, 1761, 27102, 1006, 711, 284, 665, 894, 81, 45998, 1196, 26, 784, 711, 291, 19089, 81, 426, 280, 630, 32, 371, 10189, 652, 346, 291, 24144, 81, 5634, 280, 630, 32, 371, 10189, 652, 346, 291, 630, 32, 669, 20253, 26, 784, 32, 15276, 30, 19089, 81, 426, 27, 291, 19089, 280, 630, 32, 2989, 81, 3209, 32, 1297, 81, 20224, 26, 20224, 81, 426, 27, 291, 19089, 81, 3631, 280, 428, 104, 710, 314, 785, 656, 436, 354, 328, 630, 32, 2989, 81, 3209, 32, 668, 81, 45998, 1196, 7662, 291, 630, 32, 33966, 26, 20224, 710, 314, 2188, 19089, 81, 3631, 27, 291, 19089, 280, 630, 32, 2989, 81, 3209, 32, 1877, 81, 20224, 26, 324, 19089, 81, 426, 30, 324, 24144, 81, 5634, 47, 23724, 81, 5634, 291, 829, 291, 630, 32, 5299, 26, 23724, 81, 5634, 30, 19089, 710, 23724, 81, 5634, 3490, 291, 19089, 280, 630, 32, 2989, 81, 3209, 32, 470, 81, 20224, 81, 4519, 26, 324, 19089, 81, 426, 30, 324, 5053, 678, 950, 330, 853, 6040, 291, 829, 291, 630, 32, 33966, 463, 678, 370, 19089, 710, 4519, 3490, 291, 19089, 280, 630, 32, 2989, 81, 3209, 32, 470, 81, 20224, 81, 4519, 26, 324, 19089, 81, 426, 30, 324, 5053, 678, 950, 1665, 111, 291, 829, 291, 630, 32, 31196, 383, 463, 678, 370, 19089, 710, 4519, 3490, 291, 630, 32, 2989, 81, 3209, 32, 2560, 81, 20224, 26, 20224, 81, 426, 27, 284, 665, 13144, 26, 784, 30, 19089, 81, 426, 711, 291, 19089, 280, 630, 32, 2989, 81, 3209, 32, 371, 81, 20224, 26, 20224, 81, 426, 27, 291, 415, 19089, 44, 324, 630, 32, 2989, 81, 3209, 32, 2560, 81, 20224, 26, 20224, 81, 426, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 7, 9, 8, 9, 7, 7, 8, 8, 7, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 8, 10, 10, 7, 7, 8, 8, 8, 11, 12, 12, 12, 10, 11, 11, 11, 11, 10, 4, 4, 7, 8, 7, 9, 8, 10, 10, 7, 8, 8, 7, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 8, 8, 9, 9, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 8, 8, 8, 12, 12, 10, 12, 12, 8, 8, 4, 4, 7, 8, 7, 9, 9, 7, 8, 10, 10, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 8, 8, 8, 12, 12, 10, 9, 8, 8, 4, 4, 7, 8, 8, 7, 9, 9, 7, 8, 10, 10, 4, 4, 8, 9, 9, 9, 7, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 5, 5, 5, 5, 10, 11, 11, 11, 9, 10, 10, 10, 9, 10, 10, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 4, 4, 0, 2, 2, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 638, 1188, 15660, 1972, 203, 465, 2192, 30, 6234, 203, 1070, 281, 652, 2338, 1188, 44524, 203, 823, 14453, 1972, 26, 5506, 1972, 711, 284, 665, 2887, 81, 6286, 26, 784, 711, 291, 630, 32, 85, 32, 445, 30963, 81, 1786, 81, 3841, 346, 291, 457, 2425, 280, 428, 784, 32, 85, 32, 1580, 81, 3781, 32, 100, 761, 30, 630, 32, 85, 32, 1786, 81, 3781, 32, 100, 761, 79, 291, 2218, 646, 630, 32, 85, 32, 2679, 44, 324, 540, 30, 4950, 617, 280, 2192, 32, 1613, 26, 468, 2425, 30, 5518, 5518, 225, 35, 34, 27, 324, 436, 540, 761, 328, 540, 44, 400, 415, 630, 32, 85, 32, 1580, 81, 3781, 32, 100, 761, 610, 540, 761, 44, 528, 1561, 30, 7112, 280, 630, 32, 85, 32, 1580, 81, 3781, 30, 630, 32, 85, 32, 1786, 81, 3781, 528, 6983, 280, 313, 396, 10355, 967, 20, 528, 7112, 81, 466, 280, 5461, 101, 6069, 101, 20, 904, 630, 32, 85, 32, 1786, 81, 3781, 32, 2468, 346, 2867, 36, 79, 400, 813, 44, 528, 7112, 30, 1561, 280, 630, 32, 85, 32, 1580, 81, 3781, 30, 630, 32, 85, 32, 1786, 81, 3781, 528, 6983, 280, 3778, 31, 10355, 4821, 20, 528, 7112, 81, 466, 280, 313, 1580, 20, 400, 706, 280, 44524, 346, 400, 2218, 2155, 26, 38, 34, 43, 40, 711, 528, 540, 30, 4950, 617, 280, 2192, 32, 1613, 2009, 100, 761, 614, 5518, 5518, 225, 34, 27, 528, 415, 2069, 26, 100, 711, 715, 343, 280, 540, 761, 32, 850, 26, 35, 27, 715, 415, 343, 610, 34863, 261, 1014, 1626, 715, 706, 32, 1821, 26, 86, 27, 715, 415, 1561, 32, 6482, 81, 445, 360, 5829, 44, 1014, 706, 32, 1821, 26, 100, 761, 32, 850, 26, 1617, 32, 3841, 32, 9671, 5156, 528, 813, 44, 261, 715, 1626, 400, 706, 280, 706, 32, 371, 853, 346, 400, 415, 706, 610, 34863, 261, 528, 630, 32, 85, 32, 751, 440, 4173, 4127, 3387, 372, 904, 101, 20, 904, 7112, 81, 466, 27, 528, 457, 2425, 32, 2546, 26, 100, 761, 27, 528, 415, 7112, 32, 6482, 81, 445, 360, 5829, 44, 715, 7112, 32, 3841, 32, 16080, 346, 528, 813, 44, 715, 7112, 32, 3841, 32, 16080, 26, 4817, 32, 48682, 81, 2591, 27, 528, 415, 2069, 26, 468, 2425, 27, 610, 225, 34, 44, 715, 630, 32, 85, 32, 2679, 280, 2933, 528, 1626, 400, 630, 32, 85, 32, 751, 4912, 101, 904, 101, 78, 100, 78, 96, 23, 101, 20, 904, 308, 7354, 30, 7112, 81, 466, 30, 605, 490, 400, 7112, 32, 105, 761, 32, 1821, 26, 605, 27, 400, 7112, 32, 105, 761, 32, 9321, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 6, 6, 11, 10, 11, 9, 10, 10, 10, 8, 9, 9, 7, 7, 10, 11, 9, 10, 10, 10, 8, 9, 9, 7, 4, 4, 5, 6, 8, 9, 7, 8, 5, 5, 5, 9, 9, 9, 8, 8, 10, 11, 10, 11, 11, 10, 10, 10, 10, 11, 11, 10, 6, 6, 7, 8, 7, 7, 7, 7, 7, 9, 13, 14, 12, 13, 13, 13, 11, 12, 12, 10, 10, 11, 9, 9, 9, 13, 13, 12, 12, 15, 16, 14, 15, 15, 15, 13, 13, 15, 16, 14, 15, 15, 15, 10, 10, 12, 12, 14, 14, 14, 14, 10, 10, 13, 13, 12, 12, 15, 15, 15, 15, 13, 13, 18, 19, 17, 18, 18, 18, 16, 17, 16, 14, 16, 14, 9, 9, 10, 10, 10, 14, 14, 13, 13, 16, 17, 15, 16, 16, 16, 14, 14, 16, 17, 15, 16, 16, 16, 11, 11, 13, 13, 15, 15, 15, 15, 11, 11, 14, 14, 13, 13, 15, 15, 8, 8, 10, 10, 12, 8, 8, 9, 11, 12, 12, 12, 12, 11, 9, 9, 13, 13, 13, 12, 12, 14, 15, 14, 16, 16, 15, 14, 14, 14, 15, 14, 10, 10, 11, 13, 14, 13, 11, 11, 14, 14, 17, 16, 17, 16, 17, 16, 12, 12, 13, 14, 14, 13, 13, 13, 12, 12, 15, 16, 15, 16, 15, 12, 12, 13, 14, 15, 15, 15, 15, 15, 13, 13, 13, 17, 18, 17, 20, 20, 19, 20, 19, 23, 22, 23, 21, 22, 21, 11, 11, 12, 12, 12, 12, 8, 8, 10, 10, 12, 13, 13, 12, 8, 8, 9, 10, 10, 9, 9, 9, 14, 15, 13, 14, 13, 16, 16, 16, 16, 16, 16, 16, 14, 14, 15, 15, 13, 10, 10, 14, 13, 14, 13, 14, 14, 13, 10, 10, 11, 12, 13, 13, 13, 13, 13, 11, 11, 11, 16, 17, 15, 16, 15, 11, 11, 12, 12, 12, 17, 18, 16, 17, 16, 18, 17, 18, 18, 18, 16, 10, 10, 11, 14, 15, 15, 14, 12, 12, 13, 11, 11, 11, 16, 17, 15, 16, 14, 14, 10, 10, 8, 8, 12, 13, 11, 12, 11, 14, 14, 14, 15, 15, 15, 15, 14, 14, 14, 12, 12, 14, 13, 13, 14, 14, 13, 14, 13, 8, 8, 12, 13, 13, 11, 12, 11, 12, 11, 8, 8, 12, 13, 13, 11, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 3, 2, 2, 2, 4, 4, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 5, 5, 0, 0, 1, 5, 5, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 7, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 4, 4, 5, 5, 0, 0, 0, 2, 2, 1, 5, 5, 4, 1, 1, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 4, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 2, 0, 2, 0, 0, 3, 3, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 5, 2, 5, 5, 0, 2, 2, 0, 2, 1, 1, 1, 5, 5, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 2116, 505, 280, 330, 72, 36627, 546, 991, 83, 25, 203, 505, 770, 505, 280, 330, 22749, 675, 225, 36, 34, 35, 36, 25, 203, 505, 11794, 505, 280, 15584, 53, 27, 225, 36, 34, 35, 36, 30, 676, 36627, 546, 991, 83, 25, 203, 465, 2322, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 37571, 1188, 1910, 2913, 203, 1070, 2678, 21031, 32, 1262, 1188, 308, 67, 5360, 21579, 36206, 30, 5556, 1910, 5360, 11415, 984, 30, 5556, 1910, 5360, 11415, 3012, 3373, 30, 5556, 1910, 5360, 11415, 3012, 21579, 4772, 30, 5556, 1910, 5360, 11415, 3012, 14739, 30, 5556, 1910, 5360, 11415, 3012, 2759, 30, 5556, 1910, 5360, 11415, 3012, 652, 30, 5556, 1910, 5360, 11415, 3012, 1918, 30, 5556, 1910, 5360, 11415, 3012, 21579, 11340, 27, 203, 1070, 8202, 32, 279, 5360, 32, 42986, 32, 57, 33866, 10448, 1188, 570, 33866, 10448, 203, 1070, 8202, 32, 279, 5360, 32, 42986, 32, 57, 33866, 2755, 1188, 570, 33866, 2755, 203, 1070, 8202, 32, 4280, 32, 2946, 1188, 438, 2839, 203, 2796, 1215, 280, 2322, 32, 983, 32, 2998, 26, 500, 32, 983, 32, 2998, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 77, 34, 33192, 34, 79, 203, 823, 22627, 30443, 26, 57, 33866, 10448, 711, 284, 20587, 280, 330, 10840, 25, 284, 551, 3349, 280, 330, 42880, 25, 284, 2742, 280, 330, 20866, 25, 284, 7482, 81, 43756, 280, 330, 3459, 81, 43756, 25, 284, 37992, 280, 330, 25302, 25, 284, 6407, 10995, 280, 330, 47795, 25, 284, 4435, 4601, 280, 330, 2576, 4601, 25, 284, 37478, 280, 330, 15979, 25, 284, 2783, 12512, 280, 330, 20185, 25, 284, 9591, 81, 2319, 280, 330, 4601, 81, 2319, 25, 284, 21451, 280, 330, 10843, 25, 284, 37075, 11678, 280, 2107, 3930, 370, 330, 1428, 35, 40, 370, 330, 9269, 35, 40, 370, 330, 9269, 37, 36, 370, 330, 1428, 37, 36, 370, 330, 3670, 37, 36, 370, 330, 3670, 40, 38, 370, 330, 53, 1428, 35, 40, 370, 330, 53, 1428, 37, 36, 370, 330, 53, 3670, 37, 36, 370, 330, 53, 3670, 40, 38, 785, 284, 665, 4269, 26, 784, 711, 291, 442, 1910, 2913, 26, 500, 32, 983, 32, 2524, 26, 2796, 1215, 30, 330, 2242, 370, 330, 42986, 4280, 370, 330, 22181, 30443, 32, 1645, 2847, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 17094, 1664, 16369, 284, 665, 3219, 10448, 26, 784, 30, 1359, 47, 2521, 711, 291, 630, 32, 8018, 13120, 280, 1833, 784, 32, 359, 463, 10632, 36307, 10517, 1425, 330, 28815, 1425, 4985, 308, 784, 32, 359, 463, 7034, 10517, 1425, 330, 21342, 2847, 291, 630, 32, 669, 3012, 26, 67, 5360, 11415, 3012, 21579, 4772, 26, 784, 32, 10840, 30, 9930, 630, 32, 359, 463, 1612, 5396, 21180, 291, 630, 32, 669, 3012, 26, 67, 5360, 11415, 3012, 14739, 26, 784, 32, 42880, 30, 20054, 630, 32, 359, 463, 14739, 1451, 1425, 20079, 35, 30, 20054, 2935, 4772, 41025, 47, 784, 32, 10840, 490, 291, 630, 32, 669, 3012, 26, 67, 5360, 11415, 3012, 652, 26, 784, 32, 20866 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 2, 2, 6, 7, 5, 6, 5, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 6, 7, 6, 4, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 4, 4, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 7, 11, 10, 11, 9, 10, 9, 10, 10, 9, 9, 11, 11, 9, 11, 11, 11, 9, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 6, 6, 11, 10, 11, 10, 12, 12, 12, 12, 8, 10, 10, 7, 7, 11, 10, 11, 10, 12, 12, 12, 8, 10, 10, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 9, 9, 9, 11, 12, 11, 13, 13, 13, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 11, 10, 11, 9, 9, 9, 11, 12, 11, 13, 13, 13, 9, 10, 9, 9, 9, 11, 11, 10, 12, 11, 12, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 11, 10, 11 ]
[ 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, 1, 1, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 6, 6, 1, 2, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 1, 2, 2, 1, 4, 1, 6, 6, 6, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 10, 10, 1, 2, 1, 1, 1, 2, 10, 10, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 12, 2, 1, 2, 12, 12, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 13, 1, 1, 1, 2, 13, 13, 1, 2, 2, 4, 4, 14, 1, 2, 1, 2, 2, 3, 2, 2, 14, 14, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 3, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 5, 1, 1, 1, 0, 0, 7, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2 ]
[ 465, 2322, 30, 15798, 203, 1070, 26015, 1188, 319, 203, 1270, 44, 284, 13437, 6439, 9926, 203, 7343, 3270, 924, 44, 284, 13437, 6439, 9926, 280, 390, 6439, 9926, 203, 465, 617, 32271, 81, 858, 203, 1356, 280, 390, 17950, 2176, 32271, 81, 858, 3667, 761, 8223, 203, 823, 390, 4206, 2651, 7233, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 6390, 26, 784, 711, 291, 1593, 280, 13437, 6439, 9926, 26, 85, 81, 410, 30, 281, 81, 410, 30, 281, 81, 410, 27, 291, 665, 3420, 2740, 1132, 711, 324, 442, 2069, 26, 1132, 27, 291, 816, 280, 1593, 26, 1298, 27, 291, 630, 32, 5299, 26, 106, 32, 4738, 411, 30, 281, 81, 410, 27, 291, 630, 32, 5299, 26, 106, 32, 626, 2516, 30, 308, 85, 81, 410, 30, 281, 81, 410, 490, 291, 630, 32, 5299, 26, 7545, 26, 106, 471, 3744, 26, 85, 81, 1117, 98, 490, 291, 630, 32, 5299, 26, 7545, 26, 74, 471, 3744, 26, 85, 81, 1117, 98, 490, 284, 665, 894, 81, 2232, 26, 784, 711, 291, 27763, 3296, 280, 13437, 6439, 9926, 26, 85, 81, 410, 30, 281, 81, 410, 30, 281, 81, 410, 27, 291, 390, 4214, 3296, 280, 390, 6439, 9926, 26, 85, 81, 410, 30, 281, 81, 410, 30, 281, 81, 410, 27, 291, 665, 3420, 26, 83, 30, 323, 711, 324, 442, 312, 474, 323, 291, 309, 280, 27763, 3296, 26, 1298, 27, 291, 281, 280, 390, 4214, 3296, 26, 1298, 27, 291, 630, 32, 5299, 26, 101, 26, 35, 30, 225, 36, 471, 225, 37, 27, 291, 630, 32, 5299, 26, 85, 26, 35, 30, 225, 36, 471, 225, 37, 27, 291, 630, 32, 5299, 26, 85, 26, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 30, 225, 40, 471, 225, 37, 27, 291, 415, 646, 13437, 6439, 9926, 438, 390, 6439, 9926, 461, 2322, 32, 426, 863, 313, 369, 563, 324, 630, 32, 23895, 26, 18082, 30, 309, 30, 225, 35, 30, 225, 36, 30, 225, 37, 27, 284, 665, 894, 81, 25078, 26, 784, 711, 291, 624, 9110, 10826, 280, 13437, 6439, 9926, 26, 85, 81, 3222, 30, 281, 81, 410, 30, 281, 81, 410, 30, 281, 81, 410, 30, 281, 81, 410, 27, 291, 665, 341, 1442, 6789, 26, 24293, 30, 3124, 30, 44662, 30, 42911, 711, 324, 442, 41081, 474, 3124, 474, 44662, 474, 42911, 291, 677, 12452, 280, 281, 81, 410, 291, 677, 18576, 280, 281, 81, 410, 291, 677, 33437, 280, 281, 81, 410, 291, 15717, 42025, 280, 281, 81, 1594, 81, 98, 291, 443, 624, 9110, 7420, 26, 8634, 711, 324, 617, 4151, 81, 280, 428, 440, 1621, 392, 281, 81, 1774, 471, 715, 2884, 1915, 3359, 19729, 11105, 392, 624, 9110, 10826, 471, 715, 2884, 2500, 24851, 9113, 392, 281, 81, 410, 471, 715, 2884, 2500, 19729, 9113, 392, 281, 81, 410, 471, 715, 2884, 90, 1810, 392, 677, 12452, 471, 715, 2884, 90, 2913, 392, 677, 18576, 471, 715, 2884, 90, 7417, 392, 677, 33437, 471, 715, 2884, 94, 16909, 2672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 1, 2, 2, 3, 2, 2, 2, 6, 6, 5, 5, 6, 6, 0, 1, 1, 3, 3, 3, 0, 3, 2, 2, 4, 4, 6, 6, 6, 5, 6, 6, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 4, 4, 5, 6, 8, 6, 5, 5, 7, 9, 10, 9, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 9, 9, 9, 8, 8, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 10, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 7, 8, 8, 4, 4, 6, 6, 8, 8, 9, 8, 4, 4, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 7, 8, 7, 4, 4, 5, 7, 9, 9, 8, 8, 9, 9, 6, 6, 8, 9, 7, 7, 9, 9, 5, 5, 9, 10, 9, 10, 9, 9, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 10, 10, 9, 9, 8, 8, 4, 4, 7, 6, 6, 7, 7, 4, 4, 7, 6, 6, 7, 7, 4, 4, 7, 6, 6, 7, 7, 4, 4, 7, 6, 6, 7, 7, 7, 7, 4, 4, 5, 6, 6, 6, 7, 6, 5, 5, 9, 9, 8, 8, 10, 12, 12, 10, 11, 11, 10, 9, 9, 12, 12, 12, 12, 12, 10, 11, 11, 10, 9, 9, 12, 12, 12, 12, 10, 11, 11, 10, 9, 9, 12, 12, 12, 12, 10, 11, 11, 10, 9, 9, 12, 12, 12, 10, 11, 10, 9, 9, 12, 12, 12, 10, 11, 10, 9, 9, 12, 12, 12, 10, 11, 10, 9, 9, 12, 12, 12 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 3, 3, 1, 3, 3, 3, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 5, 5, 1, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 3, 1, 4, 4, 8, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 8, 8, 0, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 1, 2, 2, 1, 1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 1, 2, 5, 3, 3, 5, 2, 2, 1, 1, 1, 2, 7, 3, 3, 7, 2, 2, 1, 1, 2, 9, 3, 9, 2, 2, 1, 1, 2, 11, 3, 11, 2, 2, 1, 1, 2, 13, 3, 13, 2, 2, 1, 1, 1 ]
[ 465, 4395, 203, 465, 2322, 203, 1070, 2322, 1188, 1519, 203, 465, 5237, 203, 465, 15798, 203, 1070, 894, 81, 12937, 1188, 13144, 203, 1070, 894, 81, 12937, 1188, 622, 81, 12937, 203, 1070, 894, 81, 12937, 1188, 1930, 81, 1163, 203, 27433, 81, 3197, 280, 330, 12937, 25, 203, 3731, 32, 983, 32, 1689, 26, 983, 32, 2524, 26, 500, 32, 33115, 1026, 1236, 72, 81, 3197, 490, 203, 1070, 2322, 83, 81, 21936, 1188, 23072, 619, 5980, 203, 9682, 81, 3197, 280, 1519, 32, 2524, 26, 500, 32, 33115, 1026, 330, 4882, 370, 330, 12937, 683, 203, 4975, 81, 6191, 81, 3539, 280, 1519, 32, 2524, 26, 9682, 81, 3197, 30, 330, 26878, 81, 496, 81, 1163, 32, 7070, 683, 203, 589, 14553, 2459, 2262, 284, 1930, 81, 1163, 346, 203, 589, 28921, 2459, 2262, 284, 2322, 32, 2546, 26, 4975, 81, 6191, 81, 3539, 27, 203, 823, 2108, 11726, 28897, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 19661, 81, 10181, 81, 761, 26, 784, 711, 291, 17041, 81, 761, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 9682, 81, 3197, 30, 12928, 330, 26878, 81, 12937, 32, 1260, 683, 291, 622, 81, 10181, 81, 426, 81, 983, 280, 330, 22072, 81, 21936, 32, 18290, 1114, 371, 81, 10181, 81, 426, 25, 291, 12780, 81, 426, 280, 330, 26878, 81, 12937, 32, 1260, 31, 36, 34, 35, 40, 34, 39, 37, 35, 81, 35, 41, 35, 42, 34, 38, 32, 1260, 25, 291, 13539, 81, 761, 280, 4395, 32, 20229, 3660, 346, 291, 13539, 81, 761, 3667, 1403, 9818, 601, 81, 853, 280, 13539, 81, 761, 291, 623, 4395, 32, 2675, 463, 22072, 81, 21936, 32, 18290, 32, 5366, 761, 32, 1676, 683, 619, 13539, 81, 1676, 44, 324, 13539, 81, 1676, 32, 601, 81, 853, 280, 13539, 81, 761, 324, 623, 4395, 32, 2675, 26, 371, 81, 10181, 81, 426, 81, 983, 27, 619, 12780, 81, 3613, 44, 400, 12780, 81, 3613, 32, 601, 81, 853, 280, 12780, 81, 426, 400, 5980, 1114, 2682, 81, 10181, 26, 9682, 81, 3197, 30, 17041, 81, 761, 81, 983, 27, 291, 12780, 81, 983, 280, 1519, 32, 2524, 26, 9682, 81, 3197, 30, 330, 10181, 81, 26878, 81, 12937, 32, 5366, 683, 291, 13539, 81, 1676, 32, 862, 81, 10910, 81, 1793, 26, 10181, 81, 983, 30, 330, 83, 683, 291, 13539, 81, 761, 32, 669, 32, 862, 81, 10910, 81, 1793, 26, 12937, 81, 761, 81, 983, 30, 2476, 20507, 426, 47, 10181, 81, 426, 27, 284, 665, 894, 81, 268, 19661, 81, 2536, 26, 784, 711, 291, 622, 81, 12937, 346, 291, 622, 81, 12937, 346, 291, 12780, 81, 983, 280, 1519, 32, 2524, 26, 9682, 81, 3197, 30, 330, 10181, 81, 26878, 81, 12937, 32, 5366, 683, 291, 630, 32, 14846, 26, 500, 32, 983, 32, 4658, 26, 10181, 81, 983, 490, 284, 665, 894, 81, 100, 747, 4421, 81, 2536, 26, 784, 711, 291, 622, 81, 12937, 26, 6008, 47, 2700, 27, 291, 4691, 30, 1519, 280, 5980, 32, 944, 81, 12937, 26, 9682, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 0, 5, 4, 5, 3, 4, 3, 6, 5, 6, 5, 8, 7, 8, 7, 5, 6, 6, 6, 5, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 3, 3, 3, 2, 2, 4, 5, 4, 7, 6, 7, 6, 4, 6, 6, 4, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 1, 1, 5, 5, 5, 0, 1, 1, 2, 2, 1, 1, 5, 6, 5, 6, 6, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 9, 9, 8, 9, 9, 8, 8, 8, 6, 6, 7, 7, 4, 4, 5, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 10, 10, 5, 5, 5, 10, 10, 9, 10, 10, 10, 8, 8, 9, 9, 6, 6, 7, 12, 13, 12, 13, 13, 13, 13, 13, 13, 13, 12, 10, 10, 12, 12, 7, 7, 7, 12, 12, 11, 12, 12, 12, 10, 10, 11, 11, 8, 8, 11, 12, 12, 12, 11, 12, 12, 12, 11, 11, 12, 12, 12, 12, 11, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 9, 4, 4, 9, 9, 8, 9, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 7, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 4, 4, 7, 7, 7, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 9, 8, 9, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 3, 3, 3, 1, 0, 10, 10, 0, 0, 0, 10, 10, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 2, 13, 13, 0, 0, 1, 0, 14, 14, 1, 2, 14, 14, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 15, 15, 1, 1, 2, 0, 1, 2, 2, 15, 15, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 4, 4, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1 ]
[ 1070, 3860, 12142, 21313, 32, 29143, 1188, 2361, 203, 1070, 3860, 12142, 21313, 32, 29143, 1188, 15358, 203, 1070, 3860, 12142, 21313, 32, 9331, 32, 1439, 1188, 13136, 1972, 203, 1070, 3860, 12142, 21313, 32, 1436, 1188, 4578, 203, 2554, 81, 30160, 81, 44886, 14139, 280, 330, 11431, 101, 9708, 101, 9708, 101, 33, 7211, 25, 203, 2554, 81, 30160, 81, 2788, 81, 9572, 280, 330, 28412, 9708, 101, 9708, 101, 33, 371, 25, 203, 823, 9261, 26, 8596, 1972, 711, 284, 665, 6672, 26, 784, 30, 3361, 30, 16388, 81, 678, 30, 15053, 1057, 404, 99, 32, 1536, 370, 400, 3501, 81, 2035, 1057, 13093, 4308, 47, 2521, 30, 5797, 81, 8644, 1057, 800, 7831, 291, 15053, 280, 15358, 26, 11431, 30, 9142, 291, 4308, 280, 4308, 556, 2149, 291, 3361, 280, 2361, 32, 16958, 26, 324, 301, 400, 330, 15753, 81, 678, 950, 16388, 81, 678, 30, 400, 330, 6263, 950, 3361, 30, 400, 330, 6263, 81, 8644, 950, 5797, 81, 8644, 30, 400, 330, 4642, 950, 4308, 30, 400, 330, 104, 2035, 950, 3501, 81, 2035, 324, 320, 291, 829, 291, 3501, 81, 2035, 280, 15358, 26, 5002, 81, 2035, 30, 9142, 291, 442, 630, 32, 525, 81, 1580, 32, 1526, 26, 2554, 81, 30160, 81, 44886, 14139, 904, 9474, 308, 11244, 3501, 81, 2035, 30, 11244, 15053, 471, 9474, 5797, 47, 1548, 27, 284, 665, 622, 26, 784, 30, 5523, 30, 3501, 81, 2035, 1057, 13093, 316, 3926, 47, 2700, 30, 372, 81, 2665, 47, 2700, 30, 324, 2385, 47, 35, 30, 32050, 47, 39, 34, 34, 34, 34, 30, 7328, 1057, 2837, 7831, 291, 17622, 2816, 280, 330, 459, 81, 268, 3926, 81, 1870, 25, 291, 415, 316, 3926, 44, 324, 17622, 2816, 280, 330, 459, 81, 268, 3926, 81, 1508, 25, 291, 622, 81, 6286, 280, 2361, 32, 16958, 26, 324, 301, 400, 330, 998, 950, 2385, 30, 400, 330, 268, 3926, 950, 316, 3926, 30, 400, 330, 459, 2816, 950, 17622, 2816, 30, 400, 330, 8644, 950, 7328, 30, 400, 330, 25432, 950, 32050, 30, 400, 330, 104, 2035, 950, 3501, 81, 2035, 324, 320, 291, 829, 291, 3501, 81, 2035, 280, 15358, 26, 5002, 81, 2035, 30, 9142, 291, 1789, 280, 630, 32, 525, 81, 1580, 32, 1526, 26, 2554, 81, 30160, 81, 2788, 81, 9572, 904, 11244, 308, 13687, 3501, 81, 2035, 30, 13687, 5523, 11244, 2588, 11244, 5797, 47, 371, 81, 6286, 27, 291, 415, 372, 81, 2665, 44, 324, 442, 1789, 291, 5218, 280, 1605, 291, 436, 1474, 328, 1789, 44, 324, 3361, 280, 1474, 32, 371, 463, 1548, 683, 324, 415, 646, 3361, 44, 400, 3361, 280, 1474, 32, 371, 463, 6263, 683, 324, 5218, 32, 1689, 26, 1175, 26, 400, 3826, 47, 2521, 30, 400, 3361, 47, 1548, 30, 400, 4308, 47, 1436, 32, 371, 463, 4642, 1425, 400, 2267, 81, 5460, 47, 1815, 30, 324, 9658, 291, 442, 5218, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 7, 7, 7, 7, 7, 4, 4, 6, 6, 5, 7, 4, 5, 6, 4, 4, 6, 6, 5, 7, 7, 3, 3, 6, 6, 8, 9, 8, 8, 4, 4, 6, 6, 7, 7, 4, 4, 6, 6, 8, 9, 8, 8, 8, 9, 9, 12, 12, 12, 12, 10, 11, 11, 9, 9, 9, 12, 12, 10, 9, 9, 9, 12, 12, 12, 12, 10, 11, 11, 9, 9, 9, 12, 12, 10, 9, 9, 9, 12, 12, 12, 10, 11, 11, 9, 9, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 8, 4, 4, 5, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 10, 10, 9, 9, 9, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 6, 5, 7, 4, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 3, 3, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 6, 5, 5, 5, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 9, 8, 8, 8, 9, 9, 12, 12, 10, 9, 9, 9, 12, 12, 12, 10, 11, 9, 9, 9, 12, 12, 12, 10, 11, 9, 9, 9, 12, 12, 10, 9, 9, 9, 12, 12, 10, 9, 9, 9, 12, 12, 12, 10, 11, 11, 9, 9, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 8, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 10, 10, 11, 11, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 8, 8, 10, 11, 10, 12, 12, 6, 6, 7, 8, 7, 7, 7, 10, 10, 12, 13, 12, 14, 14, 6, 6, 9, 10, 9, 11, 11, 11, 11, 12, 13, 11, 11, 11, 12, 13, 11, 11, 11, 12, 15, 14, 15, 14, 16, 16, 11, 11, 13, 13, 12, 13, 11, 11, 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 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 2, 1, 1, 2, 6, 6, 0, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 1, 1, 1, 1, 2, 2, 2, 0, 0, 9, 1, 2, 11, 2, 2, 2, 0, 0, 13, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 2, 9, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 1, 2, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 2, 2, 2, 2, 2, 15, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 1, 1, 1, 1, 2, 5, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 2, 11, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 5, 1, 1, 5, 5, 5, 0, 4, 4, 0, 0, 4, 4, 7, 7, 7, 7, 7, 7, 0, 0, 0, 2, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 5, 5, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 7, 2, 1, 1, 1, 4, 4, 8, 0, 0, 0, 0, 0, 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, 30, 20654, 30, 7976, 81, 465, 203, 465, 5741, 203, 465, 316, 203, 1070, 22045, 1188, 15358, 203, 1070, 5463, 371, 1188, 3973, 203, 1070, 5463, 371, 1188, 13420, 203, 1070, 5463, 371, 32, 3038, 1188, 13925, 203, 1070, 5463, 371, 32, 1567, 1188, 1692, 203, 1070, 5463, 371, 32, 2304, 32, 30122, 1188, 622, 81, 30122, 203, 1070, 5463, 371, 32, 2304, 32, 1903, 1188, 44957, 81, 23724, 30, 13316, 81, 9941, 30, 5063, 81, 1311, 203, 1070, 5463, 371, 32, 2304, 32, 9698, 1188, 6548, 203, 751, 280, 5741, 32, 10579, 463, 1903, 81, 7608, 3560, 683, 203, 21033, 40723, 280, 301, 284, 330, 14304, 950, 291, 301, 324, 330, 29706, 33, 16009, 54, 31, 68, 950, 225, 42, 30, 324, 330, 29706, 33, 106, 36, 40, 38, 950, 225, 36, 36, 30, 324, 330, 29706, 33, 74, 4788, 54, 950, 225, 41, 30, 324, 330, 16481, 33, 12714, 31, 106, 36, 40, 38, 950, 225, 36, 41, 30, 324, 330, 16481, 33, 3181, 31, 106, 36, 40, 38, 950, 225, 35, 41, 30, 324, 330, 16481, 33, 74, 4788, 54, 950, 225, 35, 35, 30, 324, 330, 26988, 33, 3429, 950, 225, 37, 30, 324, 330, 26988, 33, 4238, 37, 950, 225, 39, 30, 324, 330, 26988, 33, 66, 2231, 950, 225, 36, 34, 30, 324, 330, 26988, 33, 6614, 59, 950, 225, 36, 42, 30, 324, 330, 26988, 33, 74, 13946, 37, 40, 34, 950, 225, 36, 37, 30, 324, 330, 47406, 33, 14859, 950, 225, 35, 30, 324, 330, 1680, 74, 950, 225, 35, 38, 30, 324, 330, 32501, 950, 225, 36, 35, 291, 801, 284, 330, 3780, 7608, 950, 291, 301, 324, 330, 29706, 33, 12714, 31, 106, 36, 40, 38, 950, 225, 38, 35, 30, 324, 330, 29706, 33, 3181, 31, 106, 36, 40, 38, 950, 225, 38, 36, 30, 324, 330, 29706, 33, 74, 4788, 54, 950, 225, 38, 37, 30, 324, 330, 16481, 33, 12714, 950, 225, 38, 38, 30, 324, 330, 16481, 33, 3181, 950, 225, 38, 39, 291, 801, 284, 330, 317, 37, 33, 34, 3368, 950, 291, 301, 324, 330, 34, 14318, 33, 47406, 950, 225, 36, 30, 324, 330, 3314, 1186, 950, 225, 38, 34, 30, 324, 330, 1456, 37, 950, 225, 35, 37, 30, 324, 330, 63, 5676, 950, 225, 35, 39, 30, 291, 801, 284, 330, 8929, 950, 291, 301, 324, 330, 29706, 33, 9004, 101, 950, 225, 38, 30, 324, 330, 16481, 33, 9004, 101, 950, 225, 36, 40, 30, 324, 330, 26988, 33, 9004, 101, 950, 225, 36, 43, 30, 324, 330, 9787, 33, 9004, 101, 950, 225, 37, 41, 30, 324, 330, 17284, 33, 9004, 101, 950, 225, 37, 42, 291, 801, 284, 330, 13615, 950, 291, 301, 324, 330, 29706, 33, 16009, 54, 31, 68, 950, 225, 37, 35, 30, 324, 330, 29706, 33, 106, 36, 40, 38, 950, 225, 37, 36, 30, 324, 330, 29706, 33, 74, 4788, 54, 950, 225, 37, 34, 30, 324, 330, 16481, 33, 106, 36, 40, 38, 950, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 3, 3, 6, 6, 6, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 6, 7, 7, 5, 5, 5, 3, 3, 6, 6, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 3, 3, 6, 6, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 11, 2, 2, 2, 2, 2, 1, 1, 1, 2, 13, 2, 2, 2, 2, 1, 1, 1, 1, 2, 15, 2, 2, 2, 2, 1, 1, 1, 1, 2, 17, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 19, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 21, 2, 2, 2, 2, 2, 1, 1, 1, 2, 23, 2, 2, 2, 2, 1, 1, 2, 25, 2, 2, 2, 2, 2, 1, 2, 27, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 5, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 5, 2, 2, 2, 2, 2, 1, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 7, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 2, 1, 2, 9, 9, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 7 ]
[ 1070, 1673, 2304, 32, 1648, 1188, 498, 4760, 2062, 203, 1070, 281, 4072, 1356, 32, 1251, 1188, 4004, 3732, 924, 203, 1070, 343, 858, 1188, 2108, 265, 203, 1070, 594, 7773, 2304, 1188, 4871, 81, 92, 7773, 81, 11753, 203, 1070, 8684, 1188, 8967, 81, 11879, 30, 4558, 203, 50, 8119, 463, 37, 32, 40, 683, 203, 823, 2108, 60, 11737, 2681, 26, 18587, 711, 284, 477, 3737, 81, 11879, 26, 11879, 81, 1855, 1057, 858, 370, 4511, 594, 9112, 81, 965, 1057, 641, 555, 4476, 32, 2104, 32, 1088, 33, 20661, 33, 14304, 33, 53, 3302, 3349, 12233, 31, 35, 35, 41, 37, 34, 370, 4511, 43171, 47, 2700, 30, 10173, 1057, 5910, 683, 284, 665, 6550, 81, 2393, 81, 858, 26, 784, 711, 291, 630, 32, 9266, 346, 291, 428, 1251, 79, 280, 630, 32, 5176, 32, 1251, 668, 346, 291, 1541, 32, 1251, 3732, 12605, 103, 281, 18867, 429, 9734, 281, 18867, 2287, 683, 291, 3523, 280, 630, 32, 16981, 81, 47731, 81, 3841, 26, 1251, 30, 1256, 1057, 35329, 370, 3882, 1057, 35329, 683, 291, 3523, 32, 4526, 440, 6037, 47686, 594, 7773, 81, 496, 8848, 48466, 47, 1870, 3114, 44507, 1057, 37, 36, 35, 35285, 32147, 291, 3523, 32, 4526, 440, 45384, 10246, 5701, 488, 4657, 927, 330, 1088, 32, 2104, 32, 35329, 32, 1299, 44, 681, 47, 7961, 14329, 25, 2823, 594, 7773, 81, 496, 657, 291, 3523, 32, 4526, 440, 45384, 12039, 3754, 45980, 5701, 11865, 488, 4657, 42221, 2823, 594, 7773, 81, 496, 657, 291, 3523, 32, 4526, 440, 6037, 47686, 894, 8848, 48466, 47, 1508, 461, 44507, 1057, 8183, 35, 36, 37, 32147, 291, 623, 630, 32, 23895, 29583, 26, 1212, 3732, 924, 30, 630, 32, 11753, 81, 5066, 81, 1436, 26, 1251, 30, 330, 3371, 496, 41095, 324, 1541, 32, 1251, 3732, 12605, 103, 6658, 496, 429, 9734, 20717, 35, 36, 37, 1983, 36168, 1338, 683, 291, 623, 630, 32, 23895, 29583, 26, 1212, 3732, 924, 30, 630, 32, 11753, 81, 5066, 81, 1436, 26, 1251, 30, 330, 858, 41095, 324, 1541, 32, 1251, 3732, 12605, 103, 894, 429, 9734, 6658, 2895, 1983, 36168, 1338, 683, 291, 623, 630, 32, 23895, 29583, 26, 1212, 3732, 924, 30, 313, 5413, 1202, 330, 699, 25, 438, 5816, 10280, 324, 1541, 32, 1251, 3732, 463, 1704, 36168, 1338, 683, 291, 623, 630, 32, 23895, 29583, 26, 1212, 3732, 924, 30, 330, 92, 7773, 81, 496, 438, 646, 15010, 372, 1245, 328, 7831, 324, 1541, 32, 1251, 3732, 12605, 103, 594, 7773, 81, 496, 429, 9734, 225, 37, 36, 35, 35285, 1983, 36168, 1338, 683, 291, 623, 630, 32, 23895, 29583, 26, 1212, 3732, 924, 30, 330, 2791, 22768, 4833, 7831, 324, 1541, 32, 1251, 3732, 12605, 103, 894, 429, 9734, 20717, 35, 36, 37, 1983, 36168, 1338, 683, 291, 3523, 32, 4526, 440, 45384, 594, 7773, 81, 496, 2823, 894, 657, 291, 1541, 32, 1251, 3732, 12605, 103, 894, 429, 9734, 20717, 35, 36, 37, 1983, 36168, 1338, 683, 291, 1541, 32, 1251, 3732, 12605, 103, 281, 18867, 429, 9734, 281, 18867, 1983, 36168, 1338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 0, 2, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 7, 7, 7, 7, 9, 9, 9, 8, 10, 10, 7, 7, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 9, 7, 7, 8, 10, 10, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 10, 9, 6, 6, 10, 9, 8, 8, 11, 12, 10, 11, 11, 10, 6, 6, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 10, 10, 11, 13, 13, 10, 11, 13, 13, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 7, 11, 12, 12, 11, 12, 12, 12, 11, 11, 13, 14, 14, 14, 14, 14, 13, 14, 13, 13, 15, 15, 15, 7, 7, 11, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 11, 12, 12, 11, 12, 12, 12, 11, 11, 13, 14, 14, 14, 14, 14, 13, 14, 13, 13, 15, 15, 7, 7, 11, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 11, 12, 12, 11, 12, 12, 12, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 7, 7, 11, 12, 12, 11, 13, 13, 13, 13, 6, 6, 7, 11, 12, 12, 11, 12, 12, 12, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 7, 7, 11, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 11, 12, 12, 11, 12, 12, 12, 11, 11, 13, 13, 13, 13, 7, 7, 11, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 3, 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, 5, 2, 1, 1, 7, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 4, 4, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 2, 1, 5, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 8, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 9, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 9, 9, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 10, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 10, 10, 0, 2, 2, 1, 1, 1, 1, 2, 4, 4, 11, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 11, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 12, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 12, 12, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 11412, 203, 465, 2322, 203, 465, 14785, 32, 8524, 32, 104, 36, 619, 5239, 203, 465, 14785, 81, 15183, 32, 923, 81, 1237, 619, 273, 30756, 203, 81, 24264, 81, 11238, 280, 313, 14123, 555, 1729, 32, 42121, 32, 7589, 33, 1729, 33, 4126, 1843, 33, 47664, 19280, 81, 14072, 81, 14200, 32, 3969, 20, 203, 81, 43271, 10995, 280, 301, 102, 30756, 32, 7334, 32, 30489, 44, 313, 55, 26552, 81, 3239, 392, 273, 30756, 32, 7334, 32, 3765, 44, 313, 55, 26552, 81, 858, 3612, 203, 81, 34869, 81, 36850, 280, 428, 284, 313, 41609, 5858, 392, 313, 17065, 13246, 392, 313, 380, 1998, 392, 313, 24280, 81, 25830, 392, 313, 20331, 392, 313, 18088, 5531, 392, 313, 38685, 392, 284, 313, 95, 888, 392, 313, 762, 1919, 392, 313, 270, 368, 1180, 392, 313, 1274, 392, 313, 452, 1694, 20, 203, 79, 203, 81, 53, 780, 2893, 280, 1524, 78, 203, 50, 33143, 109, 16194, 36, 34, 35, 40, 8327, 30, 203, 4081, 264, 280, 301, 21797, 30, 677, 21676, 23847, 461, 1593, 45355, 30, 1410, 103, 461, 21004, 17691, 3795, 30, 6661, 88, 13732, 461, 358, 453, 586, 277, 30, 19137, 38496, 835, 203, 1780, 262, 280, 301, 11563, 20762, 14292, 4729, 45505, 318, 10791, 4033, 8560, 21968, 2414, 835, 203, 7618, 1311, 280, 301, 29178, 23381, 544, 17853, 35546, 461, 13409, 38194, 308, 8155, 2978, 11918, 203, 4947, 647, 280, 301, 36, 34, 35, 40, 111, 203, 111, 203, 2993, 203, 823, 41765, 19280, 14072, 14200, 26, 102, 30756, 32, 1262, 32, 4815, 10332, 1796, 711, 334, 20418, 280, 273, 30756, 32, 1262, 32, 2062, 440, 35, 32, 34, 32, 34, 657, 334, 665, 617, 1338, 26, 784, 711, 284, 442, 273, 30756, 32, 1262, 32, 9395, 1120, 26, 291, 3048, 47, 440, 47664, 19280, 21083, 24200, 19104, 2113, 291, 4906, 47, 784, 30, 291, 281, 9982, 11645, 53, 780, 2893, 30, 291, 25060, 347, 525, 555, 4126, 1843, 32, 42121, 32, 7589, 33, 7297, 33, 23957, 318, 81, 1167, 10590, 291, 5359, 47, 102, 30756, 32, 5905, 32, 9554, 7167, 1371, 324, 313, 823, 81, 314, 563, 400, 273, 30756, 32, 5905, 32, 1339, 2168, 26, 1516, 81, 4820, 47, 36, 36, 40, 37, 38, 471, 324, 313, 5266, 81, 823, 81, 314, 33, 1516, 563, 400, 273, 30756, 32, 5905, 32, 1339, 2168, 26, 1516, 81, 4820, 47, 1657, 2176, 34869, 81, 36850, 3662, 324, 313, 5266, 81, 823, 81, 314, 563, 400, 273, 30756, 32, 5905, 32, 1339, 2168, 26, 4243, 11645, 34869, 81, 36850, 471, 324, 313, 893, 563, 400, 273, 30756, 32, 5905, 32, 1658, 346, 291, 16586, 334, 665, 617, 2998, 81, 28295, 26, 784, 30, 20927, 81, 4018, 711, 284, 20927, 81, 983, 280, 20927, 81, 4018, 32, 4984, 81, 363, 81, 8281, 2176, 24264, 81, 11238, 27, 284, 4844, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 3657, 81, 983, 30, 313, 47664, 19280, 81, 14072, 81, 14200, 657, 284, 442, 428, 16189, 273, 30756, 32, 1262, 32, 7334, 4815, 26, 324, 636, 47, 93, 30, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 0, 1, 1, 4, 4, 3, 4, 4, 4, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 7, 7, 6, 7, 5, 6, 4, 4, 6, 6, 6, 6, 6, 3, 7, 6, 7, 5, 6, 4, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 5, 5, 4, 5, 3, 4, 4, 4, 2, 1, 1, 4, 4, 8, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 8, 9, 7, 8, 8, 7, 7, 7, 8, 9, 11, 11, 11, 11, 11, 11, 7, 7, 8, 9, 7, 7, 7, 9, 8, 9, 9, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 12, 12, 11, 12, 10, 11, 11, 10, 11, 11, 14, 14, 14, 14, 12, 12, 16, 15, 16, 14, 15, 15, 14, 16, 16, 16, 15, 16, 16, 16, 16, 16, 14, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 16, 15, 16, 14, 15, 15, 14, 16, 16, 16, 15, 17, 17, 18, 18, 18, 17, 11, 11, 14, 14, 14, 14, 14, 14, 12, 12, 16, 15, 16, 14, 15, 15, 14, 16, 15, 16, 16, 16, 14, 11, 11, 14, 14, 12, 12, 16, 15, 16, 14, 15, 14, 11, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 6, 10, 9, 10, 8, 9, 9, 8, 8, 8, 9, 10, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 4, 4, 1, 1, 0, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 3, 3, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8, 8, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 8, 8, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 5, 2, 2, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 7, 7, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 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, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 308, 15377, 81, 25661, 30, 34380, 30, 20654, 30, 7976, 81, 465, 30, 623, 81, 9849, 30, 715, 1459, 81, 1126, 30, 15390, 81, 30839, 27, 203, 1070, 42406, 1188, 9637, 35, 203, 823, 28648, 1176, 16379, 12421, 924, 26, 984, 711, 3097, 203, 823, 28648, 42169, 924, 26, 984, 711, 3097, 203, 823, 28648, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 630, 1114, 4151, 280, 2149, 284, 630, 1114, 30480, 280, 3177, 284, 630, 1114, 37015, 81, 19118, 81, 1110, 280, 2149, 334, 665, 34777, 26, 784, 711, 284, 630, 1114, 30480, 280, 2933, 334, 665, 622, 81, 1495, 26, 784, 30, 1202, 30, 1244, 47, 2521, 711, 284, 442, 630, 1114, 4151, 32, 371, 26, 678, 30, 1244, 27, 334, 665, 622, 81, 1495, 81, 853, 26, 784, 30, 1202, 30, 1244, 47, 2521, 711, 284, 415, 1202, 328, 630, 1114, 4151, 44, 397, 5797, 81, 1495, 280, 630, 1114, 4151, 77, 678, 79, 397, 415, 5797, 81, 1495, 44, 291, 442, 5797, 81, 1495, 32, 853, 284, 442, 1244, 334, 665, 1015, 81, 4151, 26, 784, 30, 1600, 81, 2665, 711, 284, 436, 1202, 30, 1600, 328, 1600, 81, 2665, 32, 3028, 2262, 397, 630, 32, 669, 81, 1495, 26, 678, 30, 1600, 27, 334, 665, 1015, 81, 1495, 26, 784, 30, 1202, 30, 1600, 711, 284, 415, 1202, 328, 630, 1114, 4151, 44, 397, 3636, 28648, 1176, 16379, 12421, 924, 26, 291, 330, 953, 301, 678, 111, 438, 3425, 739, 544, 458, 5797, 32, 886, 4905, 1600, 1597, 301, 12724, 81, 1495, 4009, 25, 291, 330, 394, 14051, 372, 739, 537, 1600, 301, 1495, 4009, 25, 291, 638, 1643, 26, 678, 47, 678, 30, 4905, 81, 1495, 47, 784, 1114, 4151, 77, 678, 614, 1600, 47, 1495, 490, 284, 4348, 630, 1114, 30480, 44, 397, 3636, 28648, 42169, 924, 26, 291, 330, 7935, 438, 20073, 30, 1600, 623, 1202, 301, 678, 111, 4881, 526, 3640, 372, 561, 4564, 291, 638, 1643, 26, 678, 47, 678, 490, 284, 813, 44, 397, 630, 1114, 4151, 77, 678, 79, 280, 1600, 397, 630, 1114, 37015, 81, 19118, 280, 1665, 334, 665, 30304, 26, 784, 30, 1600, 81, 3494, 47, 2521, 711, 284, 1600, 81, 3494, 280, 20073, 470, 26, 1495, 81, 3494, 556, 630, 1114, 4151, 32, 3494, 1157, 284, 415, 1600, 81, 3494, 646, 328, 630, 1114, 37015, 81, 19118, 81, 1110, 44, 397, 630, 1114, 37015, 81, 19118, 81, 1110, 77, 1495, 81, 3494, 79, 280, 630, 1114, 7924, 81, 37015, 26, 1495, 81, 3494, 27, 284, 442, 630, 1114, 37015, 81, 19118, 81, 1110, 77, 1495, 81, 3494, 79, 334, 665, 617, 7924, 81, 37015, 26, 784, 30, 1600, 81, 3494, 711, 284, 3677, 265, 280, 9637, 35, 346, 284, 3502, 81, 2888, 280, 2933, 284, 436, 1202, 328, 8594, 26, 1495, 81, 3494, 711, 397, 1600, 280, 630, 1114, 4151, 77, 678, 79, 397, 415, 1600, 438, 646, 1665, 44, 291, 11828, 280, 1600, 32, 37015, 346, 291, 415, 11828, 438, 646, 1665, 44, 616, 3502, 81, 2888 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 7, 8, 5, 5, 5, 9, 9, 8, 8, 10, 11, 9, 10, 9, 6, 6, 7, 8, 8, 7, 7, 7, 9, 11, 11, 10, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 5, 5, 8, 8, 7, 8, 7, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 5, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 14, 14, 14, 14, 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, 11, 11, 12, 11, 13, 12, 13, 11, 11, 13, 13, 12, 15, 14, 15, 13, 14, 13, 11, 12, 13, 11, 5, 5, 6, 7, 8, 6, 6, 6, 8, 10, 10, 10, 10, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 12, 14, 13, 14, 12, 5, 5, 6, 6, 6, 11, 12, 10, 11, 10, 9, 9, 7, 7, 10, 11, 11, 11, 9, 9, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 6, 6, 8, 8, 10, 10, 10, 9, 9, 12, 13, 11, 12, 11, 4, 4, 5, 7, 7, 6, 6, 6, 7, 8, 8, 8, 8, 8, 5, 5, 5, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 9, 8, 8, 10, 11, 11, 11, 10, 11, 11, 11, 10, 4, 4, 5, 7, 8, 8, 8, 8, 8, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 6, 6, 8, 8, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 8, 8, 7, 5, 5, 8, 8, 10, 11, 9, 10, 9, 6, 6, 7, 8, 8, 8, 7, 7, 7, 10, 10, 12, 13, 12, 8, 8, 9, 10, 10, 10, 9, 9, 9, 13, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 3, 3, 1, 1, 2, 1, 2, 3, 0, 4, 4, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 3, 3, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 4, 4, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 2, 1, 5, 2, 1, 0, 0, 4, 1, 2, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 5, 5, 5, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 6, 2, 1, 2, 2, 0, 0, 3, 2, 2, 6, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 4, 4, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 7, 7, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ 465, 5167, 203, 465, 21196, 203, 465, 2322, 203, 465, 7138, 203, 465, 16539, 203, 505, 2116, 505, 280, 330, 60, 3281, 1410, 3355, 25, 203, 589, 4705, 81, 7490, 2262, 284, 1245, 280, 313, 8288, 20, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 751, 711, 291, 2322, 32, 27428, 26, 751, 27, 284, 2340, 280, 7138, 32, 6665, 32, 2174, 346, 284, 1245, 81, 761, 81, 426, 280, 313, 8288, 5681, 474, 2340, 32, 20834, 15339, 75, 9299, 95, 9299, 86, 683, 474, 4939, 751, 20, 284, 442, 2156, 26, 751, 81, 761, 81, 426, 30, 330, 105, 683, 203, 589, 4450, 81, 11688, 81, 20680, 26, 751, 81, 761, 711, 284, 1245, 81, 761, 32, 1821, 440, 62, 5231, 11294, 16836, 15386, 44, 15154, 78, 96, 657, 284, 2248, 81, 2501, 280, 428, 291, 313, 3474, 392, 313, 36, 20, 284, 1481, 284, 20465, 11294, 81, 2501, 280, 428, 291, 5587, 14762, 11294, 31, 2837, 392, 7915, 1163, 392, 2430, 6698, 33, 14762, 11294, 33, 4538, 32, 5930, 392, 7915, 36872, 31, 10369, 392, 313, 6989, 2585, 20, 284, 1481, 284, 20465, 11294, 81, 2024, 280, 3330, 284, 1596, 44, 291, 2248, 81, 2024, 280, 16539, 32, 45606, 26, 3474, 81, 2501, 30, 12532, 47, 27958, 32, 18165, 30, 16154, 47, 27958, 32, 18165, 27, 291, 20465, 11294, 81, 2024, 81, 1294, 280, 16539, 32, 1553, 81, 2024, 26, 14762, 11294, 81, 2501, 30, 24621, 47, 3474, 81, 2024, 32, 9362, 30, 24390, 347, 1832, 657, 291, 2248, 81, 2024, 32, 9362, 32, 2679, 346, 291, 20465, 11294, 81, 2024, 280, 3519, 26, 14762, 11294, 81, 2024, 81, 1294, 547, 5460, 346, 284, 2940, 16539, 32, 9402, 2861, 924, 44, 291, 1245, 81, 761, 32, 1821, 440, 924, 44, 17049, 372, 4450, 322, 16836, 10282, 32, 43188, 600, 4096, 372, 322, 38543, 7144, 291, 4096, 81, 18632, 26, 2700, 30, 1245, 81, 761, 27, 284, 1245, 81, 761, 32, 1821, 26, 14762, 11294, 81, 2024, 27, 284, 1245, 81, 761, 32, 1821, 440, 15174, 25202, 7504, 4723, 436, 458, 6811, 5327, 96, 28149, 9196, 4096, 372, 38543, 5327, 96, 657, 284, 4096, 81, 18632, 26, 1815, 30, 1245, 81, 761, 27, 284, 442, 203, 589, 4096, 81, 18632, 26, 3127, 30, 1245, 81, 761, 711, 284, 415, 3117, 44, 291, 1474, 280, 313, 62, 5231, 11294, 1401, 7504, 4723, 16836, 25202, 436, 458, 6811, 3107, 291, 5383, 280, 313, 62, 5231, 11294, 44, 12633, 20, 284, 813, 44, 291, 1474, 280, 313, 924, 44, 20465, 11294, 1401, 1420, 1991, 600, 1048, 5929, 16836, 10282, 11745, 32, 313, 766, 1750, 313, 32843, 4322, 1505, 322, 2145, 3107, 291, 5383, 280, 313, 62, 5231, 11294, 44, 12228, 20, 284, 5167, 32, 1526, 26, 291, 313, 641, 555, 1237, 32, 2200, 14474, 32, 1299, 33, 104, 37, 33, 1990, 514, 9391, 32, 5562, 85, 33, 6286, 392, 291, 3796, 47, 440, 1237, 392, 21196, 32, 1237, 81, 678, 471, 291, 706, 7814, 1070, 563, 313, 28984, 8335, 38614, 624, 107, 16970, 34319, 1058, 611, 333, 28984, 8335, 50, 1990, 514, 9391 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 6, 3, 3, 7, 8, 7, 8, 7, 2, 2, 4, 4, 7, 8, 6, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 5, 5, 7, 7, 2, 2, 3, 5, 6, 6, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 6, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 2, 2, 5, 5, 4, 4, 5, 5, 7, 7, 5, 7, 7, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 5, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 11, 10, 11, 8, 8, 9, 11, 10, 11, 8, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 9, 8, 8, 9, 11, 11, 11, 10, 11, 8, 8, 9, 11, 11, 4, 4, 9, 9, 8, 9, 7, 8, 7, 4, 4, 7, 7, 7, 6, 6, 10, 11, 11, 11, 11, 11, 11, 10, 9, 8, 3, 3, 4, 5, 6, 6, 6, 4, 4, 4, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 9, 8, 8, 9, 9, 8, 2, 2, 6, 6, 5, 6, 5, 6, 6, 6, 6, 5, 2, 2, 6, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 7, 2, 2, 5, 5, 5, 6, 5, 5, 6, 6, 5, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 4, 4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 7, 9, 9, 7, 8, 9, 9, 9, 7, 5, 5, 6, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 1, 2, 4, 4, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 5, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 1, 1, 5, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 3, 1, 2, 2, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 8, 8, 1, 1, 2, 1, 2, 2, 3, 3, 2, 8, 8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 5, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 1695, 40, 38, 203, 465, 19493, 203, 465, 42406, 203, 465, 2361, 203, 465, 2322, 203, 465, 22977, 203, 465, 29590, 619, 5237, 81, 1433, 761, 203, 465, 15798, 203, 1070, 8527, 32, 1262, 32, 2536, 1188, 1779, 619, 29590, 203, 1070, 8527, 32, 1262, 32, 2536, 32, 30939, 761, 1188, 7155, 32945, 974, 203, 1070, 8527, 32, 525, 32, 6844, 568, 491, 282, 509, 1188, 10473, 2639, 2825, 203, 1070, 8527, 32, 858, 1188, 19205, 30, 2043, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 2684, 81, 3550, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 3651, 203, 1070, 8527, 32, 2304, 32, 25931, 1188, 44524, 203, 1070, 638, 1188, 7623, 4531, 203, 1070, 638, 3378, 1188, 2032, 1243, 203, 29978, 81, 18829, 280, 330, 858, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 81, 35994, 81, 1527, 21453, 693, 32, 3072, 25, 203, 21512, 81, 7789, 280, 5237, 81, 1433, 761, 32, 4765, 86, 1433, 346, 203, 33751, 81, 1407, 280, 2322, 32, 983, 32, 2524, 26, 21512, 81, 7789, 30, 330, 858, 81, 4462, 683, 203, 50, 7106, 81, 3550, 26, 21512, 81, 7789, 47, 21512, 81, 7789, 27, 203, 823, 2032, 7845, 4470, 26, 7233, 711, 284, 477, 17614, 284, 665, 14553, 1339, 26, 6933, 711, 291, 415, 646, 2322, 32, 983, 32, 34103, 26, 21512, 81, 7789, 711, 324, 2322, 32, 27428, 26, 21512, 81, 7789, 27, 284, 477, 17614, 284, 665, 28921, 1339, 26, 6933, 711, 291, 22977, 32, 100, 41718, 26, 21512, 81, 7789, 27, 284, 665, 894, 81, 6656, 81, 4462, 26, 784, 711, 291, 623, 2156, 4064, 761, 7642, 330, 4506, 683, 619, 11828, 44, 324, 2364, 81, 605, 280, 301, 400, 330, 426, 950, 330, 16837, 97, 370, 400, 330, 761, 81, 1495, 950, 11828, 30, 324, 320, 324, 1789, 280, 630, 32, 1580, 32, 1526, 3247, 761, 81, 11255, 33, 4462, 13093, 2364, 81, 605, 27, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 36, 34, 34, 27, 284, 665, 894, 81, 9365, 81, 4462, 26, 784, 711, 291, 273, 1515, 280, 29590, 32, 371, 1433, 1515, 346, 291, 803, 35, 280, 29590, 32, 11049, 24723, 974, 26, 12420, 26328, 761, 35, 392, 4921, 47, 671, 476, 27, 291, 803, 35, 32, 1821, 26, 84, 25, 83, 25, 319, 308, 36, 1115, 225, 36, 35, 490, 291, 803, 35, 32, 14408, 26, 34, 27, 291, 803, 36, 280, 29590, 32, 11049, 24723, 974, 26, 12420, 26328, 761, 36, 392, 4921, 47, 671, 476, 27, 291, 803, 36, 32, 1821, 26, 84, 25, 83, 25, 319, 308, 35, 34, 319, 225, 36, 1115, 225, 36, 34, 490, 291, 803, 36, 32, 14408, 26, 34, 27, 291, 2364, 81, 605, 280, 301, 324, 330, 426, 950, 330, 16837, 97, 370, 324, 330, 761, 81, 1495, 35, 950, 803, 35, 30, 324, 330, 761, 81, 1495, 36, 950, 803, 36, 30, 324, 320, 291, 436, 1202, 328, 1149, 26, 1526, 81, 605, 711, 324, 1596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 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, 0, 1, 1, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 3, 3, 4, 4, 2, 2, 6, 6, 4, 6, 6, 6, 6, 7, 5, 5, 7, 8, 8, 11, 12, 11, 11, 11, 11, 11, 11, 7, 7, 7, 12, 12, 12, 12, 12, 12, 11, 3, 6, 6, 4, 6, 6, 6, 6, 7, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 3, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 6, 11, 12, 12, 12, 11, 13, 13, 9, 9, 6, 6, 10, 10, 10, 10, 10, 10, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 13, 11, 10, 10, 7, 10, 10, 9, 13, 13, 13, 11, 12, 13, 13, 13, 13, 13, 13, 11, 12, 12, 12, 5, 5, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 3, 4, 5, 5, 5, 5, 5, 5, 6, 4, 4, 4, 8, 10, 10, 10, 10, 10, 10, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12, 9, 9, 11, 10, 11, 5, 5, 9, 9, 9, 9, 9, 9, 9, 8, 11, 11, 9, 10, 12, 11, 11, 11, 5, 5, 9, 9, 8, 9, 9, 9, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12, 9, 9, 11, 10, 11, 5, 5, 9, 9, 9, 9, 9, 9, 9, 8, 11, 11, 9, 9, 10, 12, 12, 11, 13, 12, 12, 12, 5, 5, 9, 9, 8, 9, 9, 9, 5, 5, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 11, 9, 10, 10, 8, 8, 11, 11, 11, 11, 11, 9, 10, 10, 8, 8, 5, 5, 6, 7, 6, 8, 8, 9, 9, 9, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 1, 2, 2, 2, 0, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 3, 3, 0, 10, 10, 1, 2, 1, 4, 1, 6, 6, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 4, 4, 4, 4, 11, 11, 0, 0, 0, 12, 12, 1, 2, 12, 12, 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, 15, 15, 1, 2, 1, 4, 15, 15, 0, 16, 16, 16, 16, 0, 0, 17, 17, 0, 17, 17, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 3, 2, 2, 3, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 3, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 3, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 3, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 0, 1, 1, 1, 1, 5, 2, 2, 2, 2, 4, 4, 8, 1, 8, 0, 1, 1, 1, 1, 8 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 16539, 1188, 447, 1676, 30, 21925, 1304, 203, 465, 5237, 30, 622, 2215, 203, 465, 12460, 203, 465, 1133, 203, 465, 29590, 203, 465, 2322, 203, 465, 16539, 203, 465, 1671, 203, 465, 7395, 14510, 203, 465, 27374, 203, 1270, 44, 284, 1188, 17281, 284, 1159, 81, 15260, 280, 2933, 203, 7343, 29986, 44, 284, 1159, 81, 15260, 280, 3177, 203, 1270, 44, 284, 645, 31067, 6949, 1188, 16766, 10226, 284, 1159, 81, 6949, 81, 3592, 280, 2933, 203, 7343, 29986, 44, 284, 1159, 81, 6949, 81, 3592, 280, 3177, 203, 4530, 81, 5203, 280, 313, 36, 32, 35, 20, 203, 32985, 1218, 280, 225, 39, 203, 5177, 37, 280, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 34, 27, 203, 1270, 44, 284, 1188, 4551, 203, 7343, 29986, 44, 284, 1459, 44805, 7171, 322, 4865, 4551, 4253, 2473, 1643, 26, 3731, 32, 6118, 77, 34, 5259, 284, 1459, 463, 6574, 2443, 561, 623, 1591, 432, 322, 2412, 28601, 284, 1459, 25416, 284, 415, 19430, 37, 44, 291, 1459, 463, 261, 16513, 44, 225, 12798, 9702, 31, 371, 2443, 4262, 37, 31, 3542, 683, 291, 1459, 463, 261, 9489, 44, 262, 12798, 2601, 2443, 3619, 37, 38, 31, 3542, 683, 284, 813, 44, 291, 1459, 463, 261, 16513, 44, 225, 12798, 9702, 31, 371, 2443, 4262, 31, 3542, 683, 291, 1459, 463, 261, 9489, 44, 262, 12798, 2601, 2443, 3619, 31, 3542, 683, 284, 5237, 32, 4775, 26, 35, 27, 203, 589, 345, 2811, 26, 2649, 30, 1474, 30, 5601, 34155, 96, 7831, 284, 415, 1910, 2284, 1218, 2377, 3193, 44, 291, 1459, 26, 1436, 30, 943, 47, 2437, 30, 803, 47, 3731, 32, 8228, 27, 203, 32005, 81, 779, 81, 2378, 69, 280, 301, 34, 2458, 43, 40, 38, 44, 330, 2201, 36, 39, 37, 42, 6040, 203, 10934, 81, 8185, 81, 2378, 69, 280, 225, 301, 34, 106, 38, 34, 44, 330, 4411, 370, 3486, 34, 106, 38, 35, 44, 330, 5842, 2016, 370, 3486, 34, 106, 38, 36, 44, 330, 3817, 2016, 370, 3486, 34, 106, 38, 37, 44, 330, 3817, 2965, 370, 3486, 34, 106, 38, 38, 44, 330, 15313, 3547, 25, 528, 320, 203, 12252, 81, 8548, 81, 6685, 280, 225, 34, 106, 38, 34, 203, 12252, 81, 8548, 81, 14174, 81, 8185, 280, 225, 34, 106, 38, 35, 203, 12252, 81, 8548, 81, 8606, 81, 8185, 280, 225, 34, 106, 38, 36, 203, 12252, 81, 8548, 81, 8606, 81, 48069, 280, 225, 34, 106, 38, 37, 203, 12252, 81, 8548, 81, 30720, 81, 8534, 280, 225, 34, 106, 38, 38, 203, 823, 20758, 984, 26, 984, 711, 284, 3097, 203, 823, 506, 14523, 974, 26, 1473, 711, 284, 46765, 81, 3539, 81, 19814, 69, 280, 2726, 6949, 370, 330, 91, 8789, 370, 330, 91, 6949, 683, 284, 665, 1156, 1664, 3207, 784, 30, 1519, 711, 291, 630, 1114, 19538, 37, 36, 280, 1665, 291, 25473, 81, 297, 81, 6949, 280, 3177, 291, 415, 1159, 81, 15260, 44, 324, 803, 81, 681, 280, 3432, 955, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 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, 1, 1, 3, 2, 2, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 5, 5, 0, 1, 1, 1, 1, 3, 5, 3, 3, 5, 2, 2, 5, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 4, 5, 5, 5, 3, 3, 5, 4, 5, 4, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 6, 10, 10, 10, 10, 10, 10, 9, 8, 11, 10, 11, 9, 10, 9, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 3, 3, 4, 5, 4, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 5, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 6, 7, 6, 7, 6, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 3, 6, 5, 1, 1, 3, 5, 5, 4, 4, 3, 3, 3, 7, 8, 7, 7, 8, 9, 7, 7, 8, 10, 9, 10, 7, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 3, 5, 5, 5, 5, 4, 4, 6, 6, 6, 3, 5, 5, 5, 5, 4, 4, 6, 6, 6, 3, 5, 5, 5, 5, 4, 4, 6, 6, 6, 3, 5, 5, 5, 5, 4, 4, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 10, 10, 0, 11, 11, 11, 11, 0, 2, 2, 0, 0, 0, 0, 11, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 12, 12, 12, 12, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 12, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 3, 2, 0, 16, 16, 16, 16, 0, 16, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 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, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 4, 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, 3, 3, 0, 2, 1, 1, 1, 0, 17, 17, 1, 2, 1, 2, 2, 2, 2, 5, 0, 2, 17, 17, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 2, 2, 0, 0, 0, 0, 5, 5, 1, 1, 2, 2, 0, 0, 0, 0, 7, 7, 1, 1, 2, 2, 0, 0, 0, 0, 9, 9, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 25, 25, 1, 2, 1, 2, 25, 25, 0, 26, 26, 1, 1, 2, 1, 2, 26, 26, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1 ]
[ 1070, 32774, 305, 339, 716, 1188, 2914, 30, 2914, 81, 18986, 30, 9058, 203, 465, 6436, 203, 465, 1133, 203, 823, 1015, 81, 486, 26, 771, 32, 5207, 81, 1521, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2914, 32, 5207, 81, 1521, 3667, 1664, 3207, 324, 630, 30, 324, 636, 280, 313, 669, 81, 486, 392, 324, 328, 81, 4994, 280, 428, 10337, 32, 1808, 37, 36, 30, 6436, 32, 1808, 37, 36, 614, 324, 963, 81, 4994, 280, 428, 10337, 32, 1808, 37, 36, 614, 291, 829, 284, 665, 1389, 26, 784, 30, 1509, 81, 3028, 30, 1688, 81, 3028, 711, 291, 1688, 81, 3028, 77, 34, 1674, 10056, 280, 1509, 81, 3028, 77, 34, 79, 474, 1509, 81, 3028, 77, 35, 79, 291, 442, 2069, 26, 2024, 81, 3028, 77, 34, 1130, 203, 823, 22213, 81, 913, 81, 486, 26, 771, 32, 5207, 81, 1521, 711, 284, 665, 1156, 1664, 3207, 784, 30, 831, 711, 291, 2914, 32, 5207, 81, 1521, 3667, 1664, 3207, 324, 630, 30, 324, 636, 280, 313, 20123, 81, 486, 392, 324, 328, 81, 4994, 280, 428, 10337, 32, 1808, 37, 36, 614, 324, 963, 81, 4994, 280, 428, 10337, 32, 1808, 37, 36, 614, 291, 829, 291, 630, 32, 93, 280, 831, 284, 665, 1389, 26, 784, 30, 1509, 81, 3028, 30, 1688, 81, 3028, 711, 291, 1688, 81, 3028, 77, 34, 1674, 10056, 280, 1992, 26, 5962, 816, 44, 630, 32, 93, 28, 106, 30, 1509, 81, 3028, 77, 34, 1130, 291, 442, 2069, 26, 2024, 81, 3028, 77, 34, 1130, 203, 823, 894, 81, 90, 2487, 81, 1521, 36, 26, 771, 81, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 203, 202, 4617, 284, 665, 28921, 26, 784, 711, 275, 202, 4617, 284, 665, 894, 81, 34, 34, 35, 81, 2682, 26, 784, 711, 203, 202, 90, 1521, 280, 2914, 32, 90, 2487, 81, 1521, 36, 440, 858, 81, 1521, 392, 603, 202, 771, 32, 716, 81, 9569, 26, 35, 30, 35, 30, 771, 32, 7545, 81, 410, 471, 603, 202, 771, 32, 716, 81, 9569, 26, 35, 30, 35, 30, 771, 32, 7545, 81, 410, 490, 203, 202, 784, 32, 5299, 440, 858, 81, 1521, 392, 420, 1521, 32, 426, 1157, 203, 202, 784, 32, 5299, 26, 35, 30, 420, 1521, 32, 1131, 81, 9569, 922, 1449, 81, 15189, 1157, 203, 202, 784, 32, 5299, 26, 35, 30, 420, 1521, 32, 2024, 81, 9569, 922, 887, 81, 15189, 1157, 203, 202, 784, 32, 5299, 26, 35, 30, 420, 1521, 32, 2024, 81, 9569, 922, 1449, 81, 15189, 1157, 203, 202, 784, 32, 5299, 26, 771, 32, 7545, 81, 410, 30, 420, 1521, 32, 2024, 81, 9569, 922, 7545, 81, 2238, 81, 1094, 26, 34, 490, 284, 665, 894, 81, 34, 34, 36, 81, 3517, 81, 1131, 26, 784, 711, 203, 202, 90, 1521, 280, 2914, 32, 90, 2487, 81, 1521, 36, 440, 858, 81, 1521, 392, 603, 202, 771, 32, 716, 81, 9569, 26, 35, 30, 35, 30, 771, 32, 7545, 81, 410, 471, 603, 202, 771, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 7, 7, 7, 7, 7, 8, 8, 10, 10, 10, 10, 7, 7, 9, 9, 8, 8, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 7, 7, 9, 9, 8, 8, 11, 10, 11, 11, 11, 9, 7, 7, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 9, 9, 8, 9, 8, 8, 6, 6, 9, 9, 8, 9, 8, 7, 7, 9, 9, 8, 9, 8, 4, 4, 5, 7, 9, 9, 9, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 7, 7, 7, 7, 7, 8, 8, 10, 10, 10, 10, 7, 7, 9, 9, 8, 8, 11, 10, 11, 11, 11, 9, 7, 7, 9, 9, 8, 8, 11, 10, 11, 11, 11, 9, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 9, 9, 8, 9, 8, 8, 6, 6, 8, 9, 9, 9, 9, 11, 12, 10, 11, 8, 8, 10, 10, 9, 10, 9, 4, 4, 5, 7, 9, 9, 9, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 8, 8, 11, 10, 11, 11, 11, 10, 11, 10, 11, 10, 12, 11, 12, 12, 12, 10, 8, 8, 11, 10, 11, 11, 11, 10, 11, 10, 11, 10, 12, 11, 12, 12, 12, 10, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 7, 10, 9, 10, 9, 4, 4, 8, 7, 8, 7, 8, 7, 7, 12, 11, 12, 12, 12, 11, 10, 10, 10, 9, 4, 4, 8, 7, 8, 7, 8, 7, 7, 12, 11, 12, 12, 12, 11, 10, 10, 10, 9, 4, 4, 8, 7, 8, 7, 8, 7, 7, 12, 11, 12, 12, 12, 11, 10, 10, 10, 9, 4, 4, 8, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 12, 11, 12, 12, 12, 11, 10, 10, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 8, 8, 11, 10, 11, 11, 11, 10, 11, 10, 11, 10, 12, 11, 12, 12, 12, 10, 8, 8, 11, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 2, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 0, 0, 5, 5, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 1, 0, 0, 7, 7, 0, 1, 2, 2, 2, 2, 1, 1, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 0, 0, 0, 1, 2, 1, 0, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 0, 0, 5, 5, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 7, 7, 0, 1, 2, 2, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 3, 2, 1, 1, 0, 0, 3, 2, 3, 4, 4, 1, 1, 0, 0, 0, 1, 2, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 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, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 0, 5, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 16672, 203, 465, 13092, 203, 465, 2322, 203, 465, 5237, 203, 297, 81, 2958, 36, 280, 5237, 32, 1648, 81, 1338, 77, 34, 79, 610, 225, 36, 203, 465, 2959, 34669, 32, 2501, 32, 1113, 7621, 32, 3672, 619, 309, 4700, 89, 203, 1070, 2959, 34669, 32, 2501, 32, 5172, 1188, 2575, 203, 1070, 2959, 34669, 32, 1040, 32, 4266, 1188, 394, 317, 2976, 30, 27229, 2976, 30, 623, 81, 5660, 81, 8078, 203, 1070, 638, 1188, 6550, 81, 3672, 81, 17808, 81, 1423, 30, 6959, 81, 3672, 81, 17808, 81, 1423, 203, 589, 894, 81, 1297, 2262, 284, 1188, 16672, 284, 645, 2959, 34669, 32, 2501, 32, 1113, 2501, 1188, 3725, 2501, 284, 2830, 280, 309, 4700, 89, 32, 16149, 26, 3922, 47, 626, 2208, 32, 26633, 1157, 284, 1201, 6937, 26, 2067, 30, 3725, 2501, 27, 203, 589, 894, 81, 426, 2262, 284, 1201, 309, 4700, 89, 32, 16149, 32, 426, 610, 313, 3672, 20, 203, 589, 894, 81, 4756, 2262, 284, 1201, 309, 4700, 89, 32, 16149, 32, 4756, 610, 313, 1922, 27933, 19770, 2276, 436, 1591, 556, 1829, 9264, 20, 203, 589, 894, 81, 1132, 2262, 284, 1201, 309, 4700, 89, 32, 16149, 32, 1132, 610, 308, 291, 2726, 2536, 370, 5436, 26, 324, 34664, 1057, 20689, 31, 758, 31, 12210, 370, 324, 34292, 27789, 370, 324, 3049, 347, 1318, 1123, 14904, 556, 10105, 372, 4450, 19770, 436, 392, 324, 1244, 47, 2521, 30, 291, 34306, 291, 2726, 287, 2273, 370, 5436, 26, 324, 34664, 1057, 15000, 370, 324, 827, 47, 410, 30, 324, 3049, 347, 1318, 10848, 2384, 432, 322, 21148, 6371, 2830, 1755, 415, 561, 1182, 312, 18443, 1980, 392, 324, 1244, 47, 2521, 30, 291, 34306, 291, 2726, 287, 1644, 370, 5436, 26, 324, 34664, 1057, 10573, 370, 324, 827, 47, 410, 30, 324, 3049, 347, 1318, 10848, 1861, 432, 322, 21148, 6371, 2830, 1755, 415, 561, 1182, 312, 18443, 1980, 392, 324, 1244, 47, 2521, 30, 291, 34306, 291, 308, 12605, 97, 370, 11363, 2024, 1425, 5436, 26, 324, 34664, 1057, 18829, 370, 324, 2125, 1057, 1689, 370, 324, 827, 47, 466, 30, 324, 3049, 347, 558, 432, 322, 1688, 803, 556, 429, 436, 6216, 1688, 3107, 291, 34306, 291, 2726, 287, 1132, 370, 5436, 26, 324, 34664, 1057, 12252, 31, 4780, 31, 12896, 370, 324, 34292, 47, 626, 2208, 32, 613, 1400, 3324, 527, 30, 324, 3049, 347, 4277, 2016, 1628, 4209, 11459, 884, 5403, 544, 372, 322, 3022, 4899, 392, 291, 34306, 284, 829, 203, 589, 894, 81, 1347, 81, 1423, 26, 3625, 3731, 711, 284, 623, 308, 15770, 2976, 26, 4254, 347, 713, 34669, 31, 3672, 31, 1347, 31, 1423, 2131, 619, 24797, 44, 291, 623, 27229, 2976, 26, 7781, 711, 324, 623, 13092, 32, 16708, 26, 1598, 8112, 711, 400, 2575, 14141, 713, 34669, 392, 313, 3672, 6890, 291, 963, 30, 1137, 280, 5205, 3731, 32, 850, 541, 530, 346, 291, 415, 438, 81, 2958, 36, 44, 324, 5133, 81, 88, 393, 280, 313, 23844, 7002, 4209, 20, 291, 813 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 5, 6, 6, 6, 4, 5, 4, 3, 3, 4, 0, 1, 1, 4, 3, 4, 3, 4, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 3, 2, 2, 3, 5, 4, 5, 4, 5, 5, 3, 3, 5, 2, 2, 4, 4, 7, 7, 6, 7, 6, 8, 7, 10, 10, 9, 10, 9, 2, 2, 3, 5, 6, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 1, 1, 3, 7, 7, 6, 7, 5, 6, 4, 4, 6, 6, 0, 1, 1, 2, 2, 2, 1, 1, 3, 7, 7, 6, 7, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 1, 1, 3, 7, 7, 6, 7, 5, 6, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 10, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 10, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 10, 8, 8, 8, 5, 5, 7, 9, 9, 7, 9, 9, 6, 8, 8, 8, 9, 11, 11, 8, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 11, 10, 11, 11, 11, 11, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 9, 9, 9, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 3, 3, 3, 5, 9, 9, 10, 9, 5, 5, 7, 11, 12, 11, 12, 12, 11, 7, 7, 11, 14, 14, 14, 12, 14, 14, 4, 4, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 9, 9, 8, 8, 10, 10, 10, 10, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 6, 6, 0, 0, 2, 0, 4, 4, 0, 6, 1, 1, 2, 2, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 10, 10, 1, 1, 2, 10, 10, 0, 4, 4, 1, 0, 1, 2, 1, 4, 4, 1, 1, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 4, 4, 3, 1, 1, 1, 1, 3, 1, 0, 11, 11, 1, 1, 2, 11, 11, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 12, 12, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 1, 2, 13, 13, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 2, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 2, 1, 1, 1, 2, 2, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 7, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 14, 14, 1, 1, 1, 1, 2, 1, 1, 2, 14, 14, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2 ]
[ 465, 10020, 203, 823, 447, 36256, 1147, 10532, 26, 633, 32, 1212, 10532, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3193, 47, 34, 30, 10525, 47, 38, 711, 291, 630, 32, 800, 280, 4247, 291, 630, 32, 2649, 280, 3193, 291, 630, 32, 9378, 280, 10525, 284, 665, 7725, 81, 1853, 26, 784, 30, 1541, 711, 291, 1056, 280, 1541, 32, 1298, 32, 314, 474, 330, 4987, 96, 25, 291, 16400, 280, 1605, 291, 436, 11659, 328, 1541, 32, 7255, 44, 324, 16400, 32, 1689, 28302, 34, 111, 1279, 35, 16805, 1643, 26, 7317, 32, 626, 30, 630, 32, 8275, 26, 7317, 32, 853, 2610, 291, 1056, 280, 8930, 34, 111, 1371, 35, 1748, 2473, 1643, 26, 1251, 32, 1298, 32, 314, 30, 5769, 5608, 2524, 26, 7255, 490, 4456, 415, 2069, 26, 1267, 27, 848, 225, 42, 34, 44, 324, 1056, 280, 1541, 32, 1298, 32, 314, 474, 330, 4987, 96, 25, 324, 630, 32, 2649, 1454, 225, 35, 324, 436, 11659, 328, 1541, 32, 7255, 44, 400, 1056, 1454, 8930, 36, 3451, 34, 111, 280, 301, 35, 835, 78, 96, 2473, 1643, 26, 7317, 32, 626, 30, 630, 32, 8275, 26, 7317, 32, 853, 471, 330, 330, 319, 308, 784, 32, 2649, 319, 630, 32, 9378, 490, 324, 630, 32, 2649, 5912, 225, 35, 324, 1056, 1454, 330, 330, 319, 308, 784, 32, 2649, 319, 630, 32, 9378, 27, 474, 39691, 291, 630, 32, 800, 280, 1056, 291, 442, 1056, 284, 665, 7725, 81, 720, 26, 784, 30, 1541, 711, 291, 415, 1346, 2009, 1206, 6937, 26, 87, 30, 308, 633, 32, 2007, 30, 10020, 32, 2567, 490, 436, 484, 328, 1541, 32, 342, 1421, 10794, 324, 1056, 280, 13198, 78, 96, 25, 324, 630, 32, 2649, 1454, 225, 35, 324, 436, 1994, 328, 1541, 32, 342, 1421, 44, 400, 1056, 1454, 8930, 35, 3451, 34, 835, 78, 96, 2473, 1643, 26, 784, 32, 8275, 26, 2543, 471, 330, 330, 319, 308, 784, 32, 2649, 319, 630, 32, 9378, 490, 324, 630, 32, 2649, 5912, 225, 35, 324, 1056, 1454, 8930, 34, 10589, 2473, 1643, 463, 330, 319, 308, 784, 32, 2649, 319, 630, 32, 9378, 490, 324, 442, 1056, 291, 813, 44, 324, 1056, 280, 330, 8653, 34, 10589, 2473, 1643, 12573, 5608, 2524, 2009, 784, 32, 8275, 26, 87, 27, 436, 484, 328, 1541, 32, 342, 1421, 5259, 324, 630, 32, 800, 280, 1056, 324, 442, 1056, 284, 665, 7725, 81, 8924, 26, 784, 30, 1541, 711, 291, 438, 13017, 280, 2933, 291, 415, 2069, 26, 1251, 32, 342, 1421, 27, 610, 225, 34, 556, 646, 6937, 26, 1251, 32, 342, 1421, 77, 34, 614, 308, 633, 32, 2567, 30, 633, 32, 720, 490, 556, 308, 324, 6937, 26, 1251, 32, 342, 1421, 77, 34, 614, 10020, 32, 720, 27, 461, 1346, 2009, 1206, 6937, 26, 87, 30, 10020, 32, 2567, 27, 436, 484, 328, 1541, 32, 342, 1421, 77, 34, 997, 342, 1421, 5259, 44, 324, 438, 13017, 280, 3177, 291, 4348, 2069, 26, 1251, 32, 342, 1421, 27, 333, 225, 36, 556, 646, 6937, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 8, 9, 7, 7, 9, 10, 9, 4, 4, 6, 6, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 9, 10, 9, 13, 13, 13, 13, 13, 12, 11, 13, 12, 13, 11, 11, 13, 14, 13, 15, 14, 15, 13, 4, 4, 6, 6, 10, 10, 10, 10, 10, 10, 9, 8, 11, 10, 11, 9, 10, 8, 8, 12, 11, 10, 11, 10, 4, 4, 5, 8, 9, 8, 6, 6, 7, 7, 5, 5, 5, 8, 8, 11, 12, 10, 11, 9, 9, 11, 12, 11, 6, 6, 9, 10, 8, 8, 9, 6, 6, 7, 7, 7, 8, 9, 7, 7, 7, 10, 10, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 14, 13, 12, 14, 13, 14, 12, 12, 14, 15, 14, 16, 15, 16, 14, 12, 15, 13, 13, 17, 16, 17, 15, 15, 16, 17, 14, 6, 6, 9, 10, 8, 8, 9, 6, 6, 8, 8, 12, 10, 10, 14, 13, 14, 12, 12, 13, 14, 11, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 9, 11, 12, 11, 11, 14, 13, 14, 12, 12, 13, 14, 12, 8, 9, 9, 9, 10, 11, 11, 8, 5, 5, 8, 8, 11, 11, 10, 6, 6, 9, 10, 8, 8, 9, 6, 6, 7, 7, 7, 8, 9, 9, 7, 7, 7, 10, 10, 14, 14, 14, 14, 15, 15, 14, 13, 12, 15, 14, 15, 14, 15, 14, 12, 15, 13, 13, 17, 16, 17, 15, 15, 16, 17, 14, 6, 6, 9, 10, 8, 8, 9, 6, 6, 8, 8, 12, 12, 12, 11, 10, 13, 11, 11, 15, 14, 15, 13, 13, 14, 15, 12, 6, 6, 7, 5, 5, 6, 6, 6, 9, 9, 13, 13, 13, 13, 12, 11, 15, 14, 13, 17, 16, 17, 16, 17, 16, 14, 15, 15, 15, 16, 17, 17, 14, 7, 7, 10, 11, 9, 9, 7, 7, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 4, 4, 5, 10, 12, 11, 12, 12, 10, 8, 8, 9, 7, 7, 8, 10, 13, 12, 13, 13, 11, 12, 11, 10, 13, 12, 13, 11, 13, 12, 13, 11, 6, 6, 7, 7, 10, 13, 12, 13, 13, 11, 12, 11, 10, 11, 12, 10, 8, 8, 10, 12, 12, 14, 15, 14, 14, 15, 16, 14, 11, 12, 12, 12, 15, 16, 16, 14, 15, 14, 14, 14, 11, 5, 5, 5, 9, 8, 8, 5, 5, 6, 10, 12, 11, 12, 12, 10, 8, 8, 9, 7, 7, 8, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 4, 4, 0, 0, 4, 4, 2, 2, 2, 3, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 3, 3, 0, 2, 0, 0, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 5, 5, 0, 0, 2, 1, 1, 2, 2, 2, 3, 3, 0, 2, 0, 0, 2, 3, 3, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 6, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 2, 0, 0, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 3, 3, 0, 2, 0, 0, 2, 3, 3, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 3, 3, 5, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 3, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 4, 4, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 3, 0, 3, 2, 3, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 4, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1933, 1188, 28667, 203, 1070, 7138, 1188, 30784, 203, 1070, 11171, 1188, 11171, 38, 203, 465, 3619, 10185, 203, 1070, 457, 20322, 81, 14287, 1188, 44328, 203, 1070, 2340, 1040, 32, 3922, 1188, 3185, 619, 3185, 81, 770, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 2684, 81, 3550, 203, 1070, 21361, 1188, 15124, 203, 1070, 309, 3038, 32, 2304, 32, 8524, 32, 3613, 1188, 1476, 30, 7502, 203, 1070, 309, 3038, 32, 4636, 40509, 32, 3378, 1188, 6645, 38635, 203, 1070, 309, 3038, 32, 4636, 40509, 32, 1217, 81, 10736, 81, 14162, 1188, 308, 284, 6645, 8859, 9117, 30, 284, 3909, 81, 23079, 30, 284, 22414, 81, 8200, 30, 203, 27, 203, 1070, 309, 3038, 32, 4636, 40509, 32, 16550, 1188, 1487, 81, 4636, 40509, 81, 1217, 30, 1487, 81, 4636, 40509, 81, 10736, 203, 1070, 309, 3038, 32, 858, 2304, 32, 10996, 1188, 16569, 40509, 7233, 30, 19205, 203, 1070, 309, 3038, 32, 2304, 1188, 2361, 203, 823, 6645, 8859, 9117, 1006, 26, 7233, 30, 16569, 40509, 7233, 711, 284, 477, 12940, 284, 665, 10776, 81, 314, 26, 784, 711, 291, 442, 313, 35, 36, 37, 38, 20, 284, 477, 12940, 284, 665, 3610, 81, 1327, 81, 5098, 26, 784, 711, 291, 442, 3447, 1648, 563, 225, 35, 30, 313, 6263, 563, 630, 32, 1455, 81, 6263, 111, 284, 477, 12940, 284, 665, 3610, 81, 6263, 26, 784, 711, 291, 442, 301, 324, 313, 10736, 81, 314, 563, 630, 32, 10736, 81, 314, 30, 324, 313, 2810, 563, 3447, 605, 563, 28254, 7656, 563, 225, 39, 34, 10589, 835, 324, 313, 5561, 563, 313, 36, 34, 36, 34, 31, 34, 35, 31, 34, 35, 70, 34, 35, 44, 36, 37, 44, 38, 39, 32, 35, 36, 37, 38, 392, 291, 320, 284, 477, 12940, 284, 665, 2080, 81, 5098, 26, 784, 711, 291, 442, 3447, 1648, 563, 225, 36, 30, 313, 6263, 563, 630, 32, 1327, 81, 6263, 111, 284, 477, 12940, 284, 665, 2080, 81, 6263, 26, 784, 711, 291, 442, 301, 324, 313, 10736, 81, 314, 563, 630, 32, 10736, 81, 314, 30, 324, 313, 1267, 563, 3447, 605, 563, 28254, 7656, 563, 225, 39, 34, 10589, 835, 324, 313, 1357, 563, 3447, 6060, 563, 313, 605, 3918, 324, 313, 5561, 563, 313, 36, 34, 36, 34, 31, 34, 35, 31, 34, 35, 70, 34, 35, 44, 36, 37, 44, 38, 39, 32, 35, 36, 37, 38, 392, 291, 320, 284, 477, 12940, 284, 665, 8456, 26, 784, 711, 291, 442, 11171, 38, 922, 6949, 284, 477, 12940, 284, 665, 22595, 26, 784, 711, 291, 4904, 81, 426, 280, 4070, 32, 61, 5995, 21730, 81, 9521, 14436, 77, 784, 32, 5473, 11159, 5176, 1446, 291, 3570, 280, 301, 324, 313, 5172, 32, 13547, 563, 4070, 32, 61, 5995, 21730, 81, 1583, 6902, 9135, 77, 5176, 81, 426, 11159, 2282, 15544, 400, 313, 5172, 32, 13547, 20, 324, 2505, 324, 313, 2848, 32, 5457, 32, 874, 563, 225, 40, 34, 34, 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, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 10, 10, 10, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 8, 12, 12, 10, 15, 15, 13, 14, 14, 12, 9, 7, 7, 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, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 10, 10, 10, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 8, 12, 12, 10, 15, 15, 13, 14, 14, 12, 9, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 7, 7, 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, 7, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 8, 7, 7, 10, 11, 11, 11, 11, 11, 11, 9, 11, 10, 11, 9, 10, 10, 5, 5, 7, 7, 8, 8, 11, 11, 11, 11, 9, 13, 14, 14, 14, 14, 14, 14, 14, 12, 13, 13, 13, 12, 13, 13, 10, 10, 12, 12, 12, 12, 10, 10, 8, 8, 11, 11, 11, 11, 11, 11, 9, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 3, 3, 2, 2, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 9, 9, 0, 10, 10, 0, 1, 2, 1, 4, 1, 6, 10, 10, 10, 10, 0, 11, 11, 0, 1, 2, 2, 1, 4, 11, 11, 0, 0, 12, 12, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 12, 12, 12, 12, 0, 0, 12, 12, 12, 0, 0, 12, 12, 12, 0, 0, 12, 12, 12, 0, 13, 13, 0, 1, 2, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 0, 14, 14, 0, 1, 2, 2, 1, 4, 14, 14, 0, 0, 14, 14, 0, 15, 15, 0, 1, 2, 15, 15, 0, 16, 16, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 16, 16, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 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, 2, 1, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 5, 1, 2, 1, 1, 2, 1, 1, 1, 2, 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, 2, 1, 1, 4, 4, 1, 5, 5, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 4, 4, 1, 6, 6, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 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, 465, 1619, 1356, 203, 465, 5237, 203, 465, 26313, 203, 465, 1133, 203, 465, 18792, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 3878, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 5239, 81, 7490, 619, 5741, 203, 1070, 14785, 32, 2958, 32, 1040, 1188, 8248, 203, 1070, 14785, 32, 2958, 32, 1040, 32, 4213, 81, 1358, 1188, 5239, 81, 1358, 203, 50, 4213, 81, 1358, 440, 3239, 32, 29767, 657, 203, 823, 16504, 9693, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 5063, 81, 4048, 81, 3893, 81, 2516, 47, 2521, 711, 284, 415, 5063, 81, 4048, 81, 3893, 81, 2516, 438, 1665, 44, 397, 5063, 81, 4048, 81, 3893, 81, 2516, 280, 308, 4275, 32, 27089, 924, 21713, 284, 630, 1114, 6008, 81, 4048, 81, 3893, 81, 2516, 280, 8825, 26, 6008, 81, 4048, 81, 3893, 81, 2516, 27, 284, 630, 1114, 809, 280, 26313, 32, 4631, 346, 284, 630, 1114, 4048, 81, 1567, 280, 26313, 32, 1151, 346, 284, 630, 1114, 14806, 81, 1338, 81, 452, 81, 13225, 280, 1665, 284, 630, 1114, 35683, 280, 3177, 284, 630, 1114, 17360, 81, 10459, 280, 739, 346, 334, 665, 617, 2029, 81, 3893, 26, 784, 30, 538, 711, 284, 415, 6937, 26, 327, 30, 8825, 711, 397, 538, 36, 280, 538, 77, 35, 79, 284, 813, 44, 397, 538, 36, 280, 538, 284, 415, 6937, 26, 327, 36, 30, 630, 1114, 6008, 81, 4048, 81, 3893, 81, 2516, 711, 397, 538, 280, 1665, 284, 442, 538, 334, 665, 1326, 81, 4048, 26, 784, 30, 538, 47, 2521, 711, 284, 623, 630, 1114, 809, 44, 397, 538, 280, 630, 1114, 2029, 81, 3893, 26, 327, 27, 397, 415, 630, 1114, 35683, 44, 291, 415, 6937, 26, 327, 30, 8825, 711, 616, 18792, 32, 100, 3002, 1125, 2740, 327, 27, 291, 4348, 538, 438, 646, 1665, 44, 616, 18792, 32, 100, 3002, 1125, 2740, 3731, 32, 14806, 81, 1338, 1157, 397, 415, 646, 630, 1114, 4048, 81, 1567, 32, 297, 81, 470, 2262, 291, 415, 538, 461, 630, 1114, 14806, 81, 1338, 81, 452, 81, 13225, 438, 1665, 44, 616, 415, 6937, 26, 327, 30, 8825, 711, 324, 5741, 32, 1338, 440, 924, 14527, 372, 16504, 9693, 44, 904, 101, 392, 656, 8248, 32, 302, 81, 466, 81, 1813, 26, 327, 77, 35, 5727, 656, 13489, 81, 1338, 47, 327, 27, 324, 630, 1114, 14806, 81, 1338, 81, 452, 81, 13225, 280, 538, 616, 813, 44, 324, 5741, 32, 1338, 440, 924, 14527, 372, 16504, 9693, 44, 904, 101, 30, 904, 101, 392, 656, 827, 26, 327, 471, 656, 8248, 32, 302, 81, 466, 81, 1813, 26, 327, 490, 324, 630, 1114, 14806, 81, 1338, 81, 452, 81, 13225, 280, 5237, 32, 14806, 81, 1338, 346, 616, 415, 308, 1657, 26, 784, 1114, 14806, 81, 1338, 81, 452, 81, 13225, 27, 863, 225, 37, 556, 1090, 646, 630, 1114, 14806, 81, 1338, 81, 452, 81, 13225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 4, 3, 2, 2, 4, 5, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 6, 7, 5, 4, 4, 6, 8, 8, 8, 8, 8, 8, 7, 7, 6, 6, 6, 10, 10, 10, 10, 10, 10, 9, 9, 12, 11, 12, 12, 10, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 5, 5, 8, 9, 7, 7, 9, 10, 9, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 9, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 9, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 8, 9, 8, 8, 8, 6, 6, 10, 9, 9, 10, 11, 10, 6, 6, 7, 7, 7, 11, 10, 10, 5, 5, 6, 8, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 8, 6, 6, 9, 9, 5, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 6, 6, 6, 9, 9, 11, 12, 12, 12, 11, 12, 11, 7, 7, 8, 9, 10, 8, 8, 8, 10, 12, 13, 12, 12, 12, 10, 10, 14, 15, 15, 15, 14, 16, 14, 10, 10, 11, 12, 12, 12, 11, 11, 11, 15, 16, 16, 16, 15, 19, 18, 19, 19, 19, 18, 7, 7, 8, 9, 12, 13, 13, 13, 11, 12, 12, 12, 11, 8, 8, 10, 11, 11, 13, 14, 14, 14, 14, 14, 14, 14, 12, 12, 10, 10, 10, 12, 14, 15, 14, 14, 14, 12, 12, 16, 17, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 18, 19, 19, 19, 19, 19, 18, 20, 19, 20, 19, 16, 16, 18, 18, 17, 18, 16, 13, 13, 16, 17, 17, 17, 17, 17, 17, 17, 15, 15, 12, 12, 13, 13, 13, 17, 18, 17, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 17, 17, 19, 20, 19, 17, 17, 19, 20, 20, 20, 20, 20, 19, 20, 19, 14, 14, 17, 18, 18, 18, 18, 18, 18, 18, 16, 16, 18, 19, 19, 19, 18, 11, 11, 12, 18, 18, 20, 19, 20, 20, 20, 20, 20, 20, 20, 18, 16, 16, 17, 15, 15, 15, 16, 18, 19, 19, 19, 19, 19, 19, 19 ]
[ 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, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 3, 3, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 1, 6, 6, 6, 11, 11, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 12, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 4, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 3, 3, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 5, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 3, 3, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2 ]
[ 1070, 638, 72, 1996, 7233, 1188, 676, 1996, 7233, 203, 1070, 638, 6938, 705, 2656, 885, 1006, 1188, 17651, 705, 2656, 885, 1006, 203, 1070, 638, 2656, 885, 705, 6938, 1006, 1188, 11587, 885, 705, 6938, 1006, 203, 1070, 638, 2656, 885, 3457, 1006, 1188, 11587, 885, 3457, 1006, 203, 1070, 638, 6834, 3552, 705, 6834, 1006, 1188, 31116, 3552, 705, 6834, 1006, 203, 1070, 638, 2459, 1006, 1188, 7703, 1006, 203, 1070, 638, 19579, 2656, 885, 1006, 1188, 44299, 2656, 885, 1006, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 203, 202, 465, 15798, 203, 202, 18986, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 3, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 0, 3, 3, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 1427, 1643, 505, 280, 313, 268, 25120, 878, 931, 20, 203, 465, 2322, 203, 465, 19493, 203, 465, 7060, 203, 465, 5237, 203, 465, 1133, 203, 465, 11685, 203, 589, 19249, 518, 26, 6320, 761, 47, 2521, 30, 12373, 47, 2521, 30, 4200, 912, 47, 34, 41, 41, 711, 284, 415, 2322, 32, 15793, 2262, 31509, 442, 225, 35, 284, 2322, 32, 2021, 314, 346, 284, 415, 2322, 32, 15793, 2262, 31509, 442, 225, 36, 284, 2322, 32, 31015, 24667, 284, 415, 4200, 912, 438, 646, 1665, 44, 291, 2322, 32, 378, 912, 26, 378, 912, 27, 284, 744, 280, 2322, 32, 1676, 3247, 1902, 33, 1693, 370, 2322, 32, 65, 81, 12733, 2591, 27, 284, 436, 595, 328, 2155, 26, 37, 711, 291, 1596, 44, 324, 2322, 32, 12130, 36, 26, 1693, 30, 595, 27, 291, 2940, 546, 21887, 30, 484, 44, 324, 415, 484, 32, 12864, 863, 19493, 32, 9649, 44394, 44, 400, 3636, 284, 2322, 32, 2679, 26, 1693, 27, 284, 11685, 32, 2029, 19991, 463, 3617, 683, 284, 415, 12497, 761, 44, 291, 12497, 1515, 280, 2322, 32, 983, 32, 7781, 26, 6320, 761, 27, 291, 415, 646, 2322, 32, 983, 32, 4658, 26, 6320, 1515, 711, 324, 2322, 32, 27428, 26, 6320, 1515, 27, 291, 296, 280, 803, 26, 6320, 761, 30, 330, 105, 683, 291, 296, 32, 1821, 26, 466, 26, 500, 32, 371, 6320, 5156, 291, 296, 32, 2679, 346, 284, 415, 12373, 44, 291, 1596, 44, 324, 12373, 280, 629, 26, 1890, 27, 291, 2940, 10091, 44, 324, 645, 26355, 1188, 622, 98, 3046, 404, 324, 12373, 280, 622, 98, 3046, 404, 26, 1890, 547, 9734, 81, 1890, 291, 2322, 32, 470, 1890, 26, 1890, 27, 284, 442, 1665, 203, 823, 24267, 5998, 18170, 383, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1359, 1803, 27, 499, 291, 630, 32, 7843, 280, 1359, 1803, 32, 21392, 291, 630, 32, 426, 280, 596, 26, 784, 3667, 823, 25566, 2998, 36909, 6448, 35, 79, 291, 630, 1114, 6320, 81, 761, 280, 2322, 32, 983, 32, 2524, 3247, 2868, 370, 6611, 101, 32, 6320, 21735, 784, 32, 426, 27, 291, 415, 2322, 32, 983, 32, 4658, 26, 784, 1114, 6320, 81, 761, 711, 324, 3636, 3268, 41412, 20976, 1980, 432, 904, 101, 2298, 526, 3974, 32, 203, 2797, 561, 595, 646, 322, 1135, 30, 3345, 322, 803, 904, 101, 9592, 904, 308, 784, 32, 426, 30, 630, 1114, 6320, 81, 761, 490, 291, 630, 1114, 19145, 280, 225, 35, 291, 630, 1114, 7840, 299, 280, 225, 34, 291, 630, 32, 1163, 280, 1359, 1803, 284, 665, 617, 19186, 518, 26, 784, 711, 291, 415, 646, 630, 32, 1163, 32, 9179, 70, 10028, 44, 324, 415, 19249, 518, 26, 784, 1114, 6320, 81, 761, 27, 438, 1665, 44, 400, 7060, 32, 7295, 26, 7295, 32, 14840, 19794, 30, 630, 32, 7295, 81, 4531, 27, 400, 7060, 32, 7295, 26, 7295, 32, 69, 14271, 2418, 30, 630, 32, 7295, 81, 4531, 27, 324, 813, 44, 400, 442, 429, 35, 284, 665, 1420, 26, 784, 711, 291, 415, 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 ]
[ 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 5, 6, 5, 3, 3, 5, 6, 2, 2, 5, 6, 6, 5, 2, 2, 3, 5, 6, 5, 3, 3, 5, 6, 2, 2, 5, 6, 5, 2, 2, 3, 5, 4, 4, 4, 3, 3, 3, 7, 8, 8, 7, 8, 8, 7, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 7, 8, 8, 8, 8, 6, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 5, 5, 5, 9, 10, 10, 9, 10, 9, 9, 9, 5, 5, 6, 7, 6, 6, 6, 6, 6, 8, 10, 11, 9, 9, 10, 11, 11, 8, 8, 8, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 6, 6, 5, 7, 7, 2, 2, 3, 4, 3, 3, 3, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 8, 4, 4, 5, 6, 9, 10, 8, 9, 8, 9, 9, 8, 5, 5, 9, 10, 9, 10, 10, 9, 4, 4, 6, 6, 8, 9, 9, 8, 8, 10, 10, 4, 4, 7, 8, 7, 9, 9, 12, 11, 12, 12, 11, 4, 4, 7, 8, 7, 2, 2, 3, 3, 3, 3, 5, 5, 5, 8, 8, 10, 11, 10, 5, 5, 6, 6, 6, 6, 8, 8, 8, 10, 10, 10, 7, 7, 9, 9, 12, 12, 12, 12, 13, 12, 11, 11, 11, 4, 4, 7, 8, 8, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 3, 7, 8, 6, 6, 8, 7, 8, 4, 4, 7, 8, 6, 6, 11, 13, 12, 13, 13, 10, 9, 7, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 10, 10, 8, 11, 11, 11, 11, 11, 10, 11, 8, 4, 4, 5, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 13, 12, 13, 11, 11, 12, 13, 13, 13, 11, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 9, 7, 8, 8, 8, 5, 5, 5, 7, 10, 10, 12, 11, 12, 12, 12, 10, 8, 8, 7, 7, 7, 11, 12, 11, 13, 12, 13, 13, 11, 11, 12, 13, 13, 13, 11, 8, 8, 11, 12, 11, 13, 12, 13, 13, 13, 11, 11, 12, 13, 13, 13, 11, 7, 7, 8, 8, 8, 10, 12, 2, 2, 3, 4, 5, 4, 3, 3, 5 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 0, 5, 2, 2, 2, 2, 7, 7, 0, 0, 2, 1, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 4, 4, 2, 0, 2, 1, 2, 2, 0, 1, 4, 4, 0, 2, 1, 4, 4, 4, 0, 1, 1, 1, 4, 4, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 1, 4, 4, 6, 6, 6, 1, 1, 1, 6, 6, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 2, 4, 4, 9, 1, 9, 9, 9, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 3, 3, 0, 2, 1, 4, 4, 10, 10, 10, 10, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 2, 1, 1, 1, 4, 4, 11, 0, 8, 8, 1, 1, 1, 8, 8, 8, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 4, 4, 3, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 1, 3, 3, 2, 2, 1, 2, 2, 2, 0 ]
[ 998, 47, 34, 203, 1216, 330, 20633, 1509, 8019, 1929, 436, 3844, 25, 203, 5525, 2385, 333, 37, 44, 203, 202, 1216, 330, 20633, 1509, 1929, 23, 86, 21735, 26, 998, 29, 35, 27, 203, 202, 1131, 47, 1294, 81, 1131, 463, 1516, 23, 86, 31197, 26, 998, 29, 35, 490, 203, 202, 325, 1509, 32, 44065, 25231, 2700, 44, 357, 202, 1216, 330, 1131, 1048, 30, 646, 312, 1929, 25, 357, 202, 7505, 203, 202, 998, 9372, 35, 203, 202, 325, 2385, 379, 35, 44, 357, 202, 1516, 35, 47, 1131, 203, 202, 12106, 2385, 379, 36, 44, 357, 202, 1516, 36, 47, 1131, 1659, 202, 12106, 2385, 379, 37, 44, 357, 202, 1516, 37, 47, 1131, 357, 202, 1216, 330, 1131, 943, 5094, 225, 322, 27945, 1929, 438, 499, 5769, 1516, 35, 30, 1516, 36, 30, 1516, 37, 357, 202, 1216, 330, 20633, 2192, 322, 3844, 827, 25, 357, 202, 1216, 15584, 35, 27, 3844, 810, 5585, 25, 4512, 202, 1216, 15584, 36, 27, 3844, 810, 17912, 25, 22019, 202, 1216, 15584, 106, 27, 4323, 25, 357, 202, 1613, 12405, 3870, 47, 2700, 357, 202, 5525, 2192, 12405, 3870, 379, 2700, 44, 355, 202, 3323, 620, 47, 1294, 81, 1131, 463, 1613, 47169, 31452, 202, 325, 3844, 620, 10844, 106, 950, 603, 202, 1216, 330, 4775, 322, 3844, 25, 603, 202, 1613, 12405, 3870, 47, 1815, 355, 202, 12106, 3844, 620, 32, 44065, 25231, 2700, 44, 603, 202, 1216, 330, 1613, 1048, 30, 646, 312, 1929, 25, 603, 202, 1613, 12405, 3870, 47, 2700, 603, 202, 7505, 355, 202, 12106, 629, 26, 3323, 620, 11060, 36, 556, 629, 26, 3323, 620, 12129, 34, 499, 603, 202, 1216, 330, 1613, 1048, 30, 1206, 225, 35, 556, 225, 36, 25, 603, 202, 1613, 12405, 3870, 47, 2700, 603, 202, 7505, 355, 202, 12106, 629, 26, 3323, 620, 19162, 35, 44, 603, 202, 1216, 330, 3323, 810, 3466, 25, 603, 202, 1433, 47, 34, 603, 202, 1433, 35, 47, 1516, 35, 603, 202, 1433, 36, 47, 1516, 36, 603, 202, 1433, 37, 47, 1516, 37, 603, 202, 325, 1779, 35, 46, 1433, 36, 44, 577, 202, 1433, 47, 1433, 35, 577, 202, 1433, 35, 47, 1433, 36, 577, 202, 1433, 36, 47, 1433, 603, 202, 325, 1779, 36, 333, 1433, 37, 44, 577, 202, 1433, 47, 1433, 36, 577, 202, 1433, 36, 47, 1433, 37, 577, 202, 1433, 37, 47, 1433, 603, 202, 325, 1779, 35, 333, 1779, 36, 44, 577, 202, 1433, 47, 1433, 35, 577, 202, 1433, 35, 47, 1433, 36, 577, 202, 1433, 36, 47, 1433, 603, 202, 1216, 330, 1267, 438, 370, 1433, 35, 30, 1433, 36, 30, 1433, 37, 355, 202, 12106, 629, 26, 3323, 620, 19162, 36, 44, 603, 202, 1216, 330, 3323, 810, 17912, 25, 603, 202, 1433, 35, 47, 410, 26, 1516, 35, 27, 603, 202, 1433, 36, 47, 410, 26, 1516, 36, 27, 603, 202, 1433, 37, 47, 410, 26, 1516, 37, 27, 603, 202, 325, 1779, 35, 48, 1433, 36, 44, 577, 202, 1433, 35, 47, 1433, 35, 80, 1433, 36, 577, 202 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 2, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 3, 3, 6, 6, 6, 6, 6, 6, 5, 7, 6, 7, 5, 2, 2, 5, 4, 6, 6, 6, 6, 9, 9, 9, 9, 8, 10, 9, 10, 8, 2, 2, 3, 3, 6, 7, 6, 5, 3, 3, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 2, 2, 5, 4, 5, 2, 2, 3, 3, 4, 5, 3, 3, 3, 7, 7, 6, 7, 3, 3, 4, 4, 5, 6, 4, 4, 4, 8, 8, 7, 8, 3, 3, 4, 4, 5, 6, 4, 4, 4, 8, 8, 7, 8, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6, 7, 7, 6, 7, 7, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 7, 8, 5, 5, 6, 6, 8, 8, 7, 8, 6, 6, 6, 10, 10, 9, 11, 11, 11, 11, 13, 13, 7, 7, 8, 8, 10, 9, 11, 11, 8, 8, 10, 10, 12, 12, 12, 12, 9, 9, 12, 12, 12, 11, 12, 8, 8, 9, 9, 13, 12, 13, 12, 11, 9, 9, 9, 11, 11, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 13, 12, 13, 10, 10, 11, 8, 8, 9, 9, 13, 14, 14, 13, 12, 10, 10, 13, 14, 14, 13, 12, 9, 9, 9, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 13, 12, 13, 10, 10, 11, 8, 8, 9, 9, 12, 13, 13, 12, 11, 9, 9, 9, 11, 11, 13, 13, 13, 13, 10, 10, 13, 12, 13, 10, 10, 13, 13, 12, 13, 13, 10, 10, 13, 13, 12, 13, 13, 10, 10, 13, 13, 12, 13, 13, 10, 10, 11, 11, 13, 12, 13, 13, 11, 11, 11, 15, 14, 15, 15, 12, 12, 15, 15, 14, 15, 15, 12, 12, 15, 15, 14, 15, 10, 10, 11, 11, 13, 12, 13, 13, 11, 11, 11, 15, 14, 15, 15, 12, 12, 15, 15, 14, 15, 15, 12, 12, 15, 15, 14, 15, 10, 10, 11, 11, 13, 12, 12, 13, 11, 11, 11, 15, 14, 15, 15, 12, 12, 15, 15, 14, 15, 15, 12, 12, 15, 15, 14, 15, 10, 10, 11, 11, 13, 13, 13, 12, 12, 11, 12, 12, 11, 12, 12, 8, 8, 9, 9, 12, 13, 13, 12, 11, 9, 9, 9, 11, 11, 13, 13, 13, 13, 10, 10, 13, 13, 12, 14, 14, 15, 15, 14, 10, 10, 13, 13, 12, 14, 14, 15, 15, 14, 10, 10, 13, 13, 12, 14, 14, 15, 15, 14, 10, 10, 11, 11, 13, 12, 13, 13, 11, 11, 11, 15, 15, 14, 16, 16, 15, 16, 16, 12, 12 ]
[ 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 3, 3, 0, 0, 2, 3, 3, 4, 4, 1, 2, 4, 4, 4, 0, 0, 0, 2, 4, 4, 4, 4, 1, 2, 4, 4, 4, 0, 0, 0, 2, 4, 4, 5, 5, 1, 2, 5, 5, 5, 0, 0, 0, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 7, 7, 3, 3, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 1, 1, 1, 1, 1, 2, 3, 3, 5, 5, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3, 7, 7, 0, 0, 1, 2, 7, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 4, 4, 0, 0, 2, 1, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3, 2, 1, 1, 5, 5, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3, 2, 1, 1, 6, 6, 1, 1, 1, 1, 2, 6, 6, 6, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 2, 3, 3, 5, 5, 0, 1, 2, 2, 5, 5, 5, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 3, 3, 6, 6, 0, 1, 2, 2, 6, 6, 6, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 3, 3, 7, 7, 0, 1, 1, 2, 7, 7, 7, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 3, 3, 8, 8, 1, 1, 2, 3, 3, 8, 5, 5, 8, 7, 7, 1, 1, 7, 7, 1, 1, 1, 1, 2, 7, 7, 7, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 4, 4, 0, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 7138, 203, 1070, 4134, 1188, 5601, 18241, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 8527, 32, 1199, 1188, 9218, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 2602, 1188, 14621, 1625, 203, 1070, 8527, 32, 858, 1188, 19205, 30, 7116, 23093, 1996, 4228, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 32, 18218, 1188, 622, 81, 8638, 81, 18218, 203, 1070, 638, 3378, 1188, 308, 284, 20671, 30, 44348, 14923, 1868, 30, 24506, 30, 3903, 30, 3678, 35, 30, 3678, 36, 30, 3678, 37, 30, 284, 12495, 4741, 8882, 30, 35493, 30, 21885, 30, 203, 27, 203, 823, 3678, 4470, 26, 7233, 711, 284, 665, 894, 81, 10513, 81, 33597, 81, 10122, 26, 784, 711, 291, 21885, 32, 5740, 32, 2029, 26, 18495, 505, 33597, 47, 34, 27, 284, 665, 894, 81, 10513, 81, 23825, 81, 10122, 26, 784, 711, 291, 21885, 32, 5740, 32, 2029, 26, 18495, 505, 23825, 47, 34, 27, 284, 665, 894, 81, 2602, 81, 3215, 81, 10199, 81, 601, 81, 314, 81, 4890, 26, 784, 711, 291, 3082, 280, 9218, 32, 1199, 81, 979, 81, 1821, 26, 15409, 27, 291, 2467, 280, 14621, 1625, 26, 15409, 27, 291, 2467, 32, 3215, 81, 2810, 2009, 15409, 1114, 2859, 32, 4151, 77, 34, 6137, 5518, 5081, 47, 2700, 27, 291, 2467, 32, 371, 81, 10199, 26, 908, 47, 1199, 547, 302, 81, 2602, 346, 284, 665, 894, 81, 2951, 81, 11447, 26, 784, 711, 291, 312, 280, 20671, 32, 5740, 32, 1297, 26, 324, 31963, 347, 7760, 821, 597, 13700, 2547, 81, 770, 47, 6665, 32, 6665, 32, 2174, 346, 291, 829, 291, 630, 32, 25839, 26, 83, 32, 371, 81, 1517, 81, 2751, 1026, 1665, 27, 291, 312, 280, 20671, 32, 5740, 32, 371, 26, 3174, 47, 83, 32, 3174, 27, 291, 630, 32, 5299, 26, 83, 32, 14481, 81, 605, 30, 9142, 291, 630, 32, 25839, 26, 681, 26, 83, 32, 14481, 81, 605, 471, 18792, 32, 878, 81, 681, 27, 284, 665, 894, 81, 3222, 81, 878, 1495, 26, 784, 711, 291, 312, 280, 20671, 32, 5740, 32, 1297, 26, 324, 31963, 347, 435, 1247, 30, 6394, 6524, 392, 324, 2547, 81, 770, 47, 6665, 32, 6665, 32, 2174, 1026, 324, 9126, 81, 878, 347, 16680, 852, 20, 319, 225, 35, 34, 34, 34, 291, 829, 291, 312, 280, 20671, 32, 5740, 32, 371, 26, 3174, 47, 83, 32, 3174, 27, 291, 630, 32, 5299, 26, 1657, 26, 83, 32, 4066, 81, 878, 471, 225, 39, 34, 34, 34, 27, 284, 665, 894, 81, 3222, 81, 9941, 81, 878, 1495, 26, 784, 711, 291, 312, 280, 20671, 32, 5740, 32, 1297, 26, 324, 31963, 347, 435, 1247, 30, 6394, 6524, 392, 324, 2547, 81, 770, 47, 6665, 32, 6665, 32, 2174, 1026, 324, 9126, 81, 878, 34155, 103, 34, 39, 86, 34, 78, 103, 34, 39, 86, 35, 78, 103, 34, 39, 86, 36, 25, 319, 225, 35, 34, 34, 34, 291, 829, 291, 312, 280, 20671, 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, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 12, 11, 12, 10, 11, 9, 10, 9, 7, 7, 8, 9, 7, 4, 4, 9, 10, 10, 10, 9, 11, 10, 11, 9, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 8, 10, 10, 9, 13, 12, 13, 11, 12, 11, 8, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 9, 11, 10, 11, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 9, 11, 10, 11, 11, 11, 9, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 13, 12, 13, 11, 12, 11, 8, 8, 10, 10, 9, 12, 12, 12, 10, 10, 11, 11, 11, 11, 8, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 9, 11, 10, 11, 8, 4, 4, 7, 8, 7, 9, 9, 11, 10, 11, 11, 11, 9, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 13, 12, 13, 11, 12, 11, 8, 8, 10, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 10, 10, 11, 11, 11, 11, 8, 8, 4, 4, 6, 6, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 5, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 5, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 3, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 0, 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, 2738, 1464, 203, 465, 2322, 203, 465, 7060, 203, 465, 5237, 203, 465, 1123, 32, 35138, 81, 1040, 203, 465, 1123, 32, 2811, 81, 3518, 203, 465, 1123, 32, 761, 81, 4018, 81, 3518, 203, 465, 1123, 32, 751, 203, 465, 1123, 32, 19950, 81, 3518, 203, 465, 1123, 32, 3518, 203, 823, 9919, 1669, 26, 725, 32, 3518, 32, 4077, 1669, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3460, 711, 291, 415, 1123, 32, 1163, 32, 5848, 81, 2811, 44, 324, 1201, 438, 39288, 26, 5784, 3667, 823, 7642, 1123, 32, 1871, 81, 5784, 32, 20937, 5747, 471, 630, 291, 1123, 32, 3518, 32, 4077, 1669, 3667, 1664, 3207, 784, 30, 3460, 30, 1665, 27, 291, 630, 32, 2942, 101, 280, 225, 34, 291, 630, 32, 26399, 1669, 280, 1665, 291, 630, 32, 3867, 10816, 280, 1665, 291, 630, 32, 5784, 280, 3460, 291, 630, 32, 20621, 2655, 280, 225, 34, 291, 630, 32, 9031, 40450, 35, 3211, 280, 3177, 291, 630, 32, 9031, 6034, 1669, 280, 1665, 291, 630, 32, 9031, 6034, 74, 280, 429, 35, 291, 630, 32, 9031, 6034, 75, 280, 429, 35, 291, 630, 32, 2245, 1335, 1669, 280, 630, 32, 5784, 32, 22594, 32, 19653, 1365, 2245, 1335, 1669, 1446, 291, 630, 32, 2811, 1669, 280, 1123, 32, 2811, 81, 3518, 32, 3529, 1669, 26, 784, 32, 5784, 30, 630, 27, 291, 630, 32, 2811, 23684, 1669, 280, 1123, 32, 2811, 81, 3518, 32, 3529, 23684, 1669, 26, 784, 32, 5784, 30, 630, 27, 291, 630, 32, 751, 1669, 280, 1123, 32, 3518, 32, 1335, 1669, 26, 784, 32, 5784, 30, 630, 27, 291, 630, 32, 11796, 1669, 280, 1123, 32, 3518, 32, 11132, 1669, 26, 784, 32, 5784, 30, 630, 27, 291, 630, 32, 17419, 1669, 280, 1123, 32, 3518, 32, 18493, 1669, 26, 784, 32, 5784, 30, 630, 27, 291, 630, 32, 1131, 1669, 280, 1123, 32, 3518, 32, 1612, 1669, 26, 784, 32, 5784, 30, 630, 27, 291, 630, 32, 1131, 1669, 32, 2544, 280, 630, 291, 630, 32, 761, 1572, 1669, 280, 1123, 32, 761, 81, 4018, 81, 3518, 32, 45329, 1669, 26, 324, 630, 32, 5784, 30, 630, 30, 630, 32, 1131, 1669, 291, 829, 291, 630, 32, 761, 1572, 1669, 32, 2544, 280, 630, 291, 630, 32, 19950, 1669, 280, 1123, 32, 19950, 81, 3518, 32, 33035, 1669, 26, 324, 630, 32, 5784, 30, 630, 291, 829, 291, 630, 32, 19950, 1669, 32, 2544, 280, 630, 291, 630, 32, 1131, 1669, 32, 268, 9959, 346, 284, 665, 1539, 81, 7745, 81, 452, 26, 784, 30, 1539, 81, 452, 711, 291, 630, 32, 26399, 1669, 32, 4627, 32, 267, 81, 2342, 346, 291, 4942, 4058, 280, 630, 32, 1809, 81, 2282, 81, 2388, 26, 784, 32, 26399, 1669, 30, 1539, 81, 452, 27, 291, 1550, 280, 630, 32, 26399, 1669, 291, 2218, 1550, 863, 4942, 4058, 44, 324, 415, 1550, 32, 297, 8100, 444 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 2, 5, 4, 5, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 7, 7, 7, 5, 5, 5, 7, 9, 9, 11, 10, 11, 11, 9, 11, 12, 12, 12, 10, 11, 11, 9, 7, 4, 4, 9, 10, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 10, 11, 9, 10, 8, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 8, 10, 9, 10, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 8, 8, 4, 4, 8, 9, 9, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 8, 9, 10, 8, 8, 8, 8, 9, 10, 10, 8, 8, 4, 4, 8, 9, 9, 9, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 8, 8, 8, 9, 10, 8, 8, 8, 8, 4, 4, 8, 9, 9, 7, 8, 6, 6, 4, 4, 8, 9, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 8, 9, 7, 8, 8, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 8, 8, 9, 9, 8, 4, 4, 6, 6, 7, 8, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 8, 9, 9, 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, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 2, 2, 0, 8, 8, 1, 2, 2, 2, 0, 9, 9, 1, 2, 2, 2, 2, 2, 0, 10, 10, 1, 2, 0, 11, 11, 1, 2, 2, 2, 0, 12, 12, 1, 2, 0, 13, 13, 1, 2, 0, 0, 2, 1, 2, 2, 2, 13, 13, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 3, 2, 2, 1, 0, 4, 4, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 5, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 1, 2, 2, 2 ]
[ 1070, 5592, 32, 31983, 32, 31983, 2304, 1188, 15820, 203, 465, 2322, 32, 983, 203, 465, 16539, 203, 465, 485, 2983, 203, 465, 485, 2983, 32, 2282, 203, 465, 485, 2983, 32, 874, 4849, 81, 405, 3899, 203, 465, 787, 1909, 203, 465, 5592, 32, 48609, 32, 85, 1308, 3350, 619, 20523, 203, 7101, 81, 105, 2376, 81, 1574, 81, 5248, 81, 10950, 81, 46120, 280, 3177, 203, 7101, 81, 1536, 81, 9578, 280, 301, 203, 111, 203, 979, 24797, 328, 2107, 5451, 15415, 1757, 81, 3197, 370, 330, 16024, 81, 3197, 370, 330, 7655, 81, 3197, 370, 330, 24463, 81, 7655, 81, 3197, 12132, 334, 9750, 81, 1536, 81, 9578, 77, 7781, 79, 280, 8493, 25, 474, 24797, 203, 979, 15649, 328, 2107, 25641, 81, 10840, 81, 4065, 370, 330, 25641, 81, 10840, 81, 7789, 370, 330, 25641, 81, 10840, 81, 2474, 370, 3083, 330, 25641, 81, 10840, 81, 3197, 2474, 370, 330, 25641, 81, 10840, 81, 2399, 370, 3083, 330, 35629, 2147, 81, 9857, 370, 330, 35629, 2147, 81, 28056, 370, 3083, 330, 14673, 81, 7655, 81, 9857, 370, 330, 14673, 81, 7655, 81, 28056, 370, 3083, 330, 24463, 81, 7655, 81, 9857, 370, 330, 24463, 81, 7655, 81, 28056, 370, 3083, 330, 35684, 81, 2474, 12132, 334, 9750, 81, 1536, 81, 9578, 77, 12085, 79, 280, 4247, 203, 7101, 81, 1536, 81, 9578, 710, 24463, 81, 5451, 15415, 1757, 81, 3197, 785, 280, 766, 284, 8493, 24463, 81, 5451, 15415, 1757, 81, 3197, 25, 203, 589, 14883, 10165, 26, 1536, 81, 9578, 30, 2803, 711, 334, 9750, 81, 4545, 280, 2803, 32, 371, 463, 7101, 81, 4545, 370, 12797, 334, 436, 1202, 30, 909, 328, 9750, 81, 4545, 32, 3028, 2262, 284, 1244, 81, 9578, 32, 37329, 26, 678, 30, 909, 27, 334, 36467, 280, 485, 2983, 32, 2282, 32, 936, 35444, 26, 2132, 27, 334, 1244, 81, 9578, 32, 37329, 463, 2636, 370, 36467, 27, 334, 415, 36467, 610, 330, 4463, 950, 284, 1188, 485, 2983, 32, 7101, 32, 874, 4849, 619, 345, 2269, 101, 81, 7101, 284, 9750, 81, 12187, 81, 3780, 81, 5983, 81, 3494, 280, 18623, 26, 874, 4849, 81, 7101, 30, 291, 330, 7101, 81, 12187, 81, 3780, 81, 5983, 81, 3494, 370, 11544, 284, 9750, 81, 12187, 81, 983, 81, 15485, 280, 18623, 26, 874, 4849, 81, 7101, 30, 291, 330, 7101, 81, 12187, 81, 983, 81, 15485, 370, 11544, 284, 485, 2983, 32, 874, 4849, 81, 405, 3899, 32, 20763, 5240, 10165, 26, 1536, 81, 9578, 30, 2803, 27, 203, 589, 14883, 4815, 1612, 1120, 26, 2132, 711, 334, 9750, 81, 4545, 280, 2803, 32, 371, 463, 7101, 81, 4545, 370, 12797, 334, 415, 9750, 81, 4545, 32, 371, 463, 13768, 81, 1574, 81, 20404, 370, 3177, 711, 284, 3649, 9750, 81, 105, 2376, 81, 1574, 81, 5248, 81, 10950, 81, 46120, 284, 9750, 81, 105, 2376, 81, 1574, 81, 5248, 81, 10950, 81, 46120, 280, 2933, 203, 589, 34023, 8509, 26084, 26, 1977, 81, 668, 30, 1760, 81, 48719, 30, 6035, 7176, 81, 38989, 81, 15615, 30, 1359, 81, 426, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 4, 3, 4, 4, 4, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 2, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 1, 1, 6, 6, 6, 6, 5, 6, 5, 4, 4, 7, 5, 5, 0, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 1, 1, 6, 6, 6, 6, 5, 6, 5, 4, 4, 0, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 2, 2, 3, 4, 4, 3, 3, 6, 6, 5, 6, 5, 3, 3, 8, 8, 7, 8, 7, 8, 7, 7, 7, 2, 2, 4, 4, 8, 7, 8, 6, 7, 7, 6, 7, 6, 2, 2, 6, 6, 5, 6, 5, 7, 7, 5, 5, 2, 2, 3, 4, 4, 6, 6, 3, 3, 5, 8, 7, 8, 7, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 4, 4, 9, 8, 9, 9, 9, 9, 9, 7, 8, 8, 8, 7, 8, 8, 8, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 2, 2, 3, 6, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2 ]
[ 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 0, 5, 5, 0, 1, 2, 2, 2, 2, 2, 0, 6, 6, 0, 0, 7, 7, 0, 2, 0, 4, 4, 4, 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, 2, 2, 0, 10, 10, 10, 10, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 11, 11, 11, 11, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 2, 1, 1, 1, 2, 2, 2, 13, 13, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 4, 4, 1, 1, 2, 2, 2, 2, 3, 3, 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, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 14, 14, 1, 1, 1, 2, 1, 2, 14, 14, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 5, 5, 5, 5, 2, 2, 7, 7, 2 ]
[ 1070, 1168, 33367, 32, 26878, 32, 2282, 1188, 1245, 203, 1070, 1168, 33367, 32, 5558, 32, 34542, 32, 2282, 1188, 8752, 106, 81, 2304, 203, 3602, 280, 1245, 32, 10579, 4064, 426, 8223, 203, 5721, 81, 1516, 81, 6414, 81, 417, 280, 5053, 9374, 950, 225, 40, 30, 330, 25983, 950, 225, 35, 30, 330, 19041, 950, 225, 35, 41, 111, 203, 589, 617, 5954, 81, 452, 81, 2425, 106, 81, 5275, 26, 2848, 30, 4904, 30, 5750, 30, 623, 81, 314, 47, 2700, 711, 284, 8752, 106, 81, 5275, 280, 2149, 284, 2803, 280, 2107, 7001, 81, 639, 81, 4254, 370, 330, 5721, 370, 1090, 330, 7001, 81, 1363, 81, 314, 370, 330, 625, 81, 3585, 81, 887, 370, 1090, 330, 625, 81, 3585, 81, 1449, 370, 330, 9968, 43981, 785, 284, 415, 623, 81, 314, 44, 291, 2803, 32, 1689, 463, 314, 683, 284, 436, 4356, 328, 2803, 44, 291, 786, 280, 5750, 32, 371, 26, 753, 27, 291, 415, 4356, 646, 328, 5750, 44, 324, 8752, 106, 81, 5275, 77, 753, 79, 280, 786, 291, 4348, 646, 786, 44, 324, 3097, 291, 4348, 4356, 610, 330, 7001, 81, 639, 81, 4254, 950, 324, 8752, 106, 81, 5275, 710, 639, 81, 4254, 785, 280, 5750, 710, 7001, 81, 639, 81, 4254, 785, 291, 4348, 4356, 610, 330, 7001, 81, 1363, 81, 314, 950, 324, 8752, 106, 81, 5275, 710, 3959, 81, 6572, 785, 280, 8752, 106, 81, 2304, 32, 371, 81, 2425, 106, 81, 4373, 81, 1363, 81, 314, 26, 400, 3523, 30, 4904, 30, 5750, 710, 7001, 81, 1363, 81, 314, 3490, 291, 4348, 4356, 610, 330, 5721, 950, 324, 1596, 44, 400, 8752, 106, 81, 5275, 710, 5721, 785, 280, 629, 26, 5275, 710, 5721, 3490, 324, 2940, 308, 22239, 30, 12678, 711, 400, 8752, 106, 81, 5275, 710, 5721, 785, 280, 308, 528, 7079, 81, 1516, 81, 6414, 81, 417, 77, 5275, 710, 5721, 47289, 291, 813, 44, 324, 8752, 106, 81, 5275, 77, 753, 79, 280, 786, 284, 442, 8752, 106, 81, 5275, 203, 589, 617, 5954, 81, 452, 81, 2425, 106, 81, 7004, 26, 2848, 30, 4904, 30, 7019, 30, 623, 81, 314, 47, 2700, 711, 284, 8752, 106, 81, 7004, 280, 5053, 11081, 81, 625, 81, 23089, 81, 7004, 950, 5518, 353, 330, 11081, 81, 625, 81, 87, 2257, 81, 7004, 950, 1605, 111, 284, 436, 6983, 328, 2107, 11081, 81, 625, 81, 23089, 81, 7004, 370, 2855, 330, 11081, 81, 625, 81, 87, 2257, 81, 7004, 12132, 291, 436, 5750, 328, 7019, 77, 7354, 2786, 324, 8752, 106, 81, 7004, 77, 7354, 997, 1689, 26, 400, 617, 5954, 81, 452, 81, 2425, 106, 81, 5275, 26, 2848, 30, 4904, 30, 5750, 30, 623, 81, 314, 490, 284, 442, 8752, 106, 81, 7004, 203, 589, 622, 81, 4373, 81, 1363, 81, 7004, 81, 2425, 106, 81, 1643, 26, 2848, 30, 4904, 30, 2476, 7663, 81, 1363, 81, 7004, 30, 623, 81, 314, 47, 2700, 711, 284, 665, 3829, 26, 5275, 711, 291, 617, 4151, 280, 2107, 7001, 81, 639, 81, 4254, 370, 330, 7001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 6, 4, 5, 3, 3, 6, 6, 4, 5, 3, 3, 6, 6, 4, 5, 5, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 2, 2, 3, 4, 4, 3, 3, 3, 7, 8, 7, 9, 9, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 10, 10, 10, 9, 10, 9, 8, 8, 5, 5, 6, 7, 6, 6, 6, 5, 5, 6, 7, 7, 9, 9, 9, 9, 9, 9, 6, 6, 11, 11, 11, 10, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 12, 12, 5, 5, 6, 7, 7, 9, 9, 9, 9, 9, 9, 6, 6, 11, 11, 11, 10, 12, 12, 12, 12, 9, 9, 12, 12, 12, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 12, 14, 14, 14, 14, 14, 14, 5, 5, 6, 7, 7, 9, 9, 6, 6, 8, 8, 8, 13, 13, 13, 12, 14, 14, 11, 11, 13, 15, 14, 16, 16, 8, 8, 9, 11, 10, 10, 10, 9, 9, 14, 14, 14, 13, 15, 15, 12, 12, 13, 13, 15, 15, 15, 15, 15, 15, 14, 16, 15, 17, 17, 5, 5, 6, 6, 6, 11, 11, 11, 10, 11, 10, 9, 9, 2, 2, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 2, 2, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 6, 7, 6, 5, 5, 11, 11, 11, 10, 11, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11, 11, 11, 11, 12, 12, 11, 2, 2, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 9 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 4, 4, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 4, 1, 4, 4, 4, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 3, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 8, 8, 8, 0, 0, 0, 0, 2, 0, 0, 0, 4, 4, 4, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 4, 4, 2, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 5, 5, 2, 2, 0, 0, 7, 2, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 13625, 1188, 18609, 203, 465, 7138, 203, 465, 17787, 203, 465, 2361, 203, 465, 316, 203, 465, 1133, 203, 465, 296, 31501, 203, 465, 5552, 2208, 203, 1070, 296, 31501, 1188, 617, 203, 6755, 9349, 81, 5451, 9609, 81, 4694, 280, 313, 31242, 31, 25946, 20, 203, 6755, 9349, 81, 7921, 81, 48565, 81, 15625, 280, 313, 31242, 31, 9698, 31, 15378, 20, 203, 6755, 9349, 81, 7921, 81, 15625, 280, 313, 31242, 31, 9698, 20, 203, 589, 5552, 2740, 1132, 30, 1115, 5321, 711, 203, 202, 1366, 81, 1003, 280, 1133, 32, 1003, 346, 203, 202, 1267, 280, 296, 31501, 32, 1199, 1114, 2602, 2740, 1132, 30, 1115, 5321, 27, 203, 202, 416, 81, 1003, 280, 1133, 32, 1003, 346, 203, 202, 3034, 280, 1149, 26, 371, 81, 1700, 81, 3034, 81, 9433, 1157, 203, 202, 325, 296, 31501, 32, 1199, 32, 1199, 81, 681, 610, 313, 12243, 563, 357, 202, 1217, 280, 296, 31501, 32, 1199, 1114, 7017, 32, 1217, 203, 202, 1824, 44, 357, 202, 1217, 280, 296, 31501, 32, 1199, 1114, 7017, 1114, 47828, 203, 202, 1217, 280, 5552, 2208, 32, 1643, 26, 1217, 32, 7201, 1026, 11659, 81, 1732, 347, 7607, 392, 316, 9378, 47, 1815, 27, 203, 202, 325, 2467, 32, 5729, 922, 7201, 922, 2998, 8532, 34, 79, 328, 2884, 1613, 392, 313, 1877, 392, 313, 2560, 10280, 357, 202, 35542, 81, 1267, 280, 296, 31501, 32, 1199, 1114, 2602, 440, 1460, 33753, 16531, 1643, 26, 1217, 471, 619, 81, 2665, 47, 1815, 27, 203, 202, 1824, 44, 357, 202, 35542, 81, 1267, 280, 1605, 203, 202, 605, 280, 301, 357, 202, 20, 1217, 563, 2467, 30, 357, 202, 20, 3034, 563, 4138, 30, 357, 202, 20, 35542, 81, 1267, 563, 14189, 81, 1267, 30, 357, 202, 20, 1003, 563, 1477, 81, 1003, 30, 357, 202, 20, 6932, 563, 1897, 440, 14379, 32, 37, 88, 16054, 1643, 1162, 416, 81, 1003, 429, 1477, 81, 1003, 27, 319, 225, 35, 34, 34, 34, 3662, 203, 202, 111, 203, 202, 48020, 32, 1696, 1114, 31242, 32, 3317, 26, 605, 27, 203, 202, 601, 1056, 203, 589, 622, 81, 1700, 81, 3034, 81, 9433, 2262, 203, 202, 1270, 44, 357, 202, 1700, 280, 17787, 32, 1700, 1744, 346, 357, 202, 9433, 280, 17787, 32, 371, 11925, 9433, 26, 1700, 30, 1619, 47, 35, 34, 27, 357, 202, 979, 3118, 30, 4870, 30, 39997, 30, 667, 30, 1619, 30, 1650, 328, 1149, 26, 35107, 26, 9433, 490, 20129, 36, 2786, 355, 202, 325, 2430, 7491, 5681, 328, 4870, 44, 603, 202, 12766, 301, 577, 202, 20, 3607, 563, 316, 32, 1113, 5791, 1958, 7491, 10590, 4320, 4870, 471, 577, 202, 20, 12300, 563, 39997, 30, 577, 202, 20, 1126, 563, 667, 30, 603, 202, 111, 203, 202, 7343, 3268, 44, 357, 202, 4617, 203, 589, 3627, 2262, 203, 202, 325, 1156, 2811, 26927, 357, 202, 325, 296, 31501, 32, 2613, 922, 371, 81, 853, 26, 6755, 9349, 81, 5451, 9609, 81, 4694, 711, 355, 202, 48020, 32, 1696, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 4, 2, 2, 4, 2, 1, 1, 5, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 8, 7, 8, 6, 7, 6, 8, 6, 6, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 7, 6, 7, 5, 6, 6, 6, 4, 4, 6, 6, 3, 3, 7, 6, 6, 10, 9, 10, 8, 9, 7, 8, 3, 3, 4, 4, 4, 4, 8, 7, 7, 11, 10, 11, 9, 10, 8, 9, 2, 2, 5, 4, 4, 7, 6, 7, 6, 9, 8, 9, 8, 6, 8, 8, 7, 9, 9, 6, 8, 7, 8, 6, 2, 2, 3, 3, 11, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 3, 3, 7, 7, 7, 6, 6, 10, 9, 10, 8, 9, 8, 12, 12, 12, 11, 10, 11, 10, 8, 10, 10, 9, 10, 8, 3, 3, 4, 4, 4, 4, 8, 8, 8, 7, 7, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 6, 8, 12, 12, 12, 12, 12, 11, 10, 14, 14, 14, 13, 13, 14, 14, 12, 11, 11, 12, 12, 12, 12, 10, 5, 5, 5, 2, 2, 8, 7, 8, 6, 7, 5, 6, 5, 6, 5, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 10, 10, 8, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 8, 10, 10, 11, 10, 6, 9, 6, 5, 5, 7, 7, 10, 10, 8, 8, 7, 7, 7, 10, 10, 11, 11, 14, 14, 14, 12, 14, 15, 14, 16, 16, 16, 14, 14, 14, 11, 11, 14, 14, 14, 12, 11, 11, 11, 14, 14, 14, 12, 11, 11, 11, 11, 3, 3, 4, 4, 4, 4, 4, 6, 0, 1, 1, 2, 1, 1, 3, 3, 4, 4, 3, 3, 5, 5, 10, 9, 10, 9, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 5, 5, 11, 10, 11, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 13, 13, 2, 1, 2, 2, 1, 2, 13, 13, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 4, 4, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 3, 1, 2, 1, 0, 5, 2, 1, 4, 4, 6, 6, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 6, 6, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 3, 2, 2, 2, 0, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 0, 1, 2, 7, 2, 2, 2, 2, 2, 0, 1, 2, 9, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 9, 9, 0, 14, 14, 1, 1, 1, 1, 1, 1, 2, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 3, 1, 3, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 3, 1, 1, 1, 0, 1, 2, 5, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 3, 0, 0, 15, 15, 2, 15, 15, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0 ]
[ 589, 4450, 81, 10270, 26, 1855, 30, 963, 1515, 47, 2521, 30, 24070, 81, 8478, 47, 1815, 30, 6029, 2898, 47, 2521, 30, 7328, 347, 3310, 42, 10280, 284, 415, 646, 963, 1515, 44, 291, 3636, 12678, 440, 9085, 322, 2129, 330, 37904, 25, 11659, 2793, 7144, 284, 623, 2156, 26, 1855, 30, 313, 4506, 657, 619, 296, 44, 291, 1340, 280, 296, 32, 850, 922, 5460, 26, 8644, 27, 284, 2898, 280, 622, 81, 4189, 26, 1855, 30, 1340, 30, 2898, 47, 4189, 27, 284, 15521, 280, 3185, 26, 1855, 30, 1340, 30, 2898, 27, 284, 8839, 26, 1855, 30, 15521, 30, 2898, 30, 24070, 81, 8478, 47, 32650, 81, 8478, 30, 963, 1515, 47, 37904, 27, 284, 442, 4450, 81, 916, 26, 1855, 30, 15521, 30, 24070, 81, 8478, 47, 32650, 81, 8478, 30, 963, 1515, 47, 37904, 27, 203, 589, 3185, 26, 1855, 30, 1340, 30, 2898, 711, 284, 5430, 280, 1340, 32, 2998, 5528, 96, 657, 284, 15521, 280, 1605, 284, 1401, 81, 687, 280, 7730, 81, 878, 280, 1340, 81, 878, 280, 3330, 284, 415, 5430, 77, 34, 997, 15990, 4120, 19, 10280, 291, 5430, 32, 3235, 26, 34, 27, 284, 415, 2898, 1365, 426, 1446, 610, 313, 2958, 563, 291, 436, 11220, 3868, 30, 1628, 328, 10703, 26, 4446, 2867, 36, 10794, 324, 415, 316, 32, 1903, 26, 100, 25, 3205, 2867, 47, 10854, 101, 28, 2009, 15641, 105, 32, 6155, 7243, 5430, 77, 1800, 3868, 10794, 400, 5430, 32, 3235, 26, 1800, 3868, 27, 400, 1626, 284, 665, 4131, 26, 2180, 30, 1340, 711, 291, 415, 7730, 556, 1340, 44, 324, 15521, 32, 1689, 1371, 400, 313, 2180, 81, 878, 563, 7730, 30, 400, 313, 687, 81, 878, 563, 1340, 324, 1790, 284, 6959, 81, 928, 280, 3177, 284, 6959, 81, 928, 81, 286, 45919, 280, 428, 4189, 32, 371, 440, 7740, 427, 502, 2113, 2898, 32, 371, 440, 6844, 416, 3830, 284, 436, 1628, 328, 5430, 44, 291, 415, 1169, 26, 6844, 81, 928, 81, 286, 45919, 27, 461, 1346, 2009, 928, 32, 94, 7201, 922, 15990, 26, 34527, 27, 556, 1628, 32, 38848, 922, 20643, 26, 34527, 27, 436, 48221, 328, 6959, 81, 928, 81, 286, 45919, 10794, 324, 415, 646, 6959, 81, 928, 44, 400, 6959, 81, 928, 280, 2933, 324, 813, 44, 400, 6959, 81, 928, 280, 3177, 324, 415, 308, 6844, 81, 928, 3083, 461, 1628, 32, 7201, 922, 20643, 26, 4189, 32, 371, 440, 6844, 416, 2131, 3083, 461, 2069, 26, 928, 32, 7201, 1157, 848, 2069, 26, 4189, 32, 371, 440, 6844, 416, 2131, 711, 400, 6959, 81, 928, 280, 3177, 324, 1628, 280, 1628, 32, 3227, 26, 4189, 1365, 7740, 427, 502, 3439, 9142, 324, 1628, 280, 1628, 32, 3227, 26, 4189, 1365, 6844, 416, 3439, 9142, 324, 7730, 81, 878, 1454, 1628, 32, 7201, 346, 474, 3228, 96, 25, 324, 10525, 81, 2649, 280, 316, 32, 2872, 5528, 101, 37208, 1628, 547, 1363, 26, 34, 27, 324, 415, 1401, 81, 687, 461, 7730, 81, 878, 32, 7201, 2262, 400, 4131, 26, 2180, 81, 878, 30, 1340 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 2, 3, 4, 2, 2, 3, 5, 5, 5, 1, 1, 3, 4, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 8, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 6, 6, 10, 11, 10, 9, 8, 9, 8, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 6, 6, 2, 2, 5, 6, 5, 5, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 7, 6, 7, 5, 2, 2, 3, 5, 5, 5, 6, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 9, 8, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 7, 7, 6, 6, 2, 2, 3, 6, 7, 6, 6, 5, 7, 7, 3, 3, 7, 8, 7, 8, 7, 2, 2, 3, 5, 7, 7, 4, 4, 6, 6, 3, 3, 5, 7, 6, 6, 5, 5, 7, 9, 8, 10, 8, 5, 5, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 10, 11, 11, 10, 7, 7, 11, 12, 11, 12, 12, 11, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 5, 9, 10, 9, 10, 10, 13, 13, 13, 13, 11, 10, 10, 10, 13, 13, 13, 13, 11, 10, 10, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 5, 7, 8, 7, 9, 9, 9, 2, 2, 3, 3, 3, 3, 3, 3, 5, 8, 9, 9, 9, 9, 9, 9, 8, 6, 6, 8, 15, 14, 15, 15, 14, 13, 12, 13, 12, 10, 10, 14, 15, 14, 13, 12, 13, 12, 9, 10, 10, 10, 11, 11, 11, 11, 11, 9, 5, 5, 7, 8, 9, 9, 7, 7, 7, 11, 11, 10, 10, 7, 7, 8, 8, 8, 12, 12, 11, 11, 6, 6, 7, 11, 11, 11, 10, 10, 10, 14, 15, 14, 13, 12, 15, 14, 15, 14, 16, 16, 16, 9, 9, 9, 12, 15, 14, 15, 14, 10, 10, 12, 15, 14, 15, 14, 16, 16, 16, 8, 7, 7, 11, 11, 10, 10, 6, 6, 8, 8, 10, 11, 10, 12, 11, 13, 13, 13, 13, 10, 6, 6, 8, 8, 10, 11, 10, 12, 11, 13, 13, 13, 10, 6, 6, 9, 9, 8, 8, 11, 12, 11, 9, 9, 12, 11, 6, 6, 9, 9, 8, 8, 12, 13, 12, 14, 14, 12, 12, 11, 10, 11, 10, 6, 6, 7, 9, 9, 8, 8, 11, 11, 10, 11, 10, 7, 7, 11, 12, 12, 12, 11, 11 ]
[ 0, 0, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 7, 2, 2, 2, 9, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 0, 9, 2, 1, 4, 4, 5, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 0, 7, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 3, 0, 2, 0, 2, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 4, 0, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 3, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 4, 4, 5, 2, 1, 2, 2, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 8, 8, 8, 8, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 6, 0, 0, 1, 1, 0, 0, 0, 2, 1, 6, 6, 1, 1, 1, 1, 1, 1 ]
[ 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 32, 6849, 5646, 32, 3378, 1188, 22901, 1969, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 30, 1044, 33170, 81, 10629, 619, 617, 203, 823, 22901, 1637, 1241, 26, 8538, 32, 1243, 1241, 711, 284, 1984, 280, 10548, 32, 10851, 1176, 26, 1172, 11645, 440, 2413, 2113, 1769, 81, 1322, 47, 35, 34, 34, 30, 9667, 47, 100, 28249, 6448, 78, 105, 33, 8169, 112, 6155, 37143, 291, 3049, 81, 878, 280, 26155, 5297, 44, 3056, 7468, 33, 5546, 48083, 6400, 3654, 372, 1159, 15996, 20, 2855, 313, 461, 19938, 5439, 16670, 26551, 291, 1048, 81, 1436, 280, 26155, 2272, 786, 2298, 4799, 1755, 19400, 30, 7515, 2360, 3775, 313, 31117, 30, 45982, 7391, 30, 9499, 4279, 30, 5439, 16670, 556, 18903, 7196, 47136, 284, 443, 11985, 44, 291, 1542, 280, 22901, 1969, 284, 665, 5063, 81, 965, 26, 784, 711, 291, 1984, 280, 630, 32, 32854, 81, 605, 710, 965, 785, 291, 415, 646, 1984, 32, 15990, 3247, 7831, 324, 3636, 10548, 32, 24536, 26, 103, 33170, 440, 2413, 438, 5816, 312, 15996, 29659, 47136, 291, 415, 308, 3550, 32, 18472, 81, 3898, 7877, 461, 324, 330, 11025, 32, 11202, 32, 2282, 32, 5240, 11063, 25, 328, 4070, 32, 47589, 35291, 81, 36850, 461, 324, 646, 1984, 32, 20643, 3247, 41095, 324, 3636, 10548, 32, 24536, 26, 103, 33170, 440, 2413, 438, 5816, 312, 19938, 29659, 47136, 291, 442, 1984, 284, 665, 5063, 26, 784, 711, 291, 1984, 280, 630, 32, 32854, 81, 605, 32, 371, 463, 965, 370, 1665, 27, 291, 17289, 280, 630, 32, 32854, 81, 605, 32, 371, 463, 12095, 370, 1665, 27, 291, 2432, 81, 965, 280, 22901, 1969, 32, 5740, 32, 2029, 26, 965, 47, 965, 27, 291, 415, 630, 32, 2386, 32, 3174, 44, 324, 2432, 81, 965, 280, 2432, 81, 965, 32, 10444, 26, 3174, 47, 784, 32, 2386, 32, 3174, 27, 291, 415, 2432, 81, 965, 32, 2029, 26, 12095, 505, 266, 47, 12095, 547, 4658, 2262, 324, 436, 4755, 328, 17289, 44, 400, 415, 2432, 81, 965, 32, 2029, 26, 12095, 47, 2851, 547, 4658, 2262, 528, 3636, 10548, 32, 24536, 26, 715, 30121, 12416, 1637, 623, 1984, 18147, 965, 27, 101, 3425, 5375, 436, 4755, 18147, 2851, 27, 101, 25, 904, 3775, 5053, 965, 950, 1984, 30, 330, 2851, 950, 4755, 18364, 291, 442, 2599, 26, 12416, 1637, 1241, 30, 630, 547, 6008, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 7, 9, 11, 11, 6, 8, 8, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 6, 6, 8, 8, 7, 7, 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, 2, 2, 3, 3, 3, 3, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 7, 9, 9, 4, 4, 5, 6, 8, 9, 8, 10, 5, 5, 7, 9, 10, 9, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 4, 4, 5, 10, 9, 10, 10, 10, 10, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 11, 11, 11, 11, 7, 7, 7, 8, 10, 11, 10, 12, 5, 5, 7, 9, 10, 9, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 9, 10, 10, 10, 8, 9, 8, 10, 10, 8, 8, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 7, 6, 6, 10, 9, 10, 8, 9, 8, 10, 9, 10, 8, 4, 4, 5, 7, 8, 6, 7, 5, 5, 5, 9, 9, 8, 8, 11, 11, 10, 11, 10, 12, 11, 14, 13, 14, 12, 13, 10, 4, 4, 5, 10, 10, 9, 10, 9, 11, 11, 11, 10, 11, 9, 8, 7, 5, 5, 7, 7, 7, 7, 7, 7, 9, 14, 14, 13, 14, 13, 15, 14, 15, 13, 12, 11, 9, 9, 11, 13, 14, 13, 13, 13, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 16, 20, 20, 18, 17, 17, 20, 20, 18, 17, 4, 4, 5, 9, 10, 10, 10, 9, 9, 9, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 1, 6, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 3, 3, 0, 0, 0, 5, 5, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 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, 4, 4, 1, 1, 1, 1, 0, 0, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 3, 0, 2, 1, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 3, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5564, 203, 465, 2322, 203, 15052, 66, 81, 16583, 81, 9857, 280, 330, 15052, 66, 81, 4416, 16436, 203, 823, 570, 2983, 19146, 1512, 26, 2446, 32, 19146, 1512, 711, 334, 21496, 54, 280, 5564, 32, 1063, 32, 1792, 26, 397, 570, 16821, 81, 12434, 43695, 1057, 46756, 370, 397, 570, 16821, 81, 12434, 7267, 81, 6880, 1057, 2024, 81, 1515, 1279, 3754, 81, 4241, 81, 6177, 111, 1359, 1279, 3754, 81, 9492, 2319, 10047, 397, 570, 16821, 81, 4416, 81, 1977, 81, 1004, 1057, 109, 3754, 81, 7223, 32474, 81, 9292, 10047, 334, 829, 334, 665, 4000, 1222, 26, 784, 711, 284, 485, 2983, 81, 36644, 280, 5564, 32, 1819, 32, 4868, 463, 15052, 66, 81, 13078, 940, 683, 556, 4247, 284, 436, 1202, 30, 786, 328, 5564, 32, 1819, 32, 39509, 32, 3028, 2262, 397, 415, 1202, 32, 15990, 26, 15052, 66, 81, 16583, 81, 9857, 711, 291, 485, 2983, 81, 36644, 1454, 330, 904, 101, 6132, 101, 25, 904, 308, 678, 77, 1657, 26, 15052, 66, 81, 16583, 81, 9857, 711, 614, 786, 27, 284, 5564, 32, 1819, 710, 15052, 66, 81, 13078, 940, 785, 280, 485, 2983, 81, 36644, 32, 7201, 346, 284, 415, 5564, 32, 1819, 32, 10529, 2377, 225, 35, 44, 397, 1459, 5564, 32, 1819, 32, 23037, 11461, 463, 15052, 66, 81, 13078, 940, 280, 301, 15052, 66, 81, 13078, 940, 15837, 334, 665, 20920, 26, 784, 711, 284, 415, 5564, 32, 1819, 32, 10529, 2377, 225, 35, 44, 397, 1459, 5564, 32, 1819, 32, 23037, 11461, 463, 6343, 40474, 485, 2983, 623, 301, 15052, 66, 81, 12434, 7267, 81, 6880, 15837, 284, 5564, 32, 3663, 32, 7083, 26, 291, 8930, 3754, 81, 12784, 3188, 1832, 33, 24523, 81, 27275, 370, 291, 11363, 6299, 1279, 3754, 81, 12784, 10047, 291, 11363, 1553, 25, 284, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 7, 8, 6, 7, 6, 6, 6, 8, 8, 8, 8, 7, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 7, 7, 4, 4, 5, 6, 6, 5, 5, 9, 10, 8, 9, 7, 8, 7, 5, 5, 7, 9, 10, 9, 10, 10, 10, 10, 10, 10, 9, 7, 7, 11, 11, 11, 10, 10, 13, 13, 13, 13, 13, 11, 11, 14, 13, 16, 16, 17, 17, 17, 17, 17, 17, 16, 13, 12, 12, 4, 4, 8, 9, 7, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 8, 9, 8, 4, 4, 5, 8, 9, 7, 8, 6, 6, 7, 5, 5, 5, 7, 10, 11, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 6, 6, 7, 5, 5, 5, 7, 10, 11, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 8, 9, 7, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 3, 3, 1, 1, 1, 2, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 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, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 3, 0, 2, 0, 2, 1, 1, 2, 3, 3, 3, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 1542, 81, 29635, 32, 3378, 1188, 1979, 203, 823, 34274, 723, 8518, 45788, 4470, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1311, 280, 1979, 32, 5740, 32, 1297, 26, 1311, 1057, 16071, 36503, 683, 284, 665, 894, 81, 29635, 81, 10513, 81, 426, 26, 784, 711, 291, 645, 1542, 81, 29635, 32, 3378, 1188, 2389, 291, 630, 32, 5299, 26, 324, 630, 32, 1311, 32, 32947, 81, 1160, 81, 29635, 81, 2991, 81, 470, 32, 1297, 26, 400, 1795, 1057, 5126, 398, 544, 676, 35, 10063, 50, 370, 400, 1984, 1057, 525, 555, 104, 35, 481, 1691, 32, 508, 13093, 400, 1780, 1057, 72, 35, 481, 1691, 438, 38483, 370, 324, 2588, 2389, 32, 5740, 32, 371, 26, 1286, 1057, 5126, 398, 544, 676, 35, 10063, 50, 2847, 284, 665, 894, 81, 29635, 81, 1793, 81, 8786, 81, 1160, 81, 426, 26, 784, 711, 291, 645, 1542, 81, 29635, 81, 8786, 81, 1160, 81, 426, 32, 3378, 1188, 2389, 291, 630, 32, 5299, 26, 324, 630, 32, 1311, 32, 32947, 81, 1160, 81, 29635, 81, 8786, 81, 1160, 81, 426, 81, 2991, 81, 470, 32, 1297, 26, 400, 1795, 1057, 1318, 3704, 8361, 436, 1292, 39564, 3045, 623, 13521, 4446, 6418, 400, 1984, 1057, 525, 555, 1499, 32, 11025, 2250, 32, 508, 13093, 400, 1780, 1057, 36115, 559, 27011, 25, 324, 2588, 2389, 32, 5740, 32, 371, 26, 1286, 1057, 1318, 3704, 8361, 436, 1292, 39564, 3045, 623, 13521, 4446, 32, 2847, 284, 665, 894, 81, 10513, 81, 426, 81, 4890, 81, 4658, 26, 784, 711, 291, 630, 32, 5299, 26, 2040, 2437, 26, 784, 32, 1311, 30, 330, 32947, 16335, 26, 725, 81, 1172, 27, 101, 16335, 26, 823, 27, 101, 81, 470, 1425, 3177, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 10, 8, 9, 8, 10, 9, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 6, 7, 5, 5, 4, 4, 7, 8, 7, 7, 7, 11, 12, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 10, 9, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 9, 9, 7, 10, 11, 9, 10, 9, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 5, 5, 4, 4, 7, 8, 7, 7, 7, 11, 12, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 10, 9, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 9, 9, 7, 10, 11, 9, 10, 9, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 11, 10, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 4, 4, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 4, 4, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 803, 1131, 203, 465, 5237, 203, 465, 1344, 4071, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 5430, 280, 1605, 284, 4740, 280, 1605, 284, 436, 1628, 328, 803, 1131, 32, 1131, 2262, 291, 1628, 280, 1628, 32, 7201, 346, 291, 415, 1628, 32, 15990, 24516, 7831, 324, 415, 2069, 26, 13578, 711, 400, 5430, 32, 1689, 26, 313, 4939, 2524, 26, 13578, 490, 324, 4740, 280, 428, 928, 79, 291, 813, 44, 324, 4740, 32, 1689, 26, 928, 27, 284, 415, 2069, 26, 13578, 711, 291, 5430, 32, 1689, 26, 313, 4939, 2524, 26, 13578, 490, 284, 5237, 32, 21633, 32, 14408, 26, 34, 27, 284, 415, 5237, 32, 21633, 32, 33232, 8532, 34, 997, 7201, 346, 610, 34863, 291, 1459, 3330, 284, 436, 1628, 328, 8594, 26, 4446, 30, 1202, 47, 5962, 309, 44, 309, 32, 5729, 22805, 291, 415, 1628, 32, 7201, 346, 610, 34863, 324, 4036, 291, 16283, 280, 1344, 4071, 32, 4071, 26, 928, 30, 225, 41, 43, 27, 291, 1459, 16283, 77, 34, 79, 291, 10525, 318, 280, 313, 4939, 2524, 2009, 101, 32, 7201, 346, 436, 309, 328, 16283, 77, 35, 10056, 1130, 291, 436, 6233, 482, 328, 1344, 4071, 32, 4071, 26, 9378, 318, 30, 225, 41, 43, 31, 38, 711, 324, 1459, 313, 264, 313, 474, 6233, 482, 284, 5237, 32, 21633, 32, 14408, 26, 34, 27, 284, 415, 5237, 32, 21633, 32, 33232, 346, 6448, 35, 997, 7201, 346, 610, 34863, 291, 1459, 3330, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 3, 3, 3, 6, 5, 6, 5, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 7, 8, 7, 9, 5, 5, 7, 9, 10, 9, 7, 7, 11, 12, 11, 11, 15, 14, 13, 14, 13, 6, 6, 8, 8, 10, 9, 5, 5, 6, 6, 6, 10, 11, 10, 11, 10, 2, 2, 3, 5, 6, 5, 3, 3, 7, 8, 7, 7, 11, 10, 9, 10, 9, 2, 2, 6, 7, 5, 6, 5, 6, 5, 2, 2, 3, 10, 11, 9, 10, 9, 8, 7, 7, 6, 4, 4, 3, 3, 5, 2, 2, 3, 3, 3, 5, 6, 5, 5, 6, 7, 7, 7, 7, 9, 10, 9, 3, 3, 5, 8, 9, 8, 6, 6, 5, 5, 4, 4, 6, 6, 9, 8, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 5, 6, 7, 6, 4, 4, 7, 6, 6, 10, 9, 8, 12, 11, 12, 11, 9, 10, 10, 10, 11, 13, 12, 9, 4, 4, 5, 6, 5, 5, 8, 7, 8, 7, 8, 8, 7, 7, 9, 9, 8, 9, 7, 5, 5, 7, 10, 10, 8, 8, 9, 2, 2, 6, 7, 5, 6, 5, 6, 5, 2, 2, 3, 10, 11, 9, 10, 9, 7, 9, 7, 7, 6, 4, 4, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 5, 5, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 1, 2, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 3, 3, 5, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 5, 5, 0, 3, 3, 6, 6, 6, 1, 1, 1, 1, 3, 2, 2, 2, 2, 0, 2, 1, 6, 6, 0, 0, 2, 1, 1, 1, 0, 0, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 2, 1, 2, 1, 5, 5, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 3, 0, 2, 1, 5, 5, 4, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 3, 3, 8, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 27374, 203, 1070, 8527, 32, 1199, 1188, 4549, 30, 6141, 203, 823, 22509, 1711, 37081, 26, 3378, 32, 1572, 711, 284, 443, 11985, 44, 291, 5547, 280, 2933, 284, 665, 2290, 81, 464, 26, 784, 30, 11246, 81, 1132, 47, 2521, 30, 1115, 5321, 711, 291, 442, 630, 32, 2029, 26, 1141, 47, 784, 32, 8750, 30, 1115, 5321, 547, 10444, 14605, 26, 10444, 81, 1132, 556, 2149, 490, 10065, 665, 2290, 81, 2232, 26, 784, 30, 11246, 81, 1132, 47, 2521, 30, 1115, 5321, 711, 291, 4684, 280, 630, 32, 1809, 81, 464, 26, 10444, 81, 1132, 47, 10444, 81, 1132, 30, 1115, 5321, 27, 291, 415, 2069, 26, 5740, 27, 610, 225, 34, 44, 324, 3636, 22509, 1711, 1078, 1097, 27981, 26, 400, 313, 2023, 3414, 2431, 436, 2125, 301, 1141, 111, 623, 2761, 301, 2029, 835, 49074, 301, 10444, 16054, 1643, 26, 528, 2125, 47, 784, 32, 8750, 30, 261, 528, 2761, 47, 5321, 30, 528, 11246, 47, 10444, 81, 1132, 30, 400, 9658, 291, 813, 44, 324, 442, 4684, 77, 34, 79, 284, 665, 3066, 26, 784, 30, 3414, 81, 314, 711, 291, 630, 32, 2029, 26, 314, 47, 3038, 81, 314, 547, 2560, 346, 203, 823, 22509, 1711, 2284, 37081, 26, 13018, 1711, 37081, 711, 284, 477, 6554, 32, 3375, 81, 267, 81, 3127, 284, 665, 1974, 81, 1293, 26, 324, 630, 30, 8419, 81, 678, 30, 537, 81, 1293, 30, 1395, 81, 2751, 47, 1815, 30, 1474, 20706, 1256, 47, 2521, 30, 2608, 81, 1206, 81, 6264, 47, 2700, 30, 1115, 5321, 284, 8063, 291, 1603, 81, 1473, 30, 3272, 280, 630, 32, 371, 81, 271, 81, 1297, 26, 7632, 81, 678, 47, 7632, 81, 678, 30, 2125, 47, 784, 32, 8750, 27, 16189, 415, 3272, 44, 324, 415, 2608, 81, 1206, 81, 6264, 44, 400, 1603, 81, 1473, 32, 4524, 81, 496, 280, 1256, 324, 813, 44, 400, 3636, 22509, 1711, 1078, 1097, 27981, 26, 528, 313, 11394, 1974, 2979, 31, 29801, 3414, 436, 8419, 81, 678, 301, 7632, 81, 678, 111, 461, 2125, 301, 1141, 16054, 1643, 26, 715, 2125, 47, 784, 32, 8750, 30, 261, 715, 8419, 81, 678, 47, 7632, 81, 678, 30, 528, 9658, 291, 415, 1256, 44, 324, 1603, 81, 1473, 32, 6368, 81, 496, 280, 1256, 291, 1603, 81, 1473, 32, 1293, 280, 537, 81, 1293, 291, 1603, 81, 1473, 32, 3163, 81, 2751, 280, 1395, 81, 2751, 291, 1603, 81, 1473, 32, 1436, 280, 1474, 291, 415, 10306, 44, 324, 436, 1202, 30, 786, 328, 10306, 32, 40957, 2262, 400, 39506, 26, 1293, 81, 1473, 30, 1202, 30, 786, 27, 291, 1603, 81, 1473, 32, 2853, 346, 291, 442, 1603, 81, 1473, 284, 665, 1974, 81, 3163, 81, 2751, 26, 784, 30, 3414, 81, 314, 30, 1256, 30, 1395, 81, 2751, 711, 291, 442, 630, 32, 1877, 26, 314, 47, 3038, 81, 314, 30, 4459, 81, 496, 47, 496, 30, 1395, 81, 2751, 47, 3163, 81, 2751, 27, 203, 823, 22509, 68, 265, 311, 2284, 37081, 26, 13018, 1711, 2284, 37081, 711, 284, 8301, 280, 313, 21785 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 3, 3, 3, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 4, 3, 3, 5, 9, 10, 9, 11, 10, 12, 11, 12, 9, 9, 11, 9, 8, 7, 9, 11, 11, 11, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 9, 10, 10, 10, 8, 8, 10, 8, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 11, 11, 12, 14, 13, 14, 11, 11, 11, 11, 12, 13, 11, 11, 11, 12, 13, 13, 13, 11, 11, 11, 5, 5, 6, 6, 6, 8, 9, 10, 9, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 9, 11, 10, 11, 11, 11, 9, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 6, 5, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 7, 7, 6, 7, 5, 5, 6, 5, 6, 7, 5, 5, 7, 7, 7, 7, 6, 7, 5, 5, 7, 5, 5, 4, 4, 9, 9, 8, 8, 7, 7, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 10, 11, 11, 11, 9, 9, 10, 12, 11, 12, 9, 5, 5, 6, 6, 6, 6, 8, 9, 9, 9, 9, 8, 8, 8, 13, 13, 12, 13, 13, 13, 11, 11, 8, 8, 9, 9, 9, 11, 13, 13, 13, 13, 13, 13, 13, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 15, 15, 15, 16, 18, 17, 18, 15, 15, 15, 15, 17, 17, 16, 17, 17, 17, 15, 15, 15, 5, 5, 6, 6, 6, 6, 11, 11, 10, 11, 11, 11, 9, 9, 5, 5, 9, 9, 8, 9, 7, 7, 8, 8, 5, 5, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 9, 9, 8, 9, 7, 7, 5, 5, 6, 6, 6, 6, 8, 9, 9, 8, 8, 10, 11, 10, 8, 8, 12, 13, 13, 13, 12, 12, 12, 12, 12, 5, 5, 9, 9, 8, 9, 8, 5, 5, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 8, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 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, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 2, 1, 4, 4, 3, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 3, 3, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 2, 9, 2, 11, 2, 2, 2, 0, 0, 0, 0, 13, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 4, 4, 6, 6, 6, 6, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 8, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 7, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1 ]
[ 465, 5237, 203, 465, 298, 1269, 404, 203, 1070, 13625, 1188, 18609, 203, 325, 2069, 26, 3731, 32, 6118, 27, 333, 225, 36, 44, 284, 5237, 32, 4775, 440, 8795, 44, 743, 96, 4597, 32, 978, 328, 32, 28821, 657, 203, 10555, 280, 5237, 32, 6118, 77, 35, 79, 203, 2816, 280, 313, 4506, 20, 415, 18146, 32, 20643, 5791, 28821, 657, 813, 313, 100, 20, 203, 28821, 761, 280, 298, 1269, 404, 32, 7751, 974, 26, 10555, 30, 2926, 27, 203, 5136, 280, 18609, 346, 203, 979, 1491, 328, 323, 404, 761, 44, 284, 8616, 1365, 2999, 1446, 1454, 225, 35, 284, 8616, 710, 99, 2161, 607, 785, 1454, 629, 26, 850, 32, 297, 81, 99, 2161, 607, 27, 284, 8616, 710, 41376, 785, 1454, 629, 26, 850, 32, 297, 81, 41376, 27, 284, 8616, 710, 850, 35, 785, 1454, 629, 26, 850, 32, 297, 81, 850, 35, 27, 284, 8616, 710, 850, 36, 785, 1454, 629, 26, 850, 32, 297, 81, 850, 36, 27, 284, 415, 1491, 32, 297, 81, 311, 19943, 44, 291, 8616, 710, 311, 19943, 785, 1454, 225, 35, 291, 4036, 3701, 8616, 1365, 9387, 13090, 2511, 225, 37, 34, 1446, 1454, 629, 26, 850, 32, 9387, 81, 13730, 2511, 225, 37, 34, 27, 284, 8616, 710, 19943, 785, 1454, 225, 35, 284, 8616, 710, 35725, 6092, 785, 1454, 629, 26, 850, 32, 297, 81, 35725, 81, 5210, 27, 203, 2024, 81, 1174, 280, 2884, 2999, 392, 313, 19943, 392, 313, 311, 19943, 392, 313, 41376, 392, 400, 313, 850, 35, 392, 313, 850, 36, 392, 313, 35725, 6092, 392, 313, 99, 2161, 607, 392, 400, 313, 9387, 13090, 2511, 225, 37, 34, 657, 203, 979, 1202, 328, 1688, 81, 1174, 44, 284, 2179, 81, 1132, 280, 308, 678, 30, 8616, 77, 678, 614, 225, 35, 34, 34, 28, 5136, 77, 678, 11491, 1808, 26, 5136, 1365, 2999, 23821, 284, 5237, 32, 9362, 32, 1821, 4912, 101, 44, 904, 86, 10027, 34, 32, 36, 88, 1784, 5421, 96, 20, 904, 2179, 81, 1132, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 4, 6, 5, 6, 4, 2, 2, 3, 1, 1, 1, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 2, 2, 4, 5, 3, 4, 3, 0, 3, 2, 2, 5, 5, 3, 3, 5, 6, 5, 7, 7, 3, 3, 5, 5, 0, 3, 3, 2, 2, 5, 5, 4, 5, 5, 4, 5, 4, 4, 4, 0, 3, 2, 2, 4, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 5, 7, 7, 4, 4, 5, 2, 2, 5, 7, 7, 7, 7, 4, 4, 6, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 5, 7, 7, 4, 4, 6, 8, 7, 8, 8, 8, 6, 2, 2, 5, 7, 7, 7, 4, 4, 6, 8, 7, 8, 8, 8, 8, 6, 2, 2, 5, 7, 7, 7, 4, 4, 6, 8, 7, 8, 8, 8, 8, 6, 2, 2, 3, 4, 5, 5, 5, 5, 3, 3, 3, 7, 9, 9, 9, 6, 6, 7, 4, 4, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 9, 8, 9, 9, 9, 7, 7, 8, 8, 6, 2, 2, 5, 7, 7, 4, 4, 5, 2, 2, 5, 7, 7, 7, 4, 4, 6, 8, 7, 8, 8, 8, 8, 8, 6, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 5, 5, 4, 4, 6, 5, 5, 6, 7, 6, 5, 8, 8, 8, 7, 9, 8, 9, 8, 8, 8, 10, 9, 11, 11, 2, 2, 6, 7, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 6, 6, 7, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 1, 0, 1, 2, 1, 1, 1, 2, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 8, 8, 8, 8, 3, 3, 8, 8, 8, 0, 1, 2, 0, 0, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 5, 5, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 5, 5, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 5, 5, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 5, 5, 5, 1, 2, 2, 2, 2, 5, 5, 5, 0, 1, 1, 2, 0, 0, 2, 3, 3, 5, 5, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 5, 5, 0, 1, 2, 0, 0, 2, 5, 5, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 10, 10, 3, 3, 10, 10, 10, 0, 0, 0, 0, 1, 2, 2, 3, 2, 3, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2322, 32, 983, 203, 465, 5237, 203, 465, 5592, 32, 25882, 32, 2832, 269, 203, 465, 6350, 203, 589, 1477, 81, 2543, 26, 426, 30, 11758, 30, 4870, 711, 284, 415, 636, 610, 313, 2816, 563, 291, 2467, 81, 426, 280, 11758, 710, 426, 785, 291, 14173, 81, 979, 81, 13504, 26, 3607, 30, 2467, 81, 426, 27, 203, 589, 11638, 81, 2543, 26, 426, 711, 284, 3097, 203, 589, 14173, 81, 979, 81, 13504, 26, 3607, 30, 2467, 81, 426, 711, 284, 4774, 280, 313, 23455, 429, 100, 904, 101, 319, 523, 14173, 429, 104, 5608, 2593, 25, 523, 22318, 429, 94, 20, 766, 324, 904, 2467, 81, 426, 284, 308, 1517, 30, 1688, 27, 280, 6350, 32, 371, 1517, 2024, 26, 3515, 27, 284, 24173, 280, 629, 26, 2024, 27, 284, 1654, 280, 2156, 440, 3985, 81, 17439, 392, 313, 83, 657, 284, 15649, 280, 2156, 440, 12085, 81, 17439, 392, 313, 83, 657, 284, 415, 24173, 610, 225, 34, 44, 291, 1459, 440, 225, 1683, 3985, 2467, 44, 904, 101, 20, 904, 2467, 81, 426, 27, 291, 15649, 32, 1821, 26, 3607, 474, 17021, 474, 2467, 81, 426, 474, 2706, 96, 657, 284, 813, 44, 291, 1654, 32, 1821, 26, 3607, 474, 17021, 474, 2467, 81, 426, 474, 2706, 96, 657, 284, 1654, 32, 2679, 346, 284, 15649, 32, 2679, 346, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 24390, 280, 2322, 32, 33115, 346, 284, 2276, 280, 5237, 32, 6118, 77, 35, 10056, 284, 436, 4870, 328, 2276, 44, 291, 1459, 440, 2374, 10137, 904, 101, 20, 904, 4870, 27, 291, 296, 280, 2156, 26, 3607, 30, 330, 100, 683, 291, 298, 280, 5592, 32, 25882, 32, 2832, 269, 32, 2825, 1922, 346, 291, 298, 32, 2130, 1308, 1972, 280, 9254, 816, 30, 533, 44, 1477, 81, 2543, 26, 106, 30, 533, 30, 2322, 32, 983, 32, 15705, 26, 3607, 490, 291, 298, 32, 2102, 1308, 1972, 280, 11638, 81, 2543, 291, 298, 32, 6881, 750, 1972, 280, 11638, 81, 2543, 291, 298, 32, 4480, 26, 88, 32, 850, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 6, 6, 3, 3, 7, 7, 6, 6, 7, 9, 9, 4, 4, 7, 7, 7, 7, 7, 8, 7, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 5, 5, 6, 6, 2, 2, 6, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 8, 8, 8, 8, 6, 8, 8, 2, 2, 4, 4, 6, 8, 8, 8, 8, 6, 8, 8, 2, 2, 3, 4, 4, 5, 3, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 7, 4, 4, 7, 8, 7, 11, 10, 10, 9, 9, 10, 10, 8, 8, 11, 10, 3, 3, 4, 4, 4, 8, 9, 8, 12, 11, 11, 10, 10, 11, 11, 9, 9, 12, 11, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 5, 7, 6, 2, 2, 3, 3, 3, 3, 3, 3, 7, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 6, 6, 8, 9, 8, 8, 10, 10, 4, 4, 6, 6, 10, 11, 9, 10, 10, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 8, 7, 7, 9, 9, 9, 10, 9, 9, 9, 9, 12, 13, 11, 12, 11, 12, 11, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 0, 4, 4, 0, 5, 5, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 3, 3, 4, 4, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 5, 1, 1, 2, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 5, 5, 4, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 0, 8, 8, 0, 0, 1, 1, 1, 1, 8, 8, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 2, 2, 0, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 5, 5, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 5, 5, 0, 2, 2, 2, 0, 0, 2, 2, 5, 5, 0, 2, 2, 2, 0, 0, 2, 2, 5, 5, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 465, 296, 21594, 203, 465, 296, 21594, 32, 4266, 619, 6325, 203, 589, 12847, 81, 731, 26, 327, 30, 3616, 30, 5127, 30, 2803, 711, 284, 5127, 32, 1517, 280, 296, 21594, 32, 5068, 81, 41, 36, 37, 284, 5127, 32, 1548, 280, 330, 731, 44, 904, 101, 25, 904, 596, 26, 327, 27, 203, 589, 2887, 81, 731, 81, 2232, 26, 327, 30, 3616, 30, 5127, 30, 2803, 711, 284, 5127, 32, 1517, 280, 296, 21594, 32, 5068, 81, 36, 34, 34, 284, 5127, 32, 1548, 280, 330, 2232, 1048, 4899, 25, 203, 823, 6028, 1761, 984, 26, 984, 711, 284, 3097, 203, 823, 6028, 984, 26, 3402, 1761, 984, 711, 284, 477, 16099, 284, 665, 2887, 26, 327, 30, 3616, 30, 5127, 30, 2803, 711, 291, 3636, 296, 21594, 32, 39145, 26, 324, 296, 21594, 32, 5068, 81, 41, 43, 36, 30, 324, 1044, 25, 21104, 5564, 22263, 20040, 324, 1044, 25, 53, 401, 37017, 833, 295, 20023, 1692, 370, 324, 976, 47, 103, 25, 525, 555, 2763, 32, 508, 33, 1237, 33, 266, 468, 2465, 1606, 31, 22390, 370, 324, 976, 81, 878, 47, 103, 25, 13273, 728, 30, 323, 17156, 9201, 728, 22735, 203, 823, 18080, 30074, 1339, 2291, 26, 1473, 711, 284, 665, 544, 81, 371, 26, 784, 30, 3616, 30, 5127, 711, 291, 3636, 3268, 463, 18727, 3268, 683, 284, 665, 544, 81, 1816, 26, 784, 30, 3616, 30, 5127, 711, 291, 3636, 6028, 1761, 984, 463, 3402, 1761, 984, 683, 284, 665, 544, 81, 2560, 26, 784, 30, 3616, 30, 5127, 711, 291, 3636, 6028, 984, 463, 3402, 984, 683, 203, 823, 2108, 26819, 26, 4266, 32, 35506, 711, 284, 665, 894, 81, 27468, 81, 731, 26, 784, 711, 291, 630, 32, 1237, 32, 669, 81, 731, 81, 4531, 26, 984, 30, 12847, 81, 731, 27, 291, 630, 32, 1237, 32, 669, 81, 4351, 26, 784, 32, 858, 81, 4351, 30, 18080, 30074, 1339, 2291, 1157, 291, 3361, 280, 630, 32, 29766, 81, 1357, 26, 784, 32, 858, 81, 4351, 27, 291, 630, 32, 5299, 2009, 84, 25, 731, 44, 37238, 3268, 2188, 3361, 27, 291, 3361, 280, 630, 32, 29766, 81, 1357, 26, 784, 32, 858, 81, 4351, 30, 1411, 1057, 6896, 683, 291, 630, 32, 5299, 26, 88, 21594, 32, 5068, 81, 41, 36, 37, 30, 630, 32, 6858, 3613, 32, 1517, 27, 291, 630, 32, 5299, 25619, 3361, 27, 284, 665, 894, 81, 956, 83, 10311, 81, 731, 26, 784, 711, 291, 630, 32, 1237, 32, 669, 81, 731, 81, 4531, 26, 3402, 984, 30, 12847, 81, 731, 27, 291, 630, 32, 1237, 32, 669, 81, 4351, 26, 784, 32, 858, 81, 4351, 30, 18080, 30074, 1339, 2291, 1157, 291, 630, 32, 23895, 26, 984, 30, 3775, 630, 32, 29766, 81, 1357, 30, 630, 32, 858, 81, 4351, 27, 284, 665, 894, 81, 956, 83, 10311, 81, 731, 81, 1824, 26, 784, 711, 291, 630, 32, 1237, 32, 669, 81, 4351, 26, 784, 32, 858, 81, 4351, 30, 18080, 30074, 1339, 2291, 1157, 291, 630, 32, 23895, 26, 984 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 6, 4, 4, 6, 5, 6, 6, 6, 6, 6, 2, 2, 5, 6, 4, 4, 7, 7, 7, 7, 7, 5, 5, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 6, 4, 4, 6, 5, 6, 6, 6, 6, 6, 2, 2, 5, 6, 4, 4, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 9, 8, 9, 8, 8, 8, 10, 9, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 7, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 7, 9, 9, 9, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 11, 11, 4, 4, 7, 8, 7, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 9, 10, 10, 8, 9, 7, 4, 4, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 8, 8, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 7, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 3, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 1, 1, 2, 6, 6, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 9, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 8, 8, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 2, 4, 4, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1 ]
[ 465, 1360, 203, 1070, 3619, 1902, 81, 22450, 1188, 6779, 203, 465, 3619, 1902, 86, 81, 32607, 81, 5707, 203, 465, 5237, 203, 465, 27374, 203, 465, 3738, 203, 2576, 81, 2897, 280, 225, 34, 203, 10729, 35, 280, 225, 35, 203, 10729, 36, 280, 225, 36, 203, 2897, 280, 4435, 81, 2897, 203, 589, 2866, 2740, 1132, 711, 284, 537, 81, 9980, 280, 1605, 284, 436, 312, 328, 2181, 44, 291, 537, 81, 9980, 32, 1689, 26, 466, 26, 83, 490, 284, 3124, 280, 330, 5608, 2524, 26, 890, 81, 9980, 27, 284, 5237, 32, 9362, 32, 1821, 15339, 101, 78, 96, 25, 904, 308, 2076, 33702, 203, 589, 2866, 81, 530, 2740, 1132, 711, 284, 537, 81, 9980, 280, 1605, 284, 436, 312, 328, 2181, 44, 291, 537, 81, 9980, 32, 1689, 26, 466, 26, 83, 490, 284, 3124, 280, 330, 5608, 2524, 26, 890, 81, 9980, 27, 284, 5237, 32, 8228, 32, 1821, 463, 978, 1902, 25876, 44, 904, 101, 78, 96, 25, 904, 308, 2076, 33702, 203, 589, 11748, 81, 1338, 34, 2740, 1132, 711, 284, 2866, 81, 530, 2740, 1132, 27, 203, 589, 11748, 81, 1338, 2740, 1132, 711, 284, 415, 9399, 2377, 11801, 9703, 35, 44, 291, 2866, 2740, 1132, 27, 203, 589, 11748, 81, 1338, 36, 2740, 1132, 711, 284, 415, 9399, 2377, 11801, 9703, 36, 44, 291, 2866, 2740, 1132, 27, 203, 589, 11748, 81, 731, 2740, 1132, 711, 284, 2866, 81, 530, 2740, 1132, 27, 203, 589, 1340, 81, 5740, 81, 2228, 26, 687, 34, 30, 1340, 35, 711, 284, 436, 343, 328, 4921, 26, 687, 34, 711, 291, 415, 343, 32, 15990, 14728, 683, 556, 330, 12300, 25, 328, 343, 44, 324, 4036, 291, 415, 18623, 26, 687, 34, 30, 343, 27, 863, 18623, 26, 687, 35, 30, 343, 711, 324, 442, 3177, 284, 442, 2933, 203, 589, 816, 13068, 26, 1803, 711, 284, 540, 280, 902, 944, 26, 1803, 27, 284, 540, 32, 4699, 346, 284, 2431, 81, 2342, 280, 540, 32, 6264, 81, 2342, 284, 540, 280, 1665, 284, 3619, 1902, 86, 81, 32607, 81, 5707, 32, 3815, 81, 5707, 81, 2029, 81, 2613, 346, 284, 442, 2431, 81, 2342, 203, 823, 902, 944, 44, 284, 665, 1156, 1664, 3207, 784, 30, 2047, 711, 291, 630, 32, 1803, 280, 2047, 291, 630, 32, 6264, 81, 2342, 280, 3177, 284, 665, 4871, 26, 784, 711, 291, 2047, 280, 630, 32, 1803, 291, 630, 1114, 267, 81, 11333, 81, 18931, 280, 1605, 291, 1596, 44, 324, 2047, 426, 280, 2047, 3667, 426, 505, 324, 2047, 2425, 280, 2047, 3667, 2665, 505, 324, 595, 280, 2047, 426, 32, 100, 1809, 46661, 324, 415, 595, 2377, 225, 34, 44, 400, 12870, 426, 30, 2047, 426, 280, 2047, 426, 2867, 91, 614, 2047, 426, 77, 91, 474, 225, 35, 10056, 324, 813, 44, 400, 12870, 426, 280, 1665, 324, 415, 12870, 426, 44, 400, 12870, 280, 5237, 32, 3477, 77, 4652, 426, 79, 400, 1519, 280, 12870, 3667, 983, 505, 23688, 813, 44, 400, 12870, 280, 1665, 400, 1519, 280, 1665, 23688, 308, 2238, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 3, 0, 1, 1, 2, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 8, 8, 7, 8, 7, 9, 9, 10, 9, 2, 2, 4, 4, 8, 7, 6, 7, 7, 7, 6, 2, 2, 6, 7, 5, 6, 5, 8, 9, 9, 8, 6, 6, 8, 7, 0, 1, 1, 2, 2, 2, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 8, 8, 7, 8, 7, 9, 9, 10, 9, 2, 2, 4, 4, 8, 7, 6, 7, 7, 7, 6, 2, 2, 6, 7, 5, 6, 5, 8, 8, 8, 8, 8, 8, 9, 9, 8, 6, 6, 8, 7, 0, 1, 1, 2, 2, 2, 2, 4, 2, 1, 1, 5, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 4, 2, 1, 1, 3, 4, 4, 5, 5, 3, 3, 3, 7, 9, 7, 0, 1, 1, 2, 2, 2, 2, 4, 2, 1, 1, 3, 4, 4, 5, 5, 3, 3, 3, 7, 9, 7, 0, 1, 1, 2, 2, 2, 4, 2, 1, 1, 5, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 6, 6, 5, 3, 3, 5, 8, 9, 8, 10, 6, 6, 9, 9, 7, 7, 5, 5, 5, 4, 4, 5, 8, 9, 9, 8, 8, 8, 6, 6, 8, 9, 9, 8, 8, 8, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 7, 6, 2, 2, 5, 6, 5, 2, 2, 5, 5, 4, 4, 5, 6, 6, 6, 2, 2, 4, 4, 2, 2, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 5, 5, 5, 9, 8, 8, 9, 10, 10, 6, 6, 9, 8, 8, 9, 10, 10, 6, 6, 8, 8, 11, 10, 11, 11, 10, 6, 6, 7, 8, 8, 9, 7, 7, 7, 12, 11, 11, 12, 10, 10, 13, 12, 14, 12, 11, 13, 12, 15, 14, 14, 15, 13, 7, 7, 8, 8, 8, 12, 11, 11, 6, 6, 7, 8, 7, 7, 7, 10, 10, 12, 13, 11, 12, 12, 11, 8, 8, 10, 10, 11, 12, 12, 7, 7, 8, 8, 8, 11, 11, 9, 9, 11, 11, 6, 6, 10, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 10, 10, 2, 1, 2, 10, 10, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 12, 12, 1, 1, 1, 2, 1, 2, 12, 12, 0, 0, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 14, 14, 1, 1, 1, 2, 1, 2, 14, 14, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 0, 1, 1, 1, 0, 16, 16, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 16, 16, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 1, 0, 17, 17, 1, 2, 1, 2, 17, 17, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 5, 1, 1, 0, 18, 18, 1, 18, 18, 18, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 3, 3, 4, 4, 4, 0, 0, 0, 2, 2, 4, 1, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 4, 4, 4, 4, 4, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0 ]
[ 1070, 1869, 459, 1188, 319, 203, 823, 4354, 12200, 504, 651, 26, 8312, 4045, 711, 284, 25060, 280, 313, 641, 555, 933, 32, 508, 33, 94, 777, 1269, 108, 13478, 33, 12200, 83, 1284, 20, 284, 1984, 647, 280, 313, 641, 555, 21969, 32, 716, 33, 5043, 33, 1855, 33, 56, 33, 12200, 83, 1284, 33, 12200, 83, 1284, 31, 34, 32, 35, 35, 899, 41, 32, 5366, 32, 6680, 20, 284, 1503, 463, 34, 32, 35, 35, 899, 41, 370, 330, 42, 42, 36, 85, 43, 41, 37, 86, 43, 40, 42, 86, 43, 1199, 39, 43, 40, 318, 2995, 34, 30510, 34, 41, 87, 37, 83, 42, 683, 284, 12428, 81, 267, 463, 978, 31, 43764, 370, 827, 1057, 1832, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 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, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 7, 7, 7, 7, 5, 6, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 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 ]
[ 1070, 7683, 297, 32, 1262, 32, 11201, 1188, 13199, 203, 1070, 7683, 297, 32, 1262, 32, 28497, 1188, 16215, 203, 1070, 7683, 297, 32, 5057, 32, 1439, 1188, 3772, 1151, 1598, 203, 1070, 7683, 297, 32, 1262, 32, 5057, 1188, 3903, 203, 823, 7155, 18239, 1486, 26, 3041, 711, 284, 2719, 81, 681, 280, 330, 6656, 81, 17486, 81, 1580, 25, 284, 3909, 81, 1793, 81, 44534, 280, 3177, 284, 477, 8358, 346, 284, 665, 1692, 26, 784, 30, 3826, 30, 1692, 81, 681, 47, 2521, 30, 5797, 47, 2521, 711, 291, 1692, 280, 3903, 26, 1567, 81, 681, 30, 5797, 27, 291, 1596, 44, 324, 630, 32, 2630, 32, 2956, 81, 1567, 26, 1567, 27, 291, 2940, 44, 324, 3636, 291, 813, 44, 324, 3826, 32, 459, 346, 203, 823, 7155, 1151, 1598, 26, 1761, 1151, 1598, 711, 284, 665, 2443, 26, 784, 30, 3851, 711, 291, 3851, 32, 3789, 26, 5291, 18239, 1486, 27, 284, 665, 20648, 26, 784, 30, 3851, 30, 1692, 81, 681, 711, 291, 3097, 284, 665, 42770, 26, 784, 30, 3851, 30, 1692, 81, 681, 711, 291, 3097, 284, 665, 9533, 26, 784, 30, 3851, 30, 1692, 30, 5868, 47, 35, 711, 291, 3826, 280, 3851, 32, 2714, 81, 1357, 463, 29051, 555, 17486, 370, 330, 17486, 32, 17050, 370, 301, 324, 330, 1567, 81, 681, 950, 1692, 32, 11996, 81, 681, 30, 324, 330, 6263, 950, 1692, 32, 1548, 30, 291, 1790, 291, 3826, 32, 371, 26, 5457, 47, 35, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 6, 6, 3, 3, 4, 5, 6, 5, 5, 5, 5, 7, 7, 6, 7, 5, 5, 6, 7, 5, 4, 4, 7, 7, 9, 10, 10, 10, 9, 9, 9, 5, 5, 6, 6, 6, 11, 12, 10, 11, 11, 11, 10, 11, 10, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 11, 12, 11, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 9, 12, 12, 12, 12, 10, 11, 12, 12, 12, 9, 9, 9, 12, 12, 10, 11, 12, 9, 9, 9, 4, 4, 7, 8, 7, 9, 8, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 4, 4, 4, 0, 2, 1, 0, 5, 5, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 4, 4, 3, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 1, 2, 3, 2, 2, 5, 5, 5, 4, 4, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 433, 1177, 203, 1318, 7131, 1177, 308, 6675, 27, 203, 28830, 587, 12547, 436, 322, 37515, 18426, 44, 600, 2156, 1914, 5624, 436, 22422, 34807, 587, 358, 11849, 372, 322, 37515, 18426, 32, 203, 10581, 308, 53, 27, 225, 36, 34, 35, 39, 225, 27864, 391, 20261, 675, 3064, 203, 7040, 438, 13534, 11495, 30, 3741, 432, 10111, 30, 372, 1346, 4916, 13934, 312, 1933, 203, 1028, 458, 2932, 461, 5746, 4333, 2276, 308, 1382, 313, 9902, 2113, 372, 8647, 203, 266, 322, 3859, 2876, 12649, 30, 6237, 2876, 12702, 322, 4751, 203, 452, 793, 30, 1933, 30, 5351, 30, 3991, 30, 6672, 30, 11914, 30, 14878, 30, 461, 33, 271, 10800, 203, 27382, 432, 322, 3859, 30, 461, 372, 8263, 13122, 372, 13322, 322, 3859, 438, 203, 48508, 372, 745, 1259, 30, 5383, 372, 322, 2412, 5479, 44, 203, 1318, 3684, 5539, 5394, 461, 458, 6501, 5394, 9909, 526, 5964, 328, 203, 464, 8672, 556, 14226, 13752, 432, 322, 3859, 32, 203, 14101, 5415, 2756, 10072, 313, 1099, 2756, 392, 4197, 9339, 2241, 2964, 4473, 30, 10190, 1878, 203, 39607, 30, 9989, 7736, 2370, 8489, 2823, 2890, 3901, 2241, 7930, 30, 203, 43781, 4786, 399, 7848, 7755, 3114, 14870, 32, 1236, 4435, 8452, 10184, 2890, 203, 41126, 1878, 8994, 11475, 6744, 10390, 4786, 2964, 14475, 30, 10049, 1878, 6064, 203, 43859, 30, 10466, 1236, 1737, 8301, 2241, 10314, 30, 10759, 1878, 10683, 30, 10478, 3753, 30, 203, 4241, 2241, 1878, 1236, 13401, 8848, 2890, 5415, 1878, 2890, 6131, 1878, 6064, 14756, 1236, 203, 14101, 5415, 32, 203, 9592, 203, 465, 29947, 203, 43764, 32, 5522, 26, 203, 202, 426, 347, 14157, 587, 1295, 392, 203, 202, 2310, 347, 34143, 461, 8272, 436, 1471, 322, 34807, 587, 12547, 328, 4865, 392, 203, 202, 2116, 347, 35669, 391, 20261, 675, 3064, 392, 203, 202, 965, 347, 525, 555, 1499, 32, 651, 391, 552, 675, 3064, 32, 508, 33, 28830, 587, 12547, 10590, 203, 202, 978, 81, 3477, 11414, 14157, 587, 1295, 2188, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 4, 3, 4, 3, 3, 3, 5, 4, 6, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 4, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 5, 1, 1, 1, 1, 1, 2, 1, 1, 0, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 9, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 13625, 1188, 31466, 203, 465, 31074, 203, 465, 1417, 203, 465, 11685, 203, 465, 6436, 619, 2065, 203, 465, 18414, 32, 15378, 619, 1869, 203, 1070, 4377, 1439, 1188, 3772, 38469, 30, 34691, 13976, 203, 1070, 4377, 2304, 32, 29678, 1188, 2065, 81, 1648, 203, 1070, 4377, 2304, 32, 29678, 1188, 22508, 81, 887, 81, 1449, 203, 1070, 4377, 2304, 32, 29678, 1188, 10020, 411, 203, 1070, 4377, 2304, 32, 29678, 1188, 328, 35, 86, 203, 1070, 4377, 2304, 1188, 12687, 30, 2623, 81, 271, 81, 35, 86, 203, 1070, 4377, 2304, 32, 6460, 1188, 1505, 81, 955, 203, 1070, 4377, 2304, 32, 7740, 295, 386, 1188, 5799, 81, 5919, 203, 1070, 4377, 2304, 32, 7740, 295, 386, 1188, 827, 81, 1028, 81, 1977, 203, 1070, 4377, 6173, 101, 1188, 18792, 203, 3969, 280, 18792, 32, 21332, 32, 3969, 203, 1110, 280, 18792, 32, 21332, 32, 1110, 203, 505, 464, 505, 280, 428, 284, 330, 1172, 81, 1771, 282, 518, 370, 284, 330, 2168, 9074, 282, 2265, 370, 284, 330, 2168, 8770, 370, 284, 330, 6221, 2168, 9074, 282, 2265, 370, 203, 79, 203, 589, 617, 1553, 81, 10337, 81, 9941, 81, 1452, 26, 5919, 711, 284, 415, 2065, 81, 1648, 2867, 37, 79, 333, 308, 35, 30, 225, 41, 30, 225, 34, 27, 461, 6492, 32, 12010, 32, 5462, 610, 330, 71, 950, 291, 3636, 26405, 440, 2567, 4997, 333, 225, 35, 32, 41, 32, 34, 1957, 646, 2054, 3233, 11939, 20, 6029, 313, 544, 15390, 706, 8464, 32, 5294, 10750, 20, 6029, 313, 10821, 4997, 372, 793, 9286, 8770, 623, 15390, 7806, 7144, 203, 823, 9286, 8770, 26, 1761, 38469, 30, 34691, 13976, 711, 284, 665, 617, 1553, 81, 4698, 3251, 26, 784, 711, 291, 415, 646, 19326, 26, 784, 30, 313, 4820, 81, 10280, 324, 3636, 10091, 440, 2168, 8770, 1597, 646, 8157, 3251, 6305, 7144, 284, 665, 8157, 26, 784, 30, 533, 711, 291, 533, 280, 2623, 81, 271, 81, 35, 86, 26, 107, 30, 17161, 47, 1815, 27, 291, 617, 1553, 81, 10337, 81, 9941, 81, 1452, 26, 107, 27, 291, 630, 32, 4820, 81, 280, 2065, 32, 5665, 26, 107, 27, 291, 442, 630, 284, 665, 8157, 81, 3792, 26, 784, 30, 533, 711, 291, 533, 280, 2623, 81, 271, 81, 35, 86, 26, 107, 30, 17161, 47, 1815, 27, 291, 617, 1553, 81, 10337, 81, 9941, 81, 1452, 26, 107, 27, 291, 630, 32, 4820, 3739, 533, 280, 2065, 32, 5665, 26, 107, 30, 442, 81, 18139, 47, 1815, 27, 291, 442, 533, 284, 665, 4522, 26, 784, 30, 533, 711, 291, 630, 1114, 1553, 81, 4698, 3251, 346, 291, 6015, 280, 2065, 32, 5665, 26, 107, 27, 291, 617, 1553, 81, 10337, 81, 9941, 81, 1452, 26, 4820, 27, 291, 415, 2069, 26, 2356, 32, 22170, 35, 86, 26, 4820, 30, 630, 32, 4820, 37115, 333, 2069, 26, 4820, 711, 324, 5839, 280, 2065, 32, 470, 4903, 35, 86, 26, 4820, 30, 630, 32, 4820, 7912, 324, 3636, 10091, 440, 107, 4304, 537, 6492, 44, 904, 101, 20, 904, 596, 26, 4903, 490 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 1, 1, 0, 3, 2, 2, 4, 5, 3, 4, 0, 3, 2, 2, 4, 5, 3, 4, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 7, 7, 6, 8, 6, 5, 5, 7, 6, 6, 7, 6, 6, 7, 6, 4, 4, 7, 8, 6, 7, 5, 5, 7, 7, 3, 3, 5, 7, 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, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 9, 8, 8, 10, 10, 10, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 9, 8, 8, 9, 10, 8, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 9, 8, 8, 9, 10, 8, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 4, 4, 8, 9, 9, 7, 6, 6, 8, 9, 8, 9, 8, 8, 10, 10, 9, 10, 8, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 7, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 4, 4, 5, 8, 11, 10, 11, 11, 11, 10, 11, 10, 10, 11, 12, 12, 6, 6, 8, 9, 8, 5, 5, 8, 8, 10, 11, 11, 11, 11, 10, 11, 10, 10, 11, 12, 12, 6, 6, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 13, 12 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 0, 5, 5, 0, 2, 1, 1, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 11, 11, 0, 11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 12, 12, 0, 1, 2, 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, 0, 15, 15, 0, 0, 15, 15, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 19, 19, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 19, 19, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 20, 20, 1, 2, 1, 1, 2, 2, 3, 2, 20, 20, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 3, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 15390, 81, 30839, 203, 465, 13092, 203, 465, 5237, 203, 465, 27374, 203, 1070, 13625, 1188, 41829, 203, 1070, 1671, 1188, 8921, 30, 18186, 203, 465, 18105, 612, 203, 1070, 1135, 1188, 7502, 203, 1070, 354, 482, 32, 6381, 4280, 1188, 9804, 203, 1070, 354, 482, 32, 42780, 1188, 10329, 203, 823, 894, 81, 12534, 44, 284, 665, 894, 81, 2763, 26, 784, 711, 291, 617, 9671, 280, 41829, 346, 291, 443, 15660, 26, 1473, 711, 324, 665, 1156, 1664, 3207, 784, 711, 400, 630, 32, 2668, 280, 1605, 324, 665, 1491, 26, 784, 30, 1334, 30, 3309, 47, 2521, 711, 400, 3309, 280, 3309, 556, 10329, 346, 400, 617, 9671, 32, 1689, 1162, 891, 30, 3309, 490, 400, 442, 3309, 324, 665, 1491, 81, 2111, 26, 784, 30, 3309, 47, 2521, 711, 400, 442, 630, 32, 850, 26, 38, 30, 3309, 27, 324, 665, 1491, 81, 1548, 26, 784, 30, 3338, 30, 3309, 47, 2521, 711, 400, 3361, 81, 891, 30, 280, 18186, 463, 48, 62, 370, 3338, 27, 400, 442, 630, 32, 850, 26, 1548, 81, 891, 30, 3309, 27, 324, 665, 11656, 81, 1548, 26, 784, 30, 786, 711, 400, 630, 32, 2668, 32, 1689, 26, 853, 27, 291, 3642, 280, 15660, 346, 291, 3642, 32, 850, 81, 2111, 922, 3356, 26, 324, 3642, 32, 850, 81, 1548, 547, 3356, 26, 4071, 26, 1805, 32, 9266, 81, 1548, 490, 291, 2218, 617, 9671, 44, 324, 1334, 30, 3309, 280, 617, 9671, 32, 3235, 1873, 346, 324, 415, 1334, 610, 225, 38, 44, 400, 3309, 26, 2423, 463, 48, 62, 370, 225, 35, 36, 37, 35, 34, 35, 36, 37, 34, 36, 490, 324, 813, 44, 400, 3309, 463, 8279, 5788, 683, 291, 1201, 3642, 32, 2668, 291, 1201, 3642, 32, 2668, 77, 34, 79, 610, 330, 8279, 5788, 25, 284, 665, 894, 81, 7295, 26, 784, 711, 291, 3309, 280, 7502, 26, 426, 1057, 4383, 683, 291, 312, 280, 10329, 346, 291, 312, 32, 3356, 26, 4383, 27, 291, 312, 26, 38, 36, 27, 291, 3309, 32, 862, 81, 10910, 81, 1793, 26, 38, 36, 27, 284, 665, 894, 81, 5074, 318, 26, 784, 711, 291, 665, 1015, 26, 106, 30, 533, 711, 324, 442, 816, 474, 533, 291, 665, 13106, 36, 26, 106, 711, 324, 442, 816, 1115, 225, 36, 291, 1544, 493, 280, 7502, 26, 426, 1057, 38189, 683, 291, 1544, 493, 32, 2671, 81, 7469, 280, 1015, 291, 7169, 280, 7502, 26, 426, 1057, 36520, 683, 291, 7169, 32, 2671, 81, 7469, 280, 13106, 36, 291, 1158, 280, 7502, 26, 426, 1057, 3220, 683, 291, 298, 280, 10329, 346, 291, 298, 32, 3356, 26, 38189, 547, 3356, 26, 7370, 547, 3356, 26, 3220, 27, 291, 298, 26, 38, 36, 30, 225, 38, 36, 27, 291, 1201, 298, 32, 853, 610, 1833, 38, 36, 30, 225, 38, 36, 471, 12797, 291, 1544, 493, 32, 862, 81, 10910, 81, 1793, 26, 38, 36, 30, 225, 38, 36, 27, 291, 7169, 32, 862, 81, 10910, 81, 1793, 26, 42, 38 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 5, 6, 7, 6, 5, 5, 7, 8, 8, 9, 8, 7, 7, 11, 12, 10, 10, 6, 6, 7, 8, 9, 8, 8, 8, 8, 9, 10, 8, 7, 7, 10, 10, 11, 11, 13, 8, 8, 12, 11, 12, 11, 13, 12, 12, 12, 8, 8, 9, 6, 6, 7, 8, 8, 8, 9, 8, 8, 9, 10, 8, 7, 7, 9, 11, 12, 11, 12, 11, 11, 11, 6, 6, 7, 8, 8, 8, 9, 8, 8, 8, 8, 9, 10, 8, 7, 7, 12, 12, 11, 10, 10, 12, 14, 14, 14, 12, 12, 8, 8, 9, 11, 12, 11, 12, 12, 12, 11, 11, 11, 6, 6, 7, 8, 8, 8, 9, 8, 8, 8, 7, 7, 12, 13, 11, 12, 11, 12, 11, 4, 4, 6, 6, 8, 4, 4, 11, 12, 12, 12, 11, 10, 9, 9, 9, 10, 11, 11, 11, 9, 8, 7, 9, 9, 11, 10, 11, 11, 11, 9, 4, 4, 5, 6, 5, 5, 5, 9, 9, 8, 8, 11, 10, 11, 11, 10, 6, 6, 7, 8, 8, 9, 7, 7, 7, 11, 13, 13, 15, 15, 15, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 7, 7, 8, 8, 8, 12, 14, 14, 14, 4, 4, 5, 6, 7, 4, 4, 5, 8, 9, 7, 8, 7, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 11, 11, 4, 4, 6, 6, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 6, 6, 6, 5, 5, 7, 8, 8, 4, 4, 5, 6, 6, 7, 6, 5, 5, 7, 8, 8, 9, 4, 4, 7, 6, 6, 8, 10, 9, 11, 11, 4, 4, 8, 7, 8, 8, 8, 6, 6, 4, 4, 6, 6, 8, 10, 9, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 6, 6, 8, 10, 9, 11, 11, 4, 4, 6, 6, 8, 4, 4, 11, 12, 11, 12, 11, 10, 9, 10, 9, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 5, 7, 8, 6, 6, 9, 9, 8, 8, 9, 9, 8, 7, 4, 4, 8, 7, 8, 8, 8, 8, 8, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 5, 5, 0, 6, 6, 0, 0, 7, 7, 7, 7, 0, 8, 8, 0, 1, 2, 2, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 0, 10, 10, 1, 1, 10, 10, 10, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 1, 4, 4, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 4, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 4, 4, 5, 1, 2, 4, 4, 6, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 10, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 8527, 32, 2304, 32, 605, 25078, 1188, 36809, 7167, 203, 1070, 420, 25361, 32, 2304, 32, 19118, 1191, 1188, 31436, 261, 203, 1070, 2156, 3034, 81, 7854, 32, 1237, 1188, 1168, 33367, 203, 941, 33367, 1580, 280, 1168, 33367, 32, 941, 33367, 1580, 203, 823, 439, 2223, 4248, 26, 941, 33367, 32, 6515, 33367, 1893, 779, 3557, 4672, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1845, 548, 1855, 711, 291, 2599, 26, 59, 2223, 4248, 30, 630, 14585, 1664, 3207, 368, 548, 1855, 27, 203, 823, 4600, 3091, 4248, 26, 941, 33367, 32, 6515, 33367, 1893, 779, 3557, 4672, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1845, 548, 1855, 711, 291, 2599, 26, 2027, 3091, 4248, 30, 630, 14585, 1664, 3207, 368, 548, 1855, 27, 203, 823, 4600, 3091, 7294, 2798, 26, 941, 33367, 32, 6515, 33367, 1893, 779, 3557, 4672, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1845, 548, 1855, 711, 291, 2599, 26, 2027, 3091, 7294, 2798, 30, 630, 14585, 1664, 3207, 368, 548, 1855, 27, 203, 823, 30537, 1183, 26, 941, 33367, 32, 6515, 33367, 1893, 779, 3557, 4672, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1845, 548, 1855, 711, 291, 2599, 26, 43486, 1183, 30, 630, 14585, 1664, 3207, 368, 548, 1855, 27, 203, 589, 354, 7547, 2122, 81, 1297, 26, 1357, 30, 1115, 5321, 711, 284, 3361, 280, 5053, 27369, 2122, 950, 324, 5053, 2300, 81, 1293, 81, 417, 950, 10306, 710, 2300, 81, 1293, 81, 417, 2188, 1802, 330, 426, 950, 10306, 710, 426, 2188, 1802, 330, 2310, 950, 10306, 710, 2310, 2188, 1802, 330, 5785, 81, 314, 950, 10306, 710, 5785, 81, 314, 2188, 1802, 330, 19838, 81, 314, 950, 10306, 710, 19838, 81, 314, 26830, 324, 320, 284, 354, 7547, 2122, 280, 1168, 33367, 1580, 26, 1357, 547, 1297, 81, 27369, 2122, 26, 1548, 547, 371, 26, 291, 330, 27369, 2122, 683, 284, 442, 30537, 1183, 26, 27369, 2122, 27, 203, 589, 354, 7547, 2122, 81, 668, 26, 1357, 30, 1115, 5321, 711, 284, 442, 617, 27369, 2122, 81, 668, 26, 1357, 30, 11764, 81, 19838, 47, 1815, 30, 11764, 81, 5785, 47, 1815, 30, 1014, 11764, 81, 468, 2425, 47, 1815, 30, 1115, 5321, 27, 203, 589, 617, 27369, 2122, 81, 668, 26, 1357, 30, 11764, 81, 19838, 47, 2700, 30, 11764, 81, 5785, 47, 2700, 30, 3486, 11764, 81, 468, 2425, 47, 2700, 30, 1115, 5321, 711, 284, 354, 7547, 4255, 280, 1168, 33367, 1580, 26, 1357, 547, 668, 81, 27369, 4255, 26, 291, 1115, 5321, 547, 371, 463, 27369, 4255, 683, 284, 415, 11764, 81, 19838, 44, 291, 20072, 101, 280, 1168, 33367, 32, 19838, 81, 668, 26, 1357, 27, 291, 20072, 81, 2665, 280, 36809, 7167, 1162, 101, 32, 314, 30, 309, 27, 436, 309, 328, 20072, 101, 27, 291, 436, 309, 328, 354, 7547, 4255, 44, 324, 309, 710, 19838, 81, 426, 785, 280, 20072, 81, 2665, 32, 371, 26, 101, 710, 19838, 81, 314, 21229, 36966, 284, 415, 11764, 81, 5785, 44, 291, 18668 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 2, 1, 1, 4, 4, 8, 8, 8, 6, 6, 10, 10, 10, 10, 10, 10, 8, 9, 11, 11, 11, 11, 11, 11, 7, 7, 10, 10, 8, 9, 11, 11, 7, 7, 10, 10, 8, 9, 11, 11, 7, 7, 10, 10, 10, 10, 8, 9, 11, 11, 11, 11, 7, 7, 10, 10, 10, 10, 8, 9, 11, 11, 11, 11, 5, 5, 2, 2, 5, 5, 4, 4, 10, 10, 10, 11, 10, 9, 9, 9, 9, 8, 9, 8, 7, 6, 6, 6, 8, 8, 8, 2, 2, 3, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 2, 1, 1, 3, 5, 5, 5, 5, 5, 6, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 5, 7, 7, 7, 6, 7, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 2, 4, 4, 4, 3, 4, 2, 2, 4, 2, 1, 1, 5, 5, 4, 4, 10, 10, 10, 11, 10, 9, 9, 9, 9, 8, 8, 8, 10, 8, 7, 6, 8, 8, 8, 2, 2, 3, 4, 4, 3, 3, 3, 7, 6, 6, 9, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 11, 10, 11, 9, 9, 9, 8, 9, 9, 9, 10, 8, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 9, 11, 11, 11, 11, 8, 8, 12, 12, 11, 12, 11, 13, 12, 14, 14, 14, 14, 10, 2, 2, 3, 4, 4, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 5, 5, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 6, 6, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 7, 7, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 8, 8, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 8, 8, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 9, 9, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 1, 2, 2, 2, 1, 2, 5, 2, 1, 2, 2, 2, 1, 1, 1, 2, 7, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 10, 10, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 1, 0, 0, 0, 7, 2, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 7, 2, 2, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 3, 1, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2 ]
[ 505, 464, 505, 280, 2107, 2825, 370, 330, 2644, 2825, 370, 330, 3644, 2825, 370, 330, 3644, 2644, 2825, 370, 2607, 330, 8357, 2825, 370, 330, 3644, 8357, 2825, 785, 203, 1070, 3363, 1188, 44524, 30, 3319, 2338, 4672, 203, 1070, 4096, 32, 6528, 3922, 1188, 18334, 2825, 30, 18394, 8357, 2825, 203, 1070, 4096, 1114, 6038, 1439, 1188, 8248, 37, 36, 203, 823, 12259, 44, 284, 665, 1156, 1664, 3207, 784, 30, 617, 823, 47, 2521, 30, 9305, 7231, 47, 8524, 37, 36, 711, 291, 630, 1114, 823, 280, 617, 823, 291, 630, 32, 6038, 280, 7231, 284, 665, 3185, 26, 784, 30, 11828, 30, 4826, 2585, 47, 2700, 711, 291, 6985, 3922, 280, 18334, 2825, 26, 784, 1114, 823, 30, 7231, 47, 784, 32, 6038, 27, 291, 415, 4826, 2585, 44, 324, 6985, 3922, 1114, 470, 81, 5078, 2585, 346, 291, 2218, 2933, 44, 324, 706, 280, 11828, 32, 850, 26, 42, 35, 43, 36, 27, 324, 415, 646, 706, 44, 400, 1626, 324, 6985, 3922, 32, 6528, 26, 605, 27, 291, 442, 6985, 3922, 32, 2679, 346, 284, 665, 3185, 466, 26, 784, 30, 1344, 30, 4826, 2585, 47, 2700, 711, 291, 442, 630, 32, 2208, 26, 652, 2338, 26, 878, 471, 4826, 2585, 47, 5078, 2585, 27, 203, 823, 10268, 2825, 26, 2825, 711, 284, 665, 3185, 26, 784, 30, 11828, 30, 4826, 2585, 47, 1815, 711, 291, 442, 12259, 32, 2208, 26, 784, 30, 11828, 30, 2933, 27, 284, 665, 3185, 466, 26, 784, 30, 1344, 30, 4826, 2585, 47, 1815, 711, 291, 442, 12259, 32, 2208, 466, 26, 784, 30, 1344, 30, 2933, 27, 203, 823, 18394, 2825, 44, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 4124, 711, 291, 630, 32, 3922, 280, 12259, 2740, 1132, 30, 1115, 4124, 27, 284, 665, 3185, 26, 784, 30, 11828, 30, 4826, 2585, 47, 2700, 711, 291, 11828, 280, 3319, 2338, 4672, 26, 4426, 30, 7328, 1057, 14510, 370, 3878, 1057, 8841, 32062, 11731, 683, 291, 1596, 44, 324, 442, 630, 32, 3922, 32, 2208, 26, 4426, 30, 4826, 2585, 27, 291, 8295, 44, 324, 11828, 32, 18723, 346, 284, 665, 3185, 3651, 26, 784, 30, 1344, 30, 4826, 2585, 47, 2700, 711, 291, 1344, 280, 1344, 32, 5460, 463, 20957, 370, 3878, 1057, 8841, 32062, 11731, 683, 291, 442, 630, 32, 3922, 32, 2208, 466, 26, 878, 30, 4826, 2585, 27, 203, 823, 18394, 2644, 2825, 26, 3644, 2825, 711, 284, 665, 3185, 26, 784, 30, 11828, 30, 4826, 2585, 47, 1815, 711, 291, 442, 18394, 2825, 32, 2208, 26, 784, 30, 11828, 30, 4826, 2585, 47, 1815, 27, 284, 665, 3185, 3651, 26, 784, 30, 1344, 30, 4826, 2585, 47, 1815, 711, 291, 442, 18394, 2825, 32, 2208, 3651, 26, 784, 30, 1344, 30, 4826, 2585, 47, 1815, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 2, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 4, 5, 6, 6, 6, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 7, 6, 6, 8, 8, 10, 9, 10, 8, 8, 9, 11, 10, 11, 8, 4, 4, 5, 6, 5, 5, 5, 10, 9, 10, 10, 10, 10, 9, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 6, 6, 7, 8, 7, 7, 7, 6, 6, 10, 9, 10, 9, 10, 9, 4, 4, 5, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 10, 9, 7, 9, 8, 9, 9, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 5, 7, 8, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 5, 7, 8, 8, 7, 8, 7, 7, 7, 7, 7, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 8, 10, 8, 8, 10, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 6, 6, 8, 8, 8, 9, 8, 8, 9, 11, 11, 8, 9, 11, 11, 11, 11, 4, 4, 5, 5, 5, 7, 10, 11, 9, 10, 9, 10, 9, 9, 10, 9, 5, 5, 6, 6, 6, 10, 11, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 8, 9, 11, 11, 11, 11, 4, 4, 5, 8, 9, 7, 8, 8, 7, 8, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 5, 8, 7, 8, 7, 8, 7, 7, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 5, 8, 7, 8, 8, 7, 8, 7, 7, 7, 7, 9, 8, 9, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 3, 3, 0, 0, 0, 4, 4, 4, 4, 4, 0, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 2, 7, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 3, 3, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 4, 4, 3, 0, 0, 2, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 3, 2, 2, 1, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 6, 6, 1, 6, 6, 6, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 1, 5, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 0, 2, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 4, 4, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 3, 1, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 5, 2, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 5, 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 ]
[ 465, 22493, 203, 465, 1933, 203, 465, 2361, 203, 465, 1344, 4071, 203, 465, 15798, 203, 465, 34777, 14474, 203, 465, 4395, 203, 465, 13092, 203, 465, 5167, 203, 1070, 18792, 32, 21332, 1188, 1913, 81, 1580, 203, 1270, 44, 284, 1188, 12643, 203, 7343, 308, 4196, 924, 30, 29316, 711, 10065, 12643, 280, 1665, 203, 1270, 44, 284, 1188, 3619, 6461, 203, 7343, 29986, 44, 10065, 3619, 6461, 280, 1665, 203, 1270, 44, 284, 645, 9270, 32, 3209, 1188, 6524, 1217, 81, 4219, 81, 104, 35, 5992, 35, 203, 7343, 308, 4196, 924, 30, 29316, 711, 10065, 6524, 1217, 81, 4219, 81, 104, 35, 5992, 35, 280, 1665, 203, 1270, 44, 284, 645, 24084, 1188, 24084, 203, 7343, 308, 4196, 924, 30, 29316, 711, 10065, 24084, 280, 1665, 203, 589, 617, 2682, 81, 12623, 2262, 284, 1188, 9270, 32, 2393, 32, 12623, 284, 442, 4395, 32, 3660, 26, 2285, 47, 2175, 32, 2393, 32, 12623, 32, 10103, 27, 203, 589, 617, 2682, 81, 1580, 26, 2250, 347, 858, 31, 2250, 392, 3387, 47, 2521, 711, 284, 645, 9270, 32, 3209, 32, 45695, 32, 1580, 1188, 5675, 284, 415, 3387, 438, 1665, 44, 291, 3387, 280, 617, 2682, 81, 3841, 346, 284, 2043, 280, 5675, 26, 2250, 47, 2250, 30, 10677, 11645, 2682, 81, 12623, 1026, 617, 525, 47, 1473, 1157, 284, 2043, 1114, 3841, 280, 3387, 284, 442, 2043, 203, 589, 617, 2682, 81, 3841, 2740, 18263, 711, 284, 1188, 9270, 32, 3209, 32, 45695, 1114, 525, 284, 645, 9270, 32, 3209, 32, 11452, 1188, 22931, 284, 4395, 81, 3781, 280, 4395, 32, 1297, 81, 33435, 897, 26, 2175, 32, 3209, 32, 45695, 1114, 525, 32, 2798, 27, 284, 4395, 81, 3781, 32, 1237, 81, 1357, 32, 2671, 81, 7469, 280, 1149, 26, 18263, 27, 474, 428, 5965, 440, 7769, 3830, 284, 442, 4395, 81, 3781, 203, 589, 617, 2682, 81, 3245, 81, 3142, 26, 284, 10064, 81, 1003, 81, 874, 47, 35, 38, 37, 41, 41, 40, 41, 39, 43, 43, 34, 34, 40, 30, 284, 7307, 81, 1003, 81, 874, 47, 35, 38, 37, 41, 41, 40, 41, 40, 34, 34, 34, 34, 41, 30, 284, 22947, 81, 1003, 81, 874, 47, 35, 38, 37, 41, 41, 40, 41, 40, 34, 35, 34, 34, 42, 30, 284, 7307, 47, 2700, 30, 284, 22947, 47, 2700, 30, 284, 2971, 481, 347, 8183, 31, 589, 31, 90, 12530, 392, 284, 6998, 347, 641, 555, 45695, 32, 12717, 32, 508, 392, 284, 3992, 81, 681, 347, 944, 392, 284, 3992, 81, 314, 347, 83, 31, 3855, 31, 314, 392, 284, 2074, 81, 314, 347, 6060, 31, 2250, 392, 284, 1256, 81, 1935, 347, 27804, 31, 496, 50, 2763, 32, 508, 392, 203, 711, 284, 2869, 280, 301, 291, 313, 5983, 563, 301, 3245, 81, 681, 44, 2149, 835, 291, 313, 16679, 563, 3447, 16777, 1043, 563, 10064, 81, 1003, 81, 874, 30, 3992, 81, 681, 44, 2149, 835, 291, 313, 32520, 563, 2971, 481, 30, 291, 313, 314, 563, 19436, 19189, 2296, 1643, 26, 2250, 81, 314, 30, 3992, 81, 314, 471 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 1, 2, 2, 4, 4, 3, 3, 3, 2, 2, 5, 5, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 1, 1, 3, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 2, 4, 4, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 4, 4, 3, 3, 3, 2, 2, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 4, 5, 4, 5, 2, 2, 3, 5, 6, 5, 7, 6, 10, 9, 10, 8, 9, 7, 8, 5, 0, 1, 1, 2, 2, 2, 2, 4, 3, 5, 5, 5, 5, 2, 3, 4, 2, 1, 1, 3, 4, 5, 4, 5, 4, 5, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 8, 8, 8, 2, 2, 4, 4, 6, 8, 7, 8, 6, 6, 7, 9, 9, 9, 9, 6, 8, 7, 9, 9, 2, 2, 5, 6, 4, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 4, 2, 1, 1, 3, 4, 5, 4, 5, 4, 5, 2, 2, 3, 4, 5, 4, 5, 3, 3, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 11, 10, 11, 9, 10, 8, 9, 7, 8, 6, 2, 2, 7, 7, 6, 7, 7, 7, 5, 6, 6, 6, 4, 4, 7, 8, 7, 5, 5, 8, 8, 10, 10, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 2, 2, 4, 3, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 3, 5, 5, 2, 2, 4, 4, 3, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 3, 5, 5, 5, 5, 2, 2, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 1, 1, 4, 4, 5, 5, 8, 8, 6, 9, 9, 9, 8, 8, 7, 5, 5, 8, 8, 6, 10, 10, 10, 8, 9, 9, 9, 9, 7, 7, 9, 9, 8, 8, 7, 5, 5, 8, 8, 6, 7, 5, 5, 5, 8, 8, 6, 10, 10, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 2, 9, 9, 0, 0, 0, 10, 10, 10, 10, 0, 10, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 11, 11, 11, 11, 0, 0, 11, 3, 3, 3, 3, 3, 0, 0, 0, 0, 12, 12, 12, 12, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 13, 13, 13, 0, 0, 0, 13, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 14, 14, 1, 1, 1, 2, 14, 14, 0, 1, 2, 1, 4, 4, 4, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 15, 15, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 3, 2, 2, 15, 15, 0, 1, 2, 1, 4, 1, 6, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 3, 0, 0, 0, 1, 1, 0, 5, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 4, 0, 16, 16, 1, 1, 1, 2, 1, 2, 16, 16, 0, 1, 2, 1, 4, 1, 6, 4, 4, 1, 1, 2, 1, 4, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 4, 4, 4, 1, 1, 0, 17, 17, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 9, 2, 2, 2, 2, 0, 11, 1, 1, 1, 1, 1, 1, 2, 2, 2, 13, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 15, 1, 2, 2, 2, 0, 0, 17, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 19, 1, 1, 1, 2, 2, 2, 0, 0, 21, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 17, 17, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 1, 2, 7, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1 ]