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, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 316, 203, 1070, 8527, 32, 1262, 32, 24894, 1188, 29420, 81, 20866, 203, 1070, 8527, 32, 8538, 1188, 40075, 203, 1070, 8527, 32, 8538, 32, 4151, 1188, 5692, 30, 18044, 1176, 30, 6608, 30, 7687, 1176, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 18548, 81, 9941, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 5452, 81, 17980, 81, 268, 280, 316, 32, 6993, 26, 100, 28249, 18470, 35, 31, 49, 6505, 4987, 86, 109, 37, 1748, 6448, 8169, 34414, 4987, 86, 109, 37, 1748, 6448, 8169, 34414, 4987, 86, 109, 38, 1748, 22, 683, 203, 422, 96, 81, 268, 280, 316, 32, 6993, 26, 100, 20, 80, 12390, 66, 46, 3768, 5213, 86, 109, 37, 1748, 6448, 78, 1481, 11952, 49, 66, 46, 1363, 5213, 86, 109, 36, 1748, 6448, 78, 1481, 11952, 49, 66, 46, 3542, 5213, 86, 109, 38, 1748, 22, 657, 203, 823, 15449, 13567, 1227, 1176, 26, 10851, 1176, 711, 284, 1244, 81, 731, 81, 6286, 280, 301, 291, 330, 5790, 950, 30121, 6545, 312, 8529, 1340, 328, 322, 2179, 9439, 2915, 556, 9439, 2915, 31, 13083, 41365, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 1769, 81, 1322, 47, 2521, 30, 1847, 81, 1322, 47, 2521, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 2045, 13567, 1227, 1176, 30, 630, 14585, 1664, 3207, 100, 25, 14747, 86, 109, 39, 12560, 2805, 15641, 86, 109, 38, 1748, 33113, 370, 324, 1769, 81, 1322, 30, 1847, 81, 1322, 30, 319, 1132, 30, 1115, 5321, 27, 203, 823, 632, 2231, 34090, 1918, 1176, 26, 16357, 711, 284, 1244, 81, 731, 81, 6286, 280, 301, 291, 330, 5790, 950, 30121, 7457, 7515, 2298, 526, 328, 9439, 31, 9787, 31, 13083, 2179, 41365, 284, 320, 284, 665, 5063, 26, 784, 30, 786, 711, 291, 2599, 26, 2045, 25296, 1176, 30, 630, 547, 6008, 26, 853, 27, 291, 415, 786, 328, 29420, 81, 20866, 44, 324, 442, 1044, 2699, 291, 786, 280, 316, 32, 1113, 463, 4987, 12143, 78, 6488, 78, 101, 29, 7243, 2550, 18548, 81, 9941, 26, 853, 490, 291, 345, 280, 9836, 81, 17980, 81, 268, 32, 1903, 26, 853, 27, 291, 415, 345, 44, 324, 442, 1044, 21735, 101, 9299, 101, 9299, 101, 25, 904, 308, 95, 32, 1363, 26, 35, 471, 345, 32, 1363, 26, 36, 471, 345, 32, 1363, 26, 37, 490, 291, 3636, 40075, 26, 784, 32, 731, 81, 6286, 710, 5790, 3490, 203, 823, 632, 1706, 6235, 5188, 1918, 1176, 26, 1176, 711, 284, 1244, 81, 731, 81, 6286, 280, 301, 291, 330, 5790, 950, 30121, 6545, 312, 2080, 632, 32, 69, 32, 25099, 7337, 1451, 328, 9439, 31, 2915, 31, 13083, 2179, 41365, 284, 320, 284, 665, 5063, 26, 784, 30, 786, 711, 291, 2599, 26, 71, 1706, 6235, 5188, 1918, 1176, 30, 630, 547, 6008, 26, 853, 27, 291, 415, 786, 328, 29420, 81, 20866, 44, 324, 442, 1044, 2699, 291, 2530, 280, 316, 32, 2872, 26, 422, 96, 81, 268, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 9, 7, 7, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 8, 7, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 7, 9, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 11, 10, 4, 4, 6, 6, 9, 9, 9, 9, 8, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 12, 11, 12, 11, 12, 11, 9, 11, 12, 11, 12, 11, 9, 11, 12, 11, 12, 11, 4, 4, 5, 7, 10, 9, 10, 10, 10, 8, 10, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 8, 7, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 7, 9, 4, 4, 6, 6, 8, 9, 8, 9, 9, 9, 9, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 1, 2, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 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, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 4, 4, 5, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 465, 316, 203, 1070, 18792, 32, 21332, 1188, 35198, 261, 203, 1070, 14785, 32, 12023, 32, 7741, 32, 2958, 32, 7741, 32, 2304, 1188, 16951, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 894, 81, 1040, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 485, 761, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 589, 28921, 2459, 2262, 334, 485, 761, 32, 3410, 435, 33053, 26, 858, 32, 371, 81, 1433, 81, 1515, 1157, 203, 823, 570, 85, 1006, 26, 858, 81, 1040, 32, 7929, 4055, 7233, 711, 334, 665, 894, 62, 19055, 6166, 12778, 26, 784, 711, 284, 7842, 280, 428, 9240, 32, 1215, 4207, 3986, 392, 225, 42, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 43, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 35, 34, 2177, 284, 37270, 280, 16951, 32, 43580, 81, 1358, 81, 9561, 26, 36, 27, 284, 310, 280, 37270, 26, 8478, 27, 284, 630, 32, 4983, 26, 96, 30, 428, 9240, 32, 1215, 4207, 3986, 392, 225, 43, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 35, 34, 14829, 334, 665, 894, 62, 19055, 6166, 12778, 43279, 3410, 8039, 5637, 26, 784, 711, 284, 7842, 280, 428, 9240, 32, 1215, 4207, 3986, 392, 225, 34, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 37, 2177, 284, 37270, 280, 16951, 32, 43580, 81, 1358, 81, 9561, 26, 36, 27, 284, 310, 280, 37270, 26, 8478, 27, 284, 630, 32, 4983, 26, 96, 30, 428, 9240, 32, 1215, 4207, 3986, 392, 225, 34, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 37, 14829, 334, 665, 894, 2573, 6166, 2062, 26, 784, 711, 284, 7842, 280, 428, 291, 16951, 32, 1215, 4207, 3986, 392, 225, 38, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 39, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 40, 471, 291, 16951, 32, 1215, 4207, 3986, 392, 225, 43, 27, 284, 1481, 284, 2047, 280, 16951, 32, 1803, 81, 1358, 81, 1648, 26, 36, 27, 284, 630, 32, 4983, 26, 1803, 26, 8478, 471, 428, 9240, 32, 1215, 4207, 3986, 392, 225, 38, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 40, 14829, 284, 2047, 280, 16951, 32, 1803, 81, 1358, 81, 1648, 26, 37, 27, 284, 630, 32, 4983, 26, 1803, 26, 8478, 471, 428, 9240, 32, 1215, 4207, 3986, 392, 225, 40, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 43, 14829, 334, 665, 894, 45825, 18144, 64, 6166, 12778, 26, 784, 711, 284, 7842, 280, 428, 291, 16951, 32, 1215, 4207, 3986, 392, 225, 34, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 35, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 37, 471, 291, 16951, 32, 1215, 4207, 3986, 392, 225, 39, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 40, 471, 16951, 32, 1215, 4207, 3986, 392, 225, 41, 471, 291, 16951, 32, 1215, 4207, 3986, 392, 225, 42, 471, 16951, 32, 1215, 4207, 3986, 392, 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, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 6, 5, 6, 6, 6, 5, 8, 7, 8, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 9, 10, 9, 11, 11, 9, 10, 9, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 9, 10, 9, 11, 11, 9, 10, 10, 9, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 11, 10, 11, 10, 12, 12, 10, 11, 10, 8, 10, 11, 10, 12, 12, 10, 11, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 9, 10, 9, 11, 11, 9, 10, 9, 7, 9, 10, 9, 11, 11, 9, 10, 9, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 11, 10, 11, 10, 12, 12, 10, 11, 10, 8, 10, 11, 10, 12, 12, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 11, 10, 11, 10, 12, 12, 10, 11, 10, 8, 10, 11, 10, 12, 12, 10, 11, 10, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 11, 10, 11, 10, 12, 12, 10, 11, 10, 8, 10, 11, 10, 12, 12, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 7, 9, 10, 9, 11, 11, 9, 10, 9, 7, 9, 10, 9, 11, 11, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 10, 10, 1, 2, 10, 10, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 11, 11, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 11, 11, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 3, 1, 3, 0, 2, 1, 1, 2, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 3, 1, 3, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 3, 1, 3, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 3, 1, 3, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 2, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 2, 1 ]
[ 1070, 29346, 32, 1637, 1188, 7176, 81, 1637, 81, 1293, 203, 1070, 29346, 1188, 15257, 203, 1070, 1938, 81, 2021, 1188, 2663, 81, 5646, 203, 589, 617, 24929, 26, 1141, 81, 10340, 711, 334, 23801, 81, 2109, 81, 613, 5696, 69, 280, 225, 41, 334, 47167, 81, 4804, 280, 225, 36, 334, 436, 617, 328, 35198, 26, 10463, 81, 2109, 81, 613, 5696, 69, 711, 284, 2125, 81, 10340, 32, 24929, 1969, 346, 284, 2125, 81, 10340, 32, 6485, 26, 16718, 81, 4804, 27, 203, 589, 617, 1922, 1969, 1339, 1554, 24929, 26, 1637, 81, 6933, 711, 334, 443, 37470, 30500, 1969, 26, 1637, 81, 6933, 711, 10065, 665, 4489, 1969, 39673, 26, 784, 30, 2125, 81, 10340, 711, 397, 617, 24929, 26, 1141, 81, 10340, 27, 334, 442, 37470, 30500, 1969, 203, 823, 6012, 24929, 20845, 1969, 885, 26, 13519, 32, 18509, 885, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 2599, 26, 1969, 24929, 20845, 1969, 885, 30, 630, 14585, 1664, 3207, 291, 13600, 81, 605, 81, 761, 1057, 605, 33, 1393, 81, 36, 39, 32, 1260, 370, 291, 8668, 81, 4219, 81, 6452, 47, 13519, 32, 14498, 13703, 81, 26468, 27, 284, 7176, 81, 10953, 81, 1293, 280, 7176, 81, 1637, 81, 1293, 32, 7432, 13025, 1969, 1078, 284, 630, 32, 1103, 18509, 2176, 1922, 1969, 1339, 1554, 24929, 26, 291, 2663, 81, 5646, 32, 7732, 2595, 3192, 1969, 2502, 784, 30, 7176, 81, 10953, 81, 1293, 490, 284, 630, 32, 1103, 18509, 2176, 1922, 1969, 1339, 1554, 24929, 26, 291, 2663, 81, 5646, 32, 7732, 4216, 1969, 2502, 784, 30, 7176, 81, 10953, 81, 1293, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 8, 8, 7, 8, 8, 7, 4, 4, 8, 8, 7, 8, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 6, 6, 6, 7, 6, 6, 7, 7, 6, 5, 5, 9, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 7, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 7, 8, 8, 8, 8, 4, 4, 7, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 11, 12, 12, 12, 12, 10, 10, 9, 9, 10, 10, 10, 10, 9, 4, 4, 7, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 11, 12, 12, 12, 10, 10, 9, 9, 10, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 3, 3, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 3, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 203, 3495, 2634, 19292, 203, 6490, 203, 2272, 10252, 6972, 844, 372, 2866, 1370, 14765, 1471, 322, 341, 1546, 295, 268, 2634, 8345, 32, 31588, 372, 203, 37711, 2276, 322, 2020, 2634, 5016, 32, 203, 1562, 322, 8345, 30, 2779, 821, 44, 1913, 555, 1499, 32, 4746, 295, 268, 2634, 32, 1088, 33, 203, 9592, 203, 1070, 39757, 17814, 1188, 37032, 203, 1070, 39757, 17814, 1188, 20719, 203, 1070, 39757, 17814, 1188, 4070, 203, 1070, 39757, 17814, 32, 2304, 1188, 39757, 17814, 81, 1676, 203, 1270, 44, 284, 645, 2020, 2634, 1188, 2020, 2634, 36, 916, 284, 2020, 2634, 280, 2933, 203, 7343, 29986, 44, 284, 2020, 2634, 280, 3177, 203, 1270, 44, 284, 645, 3619, 32725, 1188, 18299, 483, 284, 645, 3619, 32725, 32, 1643, 5725, 1188, 13030, 8736, 284, 645, 3619, 32725, 1188, 8839, 284, 30043, 32477, 280, 2933, 203, 7343, 44, 284, 30043, 32477, 280, 3177, 203, 823, 4089, 2634, 3300, 26, 46221, 32, 1761, 3300, 711, 284, 5887, 280, 2020, 2634, 284, 803, 81, 9081, 280, 2107, 1220, 2634, 785, 284, 665, 1156, 1664, 3207, 784, 30, 4070, 711, 291, 2599, 26, 3495, 2634, 3300, 30, 630, 14585, 1664, 3207, 3550, 27, 284, 665, 617, 2208, 81, 2111, 81, 10546, 26, 784, 30, 1344, 711, 291, 436, 1628, 328, 1344, 32, 2998, 9442, 96, 7831, 324, 636, 30, 786, 280, 1628, 32, 2998, 16487, 683, 324, 636, 30, 786, 280, 636, 32, 7201, 1026, 786, 32, 7201, 346, 324, 415, 636, 610, 330, 1311, 950, 400, 630, 1114, 4519, 77, 426, 79, 280, 786, 324, 813, 44, 400, 630, 1114, 4519, 77, 426, 79, 280, 630, 32, 2416, 81, 4519, 26, 426, 30, 786, 27, 291, 442, 1044, 2699, 284, 665, 617, 1347, 81, 6580, 26, 784, 30, 1344, 711, 291, 4159, 280, 1044, 10255, 96, 46, 1001, 772, 687, 48, 2537, 377, 687, 855, 1001, 5213, 96, 2473, 1643, 26, 878, 27, 291, 442, 4159, 284, 665, 617, 371, 81, 22235, 26, 784, 30, 1914, 81, 681, 30, 1340, 711, 291, 1596, 44, 324, 442, 18299, 483, 32, 371, 81, 22235, 81, 1170, 81, 426, 26, 1855, 81, 681, 27, 291, 2940, 44, 324, 442, 18299, 483, 32, 23796, 81, 22235, 26, 687, 27, 284, 665, 617, 371, 81, 14548, 26, 784, 711, 291, 14971, 280, 13030, 8736, 26, 928, 500, 280, 2933, 30, 7328, 1057, 3310, 31, 42, 370, 6619, 1418, 1057, 1489, 2790, 370, 963, 8644, 1057, 3310, 31, 42, 370, 6619, 9712, 823, 1057, 978, 32725, 683, 291, 442, 14971, 284, 665, 617, 2208, 81, 687, 81, 10546, 26, 784, 30, 1447, 30, 1344, 711, 291, 415, 646, 30043, 32477, 44, 324, 442, 630, 1114, 1347, 81, 6580, 26, 878, 27, 291, 1596, 44, 324, 1914, 81, 681, 280, 4247, 324, 415, 18491, 328, 1447, 44, 400, 1914, 81, 681, 280, 1447, 32, 7201, 922, 2998, 3949, 11968, 35, 79, 324, 813, 44, 400, 1914, 81, 681, 280, 1447, 32, 7201, 346, 291, 2940, 44121, 44, 324, 1914, 81, 681, 280, 4247, 291, 29782, 280, 630, 1114, 371, 81, 22235, 26, 1855, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 5, 3, 3, 5, 5, 5, 2, 2, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 1, 1, 3, 5, 3, 3, 5, 2, 2, 3, 5, 4, 5, 5, 3, 3, 5, 2, 2, 3, 5, 3, 3, 2, 2, 5, 4, 4, 1, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 5, 2, 2, 5, 5, 4, 4, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 8, 7, 10, 9, 5, 5, 9, 9, 8, 8, 10, 11, 10, 12, 6, 6, 9, 9, 8, 8, 11, 12, 11, 9, 11, 12, 11, 6, 6, 7, 8, 8, 10, 10, 7, 7, 12, 13, 11, 12, 11, 10, 10, 7, 7, 8, 8, 8, 13, 14, 12, 13, 12, 11, 11, 13, 14, 14, 14, 13, 14, 13, 13, 13, 4, 4, 5, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 9, 8, 9, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 5, 5, 6, 6, 6, 8, 11, 10, 11, 11, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 10, 9, 9, 8, 8, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 8, 10, 9, 11, 11, 11, 11, 8, 8, 10, 9, 11, 11, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 7, 5, 5, 5, 7, 9, 10, 10, 10, 9, 10, 9, 4, 4, 5, 5, 5, 9, 9, 8, 8, 6, 6, 7, 8, 8, 7, 7, 7, 11, 11, 10, 10, 15, 16, 15, 14, 13, 15, 12, 11, 7, 7, 8, 8, 8, 12, 12, 11, 11, 13, 14, 13, 5, 5, 6, 6, 6, 6, 10, 10, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 9 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 5, 3, 3, 3, 3, 3, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 6, 3, 3, 3, 3, 0, 0, 0, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 2, 7, 7, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 5, 5, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 4, 4, 4, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 2, 1, 0, 7, 1, 1, 1, 2, 1, 1, 0, 9, 1, 1, 2, 4, 4, 1, 4, 4, 7, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1 ]
[ 100, 2993, 7595, 4684, 308, 311, 5810, 1247, 5799, 22959, 27, 9267, 372, 21627, 225, 38, 35, 36, 36, 32, 203, 2272, 2297, 7367, 26055, 14294, 4684, 308, 823, 14294, 27, 461, 322, 4442, 203, 6572, 35, 1026, 11171, 37, 1026, 11171, 38, 1026, 11171, 39, 346, 436, 17335, 1503, 225, 35, 30, 225, 37, 30, 225, 38, 30, 461, 225, 39, 203, 7595, 101, 619, 3191, 328, 21627, 225, 38, 35, 36, 36, 32, 203, 2797, 1169, 844, 2637, 438, 312, 5799, 2484, 30, 844, 1395, 7801, 1476, 11171, 35, 346, 556, 11171, 38, 922, 203, 5217, 688, 11171, 35, 346, 1631, 918, 2873, 27919, 4558, 561, 9585, 312, 14294, 6621, 203, 1382, 10670, 1182, 3984, 2965, 32, 225, 11171, 38, 346, 9585, 312, 3995, 14294, 32, 203, 18453, 1578, 6886, 44, 284, 8217, 1188, 11171, 284, 588, 1930, 312, 14294, 4122, 544, 322, 3408, 2484, 461, 1550, 1133, 284, 8217, 11171, 32, 6572, 35, 346, 284, 14294, 463, 83, 42, 34, 43, 42, 85, 35, 83, 31, 88, 42, 40, 87, 31, 35, 35, 1804, 31, 4184, 35, 83, 31, 34, 34, 35, 35, 36, 38, 38, 38, 864, 35, 87, 683, 284, 588, 1930, 312, 14294, 1471, 600, 19165, 39, 3677, 432, 312, 3583, 14294, 461, 312, 636, 284, 8217, 11171, 32, 6572, 37, 26, 6572, 32, 9621, 81, 17450, 30, 330, 2958, 32, 1088, 683, 284, 14294, 463, 40, 1919, 38, 39, 43, 4532, 31, 1291, 42, 83, 31, 37, 1173, 38, 31, 42, 43, 38, 87, 31, 1199, 41, 41, 87, 35, 40, 34, 37, 39, 39, 87, 683, 284, 588, 1930, 312, 3995, 14294, 284, 8217, 11171, 32, 6572, 38, 346, 284, 14294, 463, 35, 40, 2995, 36, 41, 34, 40, 31, 42, 36056, 31, 38, 37, 37, 84, 31, 42, 36, 872, 31, 42, 85, 41, 88, 4223, 42, 38, 41, 1804, 683, 284, 588, 1930, 312, 14294, 1471, 312, 11858, 31, 35, 3677, 432, 312, 3583, 14294, 461, 312, 636, 284, 8217, 11171, 32, 6572, 39, 26, 6572, 32, 9621, 81, 17450, 30, 330, 2958, 32, 1088, 683, 284, 14294, 463, 42, 42, 40, 37, 35, 37, 87, 35, 31, 37, 84, 42, 83, 31, 39, 37, 41, 36, 31, 43, 84, 43, 34, 31, 34, 85, 43, 36162, 35, 43, 43, 87, 39, 86, 683, 284, 588, 1930, 312, 14294, 645, 312, 802, 432, 9960, 16105, 308, 839, 2557, 461, 13458, 833, 1229, 10302, 27, 284, 8217, 816, 280, 11171, 32, 7595, 28302, 34, 34, 34, 35, 34, 36, 34, 37, 31, 34, 38, 34, 39, 31, 34, 40, 34, 41, 31, 34, 42, 34, 43, 31, 34, 83, 34, 84, 34, 85, 34, 86, 34, 87, 34, 88, 15837, 284, 588, 4483, 312, 14294, 372, 312, 802, 432, 9960, 16105, 328, 6216, 2234, 284, 8217, 596, 26, 106, 27, 284, 330, 34, 34, 34, 35, 34, 36, 34, 37, 31, 34, 38, 34, 39, 31, 34, 40, 34, 41, 31, 34, 42, 34, 43, 31, 34, 83, 34, 84, 34, 85, 34, 86, 34, 87, 34, 88, 25, 284, 588, 622, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5237, 203, 1070, 16672, 1188, 7098, 2825, 203, 1070, 26313, 1188, 16332, 203, 1070, 1133, 1188, 1133, 203, 1070, 457, 20322, 81, 14287, 1188, 2440, 290, 203, 1070, 457, 20322, 81, 14287, 32, 41411, 1188, 11203, 290, 14814, 203, 1070, 3995, 1188, 10477, 410, 30, 3995, 203, 1070, 3964, 81, 1855, 81, 2962, 1188, 3995, 81, 12895, 30, 3995, 81, 8442, 30, 3995, 81, 496, 30, 3995, 81, 3963, 30, 3995, 81, 18107, 203, 823, 24156, 295, 14814, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 15616, 81, 13547, 30, 5365, 81, 8200, 81, 965, 30, 8456, 711, 291, 786, 81, 3968, 280, 2440, 290, 32, 944, 463, 5379, 33, 38617, 32, 453, 545, 683, 291, 1359, 280, 301, 324, 330, 5172, 32, 13547, 950, 15616, 81, 13547, 30, 324, 330, 3968, 32, 8200, 32, 965, 950, 330, 525, 45268, 34, 16805, 1643, 26, 3968, 81, 8200, 81, 965, 27, 291, 320, 291, 630, 32, 5473, 280, 8456, 291, 630, 32, 32100, 280, 2933, 291, 630, 32, 416, 81, 1003, 280, 225, 34, 291, 630, 32, 23666, 280, 11203, 290, 14814, 26, 1163, 30, 1244, 81, 853, 81, 3968, 47, 853, 81, 3968, 27, 284, 665, 1156, 371, 81, 2962, 26, 784, 711, 291, 415, 3995, 346, 848, 225, 34, 32, 39, 44, 324, 298, 280, 3995, 81, 12895, 346, 324, 442, 301, 400, 330, 1311, 950, 298, 77, 34, 614, 400, 330, 4642, 950, 301, 528, 330, 3779, 81, 4548, 950, 298, 77, 35, 79, 400, 320, 324, 320, 291, 813, 44, 324, 298, 280, 3995, 81, 8442, 346, 324, 442, 301, 400, 330, 1311, 950, 298, 77, 34, 614, 400, 330, 4642, 950, 301, 528, 330, 277, 12967, 950, 298, 77, 35, 79, 400, 320, 324, 320, 284, 665, 1156, 5837, 3207, 784, 711, 291, 2464, 280, 629, 26, 1003, 1157, 291, 5576, 280, 630, 3667, 371, 81, 2962, 346, 291, 1825, 280, 301, 324, 330, 5561, 950, 2464, 30, 324, 330, 496, 950, 3995, 81, 496, 1026, 324, 330, 1311, 950, 5576, 710, 1311, 2188, 324, 330, 3963, 950, 3995, 81, 3963, 1026, 324, 330, 3647, 950, 3995, 81, 18107, 1026, 324, 330, 11619, 950, 10477, 410, 26, 34, 30, 225, 43, 471, 324, 330, 4642, 950, 5576, 710, 4642, 785, 291, 320, 291, 1459, 330, 28149, 301, 34, 111, 372, 26252, 25484, 1643, 26, 2812, 27, 291, 630, 32, 23666, 32, 17066, 26, 5473, 47, 784, 32, 5473, 30, 786, 47, 2812, 27, 291, 415, 646, 630, 32, 32100, 461, 2464, 333, 630, 32, 416, 81, 1003, 44, 324, 16332, 26, 35, 30, 630, 3667, 5837, 25566, 1366, 346, 284, 665, 1420, 26, 784, 30, 7918, 711, 291, 630, 32, 32100, 280, 3177, 291, 630, 32, 416, 81, 1003, 280, 629, 26, 1003, 1157, 474, 7918, 291, 630, 3667, 5837, 16369, 284, 665, 438, 81, 32100, 26, 784, 711, 291, 442, 630, 32, 32100, 284, 665, 438, 81, 10333, 26, 784, 711, 291, 442, 646, 630, 32, 32100, 284, 665, 4719, 26, 784, 711, 291, 630, 32, 32100, 280, 2933, 203, 325, 1156, 426, 505 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 12, 12, 12, 12, 11, 10, 11, 11, 11, 11, 11, 10, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 9, 10, 10, 10, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 6, 6, 7, 7, 7, 5, 5, 5, 8, 8, 10, 10, 10, 6, 6, 7, 8, 8, 11, 11, 9, 10, 11, 10, 8, 8, 11, 11, 9, 10, 10, 13, 13, 13, 13, 11, 12, 13, 12, 10, 10, 8, 8, 5, 5, 6, 6, 6, 9, 9, 11, 11, 11, 7, 7, 8, 9, 9, 12, 12, 10, 11, 12, 11, 9, 9, 12, 12, 10, 11, 11, 14, 14, 14, 12, 13, 14, 13, 11, 11, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 9, 11, 11, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 11, 10, 10, 11, 10, 7, 7, 10, 10, 8, 9, 11, 11, 7, 7, 4, 4, 5, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 9, 8, 10, 9, 10, 7, 7, 8, 9, 7, 4, 4, 5, 7, 8, 9, 6, 6, 7, 7, 8, 9, 9, 9, 5, 5, 5, 11, 12, 11, 11, 12, 13, 13, 10, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 9, 11, 11, 7, 7, 4, 4, 7, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 3, 3 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 0, 0, 1, 2, 2, 1, 2, 5, 2, 1, 2, 2, 2, 1, 2, 7, 0, 0, 1, 2, 2, 1, 2, 9, 0, 0, 1, 2, 2, 1, 2, 11, 0, 1, 1, 1, 1, 3, 1, 2, 2, 1, 2, 13, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 2, 1, 4, 4, 5, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 4, 4, 0, 2, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 2, 4, 4, 6, 2, 1, 2, 6, 6, 0, 2, 0, 0, 0, 9, 9, 0, 0 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 2613, 1188, 3320, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 1070, 540, 481, 416, 4595, 32, 86, 698, 18314, 1188, 3082, 81, 1297, 203, 1070, 540, 481, 416, 4595, 32, 978, 2304, 1188, 1930, 81, 11688, 81, 2433, 203, 81, 1536, 81, 2851, 81, 314, 280, 18623, 26, 3550, 30, 330, 24819, 81, 779, 370, 1665, 27, 203, 24819, 81, 779, 280, 4070, 3667, 823, 9818, 24819, 81, 779, 280, 1930, 81, 11688, 81, 2433, 346, 203, 823, 14790, 7294, 779, 11063, 26, 1473, 711, 284, 665, 2164, 81, 1357, 26, 784, 30, 1326, 711, 291, 415, 25487, 328, 1326, 32, 371, 81, 2035, 2262, 324, 5880, 30, 2601, 280, 1326, 32, 371, 81, 2035, 922, 2998, 16487, 683, 324, 415, 629, 26, 625, 27, 646, 328, 308, 42, 34, 30, 225, 38, 38, 37, 711, 400, 5880, 280, 1326, 32, 371, 81, 2035, 346, 291, 813, 44, 324, 5880, 280, 1326, 32, 371, 81, 2035, 922, 2998, 16487, 11968, 34, 79, 291, 3320, 81, 678, 280, 330, 7294, 44, 4116, 6069, 101, 25, 904, 5880, 291, 4755, 280, 3320, 32, 371, 26, 2613, 81, 678, 27, 291, 415, 4755, 44, 324, 358, 2345, 81, 779, 32, 853, 280, 4755, 291, 813, 44, 324, 4755, 280, 13957, 32, 464, 922, 2029, 463, 4116, 280, 370, 5880, 547, 371, 346, 324, 415, 646, 4755, 44, 400, 415, 5880, 32, 15990, 463, 1499, 32, 7831, 528, 17163, 81, 4116, 280, 5880, 77, 38, 10056, 400, 813, 44, 528, 17163, 81, 4116, 280, 330, 1499, 4564, 474, 5880, 400, 4755, 280, 13957, 32, 464, 922, 2029, 463, 4116, 280, 370, 17163, 81, 4116, 547, 371, 346, 324, 415, 646, 4755, 461, 18623, 26, 3550, 30, 330, 6037, 81, 69, 34193, 81, 32984, 5650, 722, 1102, 31578, 370, 1891, 2933, 711, 400, 4755, 280, 3082, 81, 1297, 26, 7294, 30, 5880, 47, 4116, 30, 636, 47, 4116, 27, 400, 4755, 32, 524, 346, 324, 415, 4755, 44, 400, 358, 2345, 81, 779, 32, 853, 280, 596, 26, 2851, 32, 678, 1157, 324, 813, 44, 400, 358, 2345, 81, 779, 32, 853, 280, 617, 1536, 81, 2851, 81, 314, 324, 3320, 32, 470, 26, 2613, 81, 678, 30, 358, 2345, 81, 779, 32, 853, 30, 225, 39, 28, 40, 34, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 4, 4, 0, 3, 3, 3, 2, 2, 5, 6, 6, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 8, 9, 9, 9, 8, 5, 5, 9, 9, 8, 8, 12, 13, 13, 13, 12, 11, 10, 12, 6, 6, 7, 10, 11, 10, 8, 8, 8, 10, 10, 9, 9, 10, 10, 10, 9, 7, 7, 10, 10, 12, 13, 13, 13, 12, 5, 5, 6, 6, 6, 9, 9, 14, 15, 15, 15, 14, 13, 12, 14, 11, 10, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 5, 5, 5, 5, 10, 10, 10, 9, 10, 8, 8, 5, 5, 6, 6, 6, 9, 9, 15, 16, 15, 14, 13, 15, 15, 15, 13, 13, 12, 11, 7, 7, 8, 9, 8, 8, 8, 10, 12, 13, 12, 14, 14, 14, 10, 10, 14, 14, 13, 13, 14, 16, 15, 10, 10, 11, 11, 11, 15, 15, 14, 14, 17, 17, 15, 15, 9, 9, 11, 11, 17, 18, 17, 16, 15, 17, 17, 17, 15, 16, 16, 15, 14, 13, 7, 7, 8, 10, 9, 9, 11, 12, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 8, 8, 11, 11, 13, 13, 13, 14, 13, 13, 14, 15, 13, 13, 14, 15, 13, 9, 9, 12, 13, 12, 7, 7, 8, 8, 8, 8, 13, 13, 13, 12, 13, 11, 11, 13, 16, 15, 16, 15, 8, 8, 9, 9, 9, 14, 14, 14, 13, 14, 12, 12, 13, 13, 13, 13, 13, 7, 7, 10, 11, 10, 11, 11, 11, 10, 10, 12, 12, 12, 11, 12, 10, 10, 12, 11, 12, 12, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 2, 0, 0, 3, 3, 4, 4, 4, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 3, 3, 0, 2, 1, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 3, 3, 4, 4, 4, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 2, 1, 1, 0, 5, 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 ]
[ 465, 11685, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 1188, 22508, 619, 1869, 203, 1070, 4377, 1439, 1188, 3772, 38469, 30, 1709, 1889, 13976, 203, 1070, 4377, 7982, 32, 5210, 3767, 1188, 6092, 3767, 81, 31818, 203, 1070, 4377, 32370, 1188, 9286, 8770, 203, 1070, 4377, 2304, 32, 6460, 1188, 1505, 81, 955, 30, 1505, 81, 297, 81, 4698, 3251, 203, 1070, 4377, 2304, 32, 6460, 1188, 617, 286, 4677, 332, 81, 39843, 81, 1132, 203, 1070, 4377, 2304, 32, 15378, 22495, 1188, 281, 545, 81, 24005, 81, 5082, 81, 34, 203, 1070, 4377, 2304, 32, 7740, 295, 386, 1188, 1505, 81, 15210, 81, 12443, 203, 823, 8026, 13790, 12280, 1633, 26, 15401, 13976, 30, 3772, 38469, 711, 284, 33329, 286, 4677, 332, 81, 39843, 81, 1132, 284, 665, 1156, 1664, 3207, 784, 30, 10021, 1057, 87, 34986, 370, 9305, 27549, 81, 10402, 47, 2521, 711, 291, 630, 32, 7263, 280, 10021, 291, 630, 32, 26845, 81, 10402, 280, 27549, 81, 10402, 284, 665, 8157, 26, 784, 30, 1593, 30, 533, 711, 291, 415, 630, 32, 7263, 610, 330, 1001, 24544, 950, 324, 3636, 10091, 440, 2626, 24544, 438, 646, 5420, 7144, 291, 415, 630, 32, 7263, 610, 330, 1588, 90, 3131, 278, 950, 324, 1593, 30, 533, 280, 630, 1114, 4635, 81, 605, 26, 74, 30, 533, 30, 5514, 81, 15378, 11414, 42738, 3490, 291, 813, 44, 324, 1593, 30, 533, 280, 630, 1114, 4635, 81, 605, 26, 74, 30, 533, 30, 5514, 81, 15378, 11414, 23071, 370, 330, 42738, 3490, 291, 438, 81, 74, 81, 15378, 280, 1869, 32, 297, 15378, 26, 74, 27, 291, 415, 438, 81, 74, 81, 15378, 461, 630, 32, 26845, 81, 10402, 44, 324, 3636, 10091, 440, 10402, 27549, 299, 646, 5420, 20, 6035, 313, 436, 22508, 1509, 657, 291, 1505, 81, 15210, 81, 12443, 26, 107, 27, 291, 310, 81, 7088, 30, 310, 81, 5905, 280, 1593, 32, 3229, 291, 999, 280, 9286, 8770, 346, 291, 533, 81, 552, 280, 999, 32, 4698, 81, 3792, 26, 107, 27, 291, 630, 32, 4820, 81, 280, 6015, 280, 999, 32, 4820, 81, 291, 310, 81, 4820, 280, 6015, 32, 891, 291, 415, 310, 81, 4820, 333, 225, 36, 44, 324, 3636, 10091, 463, 1318, 1451, 432, 6015, 1401, 372, 526, 10761, 2784, 25, 6035, 330, 1591, 45, 5424, 904, 86, 443, 25, 904, 308, 96, 81, 4820, 490, 291, 630, 32, 36150, 101, 81, 280, 2065, 32, 2951, 1162, 96, 81, 4820, 30, 310, 81, 5905, 471, 9710, 47, 2356, 32, 1808, 40, 38, 27, 291, 310, 93, 280, 2065, 32, 9880, 26, 96, 81, 4820, 27, 291, 436, 2738, 81, 823, 328, 2155, 26, 96, 81, 4820, 711, 324, 4193, 81, 3965, 280, 533, 81, 552, 610, 2738, 81, 823, 324, 310, 93, 77, 1537, 81, 823, 79, 280, 2065, 32, 1036, 26, 2390, 81, 3965, 27, 324, 415, 438, 81, 74, 81, 15378, 44, 400, 4193, 81, 3965, 280, 2065, 32, 2767, 26, 2390, 81, 3965, 5594, 34, 79, 324, 415, 630, 32, 7263, 610, 313, 1588, 90, 3131, 278, 563, 400, 415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 2, 2, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 6, 5, 5, 6, 8, 8, 8, 5, 5, 7, 7, 6, 7, 5, 4, 4, 8, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 8, 8, 8, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 4, 4, 5, 7, 8, 6, 6, 8, 8, 8, 8, 8, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 10, 10, 10, 12, 12, 11, 14, 14, 5, 5, 6, 6, 6, 10, 10, 9, 9, 11, 12, 12, 12, 11, 12, 11, 11, 11, 11, 13, 13, 12, 15, 15, 13, 15, 15, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 5, 7, 7, 7, 7, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 4, 4, 7, 7, 7, 7, 7, 8, 7, 4, 4, 8, 8, 7, 7, 8, 8, 6, 6, 7, 8, 4, 4, 6, 6, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 8, 6, 6, 7, 7, 8, 9, 9, 4, 4, 7, 7, 6, 6, 7, 8, 4, 4, 5, 7, 7, 6, 6, 7, 5, 5, 5, 7, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 10, 10, 12, 12, 12, 11, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 9, 9, 10, 10, 9, 8, 9, 11, 10, 11, 11, 11, 8, 4, 4, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 8, 8, 7, 5, 5, 9, 9, 8, 8, 10, 10, 9, 9, 10, 10, 6, 6, 10, 9, 10, 10, 10, 9, 8, 8, 10, 11, 10, 11, 11, 11, 10, 6, 6, 7, 8, 8, 8, 8, 7, 7, 7, 11, 11, 10, 10, 13, 14, 13, 14, 14, 14, 13, 12, 11, 6, 6, 7, 9, 10, 8, 8, 10, 10, 10, 10, 10, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 1, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 10, 10, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 10, 10, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 2, 2, 0, 0, 7, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 5, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 5, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 3, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 10, 0, 0, 1, 1, 2, 10, 10, 10, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 13, 1, 1, 13, 13, 1, 1, 1, 1, 1, 13, 13, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 5, 5, 3, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3 ]
[ 465, 15798, 203, 1070, 894, 81, 3592, 1188, 1420, 81, 18986, 203, 465, 27374, 203, 823, 43969, 20845, 26, 18986, 32, 7233, 711, 284, 665, 622, 81, 3893, 81, 1643, 26, 784, 30, 3420, 30, 13489, 711, 291, 1596, 44, 324, 3420, 346, 291, 2940, 13489, 30, 786, 44, 324, 442, 27374, 32, 1643, 81, 3893, 81, 2585, 26, 14806, 30, 786, 27, 291, 813, 44, 324, 3636, 10091, 30, 313, 1851, 4142, 646, 3636, 3756, 20, 284, 665, 8345, 81, 731, 81, 1793, 81, 22372, 26, 784, 711, 291, 8329, 440, 589, 8434, 26, 106, 48775, 96, 78, 102, 601, 816, 14351, 96, 392, 313, 14206, 313, 2493, 657, 284, 665, 8345, 81, 731, 81, 12655, 81, 22372, 26, 784, 711, 291, 1188, 310, 542, 43653, 284, 665, 894, 81, 22372, 26, 784, 711, 291, 1137, 280, 630, 32, 371, 81, 3893, 81, 1643, 26, 784, 32, 8144, 81, 731, 81, 1793, 81, 22372, 30, 2476, 14277, 924, 27, 291, 630, 32, 862, 5908, 1657, 26, 530, 27, 610, 225, 38, 27, 291, 630, 32, 862, 81, 29318, 20, 328, 1137, 77, 36, 1130, 4456, 630, 32, 862, 5908, 530, 77, 35, 997, 7201, 346, 610, 313, 601, 816, 15981, 284, 665, 894, 81, 27405, 43653, 26, 784, 711, 291, 1137, 280, 630, 32, 371, 81, 3893, 81, 1643, 26, 784, 32, 8144, 81, 731, 81, 12655, 81, 22372, 30, 2476, 14277, 924, 27, 291, 630, 32, 862, 5908, 1657, 26, 530, 27, 610, 225, 37, 27, 291, 630, 32, 862, 5908, 530, 77, 35, 997, 7201, 346, 610, 7185, 106, 436, 816, 328, 816, 79, 280, 816, 657, 203, 1945, 81, 18986, 26, 23499, 20845, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 9, 5, 5, 6, 6, 6, 6, 6, 6, 8, 10, 11, 11, 11, 11, 11, 10, 11, 10, 10, 10, 5, 5, 6, 6, 6, 8, 9, 9, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 9, 10, 10, 10, 9, 9, 9, 10, 9, 7, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 9, 8, 4, 4, 7, 8, 8, 10, 10, 11, 10, 8, 8, 9, 7, 4, 4, 7, 8, 8, 7, 10, 8, 8, 9, 10, 9, 4, 4, 7, 8, 8, 12, 11, 12, 11, 11, 10, 8, 8, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 9, 8, 4, 4, 7, 8, 8, 10, 10, 11, 10, 8, 8, 9, 7, 4, 4, 7, 8, 8, 12, 11, 12, 11, 11, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 3, 3, 3, 3, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 7138, 203, 465, 2361, 203, 465, 35094, 203, 1070, 14323, 1188, 14323, 203, 465, 18792, 203, 1070, 8206, 13835, 32, 3164, 32, 2122, 1188, 4851, 203, 1070, 8206, 13835, 32, 28783, 1188, 13423, 203, 1070, 2959, 496, 32, 327, 1729, 1188, 19199, 1761, 984, 30, 3268, 4672, 203, 1070, 8206, 13835, 32, 1840, 32, 525, 1188, 4448, 203, 1070, 2959, 496, 32, 1840, 32, 26298, 1188, 11024, 13536, 203, 505, 2116, 505, 280, 330, 1848, 12856, 108, 31, 93, 311, 25, 203, 823, 13698, 2526, 8770, 26, 1260, 32, 3265, 8770, 711, 284, 665, 1244, 26, 784, 30, 337, 711, 291, 415, 6937, 26, 97, 30, 308, 6665, 32, 6665, 30, 7138, 32, 770, 8531, 324, 442, 337, 32, 9328, 1643, 346, 291, 415, 19326, 26, 97, 30, 11477, 1260, 505, 7831, 324, 442, 337, 3667, 1260, 16369, 291, 415, 19326, 26, 97, 30, 11477, 9941, 505, 7831, 324, 442, 337, 3667, 9941, 16369, 291, 415, 19326, 26, 97, 30, 11477, 2665, 505, 7831, 324, 442, 337, 3667, 2665, 505, 291, 442, 337, 203, 589, 619, 81, 1260, 26, 97, 711, 284, 442, 2361, 32, 16958, 26, 97, 30, 7279, 81, 14510, 47, 2700, 30, 9011, 47, 6996, 2526, 8770, 30, 7328, 1057, 3310, 31, 42, 1814, 4434, 463, 3310, 31, 42, 683, 203, 589, 4125, 81, 1959, 26, 1298, 711, 284, 477, 6381, 288, 7550, 32, 4071, 101, 26, 1298, 27, 284, 477, 7353, 32, 3221, 17760, 284, 665, 7767, 2740, 1132, 30, 1115, 5321, 711, 291, 1596, 44, 324, 1056, 280, 6761, 3420, 2740, 1132, 30, 1115, 5321, 27, 291, 2940, 11024, 13536, 44, 324, 3636, 291, 2940, 19199, 1761, 984, 619, 484, 44, 324, 1056, 280, 484, 291, 2940, 3268, 619, 484, 44, 324, 1056, 280, 3268, 4672, 26, 87, 27, 291, 415, 2069, 26, 1132, 27, 848, 225, 35, 461, 6937, 26, 1132, 77, 35, 614, 4448, 711, 324, 2181, 77, 35, 997, 31429, 463, 1286, 31, 681, 370, 330, 3164, 33, 1260, 45, 8485, 47, 3310, 31, 42, 683, 291, 13423, 32, 28439, 26, 302, 81, 1260, 26, 1267, 490, 284, 442, 7767, 203, 589, 10061, 81, 33261, 26, 2067, 30, 319, 1132, 30, 1115, 5321, 711, 276, 3636, 10091, 26, 103, 25, 1657, 26, 1132, 27, 2298, 526, 848, 225, 34, 683, 284, 4348, 2069, 26, 1132, 27, 610, 225, 35, 44, 291, 442, 2830, 32, 371, 26, 1132, 77, 34, 614, 1244, 27, 284, 813, 44, 291, 442, 10061, 81, 33261, 26, 2067, 32, 371, 26, 1132, 77, 34, 5727, 319, 1132, 77, 35, 23751, 1115, 5321, 27, 203, 589, 2298, 81, 864, 81, 30594, 26, 1298, 711, 284, 477, 6381, 288, 7550, 32, 4071, 101, 26, 1298, 27, 284, 665, 7767, 2740, 1132, 30, 1115, 5321, 711, 291, 442, 13423, 32, 16877, 25398, 26, 1298, 30, 319, 1132, 30, 1115, 5321, 27, 284, 442, 7767, 203, 589, 10061, 81, 410, 26, 853, 711, 284, 1596, 44, 291, 442, 629, 26, 853, 27, 284, 2940, 10091, 44, 291, 442, 786, 203, 589, 622, 81, 1132, 26, 1357, 711, 284, 1795, 280, 1326, 32, 1286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 10, 9, 10, 8, 8, 9, 10, 8, 5, 5, 7, 9, 10, 10, 9, 4, 4, 5, 7, 8, 7, 7, 9, 9, 9, 5, 5, 7, 9, 10, 10, 4, 4, 5, 7, 8, 7, 7, 9, 9, 9, 5, 5, 7, 9, 10, 10, 4, 4, 5, 7, 8, 7, 7, 9, 9, 9, 5, 5, 7, 8, 9, 9, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 7, 8, 7, 8, 7, 7, 9, 9, 8, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 10, 10, 10, 10, 6, 5, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 7, 7, 7, 6, 7, 7, 6, 7, 6, 3, 3, 6, 5, 6, 6, 3, 3, 4, 5, 7, 5, 5, 7, 5, 4, 4, 6, 6, 6, 9, 9, 10, 12, 14, 12, 12, 14, 12, 6, 6, 7, 8, 7, 7, 7, 6, 6, 7, 9, 9, 8, 8, 7, 7, 7, 10, 10, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 12, 12, 13, 12, 5, 5, 6, 10, 11, 10, 8, 8, 9, 7, 7, 9, 11, 10, 11, 10, 9, 9, 6, 6, 11, 12, 11, 11, 10, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 8, 9, 8, 10, 10, 10, 10, 11, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 3, 4, 5, 4, 2, 2, 3, 1, 0, 0, 1, 3, 4, 3, 5, 4, 5, 4, 3, 3, 1, 1, 1, 0, 0, 1, 3, 3, 3, 6, 5, 6, 5, 7, 6, 7, 6, 3, 6, 5, 7, 6, 3, 5, 3, 1, 1, 1, 3, 3, 3, 3, 3, 4, 3, 0, 0, 5, 5, 5, 4, 5, 5, 4, 5, 4, 1, 1, 2, 3, 5, 3, 3, 5, 3, 2, 2, 4, 6, 7, 7, 6, 7, 6, 6, 8, 6, 6, 8, 6, 0, 0, 1, 1, 1, 1, 3, 3, 3, 4, 3, 1, 1, 1, 2, 2, 5, 7, 8, 7, 3, 3, 4, 4, 4, 4, 6, 3, 4, 2, 4, 4, 4, 5, 4, 2, 2, 4, 4, 5, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 2, 7, 7, 0, 0, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 2, 0, 1, 2, 2, 2, 11, 11, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 3, 3, 3, 2, 3, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 2, 2, 4, 4, 4, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 2, 2, 1, 1, 7, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 0, 0, 4, 0, 0, 1, 1, 4, 4, 4, 0, 0, 0, 0, 5, 1, 1, 5, 5, 5, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 14, 14, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 14, 14, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 15, 0, 0, 16, 0, 2, 1, 0, 1, 2, 1, 1, 1, 17, 17, 17, 0, 0, 18, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 19, 19, 19, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 20, 20, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 21, 22, 22, 22, 0, 0, 1, 1, 1, 22, 22, 22, 5, 5, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 3, 5, 0, 0, 1, 1, 1, 5, 5, 0, 0, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 20654, 203, 1070, 11385, 36492, 32, 1262, 1188, 9261, 203, 1070, 11385, 36492, 32, 1262, 32, 29143, 1188, 27182, 30, 619, 81, 410, 30, 2155, 203, 1070, 11385, 36492, 32, 16064, 32, 1731, 6975, 1188, 21096, 203, 1070, 13625, 1188, 31466, 203, 823, 447, 2947, 1012, 26, 7099, 711, 284, 617, 777, 103, 1012, 81, 13707, 280, 1665, 284, 617, 3242, 81, 13707, 280, 1665, 284, 617, 5459, 280, 1665, 284, 617, 6557, 280, 1665, 284, 477, 2433, 284, 665, 1148, 103, 1012, 81, 13707, 26, 784, 711, 291, 415, 630, 1114, 777, 103, 1012, 81, 13707, 438, 1665, 44, 324, 630, 1114, 777, 103, 1012, 81, 13707, 280, 630, 32, 452, 81, 777, 103, 1012, 26, 784, 1114, 3242, 81, 13707, 2867, 614, 630, 32, 5459, 27, 291, 442, 630, 1114, 777, 103, 1012, 81, 13707, 284, 477, 2433, 284, 665, 4345, 81, 13707, 26, 784, 711, 291, 415, 630, 1114, 3242, 81, 13707, 438, 1665, 44, 324, 630, 1114, 3242, 81, 13707, 280, 630, 32, 452, 81, 3242, 26, 784, 1114, 777, 103, 1012, 81, 13707, 2867, 1130, 291, 442, 630, 1114, 3242, 81, 13707, 284, 477, 2433, 284, 665, 5166, 26, 784, 711, 291, 442, 630, 1114, 5459, 284, 477, 2433, 284, 665, 11263, 26, 784, 711, 291, 415, 630, 1114, 6557, 438, 1665, 44, 324, 630, 1114, 6557, 280, 630, 32, 777, 103, 1012, 81, 6557, 346, 291, 442, 630, 1114, 6557, 284, 477, 2433, 284, 665, 1334, 26, 784, 711, 291, 442, 630, 32, 5586, 26, 784, 32, 6557, 547, 5586, 922, 6557, 474, 225, 35, 284, 477, 16099, 284, 665, 372, 81, 777, 103, 1012, 26, 3242, 30, 310, 711, 291, 343, 280, 31466, 26, 410, 27, 291, 498, 280, 1605, 291, 436, 6731, 328, 4345, 44, 324, 343, 77, 5854, 77, 34, 3212, 1454, 225, 35, 324, 343, 77, 5854, 77, 35, 3212, 1454, 225, 35, 291, 436, 595, 328, 2155, 26, 96, 429, 225, 36, 711, 324, 436, 816, 328, 2155, 26, 96, 711, 400, 415, 343, 77, 106, 79, 610, 225, 35, 44, 528, 1626, 324, 533, 280, 1665, 324, 436, 6731, 328, 4345, 44, 400, 415, 816, 610, 6731, 77, 34, 2786, 528, 533, 280, 6731, 77, 35, 79, 400, 4348, 816, 610, 6731, 77, 35, 2786, 528, 533, 280, 6731, 77, 34, 79, 400, 415, 533, 438, 646, 1665, 44, 528, 1626, 324, 498, 32, 1689, 26, 107, 27, 324, 436, 594, 328, 308, 106, 30, 533, 711, 400, 343, 77, 92, 79, 5912, 225, 35, 400, 415, 646, 343, 77, 92, 2786, 528, 343, 32, 3235, 26, 92, 27, 324, 4345, 32, 2546, 26, 5854, 27, 291, 442, 498, 284, 477, 16099, 284, 665, 372, 81, 3242, 26, 777, 103, 1012, 711, 291, 4345, 280, 1605, 291, 2401, 280, 1605, 291, 310, 280, 2069, 26, 777, 103, 1012, 27, 474, 225, 36, 291, 343, 280, 31466, 26, 5962, 44, 225, 35, 27, 291, 436, 298, 328, 1148, 103, 1012, 44, 324, 343, 77, 98, 79, 1454, 225, 35, 291, 436, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 9, 9, 7, 7, 6, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 11, 12, 12, 12, 12, 12, 11, 14, 13, 14, 14, 14, 12, 12, 11, 12, 13, 11, 5, 5, 6, 7, 8, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 7, 7, 6, 6, 6, 10, 11, 11, 11, 9, 9, 11, 12, 12, 12, 11, 14, 13, 14, 14, 14, 14, 14, 12, 12, 5, 5, 6, 7, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 7, 7, 6, 6, 6, 10, 11, 9, 9, 11, 12, 12, 12, 12, 12, 11, 5, 5, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 12, 13, 12, 14, 13, 14, 12, 11, 10, 9, 7, 7, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 9, 10, 9, 5, 5, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 10, 12, 11, 12, 11, 9, 9, 10, 7, 7, 10, 12, 11, 12, 11, 9, 9, 10, 5, 5, 6, 6, 6, 8, 10, 9, 9, 10, 8, 6, 6, 8, 8, 8, 10, 11, 10, 8, 8, 10, 12, 13, 12, 11, 11, 12, 10, 10, 10, 7, 7, 9, 9, 7, 7, 8, 8, 8, 8, 8, 8, 10, 11, 11, 12, 13, 12, 10, 10, 13, 13, 14, 15, 14, 10, 10, 11, 12, 12, 13, 14, 13, 11, 11, 14, 14, 15, 16, 15, 9, 9, 10, 11, 11, 11, 10, 10, 10, 7, 7, 10, 11, 10, 11, 10, 7, 7, 8, 8, 8, 10, 9, 9, 9, 8, 8, 12, 13, 12, 11, 11, 12, 9, 9, 10, 11, 12, 13, 12, 10, 10, 14, 15, 14, 15, 14, 7, 7, 10, 11, 10, 11, 10, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 6, 6, 5, 4, 4, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 10, 11, 11, 11, 10, 8, 8, 9, 5, 5, 7, 7, 9, 10, 10, 10, 11, 9, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 10, 11, 10, 9, 9, 10, 5, 5, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 2, 2, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 3, 2, 1, 4, 4, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 5, 5, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 4, 4, 1, 1, 2, 2, 2, 4, 4, 1, 6, 6, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 7, 7, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 2, 4, 4, 1, 8, 8, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 4, 4, 1, 9, 9, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 4, 4, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 5, 5, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 3, 3, 3, 1, 0, 1, 1, 2, 1, 3, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 5, 5, 0, 0, 5, 5, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 4, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 5, 5, 4, 4, 4, 1, 3, 3, 3, 4, 4, 0, 2, 0, 0, 0, 2, 5, 5, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 4, 4, 4, 4, 4, 1, 10, 10, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 0, 2, 0, 0, 0, 2, 4, 4, 5 ]
[ 465, 13625, 203, 465, 5237, 203, 465, 4395, 203, 1070, 18792, 1188, 18054, 203, 1070, 281, 15130, 1580, 1188, 14735, 203, 1070, 281, 15130, 1580, 1188, 8745, 203, 1070, 281, 15130, 1580, 1188, 1695, 203, 1070, 281, 15130, 1580, 32, 4882, 32, 2243, 1188, 8745, 619, 894, 81, 2304, 203, 7595, 280, 330, 42, 87, 42, 735, 40, 39, 42, 31, 85, 41, 84, 34, 31, 38, 36, 38, 37, 31, 31624, 42, 31, 40, 88, 41, 88, 36, 43, 39, 36, 85, 34, 86, 34, 25, 203, 823, 18883, 2291, 26, 1473, 711, 284, 8912, 81, 11486, 280, 330, 426, 25, 284, 665, 1156, 1664, 3207, 784, 30, 617, 314, 30, 4308, 711, 291, 630, 32, 314, 280, 617, 314, 291, 1596, 44, 324, 630, 32, 426, 280, 4308, 710, 426, 785, 291, 2940, 25085, 44, 324, 3097, 203, 823, 18883, 1572, 26, 1439, 32, 1572, 1554, 4868, 711, 284, 2869, 81, 823, 280, 18883, 2291, 284, 6086, 280, 428, 291, 18883, 2291, 463, 35, 36, 37, 38, 370, 5053, 426, 950, 330, 2225, 81, 658, 45306, 291, 18883, 2291, 26, 7595, 30, 5053, 426, 950, 330, 2225, 81, 8268, 45306, 291, 18883, 2291, 463, 39, 40, 41, 42, 370, 5053, 426, 950, 330, 43, 42, 41, 40, 18143, 284, 1481, 284, 665, 622, 26, 784, 30, 2869, 81, 314, 711, 291, 436, 2869, 328, 630, 32, 5379, 44, 324, 415, 2869, 32, 314, 610, 596, 26, 3142, 81, 314, 711, 400, 442, 2869, 291, 3636, 14735, 32, 5965, 26, 3142, 81, 314, 27, 284, 665, 1149, 26, 784, 30, 3233, 81, 6363, 711, 291, 442, 630, 32, 5379, 203, 823, 18883, 3933, 2291, 26, 1473, 711, 284, 8912, 81, 11486, 280, 330, 2751, 81, 426, 25, 284, 665, 1156, 1664, 3207, 784, 30, 617, 314, 30, 4308, 711, 291, 630, 32, 314, 280, 617, 314, 291, 1596, 44, 324, 630, 32, 2751, 81, 426, 280, 4308, 710, 2751, 81, 426, 785, 291, 2940, 25085, 44, 324, 3097, 203, 823, 18883, 3933, 1572, 26, 13190, 1572, 711, 284, 2869, 81, 823, 280, 18883, 3933, 2291, 284, 6086, 280, 428, 291, 18883, 3933, 2291, 463, 38, 36, 38, 36, 370, 5053, 2751, 81, 426, 950, 330, 2225, 81, 12192, 45306, 284, 1481, 203, 823, 7477, 2291, 7233, 26, 858, 81, 2304, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 4868, 2291, 7233, 30, 630, 547, 23741, 346, 291, 630, 32, 4018, 280, 18883, 1572, 26, 2521, 27, 284, 665, 894, 81, 1809, 81, 4108, 26, 784, 711, 291, 630, 32, 4018, 32, 1809, 280, 4395, 32, 3660, 26, 2671, 81, 7469, 47, 784, 32, 4018, 32, 1809, 27, 291, 630, 32, 23895, 26, 11452, 32, 2019, 924, 30, 3775, 8745, 32, 1809, 81, 3142, 30, 3775, 630, 32, 4018, 30, 3775, 330, 28343, 683, 291, 630, 32, 5299, 26, 36, 30, 630, 32, 4018, 32, 1809, 32, 1851, 81, 998, 27, 284, 665, 894, 81, 1809, 81, 1170, 81, 5823, 81, 314, 26, 784, 711, 291, 1688, 280, 8745, 32, 1809, 81, 3142, 26, 784, 32, 4018, 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, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 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, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 5, 5, 5, 9, 10, 8, 8, 9, 11, 11, 5, 5, 6, 6, 6, 6, 0, 1, 1, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 4, 4, 5, 5, 7, 7, 9, 9, 9, 9, 9, 7, 11, 11, 9, 11, 11, 11, 11, 5, 5, 7, 7, 8, 7, 7, 11, 11, 9, 11, 11, 11, 11, 5, 5, 7, 7, 9, 9, 9, 9, 9, 7, 11, 11, 9, 11, 11, 11, 11, 11, 5, 5, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 7, 9, 10, 8, 8, 10, 11, 11, 11, 10, 7, 7, 9, 4, 4, 5, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 5, 5, 5, 9, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 5, 5, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2, 4, 4, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 7, 11, 11, 11, 11, 9, 11, 11, 11, 11, 5, 5, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 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, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 6, 6, 8, 9, 8, 10, 10, 10, 9, 12, 11, 12, 10, 11, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 7, 8, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 7, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 9, 10, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 6, 6, 0, 0, 6, 6, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 3, 3, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 4, 4, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 3, 3, 3, 3, 0, 10, 10, 1, 2, 0, 1, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 2, 4, 4, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 1, 2, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 4, 4, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 0, 12, 12, 1, 1, 2, 1, 1, 2, 12, 12, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 13, 13, 1, 1, 2, 0, 0, 0, 1, 2, 2, 13, 13, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 3, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1 ]
[ 465, 5237, 203, 3731, 32, 983, 32, 1689, 4207, 3699, 33, 86, 33, 39567, 33, 1007, 29594, 203, 3731, 32, 983, 32, 1689, 4207, 2833, 33, 86, 33, 39567, 33, 1007, 29594, 203, 465, 15798, 203, 1070, 309, 3712, 980, 32, 1262, 32, 22288, 1188, 475, 481, 203, 1070, 309, 3712, 980, 32, 5459, 1188, 27763, 1512, 1212, 203, 1070, 309, 3712, 980, 32, 5459, 32, 3812, 1188, 4401, 1212, 30, 4175, 1212, 203, 823, 894, 3406, 14066, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 858, 47841, 280, 475, 481, 463, 784, 32, 858, 47841, 370, 2267, 2333, 47, 2700, 27, 284, 665, 894, 5717, 5909, 26, 784, 711, 291, 1541, 35, 280, 4401, 1212, 440, 8617, 392, 786, 47, 36, 27, 291, 1541, 36, 280, 4401, 1212, 440, 19630, 392, 786, 47, 38, 27, 291, 1541, 37, 280, 4175, 1212, 440, 48613, 392, 4212, 347, 1103, 657, 291, 1541, 38, 280, 4401, 1212, 440, 8617, 36, 392, 786, 47, 36, 27, 291, 1541, 39, 280, 4175, 1212, 440, 48613, 36, 392, 4212, 347, 1103, 657, 291, 1541, 1074, 280, 27763, 1512, 1212, 463, 10686, 1512, 1074, 683, 291, 630, 32, 858, 47841, 32, 3517, 1212, 26, 2544, 47, 1251, 35, 30, 2838, 47, 1251, 37, 30, 9222, 383, 347, 83, 657, 291, 630, 32, 858, 47841, 32, 3517, 1212, 26, 2544, 47, 1251, 36, 30, 2838, 47, 1251, 37, 30, 9222, 383, 347, 84, 657, 291, 630, 32, 858, 47841, 32, 3517, 1212, 26, 2544, 47, 1251, 38, 30, 2838, 47, 1251, 39, 30, 9222, 383, 347, 83, 657, 291, 630, 32, 858, 47841, 32, 3517, 1212, 26, 2544, 47, 1251, 37, 30, 2838, 47, 1251, 39, 30, 9222, 383, 347, 84, 657, 291, 630, 32, 858, 47841, 32, 3517, 1212, 26, 2544, 47, 1251, 39, 30, 2838, 47, 1251, 1074, 27, 291, 630, 32, 858, 47841, 32, 470, 12506, 26, 1251, 1074, 27, 291, 630, 32, 858, 47841, 32, 1877, 346, 291, 630, 32, 5299, 26, 1251, 1074, 32, 605, 1365, 695, 3439, 225, 42, 27, 284, 665, 1593, 81, 858, 15706, 5909, 26, 784, 711, 291, 5881, 291, 2108, 15443, 5166, 32, 291, 5881, 291, 630, 32, 858, 47841, 280, 630, 32, 858, 11030, 32, 669, 7314, 440, 2402, 81, 11030, 81, 858, 657, 291, 1541, 1074, 280, 4004, 81, 1120, 440, 936, 12437, 657, 291, 630, 32, 858, 47841, 32, 470, 12506, 26, 1251, 1074, 27, 291, 17218, 280, 4004, 81, 7129, 440, 7129, 657, 291, 1541, 2863, 35, 280, 4004, 81, 2863, 81, 4615, 440, 1006, 81, 2863, 35, 657, 291, 1541, 1776, 35, 280, 4004, 81, 4615, 81, 452, 81, 2344, 440, 4859, 35, 657, 291, 1541, 2863, 36, 280, 4004, 81, 2863, 81, 18809, 20792, 440, 1006, 81, 2863, 36, 657, 291, 1541, 1776, 36, 280, 4004, 81, 2344, 81, 452, 81, 4615, 440, 4859, 36, 657, 291, 630, 32, 858, 47841, 32, 3517, 1212, 26, 2544, 47, 1251, 2863, 35, 30, 2838, 47, 1251, 1776, 35, 30, 9222, 383, 347, 2067, 657, 291, 630, 32, 858, 47841 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 8, 10, 10, 10, 10, 10, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 8, 10, 10, 8, 9, 10, 8, 4, 4, 7, 6, 6, 8, 8, 10, 10, 8, 9, 10, 8, 4, 4, 7, 6, 6, 8, 8, 10, 10, 8, 9, 11, 11, 4, 4, 7, 6, 6, 8, 8, 10, 10, 10, 8, 9, 10, 8, 4, 4, 7, 6, 6, 8, 8, 10, 10, 10, 8, 9, 11, 11, 4, 4, 7, 6, 6, 8, 8, 8, 10, 10, 10, 10, 4, 4, 8, 9, 9, 7, 8, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 9, 7, 7, 9, 8, 10, 10, 4, 4, 8, 9, 9, 7, 8, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 9, 7, 7, 9, 8, 10, 10, 4, 4, 8, 9, 9, 7, 8, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 9, 7, 7, 9, 8, 10, 10, 4, 4, 8, 9, 9, 7, 8, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 9, 7, 7, 9, 8, 10, 10, 4, 4, 8, 9, 9, 7, 8, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 9, 7, 4, 4, 8, 9, 9, 7, 8, 8, 7, 8, 8, 7, 4, 4, 8, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 10, 10, 9, 10, 8, 10, 10, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 9, 10, 10, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 6, 6, 8, 8, 8, 10, 10, 10, 4, 4, 8, 9, 9, 7, 8, 8, 7, 8, 8, 7, 4, 4, 6, 6, 8, 8, 8, 10, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 4, 4, 8, 9, 9, 7, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 7, 9, 8, 10, 10, 4, 4, 8, 9, 9 ]
[ 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 6, 6, 0, 6, 6, 0, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 3, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 1, 0, 5, 1, 2, 4, 4, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 1, 0, 5, 1, 2, 4, 4, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 1, 0, 5, 1, 2, 4, 4, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 1, 0, 5, 1, 2, 4, 4, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 0, 5, 1, 2, 4, 4, 0, 2, 2 ]
[ 1070, 1779, 445, 32, 1237, 32, 7236, 1188, 4125, 81, 9441, 1648, 81, 12940, 203, 1070, 1779, 445, 32, 2282, 1188, 7596, 203, 1070, 1779, 445, 32, 2282, 1188, 4465, 483, 203, 1070, 1779, 445, 1188, 1359, 203, 1070, 1779, 445, 32, 1356, 32, 2282, 1188, 4125, 81, 1648, 81, 2304, 203, 1070, 1779, 445, 32, 1356, 32, 2282, 32, 2304, 1188, 706, 81, 2304, 203, 1070, 1779, 445, 32, 1356, 32, 2282, 32, 2304, 1188, 894, 81, 2304, 203, 465, 1779, 445, 32, 858, 203, 14594, 280, 1359, 32, 14594, 203, 823, 3772, 6795, 1006, 26, 1237, 81, 1648, 81, 2304, 32, 1761, 13117, 1648, 1006, 30, 3486, 1779, 445, 32, 858, 32, 1761, 7233, 711, 284, 1487, 81, 1536, 81, 4573, 280, 3177, 284, 10677, 280, 2107, 4457, 785, 284, 477, 17614, 284, 665, 7116, 81, 17615, 26, 6933, 711, 291, 2599, 26, 1761, 6795, 1006, 30, 9011, 547, 5961, 81, 17615, 346, 291, 415, 646, 45623, 32, 2122, 81, 7230, 32, 85, 15130, 44, 324, 7116, 81, 2076, 280, 2884, 23, 101, 20434, 619, 390, 15130, 438, 646, 3304, 20, 904, 9011, 3667, 426, 8223, 324, 3636, 9011, 32, 5961, 984, 26, 5961, 81, 2076, 27, 291, 4125, 81, 1648, 81, 2304, 32, 1553, 81, 5961, 81, 1793, 81, 9441, 1648, 26, 324, 9011, 32, 887, 81, 9441, 1648, 30, 9011, 32, 1449, 81, 9441, 1648, 30, 324, 45623, 32, 7236, 32, 887, 81, 9441, 1648, 30, 45623, 32, 7236, 32, 1449, 81, 9441, 1648, 27, 284, 477, 17614, 284, 665, 4705, 81, 12623, 26, 6933, 711, 291, 9011, 32, 470, 81, 4573, 81, 5379, 26, 324, 3984, 47, 6933, 32, 1297, 81, 1536, 81, 4573, 30, 324, 20072, 47, 6933, 32, 1297, 81, 1536, 81, 4573, 27, 291, 2599, 26, 1761, 6795, 1006, 30, 9011, 547, 5522, 81, 12623, 346, 284, 477, 17614, 284, 665, 4705, 81, 13606, 26, 6933, 711, 291, 2599, 26, 1761, 6795, 1006, 30, 9011, 547, 5522, 81, 13606, 346, 291, 9011, 32, 13547, 81, 1580, 280, 9011, 32, 500, 81, 4457, 32, 13547, 81, 1580, 291, 415, 45623, 32, 2122, 81, 7230, 32, 1843, 723, 44, 324, 9011, 32, 2242, 81, 1580, 280, 9011, 32, 500, 81, 4457, 32, 893, 81, 1580, 81, 104, 36, 291, 9011, 32, 48374, 81, 1580, 280, 9011, 32, 500, 81, 4457, 32, 48374, 81, 1580, 81, 5323, 291, 9011, 32, 27611, 81, 1580, 280, 9011, 32, 500, 81, 4457, 32, 27611, 81, 1580, 81, 5323, 291, 9011, 32, 6286, 81, 1580, 280, 9011, 32, 500, 81, 4457, 32, 7236, 81, 6286, 81, 1580, 81, 5323, 291, 9011, 32, 9561, 81, 1580, 280, 9011, 32, 500, 81, 4457, 32, 7236, 81, 9561, 81, 1580, 81, 5323, 291, 9011, 32, 6332, 81, 1580, 280, 9011, 32, 500, 81, 4457, 32, 6332, 81, 1580, 81, 5323, 291, 9011, 32, 1363, 81, 33276, 81, 1580, 280, 308, 324, 9011, 32, 500, 81, 4457, 32, 1363, 81, 33276, 81, 1580, 81, 5323, 27, 291, 9011, 32, 33276, 81, 1580, 280, 9011, 32, 500, 81, 4457, 32, 33276, 81, 1580, 81, 5323, 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, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 0, 3, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 2, 2, 5, 4, 5, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 4, 4, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 5, 5, 6, 7, 9, 10, 10, 10, 8, 9, 9, 6, 6, 6, 10, 10, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 13, 13, 7, 7, 8, 10, 11, 11, 10, 11, 11, 11, 10, 5, 5, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 8, 8, 8, 10, 11, 9, 10, 10, 10, 10, 8, 8, 10, 11, 9, 10, 10, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 11, 10, 11, 11, 11, 11, 11, 8, 8, 8, 9, 11, 10, 11, 11, 11, 11, 11, 8, 5, 5, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 5, 5, 6, 8, 9, 9, 9, 7, 8, 8, 6, 6, 6, 10, 11, 11, 11, 9, 9, 11, 12, 12, 12, 10, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 8, 8, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 10, 10, 8, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 5 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 9, 9, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 3, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 3, 3, 1, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 0, 2, 5, 2, 2, 2, 2, 1, 1, 0, 2, 7, 2, 2, 2, 2, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4 ]
[ 465, 33541, 203, 465, 15798, 203, 1070, 7744, 1188, 2910, 203, 50, 14402, 32, 1553, 81, 3034, 203, 823, 30240, 300, 3246, 69, 1001, 15254, 265, 2798, 7233, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 33541, 32, 470, 81, 38974, 463, 63, 81, 10431, 683, 291, 33541, 32, 7326, 10038, 346, 291, 630, 32, 86, 416, 1184, 295, 81, 7843, 280, 225, 35, 32, 34, 291, 630, 32, 21213, 81, 6932, 280, 225, 39, 32, 34, 291, 630, 32, 47833, 81, 1160, 280, 313, 2086, 300, 3246, 81, 419, 268, 15254, 265, 81, 47833, 20, 291, 630, 32, 9381, 81, 2285, 280, 301, 324, 313, 1160, 563, 630, 32, 47833, 81, 1160, 30, 324, 313, 7843, 563, 630, 32, 86, 416, 1184, 295, 81, 7843, 30, 324, 313, 3292, 563, 225, 39, 32, 34, 30, 324, 313, 2281, 563, 225, 34, 32, 34, 34, 35, 30, 324, 313, 4893, 563, 225, 34, 32, 35, 30, 324, 313, 20635, 563, 225, 36, 34, 4317, 324, 313, 61, 5431, 563, 225, 34, 32, 34, 30, 324, 313, 73, 1449, 563, 225, 35, 39, 4317, 291, 320, 291, 630, 32, 1001, 81, 941, 22440, 280, 33541, 32, 1922, 440, 568, 5346, 81, 941, 22440, 657, 291, 630, 32, 1526, 81, 941, 22440, 280, 33541, 32, 1922, 440, 568, 5346, 81, 941, 22440, 657, 291, 33541, 32, 6754, 26, 784, 32, 1001, 81, 941, 22440, 30, 630, 32, 1526, 81, 941, 22440, 30, 3486, 10437, 81, 2285, 47, 784, 32, 9381, 81, 2285, 27, 284, 665, 4450, 32724, 15779, 26, 784, 30, 1168, 22440, 30, 6496, 711, 291, 7808, 280, 630, 32, 86, 416, 1184, 295, 81, 7843, 291, 4479, 280, 33541, 32, 1922, 440, 39278, 81, 7101, 392, 225, 35, 30, 3775, 3447, 39278, 81, 5571, 563, 428, 102, 31, 7843, 436, 273, 328, 6496, 33993, 291, 33541, 32, 6754, 26, 2518, 30, 1168, 22440, 30, 10437, 81, 2285, 7814, 7843, 563, 7808, 1748, 284, 665, 2287, 26, 784, 30, 1510, 711, 291, 8616, 280, 33541, 32, 936, 16796, 26, 784, 32, 1001, 81, 941, 22440, 30, 1891, 19330, 81, 1160, 47, 784, 32, 47833, 81, 1160, 27, 291, 442, 33541, 32, 936, 1533, 26, 5136, 30, 428, 7900, 33192, 34, 1674, 34, 79, 284, 665, 32189, 26, 784, 30, 1133, 30, 1224, 853, 711, 291, 1224, 853, 10439, 2910, 3736, 1133, 517, 630, 32, 9381, 81, 2285, 1365, 20635, 6890, 291, 442, 1224, 853, 284, 665, 44288, 26, 784, 30, 341, 30, 1224, 5431, 711, 291, 537, 81, 105, 280, 341, 474, 308, 784, 32, 9381, 81, 2285, 710, 2281, 785, 319, 1224, 5431, 27, 291, 442, 537, 81, 105, 415, 308, 890, 81, 105, 517, 630, 32, 1517, 463, 73, 1449, 683, 333, 225, 35, 32, 34, 27, 813, 766, 324, 630, 32, 9381, 81, 2285, 710, 73, 1449, 785, 284, 665, 409, 1380, 26, 784, 30, 341, 711, 291, 537, 81, 105, 280, 341, 429, 308, 784, 32, 9381, 81, 2285, 710, 4893, 785, 319, 630, 32, 9381, 81, 2285, 710, 2281, 3490, 291, 442, 537, 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, 2, 4, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 5, 3, 2, 2, 4, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 10, 10, 10, 10, 5, 5, 8, 9, 9, 8, 5, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 8, 5, 5, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 11, 11, 9, 10, 11, 11, 11, 8, 8, 8, 11, 11, 9, 10, 11, 11, 11, 11, 11, 11, 8, 8, 8, 11, 11, 9, 10, 10, 10, 8, 8, 8, 11, 11, 9, 10, 10, 10, 10, 10, 8, 8, 8, 11, 11, 9, 10, 10, 10, 8, 8, 8, 11, 11, 9, 10, 10, 10, 8, 8, 11, 11, 11, 9, 10, 10, 10, 8, 8, 8, 11, 11, 11, 9, 10, 10, 10, 8, 8, 5, 5, 8, 9, 9, 9, 9, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 9, 9, 9, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 8, 10, 9, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 11, 10, 11, 11, 11, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 8, 9, 9, 9, 9, 9, 9, 5, 5, 7, 7, 9, 10, 9, 11, 11, 11, 11, 9, 10, 9, 9, 9, 13, 13, 13, 13, 11, 14, 13, 14, 12, 13, 13, 13, 12, 5, 5, 8, 9, 8, 9, 8, 8, 9, 8, 8, 10, 10, 9, 13, 13, 11, 10, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 7, 7, 9, 10, 10, 9, 11, 10, 11, 11, 11, 11, 9, 9, 9, 11, 11, 10, 12, 11, 12, 12, 12, 9, 5, 5, 6, 10, 11, 11, 10, 11, 10, 10, 12, 11, 9, 8, 8, 7, 3, 3, 4, 5, 6, 5, 5, 5, 5, 6, 5, 4, 4, 8, 7, 7, 9, 11, 10, 10, 12, 13, 13, 13, 11, 13, 13, 5, 5, 6, 7, 3, 3, 4, 5, 6, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 8, 8, 13, 12, 13, 13, 13, 11, 13, 13, 10, 10, 11, 9, 5, 5, 6, 8, 8, 7, 7, 11, 11, 11, 10, 10, 12, 13, 12, 14, 14, 14, 9, 9, 10, 10, 10, 8, 7, 7, 8, 7, 9, 10, 10, 10, 8, 10, 10, 10, 3, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 8, 8, 7, 7, 8, 8, 13, 12, 13, 13, 13, 11, 13, 13, 10, 10, 12, 13, 13, 13, 11, 13, 13, 5, 5, 6, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 9, 2, 2, 2, 2, 2, 2, 1, 2, 11, 2, 2, 2, 2, 2, 1, 1, 2, 13, 2, 2, 2, 2, 2, 2, 1, 1, 2, 15, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 1, 0, 0, 5, 1, 2, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 3, 2, 0, 2, 1, 4, 4, 3, 2, 1, 2, 2, 2, 2, 5, 2, 3, 3, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 4, 4, 1, 1, 4, 4, 4, 2, 1, 2, 2, 2, 2, 5, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 4, 4, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 4, 1, 0, 2, 2, 2, 5, 1, 1, 2, 4, 4, 5, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 4, 4, 1, 0 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 2361, 203, 465, 316, 203, 1070, 28520, 32, 4275, 1188, 35603, 2798, 7961, 203, 1070, 28520, 32, 1647, 81, 2304, 1114, 878, 1188, 372, 81, 878, 30, 372, 81, 3651, 203, 1070, 28520, 32, 5558, 32, 16914, 1188, 21766, 1761, 203, 823, 21766, 2459, 26, 14537, 1761, 711, 284, 10719, 81, 9362, 81, 268, 280, 428, 291, 316, 32, 6993, 26, 839, 7646, 1162, 41727, 4987, 2177, 40935, 27, 428, 14826, 16211, 2113, 291, 316, 32, 6993, 26, 839, 7646, 1162, 41727, 4987, 2177, 40935, 27, 766, 1162, 41727, 4987, 2177, 40935, 27, 35130, 657, 284, 1481, 284, 10719, 81, 8228, 81, 268, 280, 428, 291, 316, 32, 6993, 26, 839, 15860, 1018, 924, 2113, 291, 316, 32, 6993, 26, 839, 15860, 1018, 8418, 9313, 2113, 291, 316, 32, 6993, 26, 839, 20, 5790, 1509, 392, 316, 32, 59, 471, 291, 316, 32, 6993, 26, 839, 20, 18470, 266, 5898, 110, 2733, 16879, 27, 2016, 392, 316, 32, 59, 471, 291, 316, 32, 6993, 26, 839, 20, 3841, 28877, 963, 392, 316, 32, 59, 471, 291, 316, 32, 6993, 26, 839, 20, 41727, 100, 78, 96, 6155, 646, 2431, 2113, 291, 316, 32, 6993, 26, 839, 14891, 12456, 785, 25, 474, 28580, 1048, 1340, 44, 1018, 78, 86, 29, 2113, 291, 316, 32, 6993, 26, 839, 20, 1045, 5535, 657, 284, 1481, 284, 665, 544, 81, 1676, 81, 7883, 26, 784, 711, 291, 442, 284, 665, 544, 81, 864, 3749, 26, 784, 30, 44566, 47, 2521, 711, 291, 13012, 280, 630, 1114, 371, 81, 13232, 346, 291, 415, 13012, 461, 13012, 32, 20643, 26, 84, 44916, 7831, 324, 442, 291, 4774, 280, 301, 103, 25, 2501, 950, 1044, 25, 4898, 6040, 291, 415, 44566, 44, 324, 4774, 77, 103, 25, 13232, 785, 280, 372, 81, 878, 26, 100, 20, 13644, 100, 78, 96, 34414, 77, 24846, 79, 1585, 44, 1018, 30145, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 683, 324, 4774, 77, 103, 25, 10004, 785, 280, 44566, 291, 1596, 44, 324, 630, 1114, 2493, 81, 4538, 81, 2501, 26, 452, 81, 3651, 26, 1260, 32, 16958, 26, 3515, 471, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 2847, 324, 13012, 280, 630, 1114, 371, 81, 13232, 346, 324, 415, 13012, 438, 1665, 556, 646, 13012, 32, 20643, 26, 84, 44916, 7831, 400, 3636, 35603, 2798, 7961, 463, 7815, 372, 40768, 332, 40293, 372, 5352, 2926, 4204, 821, 13012, 18025, 101, 18262, 904, 13012, 27, 324, 4774, 280, 301, 103, 25, 2501, 950, 1044, 1330, 2806, 851, 3104, 225, 34, 6040, 324, 630, 1114, 2493, 81, 4538, 81, 2501, 26, 452, 81, 3651, 26, 1260, 32, 16958, 26, 3515, 471, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 2847, 324, 13012, 280, 630, 1114, 371, 81, 13232, 346, 324, 415, 13012, 438, 1665, 556, 646, 13012, 32, 20643, 26, 84, 44916, 7831, 400, 3636, 35603, 2798, 7961, 463, 7815, 372, 4705, 10719, 328, 5352, 2926, 683 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 8, 9, 8, 10, 10, 10, 5, 5, 4, 4, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 4, 4, 5, 5, 5, 5, 9, 11, 11, 11, 11, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 13, 13, 13, 13, 13, 13, 13, 6, 6, 9, 11, 11, 11, 11, 8, 8, 4, 4, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 14, 13, 14, 13, 14, 13, 11, 12, 14, 14, 14, 14, 14, 14, 14, 6, 6, 8, 8, 10, 11, 11, 11, 10, 6, 6, 7, 9, 9, 8, 8, 9, 11, 12, 11, 13, 13, 13, 7, 7, 9, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 11, 6, 6, 8, 8, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 6, 6, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 14, 13, 14, 13, 14, 13, 11, 12, 14, 14, 14, 14, 14, 14, 14, 6, 6, 8, 8, 10, 11, 11, 11, 10, 6, 6, 7, 9, 9, 8, 8, 9, 11, 12, 11, 13, 13, 13, 7, 7, 9, 11, 11, 11, 13, 13, 13, 13, 13, 13, 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, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 2, 2, 1, 4, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 1, 2, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 3, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 4, 4, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 4, 4, 3, 3, 3, 3, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 2, 0, 0, 4, 4, 4, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 6, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 6, 6, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 7138, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 2200, 1188, 3240, 81, 2200, 203, 1070, 8527, 32, 12023, 32, 8680, 1188, 20719, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 1439, 1188, 3678, 1761, 203, 1070, 8527, 32, 2387, 1188, 7049, 30, 11522, 203, 1070, 8527, 32, 12023, 1188, 8446, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 622, 81, 1700, 81, 2851, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 823, 42404, 2573, 25087, 26, 984, 711, 284, 3097, 203, 823, 3182, 2573, 25087, 26, 984, 711, 284, 3097, 203, 823, 14533, 2573, 11290, 26, 1473, 711, 284, 2267, 81, 2679, 81, 1495, 280, 1665, 284, 2267, 81, 1803, 7309, 81, 1495, 280, 1665, 284, 4230, 81, 5483, 280, 1665, 284, 4096, 81, 8856, 280, 3177, 284, 5352, 81, 1495, 280, 1665, 284, 2047, 7309, 81, 5483, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 1542, 711, 291, 630, 1114, 1160, 280, 1542, 284, 665, 617, 371, 81, 6558, 26, 784, 30, 2464, 30, 1615, 711, 291, 415, 2464, 3667, 823, 505, 438, 646, 1615, 3667, 823, 26927, 324, 2464, 280, 7138, 32, 770, 26, 2174, 32, 4548, 30, 2464, 32, 5904, 30, 2464, 32, 3368, 27, 324, 1615, 280, 7138, 32, 770, 26, 3356, 32, 4548, 30, 1615, 32, 5904, 30, 1615, 32, 3368, 27, 291, 415, 2464, 333, 1615, 44, 324, 3636, 10091, 440, 11394, 9921, 2047, 7726, 7019, 3301, 2340, 1600, 438, 739, 372, 312, 786, 328, 322, 7062, 657, 291, 442, 2464, 429, 1615, 284, 665, 2608, 26, 784, 30, 5093, 30, 1795, 81, 1473, 30, 1326, 711, 291, 415, 630, 32, 4898, 81, 1495, 44, 324, 415, 646, 18623, 26, 1286, 81, 1473, 30, 630, 32, 4898, 81, 1495, 711, 400, 442, 3177, 291, 415, 630, 32, 2837, 81, 2679, 81, 1495, 461, 630, 32, 2679, 81, 5483, 438, 646, 1665, 44, 324, 4230, 81, 5483, 81, 770, 280, 18623, 26, 1286, 81, 1473, 30, 630, 32, 2837, 81, 2679, 81, 1495, 27, 324, 415, 4230, 81, 5483, 81, 770, 438, 646, 1665, 461, 630, 1114, 371, 81, 6558, 26, 18218, 32, 2174, 1026, 4230, 81, 5483, 81, 770, 547, 6124, 2377, 630, 32, 2679, 81, 5483, 44, 400, 442, 3177, 291, 442, 2933, 284, 665, 2047, 7309, 26, 784, 30, 5093, 30, 1795, 81, 1473, 30, 1326, 711, 291, 415, 630, 32, 2837, 81, 1803, 7309, 81, 1495, 461, 630, 32, 1803, 7309, 81, 5483, 438, 646, 1665, 44, 324, 2047, 7309, 81, 5483, 81, 770, 280, 18623, 26, 1286, 81, 1473, 30, 630, 32, 2837, 81, 1803, 7309, 81, 1495, 27, 324, 415, 2047, 7309, 81, 5483, 81, 770, 438, 646, 1665, 461, 630, 1114, 371, 81, 6558, 26, 18218, 32, 2174, 1026, 2047, 7309, 81, 5483, 81, 770, 547, 6124, 2377, 630, 32, 1803, 7309, 81, 5483, 44, 400, 442, 2933, 291, 442, 3177, 284, 665, 4096, 26, 784, 30, 5093, 30, 1795, 81, 1473, 30, 1326, 711, 291, 415, 646, 630, 32, 1935, 81, 8856, 44, 324, 442, 291, 20883, 81, 668 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 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, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 8, 6, 6, 6, 7, 8, 8, 5, 5, 8, 8, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 10, 11, 12, 10, 6, 6, 8, 8, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 10, 11, 12, 10, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 8, 10, 11, 11, 11, 10, 10, 11, 12, 12, 12, 10, 7, 7, 9, 4, 4, 5, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 7, 7, 7, 5, 5, 5, 9, 9, 9, 9, 8, 8, 10, 11, 11, 11, 10, 10, 11, 12, 12, 12, 12, 12, 10, 6, 6, 7, 10, 10, 10, 10, 9, 9, 9, 8, 8, 12, 13, 13, 13, 12, 15, 14, 15, 14, 12, 13, 13, 13, 13, 12, 11, 9, 9, 10, 11, 11, 11, 7, 7, 7, 9, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 7, 7, 7, 5, 5, 5, 9, 9, 9, 9, 9, 8, 8, 10, 11, 11, 11, 10, 10, 11, 12, 12, 12, 12, 12, 12, 10, 6, 6, 7, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 12, 13, 13, 13, 12, 15, 14, 15, 14, 12, 13, 13, 13, 13, 13, 12, 11, 9, 9, 10, 11, 11, 11, 11, 7, 7, 7, 9, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 6, 7, 8, 8, 8, 5, 5, 5, 4, 4, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 2, 0, 0, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 4, 4, 8, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 8, 8, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 4, 4, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 3, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 4, 4, 2, 4, 4, 9, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 9, 9, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 3, 3, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 4, 4, 1, 4, 4, 10, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 10, 10, 0, 1, 1, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0 ]
[ 1070, 570, 1227, 2019, 1188, 570, 1227, 2019, 203, 465, 6436, 619, 2065, 203, 465, 5741, 203, 823, 488, 39, 40, 36, 26, 57, 1227, 2019, 711, 284, 665, 5742, 26, 784, 30, 485, 711, 291, 415, 485, 32, 2040, 81, 11371, 440, 66, 10280, 324, 938, 1651, 81, 9480, 280, 485, 32, 371, 81, 410, 81, 1170, 81, 11371, 440, 66, 392, 225, 35, 27, 324, 415, 447, 610, 225, 34, 44, 400, 630, 32, 21201, 32, 23445, 483, 1365, 58, 11603, 6494, 28943, 29921, 81, 731, 280, 3177, 324, 4348, 447, 610, 225, 35, 44, 400, 630, 32, 21201, 32, 23445, 483, 1365, 55, 6494, 28943, 29921, 81, 731, 280, 3177, 324, 4348, 447, 610, 225, 36, 44, 400, 630, 32, 21201, 32, 23445, 483, 1365, 58, 6494, 28943, 29921, 81, 731, 280, 3177, 291, 813, 44, 4288, 436, 4950, 938, 1651, 328, 630, 32, 21201, 32, 23445, 483, 32, 40957, 2262, 400, 938, 1651, 32, 28943, 29921, 81, 731, 280, 3177, 284, 665, 622, 81, 2310, 26, 784, 711, 291, 442, 313, 7326, 13587, 18830, 32, 313, 284, 665, 622, 81, 3222, 81, 2310, 26, 784, 711, 291, 442, 2884, 7326, 312, 13587, 18830, 544, 938, 1651, 33, 12601, 313, 400, 313, 2797, 322, 1148, 18155, 1401, 35464, 2126, 461, 19142, 312, 938, 1651, 313, 400, 313, 26208, 561, 1401, 14098, 312, 18830, 30, 458, 1098, 5657, 322, 313, 400, 313, 16012, 3700, 461, 2608, 844, 372, 793, 322, 938, 1651, 4056, 32, 313, 400, 313, 2246, 3040, 631, 372, 526, 1654, 623, 7450, 1602, 32, 1670, 322, 18830, 6442, 3045, 313, 400, 313, 283, 1098, 5440, 963, 4056, 2685, 844, 1159, 29160, 458, 2016, 32, 313, 400, 313, 66, 34, 438, 322, 23065, 45, 447, 35, 322, 1932, 29937, 29921, 30, 461, 1259, 544, 32, 7788, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 9, 9, 5, 5, 9, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 11, 11, 10, 12, 12, 10, 11, 10, 6, 6, 7, 8, 8, 9, 7, 7, 7, 14, 15, 13, 14, 14, 12, 14, 14, 14, 12, 12, 12, 12, 10, 10, 7, 7, 8, 9, 9, 10, 8, 8, 8, 15, 16, 14, 15, 15, 13, 15, 15, 13, 13, 13, 13, 11, 11, 7, 7, 8, 9, 9, 10, 8, 8, 8, 15, 16, 14, 15, 15, 13, 15, 15, 13, 13, 13, 13, 11, 11, 5, 5, 6, 6, 6, 8, 9, 10, 8, 8, 12, 13, 11, 12, 12, 10, 11, 10, 8, 8, 13, 12, 13, 13, 13, 13, 11, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 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, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 2, 2, 0, 3, 3, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 4, 1, 1, 2, 4, 4, 4, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 5, 1, 1, 2, 5, 5, 5, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 4, 4, 4, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1070, 34856, 32, 1237, 32, 26878, 32, 7924, 32, 12023, 1188, 5605, 81, 3543, 619, 766, 284, 26533, 81, 1786, 81, 104, 36, 203, 1070, 34856, 32, 1237, 32, 26878, 32, 7924, 32, 5558, 32, 104, 37, 1188, 26533, 81, 1786, 619, 766, 284, 26533, 81, 1786, 81, 104, 36, 35, 203, 1070, 34856, 32, 4882, 32, 2243, 32, 1237, 32, 26878, 32, 7924, 1188, 5605, 81, 2585, 81, 1141, 81, 2282, 203, 1070, 34856, 32, 4882, 32, 2243, 32, 1237, 32, 26878, 1188, 296, 4062, 203, 823, 358, 15877, 2059, 4470, 72, 36, 35, 26, 2300, 81, 2585, 81, 1141, 81, 2282, 32, 5240, 4470, 711, 284, 26533, 81, 1786, 280, 26533, 81, 1786, 81, 104, 36, 35, 284, 5932, 81, 426, 280, 330, 24045, 2059, 1917, 25, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 24045, 2059, 4470, 72, 36, 35, 30, 630, 547, 23741, 346, 291, 630, 32, 4627, 280, 18623, 26, 784, 32, 34303, 81, 1786, 30, 630, 32, 4627, 81, 426, 45895, 291, 630, 32, 7924, 81, 1237, 280, 630, 32, 4627, 32, 7924, 81, 1237, 291, 665, 617, 9539, 81, 4627, 2740, 1132, 30, 1115, 5321, 711, 324, 442, 630, 32, 4627, 291, 630, 32, 34621, 32, 885, 26, 784, 32, 34303, 81, 1786, 30, 630, 32, 4627, 81, 426, 30, 5556, 617, 9539, 81, 4627, 27, 291, 630, 32, 725, 280, 630, 1114, 371, 81, 725, 346, 291, 630, 32, 775, 106, 32, 9816, 1512, 1554, 3660, 26, 784, 32, 7924, 81, 1237, 30, 330, 371, 683, 284, 665, 617, 371, 81, 725, 26, 784, 711, 291, 442, 296, 4062, 32, 46674, 81, 725, 81, 104, 36, 35, 26, 1664, 81, 2585, 37346, 13547, 370, 13687, 330, 500, 31, 34303, 31, 1786, 1425, 6619, 11152, 81, 2393, 81, 1819, 47, 784, 32, 1819, 27, 284, 665, 894, 81, 34303, 81, 14957, 26, 784, 711, 291, 630, 1114, 858, 81, 3543, 4901, 34303, 370, 330, 14957, 3490, 284, 665, 894, 81, 34303, 81, 14957, 81, 1793, 81, 3780, 81, 12527, 318, 81, 2386, 26, 784, 711, 291, 630, 1114, 858, 81, 3543, 81, 1793, 81, 3780, 81, 12527, 318, 81, 2386, 4901, 34303, 370, 330, 14957, 3490, 284, 665, 894, 81, 34303, 81, 14957, 81, 13225, 81, 22950, 81, 267, 81, 5790, 81, 1293, 26, 784, 711, 291, 630, 1114, 858, 81, 3543, 81, 13225, 81, 22950, 81, 267, 81, 5790, 81, 1293, 4901, 34303, 370, 9930, 330, 14957, 3490, 284, 665, 894, 81, 3543, 81, 1793, 81, 16073, 81, 2386, 26, 784, 711, 291, 630, 1114, 858, 81, 3543, 81, 1793, 81, 16073, 81, 2386, 4901, 34303, 370, 330, 14957, 3490, 203, 823, 358, 15877, 2059, 4470, 72, 36, 26, 24045, 2059, 4470, 72, 36, 35, 711, 284, 26533, 81, 1786, 280, 26533, 81, 1786, 81, 104, 36, 284, 5932, 81, 426, 280, 330, 4191, 7105, 1917, 25, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 24045, 2059, 4470, 72, 36, 30, 630, 547, 23741, 346, 291, 630, 32, 4545, 26, 324, 2322, 1237, 81, 7924, 81, 6728, 6020, 324, 330, 31205, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 3, 2, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 4, 4, 2, 2, 3, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 9, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 7, 8, 8, 8, 4, 4, 5, 6, 6, 6, 6, 8, 6, 6, 8, 6, 5, 5, 7, 8, 9, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 8, 9, 9, 7, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 9, 9, 9, 8, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 9, 8, 10, 9, 10, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 10, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 10, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 10, 10, 8, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 10, 10, 8, 10, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 7, 7, 7, 9, 9, 9, 9, 9, 8, 9, 9, 11, 11 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 1, 8, 0, 0, 0, 0, 3, 3, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 10, 1, 1, 0, 0, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 1, 8, 3, 3, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 1, 2, 3, 3, 0, 1, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 5, 5, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 3, 0, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1 ]
[ 465, 802, 203, 465, 2322, 203, 465, 1133, 203, 465, 8735, 39, 203, 465, 2771, 2872, 203, 325, 646, 19326, 26, 1003, 30, 330, 18218, 7831, 284, 1133, 32, 18218, 280, 225, 34, 203, 823, 2032, 44, 284, 665, 1156, 1664, 3207, 784, 30, 803, 280, 1665, 711, 291, 415, 803, 461, 13637, 328, 803, 44, 324, 3636, 10091, 30, 313, 1347, 29659, 6660, 328, 803, 20, 291, 630, 32, 761, 280, 803, 291, 630, 32, 94, 18455, 280, 630, 32, 87, 18455, 280, 630, 32, 100, 18455, 280, 225, 34, 291, 630, 32, 5866, 280, 1665, 284, 665, 1156, 4923, 3207, 784, 30, 1604, 711, 291, 442, 13593, 26, 784, 32, 761, 30, 1604, 32, 761, 27, 284, 665, 622, 1696, 26, 784, 711, 291, 1596, 44, 324, 630, 32, 12750, 1003, 30, 630, 32, 94, 27749, 280, 2322, 32, 4597, 26, 784, 32, 761, 5594, 31, 36, 10056, 291, 2940, 2322, 32, 731, 44, 324, 630, 32, 12750, 1003, 280, 630, 32, 94, 27749, 280, 630, 32, 94, 1036, 280, 1665, 291, 813, 44, 324, 630, 32, 94, 1036, 280, 8735, 39, 32, 890, 26, 1676, 26, 784, 32, 761, 547, 850, 4251, 13995, 346, 291, 630, 32, 94, 18455, 280, 225, 35, 284, 665, 622, 3038, 26, 784, 30, 1628, 711, 291, 8153, 280, 802, 32, 2998, 4151, 26, 928, 30, 33774, 291, 415, 630, 32, 761, 461, 8153, 77, 35, 79, 863, 630, 32, 761, 44, 324, 3636, 10091, 30, 313, 761, 636, 22384, 20, 291, 630, 32, 761, 280, 8153, 77, 35, 79, 291, 630, 32, 747, 104, 280, 8153, 77, 36, 79, 291, 630, 32, 87, 11965, 280, 225, 34, 291, 630, 32, 272, 393, 280, 225, 34, 291, 630, 32, 412, 512, 280, 630, 32, 405, 1003, 280, 1665, 291, 415, 630, 32, 747, 104, 2867, 35, 79, 610, 6470, 950, 324, 630, 32, 87, 11965, 280, 225, 35, 324, 630, 32, 747, 104, 280, 630, 32, 747, 104, 77, 35, 10056, 291, 415, 630, 32, 747, 104, 610, 330, 34, 950, 324, 630, 32, 747, 104, 280, 1665, 324, 630, 32, 272, 393, 280, 225, 35, 291, 813, 44, 324, 18719, 280, 8153, 77, 37, 79, 324, 630, 32, 412, 512, 280, 707, 27749, 26, 4419, 2867, 36, 38, 1130, 324, 630, 32, 405, 1003, 280, 707, 27749, 26, 4419, 77, 36, 39, 19572, 291, 630, 32, 7615, 280, 8153, 77, 38, 79, 291, 415, 630, 32, 100, 18455, 44, 324, 630, 32, 371, 307, 378, 346, 291, 630, 32, 87, 18455, 280, 225, 35, 284, 665, 622, 7001, 26, 784, 30, 7664, 280, 1665, 711, 291, 415, 7664, 44, 324, 630, 32, 5866, 280, 7664, 291, 1596, 44, 324, 630, 32, 100, 9882, 280, 630, 32, 5866, 32, 1816, 26, 784, 32, 761, 27, 291, 2940, 308, 500, 32, 731, 30, 45338, 711, 324, 630, 32, 100, 9882, 280, 1665, 291, 415, 630, 32, 100, 9882, 44, 324, 630, 32, 100, 1036, 280, 630, 32, 5866, 32, 1036, 26, 784, 32, 761, 27, 291, 813, 44, 324, 630, 32, 100, 1036, 280, 1665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 2, 4, 5, 4, 4, 6, 6, 1, 1, 5, 6, 4, 4, 5, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 7, 7, 5, 5, 5, 7, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 7, 7, 9, 10, 10, 8, 8, 9, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 10, 11, 11, 9, 9, 10, 11, 11, 8, 8, 11, 12, 11, 13, 12, 13, 11, 11, 12, 10, 5, 5, 6, 7, 8, 6, 6, 6, 10, 11, 11, 9, 9, 11, 12, 12, 10, 10, 12, 13, 13, 11, 11, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 14, 13, 14, 13, 17, 17, 19, 18, 19, 17, 16, 15, 12, 11, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 8, 9, 8, 8, 4, 4, 5, 7, 8, 6, 6, 8, 9, 8, 7, 7, 8, 9, 5, 5, 5, 7, 8, 8, 10, 10, 10, 10, 4, 4, 7, 8, 6, 6, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 7, 7, 4, 4, 5, 8, 9, 9, 7, 9, 7, 6, 6, 8, 5, 5, 9, 10, 10, 8, 8, 9, 6, 6, 9, 10, 10, 8, 8, 10, 11, 11, 9, 11, 10, 4, 4, 5, 7, 8, 8, 6, 6, 8, 8, 5, 5, 9, 10, 10, 8, 8, 6, 6, 9, 10, 10, 8, 8, 9, 5, 5, 6, 6, 6, 9, 9, 10, 11, 10, 7, 7, 10, 11, 11, 9, 9, 11, 11, 13, 12, 14, 14, 12, 7, 7, 10, 11, 11, 9, 9, 11, 11, 13, 12, 14, 14, 13, 4, 4, 7, 8, 6, 6, 7, 8, 7, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 10, 10, 10, 9, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 9, 10, 8, 8, 4, 4, 5, 5, 5, 9, 10, 10, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 10, 5, 5, 6, 9, 8, 9, 7, 7, 7, 6, 6, 10, 11, 11, 9, 9, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 10, 10, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 10, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 2, 0, 0, 2, 0, 6, 6, 6, 6, 6, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 3, 1, 2, 3, 3, 3, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 4, 4, 0, 2, 2, 0, 0, 2, 3, 3, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 7, 0, 2, 2, 0, 1, 0, 1, 1, 2, 7, 7, 0, 2, 2, 0, 0, 2, 3, 3, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 4, 4, 8, 0, 2, 2, 1, 1, 1, 2, 8, 8, 0, 2, 2, 0, 0, 3, 3, 0, 2, 2, 0, 0, 2, 8, 8, 4, 4, 4, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 10, 1, 2, 2, 10, 10, 10, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 2, 3, 3, 4, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 0, 1, 2, 1, 1, 1, 3, 3, 0, 2, 2, 0, 0, 4, 4, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 4, 4, 4, 0, 2, 2, 0, 0 ]
[ 465, 5237, 203, 465, 13625, 203, 465, 6436, 619, 2065, 203, 1270, 44, 284, 1188, 44524, 203, 7343, 29986, 44, 284, 415, 5237, 32, 1648, 81, 1338, 77, 34, 79, 2377, 225, 37, 44, 291, 1188, 3363, 619, 44524, 284, 813, 44, 291, 3636, 203, 823, 46824, 17984, 723, 44, 284, 25567, 7709, 371, 367, 280, 429, 35, 284, 11035, 16016, 280, 429, 36, 284, 42201, 280, 429, 37, 284, 33508, 16016, 280, 429, 38, 284, 477, 17614, 284, 665, 677, 418, 36618, 62, 2733, 581, 2531, 26, 6933, 30, 1118, 711, 291, 1118, 81, 681, 30, 1118, 81, 853, 280, 9011, 1114, 936, 2922, 620, 2185, 3354, 26, 290, 27, 291, 415, 1118, 81, 853, 610, 34863, 324, 736, 280, 1524, 34, 677, 418, 36618, 11213, 203, 34, 3139, 6983, 279, 15987, 203, 23, 101, 78, 96, 2993, 904, 308, 290, 81, 681, 27, 291, 4348, 1118, 81, 681, 610, 4825, 35, 563, 324, 736, 280, 1524, 34, 677, 418, 36618, 11213, 203, 34, 3139, 6983, 279, 15987, 203, 23, 101, 203, 23007, 81, 25302, 203, 23, 101, 78, 96, 2993, 904, 308, 290, 81, 681, 30, 1118, 81, 853, 27, 291, 813, 44, 324, 736, 280, 1524, 34, 677, 418, 36618, 11213, 203, 34, 3139, 6983, 279, 15987, 203, 23, 101, 203, 23, 101, 78, 96, 2993, 904, 308, 290, 81, 681, 30, 1118, 81, 853, 27, 291, 442, 428, 575, 30, 1118, 79, 284, 477, 17614, 284, 665, 677, 14295, 36618, 62, 2733, 581, 2531, 26, 6933, 30, 10423, 30, 1118, 81, 1977, 30, 1118, 81, 2121, 711, 291, 1118, 81, 1977, 81, 681, 30, 1118, 81, 1977, 81, 2810, 280, 9011, 1114, 936, 2922, 620, 2185, 3354, 26, 290, 81, 1977, 27, 291, 1118, 81, 2121, 81, 681, 30, 1118, 81, 2121, 81, 2810, 280, 9011, 1114, 936, 2922, 620, 2185, 3354, 26, 290, 81, 2121, 30, 313, 613, 3314, 81, 25302, 81, 36, 657, 291, 415, 1118, 81, 1977, 81, 2810, 610, 3330, 461, 1118, 81, 2121, 81, 2810, 610, 34863, 324, 309, 280, 225, 1524, 35, 308, 3910, 29134, 36618, 11213, 27, 203, 23, 101, 904, 101, 904, 88, 308, 290, 35, 1118, 36, 10423, 5421, 96, 2993, 904, 308, 290, 81, 1977, 81, 681, 30, 1118, 81, 2121, 81, 681, 30, 10423, 27, 291, 813, 44, 324, 309, 280, 225, 1524, 35, 308, 3910, 29134, 36618, 11213, 27, 203, 23, 101, 904, 101, 904, 88, 308, 290, 35, 1118, 36, 10423, 27, 203, 23, 101, 203, 23, 101, 78, 96, 2993, 904, 308, 290, 81, 1977, 81, 681, 30, 1118, 81, 2121, 81, 681, 30, 10423, 30, 1118, 81, 1977, 81, 2810, 30, 1118, 81, 2121, 81, 2810, 27, 291, 442, 428, 101, 30, 1118, 81, 1977, 30, 1118, 81, 2121, 79, 284, 477, 17614, 284, 665, 677, 418, 36618, 73, 4413, 464, 26, 6933, 30, 4356, 35, 30, 4356, 36, 30, 4356, 37, 30, 743, 47516, 711, 291, 442, 1524, 34, 677, 418, 36618, 11213, 203, 35, 308, 7354, 279, 15987, 27, 203, 38, 308, 73, 4413, 464, 2971, 743, 32, 1542, 27, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 4, 7, 8, 8, 8, 6, 7, 6, 5, 5, 6, 4, 4, 4, 6, 7, 7, 4, 4, 5, 5, 5, 0, 1, 1, 2, 2, 1, 1, 1, 5, 5, 5, 4, 4, 6, 2, 2, 5, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 5, 4, 4, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 9, 9, 8, 8, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 9, 10, 9, 5, 5, 6, 8, 8, 7, 7, 6, 6, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 12, 10, 10, 12, 12, 12, 11, 6, 6, 7, 9, 9, 8, 8, 10, 10, 7, 7, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 11, 11, 13, 13, 13, 12, 12, 13, 13, 12, 6, 6, 7, 7, 7, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 11, 11, 13, 13, 13, 12, 12, 13, 13, 12, 5, 5, 6, 8, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 4, 4, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 5, 5, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 9, 9, 9, 9, 8, 8, 7, 7, 9, 9, 9, 9, 8, 8, 6, 6, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 12, 10, 10, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 11, 11, 11, 6, 6, 7, 7, 7, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 11, 11, 13, 13, 13, 13, 13, 12, 12, 13, 13, 13, 13, 12, 12, 12, 12, 13, 13, 13, 13, 12, 12, 13, 13, 13, 13, 12, 5, 5, 6, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 4, 4, 4, 0, 4, 4, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 1, 3, 3, 0, 0, 1, 3, 3, 0, 0, 0, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 0, 0, 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, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 7, 7, 7, 7, 2, 2, 9, 9, 9, 9, 2, 4, 4, 3, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 3, 3, 1, 6, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 17787, 203, 465, 5741, 203, 465, 2322, 203, 465, 25679, 203, 465, 7060, 203, 465, 16539, 203, 465, 5237, 203, 465, 1133, 203, 465, 27374, 203, 1070, 261, 2664, 81, 858, 81, 2121, 264, 1188, 1171, 1006, 6052, 203, 3731, 32, 983, 32, 1689, 26, 1598, 1006, 6052, 32, 12882, 81, 3765, 81, 18442, 81, 3197, 27, 203, 1070, 261, 4705, 81, 2304, 351, 1188, 10819, 2755, 203, 1070, 261, 26347, 81, 2304, 225, 1188, 19802, 1280, 2755, 203, 465, 2664, 81, 858, 81, 2304, 203, 1070, 261, 894, 1732, 81, 2121, 958, 1188, 2108, 1732, 6052, 203, 465, 26252, 81, 2946, 81, 858, 81, 2304, 203, 465, 8607, 203, 823, 41273, 7099, 1006, 26, 21442, 2755, 30, 10819, 2755, 711, 284, 894, 2459, 14246, 1215, 558, 280, 2322, 32, 983, 32, 35490, 4064, 761, 8223, 284, 894, 10907, 14246, 1215, 558, 225, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 26, 858, 2459, 14246, 1215, 558, 490, 284, 665, 1156, 1664, 3207, 784, 30, 2664, 1006, 6052, 711, 291, 630, 32, 2946, 1006, 6052, 280, 2664, 1006, 6052, 291, 2599, 26, 22605, 7099, 1006, 30, 630, 14585, 1664, 3207, 784, 27, 291, 343, 280, 5053, 426, 81, 1028, 81, 823, 950, 630, 3667, 823, 29215, 426, 505, 111, 284, 665, 7060, 81, 4531, 26, 784, 30, 7060, 30, 3118, 711, 291, 630, 32, 751, 81, 1436, 440, 19497, 14098, 429, 2680, 21394, 30249, 29, 85, 657, 291, 630, 32, 751, 81, 1436, 440, 44615, 1169, 11740, 429, 4322, 4465, 2417, 657, 291, 26252, 81, 2946, 81, 858, 81, 2304, 32, 4048, 81, 464, 81, 7001, 81, 10333, 81, 25474, 26, 784, 32, 2946, 1006, 6052, 30, 630, 32, 36301, 6052, 27, 291, 5237, 32, 4775, 26, 35, 27, 3701, 665, 1420, 1006, 26, 784, 711, 291, 32197, 1215, 558, 720, 280, 2664, 81, 858, 81, 2304, 32, 371, 81, 1515, 81, 8478, 81, 1793, 81, 4254, 26, 324, 630, 32, 858, 10907, 14246, 1215, 558, 30, 1171, 1006, 6052, 32, 12882, 81, 3765, 81, 11252, 81, 9857, 27, 291, 32197, 1215, 558, 720, 32, 3323, 346, 291, 436, 32197, 1215, 558, 328, 32197, 1215, 558, 720, 44, 324, 7116, 2272, 7233, 280, 3177, 324, 1596, 44, 8982, 630, 32, 36301, 6052, 280, 2108, 1732, 6052, 26, 784, 32, 2946, 1006, 6052, 30, 630, 27, 400, 630, 32, 36301, 6052, 32, 858, 10907, 1761, 2976, 280, 630, 32, 858, 10907, 14246, 1215, 558, 400, 630, 32, 36301, 6052, 32, 27013, 19279, 7233, 1215, 558, 26, 42450, 1215, 558, 27, 400, 630, 32, 36301, 6052, 32, 36301, 8555, 7167, 280, 630, 32, 36301, 6052, 32, 36301, 3910, 2216, 750, 7167, 1365, 36301, 81, 1132, 1446, 400, 894, 1732, 2976, 558, 280, 630, 32, 36301, 6052, 32, 36301, 5472, 7167, 1365, 81, 858, 81, 1732, 81, 426, 1446, 400, 415, 630, 32, 2946, 1006, 6052, 32, 1216, 1006, 27948, 4495, 44, 528, 630, 32, 36301, 6052, 32, 1216, 7233, 3234, 26, 36301, 2976, 558, 27, 528, 4036, 400, 4348, 630, 32, 2946, 1006, 6052, 32, 297, 7233, 705, 11393 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 0, 1, 1, 1, 3, 3, 1, 1, 1, 3, 0, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 6, 6, 10, 10, 10, 10, 10, 10, 8, 10, 11, 11, 10, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 4, 4, 8, 8, 8, 7, 8, 7, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 6, 6, 7, 7, 7, 11, 12, 12, 10, 10, 12, 12, 12, 14, 13, 14, 14, 14, 12, 12, 12, 8, 8, 12, 13, 13, 11, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 12, 12, 8, 8, 12, 13, 13, 11, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 8, 8, 12, 13, 13, 11, 12, 12, 12, 10, 10, 13, 14, 14, 12, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 8, 8, 11, 11, 11, 10, 10, 13, 14, 14, 12, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 8, 8, 9, 11, 12, 12, 12, 10, 11, 11, 11, 11, 9, 9, 9, 14, 15, 15, 13, 14, 14, 14, 13, 14, 14, 14, 13, 10, 10, 9, 9, 10, 13, 14, 14, 14, 12, 13, 13, 13, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 11, 11, 11, 0, 0, 11, 11, 11, 0, 0, 12, 12, 12, 0, 0, 12, 12, 12, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 14, 14, 14, 0, 0, 0, 14, 14, 14, 0, 0, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 17, 17, 1, 1, 2, 1, 1, 2, 2, 3, 2, 17, 17, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 2, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 0, 0, 0, 0, 5, 5, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 0, 2, 2, 2, 1, 2, 2, 2, 2, 5, 5, 5, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 5, 5, 4, 0, 2, 2, 2, 0, 2, 2, 2, 2 ]
[ 1070, 7138, 1188, 7138, 619, 343, 203, 1070, 1673, 2304, 32, 1515, 81, 1040, 1188, 1933, 81, 3242, 203, 465, 2322, 203, 1070, 40605, 666, 97, 32, 7101, 1188, 15386, 203, 1070, 40605, 666, 97, 32, 3550, 81, 4018, 1188, 9923, 1572, 619, 5798, 70, 9825, 203, 589, 4450, 81, 8929, 26, 5646, 30, 14765, 711, 284, 13600, 280, 2149, 284, 436, 2364, 328, 14765, 44, 291, 6341, 280, 2364, 32, 770, 32, 9328, 1643, 346, 291, 4947, 280, 2364, 32, 770, 32, 20834, 4912, 75, 657, 291, 6811, 280, 2364, 32, 770, 32, 20834, 4912, 95, 657, 291, 5808, 280, 2364, 32, 770, 32, 20834, 4912, 86, 657, 291, 415, 4947, 646, 328, 13600, 44, 324, 13600, 77, 4548, 79, 280, 2149, 291, 415, 6811, 646, 328, 13600, 77, 4548, 2786, 324, 13600, 77, 4548, 1674, 5904, 79, 280, 2149, 291, 415, 5808, 646, 328, 13600, 77, 4548, 1674, 5904, 2786, 324, 13600, 77, 4548, 1674, 5904, 1674, 3368, 79, 280, 1605, 291, 13600, 77, 4548, 1674, 5904, 1674, 3368, 997, 1689, 26, 1526, 27, 284, 4947, 81, 2387, 280, 5798, 70, 9825, 32, 371, 440, 23164, 81, 17143, 657, 284, 6811, 81, 2387, 280, 5798, 70, 9825, 32, 371, 440, 22846, 81, 17143, 657, 284, 5808, 81, 2387, 280, 5798, 70, 9825, 32, 371, 440, 14318, 81, 17143, 657, 284, 551, 3602, 3197, 280, 5798, 70, 9825, 32, 371, 463, 52, 3602, 3197, 683, 284, 436, 4947, 328, 13600, 44, 291, 1519, 280, 5461, 101, 9708, 101, 20, 904, 308, 52, 3602, 3197, 30, 4947, 27, 291, 15386, 32, 5536, 81, 1055, 81, 761, 26, 983, 30, 4947, 81, 2387, 30, 1115, 2367, 1526, 81, 2665, 563, 13600, 77, 4548, 614, 313, 4548, 563, 4947, 1748, 291, 436, 6811, 328, 13600, 77, 4548, 2786, 324, 1519, 280, 5461, 101, 9708, 101, 9708, 101, 20, 904, 308, 52, 3602, 3197, 30, 4947, 30, 6811, 27, 324, 15386, 32, 5536, 81, 1055, 81, 761, 26, 983, 30, 6811, 81, 2387, 30, 1115, 2367, 1526, 81, 2665, 563, 13600, 77, 4548, 1674, 5904, 614, 313, 4548, 563, 4947, 30, 313, 5904, 563, 6811, 1748, 324, 436, 5808, 328, 13600, 77, 4548, 1674, 5904, 2786, 400, 1519, 280, 5461, 101, 9708, 101, 9708, 101, 9708, 101, 20, 904, 308, 52, 3602, 3197, 30, 4947, 30, 6811, 30, 5808, 27, 400, 15386, 32, 5536, 81, 1055, 81, 761, 26, 983, 30, 5808, 81, 2387, 30, 1115, 2367, 1526, 81, 668, 563, 13600, 77, 4548, 1674, 5904, 1674, 3368, 614, 313, 4548, 563, 4947, 30, 313, 5904, 563, 6811, 30, 313, 3368, 563, 5808, 1748, 203, 589, 1933, 81, 1574, 81, 2536, 2740, 1132, 711, 284, 394, 18693, 8149, 3900, 280, 5798, 70, 9825, 32, 371, 463, 10115, 62, 8149, 3900, 683, 284, 45952, 3197, 280, 5798, 70, 9825, 32, 371, 463, 14673, 3197, 683, 284, 358, 780, 1345, 3900, 280, 5798, 70, 9825, 32, 371, 463, 69, 780, 1345, 3900, 683, 284, 907, 81, 2851, 280, 5461, 101, 9708, 101, 20, 904, 308, 69, 780, 1345, 3900, 30, 45952, 3197, 27, 284, 1933, 81, 3242 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 4, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 9, 10, 8, 9, 9, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 9, 8, 8, 4, 4, 5, 6, 6, 6, 7, 8, 7, 5, 5, 10, 11, 10, 10, 9, 8, 8, 4, 4, 5, 6, 6, 6, 8, 9, 8, 8, 7, 5, 5, 11, 12, 11, 11, 10, 10, 9, 8, 8, 4, 4, 10, 11, 10, 10, 9, 9, 8, 8, 7, 8, 7, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 9, 9, 9, 9, 7, 7, 9, 9, 9, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 7, 9, 12, 12, 12, 12, 10, 11, 12, 11, 9, 12, 12, 10, 9, 4, 4, 5, 5, 5, 6, 7, 6, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 10, 10, 10, 10, 10, 6, 6, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 10, 9, 9, 11, 14, 14, 14, 14, 12, 14, 15, 14, 14, 13, 11, 14, 14, 12, 11, 11, 14, 14, 12, 11, 6, 6, 7, 7, 7, 9, 10, 9, 9, 8, 7, 7, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 12, 12, 12, 12, 12, 12, 12, 8, 8, 11, 12, 12, 12, 12, 12, 11, 12, 11, 11, 12, 12, 11, 11, 13, 16, 16, 16, 16, 14, 17, 18, 17, 17, 16, 16, 15, 13, 16, 16, 14, 13, 13, 16, 16, 14, 13, 13, 16, 16, 14, 13, 0, 1, 1, 2, 2, 2, 2, 2, 4, 2, 1, 1, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 8, 2, 2, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 6, 6, 7, 6, 2, 2, 5, 5 ]
[ 0, 0, 0, 0, 3, 3, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 1, 2, 2, 2, 4, 4, 0, 3, 3, 2, 2, 0, 5, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 2, 5, 5, 4, 1, 1, 1, 4, 4, 4, 0, 2, 0, 0, 0, 5, 5, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 2, 0, 2, 0, 0, 0, 5, 5, 6, 1, 1, 1, 0, 2, 0, 2, 2, 6, 6, 0, 2, 0, 2, 0, 2, 0, 0, 0, 5, 5, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 6, 6, 6, 6, 6, 6, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 5, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 3, 1, 5, 5, 2, 2, 2, 3, 2, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 5, 1, 5, 5, 2, 2, 2, 0, 2, 0, 2, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 5, 1, 1, 1, 2, 7, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 4, 4, 0, 0 ]
[ 465, 1133, 203, 1070, 7138, 1188, 7138, 203, 1070, 2340, 1040, 32, 9535, 6558, 1188, 6491, 6558, 203, 1070, 14461, 1188, 438, 274, 368, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 465, 3089, 749, 98, 32, 23403, 32, 12710, 81, 15144, 619, 11339, 203, 31141, 81, 9302, 280, 5461, 75, 9299, 95, 9299, 86, 20, 203, 823, 12966, 81, 8919, 26, 500, 104, 32, 500, 104, 711, 284, 617, 6815, 280, 330, 3935, 32, 8919, 25, 284, 617, 2310, 280, 330, 5137, 16918, 25, 284, 617, 6057, 280, 301, 291, 330, 671, 101, 950, 3829, 32, 1808, 463, 3187, 69, 370, 16105, 81, 7924, 47, 5974, 32, 371, 81, 15144, 463, 8691, 1019, 1425, 3049, 347, 5946, 436, 29685, 475, 318, 2927, 821, 6374, 2113, 291, 330, 5350, 81, 10321, 395, 950, 3829, 32, 4398, 463, 6636, 23083, 672, 370, 3049, 347, 2140, 458, 4376, 415, 844, 2355, 2608, 723, 436, 5398, 2113, 291, 330, 38956, 81, 2372, 23203, 950, 3829, 32, 1808, 463, 43081, 701, 8841, 723, 370, 16105, 81, 7924, 47, 5974, 32, 371, 81, 15144, 463, 8691, 1019, 1425, 3049, 347, 22923, 2927, 22057, 10512, 3943, 40210, 7889, 23203, 2113, 291, 330, 3060, 574, 672, 81, 510, 3843, 304, 81, 15072, 950, 3829, 32, 1808, 463, 5450, 574, 672, 1312, 3843, 304, 35388, 10027, 7243, 16105, 81, 7924, 47, 5974, 32, 371, 81, 15144, 463, 8691, 1019, 1425, 3049, 347, 72, 12249, 438, 312, 10061, 2470, 2154, 266, 844, 883, 21141, 1829, 2784, 322, 35544, 10635, 10929, 432, 225, 35, 36, 23, 688, 1401, 2583, 47537, 733, 810, 322, 31789, 461, 676, 12249, 15279, 619, 17722, 7846, 43471, 291, 330, 9391, 81, 16502, 81, 4568, 723, 81, 23827, 81, 3780, 23827, 950, 3829, 32, 1808, 463, 18747, 559, 304, 10806, 723, 10027, 7243, 16105, 81, 7924, 47, 5974, 32, 371, 81, 15144, 463, 8691, 1019, 1425, 3049, 347, 5137, 51, 438, 600, 2608, 723, 2702, 810, 322, 17037, 265, 372, 322, 19036, 436, 15137, 9347, 432, 6697, 39522, 279, 556, 1430, 30023, 367, 2910, 20353, 436, 3279, 290, 11297, 561, 438, 225, 39, 34, 23, 461, 436, 2979, 3279, 290, 225, 38, 34, 20780, 766, 96, 5137, 51, 15279, 619, 17722, 7846, 43471, 291, 330, 22034, 727, 672, 81, 4568, 723, 950, 3829, 32, 1808, 463, 33777, 727, 672, 10806, 723, 370, 16105, 81, 7924, 47, 5974, 32, 371, 81, 15144, 463, 8691, 1019, 13356, 284, 320, 203, 823, 10388, 1019, 81, 339, 679, 26, 500, 104, 32, 500, 104, 711, 284, 5881, 284, 22555, 3586, 679, 284, 5881, 284, 617, 426, 280, 330, 3935, 32, 7007, 1019, 32, 339, 679, 25, 284, 617, 2310, 280, 330, 12176, 3586, 679, 25, 284, 617, 6057, 280, 301, 291, 330, 426, 950, 4151, 32, 1594, 463, 558, 370, 1334, 47, 37, 36, 30, 4283, 47, 1815, 30, 2129, 47, 1815, 30, 10066, 12516, 16140, 950, 41449, 12360, 370, 3177, 2177, 835, 471, 291, 330, 5766, 950, 3829, 32, 878, 463, 3234, 1425, 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, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 4, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 10, 10, 9, 12, 11, 12, 12, 12, 11, 13, 13, 13, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 8, 10, 10, 9, 12, 11, 12, 12, 12, 11, 13, 13, 13, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 9, 12, 11, 12, 12, 12, 11, 13, 13, 13, 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, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 9, 12, 11, 12, 12, 12, 11, 13, 13, 13, 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, 12, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 9, 12, 11, 12, 12, 12, 11, 13, 13, 13, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 9, 8, 9, 8, 10, 10, 8, 9, 10, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 13, 13, 11, 15, 15, 13, 13, 10, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 5 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 0, 1, 2, 2, 5, 5, 5, 5, 0, 0, 6, 6, 0, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 2, 0, 0, 1, 2, 2, 2, 8, 8, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 3, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 5, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 11, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 9, 9, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 9, 9, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 3, 0, 2, 1, 1, 2, 2 ]
[ 1070, 3872, 32, 2245, 1439, 32, 1612, 1078, 4455, 1188, 1509, 1078, 203, 1070, 3872, 32, 7224, 9353, 1188, 13254, 11606, 4455, 203, 1070, 3872, 32, 2795, 1188, 4187, 203, 15733, 1972, 13793, 2130, 280, 225, 38, 34, 34, 34, 32, 34, 225, 203, 823, 7813, 1572, 44, 284, 11748, 280, 13254, 11606, 4455, 32, 7224, 11606, 32, 890, 4220, 440, 2422, 1572, 657, 284, 2637, 15102, 19366, 12471, 280, 1359, 32, 936, 5957, 463, 13454, 31, 9701, 31, 22040, 31, 18354, 370, 225, 34, 27, 284, 2637, 15102, 19366, 3529, 280, 1359, 32, 936, 5957, 463, 13454, 31, 9701, 31, 22040, 31, 2811, 370, 225, 34, 27, 284, 2637, 73, 1099, 54, 280, 1359, 32, 936, 5957, 463, 13454, 31, 73, 1099, 54, 370, 225, 34, 27, 284, 665, 1156, 1664, 3207, 784, 30, 5352, 47, 1815, 30, 3097, 6384, 17749, 280, 3177, 711, 291, 1201, 630, 32, 9353, 32, 2811, 440, 1664, 3498, 7884, 904, 101, 20, 904, 308, 4617, 6384, 17749, 490, 291, 1201, 630, 32, 9353, 32, 2811, 1853, 26, 314, 26, 784, 490, 291, 630, 32, 4617, 6384, 17749, 280, 3097, 6384, 17749, 291, 630, 32, 1131, 1078, 10911, 280, 1605, 291, 630, 32, 73, 1099, 6271, 375, 10911, 280, 1605, 291, 630, 3667, 73, 1099, 6271, 375, 280, 2933, 291, 630, 32, 10853, 280, 2149, 291, 630, 32, 1700, 6388, 280, 1665, 291, 630, 32, 1700, 6388, 558, 280, 1665, 291, 630, 32, 30711, 280, 225, 34, 291, 415, 5352, 44, 324, 630, 32, 4898, 346, 291, 630, 32, 5538, 4695, 17861, 1763, 280, 1665, 291, 415, 630, 32, 4617, 6384, 17749, 44, 4288, 8526, 47, 784, 32, 1131, 1078, 10911, 324, 8526, 32, 1689, 26, 1131, 1078, 32, 6589, 1554, 24979, 440, 7543, 392, 313, 6461, 81, 417, 392, 1509, 2028, 47, 1131, 1078, 32, 12513, 5037, 490, 324, 8526, 32, 1689, 26, 1131, 1078, 32, 6589, 1554, 24979, 440, 9833, 392, 313, 6461, 81, 1746, 392, 1509, 2028, 47, 1131, 1078, 32, 12513, 5037, 490, 324, 8526, 32, 1689, 26, 1131, 1078, 32, 6589, 1554, 24979, 440, 389, 3679, 392, 313, 6461, 81, 1873, 392, 1509, 2028, 47, 1131, 1078, 32, 12513, 5037, 490, 324, 8526, 32, 1689, 26, 1131, 1078, 32, 6589, 1554, 24979, 440, 389, 4046, 392, 313, 6461, 81, 990, 392, 1509, 2028, 47, 1131, 1078, 32, 12513, 5037, 490, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 330, 2422, 1572, 44, 1471, 13894, 23, 101, 78, 2699, 904, 630, 32, 1700, 6388, 558, 284, 665, 1015, 26, 784, 30, 12570, 30, 636, 347, 6390, 10280, 291, 1201, 630, 32, 9353, 32, 2811, 1853, 26, 314, 26, 784, 490, 291, 1201, 12570, 438, 646, 1665, 291, 3610, 6388, 280, 630, 32, 10853, 32, 371, 26, 426, 27, 291, 415, 3610, 6388, 438, 646, 1665, 44, 324, 1201, 630, 32, 9353, 32, 2811, 440, 46939, 4256, 12570, 44, 904, 101, 20, 904, 636, 27, 324, 3610, 6388, 32, 5820, 15102, 6388, 346, 324, 3610, 6388, 32, 470, 9462, 14684, 4077, 26, 34, 27, 324, 3610, 6388, 32, 2560, 346, 291, 12570 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 2, 1, 1, 1, 4, 4, 8, 8, 7, 8, 8, 6, 7, 7, 6, 8, 8, 8, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 6, 8, 8, 8, 8, 8, 8, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 9, 4, 4, 5, 8, 9, 7, 8, 8, 7, 9, 9, 10, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 5, 5, 5, 5, 9, 10, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 8, 10, 9, 10, 10, 10, 6, 6, 9, 10, 9, 12, 12, 11, 12, 12, 12, 11, 13, 13, 11, 13, 13, 13, 13, 11, 13, 12, 14, 14, 13, 14, 14, 11, 6, 6, 9, 10, 9, 12, 12, 11, 12, 12, 12, 11, 13, 13, 11, 13, 13, 13, 13, 11, 13, 12, 14, 14, 13, 14, 14, 11, 6, 6, 9, 10, 9, 12, 12, 11, 12, 12, 12, 11, 13, 13, 13, 11, 13, 13, 13, 13, 11, 13, 12, 14, 14, 13, 14, 14, 11, 6, 6, 9, 10, 9, 12, 12, 11, 12, 12, 12, 11, 13, 13, 13, 11, 13, 13, 13, 13, 11, 13, 12, 14, 14, 13, 14, 14, 11, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 9, 9, 6, 6, 7, 8, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 7, 7, 3, 3, 5, 8, 9, 7, 8, 8, 7, 9, 9, 10, 9, 4, 4, 5, 6, 6, 6, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 5, 7, 6, 6, 6, 5, 5, 5, 7, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 6, 6, 10, 9, 10, 10, 10, 9, 6, 6, 10, 9, 10, 10, 10, 10, 9, 10, 9, 6, 6, 10, 9, 10, 9, 4, 4 ]
[ 0, 0, 1, 2, 2, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 3, 3, 4, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 5, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 10, 10, 10, 10, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 12, 1, 2, 2, 2, 12, 12, 12, 0, 0, 2, 2, 2, 2, 3, 3, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 5, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 5, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 5, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 5, 0, 0, 2, 2, 2, 1, 3, 3, 5, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 6, 2, 1, 2, 2, 2, 2, 5, 1, 2, 6, 6, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 0, 1, 1, 1, 3, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 4, 4 ]
[ 1070, 638, 1188, 12697, 81, 30379, 81, 21880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1673, 2304, 32, 3515, 203, 465, 1673, 2304, 32, 751, 203, 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 823, 41852, 2019, 26, 2452, 2304, 32, 3515, 32, 2019, 711, 203, 202, 2310, 280, 313, 10505, 312, 894, 14755, 3639, 3107, 203, 202, 496, 81, 2184, 280, 1605, 203, 202, 589, 7379, 81, 2184, 26, 784, 711, 357, 202, 4617, 203, 202, 589, 34207, 81, 2184, 26, 784, 711, 357, 202, 4617, 1659, 202, 589, 1420, 26, 784, 711, 357, 202, 465, 16539, 357, 202, 27958, 32, 1553, 81, 1851, 2009, 355, 202, 20, 14550, 392, 355, 202, 20, 1945, 392, 355, 202, 20, 287, 1855, 47, 5043, 392, 355, 202, 20, 5522, 32, 978, 392, 355, 202, 20, 858, 392, 357, 202, 1130, 357, 202, 784, 32, 18023, 26, 355, 202, 20, 45285, 45594, 392, 355, 202, 2649, 47, 2452, 2304, 32, 751, 32, 1589, 357, 202, 27, 357, 202, 27958, 32, 1553, 81, 1851, 2009, 355, 202, 20, 14550, 392, 355, 202, 20, 3734, 20, 357, 202, 1130, 357, 202, 27958, 32, 1553, 81, 1851, 2009, 355, 202, 20, 14550, 392, 355, 202, 20, 916, 20, 357, 202, 1130, 203, 5522, 26, 203, 202, 3515, 823, 1279, 357, 202, 20, 14550, 563, 41852, 2019, 203, 202, 835, 203, 202, 426, 347, 85, 453, 16596, 392, 203, 202, 1648, 347, 34, 32, 35, 32, 39, 392, 203, 202, 2116, 347, 63, 2673, 94, 399, 32, 506, 530, 278, 570, 267, 108, 1552, 108, 392, 203, 202, 2116, 81, 1935, 347, 95, 2673, 94, 32, 88, 530, 278, 32, 7059, 108, 1552, 108, 50, 7253, 32, 508, 392, 203, 202, 5043, 47, 1809, 81, 5043, 440, 5043, 2113, 203, 202, 2011, 81, 5043, 6020, 357, 202, 20, 85, 453, 16596, 392, 357, 202, 20, 85, 453, 16596, 32, 6385, 392, 357, 202, 20, 85, 453, 16596, 32, 6385, 32, 95, 21894, 392, 357, 202, 20, 85, 453, 16596, 32, 6385, 32, 9404, 20, 203, 202, 614, 203, 202, 1320, 81, 1515, 1279, 357, 202, 46932, 313, 5043, 20, 203, 202, 835, 203, 202, 858, 81, 9089, 347, 4882, 4676, 392, 203, 202, 965, 347, 641, 555, 21969, 32, 2958, 32, 1088, 33, 21969, 33, 85, 453, 16596, 392, 203, 202, 2077, 347, 4092, 32, 2760, 392, 203, 202, 2310, 347, 21321, 372, 793, 8684, 436, 20174, 570, 386, 35593, 11146, 4414, 203, 202, 3222, 81, 2310, 47, 1676, 440, 10229, 31, 38788, 32, 954, 1895, 850, 346, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 3, 4, 5, 4, 3, 3, 5, 5, 4, 4, 8, 7, 8, 8, 8, 7, 8, 8, 10, 10, 10, 8, 8, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 8, 8, 8, 4, 4, 8, 7, 8, 7, 7, 7, 9, 9, 9, 9, 7, 7, 9, 8, 11, 11, 10, 11, 9, 10, 7, 7, 7, 4, 4, 8, 7, 8, 8, 8, 7, 8, 8, 10, 10, 10, 8, 8, 10, 10, 10, 8, 8, 8, 4, 4, 8, 7, 8, 8, 8, 7, 8, 8, 10, 10, 10, 8, 8, 10, 10, 10, 8, 8, 8, 0, 3, 3, 3, 3, 5, 5, 4, 5, 5, 8, 8, 8, 6, 7, 5, 5, 5, 3, 3, 5, 4, 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, 3, 3, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 8, 8, 3, 3, 5, 5, 5, 4, 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, 5, 3, 3, 5, 5, 5, 4, 5, 5, 8, 6, 8, 8, 5, 5, 5, 3, 3, 5, 5, 5, 4, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 4, 8, 8, 10, 10, 10, 10, 10, 10, 7, 6, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 0, 0, 0, 2, 1, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 4, 4, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 4, 4, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 4, 4, 4, 4, 2, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 3, 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, 2, 1, 1, 0, 0, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 11, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 13, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 15, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 17, 1, 1, 2, 1, 1, 0, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 21, 1, 1, 1, 2, 1, 1, 0, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 25, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 29947, 1188, 4705, 203, 1070, 1673, 2304, 32, 1262, 1188, 5718, 203, 1070, 2322, 32, 983, 1188, 7140, 619, 298, 2524, 203, 1270, 44, 284, 1188, 484, 978, 1427, 10065, 1401, 81, 929, 107, 1427, 280, 2933, 203, 7343, 29986, 44, 284, 1401, 81, 929, 107, 1427, 280, 3177, 203, 465, 5034, 3209, 32, 2304, 261, 203, 1070, 5034, 3209, 32, 2304, 32, 2452, 1188, 622, 81, 5043, 30, 622, 81, 605, 81, 2536, 261, 203, 1356, 3209, 32, 2304, 32, 19415, 81, 852, 21320, 2893, 81, 10431, 280, 3177, 203, 5177, 36, 280, 5237, 32, 1648, 81, 1338, 77, 34, 79, 610, 225, 36, 203, 5177, 37, 280, 5237, 32, 1648, 81, 1338, 77, 34, 79, 610, 225, 37, 203, 5177, 37, 81, 1001, 81, 37, 38, 280, 19430, 37, 461, 5237, 32, 1648, 81, 1338, 333, 308, 37, 30, 225, 38, 27, 203, 5177, 36, 81, 1001, 81, 36, 40, 280, 19430, 36, 461, 5237, 32, 1648, 81, 1338, 333, 308, 36, 30, 225, 40, 27, 203, 5177, 36, 81, 1001, 81, 36, 41, 280, 19430, 36, 461, 5237, 32, 1648, 81, 1338, 333, 308, 36, 30, 225, 41, 27, 203, 5177, 36, 81, 1001, 81, 36, 41, 43, 280, 19430, 36, 461, 5237, 32, 1648, 81, 1338, 333, 308, 36, 30, 225, 41, 30, 225, 43, 27, 203, 4424, 81, 11483, 8182, 81, 6177, 280, 330, 641, 555, 19370, 32, 2104, 32, 1088, 33, 1071, 4816, 33, 1356, 3209, 33, 28608, 25, 203, 12146, 81, 6177, 81, 3197, 280, 330, 525, 555, 1356, 3209, 32, 2104, 32, 1088, 25, 203, 3765, 81, 47442, 280, 2107, 1356, 3209, 33, 858, 370, 330, 1356, 3209, 33, 858, 33, 2282, 370, 330, 1356, 3209, 33, 858, 33, 7924, 370, 1090, 330, 1356, 3209, 33, 858, 33, 4219, 370, 330, 1356, 3209, 33, 858, 33, 944, 30626, 370, 1090, 330, 1356, 3209, 33, 858, 33, 12236, 370, 330, 1356, 3209, 33, 858, 33, 2630, 370, 1090, 330, 1356, 3209, 33, 858, 33, 10181, 785, 203, 14867, 81, 3765, 81, 43510, 280, 2107, 1356, 3209, 32, 7924, 32, 18150, 32, 11215, 370, 528, 330, 1356, 3209, 32, 4219, 32, 18150, 32, 11215, 370, 528, 330, 1356, 3209, 32, 12236, 32, 18150, 32, 11215, 370, 528, 330, 1356, 3209, 32, 2630, 32, 18150, 32, 11215, 370, 528, 330, 1356, 3209, 32, 10181, 32, 18150, 32, 11215, 785, 203, 22471, 81, 4530, 69, 280, 2107, 36, 32, 40, 370, 330, 36, 32, 41, 370, 330, 4997, 4997, 370, 330, 37, 32, 106, 785, 203, 3765, 81, 20744, 32477, 280, 428, 284, 330, 3613, 370, 284, 330, 9698, 370, 284, 330, 9698, 81, 3613, 370, 284, 330, 12408, 370, 284, 330, 12408, 31, 10340, 25, 203, 79, 203, 325, 19430, 36, 81, 1001, 81, 36, 41, 43, 44, 284, 5895, 81, 20744, 32477, 32, 1689, 463, 975, 11170, 32, 6482, 81, 2872, 81, 12256, 683, 203, 325, 19430, 36, 81, 1001, 81, 36, 41, 556, 19430, 37, 81, 1001, 81, 37, 38, 44, 284, 1503, 280, 5608, 2473, 2524, 2009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 1, 1, 3, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 0, 1, 1, 3, 2, 3, 0, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 0, 5, 5, 4, 5, 3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 0, 3, 3, 2, 2, 5, 6, 6, 6, 4, 5, 4, 3, 3, 4, 0, 3, 3, 2, 2, 5, 6, 6, 6, 4, 5, 4, 3, 3, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 5, 6, 6, 6, 4, 4, 6, 5, 5, 6, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 5, 6, 6, 6, 4, 4, 6, 5, 5, 6, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 5, 6, 6, 6, 4, 4, 6, 5, 5, 6, 5, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 5, 6, 6, 6, 4, 4, 6, 5, 5, 6, 5, 5, 6, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 6, 6, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 1, 1, 1, 4, 4, 8, 7, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 3, 3, 2, 0, 5, 5, 5, 5, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 5, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 5, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 21, 21, 1, 1, 1, 1, 1, 1, 1, 21, 21, 21, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 22, 22, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 22, 22, 22, 0, 0, 2, 2, 1 ]
[ 1070, 323, 46975, 1188, 323, 46975, 81, 990, 203, 1070, 6560, 13821, 1188, 6090, 203, 1070, 6560, 13821, 32, 11765, 401, 1188, 999, 104, 203, 1070, 6560, 13821, 32, 8524, 1188, 5547, 1959, 30, 19818, 639, 30, 707, 1190, 100, 30, 35198, 203, 1070, 6560, 13821, 32, 761, 1199, 32, 26421, 1188, 41837, 3566, 203, 1070, 6560, 13821, 32, 2946, 1188, 3502, 3651, 203, 1070, 6560, 13821, 32, 1040, 1188, 3995, 81, 426, 203, 823, 4306, 1419, 2871, 924, 26, 984, 711, 284, 3097, 203, 823, 47800, 26, 1473, 711, 284, 3104, 81, 5136, 280, 2933, 284, 477, 37697, 284, 665, 1292, 81, 2812, 81, 7572, 26, 784, 30, 4759, 30, 8430, 711, 291, 3636, 22210, 284, 477, 37697, 284, 665, 1600, 81, 7572, 26, 784, 30, 4759, 30, 8430, 711, 291, 3636, 22210, 284, 477, 37697, 284, 665, 2364, 2052, 81, 7572, 26, 784, 30, 3082, 761, 30, 3432, 3631, 47, 2700, 711, 291, 3636, 22210, 284, 477, 37697, 284, 665, 2364, 2052, 81, 6308, 26, 784, 30, 3082, 761, 30, 9262, 579, 30, 2179, 3739, 5615, 47, 2521, 30, 2197, 29604, 47, 2521, 711, 291, 3636, 22210, 284, 665, 4336, 401, 26, 784, 30, 4759, 30, 8430, 711, 291, 442, 13516, 401, 346, 284, 477, 37697, 284, 665, 5955, 81, 6308, 26, 784, 30, 4759, 30, 8430, 711, 291, 3636, 22210, 284, 477, 37697, 284, 665, 1292, 81, 2812, 81, 6308, 26, 784, 30, 4759, 30, 8430, 711, 291, 3636, 22210, 284, 477, 37697, 284, 665, 537, 81, 8708, 26, 784, 30, 4759, 30, 1650, 426, 711, 291, 3636, 22210, 203, 823, 24381, 2782, 13172, 26, 13172, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2838, 711, 291, 630, 1114, 2661, 280, 2838, 284, 665, 1292, 81, 2812, 81, 7572, 26, 784, 30, 4759, 30, 8430, 711, 291, 442, 630, 1114, 2661, 32, 462, 81, 2812, 81, 7572, 26, 4219, 30, 8430, 27, 284, 665, 1600, 81, 7572, 26, 784, 30, 4759, 30, 8430, 711, 291, 442, 630, 1114, 2661, 32, 1495, 81, 7572, 26, 4219, 30, 8430, 27, 284, 665, 2364, 2052, 81, 7572, 26, 784, 30, 3082, 761, 30, 3432, 3631, 47, 2700, 711, 291, 442, 630, 1114, 2661, 32, 1526, 2052, 81, 7572, 26, 1199, 761, 30, 3432, 3631, 47, 2263, 3631, 27, 284, 665, 2364, 2052, 81, 6308, 26, 784, 30, 3082, 761, 30, 9262, 579, 30, 2179, 3739, 5615, 47, 2521, 30, 2197, 29604, 47, 2521, 711, 291, 442, 630, 1114, 2661, 32, 1526, 2052, 81, 6308, 26, 1199, 761, 30, 9262, 579, 30, 2179, 3739, 5615, 47, 3890, 30, 12928, 2197, 29604, 47, 545, 29604, 27, 284, 665, 4336, 401, 26, 784, 30, 4759, 30, 8430, 711, 291, 442, 630, 1114, 2661, 32, 11765, 401, 26, 4219, 30, 8430, 27, 284, 665, 5955, 81, 6308, 26, 784, 30, 4759, 30, 8430, 711, 291, 442, 630, 1114, 2661, 32, 13086, 81, 6308, 26, 4219, 30, 8430, 27, 284, 665, 1292, 81, 2812, 81, 6308, 26, 784, 30, 4759, 30, 8430, 711, 291, 442, 630, 1114, 2661, 32, 462, 81, 2812, 81, 6308, 26, 4219, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 7, 6, 7, 5, 4, 4, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 6, 7, 5, 5, 7, 6, 7, 5, 4, 4, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 5, 4, 4, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 6, 5, 6, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 8, 7, 8, 8, 7, 7, 9, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 5, 6, 4, 4, 6, 5, 6, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 8, 7, 8, 8, 7, 7, 8, 7, 7, 8, 7, 8, 9, 7, 7, 7, 9, 8, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 8, 8, 7, 8, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 3, 3, 0, 3, 3, 0, 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, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 8, 8, 2, 1, 2, 8, 8, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 4, 4, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 5, 2, 2, 1, 1, 0, 4, 4, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 9, 2, 2, 2, 0, 11, 2, 2, 1, 1, 0, 4, 4, 5, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 1, 4, 4, 1, 6, 6, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 4, 4, 1, 7, 7, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 4, 4, 1, 8, 8, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 1, 1, 0, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 5, 2, 2, 3, 3, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 3, 2, 2, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 9, 2, 2, 2, 0, 11, 2, 2, 4, 4, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 7, 2, 1, 1, 1, 0, 9, 2, 2, 1, 4, 4, 5, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 1070, 6436, 32, 4266, 1188, 1201, 81, 2228, 30, 1201, 3739, 1420, 81, 1647, 81, 9089, 203, 465, 18414, 203, 1070, 2678, 303, 639, 1188, 6915, 1449, 30, 6915, 17302, 30, 16355, 108, 30, 1910, 2067, 30, 10477, 81, 18088, 30, 10477, 81, 6521, 30, 831, 364, 36, 6521, 203, 589, 894, 81, 21460, 35, 2262, 284, 313, 4859, 225, 36, 31, 2649, 372, 30880, 21830, 461, 1751, 20, 284, 677, 35, 280, 18414, 32, 6386, 346, 319, 6915, 1449, 346, 474, 18414, 32, 6386, 346, 319, 6915, 17302, 346, 474, 766, 291, 18414, 32, 6386, 346, 319, 16355, 108, 346, 284, 484, 9359, 30, 24749, 5231, 280, 677, 35, 32, 39076, 10615, 346, 284, 677, 872, 280, 677, 35, 32, 3792, 26, 3748, 5231, 27, 40196, 677, 36, 280, 677, 872, 32, 3792, 26, 3748, 5231, 30, 2933, 27, 10065, 1201, 81, 2228, 1162, 58, 35, 429, 677, 36, 547, 7927, 346, 333, 225, 35, 87, 31, 40, 30, 2933, 27, 203, 589, 894, 81, 21460, 36, 2262, 284, 313, 4859, 225, 35, 34, 31, 2649, 4011, 31, 2810, 372, 30880, 21830, 461, 1751, 20, 284, 489, 280, 225, 35, 34, 284, 677, 35, 280, 1910, 2067, 1162, 34, 32, 39, 429, 18414, 32, 6386, 26, 64, 30, 489, 2610, 284, 677, 35, 280, 677, 35, 474, 677, 35, 32, 22288, 346, 284, 484, 9359, 30, 24749, 5231, 280, 677, 35, 32, 39076, 10615, 346, 284, 677, 872, 280, 677, 35, 32, 3792, 26, 3748, 5231, 27, 40196, 677, 36, 280, 677, 872, 32, 3792, 26, 3748, 5231, 30, 2933, 27, 10065, 1201, 81, 2228, 1162, 58, 35, 429, 677, 36, 547, 7927, 346, 333, 225, 35, 87, 31, 40, 30, 2933, 27, 203, 589, 894, 81, 21460, 37, 2262, 284, 313, 4859, 225, 35, 34, 31, 2649, 372, 30880, 21830, 461, 1751, 20, 284, 489, 280, 225, 35, 34, 284, 677, 35, 280, 1910, 2067, 1162, 34, 32, 39, 429, 18414, 32, 6386, 26, 64, 30, 489, 490, 474, 225, 35, 92, 319, 308, 34, 32, 39, 429, 18414, 32, 6386, 26, 64, 30, 489, 2610, 284, 677, 35, 280, 677, 35, 474, 677, 35, 32, 22288, 346, 284, 484, 9359, 30, 24749, 5231, 280, 677, 35, 32, 39076, 10615, 346, 284, 677, 872, 280, 677, 35, 32, 3792, 26, 3748, 5231, 27, 40196, 677, 36, 280, 677, 872, 32, 3792, 26, 3748, 5231, 30, 2933, 27, 10065, 1201, 81, 2228, 1162, 58, 35, 429, 677, 36, 547, 7927, 346, 333, 225, 35, 87, 31, 40, 30, 2933, 27, 203, 589, 894, 81, 21460, 38, 2262, 284, 313, 4859, 225, 35, 34, 31, 2649, 17463, 372, 30880, 21830, 461, 1751, 20, 284, 489, 280, 225, 35, 34, 284, 677, 35, 280, 1910, 2067, 26, 35, 92, 319, 308, 34, 32, 39, 429, 18414, 32, 6386, 26, 64, 30, 489, 2610, 284, 677, 35, 280, 677, 35, 474, 677, 35, 32, 22288, 346, 284, 484, 9359, 30, 24749, 5231, 280, 677, 35, 32, 39076, 10615, 346, 284, 677, 872, 280, 677, 35, 32, 3792, 26, 3748 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 9, 10, 9, 7, 7, 9, 9, 6, 6, 9, 10, 9, 7, 7, 9, 9, 5, 5, 6, 5, 8, 9, 8, 6, 6, 8, 8, 2, 2, 6, 5, 5, 6, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 6, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 6, 7, 6, 7, 7, 6, 6, 6, 2, 2, 5, 5, 5, 11, 11, 10, 10, 11, 9, 9, 8, 6, 6, 7, 7, 7, 7, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 5, 5, 2, 2, 5, 4, 4, 6, 6, 9, 9, 9, 8, 8, 10, 11, 10, 11, 10, 10, 10, 2, 2, 5, 4, 4, 6, 5, 5, 8, 7, 8, 7, 2, 2, 6, 5, 5, 6, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 6, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 6, 7, 6, 7, 7, 6, 6, 6, 2, 2, 5, 5, 5, 11, 11, 10, 10, 11, 9, 9, 8, 6, 6, 7, 7, 7, 7, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 5, 5, 2, 2, 5, 4, 4, 6, 6, 10, 10, 10, 9, 9, 11, 12, 11, 12, 11, 11, 11, 7, 7, 9, 9, 8, 8, 11, 11, 11, 10, 10, 12, 13, 12, 13, 12, 12, 12, 2, 2, 5, 4, 4, 6, 5, 5, 8, 7, 8, 7, 2, 2, 6, 5, 5, 6, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 6, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 6, 7, 6, 7, 7, 6, 6, 6, 2, 2, 5, 5, 5, 11, 11, 10, 10, 11, 9, 9, 8, 6, 6, 7, 7, 7, 7, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 5, 5, 2, 2, 5, 4, 4, 6, 6, 8, 8, 7, 7, 10, 10, 10, 9, 9, 11, 12, 11, 12, 11, 11, 11, 2, 2, 5, 4, 4, 6, 5, 5, 8, 7, 8, 7, 2, 2, 6, 5, 5, 6, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 6, 7, 6, 7 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 3, 3, 0, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 6, 6, 1, 1, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 7, 7, 1, 1, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1 ]
[ 465, 8971, 978, 619, 2197, 203, 465, 12500, 32, 17449, 619, 5743, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 465, 44360, 619, 29644, 203, 465, 18414, 619, 1869, 203, 465, 14785, 619, 5239, 203, 1070, 14785, 32, 12023, 32, 2215, 1188, 358, 6450, 107, 29248, 3041, 203, 1490, 81, 6158, 280, 9254, 273, 30, 11768, 44, 308, 102, 13824, 6974, 29, 102, 490, 326, 102, 203, 108, 266, 84, 81, 6158, 280, 9254, 273, 30, 11768, 30, 298, 44, 298, 474, 1833, 35, 22177, 98, 4586, 1162, 102, 13824, 6974, 29, 102, 490, 326, 102, 490, 203, 35237, 280, 9254, 816, 44, 225, 35, 32, 517, 308, 35, 33581, 2356, 32, 2832, 3736, 106, 490, 203, 751, 283, 280, 9254, 816, 44, 2065, 32, 751, 26, 106, 474, 225, 35, 87, 31, 41, 27, 429, 2065, 32, 751, 26, 35, 32, 429, 816, 474, 225, 35, 87, 31, 41, 27, 203, 4213, 81, 751, 283, 280, 9254, 816, 44, 5239, 32, 2405, 26, 4213, 32, 751, 26, 106, 474, 225, 35, 87, 31, 41, 27, 429, 5239, 32, 751, 26, 35, 32, 429, 816, 474, 225, 35, 87, 31, 41, 471, 330, 1808, 37, 36, 683, 203, 751, 81, 5410, 280, 9254, 4626, 30, 2266, 44, 2065, 32, 1036, 3736, 26, 1172, 28, 2356, 32, 751, 26, 8293, 29, 35, 87, 31, 41, 490, 429, 1833, 35, 22177, 1172, 4586, 2356, 32, 751, 26, 35, 22177, 8293, 29, 35, 87, 31, 41, 2610, 203, 589, 617, 94, 2051, 26, 611, 81, 2620, 30, 9586, 81, 35399, 30, 5018, 81, 2620, 30, 5018, 81, 35399, 711, 284, 7715, 81, 1479, 280, 5018, 81, 2620, 429, 5018, 81, 35399, 284, 7715, 81, 1902, 280, 225, 36, 319, 308, 611, 81, 2620, 429, 9586, 81, 35399, 27, 284, 298, 9359, 280, 225, 35, 32, 429, 1869, 32, 5136, 32, 15142, 36, 26, 6558, 81, 1479, 547, 21195, 26, 6558, 81, 1902, 27, 284, 442, 298, 9359, 203, 589, 617, 4698, 11455, 26, 106, 30, 533, 711, 284, 35369, 30, 736, 30, 4950, 617, 280, 2065, 32, 20973, 32, 9980, 5664, 1162, 106, 326, 36, 27, 6894, 2065, 32, 890, 5082, 79, 1717, 533, 31, 106, 30, 540, 1328, 47, 2521, 27, 284, 10051, 81, 2832, 280, 736, 77, 34, 79, 284, 10051, 81, 9026, 280, 308, 2356, 32, 869, 26, 107, 31, 106, 4586, 1657, 26, 106, 490, 284, 540, 36, 280, 225, 35, 429, 308, 422, 81, 2832, 517, 10051, 81, 9026, 27, 284, 442, 2065, 32, 955, 2009, 22039, 77, 34, 614, 225, 35, 30, 225, 34, 5727, 540, 36, 203, 589, 617, 4213, 81, 108, 266, 84, 81, 6158, 26, 6974, 30, 273, 47, 2521, 711, 284, 312, 30, 323, 280, 5239, 32, 3818, 37309, 35, 32, 34, 614, 9710, 1057, 1808, 37, 36, 1425, 5239, 32, 3818, 2009, 34, 32, 34, 614, 9710, 1057, 1808, 37, 36, 683, 284, 415, 273, 438, 1665, 44, 291, 273, 81, 751, 280, 5239, 32, 3818, 37309, 35, 34, 32269, 9710, 1057, 1808, 37, 36, 683, 291, 273, 280, 5239, 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, 4, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 7, 6, 9, 8, 9, 7, 4, 5, 0, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 4, 4, 3, 3, 4, 4, 9, 9, 9, 7, 7, 11, 10, 13, 12, 13, 11, 8, 9, 7, 0, 3, 2, 2, 3, 3, 3, 5, 5, 4, 4, 7, 7, 9, 8, 9, 8, 10, 8, 0, 3, 3, 2, 2, 3, 3, 3, 6, 7, 6, 8, 7, 7, 8, 8, 8, 8, 6, 4, 4, 6, 7, 6, 9, 9, 8, 8, 7, 7, 8, 8, 8, 8, 6, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 5, 6, 5, 9, 8, 9, 8, 10, 9, 9, 10, 10, 10, 10, 8, 6, 6, 8, 9, 8, 11, 11, 10, 10, 9, 9, 10, 10, 10, 10, 8, 5, 7, 7, 7, 7, 0, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 8, 10, 9, 12, 11, 12, 11, 13, 12, 13, 13, 13, 13, 11, 6, 6, 11, 11, 11, 9, 11, 10, 11, 10, 13, 13, 13, 11, 12, 12, 12, 12, 10, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 5, 5, 6, 6, 2, 2, 5, 5, 4, 4, 6, 5, 5, 8, 8, 8, 7, 7, 8, 8, 6, 2, 2, 5, 4, 4, 6, 6, 5, 5, 10, 11, 9, 10, 10, 9, 10, 10, 10, 9, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 10, 9, 10, 8, 7, 7, 8, 9, 9, 7, 6, 6, 7, 8, 6, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 5, 6, 5, 2, 2, 5, 5, 4, 4, 9, 8, 9, 8, 10, 9, 10, 8, 8, 8, 9, 8, 2, 2, 5, 4, 4, 6, 5, 5, 8, 8, 8, 7, 7, 8, 8, 6, 2, 2, 3, 6, 7, 6, 9, 8, 9, 8, 7, 8, 7, 7, 8, 7, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 5, 5, 4, 4, 7, 8, 7, 10, 10, 10, 8, 7, 8, 10, 10, 10, 10, 5, 7, 8, 7, 9, 9, 9, 8, 7, 8, 10, 10, 10, 10, 2, 2, 3, 4, 4, 3, 3, 3, 7, 7, 6, 6, 8, 9, 8, 11, 11, 11, 8, 9, 11, 11, 11, 11, 4, 4, 6, 6, 8 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 1, 0, 4, 4, 1, 1, 0, 5, 5, 1, 1, 0, 6, 6, 1, 1, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 3, 3, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 14, 14, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 14, 14, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 0, 15, 15, 1, 1, 2, 1, 2, 2, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 4, 2, 2, 1, 1, 1, 3, 2, 1, 1, 0, 5, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 5, 1, 1, 2, 0, 16, 16, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 16, 16, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 3, 3, 0, 0, 0 ]
[ 465, 22045, 203, 465, 2361, 203, 465, 1133, 203, 465, 22384, 203, 465, 11412, 203, 465, 6436, 619, 2065, 203, 465, 281, 14686, 274, 203, 465, 2322, 203, 465, 36116, 203, 823, 1312, 12795, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 426, 711, 291, 1459, 2706, 102, 4332, 8593, 904, 101, 15860, 426, 291, 630, 32, 426, 280, 636, 291, 630, 32, 4446, 280, 1605, 291, 630, 32, 1172, 280, 1665, 284, 665, 1015, 81, 928, 26, 784, 30, 928, 711, 291, 630, 32, 4446, 32, 1689, 26, 928, 27, 284, 665, 11361, 26, 784, 30, 95, 30, 5992, 711, 291, 1459, 2706, 102, 11333, 299, 904, 101, 15860, 784, 32, 426, 291, 630, 32, 605, 280, 34873, 2524, 26, 784, 32, 4446, 27, 291, 1459, 2706, 102, 78, 102, 48237, 5359, 20, 291, 630, 32, 3274, 280, 22384, 32, 2518, 81, 5905, 26, 784, 32, 605, 30, 95, 30, 5992, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 32, 426, 474, 2706, 96, 20, 474, 630, 32, 605, 203, 823, 676, 20657, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 426, 30, 1848, 352, 81, 314, 30, 95, 30, 5992, 711, 291, 1459, 313, 4332, 8593, 904, 101, 623, 804, 904, 101, 15860, 26, 426, 30, 1848, 352, 81, 314, 27, 291, 630, 32, 426, 280, 636, 291, 630, 32, 314, 280, 48296, 81, 314, 291, 630, 32, 510, 40991, 280, 1605, 291, 630, 32, 1172, 280, 1665, 291, 630, 32, 95, 280, 345, 291, 630, 32, 5992, 280, 11823, 284, 665, 1015, 81, 928, 26, 784, 30, 928, 711, 291, 415, 313, 5844, 328, 1628, 44, 324, 415, 2069, 26, 784, 32, 510, 40991, 711, 400, 630, 32, 510, 40991, 6448, 35, 997, 11333, 26, 784, 32, 95, 30, 784, 32, 5992, 27, 324, 630, 32, 510, 40991, 32, 1689, 26, 35025, 26, 928, 490, 291, 813, 44, 324, 630, 32, 510, 40991, 6448, 35, 997, 669, 81, 928, 26, 928, 27, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 2069, 26, 784, 32, 510, 40991, 27, 284, 665, 1156, 33644, 3207, 784, 30, 91, 711, 291, 442, 630, 32, 510, 40991, 77, 91, 79, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 32, 426, 203, 823, 45294, 33284, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 93, 30, 95, 30, 31692, 81, 761, 30, 823, 81, 761, 711, 291, 630, 32, 93, 280, 831, 291, 630, 32, 95, 280, 345, 291, 630, 32, 31692, 81, 761, 280, 8117, 83, 81, 761, 291, 630, 32, 823, 81, 761, 280, 443, 81, 761, 291, 4774, 280, 428, 324, 313, 23455, 429, 104, 28476, 81, 904, 101, 20, 904, 630, 32, 31692, 81, 761, 30, 324, 313, 23455, 429, 104, 330, 6457, 392, 324, 313, 359, 3228, 96, 25, 13838, 7362, 291, 1481, 291, 816, 280, 2322, 32, 98, 1676, 463, 523, 5608, 2524, 26, 3515, 3427, 1978, 346, 291, 630, 32, 5992, 280, 22384, 32, 599, 81, 464, 81, 16885, 483, 81, 266, 81, 800, 26, 784, 32, 93, 30, 106, 27, 291, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 5, 4, 5, 4, 3, 3, 5, 9, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 5, 4, 5, 4, 3, 3, 5, 9, 8, 8, 8, 8, 8, 8, 7, 8, 4, 4, 7, 8, 6, 6, 9, 8, 10, 9, 10, 8, 4, 4, 5, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 9, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 7, 10, 9, 6, 6, 7, 8, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 5, 8, 6, 6, 5, 5, 5, 7, 9, 11, 10, 11, 11, 9, 7, 7, 13, 14, 14, 12, 14, 12, 12, 11, 13, 12, 13, 11, 13, 12, 13, 11, 6, 6, 10, 11, 11, 9, 10, 9, 11, 11, 12, 11, 5, 5, 6, 6, 6, 12, 13, 13, 11, 13, 11, 11, 11, 11, 10, 11, 10, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 5, 4, 3, 3, 5, 7, 8, 8, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 10, 9, 9, 9, 7, 7, 4, 4, 6, 6, 10, 11, 11, 10, 14, 14, 13, 12, 13, 12, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 9, 8, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 0, 6, 6, 0, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 2, 9, 9, 0, 1, 1, 1, 2, 3, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 3, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 2, 1, 2, 3, 2, 5, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 3, 1, 5, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 10, 10, 1, 2, 10, 10, 0, 1, 1, 1, 2, 3, 2, 5, 5, 5, 5, 2, 7, 2, 9, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 3, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 3, 2, 1, 3, 3, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 4, 4, 3, 1, 1, 1, 2, 3, 2, 3, 3, 0, 0, 2, 2, 1, 2, 1, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 11, 11, 1, 2, 11, 11, 0, 1, 1, 1, 2, 3, 2, 5, 2, 7, 7, 7, 2, 9, 9, 9, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 3, 1, 4, 4 ]
[ 465, 6436, 203, 465, 5741, 203, 1070, 13671, 1867, 32, 16780, 1188, 2163, 3767, 81, 1071, 203, 4073, 280, 5741, 32, 10579, 440, 4882, 32, 858, 81, 1521, 3767, 81, 1071, 657, 203, 589, 894, 81, 36, 86, 2262, 284, 310, 47, 38, 284, 345, 47, 39, 284, 312, 280, 6436, 32, 16251, 26, 35, 30, 96, 28, 95, 29, 35, 547, 12091, 26, 96, 30, 95, 27, 284, 4082, 32, 2811, 440, 7318, 706, 3491, 96, 40637, 1643, 26, 83, 490, 284, 8549, 280, 312, 32, 1094, 891, 284, 420, 30, 105, 280, 312, 32, 3229, 284, 42574, 30, 17455, 280, 225, 36, 30, 36, 284, 6024, 280, 308, 90, 33, 18681, 30, 341, 33, 17455, 30, 42574, 30, 28718, 27, 284, 4082, 32, 2811, 440, 3229, 19189, 2296, 1643, 26, 3229, 490, 284, 32694, 280, 8549, 28, 10337, 32, 955, 2009, 105, 28, 18681, 30, 17455, 30, 105, 30, 35, 1130, 284, 4082, 32, 2811, 440, 42383, 19189, 2296, 1643, 26, 42383, 490, 284, 9058, 47, 10337, 32, 1356, 32, 13176, 81, 359, 6758, 32, 302, 81, 2758, 981, 26, 83, 30, 6024, 47, 3229, 30, 32694, 47, 42383, 27, 284, 4082, 32, 2811, 440, 3576, 9058, 3491, 96, 40637, 1643, 26, 8587, 490, 284, 2202, 280, 2163, 3767, 81, 1071, 26, 83, 30, 308, 18681, 30, 17455, 471, 3177, 27, 284, 4082, 32, 2811, 440, 1521, 3767, 81, 1071, 3491, 96, 40637, 1643, 26, 1071, 490, 284, 1201, 2202, 32, 3229, 610, 9058, 32, 3229, 284, 1201, 308, 1071, 610, 9058, 547, 464, 346, 284, 2202, 31445, 280, 225, 34, 284, 4082, 32, 2811, 440, 10454, 706, 3491, 96, 40637, 1643, 26, 83, 490, 284, 1201, 308, 83, 77, 34, 44, 38, 30, 225, 34, 44, 38, 79, 610, 225, 34, 547, 464, 1026, 313, 1521, 3767, 81, 1071, 4717, 312, 1933, 30, 646, 312, 2202, 11555, 203, 589, 894, 81, 37, 86, 2262, 284, 3218, 81, 605, 280, 6436, 32, 3855, 32, 3855, 26, 308, 40, 30, 225, 43, 30, 225, 35, 40, 27, 829, 284, 2163, 3229, 280, 308, 36, 30, 37, 30, 38, 27, 284, 1158, 81, 3229, 280, 8825, 26, 10337, 32, 955, 26, 3831, 81, 605, 32, 3229, 27, 517, 2163, 3229, 27, 474, 2163, 3229, 284, 1201, 1158, 81, 3229, 610, 308, 37, 30, 37, 30, 38, 30, 36, 30, 37, 30, 38, 471, 1158, 81, 3229, 284, 2163, 3767, 81, 2991, 280, 6436, 32, 9880, 26, 1158, 81, 3229, 829, 284, 2163, 81, 15097, 280, 1158, 81, 3229, 77, 34, 44, 37, 79, 284, 436, 816, 328, 2155, 26, 1521, 81, 15097, 77, 34, 10794, 291, 436, 533, 328, 2155, 26, 1521, 81, 15097, 77, 35, 10794, 324, 436, 1288, 328, 2155, 26, 1521, 81, 15097, 77, 36, 10794, 400, 2163, 81, 1366, 280, 6436, 32, 955, 1162, 106, 30, 107, 30, 108, 490, 319, 2163, 3229, 400, 2163, 81, 4048, 280, 2163, 81, 1366, 474, 2163, 3229, 400, 2163, 3767, 81, 2991, 77, 106, 30, 107, 30, 108, 79, 280, 3218, 81, 605, 77, 2163, 81, 1366, 77, 34, 79, 499 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 1, 1, 4, 5, 2, 2, 4, 5, 2, 2, 4, 4, 8, 9, 8, 9, 8, 11, 10, 11, 9, 10, 8, 7, 6, 7, 6, 7, 6, 2, 2, 5, 6, 5, 9, 9, 9, 10, 9, 8, 7, 8, 7, 2, 2, 4, 4, 5, 6, 6, 2, 2, 5, 6, 4, 4, 5, 6, 2, 2, 5, 6, 4, 4, 6, 5, 6, 2, 2, 4, 4, 7, 6, 7, 5, 5, 6, 7, 5, 5, 5, 5, 5, 2, 2, 5, 6, 5, 9, 9, 9, 8, 7, 8, 7, 2, 2, 4, 4, 5, 8, 7, 8, 7, 10, 9, 10, 8, 9, 8, 9, 8, 9, 8, 2, 2, 5, 6, 5, 9, 9, 9, 8, 7, 8, 7, 2, 2, 4, 9, 8, 9, 7, 8, 8, 8, 8, 6, 7, 7, 7, 7, 6, 7, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 6, 5, 9, 9, 9, 10, 9, 8, 7, 8, 7, 2, 2, 4, 4, 6, 6, 6, 6, 7, 6, 6, 8, 7, 8, 7, 6, 6, 2, 2, 5, 6, 5, 9, 9, 9, 9, 9, 10, 9, 8, 7, 8, 7, 2, 2, 3, 5, 6, 4, 4, 5, 6, 2, 2, 3, 8, 7, 7, 6, 6, 5, 2, 2, 5, 4, 4, 5, 2, 2, 5, 6, 5, 9, 9, 9, 10, 9, 8, 7, 8, 7, 2, 2, 3, 9, 8, 10, 9, 10, 8, 8, 10, 9, 10, 8, 7, 7, 8, 6, 6, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 6, 8, 7, 7, 8, 7, 7, 8, 8, 7, 6, 2, 2, 5, 4, 4, 6, 5, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 11, 10, 11, 10, 12, 12, 12, 11, 12, 10, 8, 8, 9, 7, 5, 5, 6, 2, 2, 3, 5, 5, 4, 4, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 3, 4, 4, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 5, 7, 6, 7, 5, 2, 2, 3, 3, 3, 5, 7, 7, 7, 6, 7, 6, 3, 3, 5, 5, 5, 7, 9, 9, 9, 8, 9, 8, 5, 5, 7, 7, 7, 9, 11, 11, 11, 10, 11, 10, 7, 7, 11, 11, 10, 10, 13, 14, 13, 15, 14, 15, 14, 15, 14, 11, 11, 12, 8, 8, 11, 11, 10, 10, 12, 12, 11, 11, 12, 8, 8, 12, 12, 12, 11, 12, 11, 12, 11, 12, 11, 10, 10, 12, 12, 11, 11, 14, 14, 13, 14, 13, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 2, 4, 4, 0, 2, 4, 4, 0, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 3, 2, 1, 2, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 3, 1, 5, 1, 7, 1, 4, 4, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 4, 4, 15, 0, 2, 1, 1, 2, 2, 4, 4, 16, 0, 1, 1, 0, 2, 1, 4, 4, 0, 0, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 4, 4, 19, 0, 0, 0, 2, 2, 0, 0, 0, 4, 2, 0, 1, 1, 2, 0, 2, 1, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 4, 4, 0, 0, 0, 1, 2, 3, 2, 5, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 3, 0, 0, 1, 1, 1, 2, 3, 2, 5, 2, 7, 2, 9, 2, 11, 2, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 6, 6, 6, 1, 0, 0, 0, 1, 2, 1, 6, 6, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 5, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2 ]
[ 465, 16951, 203, 465, 25679, 203, 465, 5237, 203, 465, 15798, 203, 1070, 894, 1188, 2193, 203, 823, 2108, 936, 4290, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 5237, 32, 470, 3959, 26, 2521, 27, 284, 665, 28921, 26, 784, 711, 291, 5237, 32, 470, 3959, 26, 2521, 27, 284, 665, 894, 81, 2951, 26, 784, 711, 291, 630, 32, 25839, 2521, 26, 3731, 32, 371, 3959, 1157, 284, 665, 894, 81, 470, 371, 26, 784, 711, 291, 665, 2771, 2740, 1132, 711, 324, 3097, 291, 5237, 32, 470, 3959, 26, 3359, 27, 291, 630, 32, 25839, 26, 3731, 32, 371, 3959, 1026, 2771, 27, 203, 823, 36337, 18748, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 9433, 280, 1605, 291, 630, 32, 5057, 280, 1605, 284, 665, 3309, 26, 784, 30, 3118, 30, 1692, 30, 1638, 711, 291, 415, 308, 1567, 610, 313, 1851, 20, 324, 556, 1692, 610, 313, 601, 20, 324, 556, 1692, 610, 313, 3893, 10280, 324, 630, 32, 669, 81, 1567, 26, 1567, 30, 3118, 27, 284, 665, 1015, 81, 1567, 26, 784, 30, 1692, 30, 3118, 47, 2521, 711, 291, 415, 3118, 438, 1665, 44, 324, 3118, 280, 5237, 1114, 371, 1744, 26, 35, 27, 291, 1596, 44, 324, 43923, 7888, 280, 630, 32, 9433, 32, 1055, 26, 1744, 27, 291, 2940, 10091, 44, 324, 43923, 7888, 280, 2069, 26, 784, 32, 9433, 27, 324, 630, 32, 9433, 32, 1689, 26, 1744, 27, 291, 630, 32, 5057, 32, 1689, 1162, 43579, 7888, 30, 1692, 30, 5204, 26, 1744, 2610, 284, 665, 622, 81, 5057, 26, 784, 711, 291, 1214, 11327, 280, 428, 4840, 26, 784, 32, 669, 81, 1567, 3667, 1298, 36762, 5204, 26, 4840, 2177, 291, 630, 32, 9433, 280, 1665, 291, 442, 428, 1094, 436, 1623, 328, 630, 32, 5057, 415, 1623, 77, 36, 79, 646, 328, 1214, 11327, 79, 203, 823, 12831, 26097, 26, 9824, 18748, 711, 284, 665, 1156, 1664, 3207, 784, 30, 894, 1732, 711, 291, 630, 32, 36301, 280, 894, 1732, 291, 630, 32, 3034, 280, 1605, 291, 36337, 18748, 3667, 1664, 3207, 784, 27, 284, 665, 3309, 26, 784, 30, 3118, 30, 1692, 30, 1638, 711, 291, 630, 32, 7147, 77, 1567, 729, 784, 30, 3118, 27, 284, 665, 8244, 81, 1851, 26, 784, 30, 3118, 711, 291, 630, 32, 669, 81, 1567, 463, 1851, 370, 3118, 27, 291, 630, 32, 3034, 32, 1689, 26, 1744, 27, 284, 665, 8244, 81, 601, 26, 784, 30, 3118, 711, 291, 630, 32, 669, 81, 1567, 463, 601, 370, 3118, 27, 291, 630, 32, 3034, 32, 3235, 346, 284, 665, 8244, 81, 3893, 26, 784, 30, 3118, 711, 291, 630, 32, 36301, 32, 5066, 26, 324, 313, 1382, 43876, 1395, 7152, 7768, 3756, 5216, 657, 284, 665, 8244, 81, 4617, 26, 784, 30, 3118, 711, 291, 3097, 284, 7520, 280, 301, 291, 330, 1851, 950, 8244, 81, 1851, 30, 291, 330, 3893, 950, 8244, 81, 3893, 30, 291, 330, 601, 950, 8244, 81, 601, 30, 291, 330, 85, 81, 1851, 950, 8244, 81, 4617 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 10, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 6, 5, 5, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 9, 7, 7, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 10, 9, 9, 11, 11, 8, 8, 8, 9, 9, 11, 11, 7, 7, 7, 8, 8, 10, 10, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 10, 4, 4, 5, 5, 5, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 5, 5, 6, 6, 6, 6, 10, 9, 9, 11, 13, 12, 13, 11, 7, 7, 11, 12, 10, 11, 10, 11, 10, 4, 4, 8, 9, 7, 8, 7, 9, 9, 8, 8, 8, 8, 10, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 9, 12, 11, 12, 12, 12, 10, 11, 11, 7, 9, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 5, 7, 6, 7, 7, 7, 8, 9, 6, 7, 9, 10, 9, 8, 8, 8, 9, 6, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 7, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 7, 7, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 2, 2, 4, 4, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 2, 0, 0, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 6, 6, 1, 6, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 2, 1, 1, 2, 2, 2, 3, 2, 1, 3, 0, 2, 0, 1, 1, 1, 2, 1, 0, 7, 7, 1, 2, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 1, 1, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2 ]
[ 1070, 35094, 1188, 7360, 203, 465, 19493, 203, 465, 5237, 203, 1270, 44, 284, 1188, 1692, 730, 203, 7343, 29986, 44, 284, 3636, 26405, 440, 4282, 1849, 1692, 730, 6713, 372, 793, 458, 10366, 7144, 203, 325, 1692, 730, 32, 1648, 81, 1338, 333, 308, 34, 30, 225, 43, 30, 225, 41, 711, 284, 3636, 26405, 440, 4282, 1849, 1692, 730, 2377, 225, 34, 32, 43, 32, 41, 657, 203, 1070, 1692, 730, 1188, 20089, 101, 30, 48774, 304, 47981, 203, 1070, 1692, 730, 32, 6555, 716, 1188, 25567, 5264, 203, 1070, 1692, 730, 32, 48040, 1188, 554, 757, 29391, 203, 465, 9733, 730, 203, 1070, 485, 28607, 6112, 32, 525, 32, 46674, 1188, 3240, 761, 619, 337, 81, 2714, 761, 203, 1070, 485, 28607, 6112, 32, 17733, 32, 4396, 1188, 10726, 8068, 203, 589, 617, 1567, 730, 81, 2714, 761, 26, 2995, 541, 30, 9899, 266, 30, 3401, 30, 310, 3651, 711, 284, 2218, 2933, 44, 291, 1596, 44, 324, 442, 337, 81, 2714, 761, 26, 2995, 541, 30, 9899, 266, 30, 3401, 30, 310, 3651, 27, 291, 2940, 546, 21887, 619, 484, 44, 324, 415, 484, 32, 1132, 77, 34, 79, 610, 19493, 32, 55, 1614, 7401, 44, 400, 554, 757, 29391, 26, 2995, 541, 30, 2866, 47, 1815, 27, 324, 813, 44, 400, 3636, 203, 589, 617, 1567, 730, 81, 6455, 26, 9184, 30, 2887, 30, 35785, 711, 284, 6929, 280, 1692, 730, 32, 6555, 5178, 32, 14863, 4198, 26, 32648, 27, 284, 2145, 81, 1837, 280, 1692, 730, 32, 4992, 304, 47981, 32, 371, 1700, 346, 284, 2218, 2933, 44, 291, 1596, 44, 324, 4567, 30, 8705, 280, 13363, 32, 7494, 346, 324, 15974, 280, 6929, 32, 15697, 26, 2956, 30, 4567, 30, 8705, 27, 324, 15974, 32, 1204, 2176, 1567, 730, 81, 4048, 30, 2145, 81, 1837, 30, 4567, 27, 324, 4567, 30, 8705, 30, 15974, 280, 1665, 30, 1665, 30, 1665, 291, 2940, 1692, 730, 32, 6495, 25586, 44, 324, 13363, 32, 2679, 346, 324, 6929, 32, 1684, 464, 346, 324, 442, 203, 589, 617, 1567, 730, 81, 4048, 26, 1580, 30, 2145, 30, 4567, 711, 284, 1596, 44, 291, 1596, 44, 324, 2043, 32, 1684, 346, 291, 8295, 44, 324, 4567, 32, 2679, 346, 284, 2940, 9733, 730, 32, 14863, 730, 8112, 44, 291, 3097, 284, 2940, 3268, 44, 291, 48774, 304, 47981, 32, 14046, 26, 1786, 30, 319, 3731, 32, 14806, 81, 1338, 1157, 203, 589, 7841, 81, 2714, 761, 2262, 284, 645, 485, 28607, 6112, 32, 525, 1188, 341, 25673, 284, 415, 337, 81, 2714, 761, 438, 646, 1665, 44, 291, 39506, 26, 46674, 30, 313, 2714, 761, 392, 617, 1567, 730, 81, 2714, 761, 27, 203, 823, 3903, 730, 8068, 26, 2981, 8068, 711, 284, 665, 7841, 26, 784, 711, 291, 20089, 101, 32, 539, 81, 8494, 346, 291, 1692, 730, 32, 38618, 81, 2675, 26, 500, 47, 2700, 27, 291, 7841, 81, 2714, 761, 346, 284, 665, 3219, 81, 2416, 26, 784, 711, 291, 630, 32, 2675, 346, 291, 2599, 26, 1151, 730, 8068, 30, 630, 547, 1664, 81, 2416, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 3, 4, 3, 1, 1, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 3, 5, 5, 5, 7, 9, 9, 9, 9, 10, 10, 9, 9, 10, 9, 9, 9, 9, 10, 9, 5, 5, 6, 8, 7, 7, 6, 6, 6, 8, 11, 12, 10, 11, 10, 9, 9, 10, 11, 11, 11, 8, 8, 8, 12, 12, 12, 13, 13, 12, 12, 13, 14, 12, 8, 8, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 8, 7, 8, 8, 6, 7, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 8, 7, 8, 8, 8, 6, 7, 7, 6, 2, 2, 3, 3, 3, 3, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 10, 10, 10, 10, 6, 6, 9, 10, 9, 10, 10, 10, 10, 9, 9, 10, 10, 9, 9, 9, 6, 6, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 5, 5, 6, 8, 7, 8, 8, 6, 6, 6, 10, 11, 10, 7, 7, 10, 11, 11, 10, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 5, 5, 5, 9, 10, 9, 5, 5, 6, 6, 6, 10, 11, 10, 3, 3, 4, 6, 5, 6, 6, 6, 4, 4, 4, 3, 3, 4, 4, 4, 4, 9, 9, 8, 9, 8, 9, 8, 8, 12, 11, 12, 12, 12, 11, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 5, 5, 4, 5, 3, 3, 5, 2, 2, 3, 5, 5, 5, 4, 4, 4, 3, 3, 3, 7, 8, 7, 7, 9, 9, 9, 7, 8, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 2, 6, 6, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 0, 9, 9, 0, 0, 1, 2, 1, 4, 9, 9, 0, 3, 3, 2, 2, 2, 0, 10, 10, 0, 0, 1, 2, 1, 4, 10, 10, 0, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 2, 7, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 7, 1, 0, 0, 3, 0, 1, 1, 3, 3, 3, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 4, 4, 4, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 12, 12, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 3, 0, 1, 2, 2, 3, 3, 3, 0, 2, 1, 3, 3, 0, 2, 2, 1, 3, 3, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 13, 13, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 3, 3, 3, 0, 2, 1, 0, 0, 3, 0, 1, 2, 2, 2, 3, 3, 3, 0, 0, 4, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 14, 14, 1, 1, 1, 2, 14, 14, 0, 0, 0, 1, 2, 0, 0, 0, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 5, 5, 5, 1, 0, 15, 15, 1, 1, 2, 1, 1, 2, 15, 15, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5237, 203, 465, 3363, 203, 465, 19291, 520, 84, 81, 7101, 619, 19291, 520, 84, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 316, 203, 465, 787, 1909, 203, 465, 1344, 4071, 203, 1070, 9270, 32, 3938, 32, 9664, 81, 4365, 36, 1188, 5692, 4327, 3489, 203, 1070, 5034, 1188, 10191, 81, 47404, 619, 23582, 203, 325, 5237, 32, 5134, 610, 330, 4463, 37, 36, 950, 334, 1188, 345, 15762, 2051, 261, 203, 2796, 81, 4365, 36, 280, 19291, 520, 84, 32, 2796, 81, 4365, 36, 203, 10095, 520, 84, 81, 4365, 36, 280, 19291, 520, 84, 32, 10095, 520, 84, 81, 4365, 36, 203, 589, 2575, 2262, 334, 415, 5237, 32, 5134, 610, 330, 4463, 37, 36, 950, 284, 345, 15762, 2051, 32, 470, 2816, 26, 3731, 32, 21633, 32, 5039, 7888, 1026, 2322, 32, 65, 81, 17905, 27, 284, 345, 15762, 2051, 32, 470, 2816, 26, 3731, 32, 9362, 32, 5039, 7888, 1026, 2322, 32, 65, 81, 17905, 27, 334, 706, 280, 3363, 32, 1676, 26, 3731, 32, 21633, 32, 5039, 7888, 1026, 330, 4506, 1814, 850, 346, 334, 1326, 280, 3973, 81, 4365, 36, 32, 1227, 4815, 1104, 32, 17725, 26, 605, 27, 334, 793, 81, 12800, 81, 658, 1028, 26, 1357, 27, 334, 793, 81, 3651, 81, 979, 81, 8352, 26, 1357, 27, 334, 793, 81, 13770, 26, 1357, 27, 334, 2075, 280, 19291, 520, 84, 81, 2208, 81, 2184, 26, 1357, 27, 334, 8436, 81, 2536, 280, 19291, 520, 84, 81, 2208, 81, 2536, 26, 1357, 30, 2075, 27, 334, 3276, 280, 19291, 520, 84, 81, 5536, 26, 1357, 30, 2075, 30, 8436, 81, 2536, 27, 334, 10191, 81, 47404, 280, 1487, 81, 15917, 81, 47404, 26, 12881, 81, 2536, 27, 334, 1789, 280, 19291, 520, 84, 81, 1821, 26, 4295, 30, 10191, 81, 47404, 27, 334, 3363, 32, 1676, 26, 3731, 32, 9362, 32, 5039, 7888, 1026, 330, 12108, 1814, 1821, 26, 1986, 32, 9506, 4590, 1157, 203, 589, 793, 81, 13770, 26, 1357, 711, 334, 7094, 81, 2516, 280, 428, 284, 5692, 4327, 3489, 32, 2319, 81, 5203, 30, 284, 5692, 4327, 3489, 32, 2319, 81, 19155, 30, 334, 1481, 334, 436, 4950, 1474, 81, 681, 328, 20139, 81, 6286, 26, 1357, 711, 284, 436, 1600, 328, 1474, 81, 681, 32, 1495, 44, 397, 7094, 81, 681, 280, 1600, 32, 681, 328, 7094, 81, 2516, 397, 16834, 280, 1600, 32, 1172, 610, 5692, 4327, 3489, 32, 11379, 81, 613, 1304, 8149, 397, 415, 7094, 81, 681, 556, 16834, 44, 291, 1447, 280, 1600, 32, 2184, 32, 7454, 77, 10095, 520, 84, 81, 4365, 36, 32, 10095, 520, 84, 79, 291, 1447, 32, 681, 280, 19291, 520, 84, 81, 4365, 36, 32, 4880, 81, 21569, 203, 589, 793, 81, 12800, 81, 658, 1028, 26, 1357, 711, 334, 436, 4950, 1474, 81, 681, 328, 20139, 81, 6286, 26, 1357, 711, 284, 415, 2069, 26, 1436, 81, 681, 32, 658, 1028, 81, 4214, 27, 610, 225, 35, 44, 397, 1447, 280, 1474, 81, 681, 32, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 4, 2, 2, 4, 4, 4, 4, 1, 1, 3, 5, 5, 0, 0, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 1, 1, 3, 5, 6, 4, 4, 6, 6, 6, 6, 3, 3, 8, 8, 7, 8, 8, 7, 11, 10, 11, 9, 10, 10, 9, 7, 8, 9, 9, 9, 7, 4, 4, 8, 8, 7, 8, 8, 7, 11, 10, 11, 9, 10, 10, 9, 7, 8, 9, 9, 9, 7, 2, 2, 4, 4, 8, 9, 8, 12, 11, 12, 10, 11, 11, 10, 8, 10, 10, 7, 6, 2, 2, 4, 4, 8, 8, 8, 7, 8, 8, 8, 6, 7, 6, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 6, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 6, 5, 2, 2, 5, 5, 5, 6, 5, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 2, 2, 7, 8, 7, 11, 10, 11, 9, 10, 10, 9, 7, 9, 9, 6, 5, 8, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 2, 2, 3, 4, 5, 5, 3, 3, 5, 5, 5, 6, 5, 3, 3, 5, 5, 5, 7, 7, 6, 7, 5, 5, 5, 9, 9, 8, 8, 10, 11, 9, 9, 10, 10, 6, 6, 8, 8, 10, 11, 9, 9, 11, 11, 10, 11, 11, 11, 11, 11, 6, 6, 7, 9, 9, 8, 8, 7, 7, 7, 10, 10, 13, 14, 12, 13, 11, 13, 13, 13, 13, 13, 13, 12, 13, 13, 13, 11, 8, 8, 11, 12, 10, 10, 12, 12, 12, 12, 12, 11, 12, 12, 12, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 5, 3, 3, 5, 5, 5, 6, 5, 3, 3, 5, 8, 10, 10, 10, 9, 10, 10, 10, 10, 8, 6, 6, 7, 5, 5, 5, 8, 8, 12, 12, 11, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 1, 1, 2, 2, 0, 4, 4, 0, 5, 5, 1, 2, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 0, 0, 9, 9, 1, 2, 1, 4, 4, 4, 4, 9, 9, 0, 0, 0, 10, 10, 10, 10, 0, 0, 3, 3, 0, 11, 11, 0, 2, 1, 1, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 14, 14, 2, 14, 14, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 3, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 3, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 16, 16, 1, 1, 1, 1, 1, 2, 1, 2, 16, 16, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
[ 465, 2322, 203, 1070, 2919, 2208, 1188, 3659, 2825, 203, 10843, 81, 3539, 280, 313, 2207, 10138, 32, 3766, 20, 203, 589, 4450, 81, 1274, 26, 88, 30, 827, 81, 426, 30, 636, 30, 1992, 711, 284, 296, 32, 1821, 440, 4318, 660, 301, 34, 111, 301, 35, 111, 1178, 280, 3335, 2296, 1643, 26, 681, 81, 426, 30, 636, 490, 284, 436, 595, 328, 2155, 26, 34, 30, 225, 36, 39, 40, 711, 291, 415, 595, 904, 225, 36, 610, 225, 34, 44, 324, 296, 32, 1821, 5528, 96, 225, 7788, 291, 296, 32, 1821, 15062, 34, 111, 10721, 35, 835, 4939, 1643, 26, 681, 81, 426, 30, 1992, 32, 371, 26, 9918, 26, 91, 471, 313, 8606, 14036, 284, 296, 32, 1821, 5528, 96, 1255, 78, 96, 78, 96, 657, 203, 589, 4450, 81, 6081, 81, 1274, 26, 88, 30, 636, 30, 2078, 711, 284, 2078, 280, 1149, 26, 2810, 27, 284, 1628, 280, 4247, 284, 436, 595, 30, 354, 328, 10703, 26, 2810, 711, 291, 415, 595, 610, 225, 34, 44, 324, 296, 32, 1821, 440, 4318, 660, 1351, 301, 34, 111, 8653, 35, 111, 1674, 109, 36, 10589, 280, 3335, 78, 96, 2296, 1643, 26, 400, 636, 30, 2069, 26, 2810, 471, 2069, 26, 104, 2610, 291, 2698, 280, 17610, 109, 34, 18237, 4939, 1643, 10788, 4939, 2524, 440, 15907, 34, 8129, 2296, 1643, 26, 106, 27, 436, 816, 328, 354, 490, 291, 415, 2069, 26, 928, 27, 474, 2069, 26, 643, 27, 848, 225, 41, 43, 44, 324, 296, 32, 1821, 26, 928, 474, 2706, 96, 657, 324, 1628, 280, 4247, 291, 1628, 1454, 2698, 284, 415, 1628, 44, 291, 296, 32, 1821, 26, 928, 474, 2706, 96, 657, 284, 296, 32, 1821, 440, 1255, 78, 96, 78, 96, 657, 203, 589, 20515, 279, 81, 2810, 2262, 284, 442, 308, 7288, 15062, 34, 44, 34, 37, 97, 16054, 1643, 26, 106, 490, 436, 816, 328, 2155, 26, 39, 35, 36, 490, 203, 589, 9960, 81, 2810, 26, 7607, 711, 284, 4550, 280, 10698, 34, 44, 34, 36, 74, 3845, 415, 8342, 813, 10698, 34, 44, 34, 36, 106, 3845, 284, 442, 308, 7288, 26, 3972, 32, 1643, 26, 106, 490, 436, 816, 328, 2155, 26, 36, 39, 40, 490, 203, 589, 5298, 81, 2810, 2262, 284, 442, 308, 7288, 15062, 34, 44, 34, 42, 84, 16054, 1643, 26, 106, 490, 436, 816, 328, 2155, 26, 36, 39, 40, 490, 203, 589, 4450, 26, 88, 711, 284, 296, 32, 1821, 4120, 1017, 333, 8025, 631, 33, 2207, 1765, 32, 90, 5213, 96, 20, 324, 2706, 96, 20, 324, 313, 2011, 14801, 631, 6913, 96, 20, 324, 313, 2011, 9355, 6913, 96, 20, 324, 2706, 96, 657, 284, 4450, 81, 1274, 26, 291, 296, 30, 313, 2207, 1765, 403, 8427, 392, 313, 1643, 8427, 1599, 392, 291, 3447, 46, 563, 313, 10765, 392, 9120, 563, 313, 6513, 392, 29683, 44, 313, 21257, 81, 33177, 81, 9871, 392, 9044, 563, 313, 16582, 15119, 284, 4450, 81, 1274, 26, 291, 296, 30, 313, 2207, 1765, 403, 3388, 392, 313, 1643, 3388 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 8, 8, 7, 7, 7, 2, 2, 3, 3, 3, 5, 6, 5, 5, 6, 6, 6, 5, 3, 3, 5, 7, 7, 8, 6, 6, 7, 5, 5, 5, 9, 10, 9, 12, 11, 11, 4, 4, 7, 8, 7, 11, 11, 11, 11, 11, 11, 10, 9, 10, 10, 10, 9, 9, 11, 12, 11, 13, 13, 14, 13, 11, 13, 13, 2, 2, 5, 6, 5, 8, 7, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 3, 3, 5, 6, 6, 7, 5, 5, 5, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 11, 11, 11, 11, 13, 14, 13, 11, 13, 14, 13, 4, 4, 6, 6, 10, 10, 10, 10, 9, 8, 12, 11, 10, 14, 14, 14, 14, 13, 12, 13, 12, 10, 11, 11, 11, 10, 4, 4, 5, 9, 10, 9, 7, 7, 9, 10, 9, 6, 6, 7, 7, 5, 5, 5, 9, 10, 9, 11, 10, 10, 13, 12, 6, 6, 8, 8, 4, 4, 6, 6, 2, 2, 3, 3, 3, 3, 7, 8, 7, 9, 8, 8, 11, 10, 2, 2, 5, 6, 5, 7, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 6, 6, 10, 10, 10, 10, 10, 10, 9, 8, 9, 8, 4, 5, 5, 5, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 2, 2, 3, 6, 6, 9, 8, 9, 8, 9, 8, 4, 5, 5, 5, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 1, 1, 3, 6, 6, 10, 10, 10, 10, 10, 10, 9, 8, 9, 8, 4, 5, 5, 5, 7, 8, 8, 8, 7, 0, 1, 1, 2, 3, 2, 1, 1, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 6, 6, 9, 8, 6, 6, 8, 8, 8, 8, 9, 8, 6, 6, 8, 8, 8, 9, 8, 6, 6, 9, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 5, 9, 9, 7, 9, 9, 6, 9, 7, 9, 9, 6, 7, 7, 9, 9, 9, 9, 9, 9, 6, 9, 7, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 4, 4, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 5, 5, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 3, 3, 0, 0, 5, 5, 0, 0, 4, 4, 3, 3, 3, 3, 0, 2, 1, 0, 1, 1, 0, 2, 4, 4, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 5, 5, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 8, 8, 2, 1, 2, 8, 8, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 7, 2, 3, 1, 2, 7, 5, 5, 1, 1, 1, 1, 1, 2, 7, 2, 7, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1 ]
[ 465, 5741, 203, 465, 5237, 203, 465, 2322, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 31001, 370, 330, 2282, 2847, 203, 465, 4549, 203, 465, 9952, 356, 911, 81, 1040, 203, 81, 14401, 19930, 81, 2319, 280, 4549, 32, 1031, 24581, 463, 1367, 683, 203, 81, 34004, 81, 2319, 280, 4549, 32, 959, 24581, 463, 5138, 370, 284, 629, 81, 5843, 6020, 397, 330, 1516, 31, 331, 28705, 101, 370, 397, 330, 3651, 370, 397, 330, 2888, 31, 8239, 370, 284, 2505, 284, 1897, 81, 5843, 6020, 397, 330, 9539, 31, 7151, 370, 397, 330, 9539, 31, 658, 31, 7151, 370, 397, 330, 658, 31, 8540, 31, 7151, 370, 397, 330, 6158, 31, 8540, 31, 7151, 370, 284, 2505, 284, 802, 81, 5843, 6020, 397, 330, 23575, 31, 2649, 25, 284, 8834, 203, 81, 68, 6870, 758, 81, 34004, 81, 2319, 280, 4549, 32, 959, 24581, 463, 100, 725, 271, 31, 5138, 370, 284, 6717, 81, 890, 4446, 4310, 35, 30, 225, 35, 30, 225, 35, 471, 284, 802, 81, 5843, 11414, 426, 2188, 284, 5713, 6020, 397, 4549, 32, 2931, 620, 463, 1367, 370, 617, 14401, 19930, 81, 2319, 30, 3177, 471, 397, 4549, 32, 2931, 620, 463, 5138, 370, 617, 34004, 81, 2319, 30, 3177, 471, 284, 8834, 203, 81, 68, 6870, 758, 81, 34004, 81, 15630, 81, 2319, 280, 4549, 32, 959, 24581, 463, 100, 725, 271, 31, 5609, 31, 2516, 370, 284, 6717, 81, 890, 4446, 4310, 35, 30, 225, 35, 30, 225, 35, 471, 284, 21557, 81, 9378, 47, 1815, 30, 284, 5713, 6020, 397, 4549, 32, 2931, 620, 463, 2516, 370, 617, 68, 6870, 758, 81, 34004, 81, 2319, 30, 2933, 471, 284, 8834, 203, 81, 32026, 81, 2319, 280, 4549, 32, 1031, 24581, 463, 5632, 370, 3982, 81, 928, 47, 1815, 27, 203, 81, 68, 6870, 758, 81, 36951, 81, 2319, 280, 4549, 32, 959, 24581, 463, 100, 725, 271, 31, 7263, 370, 284, 6717, 81, 890, 4446, 4310, 35, 30, 225, 35, 30, 225, 35, 471, 284, 802, 81, 5843, 11414, 426, 370, 330, 681, 2188, 284, 5713, 6020, 397, 4549, 32, 2931, 620, 463, 36042, 370, 617, 32026, 81, 2319, 30, 2933, 471, 397, 4549, 32, 2931, 620, 463, 1367, 370, 617, 14401, 19930, 81, 2319, 30, 3177, 471, 284, 8834, 203, 81, 68, 6870, 758, 81, 23128, 14436, 81, 2319, 280, 4549, 32, 959, 24581, 463, 100, 725, 271, 31, 7982, 370, 284, 6717, 81, 890, 4446, 4310, 35, 30, 225, 35, 30, 225, 35, 471, 284, 21557, 81, 9378, 47, 1815, 30, 284, 5713, 6020, 397, 4549, 32, 2931, 620, 463, 7982, 370, 617, 68, 6870, 758, 81, 36951, 81, 2319, 30, 2933, 471, 284, 8834, 203, 81, 68, 6870, 758, 81, 35684, 81, 2319, 280, 4549, 32, 959, 24581, 463, 100, 725, 271, 31, 5983, 370, 284, 6717, 81, 890, 4446, 4310, 35, 30, 225, 35, 30, 225, 35, 471, 284, 21557, 81, 9378, 47, 1815, 30, 284, 5713, 6020, 397, 4549, 32, 2931, 620, 463 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 5, 7, 5, 7, 7, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 4, 4, 6, 6, 5, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 6, 6, 8, 8, 8, 8, 6, 6, 4, 4, 6, 6, 5, 6, 6, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 6, 6, 5, 6, 6, 8, 8, 8, 8, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 4, 4, 6, 6, 5, 8, 8, 4, 4, 5, 6, 6, 8, 9, 9, 8, 10, 10, 8, 9, 9, 9, 9, 8, 8, 8, 6, 6, 8, 9, 9, 8, 10, 10, 8, 9, 9, 9, 8, 8, 8, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 6, 8, 9, 9, 8, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 6, 6, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 4, 6, 6, 5, 6, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 4, 4, 6, 6, 5, 8, 8, 6, 8, 8, 4, 4, 5, 6, 6, 8, 9, 9, 8, 10, 10, 8, 9, 9, 9, 8, 8, 8, 6, 6, 8, 9, 9, 8, 10, 10, 8, 9, 9, 9, 9, 8, 8, 8, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 6, 8, 9, 9, 8, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 6, 8, 9, 9, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 7, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 5, 1, 2, 1, 1, 7, 2, 2, 0, 2, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 5, 2, 1, 1, 1, 7, 2, 2, 0, 2, 2, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 5, 1, 2, 2, 1, 2, 1, 1, 7, 2, 2, 0, 2, 2, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 5, 2, 1, 1, 1, 7, 2, 2, 0, 2, 2, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 5, 2, 1, 1, 1, 7, 2, 2, 0, 2, 2, 1 ]
[ 1070, 2322, 315, 32, 1163, 1188, 8444, 203, 1070, 34856, 32, 91, 35, 42, 96, 1188, 617, 203, 1070, 34856, 32, 26878, 32, 2282, 1188, 1245, 619, 5741, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 3408, 2304, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 44111, 405, 5832, 2304, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 3984, 2304, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 3984, 1040, 2269, 36, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 1519, 2304, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 540, 5974, 4466, 2304, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 540, 5974, 4466, 1040, 2269, 36, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 354, 7493, 2304, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 354, 7493, 1040, 2269, 36, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 8508, 2304, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 8508, 1040, 2269, 36, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 6864, 2304, 203, 1070, 34856, 32, 18321, 32, 7782, 104, 1188, 6864, 1040, 2269, 36, 203, 7782, 81, 6363, 280, 428, 284, 8444, 32, 5957, 5482, 463, 5538, 81, 7782, 104, 81, 2304, 81, 104, 35, 370, 400, 1244, 47, 2700, 30, 400, 3049, 1057, 10490, 676, 35, 624, 5891, 15471, 6015, 1425, 284, 8444, 32, 5957, 5482, 463, 5538, 81, 7236, 2304, 81, 104, 35, 370, 400, 1244, 47, 2700, 30, 400, 3049, 1057, 10490, 676, 35, 6864, 15471, 443, 1425, 203, 79, 203, 14594, 280, 8444, 32, 14594, 203, 14594, 32, 3317, 81, 6363, 26, 7782, 81, 6363, 30, 330, 7782, 104, 683, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 617, 371, 81, 823, 26, 104, 35, 81, 823, 30, 354, 36, 81, 823, 30, 7650, 81, 104, 35, 81, 4555, 711, 284, 415, 646, 7650, 81, 104, 35, 81, 4555, 461, 622, 81, 2035, 2304, 922, 1553, 81, 887, 81, 5910, 81, 1648, 26, 40, 30, 225, 36, 711, 291, 9011, 280, 354, 36, 81, 823, 284, 813, 44, 291, 9011, 280, 354, 35, 81, 823, 284, 5776, 32, 2811, 440, 7067, 443, 44, 18147, 1647, 81, 426, 27, 101, 15231, 26, 823, 81, 426, 27, 101, 392, 1090, 5053, 1647, 81, 426, 950, 9011, 3667, 1647, 7642, 330, 823, 81, 426, 950, 9011, 3667, 426, 505, 1748, 284, 442, 9011, 203, 589, 617, 371, 81, 18321, 81, 2304, 81, 823, 26, 104, 35, 81, 823, 30, 354, 36, 81, 823, 711, 284, 415, 308, 14594, 32, 7782, 104, 32, 5538, 81, 7782, 104, 81, 2304, 81, 104, 35, 461, 324, 622, 81, 2035, 2304, 922, 1553, 81, 887, 81, 5910, 81, 1648, 26, 40, 30, 225, 37, 8531, 291, 3636, 8508, 2304, 32, 20562, 72, 984, 26, 324, 30121, 1318, 313, 5538, 81, 7782, 104, 81, 2304, 81, 104, 35, 20, 2470, 4881, 526, 739, 372, 313, 1815, 20, 330, 1090, 330, 267, 4017, 4226, 517, 14802, 31, 72, 4226, 225, 36, 34, 35, 36, 559, 36, 556, 3684, 619 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 7, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 7, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 3, 3, 0, 3, 2, 2, 3, 4, 0, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 5, 5, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 5, 6, 6, 6, 6, 6, 4, 4, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 6, 7, 6, 3, 3, 6, 6, 7, 7, 7, 3, 3, 4, 4, 4, 7, 7, 8, 8, 8, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 9, 9, 9, 9, 7, 8, 9, 9, 6, 9, 9, 9, 9, 7, 8, 9, 9, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 1, 1, 3, 8, 7, 8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 3, 3, 5, 8, 7, 8, 8, 8, 7, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 3, 3, 0, 3, 3, 1, 2, 1, 4, 4, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 4, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 4, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 4, 8, 8, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 4, 9, 9, 0, 0, 0, 0, 0, 0, 10, 10, 1, 2, 1, 4, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 4, 11, 11, 0, 0, 0, 0, 0, 12, 12, 1, 2, 1, 4, 4, 12, 12, 0, 0, 13, 13, 1, 2, 1, 4, 4, 13, 13, 0, 0, 0, 0, 14, 14, 1, 2, 1, 4, 4, 14, 14, 0, 0, 15, 15, 1, 2, 1, 4, 4, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 20, 20, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 2, 20, 20, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 1, 1, 1, 2, 3, 2, 2, 2, 3, 4, 4, 2, 0, 21, 21, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 21, 21, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2361, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 17874, 19349, 203, 1070, 8527, 32, 36287, 1188, 5668, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 28497, 1188, 6207, 81, 3648, 203, 1070, 8527, 32, 12023, 32, 2393, 1188, 20641, 619, 3796, 81, 12646, 30, 6207, 203, 1070, 15332, 32, 11514, 32, 10772, 1188, 3772, 17223, 35, 30, 3772, 17223, 36, 203, 1070, 15332, 32, 11514, 32, 2175, 1188, 6597, 12167, 2681, 203, 1070, 15332, 32, 11514, 32, 2304, 1188, 2454, 81, 11514, 203, 1070, 15332, 32, 7491, 32, 11025, 81, 725, 32, 2304, 1188, 298, 2496, 203, 1070, 2280, 32, 725, 32, 28497, 1188, 2908, 81, 452, 203, 589, 20641, 26, 1357, 711, 284, 3796, 81, 12646, 26, 1357, 27, 284, 442, 5668, 24667, 203, 589, 1619, 14605, 7615, 711, 284, 442, 5436, 1371, 291, 330, 5431, 81, 314, 950, 18623, 26, 3550, 30, 330, 3629, 13101, 81, 9036, 81, 32327, 81, 24666, 81, 3307, 370, 1665, 471, 291, 330, 5431, 81, 3473, 950, 330, 5608, 2524, 26, 7732, 12167, 2681, 32, 5807, 81, 15104, 471, 291, 330, 7230, 81, 11514, 950, 2454, 81, 11514, 26, 3550, 32, 40060, 9590, 81, 36190, 69, 27, 284, 801, 1115, 7615, 27, 203, 50, 3169, 81, 452, 463, 2833, 32, 916, 683, 203, 589, 6765, 26, 1357, 711, 284, 415, 1326, 32, 496, 32, 297, 81, 22297, 2262, 291, 442, 5668, 463, 5087, 683, 284, 442, 1619, 346, 203, 50, 3615, 81, 3648, 203, 50, 3169, 81, 452, 463, 2833, 32, 916, 683, 203, 589, 3390, 26, 1357, 711, 284, 442, 1619, 346, 203, 50, 3169, 81, 452, 463, 2833, 32, 916, 683, 203, 589, 6850, 81, 5914, 26, 1357, 711, 284, 442, 1619, 26, 291, 6850, 81, 5914, 47, 1815, 30, 291, 4096, 47, 1357, 32, 2848, 32, 371, 463, 1935, 81, 6460, 81, 2468, 683, 284, 829, 203, 50, 3169, 81, 452, 463, 2833, 32, 916, 683, 203, 589, 1205, 81, 1935, 26, 1357, 711, 284, 9161, 280, 1326, 32, 2848, 710, 9865, 81, 9247, 4902, 7878, 785, 284, 442, 1619, 26, 1935, 81, 3648, 47, 1815, 30, 9161, 47, 7878, 27, 203, 50, 1069, 83, 463, 10676, 44, 5898, 683, 203, 589, 20297, 81, 2393, 26, 1357, 30, 9161, 711, 284, 415, 6937, 26, 1357, 32, 7878, 30, 3772, 17223, 35, 711, 291, 2404, 280, 301, 324, 330, 10772, 81, 1956, 950, 1326, 32, 7921, 32, 371, 463, 3560, 81, 1956, 1425, 324, 330, 10772, 81, 1956, 81, 7241, 950, 1326, 32, 7921, 32, 371, 463, 3560, 81, 1956, 81, 7241, 1425, 291, 320, 284, 4348, 6937, 26, 1357, 32, 7878, 30, 3772, 17223, 36, 711, 291, 2404, 280, 1326, 32, 7921, 32, 371, 463, 3560, 81, 1956, 683, 284, 813, 44, 291, 3636, 17874, 19349, 463, 19129, 9161, 827, 683, 284, 1256, 280, 1326, 32, 7878, 32, 1409, 81, 2393, 26, 1956, 30, 20297, 47, 1815, 27, 284, 6207, 26, 1357, 30, 1256, 27, 284, 706, 280, 5053, 314, 950, 1256, 32, 314, 30, 330, 699, 950, 1256, 32, 699, 111, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 6, 5, 2, 2, 3, 5, 0, 1, 1, 2, 4, 2, 1, 1, 3, 5, 6, 6, 9, 9, 9, 9, 7, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 6, 6, 9, 9, 9, 9, 7, 11, 10, 9, 11, 11, 11, 10, 11, 11, 11, 9, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 11, 10, 11, 11, 11, 11, 11, 9, 6, 6, 5, 7, 5, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 4, 3, 2, 2, 4, 7, 8, 6, 7, 7, 7, 6, 4, 4, 6, 8, 10, 10, 3, 3, 4, 6, 0, 2, 3, 3, 3, 1, 2, 4, 4, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 4, 3, 2, 2, 4, 6, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 4, 6, 6, 6, 8, 8, 7, 8, 6, 6, 6, 7, 11, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 6, 6, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5, 5, 8, 9, 7, 9, 9, 9, 9, 8, 8, 3, 3, 4, 6, 8, 8, 8, 7, 8, 6, 6, 7, 8, 6, 0, 2, 4, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 2, 2, 4, 6, 8, 7, 8, 6, 6, 7, 7, 6, 4, 4, 7, 7, 8, 8, 11, 11, 11, 11, 9, 12, 13, 11, 12, 11, 13, 13, 13, 13, 8, 8, 11, 11, 11, 11, 11, 11, 9, 12, 13, 11, 12, 11, 13, 13, 13, 13, 13, 13, 8, 8, 4, 4, 5, 7, 9, 8, 9, 7, 7, 8, 8, 7, 5, 5, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 4, 4, 5, 5, 5, 7, 9, 9, 11, 11, 11, 11, 3, 3, 5, 5, 8, 9, 7, 8, 8, 8, 7, 8, 7, 7, 8, 9, 7, 3, 3, 6, 7, 6, 6, 6, 3, 3, 5, 5, 9, 9, 7, 8, 9, 6, 6, 9, 9, 7, 8, 9, 6, 3 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 3, 3, 2, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 4, 4, 1, 6, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 2, 1, 2, 11, 11, 0, 0, 1, 1, 1, 4, 4, 1, 1, 0, 12, 12, 2, 1, 2, 12, 12, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 13, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 1, 1, 0, 0, 1, 1, 1, 14, 1, 0, 0, 0, 1, 1, 1, 1, 2, 14, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 16, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 4, 4, 1, 1, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 17, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 4, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 5, 5, 5, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 4 ]
[ 465, 802, 26279, 30, 316, 30, 45977, 203, 1070, 15390, 605, 1188, 15222, 86, 81, 37, 81, 36, 81, 34, 619, 15390, 605, 203, 23373, 280, 316, 32, 6993, 9670, 78, 103, 34, 34, 36, 55, 78, 103, 37, 34, 34, 36, 78, 42297, 34, 55, 78, 42297, 40, 35, 25790, 203, 560, 81, 4254, 280, 323, 20, 29096, 287, 20, 203, 101, 560, 81, 4254, 280, 313, 29096, 287, 20, 203, 589, 636, 26279, 26, 1172, 711, 284, 537, 1172, 280, 1605, 284, 436, 281, 328, 2266, 44, 291, 415, 802, 26279, 32, 266, 81, 1274, 81, 84, 35, 26, 85, 711, 324, 4036, 291, 537, 1172, 32, 1689, 26, 800, 26279, 32, 1110, 81, 1274, 81, 84, 36, 26, 85, 490, 284, 2266, 280, 34873, 2524, 26, 890, 1172, 27, 284, 2266, 280, 15390, 605, 32, 12944, 440, 64, 11988, 53, 392, 2266, 27, 284, 436, 281, 328, 2266, 44, 291, 415, 802, 26279, 32, 266, 81, 1274, 81, 85, 35, 36, 26, 85, 27, 556, 766, 2607, 802, 26279, 32, 266, 81, 1274, 81, 85, 36, 36, 26, 85, 27, 556, 766, 2607, 802, 26279, 32, 266, 81, 1274, 81, 85, 37, 26, 85, 27, 556, 766, 2607, 802, 26279, 32, 266, 81, 1274, 81, 85, 38, 26, 85, 27, 556, 766, 2607, 802, 26279, 32, 266, 81, 1274, 81, 85, 39, 26, 85, 27, 556, 766, 2607, 802, 26279, 32, 266, 81, 1274, 81, 85, 40, 26, 85, 27, 556, 766, 2607, 802, 26279, 32, 266, 81, 1274, 81, 85, 41, 26, 85, 27, 556, 766, 2607, 802, 26279, 32, 266, 81, 1274, 81, 85, 42, 26, 85, 27, 556, 766, 2607, 802, 26279, 32, 266, 81, 1274, 81, 85, 43, 26, 85, 711, 324, 3636, 23174, 924, 440, 3817, 5341, 904, 100, 20, 904, 281, 27, 284, 33453, 726, 280, 428, 800, 26279, 32, 266, 81, 1274, 81, 86, 35, 26, 106, 27, 436, 816, 328, 2266, 79, 284, 436, 281, 328, 33453, 726, 44, 291, 415, 281, 44, 324, 415, 1346, 26, 800, 26279, 32, 266, 81, 1274, 81, 86, 36, 26, 106, 27, 436, 816, 328, 2266, 711, 400, 3636, 23174, 924, 440, 28075, 432, 551, 28559, 20066, 225, 36, 657, 324, 415, 646, 33453, 726, 77, 34, 79, 556, 646, 33453, 726, 6448, 35, 2786, 400, 3636, 23174, 924, 440, 28075, 432, 551, 28559, 20066, 225, 37, 657, 284, 442, 2266, 203, 589, 2614, 20957, 26, 1172, 711, 284, 1596, 44, 291, 2266, 280, 2266, 32, 4434, 440, 14510, 657, 284, 2940, 23174, 924, 44, 291, 3097, 284, 813, 44, 291, 415, 225, 34, 333, 2069, 26, 1172, 27, 333, 225, 40, 38, 44, 324, 442, 2266, 291, 3636, 23174, 924, 440, 1172, 3502, 556, 5133, 1946, 657, 284, 2266, 280, 636, 26279, 26, 1172, 27, 284, 1596, 44, 291, 2266, 280, 2266, 32, 4434, 440, 14510, 657, 284, 2940, 23174, 924, 44, 291, 3097, 284, 813, 44, 291, 415, 225, 34, 333, 2069, 26, 1172, 27, 333, 225, 40, 38, 44, 324, 442, 2266, 291, 3636, 23174, 924, 440, 1172, 3502, 556, 5133 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 0, 3, 2, 2, 4, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 8, 7, 8, 8, 8, 8, 8, 8, 7, 8, 7, 5, 5, 4, 4, 8, 7, 8, 7, 10, 10, 9, 10, 10, 10, 10, 10, 10, 9, 10, 9, 2, 2, 4, 4, 7, 6, 7, 7, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 6, 6, 2, 2, 3, 3, 3, 3, 3, 3, 5, 16, 15, 16, 16, 16, 16, 16, 16, 16, 15, 16, 15, 13, 13, 14, 13, 16, 15, 16, 16, 16, 16, 16, 16, 16, 15, 16, 15, 12, 12, 13, 12, 15, 14, 15, 15, 15, 15, 15, 15, 14, 15, 14, 11, 11, 12, 11, 14, 13, 14, 14, 14, 14, 14, 14, 13, 14, 13, 10, 10, 11, 10, 13, 12, 13, 13, 13, 13, 13, 13, 12, 13, 12, 9, 9, 10, 9, 12, 11, 12, 12, 12, 12, 12, 12, 11, 12, 11, 8, 8, 9, 8, 11, 10, 11, 11, 11, 11, 11, 11, 10, 11, 10, 7, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 10, 9, 10, 9, 6, 6, 7, 6, 9, 8, 9, 9, 9, 9, 9, 9, 8, 9, 8, 5, 5, 7, 9, 9, 12, 12, 12, 12, 12, 10, 10, 9, 2, 2, 5, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 8, 7, 8, 7, 5, 6, 6, 6, 5, 2, 2, 3, 3, 3, 4, 3, 3, 3, 5, 5, 5, 5, 7, 9, 12, 12, 11, 12, 12, 12, 12, 12, 12, 11, 12, 11, 9, 10, 10, 10, 9, 7, 7, 9, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 9, 11, 10, 11, 10, 8, 8, 9, 11, 10, 12, 10, 7, 7, 9, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 3, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 6, 8, 7, 7, 9, 10, 9, 7, 7, 8, 8, 6, 6, 6, 8, 5, 5, 6, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 3, 3, 4, 5, 4, 4, 4, 3, 3, 4, 4, 4, 6, 8, 7, 7, 9, 10, 9, 7, 7, 8, 8, 6, 6, 6, 8, 5, 5, 6, 8, 8, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 5, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 3, 6, 6, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 3, 1, 3, 3, 3, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 3, 1, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 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, 540, 9592, 203, 1559, 203, 1647, 44, 5247, 3073, 81, 4373, 81, 1363, 81, 37261, 203, 4021, 81, 2310, 44, 570, 3790, 44052, 2625, 322, 19518, 3073, 7663, 8351, 3304, 32, 203, 2310, 44, 334, 429, 570, 3790, 44052, 2625, 322, 19518, 3073, 7663, 8351, 3304, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 41, 20, 203, 2116, 44, 334, 429, 313, 75, 278, 297, 8085, 272, 2600, 11931, 69, 8293, 6637, 4731, 334, 429, 313, 2781, 107, 4665, 658, 11931, 3434, 29717, 4731, 203, 2184, 44, 334, 6699, 44, 284, 1503, 81, 11043, 44, 313, 36, 32, 42, 20, 284, 3048, 44, 275, 429, 19518, 3073, 6699, 372, 793, 308, 979, 2280, 880, 35, 547, 284, 2129, 44, 861, 284, 16682, 44, 397, 429, 312, 874, 35, 397, 429, 516, 1023, 51, 31, 15619, 31, 55, 5767, 397, 429, 880, 35, 397, 429, 516, 1023, 51, 31, 4002, 31, 4186, 35, 203, 9971, 81, 10270, 81, 9854, 44, 5247, 3073, 203, 9592, 203, 1460, 39189, 280, 540, 9592, 203, 31, 636, 44, 570, 3790, 19518, 3073, 7663, 8351, 44052, 334, 5247, 3073, 81, 4373, 81, 1363, 81, 37261, 44, 284, 6699, 44, 880, 35, 203, 9592, 203, 10934, 280, 540, 9592, 203, 1559, 203, 3804, 3073, 81, 4373, 81, 1363, 81, 37261, 44, 334, 3048, 44, 5170, 645, 19518, 3073, 2330, 334, 4717, 44, 3117, 334, 827, 44, 8640, 334, 4304, 44, 284, 313, 3804, 3073, 81, 4373, 81, 1363, 81, 37261, 563, 428, 291, 301, 324, 313, 2310, 563, 313, 858, 31, 1462, 392, 324, 313, 4898, 81, 1536, 81, 4373, 563, 861, 30, 324, 313, 314, 563, 313, 41, 3499, 286, 37, 36, 41, 31, 42, 3011, 31, 38, 37, 83, 40, 31, 43, 39, 85, 38, 31, 40, 1479, 3590, 39, 40, 86, 42, 84, 39, 35, 392, 324, 313, 426, 563, 313, 858, 31, 1462, 392, 324, 313, 12708, 563, 313, 37, 88, 41, 34, 43, 40, 34, 36, 31, 39, 87, 40, 85, 31, 38, 40, 35, 43, 31, 84, 42, 34, 85, 31, 87, 42, 38, 35, 85, 42, 43, 41, 37, 38, 1549, 392, 324, 313, 12708, 81, 1536, 563, 901, 30, 324, 313, 13547, 563, 428, 400, 301, 528, 313, 314, 563, 313, 35, 36, 88, 35, 43, 3590, 41, 31, 35, 34, 42, 85, 31, 38, 39, 35, 41, 31, 43, 39, 38, 85, 31, 87, 40, 84, 37, 86, 34, 37, 35, 35, 37, 40, 37, 392, 528, 313, 426, 563, 313, 545, 105, 31, 87, 34, 86, 35, 39, 42, 20, 400, 320, 324, 1481, 291, 320, 284, 1481, 203, 9592, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 6390, 1188, 35603, 2459, 203, 1070, 28520, 32, 1647, 81, 2304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 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, 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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 6, 6, 1, 2, 2, 2, 1, 4, 6, 6, 0, 0, 7, 7, 1, 2, 2, 2 ]
[ 505, 1427, 505, 280, 766, 203, 2993, 203, 978, 26801, 2297, 429, 26149, 461, 4438, 372, 5597, 461, 5742, 11708, 21384, 101, 203, 1318, 3619, 26801, 2297, 438, 600, 15529, 10078, 372, 6892, 461, 16924, 4281, 21384, 101, 30, 203, 4849, 32, 322, 35899, 18299, 33, 107, 4718, 10078, 30, 556, 322, 793, 432, 10605, 15866, 32, 225, 6468, 3619, 26801, 30, 844, 203, 11676, 1330, 1849, 372, 7350, 312, 537, 8345, 436, 20720, 21384, 101, 556, 9215, 15866, 429, 322, 11708, 2297, 203, 48356, 312, 4253, 432, 6015, 688, 844, 793, 372, 8520, 322, 21384, 7029, 328, 4865, 32, 203, 10921, 438, 312, 3460, 372, 3185, 313, 8279, 30, 10896, 11555, 308, 271, 1346, 485, 32668, 432, 322, 2234, 3778, 10321, 11370, 2717, 333, 669, 575, 2970, 48, 15981, 403, 284, 645, 3619, 26801, 1188, 10211, 30, 743, 833, 302, 284, 588, 5597, 21384, 432, 312, 485, 32668, 284, 485, 7104, 280, 10211, 26, 743, 833, 302, 829, 474, 17693, 474, 10211, 26, 743, 833, 302, 829, 474, 313, 11555, 284, 17964, 280, 313, 8279, 30, 10896, 11555, 284, 1459, 17964, 30, 313, 396, 392, 485, 7104, 32, 2208, 652, 26, 17964, 829, 203, 1318, 3460, 10107, 322, 2412, 403, 284, 12000, 30, 10896, 19, 967, 2107, 8279, 370, 5769, 370, 330, 6708, 370, 39458, 785, 203, 1318, 4865, 10293, 432, 322, 21384, 438, 12247, 18970, 30, 22420, 299, 372, 322, 630, 31, 327, 5623, 8405, 203, 823, 4467, 30, 461, 322, 793, 432, 21645, 330, 19994, 461, 25366, 25, 15568, 32, 203, 1318, 8436, 3276, 4717, 645, 3185, 652, 346, 883, 526, 20001, 619, 312, 11815, 1149, 30, 312, 9473, 30, 556, 600, 203, 1473, 623, 8189, 5414, 32, 203, 1318, 3619, 26801, 2297, 13650, 1629, 432, 322, 9808, 688, 884, 18214, 354, 327, 299, 1412, 4127, 1344, 47475, 44, 203, 429, 6717, 556, 5816, 19782, 308, 1382, 3684, 3460, 1098, 2329, 2887, 313, 8279, 30, 6708, 13700, 313, 8279, 225, 1717, 225, 10896, 225, 653, 392, 5774, 7447, 203, 429, 34210, 5852, 203, 429, 17703, 8446, 203, 2993, 203, 505, 1648, 505, 280, 313, 35, 32, 39, 32, 34, 20, 203, 505, 1648, 1043, 505, 280, 313, 36, 42, 10709, 225, 36, 34, 34, 42, 225, 35, 34, 44, 34, 39, 20, 203, 505, 2116, 505, 280, 313, 9913, 338, 22554, 5708, 548, 333, 385, 6053, 89, 50, 3707, 32, 21447, 32, 1299, 5844, 203, 465, 802, 203, 1070, 18105, 612, 1188, 2488, 619, 341, 93, 612, 203, 465, 1933, 30, 3731, 203, 465, 11685, 203, 465, 316, 203, 465, 309, 268, 81, 9777, 203, 465, 5592, 32, 31983, 32, 31983, 2304, 203, 505, 464, 505, 280, 428, 203, 25, 2185, 370, 330, 2732, 2274, 13099, 370, 330, 2732, 2274, 8208, 370, 330, 16364, 37519, 370, 330, 17202, 370, 330, 7167, 370, 330, 3863, 370, 330, 2766, 370, 203, 25, 13052, 35753, 370, 330, 11342, 370, 330, 6098, 705, 2137, 370, 330, 1564, 370, 330, 13099, 370, 330, 1811, 2102, 370, 330, 1811, 2130, 370, 330, 8208, 370, 203, 25, 3665, 3472, 370, 330, 2023, 3665, 370, 330, 1337 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5 ]
[ 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 5, 5, 0, 5, 5, 3, 3, 2, 2, 0, 6, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 0, 0, 10, 10, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1 ]
[ 1070, 17735, 37, 1188, 22723, 203, 1070, 11993, 1188, 11406, 81, 6229, 1392, 30, 27087, 30, 5648, 203, 325, 11406, 81, 6229, 1392, 44, 284, 645, 309, 11013, 304, 32, 5815, 43736, 1188, 358, 11013, 304, 203, 823, 5033, 299, 4097, 2780, 44, 284, 665, 1156, 1664, 3207, 784, 30, 309, 11013, 304, 44, 313, 69, 11013, 304, 657, 967, 1665, 44, 291, 630, 32, 5815, 43736, 280, 309, 11013, 304, 284, 665, 622, 81, 10122, 81, 24945, 462, 26, 784, 27, 967, 5648, 77, 466, 2786, 291, 2738, 280, 630, 32, 5815, 43736, 32, 1199, 32, 7017, 346, 291, 736, 280, 2738, 32, 4526, 440, 1613, 11470, 81, 24945, 462, 645, 42827, 81, 4519, 657, 291, 2698, 280, 736, 32, 5140, 658, 346, 291, 415, 646, 2698, 44, 324, 442, 1665, 291, 44636, 462, 280, 2698, 77, 34, 79, 291, 415, 6937, 26, 24945, 462, 30, 3519, 711, 324, 44636, 462, 280, 44636, 462, 32, 5460, 440, 6261, 31, 42, 657, 291, 442, 44636, 462, 284, 665, 2968, 81, 10122, 81, 24945, 462, 26, 291, 630, 30, 42827, 81, 1126, 44, 27087, 9532, 466, 614, 596, 614, 44636, 462, 44, 596, 284, 829, 967, 1665, 44, 291, 2738, 280, 630, 32, 5815, 43736, 32, 1199, 32, 7017, 346, 291, 5552, 280, 308, 324, 313, 2631, 1878, 37992, 2641, 42827, 81, 4519, 308, 314, 30, 11470, 81, 24945, 462, 27, 313, 324, 313, 20866, 308, 34, 30, 1018, 4731, 291, 829, 291, 2738, 32, 4526, 26, 2602, 30, 308, 24945, 462, 33702, 291, 630, 1114, 268, 2888, 81, 349, 268, 929, 3631, 26, 324, 2738, 30, 42827, 81, 1126, 30, 44636, 462, 30, 313, 1696, 81, 349, 268, 929, 314, 81, 13131, 993, 20, 291, 829, 291, 630, 1114, 268, 2888, 81, 349, 268, 929, 3631, 26, 324, 2738, 30, 42827, 81, 1126, 30, 44636, 462, 30, 313, 3264, 81, 349, 268, 929, 314, 81, 13131, 993, 20, 291, 829, 291, 630, 32, 5815, 43736, 32, 1199, 32, 3375, 346, 284, 665, 617, 268, 2888, 81, 349, 268, 929, 3631, 26, 291, 630, 30, 291, 2738, 44, 22723, 30, 291, 42827, 81, 1126, 44, 27087, 9532, 466, 614, 596, 614, 291, 44636, 462, 44, 596, 30, 291, 1858, 44, 596, 30, 284, 829, 967, 1665, 44, 291, 5552, 280, 313, 4620, 22466, 20399, 3753, 904, 101, 20, 904, 1858, 291, 736, 280, 2738, 32, 4526, 26, 2602, 27, 291, 2698, 81, 998, 280, 736, 32, 5140, 658, 346, 291, 2698, 81, 998, 280, 2698, 81, 998, 77, 34, 79, 291, 5254, 81, 891, 280, 225, 39, 34, 34, 291, 2385, 280, 225, 34, 291, 2218, 2385, 333, 2698, 81, 998, 44, 324, 5552, 280, 313, 4620, 16538, 30, 2965, 3753, 904, 101, 17076, 6936, 804, 7445, 904, 101, 29016, 904, 101, 20, 904, 308, 400, 1858, 30, 400, 5254, 81, 891, 30, 400, 2385, 30, 324, 829, 324, 736, 280, 2738, 32, 4526, 26, 2602, 27, 324, 5760, 280, 736, 32, 44569, 346, 324, 436, 16538, 30, 2965, 328, 5760, 44, 400, 415, 646, 16538, 556, 646, 2965, 44, 528, 4036, 400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 5, 5, 4, 5, 5, 3, 3, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 5, 8, 8, 8, 8, 3, 3, 3, 3, 3, 7, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 8, 6, 3, 3, 6, 6, 10, 11, 11, 9, 10, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 5, 6, 5, 5, 5, 7, 4, 4, 7, 6, 6, 7, 8, 7, 4, 4, 5, 7, 8, 8, 7, 7, 7, 5, 5, 9, 8, 8, 11, 10, 11, 10, 12, 12, 12, 12, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 8, 11, 10, 8, 8, 4, 6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 6, 6, 10, 11, 11, 9, 10, 8, 9, 8, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 8, 8, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 8, 8, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 9, 10, 10, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 6, 6, 5, 5, 8, 11, 10, 8, 8, 4, 4, 6, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 7, 8, 7, 4, 4, 7, 7, 6, 6, 7, 7, 7, 4, 4, 6, 6, 7, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 10, 10, 10, 11, 11, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 7, 7, 9, 11, 10, 10, 11, 9, 9, 9, 8 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 2, 2, 0, 0, 3, 3, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 2, 2, 1, 6, 6, 3, 1, 3, 3, 3, 0, 6, 6, 0, 0, 0, 2, 2, 2, 6, 6, 5, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 6, 6, 6, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 3, 3, 1, 1, 0, 1, 1, 2, 0, 5, 5, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 6, 6, 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, 2, 2, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 3, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 6, 6, 0, 2, 2, 0, 2, 0, 2, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 0, 0, 5, 5, 1, 1, 0, 1, 1, 2, 2, 0, 7, 7, 2, 2, 2, 9, 9, 2, 2, 2, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 0, 0, 0, 2, 1, 1, 1, 6, 6, 0, 0, 0, 0, 0, 2, 2, 1, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 2, 6, 6, 0, 0, 0, 0, 2, 2, 2, 6, 6, 0, 0, 2, 6, 6, 6, 1, 1, 2, 2, 6, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 0, 1, 1, 2, 0, 0, 0, 5 ]
[ 1070, 24200, 32, 76, 272, 28879, 32, 3689, 3694, 1188, 2614, 7434, 634, 30, 2614, 3582, 203, 1070, 2523, 272, 9004, 101, 32, 5872, 13500, 32, 5560, 3113, 1188, 3772, 1722, 203, 823, 12122, 26, 1761, 1722, 711, 284, 6089, 81, 681, 280, 16890, 81, 681, 280, 313, 5560, 3113, 4607, 20, 284, 4904, 81, 681, 280, 1665, 284, 15223, 12376, 81, 681, 280, 1665, 284, 12852, 81, 1293, 280, 1665, 284, 617, 4642, 280, 3772, 1722, 1114, 4642, 474, 308, 291, 5053, 314, 950, 330, 5176, 81, 681, 370, 330, 681, 950, 330, 800, 370, 330, 2816, 950, 4247, 835, 291, 5053, 314, 950, 330, 7782, 12376, 81, 681, 370, 330, 681, 950, 330, 800, 370, 330, 2816, 950, 4247, 835, 291, 5053, 314, 950, 330, 12262, 81, 1293, 370, 330, 681, 950, 330, 800, 370, 330, 2816, 950, 4247, 835, 291, 829, 284, 617, 33031, 280, 3772, 1722, 1114, 33031, 474, 308, 291, 2726, 8601, 370, 2614, 3582, 26, 25034, 634, 30, 324, 330, 76, 272, 9004, 101, 32, 5872, 13500, 32, 5560, 3113, 32, 10480, 32, 10480, 370, 324, 330, 18806, 683, 324, 2588, 291, 2726, 15934, 370, 2614, 7434, 634, 26, 23468, 30, 324, 330, 76, 272, 9004, 101, 32, 5872, 13500, 32, 5560, 3113, 32, 3663, 32, 3663, 370, 324, 330, 5176, 683, 324, 2588, 291, 829, 284, 665, 3298, 26, 784, 711, 291, 442, 630, 32, 8601, 922, 2929, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 5, 5, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 4, 4, 7, 6, 7, 5, 5, 6, 6, 10, 10, 8, 10, 10, 10, 10, 7, 10, 10, 8, 10, 10, 7, 10, 10, 8, 7, 6, 6, 10, 10, 8, 10, 10, 10, 10, 10, 7, 10, 10, 8, 10, 10, 7, 10, 10, 8, 7, 6, 6, 10, 10, 8, 10, 10, 10, 10, 7, 10, 10, 8, 10, 10, 7, 10, 10, 8, 7, 6, 6, 2, 2, 5, 4, 4, 7, 6, 7, 5, 5, 6, 6, 9, 9, 7, 9, 9, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 7, 7, 6, 6, 9, 9, 7, 9, 9, 9, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 7, 7, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 9, 10, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 4, 4, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 5, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 5, 3, 2, 2, 1, 2, 1, 1, 1, 1, 2, 5, 1, 2, 3, 1, 2, 5, 1, 2, 5, 5, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 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, 2, 1, 1, 2, 2, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 2, 2, 4, 4, 6, 2, 1, 2, 6, 6, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 296, 31501, 203, 1070, 296, 31501, 32, 2304, 1188, 2022, 102, 30, 622, 770, 30, 2464, 770, 30, 4550, 81, 15407, 203, 1070, 296, 31501, 1188, 3124, 1216, 30, 617, 203, 1070, 296, 31501, 32, 1160, 32, 2812, 1188, 6211, 203, 599, 81, 3365, 81, 8881, 280, 301, 203, 202, 20, 14431, 81, 9150, 563, 313, 8881, 33, 599, 81, 3365, 33, 8914, 81, 268, 14832, 30933, 81, 3365, 32, 916, 20, 203, 111, 203, 823, 22555, 435, 14832, 30933, 26, 3092, 711, 203, 202, 589, 622, 81, 7948, 81, 9150, 26, 784, 711, 357, 202, 325, 646, 308, 784, 32, 8914, 81, 3524, 461, 630, 32, 1070, 81, 770, 461, 630, 32, 452, 81, 770, 711, 355, 202, 2076, 1216, 440, 12176, 9035, 30, 8649, 2821, 461, 2614, 2821, 884, 47008, 657, 355, 202, 601, 357, 202, 4742, 280, 3330, 357, 202, 325, 646, 630, 32, 1017, 81, 268, 14832, 1921, 81, 9150, 44, 355, 202, 4742, 280, 313, 363, 308, 3815, 723, 81, 770, 438, 744, 556, 4233, 723, 81, 770, 1057, 34, 34, 34, 34, 31, 34, 34, 31, 34, 34, 27059, 357, 202, 14431, 81, 9150, 280, 296, 31501, 32, 1199, 32, 2602, 27265, 355, 202, 1613, 12494, 202, 20, 21600, 13925, 20, 619, 11837, 81, 2812, 30, 273, 35, 32, 426, 619, 11837, 81, 3038, 30, 12494, 202, 102, 35, 32, 1058, 535, 81, 1347, 619, 8277, 535, 81, 2171, 30, 273, 35, 32, 1058, 535, 81, 770, 30, 12494, 202, 102, 36, 32, 34497, 81, 266, 81, 3524, 81, 8084, 619, 409, 2400, 30, 273, 36, 32, 15237, 81, 266, 81, 3524, 81, 8084, 619, 18990, 30, 12494, 202, 102, 35, 32, 1526, 299, 81, 770, 30, 273, 36, 32, 25478, 270, 81, 3524, 30, 273, 35, 32, 3815, 723, 81, 770, 30, 273, 36, 32, 3524, 81, 8084, 8667, 202, 1070, 603, 202, 82, 3007, 21600, 13925, 82, 273, 35, 30, 529, 3007, 21600, 13925, 9035, 82, 273, 36, 355, 202, 2767, 603, 202, 102, 36, 32, 2544, 280, 273, 35, 32, 426, 461, 273, 36, 32, 3524, 280, 904, 101, 461, 273, 35, 32, 1427, 1517, 47, 35, 603, 202, 363, 273, 35, 32, 1526, 299, 81, 770, 2377, 904, 101, 461, 273, 35, 32, 1526, 299, 81, 770, 2511, 904, 101, 12494, 202, 363, 415, 1693, 26, 102, 35, 32, 297, 81, 31864, 30, 330, 2023, 683, 280, 330, 2023, 25, 301, 34, 111, 355, 202, 1174, 810, 273, 35, 32, 1526, 299, 81, 770, 16867, 30, 273, 35, 32, 426, 21727, 357, 202, 47148, 1643, 26, 4742, 471, 308, 784, 32, 8914, 81, 3524, 30, 630, 32, 1070, 81, 770, 30, 630, 32, 452, 81, 770, 471, 619, 81, 2665, 47, 35, 27, 357, 202, 7948, 81, 9150, 280, 296, 31501, 32, 1199, 32, 2602, 27265, 355, 202, 1613, 12494, 202, 20, 8633, 13925, 20, 619, 11837, 81, 2812, 30, 636, 619, 11837, 81, 3038, 30, 12494, 202, 3576, 81, 1347, 619, 8277, 535, 81, 2171, 30, 4121, 81, 770, 619, 8277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 6, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 8, 8, 9, 10, 10, 10, 7, 5, 5, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 7, 4, 4, 7, 6, 6, 4, 4, 5, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 10, 9, 10, 8, 9, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 10, 8, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 8, 10, 10, 9, 10, 8, 4, 4, 7, 7, 7, 6, 6, 10, 9, 10, 8, 9, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 0, 0, 0, 4, 4, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 5, 2, 2, 2, 3, 1, 0, 0, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 1070, 2322, 32, 983, 1188, 7140, 203, 589, 7650, 81, 5691, 81, 2649, 81, 37, 26, 761, 711, 284, 623, 2156, 26, 761, 30, 313, 100, 657, 619, 328, 81, 761, 44, 291, 4845, 280, 328, 81, 761, 32, 33232, 346, 284, 5840, 280, 5307, 6649, 5967, 26, 2018, 30, 225, 37, 5421, 96, 25, 284, 4726, 225, 280, 5307, 6649, 5967, 26, 3235, 5421, 96, 25, 284, 2401, 81, 928, 81, 2040, 81, 17022, 280, 3177, 284, 623, 2156, 26, 761, 30, 313, 105, 657, 619, 963, 81, 761, 44, 291, 436, 1628, 328, 4845, 44, 40106, 415, 1628, 32, 15990, 26, 3609, 1017, 333, 17022, 370, 5307, 1017, 313, 17022, 41095, 400, 415, 2401, 81, 928, 81, 2040, 81, 17022, 44, 11057, 3097, 8982, 813, 44, 528, 1628, 280, 5840, 474, 1628, 400, 2401, 81, 928, 81, 2040, 81, 17022, 280, 2933, 324, 813, 44, 400, 415, 2401, 81, 928, 81, 2040, 81, 17022, 44, 11057, 1628, 280, 4726, 474, 1628, 400, 2401, 81, 928, 81, 2040, 81, 17022, 280, 3177, 2264, 324, 963, 81, 761, 32, 1821, 26, 928, 27, 203, 2388, 81, 1515, 280, 330, 55, 16406, 290, 713, 1736, 1617, 1736, 17251, 418, 6634, 1736, 25, 203, 1216, 463, 11415, 1169, 1914, 2276, 328, 3051, 549, 1361, 14904, 30865, 203, 1216, 463, 4058, 19440, 12454, 3051, 81, 1515, 27, 203, 1216, 463, 5877, 8290, 683, 203, 979, 1519, 30, 1361, 15615, 30, 2276, 328, 2322, 32, 11905, 26, 2388, 81, 1515, 711, 284, 436, 636, 328, 2276, 44, 291, 415, 636, 32, 20643, 26, 3949, 90, 370, 5608, 3766, 41095, 324, 803, 280, 2322, 32, 983, 32, 2524, 26, 983, 30, 636, 27, 324, 1459, 26, 761, 27, 324, 7650, 81, 5691, 81, 2649, 81, 37, 26, 761, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 8, 9, 8, 8, 10, 10, 6, 6, 8, 8, 3, 3, 3, 6, 6, 9, 9, 8, 9, 8, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 3, 8, 9, 8, 8, 10, 10, 6, 6, 8, 8, 3, 3, 3, 5, 5, 5, 5, 5, 5, 7, 9, 10, 9, 10, 12, 12, 12, 12, 10, 12, 12, 12, 12, 7, 7, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 10, 10, 10, 13, 13, 14, 14, 8, 8, 11, 11, 11, 11, 11, 11, 10, 10, 7, 7, 8, 8, 8, 10, 11, 11, 11, 11, 11, 11, 10, 10, 10, 13, 13, 14, 14, 9, 9, 12, 12, 12, 12, 12, 12, 11, 11, 6, 6, 6, 10, 10, 9, 10, 9, 10, 9, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 5, 4, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 3, 4, 4, 3, 0, 3, 3, 5, 5, 5, 0, 1, 1, 2, 2, 3, 2, 2, 1, 1, 3, 4, 3, 4, 4, 4, 3, 1, 1, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 8, 10, 10, 8, 10, 10, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 10, 6, 6, 9, 10, 9, 6, 6, 9, 9, 9, 9, 9, 9, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 1, 1, 1, 2, 0, 7, 7, 1, 1, 2, 1, 1, 7, 7, 0, 2, 1, 1, 1, 1, 1, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8206, 13835, 32, 28783, 1188, 25630, 36, 41622, 203, 823, 570, 1356, 36, 47321, 26, 22589, 36, 41622, 32, 24883, 36, 47321, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 25630, 36, 41622, 32, 24883, 36, 47321, 3667, 1664, 3207, 784, 30, 793, 24883, 47, 2700, 27, 203, 589, 2443, 2262, 284, 30633, 280, 570, 1356, 36, 47321, 346, 284, 645, 8206, 13835, 32, 28783, 32, 1831, 1188, 2443, 47321, 284, 2443, 47321, 26, 41622, 27, 203, 505, 464, 505, 280, 2107, 3789, 785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 9, 8, 9, 9, 9, 7, 8, 8, 8, 7, 7, 9, 8, 9, 7, 0, 1, 1, 2, 1, 1, 4, 4, 6, 6, 6, 6, 2, 2, 3, 5, 4, 5, 4, 5, 3, 3, 5, 2, 2, 5, 5, 6, 5, 0, 3, 3, 3, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 3, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 1, 0, 1, 2, 1, 4, 1, 1, 0, 4, 4, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 4134, 203, 1070, 1672, 27642, 708, 32, 7982, 1188, 3639, 81, 23936, 30, 12305, 6589, 203, 1070, 1672, 27642, 708, 32, 1040, 32, 751, 1188, 5776, 203, 1070, 638, 1772, 27642, 708, 81, 10887, 1188, 4300, 27642, 708, 18152, 30, 622, 81, 4531, 81, 426, 203, 823, 506, 10055, 18152, 26, 3758, 27642, 708, 18152, 711, 284, 17163, 81, 14458, 280, 2149, 284, 7767, 81, 1110, 280, 1605, 10065, 665, 1156, 1664, 3207, 784, 30, 636, 47, 2521, 30, 6866, 47, 2521, 30, 793, 81, 3550, 47, 1815, 711, 291, 2599, 17094, 1664, 3207, 426, 30, 6866, 30, 793, 81, 3550, 27, 291, 630, 32, 2386, 81, 24034, 81, 14458, 280, 1605, 284, 477, 17614, 284, 665, 1930, 81, 13991, 81, 11879, 81, 4531, 26, 6933, 30, 6866, 711, 291, 665, 4899, 26, 1436, 711, 324, 1477, 30, 4719, 280, 1474, 32, 605, 32, 371, 463, 24034, 81, 3585, 370, 308, 34, 30, 225, 35, 34, 35, 490, 324, 5776, 32, 2811, 463, 21306, 17163, 101, 328, 2155, 330, 2855, 17246, 429, 19553, 1643, 26, 1366, 30, 4719, 490, 324, 6866, 32, 7911, 26, 1436, 32, 7543, 440, 1772, 27642, 708, 32, 10887, 32, 4531, 32, 1366, 392, 9474, 706, 12516, 4531, 950, 313, 24034, 3612, 490, 324, 4719, 6589, 280, 12305, 6589, 346, 324, 4899, 81, 426, 280, 1665, 324, 623, 4719, 6589, 44, 400, 8594, 81, 14458, 280, 8594, 26, 6933, 32, 24034, 81, 14458, 32, 3028, 1026, 11244, 1202, 47, 2989, 32, 1094, 18241, 26, 34, 490, 400, 15098, 280, 428, 88, 77, 35, 79, 436, 296, 328, 8594, 81, 14458, 1014, 415, 1477, 2511, 296, 77, 34, 79, 333, 4719, 79, 400, 436, 4899, 328, 15098, 44, 528, 1596, 44, 715, 415, 4899, 26, 1436, 711, 1014, 2287, 280, 2933, 1014, 4899, 81, 426, 280, 622, 81, 4531, 81, 426, 26, 4531, 27, 1014, 6866, 32, 7911, 26, 1436, 32, 7543, 26, 9474, 330, 1772, 27642, 708, 32, 10887, 32, 4531, 32, 5898, 370, 9474, 706, 12516, 4531, 950, 313, 24034, 392, 12928, 313, 24034, 81, 4531, 563, 4899, 81, 426, 18364, 1014, 1626, 528, 2940, 3268, 44, 715, 5776, 32, 3893, 463, 984, 328, 17163, 11834, 400, 813, 44, 528, 2287, 280, 3177, 528, 5967, 280, 330, 2023, 17163, 3065, 2887, 8927, 4564, 528, 6866, 32, 7911, 26, 1436, 32, 7543, 463, 1772, 27642, 708, 32, 10887, 32, 4531, 32, 5898, 370, 13687, 706, 12516, 4531, 950, 313, 24034, 392, 17739, 330, 3893, 950, 5967, 18364, 324, 6866, 32, 7911, 26, 1436, 32, 1986, 26, 605, 12516, 15214, 950, 2287, 18364, 324, 415, 1474, 32, 1819, 32, 371, 463, 4840, 7831, 400, 5204, 280, 1474, 32, 1819, 710, 4840, 785, 400, 3639, 81, 23936, 26, 4840, 30, 330, 24034, 81, 4531, 370, 4719, 6589, 30, 4985, 5053, 4531, 950, 4899, 81, 426, 1748, 291, 442, 4899, 284, 477, 17614, 284, 665, 617, 3317, 81, 24034, 26, 6933, 30, 4899, 30, 7767, 30, 9958, 711, 291, 2218, 9958, 328, 9011, 32, 24034, 81, 14458, 44, 324, 9958, 1454, 225, 35, 291, 9011, 32, 24034, 81, 14458, 77 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 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, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 9, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 7, 8, 7, 6, 6, 10, 10, 9, 9, 12, 13, 11, 12, 11, 13, 13, 13, 13, 11, 13, 12, 12, 13, 13, 13, 12, 7, 7, 10, 11, 10, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 13, 12, 13, 12, 12, 12, 7, 7, 10, 11, 10, 13, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 17, 17, 15, 17, 17, 12, 7, 7, 10, 9, 9, 11, 11, 7, 7, 10, 10, 9, 9, 7, 7, 8, 11, 8, 8, 8, 12, 12, 11, 11, 13, 17, 16, 17, 17, 17, 15, 16, 15, 13, 13, 14, 17, 16, 17, 17, 16, 17, 16, 9, 9, 11, 11, 14, 13, 14, 13, 12, 13, 13, 13, 14, 14, 12, 12, 13, 14, 14, 15, 16, 15, 14, 14, 12, 9, 9, 10, 10, 10, 10, 10, 10, 12, 12, 12, 14, 16, 17, 16, 14, 14, 17, 17, 15, 15, 18, 18, 17, 17, 19, 19, 19, 19, 19, 20, 19, 15, 15, 18, 19, 18, 21, 20, 21, 20, 20, 20, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 20, 20, 21, 25, 25, 23, 25, 25, 22, 22, 25, 25, 25, 25, 23, 24, 24, 22, 15, 15, 12, 12, 13, 13, 13, 13, 17, 18, 17, 19, 19, 19, 19, 10, 10, 11, 11, 11, 14, 14, 12, 12, 14, 14, 16, 16, 16, 16, 16, 16, 12, 12, 15, 16, 15, 18, 17, 18, 17, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 17, 17, 18, 22, 22, 20, 22, 22, 19, 19, 22, 22, 20, 19, 7, 7, 10, 11, 10, 13, 12, 13, 12, 14, 13, 17, 17, 15, 14, 7, 7, 8, 11, 12, 10, 11, 10, 12, 12, 8, 8, 11, 11, 13, 14, 12, 14, 14, 9, 9, 12, 12, 12, 13, 12, 12, 14, 14, 14, 14, 12, 13, 12, 12, 12, 16, 16, 14, 15, 15, 13, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 8, 9, 9, 9, 6, 6, 6, 9, 9, 10, 5, 5, 9, 10, 10, 10, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 4, 4, 5, 0, 5, 5, 5, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 3, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 3, 3, 2, 2, 3, 1, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 2, 6, 6, 6, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 4, 4, 7, 0, 2, 0, 2, 1, 1, 2, 7, 7, 0, 0, 0, 2, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 2, 1, 2, 2, 7, 4, 4, 1, 4, 4, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0 ]
[ 465, 3124, 2423, 203, 465, 10245, 203, 465, 7138, 203, 1070, 6109, 81, 2846, 32, 3169, 483, 1188, 3772, 6462, 203, 823, 4578, 9004, 8770, 26, 1473, 711, 284, 665, 9336, 26, 784, 30, 2830, 711, 291, 415, 6937, 26, 2067, 30, 7138, 32, 6665, 711, 324, 442, 5053, 505, 823, 14935, 330, 6665, 370, 330, 302, 81, 466, 950, 2830, 32, 9328, 1643, 9741, 291, 4348, 6937, 26, 2067, 30, 7138, 32, 770, 711, 324, 442, 5053, 505, 823, 14935, 330, 770, 370, 330, 302, 81, 466, 950, 2830, 32, 9328, 1643, 9741, 291, 4348, 6937, 26, 2067, 30, 7138, 32, 1003, 711, 324, 442, 5053, 505, 823, 14935, 330, 1003, 370, 330, 302, 81, 466, 950, 2830, 32, 9328, 1643, 9741, 291, 4348, 6937, 26, 2067, 30, 10245, 32, 7697, 711, 324, 442, 5053, 505, 823, 14935, 330, 12710, 370, 330, 302, 81, 466, 950, 596, 26, 2067, 4370, 291, 813, 44, 324, 442, 2830, 203, 823, 4578, 9004, 6462, 26, 1761, 6462, 711, 284, 7444, 81, 681, 280, 330, 3164, 33, 2076, 2423, 25, 284, 2179, 280, 330, 2076, 2423, 25, 284, 2908, 81, 1621, 280, 330, 7003, 25, 284, 8485, 280, 1665, 284, 665, 2908, 26, 784, 30, 706, 30, 7444, 81, 681, 47, 2521, 30, 13100, 81, 1819, 47, 2521, 711, 291, 415, 706, 438, 1665, 44, 324, 442, 4247, 291, 442, 3124, 2423, 32, 2423, 84, 26, 605, 30, 1244, 47, 1175, 9004, 8770, 922, 4434, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 9, 7, 5, 5, 7, 11, 11, 11, 9, 11, 11, 8, 11, 11, 11, 11, 9, 11, 12, 12, 11, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 12, 12, 12, 10, 12, 12, 9, 12, 12, 12, 12, 10, 12, 13, 13, 12, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 12, 12, 12, 10, 12, 12, 9, 12, 12, 12, 12, 10, 12, 13, 13, 12, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 12, 12, 12, 10, 12, 12, 9, 12, 12, 12, 12, 10, 12, 13, 12, 5, 5, 6, 6, 6, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 4, 4, 5, 8, 7, 8, 8, 7, 8, 7, 7, 8, 11, 11, 11, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 2, 3, 3, 0, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 1, 0, 0, 4, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 1, 0, 0, 5, 1, 1, 1, 1, 3, 2, 1, 5, 5, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 1, 0, 0, 6, 1, 1, 1, 1, 3, 2, 1, 6, 6, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 0, 0, 7, 7, 7, 0, 0, 5, 5, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 4, 4, 4, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 4, 4, 1, 0, 0, 2, 2, 1, 1, 1, 1, 3, 0, 0, 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, 0, 0, 0, 0, 0 ]
[ 465, 316, 203, 465, 5237, 203, 1270, 44, 284, 1188, 15894, 1199, 619, 6716, 203, 7343, 29986, 30, 484, 44, 284, 645, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 284, 3636, 19444, 462, 631, 30096, 440, 924, 7742, 15894, 1199, 2297, 44, 904, 101, 20, 904, 484, 27, 203, 1648, 280, 6716, 32, 1648, 81, 1338, 203, 325, 308, 1648, 333, 308, 35, 30, 36, 30, 35, 27, 556, 308, 1648, 2867, 37, 79, 610, 308, 35, 30, 225, 36, 30, 225, 35, 27, 461, 291, 308, 1657, 26, 1648, 27, 333, 225, 39, 556, 1503, 77, 37, 79, 863, 330, 3220, 25, 556, 1503, 77, 38, 79, 333, 225, 36, 490, 711, 284, 645, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 284, 3636, 19444, 462, 631, 30096, 440, 14693, 1199, 31, 35, 32, 36, 32, 35, 98, 36, 556, 21962, 438, 2129, 45, 844, 1159, 904, 101, 20, 904, 6716, 3667, 1648, 8223, 203, 1070, 15894, 1199, 32, 45256, 1188, 40161, 203, 1070, 15894, 1199, 32, 9777, 1188, 35998, 81, 2319, 30, 22968, 30, 35479, 203, 1070, 8527, 32, 1199, 1188, 8745, 203, 1070, 8527, 32, 1199, 32, 11514, 1188, 319, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 28771, 1188, 3387, 81, 4524, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 7534, 32, 1580, 1188, 6716, 1486, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 7534, 32, 16777, 1188, 6716, 12608, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 7534, 32, 410, 32402, 1188, 6716, 1428, 32402, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 7534, 32, 6460, 1188, 6716, 6312, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 21763, 652, 30, 21763, 14923, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 325, 4070, 32, 2897, 44, 284, 645, 11685, 1188, 2761, 19991, 284, 2761, 19991, 440, 731, 392, 6215, 47, 3954, 32, 5711, 27, 203, 3954, 924, 280, 6716, 32, 3954, 924, 203, 9191, 543, 924, 280, 6716, 32, 9191, 543, 924, 203, 11025, 81, 43317, 280, 40161, 32, 2991, 346, 203, 11025, 81, 43317, 32, 1877, 1371, 284, 35998, 81, 2319, 32, 4804, 44, 4527, 32, 681, 2405, 81, 1003, 30, 284, 35998, 81, 2319, 32, 37607, 44, 4527, 32, 681, 2405, 81, 12710, 30, 284, 35998, 81, 2319, 32, 11356, 37607, 44, 4527, 32, 681, 2405, 81, 12710, 30, 203, 1748, 203, 1786, 81, 1648, 81, 268, 280, 316, 32, 6993, 26, 100, 25, 4987, 86, 109, 35, 30, 36, 1748, 8169, 4987, 86, 109, 35, 30, 36, 1748, 8169, 4987, 86, 109, 35, 30, 36, 1748, 683, 203, 823, 22723, 4672, 26, 1473, 711, 284, 12668, 81, 979, 81, 48419, 731, 280, 308, 35, 34, 38, 42, 21713, 284, 665, 1156, 1664, 3207, 784, 30, 6213, 711, 291, 630, 32, 7017, 280, 6213, 284, 665, 5742, 26, 784, 30, 2467, 30, 2181, 47, 2521, 711, 291, 1596, 44, 324, 442, 630, 32, 7017, 32, 4526, 26, 1217, 30, 2181, 27, 291, 2940, 6716, 32, 9191, 543, 924, 30, 484, 44, 324, 3636, 8745, 32, 9191, 543, 924, 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, 0, 1, 1, 1, 1, 3, 6, 4, 4, 1, 2, 2, 2, 2, 2, 2, 2, 4, 5, 6, 5, 6, 4, 4, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 6, 0, 3, 2, 2, 3, 4, 4, 4, 0, 1, 1, 5, 4, 4, 6, 5, 6, 5, 6, 5, 3, 3, 8, 7, 9, 7, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 5, 5, 5, 11, 11, 12, 11, 9, 9, 10, 8, 8, 10, 11, 10, 9, 9, 11, 11, 7, 7, 9, 10, 9, 8, 8, 9, 6, 2, 1, 1, 3, 4, 5, 4, 5, 3, 3, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 3, 3, 3, 5, 2, 2, 5, 5, 7, 7, 5, 6, 8, 7, 8, 5, 0, 3, 3, 2, 2, 3, 4, 4, 0, 3, 3, 3, 2, 2, 3, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 0, 4, 4, 4, 3, 4, 3, 4, 4, 7, 7, 6, 7, 5, 5, 6, 7, 7, 7, 7, 4, 4, 4, 7, 7, 6, 7, 5, 5, 6, 7, 7, 7, 7, 4, 4, 4, 7, 7, 6, 7, 7, 5, 5, 6, 7, 7, 7, 7, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 7, 10, 11, 9, 10, 9, 10, 9, 9, 9, 5, 5, 6, 7, 8, 8, 8, 6, 6, 6, 6, 6, 8, 10, 11, 11, 11, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 5, 5, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 4, 4, 0, 0, 0, 1, 2, 3, 2, 5, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 3, 3, 1, 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, 2, 2, 2, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 1, 6, 1, 8, 10, 10, 0, 0, 11, 11, 1, 2, 1, 4, 1, 6, 1, 8, 11, 11, 0, 0, 12, 12, 1, 2, 1, 4, 1, 6, 1, 8, 8, 12, 12, 0, 0, 0, 13, 13, 1, 2, 1, 4, 1, 6, 1, 8, 13, 13, 0, 0, 14, 14, 1, 2, 1, 4, 4, 4, 14, 14, 0, 14, 14, 0, 0, 15, 15, 1, 2, 15, 15, 0, 16, 16, 1, 2, 16, 16, 16, 0, 0, 0, 0, 3, 3, 0, 1, 1, 2, 1, 3, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 5, 5, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 22, 22, 1, 2, 1, 2, 22, 22, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 2, 2, 2, 3, 3, 3, 3, 3, 0, 0, 2, 2, 2, 1 ]
[ 465, 1360, 203, 465, 2322, 203, 465, 5237, 203, 465, 15798, 203, 465, 2108, 57, 2983, 203, 858, 280, 2108, 57, 2983, 32, 1006, 57, 2983, 346, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 2524, 26, 858, 1114, 15598, 30, 330, 978, 1356, 2847, 203, 2536, 81, 452, 81, 858, 280, 428, 284, 330, 978, 1356, 33, 24523, 33, 2739, 5767, 2963, 81, 858, 32, 978, 370, 284, 330, 978, 1356, 33, 24523, 33, 15215, 81, 2593, 81, 858, 32, 978, 370, 284, 330, 978, 1356, 33, 24523, 33, 7101, 33, 874, 4849, 81, 858, 32, 978, 370, 284, 330, 978, 1356, 33, 24523, 33, 7101, 33, 46756, 81, 858, 32, 978, 370, 284, 330, 978, 1356, 33, 24523, 33, 7101, 33, 37918, 81, 858, 32, 978, 370, 284, 330, 978, 1356, 33, 24523, 33, 2282, 81, 858, 32, 978, 370, 284, 330, 978, 1356, 33, 24523, 33, 1131, 81, 858, 32, 978, 370, 203, 79, 203, 11192, 4137, 280, 1605, 203, 979, 4870, 328, 2276, 81, 452, 81, 858, 44, 334, 636, 280, 2322, 32, 983, 32, 48271, 26, 500, 32, 983, 32, 2998, 26, 3607, 5594, 35, 33192, 34, 79, 334, 3536, 81, 3607, 280, 2322, 32, 983, 32, 2524, 26, 858, 1114, 15598, 30, 4870, 27, 334, 2297, 280, 1360, 32, 944, 81, 1855, 26, 426, 30, 3536, 81, 3607, 27, 334, 7322, 4137, 32, 1689, 26, 18986, 32, 1536, 1006, 4888, 32, 944, 4470, 1792, 2459, 26, 1647, 490, 203, 464, 81, 4882, 280, 15798, 32, 25514, 26, 11192, 4137, 27, 203, 1267, 280, 15798, 32, 1031, 39286, 26, 38974, 47, 36, 547, 1945, 26, 464, 81, 4882, 27, 203, 325, 1056, 32, 32997, 556, 1056, 32, 4275, 44, 334, 894, 32, 5066, 81, 858, 346, 203, 858, 32, 4617, 81, 858, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 3, 2, 2, 5, 5, 4, 5, 5, 5, 4, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 7, 6, 7, 5, 5, 7, 7, 7, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 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, 3, 3, 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, 3, 3, 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, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 8, 9, 7, 8, 7, 12, 11, 12, 10, 11, 10, 11, 10, 9, 8, 6, 5, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 6, 6, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 7, 6, 6, 7, 7, 6, 2, 2, 6, 5, 6, 5, 9, 8, 9, 9, 9, 7, 8, 8, 8, 8, 7, 8, 7, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 4, 0, 3, 2, 2, 6, 7, 7, 6, 8, 7, 8, 6, 5, 4, 5, 5, 5, 4, 0, 1, 1, 3, 4, 2, 2, 3, 4, 1, 1, 1, 5, 6, 6, 6, 5, 0, 4, 3, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 3, 3, 3, 3, 9, 9, 9, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 12, 12, 0, 2, 1, 1, 2, 2, 12, 12, 12, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 34856, 32, 678, 16397, 1188, 1202, 81, 16397, 203, 823, 15670, 953, 1572, 26, 678, 81, 16397, 32, 953, 1572, 711, 284, 665, 1487, 81, 678, 26, 784, 30, 40970, 30, 8218, 1057, 16902, 370, 3104, 47, 36, 39, 40, 30, 23888, 47, 2521, 30, 4511, 1115, 5321, 711, 291, 3636, 22210, 346, 284, 665, 2968, 81, 678, 26, 784, 30, 40970, 30, 1202, 30, 23888, 47, 2521, 30, 1115, 5321, 711, 291, 3636, 22210, 346, 284, 665, 1933, 81, 678, 26, 784, 30, 40970, 30, 1202, 81, 314, 30, 1115, 5321, 711, 291, 3636, 22210, 346, 284, 665, 622, 81, 678, 26, 784, 30, 40970, 30, 1202, 81, 314, 30, 1115, 5321, 711, 291, 3636, 22210, 346, 284, 665, 3066, 81, 678, 26, 784, 30, 40970, 30, 1202, 81, 314, 30, 1115, 5321, 711, 291, 3636, 22210, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 7, 7, 4, 5, 6, 6, 6, 4, 4, 5, 6, 4, 4, 4, 6, 4, 3, 3, 5, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 6, 4, 3, 3, 5, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 4, 3, 3, 5, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 4, 3, 3, 5, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 4, 3, 3, 5, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 1, 2, 2, 7, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 1, 2, 1, 1, 0, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 1, 2, 2, 2, 0, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 1, 2, 3, 3, 0, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 1, 2, 4, 4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 23401, 1188, 3223, 299, 203, 465, 18923, 1439, 203, 1648, 280, 313, 34, 32, 35, 32, 35, 34, 35, 32, 34, 20, 203, 589, 1390, 18098, 3121, 7575, 26, 37658, 711, 334, 442, 3223, 299, 32, 4868, 2931, 1669, 26, 37658, 30, 313, 18098, 81, 3999, 8041, 657, 203, 589, 6906, 23209, 26, 11400, 30, 963, 1515, 30, 1334, 30, 3400, 30, 5868, 47, 36, 34, 30, 1115, 5321, 711, 334, 18923, 1439, 32, 936, 18098, 3121, 7575, 280, 1390, 18098, 3121, 7575, 334, 442, 18923, 1439, 32, 2374, 23209, 26, 11400, 30, 963, 1515, 30, 1334, 30, 3400, 30, 5868, 30, 10306, 27, 203, 589, 3717, 26, 11400, 30, 1334, 30, 5868, 30, 1115, 5321, 711, 334, 18923, 1439, 32, 936, 18098, 3121, 7575, 280, 1390, 18098, 3121, 7575, 334, 442, 18923, 1439, 32, 1043, 26, 11400, 30, 1334, 30, 5868, 30, 10306, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 5, 6, 6, 6, 5, 6, 5, 5, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 4, 2, 2, 4, 2, 1, 1, 6, 5, 6, 6, 6, 6, 4, 4, 5, 5, 5, 2, 2, 3, 6, 5, 6, 6, 5, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 6, 5, 6, 6, 6, 6, 4, 4, 5, 5, 5, 2, 2, 3, 6, 5, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 1, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 5, 5, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 1, 0, 0, 2, 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 ]
[ 465, 5237, 203, 1070, 2340, 1040, 1188, 4118, 619, 2340, 81, 3922, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 1070, 638, 3550, 1188, 394, 779, 75, 81, 5241, 81, 34923, 203, 823, 394, 31679, 1547, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5018, 30, 2623, 711, 291, 630, 32, 1479, 280, 5018, 291, 630, 32, 770, 81, 748, 280, 2623, 284, 477, 16099, 284, 665, 3185, 81, 770, 26, 770, 81, 466, 711, 291, 1596, 44, 324, 442, 2340, 81, 3922, 32, 2208, 26, 770, 81, 466, 27, 291, 2940, 308, 18082, 30, 10091, 711, 324, 1596, 44, 400, 665, 6122, 81, 770, 2262, 528, 442, 308, 770, 81, 466, 6448, 38, 23751, 2340, 81, 466, 20129, 40, 614, 2340, 81, 466, 6448, 40, 5979, 38, 1130, 400, 442, 2340, 81, 3922, 32, 2208, 12605, 2473, 2524, 26, 2998, 81, 770, 5156, 324, 2940, 308, 18082, 30, 10091, 711, 400, 442, 1665, 284, 665, 1156, 6008, 81, 748, 26, 784, 711, 291, 415, 630, 32, 770, 81, 748, 44, 324, 415, 2065, 32, 12010, 26, 784, 32, 1479, 77, 784, 32, 770, 81, 748, 1130, 610, 2065, 32, 12010, 440, 6665, 40, 38, 77, 2425, 79, 10280, 400, 5237, 32, 4775, 440, 2137, 438, 3425, 328, 2340, 2179, 657, 324, 630, 32, 1479, 1365, 30858, 81, 770, 1446, 280, 630, 32, 1479, 77, 784, 32, 770, 81, 748, 997, 4699, 26, 400, 9254, 816, 44, 630, 32, 2208, 81, 770, 26, 466, 26, 106, 490, 324, 829, 324, 630, 32, 1479, 1365, 30858, 81, 770, 1446, 280, 630, 32, 1479, 1365, 30858, 81, 770, 6494, 4699, 26, 400, 9254, 816, 44, 816, 32, 770, 346, 415, 6121, 32, 1206, 1693, 26, 106, 27, 813, 816, 324, 829, 284, 665, 1156, 2998, 81, 770, 26, 784, 711, 291, 436, 1650, 30, 932, 328, 10703, 26, 30426, 75, 81, 5241, 81, 34923, 711, 324, 1596, 44, 400, 630, 32, 1479, 77, 748, 79, 280, 630, 32, 1479, 1365, 30858, 81, 770, 6494, 4699, 26, 528, 9254, 816, 44, 629, 26, 466, 26, 106, 547, 2998, 10359, 16050, 1055, 1130, 528, 415, 6121, 32, 1206, 1693, 26, 106, 27, 813, 816, 400, 829, 324, 2940, 44121, 44, 400, 4036, 284, 665, 1156, 4157, 81, 3258, 26, 784, 711, 291, 394, 779, 75, 81, 5241, 81, 34923, 32, 1689, 440, 30858, 81, 770, 657, 291, 436, 932, 328, 394, 779, 75, 81, 5241, 81, 34923, 44, 324, 630, 32, 1479, 77, 748, 997, 47199, 26, 784, 32, 1479, 77, 784, 32, 770, 81, 748, 614, 25611, 47, 1815, 27, 284, 665, 3185, 26, 784, 711, 291, 630, 3667, 6008, 81, 748, 346, 291, 630, 3667, 2998, 81, 770, 346, 291, 630, 3667, 4157, 81, 3258, 346, 291, 442, 630, 32, 1479, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 6, 6, 8, 11, 11, 10, 11, 10, 11, 11, 11, 10, 6, 6, 7, 9, 8, 8, 8, 7, 7, 9, 9, 9, 11, 12, 12, 12, 11, 11, 13, 16, 16, 16, 15, 18, 16, 14, 16, 16, 15, 18, 15, 14, 16, 16, 15, 18, 16, 18, 15, 10, 10, 11, 14, 14, 13, 14, 13, 17, 16, 15, 17, 17, 17, 17, 9, 9, 10, 12, 11, 11, 11, 10, 10, 12, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 10, 11, 10, 13, 12, 13, 11, 13, 12, 13, 13, 13, 11, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 7, 7, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 6, 6, 10, 11, 9, 11, 11, 11, 11, 8, 8, 12, 13, 11, 13, 12, 13, 13, 13, 11, 11, 10, 10, 10, 11, 11, 11, 13, 14, 14, 14, 13, 15, 15, 16, 15, 10, 10, 6, 6, 10, 11, 9, 11, 11, 11, 11, 8, 8, 12, 13, 11, 13, 13, 13, 13, 11, 10, 10, 10, 11, 11, 11, 14, 15, 14, 12, 12, 14, 15, 15, 14, 15, 14, 12, 12, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 5, 5, 7, 8, 8, 8, 8, 8, 8, 7, 5, 5, 7, 7, 7, 12, 13, 11, 12, 11, 10, 10, 14, 15, 13, 15, 15, 15, 15, 13, 12, 12, 12, 13, 13, 13, 16, 21, 21, 22, 21, 20, 19, 21, 18, 17, 14, 14, 14, 16, 17, 17, 16, 17, 16, 14, 14, 12, 12, 7, 7, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 8, 8, 8, 8, 8, 8, 7, 8, 7, 9, 9, 9, 9, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 11, 12, 10, 11, 10, 10, 9, 12, 11, 12, 10, 12, 11, 12, 12, 12, 10, 9, 10, 11, 9, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 5, 6, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 3, 3, 2, 2, 0, 2, 2, 1, 1, 0, 3, 3, 1, 1, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 3, 1, 3, 1, 0, 0, 5, 1, 2, 1, 5, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 3, 1, 1, 1, 1, 3, 3, 0, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 3, 3, 3, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 0, 0, 3, 3, 3, 3, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 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 ]
[ 465, 16672, 203, 465, 1359, 3922, 203, 1070, 1133, 1188, 596, 17845, 30, 2196, 1003, 203, 1070, 2322, 32, 983, 1188, 24797, 30, 5375, 30, 7140, 203, 1070, 2322, 1188, 345, 19831, 19845, 203, 1070, 5237, 1188, 1519, 203, 983, 32, 1689, 26, 2524, 26, 7781, 4064, 761, 36762, 31001, 2847, 203, 1070, 18564, 32, 494, 1188, 2662, 261, 203, 1070, 18564, 32, 2602, 1188, 622, 81, 2848, 261, 203, 8288, 280, 2149, 203, 3368, 280, 3177, 203, 589, 622, 81, 314, 26, 37904, 711, 284, 28388, 280, 5461, 101, 4724, 1199, 314, 20, 904, 963, 1515, 284, 415, 646, 5375, 26, 21932, 711, 291, 442, 225, 34, 284, 623, 2156, 26, 21932, 27, 619, 296, 44, 291, 442, 629, 26, 88, 32, 850, 1157, 203, 589, 4131, 81, 314, 26, 37904, 30, 537, 81, 314, 711, 284, 415, 646, 5375, 26, 37904, 711, 291, 345, 19831, 19845, 26, 37904, 27, 284, 623, 2156, 15339, 101, 4724, 1199, 314, 25, 904, 963, 1515, 30, 330, 105, 683, 619, 296, 44, 291, 296, 32, 1821, 26, 466, 26, 890, 81, 314, 27, 474, 3228, 96, 683, 203, 589, 2866, 81, 751, 26, 426, 30, 963, 1515, 30, 3124, 711, 284, 415, 636, 646, 328, 8821, 44, 291, 28388, 280, 5461, 101, 9708, 101, 32, 751, 20, 904, 308, 37904, 30, 636, 27, 291, 8821, 77, 426, 79, 280, 2156, 26, 21932, 30, 330, 83, 683, 284, 8821, 77, 426, 997, 1821, 26, 2076, 474, 3228, 96, 683, 203, 589, 1505, 81, 3368, 26, 643, 30, 963, 1515, 30, 636, 711, 284, 3649, 5808, 284, 1133, 280, 2196, 1003, 26, 643, 32, 1003, 27, 284, 2698, 3368, 280, 596, 17845, 15339, 86, 370, 1133, 27, 284, 415, 646, 5808, 44, 291, 5808, 280, 2698, 3368, 291, 442, 284, 415, 5808, 863, 2698, 3368, 44, 291, 5808, 280, 2698, 3368, 291, 1245, 280, 596, 17845, 463, 1812, 17052, 44, 904, 83, 30, 904, 84, 904, 86, 30, 904, 75, 370, 1133, 27, 291, 2866, 81, 751, 26, 426, 30, 963, 1515, 30, 1245, 27, 203, 589, 4479, 81, 751, 26, 643, 711, 284, 1245, 1003, 280, 596, 17845, 15339, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 370, 2196, 1003, 26, 643, 32, 1003, 490, 284, 22157, 280, 2698, 32, 1855, 32, 2998, 463, 19, 11968, 34, 79, 284, 415, 2698, 32, 681, 610, 330, 2524, 950, 291, 1245, 280, 6611, 101, 1101, 904, 101, 10027, 101, 27, 1401, 27033, 904, 101, 25, 904, 308, 751, 1003, 30, 22157, 30, 2698, 32, 1855, 30, 2698, 32, 1977, 27, 284, 4348, 2698, 32, 681, 610, 330, 2050, 950, 291, 1245, 280, 6611, 101, 36641, 904, 101, 10027, 101, 27, 1401, 2841, 904, 101, 25, 904, 308, 751, 1003, 30, 22157, 30, 2698, 32, 1855, 30, 2698, 32, 1977, 27, 291, 415, 2698, 32, 2076, 44, 324, 1245, 280, 5461, 101, 10027, 101, 4731, 904, 308, 751, 30, 2698, 32, 2076, 27, 284, 4348, 2698, 32, 681, 610, 330, 16997, 950, 291, 1245, 280, 6611, 101, 36641, 904, 101, 10027, 101, 27, 1401, 22438 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 4, 3, 4, 3, 5, 5, 7, 7, 8, 8, 5, 7, 0, 1, 1, 2, 3, 1, 1, 0, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 0, 3, 2, 2, 0, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 5, 5, 6, 2, 2, 3, 4, 6, 7, 6, 3, 3, 5, 6, 2, 2, 3, 8, 9, 8, 6, 6, 3, 3, 3, 5, 7, 10, 9, 10, 9, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 6, 7, 6, 3, 3, 7, 7, 7, 8, 7, 2, 2, 3, 8, 11, 11, 11, 11, 11, 9, 9, 10, 8, 8, 10, 10, 6, 6, 3, 3, 3, 7, 8, 7, 10, 10, 11, 11, 11, 10, 8, 8, 11, 10, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 9, 8, 8, 8, 4, 4, 7, 8, 7, 6, 6, 8, 9, 8, 8, 10, 10, 2, 2, 6, 7, 6, 6, 5, 7, 6, 6, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 1, 1, 3, 2, 2, 4, 4, 6, 6, 8, 7, 8, 6, 2, 2, 5, 4, 4, 6, 6, 8, 8, 6, 6, 2, 2, 3, 4, 3, 3, 3, 6, 6, 7, 4, 4, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 7, 4, 4, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 7, 7, 7, 8, 7, 7, 8, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 10, 9, 10, 8, 2, 2, 4, 4, 8, 9, 7, 8, 7, 9, 9, 6, 5, 2, 2, 3, 5, 6, 4, 4, 6, 6, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 8, 8, 8, 9, 10, 8, 8, 9, 10, 8, 3, 3, 4, 6, 7, 5, 5, 7, 7, 4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 9, 9, 9, 9, 10, 11, 9, 9, 10, 11, 9, 5, 5, 6, 7, 8, 6, 6, 6, 9, 9, 12, 12, 12, 12, 10, 10, 12, 11, 11, 12, 13, 11, 3, 3, 4, 6, 7, 5, 5, 7, 7, 4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 7, 7, 1, 2, 7, 7, 0, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 4, 4, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 12, 12, 1, 1, 2, 1, 2, 2, 3, 3, 2, 12, 12, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 13, 13, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 13, 13, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 14, 14, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 14, 14, 0, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 1, 4, 4, 3, 1, 3, 3, 3, 0, 0, 2, 3, 3, 4, 4, 4, 1, 1, 2, 4, 4, 4, 0, 0, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 3, 3, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 5, 0, 2, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 5237, 203, 3731, 32, 983, 32, 1689, 15382, 1617, 29594, 203, 1070, 9161, 1188, 706, 81, 470, 30, 8450, 81, 3242, 203, 1070, 2787, 1188, 2787, 81, 470, 203, 1070, 7350, 1188, 7533, 81, 1758, 1384, 203, 1070, 13396, 1188, 43007, 203, 465, 16804, 81, 3922, 203, 589, 2866, 81, 761, 26, 2076, 711, 284, 296, 280, 2156, 26, 2024, 81, 761, 30, 313, 83, 36998, 284, 296, 32, 1821, 26, 2076, 27, 284, 296, 32, 2679, 346, 284, 442, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 894, 81, 22447, 280, 428, 34, 30, 35, 30, 36, 36, 30, 36, 38, 79, 284, 4240, 81, 4215, 280, 225, 36, 284, 943, 81, 4215, 280, 225, 36, 35, 284, 13330, 280, 225, 34, 3701, 5683, 1906, 280, 10440, 36, 30, 36, 35, 2177, 284, 1688, 81, 761, 280, 5587, 3239, 32, 541, 20, 284, 1769, 81, 19869, 280, 225, 36, 34, 34, 284, 894, 81, 605, 81, 983, 280, 6910, 1127, 96, 31, 3604, 92, 31, 11176, 5681, 284, 15570, 280, 16804, 81, 3922, 32, 11693, 95, 2825, 346, 284, 436, 13330, 328, 2155, 26, 1449, 81, 19869, 711, 291, 2866, 81, 761, 440, 29773, 8133, 78, 96, 657, 291, 2866, 81, 761, 440, 21863, 904, 86, 44, 766, 96, 264, 4793, 7682, 25378, 96, 20, 904, 13330, 27, 291, 296, 470, 280, 15570, 32, 3239, 26, 3239, 1906, 30, 894, 81, 605, 81, 983, 30, 10128, 47, 2700, 27, 291, 2866, 81, 761, 440, 264, 22929, 3390, 3202, 14351, 96, 657, 291, 2866, 81, 761, 440, 264, 18410, 1741, 14222, 25378, 96, 657, 291, 436, 309, 328, 894, 81, 22447, 44, 324, 3468, 280, 15570, 32, 311, 37415, 81, 15924, 26, 1906, 81, 470, 6020, 101, 614, 605, 81, 983, 47, 858, 81, 605, 81, 983, 27, 324, 8616, 280, 15570, 32, 371, 81, 44077, 922, 371, 81, 16679, 346, 324, 2866, 81, 761, 440, 264, 13630, 904, 86, 769, 43635, 44, 904, 487, 15860, 26, 101, 30, 4718, 27, 474, 313, 225, 308, 904, 86, 517, 904, 86, 829, 766, 96, 15860, 5136, 829, 275, 202, 1821, 81, 761, 440, 264, 8560, 9618, 623, 225, 34, 44, 313, 474, 596, 26, 6813, 32, 88, 470, 32, 371, 81, 3274, 81, 998, 26, 1815, 490, 474, 3228, 96, 78, 96, 683, 203, 202, 1821, 81, 761, 440, 264, 8560, 9618, 2876, 225, 34, 44, 313, 474, 596, 26, 6813, 32, 88, 470, 32, 371, 81, 3274, 81, 998, 26, 2700, 490, 474, 3228, 96, 78, 96, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 5, 4, 5, 3, 4, 3, 5, 5, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 6, 8, 8, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 4, 4, 6, 5, 6, 5, 6, 6, 5, 6, 6, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 4, 4, 5, 2, 2, 5, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 6, 7, 7, 7, 6, 2, 2, 3, 3, 3, 5, 6, 6, 6, 5, 3, 3, 7, 7, 7, 9, 9, 10, 10, 9, 4, 4, 7, 7, 7, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 11, 10, 8, 8, 7, 4, 4, 7, 6, 6, 8, 9, 8, 9, 9, 8, 8, 9, 9, 9, 9, 8, 8, 9, 10, 8, 4, 4, 7, 7, 7, 9, 9, 9, 9, 9, 10, 9, 4, 4, 7, 7, 7, 9, 9, 9, 9, 9, 10, 9, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 8, 8, 10, 11, 11, 11, 11, 10, 12, 12, 12, 11, 13, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 10, 6, 6, 8, 8, 12, 13, 13, 13, 12, 11, 11, 11, 10, 6, 6, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 13, 12, 13, 12, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 13, 12, 9, 6, 6, 9, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 17, 16, 17, 17, 15, 16, 16, 16, 16, 16, 15, 16, 15, 10, 10, 13, 13, 13, 12, 4, 4, 7, 7, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 15, 14, 15, 15, 13, 14, 14, 14, 14, 14, 13, 14, 13, 8, 8, 11, 11, 11, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 8, 8, 0, 0, 1, 1, 1, 1, 8, 8, 0, 0, 0, 0, 1, 2, 3, 2, 5, 5, 2, 7, 7, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 9, 9, 9, 1, 1, 1, 1, 1, 9, 9, 0, 0, 1, 1, 1, 0, 0, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 2, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 3, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 465, 1695, 40, 38, 203, 465, 3995, 203, 465, 2322, 203, 465, 17778, 203, 465, 1133, 203, 465, 1933, 203, 1070, 3619, 7147, 1188, 26635, 203, 1070, 18971, 1188, 24014, 30, 1326, 30, 1930, 81, 1986, 203, 1070, 5034, 32, 2282, 1188, 18564, 203, 1070, 5034, 32, 2282, 1188, 25136, 203, 1070, 5034, 32, 2282, 1188, 17539, 203, 1070, 5034, 32, 2282, 1188, 19318, 203, 1070, 5034, 32, 2282, 1188, 5218, 203, 823, 29185, 44, 284, 665, 1156, 1664, 3207, 784, 30, 2575, 2672, 30, 2803, 19066, 711, 291, 630, 32, 1338, 280, 301, 324, 330, 558, 950, 330, 5068, 77, 69, 79, 474, 488, 2554, 370, 324, 330, 4360, 950, 2107, 50, 90, 3902, 92, 34, 107, 1195, 50, 81, 16751, 24378, 1691, 339, 2188, 324, 330, 3234, 950, 2726, 36541, 312, 1913, 77, 101, 79, 7503, 308, 16792, 27, 1510, 883, 526, 1654, 623, 29214, 905, 279, 436, 390, 36, 3919, 20046, 1425, 324, 330, 4220, 25, 499, 2726, 1580, 81, 1786, 1425, 324, 330, 12504, 950, 2107, 2272, 7171, 322, 29214, 905, 279, 7669, 372, 8778, 5218, 645, 488, 2554, 372, 4808, 32, 12630, 3099, 44, 1678, 555, 933, 32, 508, 33, 43064, 1526, 33, 1800, 905, 279, 785, 291, 320, 291, 630, 32, 2184, 280, 301, 324, 330, 558, 25, 499, 301, 400, 330, 3234, 25, 261, 499, 261, 330, 558, 436, 322, 7503, 6418, 400, 330, 5413, 25, 647, 499, 261, 2933, 30, 400, 330, 882, 25, 263, 499, 261, 330, 1110, 91, 25, 324, 801, 324, 330, 3663, 25, 499, 301, 400, 330, 3234, 25, 261, 499, 261, 330, 25891, 33, 2027, 436, 31023, 6418, 400, 330, 5413, 25, 647, 499, 261, 2933, 30, 400, 330, 882, 25, 263, 499, 261, 313, 525, 555, 23, 101, 6069, 101, 20, 904, 308, 8774, 32, 94, 2035, 1026, 225, 42, 34, 27, 324, 801, 324, 330, 3726, 2027, 25, 499, 301, 400, 330, 3234, 25, 261, 499, 261, 330, 1318, 4600, 372, 5111, 372, 544, 322, 3498, 2145, 6418, 400, 330, 5413, 25, 647, 499, 261, 2933, 30, 400, 330, 882, 25, 263, 499, 261, 330, 34, 32, 34, 32, 34, 32, 34, 25, 324, 801, 324, 330, 3437, 25, 499, 301, 400, 330, 3234, 25, 261, 499, 261, 330, 3437, 436, 322, 7503, 6418, 400, 330, 5413, 25, 647, 499, 261, 2933, 30, 400, 330, 882, 25, 263, 499, 264, 42, 34, 324, 801, 324, 330, 43712, 953, 25, 499, 301, 400, 330, 3234, 25, 261, 499, 261, 330, 43712, 1202, 436, 2815, 7669, 7528, 34752, 6418, 400, 330, 5413, 25, 647, 499, 261, 2933, 30, 400, 330, 882, 25, 263, 499, 261, 330, 36, 85, 35, 34, 37, 88, 36, 85, 38, 318, 35, 87, 39, 43, 85, 34, 84, 38, 87, 36, 87, 34, 35, 42, 36, 35, 41, 41, 34, 1919, 25, 324, 801, 324, 330, 2044, 8211, 25, 499, 301, 400, 330, 3234, 25, 261, 499, 261, 330, 6143, 7808, 33, 14708, 1751, 7898, 308, 266, 6791, 547, 370, 400, 330, 5413, 25, 647, 499, 261, 2933, 30, 400, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 10, 10, 8, 8, 11, 11, 11, 11, 7, 7, 10, 10, 8, 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, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 10, 10, 8, 8, 9, 9, 12, 12, 10, 10, 10, 10, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 10, 10, 10, 9, 9, 9, 12, 12, 10, 10, 10, 10, 12, 12, 12, 9, 9, 7, 7, 10, 10, 8, 8, 9, 9, 12, 12, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 10, 10, 10, 9, 9, 9, 12, 12, 10, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 11, 11, 15, 14, 15, 15, 14, 12, 13, 13, 12, 9, 9, 7, 7, 10, 10, 10, 8, 8, 9, 9, 12, 12, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 10, 10, 10, 9, 9, 9, 12, 12, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 10, 10, 8, 8, 9, 9, 12, 12, 10, 10, 10, 10, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 10, 10, 10, 9, 9, 9, 12, 12, 10, 10, 10, 11, 11, 9, 9, 7, 7, 10, 10, 10, 8, 8, 9, 9, 12, 12, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 10, 10, 10, 9, 9, 9, 12, 12, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 10, 10, 10, 8, 8, 9, 9, 12, 12, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 10, 10, 10, 9, 9, 9 ]
[ 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, 0, 7, 7, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 10, 10, 1, 2, 10, 10, 0, 11, 11, 1, 2, 11, 11, 0, 12, 12, 1, 2, 12, 12, 0, 13, 13, 1, 2, 13, 13, 0, 14, 14, 14, 3, 3, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 7, 1, 1, 1, 2, 2, 2, 1, 2, 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, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 1, 2, 5, 5, 5, 5, 1, 1, 2, 2, 2, 2, 2, 1, 2, 3, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 1, 2, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 2, 5, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 1, 2, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 7, 7, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 1, 2, 5, 5, 5, 2, 2, 2, 2, 2, 2, 1, 1, 2, 9, 9, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 1, 2, 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, 2, 2, 2, 2, 2, 1, 1, 2, 11, 11, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2 ]
[ 1070, 21756, 1188, 319, 203, 823, 20886, 2778, 2262, 284, 22788, 1216, 81, 1515, 347, 4045, 81, 1407, 81, 69, 1194, 81, 69, 5108, 32, 15917, 20, 284, 5034, 81, 426, 280, 313, 4045, 81, 1407, 81, 69, 1194, 81, 69, 5108, 20, 284, 3361, 81, 1489, 81, 678, 280, 313, 7021, 3361, 20, 284, 28593, 81, 1489, 81, 678, 280, 313, 23176, 29279, 28593, 20, 284, 3634, 81, 1489, 81, 678, 280, 313, 2429, 40221, 2266, 20, 203, 2050, 81, 2132, 280, 301, 203, 202, 25, 44639, 81, 10391, 31, 38, 950, 21756, 26, 4456, 322, 280, 225, 42, 32, 34, 30, 34081, 15318, 81, 101, 280, 225, 34, 32, 34, 39, 30, 28867, 281, 280, 225, 34, 32, 35, 39, 30, 20216, 559, 35, 280, 225, 34, 32, 35, 30, 29852, 559, 36, 280, 225, 34, 32, 35, 30, 29852, 358, 280, 225, 34, 32, 34, 34, 30, 29852, 11828, 81, 101, 280, 2933, 30, 41690, 11828, 81, 100, 280, 225, 34, 32, 35, 39, 30, 41690, 11828, 81, 86, 280, 225, 34, 32, 34, 42, 30, 41690, 11828, 81, 108, 280, 225, 34, 32, 34, 37, 30, 41690, 28309, 280, 225, 34, 32, 34, 30, 4456, 10639, 35, 280, 225, 34, 32, 35, 36, 30, 4456, 475, 35, 280, 225, 36, 32, 34, 30, 29852, 516, 35, 280, 225, 35, 32, 36, 39, 30, 29852, 516, 280, 225, 36, 32, 35, 30, 20216, 399, 35, 280, 225, 34, 32, 35, 30, 16189, 399, 36, 280, 225, 34, 32, 43, 30, 16189, 323, 280, 225, 34, 32, 35, 30, 16189, 484, 280, 225, 34, 32, 35, 30, 16189, 310, 1082, 280, 225, 35, 40, 30, 31509, 14694, 280, 225, 34, 30, 31509, 484, 6126, 280, 1665, 30, 4456, 26247, 81, 33983, 280, 308, 38, 30, 39, 30, 40, 30, 41, 30, 42, 30, 43, 30, 35, 34, 30, 36, 34, 30, 36, 35, 30, 36, 36, 30, 36, 37, 30, 36, 38, 30, 36, 39, 30, 36, 40, 30, 36, 41, 30, 36, 42, 30, 36, 43, 471, 4456, 3610, 81, 1160, 558, 280, 330, 44639, 81, 10391, 31, 38, 370, 4456, 1542, 558, 280, 330, 44639, 81, 10391, 31, 38, 370, 4456, 11410, 280, 429, 43, 34, 30, 4456, 2588, 284, 330, 2117, 31, 39, 43, 950, 21756, 26, 4456, 322, 280, 225, 42, 32, 34, 30, 34081, 15318, 81, 101, 280, 225, 34, 32, 34, 39, 30, 28867, 281, 280, 225, 34, 32, 35, 39, 30, 20216, 559, 35, 280, 225, 34, 32, 35, 30, 29852, 559, 36, 280, 225, 34, 32, 35, 30, 29852, 358, 280, 225, 34, 32, 34, 34, 30, 29852, 11828, 81, 101, 280, 2933, 30, 41690, 11828, 81, 100, 280, 225, 34, 32, 34, 30, 41690, 11828, 81, 86, 280, 225, 34, 32, 34, 42, 30, 41690, 11828, 81, 108, 280, 225, 34, 32, 34, 37, 30, 41690, 28309, 280, 225, 34, 32, 34, 30, 4456, 10639, 35, 280, 225, 34, 32, 35, 36, 30, 4456, 475, 35, 280, 225, 37, 32, 34, 30, 29852, 516, 35, 280, 225, 35, 32, 40, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 7, 7, 8, 8, 8, 6, 6, 6, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 6, 6, 6, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 8, 7, 7, 6, 6, 6, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 7, 7, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 7, 7, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 6, 6, 6, 7, 7, 8, 8, 8, 6, 6, 6, 7, 7, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 6, 6, 6, 7, 7, 8, 6, 6, 6, 8, 7, 7, 6, 6, 6, 8, 8, 7, 7, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 9, 8, 9, 9, 8, 9, 9, 8, 9, 9, 8, 9, 9, 8, 9, 9, 8, 9, 9, 8, 9, 9, 8, 9, 9, 8, 9, 9, 8, 9, 9, 8, 6, 6, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 6, 6, 8, 7, 7, 9, 9, 9, 9, 9, 9, 6, 6, 7, 7, 9, 9, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 6, 7, 7, 8, 8, 8, 6, 6, 6, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 6, 6, 6, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 8, 7, 7, 6, 6, 6, 8, 8, 7, 7, 8, 8, 8, 6, 6, 6, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 7, 7, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 6, 6, 6, 8, 7, 7, 8, 8, 8, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 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, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 3, 2, 2, 2, 2, 1, 1, 1, 5, 5, 2, 2, 2, 2, 1, 1, 1, 0, 7, 7, 2, 2, 2, 1, 1, 1, 0, 9, 9, 2, 2, 2, 1, 1, 1, 11, 11, 2, 2, 2, 2, 1, 1, 1, 0, 0, 13, 13, 1, 1, 1, 0, 0, 15, 15, 2, 2, 2, 2, 1, 1, 1, 0, 0, 17, 17, 2, 2, 2, 2, 1, 1, 1, 0, 0, 19, 19, 2, 2, 2, 2, 1, 1, 1, 21, 21, 2, 2, 2, 1, 1, 1, 0, 23, 23, 2, 2, 2, 2, 1, 1, 1, 0, 25, 25, 2, 2, 2, 1, 1, 1, 0, 27, 27, 2, 2, 2, 2, 1, 1, 1, 29, 29, 2, 2, 2, 1, 1, 1, 0, 31, 31, 2, 2, 2, 1, 1, 1, 0, 33, 33, 2, 2, 2, 1, 1, 1, 35, 35, 2, 2, 2, 1, 1, 1, 37, 37, 2, 2, 2, 1, 1, 1, 0, 39, 39, 2, 2, 1, 1, 1, 41, 41, 2, 1, 1, 1, 0, 43, 43, 1, 1, 1, 0, 0, 45, 45, 1, 2, 3, 2, 5, 2, 7, 2, 9, 2, 11, 2, 13, 13, 2, 15, 15, 2, 17, 17, 2, 19, 19, 2, 21, 21, 2, 23, 23, 2, 25, 25, 2, 27, 27, 2, 29, 29, 2, 31, 31, 2, 33, 33, 2, 1, 1, 0, 0, 0, 47, 47, 1, 1, 1, 1, 1, 2, 1, 1, 0, 49, 49, 1, 1, 1, 1, 1, 2, 1, 1, 51, 51, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 3, 2, 2, 2, 2, 1, 1, 1, 5, 5, 2, 2, 2, 2, 1, 1, 1, 0, 7, 7, 2, 2, 2, 1, 1, 1, 0, 9, 9, 2, 2, 2, 1, 1, 1, 11, 11, 2, 2, 2, 2, 1, 1, 1, 0, 0, 13, 13, 1, 1, 1, 0, 0, 15, 15, 2, 2, 2, 1, 1, 1, 0, 0, 17, 17, 2, 2, 2, 2, 1, 1, 1, 0, 0, 19, 19, 2, 2, 2, 2, 1, 1, 1, 21, 21, 2, 2, 2, 1, 1, 1, 0, 23, 23, 2, 2, 2, 2, 1, 1, 1, 0, 25, 25, 2, 2, 2, 1, 1, 1, 0, 27, 27, 2, 2, 2, 1 ]
[ 465, 13092, 203, 465, 17993, 81, 2076, 203, 465, 31659, 203, 465, 17993, 81, 2435, 203, 50, 12408, 32, 1826, 32, 104, 40, 203, 50, 12408, 32, 1826, 32, 2035, 81, 29761, 203, 50, 12408, 32, 1826, 32, 479, 83, 81, 2585, 203, 589, 894, 81, 104, 40, 81, 2035, 81, 29761, 81, 7534, 81, 19992, 81, 29761, 81, 1794, 314, 2262, 284, 31659, 32, 858, 81, 5522, 346, 284, 17993, 81, 2435, 32, 1163, 81, 14382, 81, 19838, 463, 37, 34, 34, 34, 403, 33, 37, 34, 370, 330, 37, 34, 34, 34, 403, 35, 31, 37, 34, 34, 34, 403, 35, 34, 683, 284, 17993, 81, 2435, 32, 4898, 81, 1199, 81, 7878, 81, 29761, 463, 14693, 683, 284, 17993, 81, 2435, 32, 890, 81, 1199, 81, 7878, 81, 29761, 463, 14693, 370, 330, 1794, 314, 370, 330, 34, 34, 44, 34, 37, 44, 34, 34, 44, 34, 35, 44, 88, 40, 44, 88, 39, 44, 88, 38, 44, 88, 37, 44, 88, 36, 44, 34, 35, 683, 284, 17993, 81, 2435, 32, 1877, 81, 1199, 81, 7878, 81, 29761, 463, 25560, 40, 81, 19838, 81, 314, 370, 225, 35, 30, 330, 14693, 370, 225, 35, 27, 284, 17993, 81, 2435, 32, 12288, 40, 81, 2468, 81, 1199, 81, 7878, 81, 29761, 463, 37, 34, 34, 34, 403, 35, 370, 330, 2945, 13073, 7243, 330, 14693, 370, 225, 35, 27, 284, 17993, 81, 2435, 32, 890, 81, 1199, 81, 7878, 81, 29761, 463, 14693, 370, 330, 1794, 314, 370, 330, 34, 34, 44, 34, 37, 44, 34, 34, 44, 34, 35, 44, 88, 40, 44, 88, 39, 44, 88, 38, 44, 88, 37, 44, 88, 36, 44, 34, 35, 683, 284, 17993, 81, 2435, 32, 1877, 81, 1199, 81, 7878, 81, 29761, 463, 25560, 40, 81, 19838, 81, 314, 370, 225, 35, 30, 330, 14693, 370, 225, 36, 27, 284, 17993, 81, 2435, 32, 12288, 40, 81, 2468, 81, 1199, 81, 7878, 81, 29761, 463, 37, 34, 34, 34, 403, 36, 370, 330, 2945, 13073, 7243, 330, 14693, 370, 225, 36, 27, 284, 17993, 81, 2435, 32, 4462, 81, 1199, 81, 29761, 463, 14693, 370, 2910, 81, 7815, 47, 1815, 27, 284, 17993, 81, 2435, 32, 1832, 81, 363, 81, 2714, 81, 1163, 81, 2536, 346, 284, 17993, 81, 2435, 32, 1366, 81, 14382, 463, 17416, 2955, 370, 330, 9771, 683, 203, 50, 12408, 32, 1826, 32, 104, 40, 203, 50, 12408, 32, 1826, 32, 2035, 81, 29761, 203, 50, 12408, 32, 1826, 32, 479, 83, 81, 2585, 203, 589, 894, 81, 104, 40, 81, 2035, 81, 29761, 81, 7534, 81, 19992, 81, 29761, 81, 2468, 2262, 284, 31659, 32, 858, 81, 5522, 346, 284, 17993, 81, 2435, 32, 1163, 81, 14382, 81, 19838, 463, 37, 34, 34, 34, 403, 33, 37, 34, 370, 330, 37, 34, 34, 34, 403, 35, 31, 37, 34, 34, 34, 403, 35, 34, 683, 284, 17993, 81, 2435, 32, 4898, 81, 1199, 81, 7878, 81, 29761, 463, 14693, 683, 284, 17993, 81, 2435, 32, 890, 81, 1199, 81, 7878, 81, 29761, 463, 14693, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 2, 5, 4, 5, 3, 4, 4, 1, 2, 5, 4, 5, 3, 4, 4, 4, 1, 2, 5, 4, 5, 3, 4, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 7, 7, 7, 6, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 6, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 6, 7, 6, 6, 8, 8, 6, 7, 6, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 6, 8, 8, 6, 7, 6, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 6, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 6, 7, 6, 6, 8, 8, 6, 7, 6, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 6, 8, 8, 6, 7, 6, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 6, 8, 8, 6, 8, 8, 7, 8, 6, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 3, 3, 7, 7, 6, 7, 7, 7, 6, 8, 8, 8, 6, 8, 8, 0, 2, 5, 4, 5, 3, 4, 4, 1, 2, 5, 4, 5, 3, 4, 4, 4, 1, 2, 5, 4, 5, 3, 4, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 7, 7, 7, 6, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 3, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 4, 1, 0, 0, 2, 1, 2, 2, 2, 4, 2, 0, 0, 2, 1, 2, 2, 2, 2, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 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, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 7, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 7, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 7, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 7, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 5, 1, 0, 0, 2, 1, 2, 2, 2, 5, 2, 0, 0, 2, 1, 2, 2, 2, 2, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 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, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2 ]
[ 465, 5237, 203, 465, 22977, 203, 465, 2322, 203, 465, 6314, 203, 465, 316, 203, 465, 45301, 983, 203, 465, 8529, 761, 203, 465, 13539, 761, 203, 465, 16539, 203, 465, 1344, 4071, 203, 1070, 10773, 32, 11452, 1188, 14444, 924, 30, 11074, 2019, 30, 447, 639, 924, 203, 1070, 10773, 32, 21752, 8524, 1188, 26, 2839, 924, 30, 802, 81, 2516, 30, 5081, 81, 1131, 30, 1378, 2549, 81, 452, 81, 466, 30, 1256, 81, 2851, 30, 11123, 924, 27, 203, 1070, 10773, 32, 13471, 1188, 4755, 81, 5043, 30, 3974, 81, 8491, 81, 44618, 30, 41483, 81, 1347, 81, 3264, 203, 1070, 10773, 32, 751, 1188, 4082, 203, 1070, 10773, 1114, 7980, 1188, 12870, 81, 5379, 203, 1070, 10773, 1114, 7980, 32, 2452, 1356, 1188, 1503, 203, 505, 464, 505, 280, 2107, 100, 41718, 370, 330, 2751, 81, 983, 370, 330, 10181, 81, 1515, 370, 2607, 330, 1809, 81, 2501, 370, 330, 912, 370, 330, 7559, 370, 2607, 330, 12944, 81, 426, 370, 330, 48271, 370, 2607, 330, 1643, 81, 891, 370, 330, 297, 81, 3789, 444, 81, 1515, 370, 2607, 330, 297, 81, 19370, 81, 1637, 370, 330, 761, 81, 8078, 370, 2607, 330, 2998, 81, 28103, 81, 1515, 370, 330, 2040, 81, 28103, 81, 1515, 370, 2607, 330, 2682, 81, 983, 81, 9535, 370, 330, 12944, 81, 983, 370, 2607, 330, 268, 4243, 370, 330, 371, 81, 16914, 81, 891, 370, 330, 371, 81, 15446, 370, 2607, 330, 38511, 81, 761, 370, 330, 574, 282, 81, 761, 370, 330, 1297, 81, 4984, 81, 2613, 81, 6175, 370, 2607, 330, 2613, 81, 4984, 370, 330, 15404, 81, 761, 370, 330, 1851, 81, 27958, 785, 203, 589, 622, 81, 15446, 2262, 284, 1596, 44, 291, 415, 2322, 32, 983, 32, 15705, 26, 3731, 32, 6118, 77, 34, 1130, 328, 2726, 505, 1831, 9818, 978, 370, 6470, 85, 7831, 324, 442, 5461, 101, 429, 95, 10773, 20, 904, 5237, 32, 21823, 284, 2940, 308, 2212, 924, 30, 12678, 30, 44121, 711, 291, 3097, 284, 442, 330, 9060, 25, 203, 589, 540, 41718, 26, 1515, 30, 5079, 81, 4275, 47, 2700, 711, 284, 22977, 32, 100, 41718, 26, 1515, 30, 5079, 81, 4275, 47, 3617, 81, 4275, 30, 1750, 544, 731, 47, 100, 41718, 81, 731, 4531, 27, 203, 589, 540, 41718, 81, 731, 4531, 26, 1298, 30, 1519, 30, 13489, 81, 1338, 711, 284, 538, 12758, 30, 786, 280, 13489, 81, 1338, 2867, 36, 79, 284, 415, 646, 1833, 327, 12758, 438, 23850, 461, 786, 32, 1132, 77, 34, 79, 610, 225, 39, 27, 556, 4288, 308, 327, 12758, 438, 546, 21887, 461, 786, 32, 1132, 77, 34, 79, 610, 225, 35, 37, 27, 556, 4288, 308, 327, 12758, 438, 11123, 924, 461, 786, 32, 1132, 77, 37, 79, 610, 225, 39, 27, 4288, 8063, 291, 3636, 284, 415, 1833, 500, 32, 4597, 26, 983, 547, 270, 81, 2816, 549, 6314, 32, 69, 81, 59, 4409, 27, 863, 6314, 32, 69, 81, 59, 4409, 711, 291, 3636, 284, 2322, 32, 26030, 26, 983, 30, 6314, 32, 69, 81, 59, 3214, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 3, 5, 9, 10, 8, 9, 8, 11, 10, 11, 9, 10, 9, 6, 6, 9, 9, 9, 9, 9, 7, 9, 9, 5, 5, 7, 10, 10, 10, 10, 10, 8, 8, 9, 10, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 4, 4, 2, 2, 3, 5, 5, 0, 1, 1, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 6, 6, 5, 6, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 7, 6, 7, 7, 7, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 6, 5, 5, 4, 4, 6, 6, 5, 7, 5, 2, 2, 3, 4, 11, 11, 10, 10, 9, 9, 12, 13, 11, 12, 11, 10, 10, 11, 8, 7, 7, 7, 11, 11, 10, 10, 11, 9, 9, 12, 13, 11, 12, 11, 10, 10, 11, 11, 8, 6, 6, 6, 10, 10, 9, 9, 10, 8, 8, 11, 12, 10, 11, 10, 9, 9, 10, 7, 5, 5, 3, 3, 2, 2, 3, 11, 10, 11, 10, 11, 10, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 6, 5, 5, 6, 7, 7, 7, 7, 4, 3, 3, 2, 2, 5, 6, 5, 6, 5, 5, 6, 7, 7, 7, 7, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 8, 8, 0, 9, 9, 0, 0, 10, 10, 1, 2, 10, 10, 0, 10, 10, 0, 10, 10, 0, 0, 0, 11, 11, 1, 2, 2, 11, 11, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 11, 11, 11, 0, 0, 0, 0, 11, 11, 0, 0, 11, 11, 0, 11, 0, 12, 12, 1, 2, 12, 12, 0, 0, 12, 12, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 13, 13, 1, 2, 13, 13, 0, 14, 14, 1, 2, 14, 14, 0, 0, 0, 15, 15, 1, 2, 1, 4, 4, 15, 15, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 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, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 17, 17, 1, 1, 2, 17, 17, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 1, 1, 2, 0, 18, 18, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 18, 18, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 5, 2, 2, 2, 2, 2, 1, 0, 19, 19, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 19, 19, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 4, 4, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1 ]
[ 465, 1671, 203, 465, 36252, 203, 1070, 8527, 32, 1262, 32, 2536, 1188, 2032, 203, 823, 4361, 974, 26, 974, 711, 284, 665, 617, 371, 81, 1644, 26, 784, 711, 291, 442, 630, 1114, 371, 81, 893, 81, 18979, 8532, 34, 79, 284, 1861, 280, 2804, 2176, 371, 81, 1644, 27, 284, 665, 617, 371, 81, 2273, 26, 784, 711, 291, 442, 630, 1114, 371, 81, 893, 81, 18979, 8532, 35, 79, 284, 2384, 280, 2804, 2176, 371, 81, 2273, 27, 284, 665, 617, 371, 81, 893, 81, 18979, 26, 784, 711, 291, 415, 646, 19326, 26, 784, 30, 7610, 18979, 81, 2613, 7831, 324, 4230, 280, 630, 32, 10687, 324, 630, 32, 1676, 346, 324, 630, 1114, 18979, 81, 2613, 280, 622, 81, 893, 81, 18979, 26, 784, 30, 4230, 47, 2679, 27, 291, 442, 630, 1114, 18979, 81, 2613, 203, 589, 622, 81, 893, 81, 18979, 26, 761, 81, 271, 81, 983, 30, 4230, 47, 2700, 711, 284, 645, 35381, 1188, 4361, 974, 619, 447, 335, 741, 1658, 974, 284, 298, 280, 447, 335, 741, 1658, 974, 32, 2825, 346, 284, 415, 19326, 26, 761, 81, 271, 81, 983, 30, 330, 850, 7831, 291, 803, 280, 803, 81, 271, 81, 983, 291, 803, 81, 966, 280, 803, 32, 27787, 346, 291, 803, 32, 14408, 26, 34, 27, 284, 813, 44, 291, 803, 280, 2156, 26, 761, 81, 271, 81, 983, 30, 330, 4506, 683, 291, 4230, 280, 2933, 284, 1596, 44, 291, 7311, 81, 891, 280, 225, 35, 34, 36, 38, 291, 2218, 225, 35, 44, 324, 706, 280, 803, 32, 850, 26, 7190, 81, 891, 27, 324, 415, 646, 706, 44, 400, 1626, 324, 1596, 44, 400, 298, 32, 6528, 26, 605, 27, 324, 2940, 36252, 32, 731, 619, 484, 44, 400, 415, 484, 32, 1132, 77, 34, 997, 15990, 440, 924, 429, 39, 10280, 528, 3097, 400, 813, 44, 528, 3636, 324, 2940, 1671, 32, 731, 44, 400, 3097, 324, 415, 298, 32, 893, 44, 400, 442, 298, 32, 893, 32, 891, 324, 7311, 81, 891, 10439, 225, 36, 291, 442, 308, 2521, 30, 1665, 27, 284, 8295, 44, 291, 415, 4230, 44, 324, 803, 32, 2679, 346, 291, 813, 44, 324, 803, 32, 14408, 26, 761, 81, 966, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 9, 9, 8, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 9, 9, 8, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 9, 8, 8, 10, 10, 10, 10, 5, 5, 8, 8, 9, 10, 6, 6, 9, 10, 9, 6, 6, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 11, 10, 10, 11, 12, 10, 4, 4, 5, 6, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 4, 2, 1, 1, 3, 3, 3, 6, 4, 4, 5, 5, 5, 5, 2, 2, 4, 4, 7, 7, 7, 7, 6, 7, 6, 2, 2, 3, 5, 6, 6, 6, 6, 6, 5, 5, 7, 7, 3, 3, 6, 6, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 3, 3, 4, 4, 4, 7, 7, 9, 10, 10, 10, 10, 10, 9, 9, 11, 11, 5, 5, 7, 7, 2, 2, 3, 3, 3, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 5, 6, 5, 5, 5, 8, 8, 10, 11, 10, 11, 11, 11, 10, 6, 6, 7, 8, 7, 7, 7, 6, 6, 7, 7, 7, 11, 12, 11, 12, 11, 7, 7, 8, 10, 11, 9, 9, 8, 8, 8, 10, 14, 15, 13, 14, 13, 13, 12, 14, 14, 14, 14, 10, 10, 10, 10, 11, 11, 11, 7, 7, 8, 9, 10, 8, 8, 8, 6, 6, 7, 8, 9, 7, 7, 7, 9, 11, 12, 10, 11, 6, 6, 9, 9, 8, 8, 9, 4, 4, 5, 7, 6, 6, 6, 3, 3, 4, 4, 4, 6, 6, 6, 6, 10, 11, 10, 6, 6, 7, 7, 7, 11, 12, 11, 12, 12, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 3, 3, 0, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 1, 2, 2, 2, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 4, 4, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 3, 0, 2, 1, 1, 3, 3, 3, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 4, 4, 4, 2, 2, 4, 1, 2, 4, 4, 4, 3, 3, 3, 1, 2, 3, 3, 3, 0, 0, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 4, 4, 4, 0, 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 ]
[ 465, 1133, 203, 465, 6436, 203, 1070, 3619, 8418, 25746, 32, 1356, 2755, 1188, 506, 72, 1744, 203, 465, 11685, 203, 465, 22564, 203, 465, 36261, 38, 978, 32, 15897, 619, 36261, 203, 823, 506, 72, 1959, 44, 284, 665, 1156, 1664, 3207, 784, 30, 5166, 30, 12389, 30, 12041, 711, 291, 630, 32, 1251, 81, 11832, 280, 5166, 291, 630, 32, 11672, 280, 12041, 291, 630, 32, 14632, 280, 12389, 291, 630, 32, 2435, 81, 27611, 280, 1665, 291, 630, 32, 941, 29498, 280, 1665, 291, 630, 32, 26041, 81, 11672, 280, 1665, 291, 630, 32, 5854, 81, 1322, 280, 1665, 291, 630, 32, 4157, 58, 280, 1665, 291, 630, 32, 2050, 11519, 280, 1665, 291, 630, 32, 1449, 64, 6193, 90, 280, 1665, 291, 630, 32, 1696, 11519, 280, 1665, 291, 630, 32, 541, 45739, 280, 1665, 291, 630, 32, 541, 14522, 280, 1665, 284, 665, 617, 32562, 81, 2304, 26, 784, 30, 456, 57, 11519, 30, 9541, 47, 2700, 711, 291, 19757, 280, 36261, 32, 6283, 81, 28615, 291, 11263, 280, 19757, 32, 936, 81, 6557, 346, 291, 18042, 1003, 280, 1133, 32, 9100, 346, 291, 44687, 81, 11273, 30, 44687, 81, 11672, 280, 22564, 32, 26041, 267, 8497, 26, 784, 32, 1251, 81, 11832, 27, 291, 415, 11263, 610, 225, 34, 461, 9541, 44, 324, 1459, 313, 429, 1968, 322, 21353, 267, 8497, 21146, 3003, 1133, 32, 9100, 346, 429, 18042, 1003, 291, 18042, 1003, 280, 1133, 32, 9100, 346, 291, 630, 32, 2435, 81, 27611, 30, 630, 32, 941, 29498, 30, 630, 32, 26041, 81, 11672, 30, 766, 291, 630, 32, 5854, 81, 1322, 30, 1769, 64, 6193, 3914, 280, 506, 72, 1744, 32, 1285, 4834, 9536, 32, 1832, 26, 766, 1802, 456, 57, 11519, 29, 35, 30, 630, 32, 1696, 11519, 29, 35, 30, 630, 32, 1251, 81, 11832, 6894, 34, 614, 630, 32, 1251, 81, 11832, 6894, 35, 614, 324, 630, 32, 11672, 6894, 44, 36, 6155, 35, 30, 630, 32, 14632, 6894, 44, 37, 6155, 35, 30, 44687, 81, 11273, 6894, 34, 614, 44687, 81, 11273, 6894, 35, 614, 766, 324, 44687, 81, 11672, 6894, 44, 36, 6155, 35, 27, 291, 415, 11263, 610, 225, 34, 461, 9541, 44, 324, 1459, 313, 429, 8520, 10378, 659, 18680, 10293, 3003, 1133, 32, 9100, 346, 429, 18042, 1003, 291, 1769, 64, 6193, 90, 280, 6436, 32, 955, 26, 1449, 64, 6193, 3914, 27, 291, 19757, 32, 1934, 8920, 26, 17194, 32, 521, 81, 15302, 30, 1449, 64, 6193, 90, 30, 520, 47, 17194, 32, 3459, 27, 291, 630, 32, 1449, 64, 6193, 90, 280, 1769, 64, 6193, 90, 284, 665, 617, 20646, 81, 57, 11519, 26, 784, 30, 456, 57, 11519, 711, 291, 19757, 280, 36261, 32, 6283, 81, 28615, 291, 29065, 280, 456, 57, 11519, 32, 15315, 26, 10337, 32, 410, 37, 36, 27, 291, 485, 3631, 280, 29065, 77, 784, 32, 1696, 11519, 79, 291, 2196, 45739, 21593, 280, 2069, 26, 89, 3631, 27, 291, 1417, 94, 11519, 21593, 280, 19757, 32, 464, 20646, 26, 1696, 45739, 21593, 27, 291, 4166, 57, 11519, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 8, 8, 7, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 7, 7, 8, 6, 6, 5, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 10, 11, 10, 8, 8, 9, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 8, 9, 9, 9, 7, 7, 8, 9, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 7, 8, 9, 9, 9, 7, 7, 8, 8, 8, 6, 6, 10, 10, 9, 10, 10, 10, 8, 9, 8, 8, 9, 8, 10, 10, 9, 10, 8, 8, 10, 11, 11, 9, 10, 8, 8, 10, 11, 11, 11, 9, 10, 9, 8, 10, 11, 11, 11, 9, 10, 9, 8, 8, 11, 12, 10, 11, 12, 10, 10, 8, 8, 11, 12, 10, 11, 12, 10, 10, 8, 8, 10, 10, 9, 10, 9, 8, 10, 10, 9, 10, 9, 8, 9, 8, 11, 11, 10, 11, 12, 10, 10, 8, 4, 4, 5, 7, 7, 8, 6, 6, 5, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 11, 10, 8, 8, 9, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 7, 9, 8, 9, 9, 9, 7, 8, 8, 8, 8, 7, 9, 8, 10, 9, 10, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 6, 6, 7, 9, 8, 9, 9, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 2, 1, 1, 0, 6, 6, 1, 1, 6, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 4, 0, 0, 2, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 3, 3, 2, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 4, 2, 2, 2, 0, 0, 6, 0, 7, 2, 2, 2, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 4, 2, 1, 1, 0, 2, 2, 2, 6, 4, 6, 1, 0, 2, 2, 2, 8, 4, 8, 1, 1, 0, 2, 0, 4, 1, 0, 2, 1, 1, 0, 2, 0, 4, 1, 0, 2, 1, 1, 0, 0, 14, 4, 14, 1, 0, 0, 16, 4, 16, 1, 18, 1, 0, 0, 0, 4, 1, 0, 2, 1, 4, 4, 7, 0, 0, 2, 1, 1, 7, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 3, 3, 1, 0, 5, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 3, 3, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 505, 2077, 505, 261, 280, 330, 21181, 354, 37, 25, 203, 505, 11794, 505, 280, 330, 36, 34, 35, 34, 30, 1224, 1538, 314, 7645, 31214, 333, 45991, 314, 50, 45991, 314, 1704, 31214, 32, 1299, 6457, 203, 505, 1427, 1643, 505, 280, 330, 268, 25120, 878, 931, 25, 203, 465, 2322, 203, 1070, 1619, 1356, 1188, 13734, 203, 1070, 2182, 930, 268, 32, 27297, 1188, 2032, 620, 4152, 203, 589, 438, 81, 508, 295, 26, 668, 81, 1028, 81, 4243, 711, 284, 11581, 280, 739, 2009, 106, 32, 100, 11458, 36909, 6448, 35, 997, 5729, 346, 436, 816, 328, 1149, 81, 1028, 81, 4243, 2855, 415, 18491, 328, 816, 461, 816, 32, 5729, 922, 100, 11458, 24667, 6448, 35, 79, 863, 330, 41868, 32, 1199, 3490, 284, 767, 295, 81, 9081, 280, 739, 4901, 3072, 370, 330, 10561, 370, 330, 1645, 3490, 284, 442, 2069, 26, 9081, 429, 767, 295, 81, 9081, 27, 610, 225, 34, 203, 589, 13600, 81, 681, 26, 2238, 711, 284, 645, 2182, 930, 268, 32, 2304, 32, 3969, 761, 1188, 802, 974, 2644, 284, 1596, 44, 291, 3400, 280, 3443, 32, 27787, 346, 284, 2940, 44, 291, 3400, 280, 225, 34, 284, 804, 81, 280, 3443, 32, 850, 26, 38, 27, 284, 12121, 280, 1665, 284, 415, 804, 81, 610, 802, 974, 2644, 44, 291, 12121, 280, 330, 3969, 25, 284, 4348, 804, 3133, 15990, 463, 68, 282, 7831, 291, 12121, 280, 330, 15579, 25, 284, 1596, 44, 291, 3443, 32, 14408, 26, 966, 27, 284, 2940, 44, 291, 3097, 284, 442, 12121, 203, 823, 28972, 10067, 26, 18811, 4152, 711, 284, 636, 280, 330, 13805, 15218, 25, 284, 4081, 280, 330, 61, 1538, 314, 7645, 31214, 25, 284, 3048, 280, 30121, 10067, 4942, 484, 31, 2609, 15477, 645, 13600, 2276, 330, 291, 15584, 29612, 33, 68, 783, 547, 8669, 1596, 372, 7120, 402, 102, 412, 415, 2953, 884, 6723, 330, 291, 330, 5411, 76, 33, 53, 4758, 2276, 11834, 284, 803, 81, 2516, 280, 739, 4901, 3969, 370, 330, 15579, 3490, 284, 5420, 81, 31029, 280, 2107, 5910, 370, 330, 22330, 370, 330, 4783, 785, 284, 544, 81, 465, 280, 2933, 284, 665, 1420, 26, 784, 30, 13600, 711, 291, 645, 2182, 930, 268, 32, 2304, 32, 3969, 761, 1188, 23040, 974, 291, 438, 81, 15579, 280, 13600, 32, 5729, 922, 20643, 3949, 15579, 683, 291, 415, 438, 81, 15579, 44, 324, 645, 2182, 930, 268, 32, 2304, 32, 311, 15579, 1188, 6571, 81, 3656, 30, 4467, 291, 813, 44, 324, 1288, 88, 280, 23040, 974, 26, 8929, 30, 330, 100, 683, 291, 415, 438, 81, 15579, 44, 324, 296, 4243, 280, 1149, 26, 4243, 26, 8929, 490, 291, 813, 44, 324, 296, 4243, 280, 1288, 88, 32, 426, 668, 346, 291, 665, 18146, 81, 1253, 26, 10555, 711, 324, 29614, 280, 2322, 32, 983, 32, 15705, 26, 10555, 547, 5729, 346, 324, 415, 29614, 610, 330, 41868, 32, 1199, 950, 400, 442, 3177, 324, 415, 18491, 646, 328, 29614, 44, 400, 442, 3177, 324, 415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6, 13, 12, 13, 13, 12, 10, 12, 10, 10, 9, 7, 8, 8, 8, 9, 9, 9, 9, 7, 7, 8, 10, 10, 9, 9, 15, 16, 15, 14, 14, 13, 11, 13, 11, 10, 10, 12, 12, 12, 12, 2, 2, 5, 5, 5, 4, 4, 6, 9, 9, 7, 9, 9, 7, 9, 9, 2, 2, 3, 6, 8, 7, 7, 8, 8, 8, 6, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 4, 5, 4, 5, 5, 3, 3, 5, 5, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 3, 3, 4, 4, 4, 7, 7, 8, 2, 2, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 4, 4, 2, 2, 3, 5, 4, 4, 5, 5, 3, 3, 3, 6, 6, 8, 8, 3, 3, 4, 7, 7, 6, 8, 8, 8, 4, 4, 7, 7, 9, 9, 2, 2, 3, 3, 3, 7, 8, 7, 8, 7, 3, 3, 4, 4, 4, 2, 2, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 9, 9, 7, 9, 9, 2, 2, 5, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 7, 6, 7, 6, 7, 7, 5, 5, 7, 4, 4, 7, 7, 6, 6, 10, 11, 10, 9, 8, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 9, 8, 9, 8, 9, 9, 7, 7, 9, 9, 7, 7, 5, 5, 6, 6, 6, 10, 9, 9, 11, 11, 12, 11, 11, 13, 13, 4, 4, 5, 6, 6, 5, 5, 5, 9, 8, 8, 10, 12, 12, 13, 12, 5, 5, 6, 6, 6, 10, 9, 9, 12, 11, 12, 12, 11, 4, 4, 5, 6, 6, 6, 7, 6, 5, 5, 8, 8, 13, 14, 12, 13, 12, 13, 12, 11, 10, 6, 6, 7, 8, 8, 10, 10, 10, 10, 7, 7, 9, 6, 6, 7, 8, 8, 8, 7, 7, 7, 9, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 3, 3, 3, 3, 1, 1, 3, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 4, 0, 1, 1, 2, 2, 4, 4, 4, 0, 0, 1, 2, 4, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 5, 5, 5, 0, 2, 1, 1, 1, 5, 5, 3, 3, 3, 4, 4, 6, 0, 9, 9, 1, 2, 1, 1, 2, 9, 9, 0, 0, 1, 1, 2, 4, 4, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 6, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 0, 1, 0, 1, 1, 1, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 4, 4 ]
[ 1567, 3711, 1188, 319, 203, 1070, 456, 1421, 81, 605, 81, 681, 1188, 5597, 7167, 203, 21, 22773, 203, 589, 1459, 81, 2665, 26, 86, 853, 328, 343, 32, 3028, 2262, 284, 30388, 21, 203, 823, 17446, 20768, 2551, 26, 20768, 2551, 711, 284, 1524, 284, 17446, 10188, 3646, 9048, 2554, 44159, 664, 6207, 284, 225, 17755, 24042, 6338, 24446, 20648, 275, 630, 32, 784, 3667, 2403, 314, 280, 225, 34, 291, 588, 225, 17811, 16699, 15153, 12656, 15646, 81, 2895, 280, 4247, 291, 630, 3667, 17486, 314, 280, 4247, 291, 588, 37106, 32, 468, 42365, 17646, 15541, 3382, 78, 954, 3841, 1121, 17756, 10224, 15541, 17571, 9114, 13325, 1121, 33137, 4999, 46569, 334, 343, 346, 474, 17276, 954, 3841, 1736, 683, 284, 588, 7985, 284, 665, 544, 10112, 11877, 26, 784, 711, 291, 1524, 16422, 15646, 2993, 291, 1692, 280, 3903, 26, 681, 37657, 8055, 81, 3602, 27, 664, 27114, 16991, 21253, 5011, 3939, 37540, 8976, 8976, 1121, 8978, 17493, 40849, 15646, 291, 415, 630, 3667, 18267, 44, 3083, 3616, 710, 18239, 779, 785, 280, 630, 3667, 17486, 314, 324, 630, 3667, 2403, 314, 280, 630, 3667, 268, 261, 588, 5877, 31, 10065, 665, 544, 10112, 38736, 26, 784, 30, 310, 711, 291, 1524, 16422, 12879, 6209, 2993, 291, 1692, 280, 3903, 26, 681, 37657, 8055, 81, 3602, 27, 291, 1692, 32, 2665, 81, 710, 751, 785, 280, 1044, 25, 3646, 9048, 16422, 15646, 12879, 6209, 25, 203, 9529, 6736, 3701, 665, 544, 22364, 32836, 5711, 26, 784, 30, 310, 711, 291, 1524, 11907, 25005, 14831, 25536, 2993, 291, 588, 225, 17432, 2554, 1077, 11907, 25005, 14831, 25536, 26455, 8417, 9288, 32540, 1121, 15366, 8923, 2554, 17827, 24529, 3047, 4990, 1121, 25476, 14115, 46891, 18553, 291, 3097, 284, 588, 22773, 27218, 665, 544, 36798, 924, 26, 784, 30, 1048, 30, 310, 30, 9102, 280, 1044, 25, 3646, 9048, 14391, 5622, 14831, 1121, 14391, 10956, 3087, 25, 474, 15390, 26, 731, 710, 924, 779, 3490, 540, 5782, 710, 40745, 5695, 5460, 463, 6193, 93, 683, 291, 1692, 32, 2665, 81, 710, 751, 785, 280, 1245, 291, 630, 3667, 1567, 3711, 32, 524, 26, 1567, 27, 284, 588, 1106, 7234, 30, 310, 30, 2401, 711, 291, 1524, 12768, 35662, 5622, 14831, 2993, 291, 1692, 280, 81, 3602, 27, 275, 1245, 280, 1044, 25, 12768, 35662, 5622, 14831, 1121, 14391, 10956, 3087, 25, 474, 13994, 683, 291, 1692, 32, 2665, 81, 710, 751, 785, 280, 1245, 284, 485, 482, 32, 524, 26, 1567, 27, 291, 588, 225, 7759, 12650, 5044, 17493, 17755, 24042, 24416, 16991, 17755, 24042, 5726, 1077, 6338, 24446, 291, 415, 630, 3667, 470, 1721, 14964, 44, 324, 436, 16895, 328, 630, 3667, 470, 1721, 14964, 44, 400, 630, 32, 7764, 26, 17960, 77, 34, 614, 16895, 77, 35, 1130, 291, 630, 32, 7764, 463, 39, 35, 34, 34, 39, 34, 370, 330, 23214, 683, 291, 15148, 3701, 665, 544, 36798, 1240, 21628, 26, 784, 30, 706, 30, 1048, 30, 310, 30, 225, 12768, 4876, 5622, 14831, 2993, 291, 1692, 280, 3903, 26, 681, 37657, 8055, 81, 3602, 27, 291, 415, 1048 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 0, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 3, 3, 4, 3, 0, 0, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 3, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 3, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 0, 0, 4, 0, 5, 5, 1, 1, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15684, 32, 7954, 278, 1188, 319, 203, 589, 6793, 26, 31060, 711, 284, 3097, 203, 823, 17776, 2374, 8696, 3196, 26, 27090, 278, 711, 284, 665, 894, 81, 5020, 81, 1028, 81, 278, 81, 2951, 81, 668, 81, 297, 81, 6158, 26, 784, 711, 291, 630, 32, 5299, 26, 34, 30, 6793, 7486, 490, 284, 665, 894, 81, 5020, 81, 1028, 81, 83, 81, 6270, 81, 1019, 81, 1028, 81, 39, 81, 297, 81, 39, 34, 26, 784, 711, 291, 630, 32, 5299, 26, 39, 34, 30, 6793, 2009, 39, 5259, 284, 665, 894, 81, 5020, 81, 1028, 81, 83, 81, 6270, 81, 1019, 81, 1028, 81, 35, 81, 297, 81, 35, 34, 34, 26, 784, 711, 291, 630, 32, 5299, 26, 35, 34, 34, 30, 6793, 2009, 35, 5259, 284, 665, 894, 81, 5020, 81, 1028, 81, 12565, 81, 35, 101, 81, 363, 81, 39, 101, 81, 297, 81, 1382, 81, 1036, 81, 1028, 81, 27797, 81, 13806, 26, 784, 711, 291, 630, 32, 5299, 26, 37, 34, 34, 30, 6793, 2009, 35, 30, 39, 30, 39, 30, 35, 5259, 284, 665, 894, 81, 5020, 81, 1028, 81, 6270, 81, 36, 101, 81, 37, 101, 81, 38, 101, 81, 363, 81, 40, 101, 81, 586, 81, 6158, 26, 784, 711, 291, 630, 32, 5299, 26, 34, 30, 6793, 2009, 36, 30, 37, 30, 38, 30, 40, 5259, 284, 665, 894, 81, 5020, 81, 1028, 81, 83, 81, 31160, 81, 35, 81, 297, 81, 35, 34, 34, 34, 26, 784, 711, 291, 630, 32, 5299, 26, 35, 34, 34, 34, 30, 6793, 2009, 35, 30, 35, 30, 35, 5259, 284, 665, 894, 81, 5020, 81, 1028, 81, 2455, 81, 47588, 81, 297, 81, 35, 34, 34, 106, 26, 784, 711, 291, 630, 32, 5299, 26, 36, 34, 34, 30, 6793, 2009, 36, 30, 36, 30, 36, 5259, 291, 630, 32, 5299, 26, 37, 34, 34, 30, 6793, 2009, 37, 30, 37, 30, 37, 5259, 291, 630, 32, 5299, 26, 38, 34, 34, 30, 6793, 2009, 38, 30, 38, 30, 38, 5259, 291, 630, 32, 5299, 26, 39, 34, 34, 30, 6793, 2009, 39, 30, 39, 30, 39, 5259, 291, 630, 32, 5299, 26, 40, 34, 34, 30, 6793, 2009, 40, 30, 40, 30, 40, 5259, 284, 665, 894, 81, 5020, 81, 1028, 81, 20810, 81, 297, 81, 1036, 26, 784, 711, 291, 630, 32, 5299, 26, 36, 39, 34, 30, 6793, 2009, 36, 30, 39, 30, 36, 30, 36, 30, 37, 5259, 291, 630, 32, 5299, 26, 39, 39, 34, 30, 6793, 2009, 39, 30, 39, 30, 39, 30, 39, 5259, 291, 630, 32, 5299, 26, 35, 35, 39, 34, 30, 6793, 2009, 35, 30, 35, 30, 35, 30, 39, 30, 35, 5259, 284, 665, 894, 81, 5783, 81, 1206, 81, 1873, 81, 541, 26, 784, 711, 291, 630, 32, 5299, 26, 37, 34, 34, 30, 6793, 2009, 35, 30, 36, 30, 36, 30, 36, 5259, 291, 630, 32, 5299, 26, 37, 39, 34, 30, 6793, 2009, 35, 30, 39, 30, 36, 30, 36, 30, 36, 5259, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 7, 7, 9, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 11, 10, 11, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 11, 10, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 11, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 10, 11, 10, 11, 10, 11, 10, 11, 10, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 7, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 7, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 7, 1, 9, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 7, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 7, 1, 9, 1, 4, 4, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 7, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 7, 1, 9, 1, 0, 0, 0, 0 ]
[ 1070, 743, 15634, 1188, 5788, 203, 1070, 35674, 32, 35296, 32, 2282, 32, 1170, 1188, 4517, 203, 1070, 35674, 32, 35296, 32, 3592, 1188, 2799, 81, 8425, 619, 13486, 203, 1070, 35674, 32, 35296, 32, 3592, 32, 1613, 1188, 6608, 203, 1070, 35674, 32, 35296, 32, 3592, 32, 1684, 1188, 43244, 6485, 203, 1070, 1123, 32, 12329, 1188, 623, 81, 35156, 203, 1070, 1123, 32, 29676, 1188, 319, 203, 1840, 6636, 6485, 37326, 280, 225, 39, 203, 589, 1983, 81, 452, 81, 1055, 2262, 284, 1256, 81, 426, 280, 313, 6380, 50, 873, 91, 32, 20667, 20, 284, 3882, 280, 313, 6380, 35, 36, 37, 20, 284, 5788, 32, 7128, 32, 371, 26, 873, 91, 81, 20667, 81, 965, 27, 284, 1596, 44, 291, 2290, 81, 2543, 26, 699, 81, 1495, 547, 2714, 81, 3494, 26, 496, 81, 426, 27, 291, 2290, 81, 2543, 26, 2895, 81, 1495, 547, 2714, 81, 3494, 26, 2895, 27, 291, 2290, 81, 2543, 26, 3615, 81, 1640, 547, 2942, 346, 284, 2940, 44, 291, 3097, 284, 2290, 81, 2543, 440, 338, 32, 2172, 44, 15991, 31, 2661, 26, 35, 27, 848, 1024, 44, 15991, 31, 2661, 26, 35, 27, 848, 312, 44, 15991, 31, 2661, 26, 35, 14451, 203, 589, 622, 81, 4189, 2262, 284, 2192, 81, 2543, 280, 6608, 26, 1809, 81, 2543, 26, 4189, 81, 7449, 490, 284, 442, 2192, 81, 2543, 32, 2232, 81, 4347, 81, 1762, 32, 878, 203, 589, 1539, 81, 4189, 26, 23777, 81, 4189, 711, 284, 2192, 81, 2543, 280, 6608, 26, 1809, 81, 2543, 26, 4189, 81, 7449, 490, 284, 2192, 81, 2543, 32, 1613, 81, 1170, 81, 7891, 81, 878, 26, 23777, 81, 4189, 27, 203, 589, 20641, 2262, 284, 2290, 81, 2543, 26, 12646, 81, 1640, 547, 2942, 346, 203, 589, 2290, 81, 7594, 26, 9003, 711, 284, 442, 5788, 32, 7128, 32, 1809, 81, 7594, 81, 1170, 81, 2079, 81, 9003, 26, 9003, 27, 203, 589, 2290, 81, 7594, 81, 1170, 81, 823, 26, 9003, 711, 284, 442, 5788, 32, 7128, 32, 1809, 81, 7594, 81, 1170, 81, 823, 81, 426, 26, 9003, 27, 203, 589, 2290, 81, 2543, 26, 9003, 711, 284, 1994, 280, 43244, 6485, 26, 5860, 32, 7128, 30, 2676, 6636, 6485, 37326, 547, 17785, 26, 291, 13486, 32, 2543, 81, 452, 81, 864, 81, 2942, 444, 1162, 1083, 32, 12053, 81, 4620, 758, 30, 9182, 2610, 284, 442, 1994, 203, 589, 2290, 81, 2543, 81, 1170, 81, 426, 26, 9003, 711, 284, 1994, 280, 43244, 6485, 26, 5860, 32, 7128, 30, 2676, 6636, 6485, 37326, 547, 17785, 26, 291, 13486, 32, 2543, 81, 452, 81, 864, 81, 2942, 444, 1162, 1083, 32, 2474, 30, 9182, 2610, 284, 442, 1994, 203, 589, 4465, 81, 979, 81, 1637, 26, 965, 711, 284, 4465, 280, 43244, 6485, 26, 5860, 32, 7128, 30, 2676, 6636, 6485, 37326, 27, 284, 4465, 32, 17785, 26, 6142, 32, 965, 81, 4752, 26, 965, 490, 203, 589, 7499, 81, 8005, 81, 1071, 26, 2543, 711, 284, 5788, 32, 7128, 32, 4526, 81, 1423, 440, 8299, 77, 34, 997, 5825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 2, 2, 6, 7, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 2, 2, 3, 3, 3, 9, 9, 9, 10, 10, 10, 9, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 9, 9, 9, 10, 10, 10, 9, 8, 8, 8, 7, 8, 7, 4, 4, 9, 9, 9, 10, 10, 10, 9, 8, 7, 3, 3, 4, 4, 4, 2, 2, 5, 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, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 8, 8, 8, 8, 9, 9, 9, 8, 2, 2, 3, 6, 6, 5, 6, 6, 6, 6, 6, 4, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 8, 8, 8, 8, 9, 9, 9, 8, 2, 2, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 5, 0, 1, 1, 2, 1, 1, 7, 7, 7, 8, 8, 8, 7, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 8, 8, 10, 9, 10, 8, 8, 9, 9, 9, 8, 7, 6, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 11, 10, 11, 11, 11, 11, 9, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 8, 8, 10, 9, 10, 8, 8, 9, 9, 9, 8, 7, 6, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 11, 10, 11, 9, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 8, 7, 8, 6, 6, 7, 7, 7, 6, 2, 2, 5, 6, 5, 8, 7, 8, 8, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 6, 7, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 8, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 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, 0, 9, 9, 1, 1, 2, 9, 9, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 10, 10, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 11, 11, 2, 11, 11, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 13, 13, 1, 1, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 3, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 15, 15, 1, 1, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 3, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 1, 0, 16, 16, 1, 1, 1, 1, 2, 1, 2, 16, 16, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 17, 17, 1, 1, 1, 1, 2, 1, 2, 17, 17, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 13625, 1188, 31466, 203, 465, 16951, 203, 1070, 1133, 1188, 1133, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 32, 20973, 1188, 9807, 203, 1070, 13134, 32, 286, 20103, 32, 96, 10576, 1188, 489, 13171, 30, 617, 8788, 81, 96, 10576, 203, 1070, 13134, 32, 15183, 32, 7088, 81, 7101, 1188, 1930, 81, 741, 81, 6557, 81, 4873, 203, 1070, 13134, 32, 6173, 101, 32, 25931, 32, 21332, 1188, 35198, 203, 589, 3372, 81, 3997, 10576, 26, 72, 30, 540, 30, 1769, 81, 1731, 47, 35, 34, 34, 34, 30, 26907, 47, 35, 87, 31, 37, 30, 3219, 1057, 3855, 7831, 284, 5881, 284, 399, 30, 358, 280, 8348, 10576, 26, 74, 30, 540, 30, 26907, 47, 35, 87, 31, 37, 30, 559, 47, 2521, 27, 284, 10092, 43293, 549, 2148, 3280, 1182, 8218, 284, 8350, 284, 13510, 284, 676, 499, 225, 36, 31, 16771, 30, 428, 96, 81, 7088, 30, 310, 81, 5905, 79, 291, 1509, 5045, 284, 540, 499, 4991, 291, 1451, 432, 42940, 5359, 284, 1769, 81, 1731, 499, 4991, 30, 5302, 291, 7091, 1451, 432, 17576, 308, 1536, 44, 225, 35, 34, 34, 34, 27, 284, 26907, 499, 2064, 291, 26434, 10084, 436, 15883, 4323, 308, 6036, 322, 1974, 10365, 438, 4797, 291, 26907, 432, 225, 35, 4317, 322, 667, 32835, 27, 284, 3219, 499, 802, 291, 5393, 1654, 372, 7379, 322, 10023, 32, 284, 3759, 284, 14761, 284, 399, 499, 225, 36, 31, 16771, 30, 428, 96, 81, 7088, 30, 540, 79, 291, 5710, 1742, 432, 322, 10365, 1649, 284, 358, 499, 225, 36, 31, 16771, 30, 428, 100, 30, 310, 81, 5905, 79, 291, 2398, 1742, 432, 322, 10365, 1649, 284, 9494, 284, 36817, 284, 313, 30574, 436, 12495, 31, 15272, 9320, 38344, 1649, 20, 284, 810, 32686, 475, 43293, 30, 47913, 36960, 677, 2148, 3280, 284, 308, 7230, 821, 1913, 555, 13674, 277, 265, 32, 427, 32, 1069, 103, 32, 7589, 33, 13369, 34, 35, 15096, 32, 916, 27, 284, 5881, 284, 15376, 280, 225, 35, 87, 31, 39, 284, 310, 30, 345, 280, 676, 32, 3229, 284, 624, 30, 677, 280, 617, 8788, 81, 96, 10576, 26, 72, 30, 540, 30, 3219, 30, 3995, 81, 1293, 47, 34, 27, 284, 436, 595, 328, 35198, 26, 1449, 81, 1731, 711, 291, 1974, 58, 280, 2065, 32, 4260, 26, 73, 32, 70, 30, 676, 27, 517, 308, 2356, 32, 4260, 26, 2356, 32, 4260, 26, 73, 32, 70, 30, 624, 471, 677, 27, 474, 15376, 27, 291, 677, 10439, 1974, 58, 291, 1974, 73, 280, 2065, 32, 4260, 26, 72, 30, 677, 32, 70, 27, 517, 308, 2356, 32, 4260, 26, 73, 30, 2065, 32, 4260, 26, 58, 30, 677, 32, 70, 490, 474, 15376, 27, 291, 624, 10439, 1974, 73, 291, 415, 595, 904, 225, 35, 34, 610, 225, 34, 44, 324, 1769, 81, 1877, 280, 1769, 26, 1877, 73, 32, 1449, 1026, 1974, 58, 32, 1449, 1157, 324, 415, 11366, 26, 35, 32, 429, 1769, 81, 1877, 27, 333, 26907, 44, 400, 1626, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 2, 3, 4, 4, 4, 4, 2, 2, 3, 5, 5, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 8, 8, 7, 8, 6, 2, 2, 3, 3, 3, 5, 6, 6, 6, 5, 3, 3, 7, 6, 6, 9, 10, 9, 11, 10, 11, 9, 9, 9, 7, 7, 12, 11, 12, 11, 14, 13, 14, 13, 15, 14, 15, 13, 13, 13, 11, 11, 9, 9, 8, 4, 4, 6, 6, 7, 4, 4, 7, 6, 6, 9, 10, 9, 10, 9, 9, 10, 11, 9, 7, 7, 12, 11, 12, 11, 12, 11, 11, 13, 14, 13, 14, 13, 13, 14, 15, 13, 9, 9, 8, 4, 4, 6, 6, 7, 4, 4, 5, 7, 7, 8, 8, 6, 6, 7, 5, 5, 5, 9, 9, 8, 8, 10, 13, 13, 12, 13, 12, 10, 13, 12, 13, 12, 6, 6, 7, 10, 12, 12, 11, 11, 12, 12, 10, 8, 8, 7, 7, 7, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 1, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 2, 1, 4, 4, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 4, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 2, 2, 1, 4, 1, 6, 8, 8, 0, 9, 9, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 9, 1, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 7, 2, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 2, 5, 5, 0, 0, 2, 5, 5, 4, 0, 0, 2, 2, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 3, 3, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4 ]
[ 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 328, 2647, 32, 38510, 81, 3734, 1188, 7400, 38935, 4144, 2570, 203, 1070, 328, 2647, 32, 22559, 7632, 81, 38510, 81, 3734, 1188, 447, 14283, 13018, 38935, 4144, 2570, 203, 823, 11074, 14634, 5584, 38935, 4144, 2570, 26, 5584, 38935, 4144, 2570, 711, 284, 665, 622, 81, 496, 81, 3959, 26, 784, 30, 1256, 81, 314, 711, 291, 2599, 26, 8418, 14634, 5584, 38935, 4144, 2570, 30, 630, 547, 371, 81, 496, 81, 3959, 26, 496, 81, 314, 27, 284, 665, 622, 81, 38510, 81, 1338, 26, 784, 30, 1256, 30, 8419, 81, 314, 711, 291, 2599, 26, 8418, 14634, 5584, 38935, 4144, 2570, 30, 630, 547, 371, 81, 38510, 81, 1338, 26, 496, 30, 8419, 81, 314, 27, 284, 665, 622, 81, 7948, 81, 1338, 26, 784, 30, 1256, 30, 8419, 81, 314, 711, 291, 2599, 26, 8418, 14634, 5584, 38935, 4144, 2570, 30, 630, 547, 371, 81, 7948, 81, 1338, 26, 496, 30, 8419, 81, 314, 27, 203, 823, 2108, 1761, 6253, 21956, 26, 7233, 711, 284, 665, 894, 81, 18506, 81, 1297, 81, 2386, 26, 784, 711, 291, 623, 630, 32, 23895, 26, 18082, 711, 324, 2599, 26, 8418, 14634, 5584, 38935, 4144, 2570, 30, 630, 27, 284, 665, 894, 81, 371, 81, 6385, 26, 784, 711, 291, 6887, 280, 447, 14283, 13018, 38935, 4144, 2570, 346, 291, 630, 32, 25839, 1337, 2521, 26, 6385, 27, 291, 630, 32, 6549, 26, 38003, 26, 6385, 30, 447, 14283, 13018, 38935, 4144, 2570, 490, 284, 665, 894, 81, 1439, 81, 9147, 81, 11452, 26, 784, 711, 291, 6658, 81, 6385, 280, 11074, 14634, 5584, 38935, 4144, 2570, 346, 291, 623, 630, 32, 23895, 26, 35086, 924, 711, 324, 6658, 81, 6385, 32, 371, 81, 38510, 81, 1338, 26, 2521, 30, 1665, 27, 291, 623, 630, 32, 23895, 26, 35086, 924, 711, 324, 6658, 81, 6385, 32, 371, 81, 7948, 81, 1338, 26, 2521, 30, 1665, 27, 291, 623, 630, 32, 23895, 26, 35086, 924, 711, 324, 6658, 81, 6385, 32, 371, 81, 496, 81, 3959, 26, 2521, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 10, 9, 5, 5, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 5, 9, 10, 9, 10, 10, 9, 5, 5, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 4, 4, 5, 9, 10, 9, 10, 10, 9, 5, 5, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 4, 4, 5, 9, 10, 9, 10, 10, 9, 5, 5, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 2676, 3773, 978, 32, 3086, 81, 4882, 32, 3378, 1188, 894, 81, 2358, 993, 203, 1070, 2676, 3773, 978, 32, 2282, 32, 1299, 1188, 3276, 1260, 3922, 203, 1006, 47445, 280, 894, 81, 2358, 993, 32, 1006, 47445, 203, 1006, 41333, 2825, 280, 894, 81, 2358, 993, 32, 1006, 41333, 2825, 203, 823, 5238, 9034, 14384, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3443, 30, 4588, 81, 7490, 711, 291, 630, 32, 2238, 280, 3443, 291, 630, 32, 2811, 81, 7490, 280, 4588, 81, 7490, 284, 665, 1459, 81, 4295, 26, 784, 30, 1420, 81, 3958, 711, 291, 415, 630, 32, 2811, 81, 7490, 44, 324, 630, 32, 1216, 81, 1945, 81, 4295, 26, 1945, 81, 3958, 32, 4332, 81, 4295, 27, 291, 630, 32, 1216, 81, 22562, 81, 4295, 26, 1945, 81, 3958, 32, 1036, 3303, 1191, 81, 4295, 30, 1420, 81, 3958, 32, 6565, 81, 7790, 81, 4882, 81, 266, 81, 13558, 27, 284, 665, 617, 1216, 26, 784, 30, 3124, 711, 291, 630, 32, 2238, 32, 1821, 26, 2076, 474, 3228, 96, 683, 284, 665, 1459, 81, 1945, 81, 4295, 26, 784, 30, 1420, 81, 4295, 711, 291, 3803, 280, 1420, 81, 4295, 32, 2999, 81, 32997, 291, 3380, 280, 1420, 81, 4295, 32, 2999, 291, 5403, 280, 3380, 429, 3803, 429, 1420, 81, 4295, 32, 18233, 291, 13720, 81, 20058, 280, 225, 34, 32, 34, 291, 415, 3380, 848, 225, 34, 44, 324, 13720, 81, 20058, 280, 1897, 26, 20058, 27, 319, 225, 35, 34, 34, 517, 3380, 291, 630, 1114, 1216, 440, 2449, 19677, 44, 904, 86, 9708, 86, 3312, 5403, 10027, 32, 35, 88, 1784, 4731, 904, 308, 20058, 30, 3380, 30, 13720, 81, 20058, 490, 291, 630, 1114, 1216, 17987, 291, 630, 1114, 1216, 81, 1945, 81, 4295, 81, 3038, 26, 1945, 81, 4295, 30, 894, 81, 2358, 993, 32, 30130, 30, 313, 4470, 372, 526, 5253, 657, 291, 630, 1114, 1216, 17987, 291, 630, 1114, 1216, 81, 1945, 81, 4295, 81, 3038, 26, 1945, 81, 4295, 30, 894, 81, 2358, 993, 32, 73, 4824, 6438, 30, 324, 313, 4470, 688, 1098, 1755, 526, 5253, 415, 2953, 14865, 308, 73, 4824, 6438, 14451, 291, 630, 1114, 1216, 17987, 284, 665, 617, 1216, 81, 1945, 81, 4295, 81, 3038, 26, 784, 30, 1420, 81, 4295, 30, 24253, 30, 19325, 711, 291, 3380, 280, 2069, 26, 1945, 81, 4295, 32, 4882, 81, 1170, 81, 16471, 77, 16471, 1130, 291, 646, 81, 4617, 299, 280, 308, 2999, 429, 324, 2069, 26, 1945, 81, 4295, 32, 4882, 81, 1170, 81, 2358, 367, 77, 858, 81, 2358, 993, 32, 9691, 79, 549, 400, 1420, 81, 4295, 32, 4882, 81, 1170, 81, 16471, 77, 16471, 5259, 291, 630, 1114, 1216, 440, 2449, 904, 101, 10027, 86, 711, 20, 904, 308, 7114, 30, 646, 81, 4617, 299, 490, 291, 436, 1056, 328, 2108, 47445, 32, 14886, 2893, 81, 9349, 44, 324, 415, 1056, 328, 308, 858, 81, 2358, 993, 32, 9691, 30, 894, 81, 2358, 993, 32, 23029, 711, 400, 4036, 324, 3276, 280, 308, 1945, 81, 4295 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 10, 11, 11, 11, 9, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 9, 8, 8, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 8, 7, 8, 8, 8, 4, 4, 6, 6, 8, 8, 7, 8, 4, 4, 6, 6, 8, 8, 7, 7, 9, 9, 8, 9, 4, 4, 7, 7, 6, 6, 7, 7, 7, 4, 4, 5, 6, 6, 7, 5, 5, 5, 9, 9, 8, 8, 12, 13, 12, 10, 10, 11, 11, 11, 9, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 9, 9, 8, 9, 7, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 9, 10, 9, 4, 4, 7, 7, 7, 6, 6, 9, 8, 8, 8, 10, 14, 14, 14, 13, 14, 14, 14, 14, 14, 14, 12, 14, 14, 14, 14, 13, 14, 12, 11, 11, 11, 14, 14, 13, 14, 14, 14, 14, 14, 12, 13, 12, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 10, 10, 10, 9, 4, 4, 5, 5, 5, 7, 6, 7, 7, 7, 7, 5, 5, 5, 7, 8, 8, 11, 11, 11, 11, 10, 11, 9, 9, 11, 11, 11, 10, 11, 9, 7, 7, 6, 6, 8, 8, 13, 13, 13 ]
[ 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 2, 4, 4, 3, 3, 3, 0, 3, 2, 2, 2, 2, 3, 3, 3, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 2, 2, 0, 0, 5, 5, 0, 0, 0, 0, 0 ]
[ 465, 1619, 1356, 203, 465, 5741, 203, 465, 316, 203, 465, 22977, 203, 465, 17778, 203, 465, 22045, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 268, 81, 3607, 280, 316, 32, 6993, 26, 100, 20, 3607, 4310, 33581, 14451, 203, 823, 13290, 2551, 13976, 26, 1473, 711, 284, 665, 5822, 26, 784, 30, 2404, 30, 1115, 5321, 711, 291, 1619, 280, 17778, 32, 1297, 81, 1536, 81, 1819, 346, 291, 415, 646, 630, 32, 2848, 32, 6967, 44, 324, 1619, 32, 1553, 81, 12256, 280, 3177, 324, 1619, 32, 6967, 81, 2816, 280, 17778, 32, 21729, 81, 8467, 291, 442, 22045, 32, 1357, 32, 305, 33786, 26, 324, 22045, 32, 1357, 32, 1104, 28302, 34, 3188, 4984, 5263, 35, 16805, 1643, 26, 784, 32, 965, 30, 2404, 471, 400, 1115, 5321, 471, 1619, 47, 1819, 27, 284, 665, 4131, 26, 784, 30, 2404, 711, 291, 623, 1619, 1356, 32, 21664, 26, 784, 32, 4984, 26, 1956, 30, 1411, 1057, 6896, 2847, 619, 5759, 44, 324, 4826, 280, 5759, 32, 1338, 346, 324, 3104, 280, 629, 26, 5078, 710, 1286, 31, 1322, 3490, 324, 4870, 280, 22045, 32, 2208, 32, 311, 7345, 26, 400, 316, 81, 3607, 32, 1903, 26, 5078, 710, 1286, 31, 1285, 2705, 21229, 1363, 26, 35, 490, 291, 623, 2156, 26, 3607, 30, 330, 360, 683, 619, 23818, 44, 324, 3401, 280, 23818, 32, 27787, 346, 324, 415, 3401, 333, 3104, 44, 400, 623, 1619, 1356, 32, 21664, 26, 784, 32, 4984, 26, 1956, 30, 4826, 1279, 1014, 330, 3198, 950, 313, 3651, 1279, 34, 11915, 2296, 1643, 26, 2881, 471, 715, 16586, 619, 622, 44, 528, 22977, 32, 2991, 761, 2067, 26, 371, 30, 23818, 27, 291, 442, 4870, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 6, 8, 9, 7, 8, 5, 5, 5, 9, 10, 10, 10, 8, 8, 6, 6, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 4, 4, 5, 8, 9, 7, 8, 8, 7, 7, 7, 10, 11, 9, 10, 9, 13, 13, 13, 13, 13, 13, 12, 11, 13, 12, 13, 11, 11, 11, 9, 9, 11, 9, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 11, 10, 11, 10, 13, 12, 13, 12, 13, 12, 12, 13, 15, 15, 8, 8, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 8, 8, 10, 12, 11, 13, 13, 13, 13, 6, 6, 8, 8, 11, 12, 10, 11, 11, 10, 10, 10, 15, 15, 14, 15, 14, 16, 15, 17, 17, 17, 17, 17, 13, 12, 13, 12, 4, 4, 5, 10, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 9, 15, 14, 15, 14, 17, 16, 17, 16, 17, 16, 16, 17, 18, 18, 21, 21, 19, 23, 23, 23, 23, 23, 22, 21, 22, 21, 18, 18, 12, 12, 9, 9, 9, 13, 14, 14, 14, 13, 14, 13, 13, 13, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 3, 3, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 1, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 296, 4682, 1188, 319, 203, 465, 316, 203, 823, 15341, 26, 9531, 3698, 711, 357, 202, 589, 1156, 1664, 3207, 784, 30, 14103, 1057, 66, 370, 2243, 1057, 2840, 370, 1643, 1057, 51, 38, 7831, 355, 202, 9531, 3698, 3667, 1664, 3207, 784, 30, 16536, 30, 2243, 30, 1643, 27, 355, 202, 784, 32, 84, 47, 34, 355, 202, 784, 32, 91, 47, 34, 355, 202, 784, 32, 103, 47, 34, 355, 202, 784, 32, 6928, 35911, 355, 202, 784, 32, 1637, 81, 7676, 19704, 357, 202, 589, 2866, 81, 916, 26, 784, 30, 4159, 711, 355, 202, 916, 47, 916, 32, 3227, 5528, 96, 47633, 11134, 355, 202, 83, 47, 268, 32, 2998, 10385, 29548, 10228, 10154, 916, 27, 355, 202, 979, 595, 30, 87, 328, 10703, 26, 83, 711, 603, 202, 325, 26, 91, 23, 36, 379, 34, 711, 577, 202, 325, 26, 784, 32, 6928, 711, 1379, 202, 784, 32, 524, 81, 1204, 26, 784, 32, 6928, 30, 87, 27, 577, 202, 1824, 44, 1379, 202, 784, 32, 1821, 26, 39, 30, 87, 27, 603, 202, 1824, 44, 577, 202, 325, 26, 87, 77, 34, 42811, 33, 7831, 1379, 202, 784, 32, 2679, 81, 2142, 26, 10882, 26, 87, 30, 35, 547, 7607, 1157, 577, 202, 1824, 44, 1379, 202, 2437, 19704, 1379, 202, 83, 36, 47, 87, 32, 2998, 463, 11134, 1379, 202, 2142, 47, 83, 36, 32, 3235, 26, 34, 547, 7607, 346, 1379, 202, 979, 354, 328, 312, 36, 44, 1488, 202, 83, 37, 280, 316, 32, 32852, 41412, 80, 24183, 47, 38131, 18278, 785, 49, 24183, 20, 785, 3730, 1365, 785, 49, 2699, 370, 104, 5594, 34, 79, 1488, 202, 325, 312, 37, 44, 2889, 202, 2437, 77, 83, 37, 77, 34, 997, 7607, 7662, 47, 83, 37, 77, 35, 79, 1379, 202, 784, 32, 1676, 81, 2142, 26, 2142, 30, 2437, 27, 357, 202, 589, 2156, 81, 2142, 26, 784, 30, 2604, 30, 2437, 711, 355, 202, 325, 26, 2142, 10844, 52, 25, 556, 2604, 10844, 59, 25, 556, 2604, 10844, 71, 7831, 603, 202, 784, 32, 470, 81, 1621, 26, 2142, 30, 35, 27, 355, 202, 325, 26, 2142, 10844, 51, 7831, 603, 202, 784, 32, 6928, 47, 2437, 710, 58, 4182, 785, 355, 202, 325, 26, 2142, 10844, 4758, 7831, 603, 202, 784, 32, 2506, 26, 39, 27, 357, 202, 589, 4230, 81, 2142, 26, 784, 30, 2604, 711, 355, 202, 325, 26, 2142, 10844, 52, 25, 556, 2604, 10844, 59, 25, 556, 2604, 10844, 71, 7831, 603, 202, 784, 32, 470, 81, 1621, 26, 2142, 30, 34, 27, 355, 202, 325, 26, 2142, 10844, 51, 7831, 603, 202, 784, 32, 6928, 35911, 357, 202, 589, 739, 81, 1621, 26, 784, 30, 2604, 30, 4898, 711, 355, 202, 102, 280, 18623, 26, 784, 30, 2142, 32, 5729, 1157, 355, 202, 325, 5352, 44, 603, 202, 102, 9372, 35, 355, 202, 1824, 44, 603, 202, 102, 29, 6593, 35, 355, 202, 45865, 26, 784, 30, 2142, 32, 5729, 1026, 102, 27, 355, 202, 1621, 35911, 355, 202, 979, 309, 328, 2726, 52 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 5, 7, 7, 6, 5, 7, 7, 6, 5, 7, 7, 7, 3, 3, 8, 8, 7, 8, 8, 8, 7, 8, 7, 8, 7, 8, 7, 4, 4, 8, 7, 8, 6, 7, 4, 4, 8, 7, 8, 6, 7, 4, 4, 8, 7, 8, 6, 7, 4, 4, 8, 7, 8, 6, 4, 4, 8, 7, 8, 8, 8, 6, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 9, 8, 9, 8, 11, 10, 10, 4, 4, 7, 6, 9, 8, 9, 8, 10, 10, 10, 9, 8, 4, 4, 5, 5, 6, 7, 5, 5, 7, 8, 7, 5, 5, 7, 8, 11, 10, 11, 9, 10, 8, 7, 7, 9, 10, 12, 11, 12, 10, 9, 9, 14, 13, 14, 14, 14, 13, 15, 14, 15, 13, 14, 13, 9, 9, 10, 10, 10, 10, 15, 14, 15, 14, 15, 14, 15, 14, 7, 7, 8, 8, 8, 8, 10, 11, 14, 13, 14, 13, 14, 14, 10, 10, 15, 14, 15, 15, 15, 14, 18, 18, 19, 18, 19, 18, 17, 16, 10, 10, 11, 11, 11, 11, 15, 14, 12, 12, 15, 15, 14, 17, 16, 17, 16, 18, 12, 12, 15, 14, 19, 19, 18, 19, 18, 19, 18, 17, 16, 12, 12, 13, 13, 13, 13, 14, 13, 13, 13, 17, 17, 16, 16, 19, 20, 19, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 20, 19, 18, 17, 14, 14, 15, 15, 16, 15, 15, 15, 20, 19, 23, 23, 22, 23, 22, 22, 21, 18, 20, 20, 19, 20, 19, 12, 12, 16, 15, 16, 16, 16, 15, 16, 15, 16, 15, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 3, 5, 6, 10, 9, 11, 11, 8, 8, 9, 11, 11, 7, 7, 8, 10, 10, 5, 5, 10, 9, 10, 10, 10, 9, 10, 9, 10, 9, 4, 4, 5, 6, 8, 7, 9, 9, 5, 5, 10, 9, 10, 8, 10, 9, 11, 11, 11, 4, 4, 5, 6, 8, 7, 9, 9, 5, 5, 10, 9, 10, 9, 10, 9, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 10, 9, 11, 11, 8, 8, 9, 11, 11, 7, 7, 8, 10, 10, 5, 5, 10, 9, 10, 10, 10, 9, 10, 9, 10, 9, 4, 4, 5, 6, 8, 7, 9, 9, 5, 5, 10, 9, 10, 8, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 8, 11, 10, 11, 10, 4, 4, 5, 5, 5, 5, 5, 9, 8, 9, 5, 5, 6, 6, 6, 6, 10, 9, 9, 11, 4, 4, 7, 7, 8, 7, 10, 9, 10, 9, 8, 7, 4, 4, 7, 6, 4, 4, 5, 5, 5, 5, 8 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 3, 1, 2, 0, 5, 1, 2, 0, 7, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 3, 1, 5, 1, 7, 1, 4, 4, 0, 0, 2, 0, 2, 4, 4, 0, 0, 2, 0, 2, 4, 4, 0, 0, 2, 0, 2, 4, 4, 0, 0, 2, 0, 4, 4, 0, 0, 2, 2, 2, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 3, 1, 0, 0, 4, 4, 4, 4, 0, 0, 2, 1, 1, 1, 3, 1, 0, 0, 4, 4, 4, 4, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 3, 1, 2, 1, 0, 0, 4, 4, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 4, 4, 2, 2, 1, 1, 2, 1, 2, 2, 2, 5, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 4, 4, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 4, 4, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 4, 4, 3, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 4, 4, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 4, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 5, 2, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 4, 4, 4, 4, 0, 0, 0, 1, 4, 4, 0, 1, 1, 1, 0, 0, 2, 1, 5, 1, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 1 ]
[ 1070, 29551, 47291, 1188, 3089, 203, 13411, 280, 330, 36, 87, 42, 36, 28930, 42, 2312, 36, 34, 25, 203, 1746, 81, 13411, 280, 330, 35, 43, 40, 42, 329, 3499, 34, 43, 87, 37, 25, 203, 6586, 81, 5919, 280, 1665, 203, 27263, 81, 267, 280, 1665, 203, 589, 10750, 2262, 284, 3089, 32, 13141, 81, 1274, 463, 496, 370, 330, 3707, 683, 203, 589, 2835, 4944, 2262, 284, 3089, 32, 13141, 81, 1274, 463, 3707, 370, 330, 496, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 1, 1, 0, 3, 2, 2, 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, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 1, 1, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 0, 1, 1, 2, 2, 1, 1, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 5, 5, 2, 5, 5, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 6, 6, 1, 2, 6, 6, 0, 2, 2, 2, 1, 1, 2, 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 ]
[ 465, 1133, 203, 1070, 7744, 1188, 17648, 203, 1070, 8527, 32, 858, 1188, 4448, 2214, 203, 1070, 8527, 32, 2304, 32, 525, 1188, 3185, 81, 525, 81, 770, 203, 1070, 23065, 22262, 32, 8701, 1088, 32, 4882, 1188, 19205, 203, 1070, 23065, 22262, 32, 8701, 1088, 32, 4882, 1188, 11875, 203, 823, 4328, 17608, 4470, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 4918, 280, 4448, 2214, 346, 284, 665, 617, 858, 81, 2613, 81, 5078, 26, 784, 30, 2202, 30, 11632, 711, 291, 894, 81, 1357, 280, 630, 32, 4918, 32, 371, 3247, 4980, 31, 13636, 31, 86, 795, 25844, 291, 5127, 280, 2202, 26, 858, 81, 1357, 27, 291, 1929, 81, 6360, 280, 11632, 319, 225, 40, 34, 319, 225, 40, 34, 291, 630, 32, 5299, 26, 5243, 710, 2613, 31, 2435, 2188, 330, 1449, 31, 381, 6132, 86, 25, 904, 1929, 81, 6360, 27, 291, 2464, 81, 770, 280, 17648, 26, 1003, 32, 1003, 1157, 291, 2910, 81, 770, 280, 3185, 81, 525, 81, 770, 26, 5243, 710, 22171, 3490, 291, 630, 32, 47628, 26, 2174, 81, 770, 474, 1929, 81, 6360, 30, 2910, 81, 770, 30, 7715, 47, 36, 27, 284, 665, 894, 81, 2613, 81, 5078, 81, 38, 42, 81, 14991, 26, 784, 711, 291, 630, 1114, 858, 81, 2613, 81, 5078, 26, 4338, 32, 1071, 81, 858, 81, 38, 42, 81, 90, 3666, 30, 225, 38, 42, 27, 284, 665, 894, 81, 2613, 81, 5078, 81, 37, 34, 81, 6124, 26, 784, 711, 291, 630, 1114, 858, 81, 2613, 81, 5078, 26, 4338, 32, 1071, 81, 858, 81, 37, 34, 81, 6124, 30, 225, 37, 34, 319, 225, 36, 38, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 9, 9, 7, 7, 8, 8, 4, 4, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 7, 4, 4, 7, 7, 6, 6, 8, 11, 10, 11, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 10, 9, 11, 11, 4, 4, 7, 8, 7, 9, 9, 9, 8, 8, 9, 9, 7, 7, 8, 8, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 8, 9, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 0, 5, 5, 0, 1, 2, 2, 1, 4, 5, 5, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 3, 3, 1, 1, 5, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 29590, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 2322, 315, 858, 1188, 1695, 203, 1070, 1168, 33367, 32, 4882, 1188, 1695, 619, 310, 81, 1439, 203, 589, 2454, 81, 1163, 81, 761, 26, 800, 711, 284, 281, 761, 280, 29590, 32, 11049, 24723, 974, 26, 2560, 47, 2700, 27, 284, 281, 761, 32, 1821, 26, 800, 32, 4434, 463, 3310, 31, 42, 2847, 284, 281, 761, 32, 2679, 346, 284, 310, 81, 1439, 32, 1761, 7233, 32, 1163, 81, 2208, 26, 291, 8444, 32, 14594, 30, 2181, 11414, 287, 1163, 31, 761, 370, 281, 761, 32, 426, 1130, 284, 665, 13144, 2262, 291, 2322, 32, 23754, 26, 85, 761, 32, 426, 27, 284, 442, 13144, 203, 823, 19205, 26, 1439, 32, 1761, 7233, 711, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 6, 5, 6, 5, 8, 7, 8, 7, 9, 9, 9, 9, 2, 2, 6, 5, 6, 5, 2, 2, 7, 7, 6, 7, 7, 5, 6, 6, 6, 5, 5, 5, 6, 7, 5, 5, 6, 9, 9, 9, 9, 9, 7, 9, 8, 9, 7, 2, 2, 3, 4, 3, 3, 7, 8, 7, 9, 9, 8, 9, 7, 2, 2, 3, 0, 1, 1, 2, 4, 3, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 3, 3, 2, 2, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 2, 2, 0, 3, 2, 2, 4, 4, 4, 2, 4, 4, 0, 2, 1, 0, 0, 1, 2, 1, 4, 4, 5, 0, 6, 6, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 1070, 2919, 2208, 1188, 3659, 2825, 203, 465, 2322, 32, 983, 203, 465, 5237, 203, 1070, 2761, 1188, 6042, 81, 2029, 81, 7004, 203, 81, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 81, 25948, 280, 1524, 8795, 44, 904, 15446, 29298, 4756, 79, 428, 2184, 79, 428, 983, 35, 79, 428, 983, 36, 79, 2417, 203, 19310, 44, 334, 3456, 10613, 1418, 9267, 372, 3704, 7175, 1418, 19439, 44, 397, 1913, 555, 7524, 32, 1088, 33, 3205, 33, 3205, 31, 1621, 32, 916, 334, 5380, 4209, 883, 526, 2276, 461, 14904, 32, 225, 1670, 25209, 312, 5554, 4583, 12356, 334, 7842, 884, 5403, 30, 1615, 1169, 3404, 328, 1370, 1914, 3498, 4740, 3362, 334, 884, 8137, 32, 203, 2275, 3878, 44, 334, 1348, 3261, 44428, 372, 3638, 1418, 1048, 312, 24462, 6793, 645, 225, 35, 31, 39, 461, 334, 312, 6215, 636, 32, 225, 399, 24462, 6793, 432, 225, 39, 6058, 322, 1048, 438, 31785, 334, 312, 3708, 30, 461, 225, 35, 6058, 561, 3065, 526, 8394, 32, 334, 9953, 4467, 9250, 328, 1048, 5218, 328, 30544, 30, 436, 2280, 334, 428, 29903, 33, 9378, 997, 225, 2802, 322, 2075, 4169, 4794, 436, 600, 2470, 688, 334, 20179, 1169, 3304, 12770, 461, 1510, 884, 14527, 810, 1244, 32, 203, 11783, 44, 334, 4417, 10582, 372, 8488, 2769, 3878, 372, 3639, 32, 225, 34163, 884, 3191, 1471, 334, 312, 18231, 31, 26398, 1149, 432, 1905, 2761, 7019, 32, 225, 886, 3261, 14201, 3878, 334, 328, 312, 6215, 415, 322, 6215, 18200, 322, 2761, 30, 619, 10303, 4794, 32, 334, 3367, 12770, 1477, 963, 13256, 32, 225, 5069, 2761, 7019, 884, 1615, 22423, 334, 645, 2841, 372, 2091, 30, 623, 6125, 7019, 15137, 32787, 32, 225, 2616, 2280, 30, 322, 334, 5750, 6757, 3986, 20, 18200, 1346, 6215, 688, 11187, 623, 313, 3986, 392, 461, 4825, 3986, 20, 8158, 334, 1346, 3751, 6215, 32, 225, 886, 2761, 1509, 4825, 29903, 30, 29, 29903, 33, 839, 2557, 20, 8158, 334, 322, 6215, 313, 29903, 33, 3007, 20, 461, 18200, 313, 29903, 33, 839, 2557, 2296, 334, 15950, 44, 769, 2029, 6593, 29903, 30, 29, 29903, 33, 839, 2557, 324, 769, 2029, 6593, 29903, 5437, 4689, 33, 2949, 30, 29, 4689, 33, 2949, 81, 1643, 324, 769, 2029, 6593, 30, 29, 1832, 33, 1017, 81, 7733, 81, 9619, 81, 539, 203, 9651, 44, 334, 22043, 504, 1418, 31, 23045, 5853, 12428, 544, 322, 7842, 6491, 372, 334, 322, 3704, 7175, 1914, 3051, 432, 322, 2276, 3998, 8137, 32, 225, 2616, 2280, 30, 334, 9437, 3738, 432, 3878, 1631, 526, 13744, 29928, 436, 2276, 328, 334, 3704, 7175, 33, 22589, 33, 7524, 33, 308, 87, 32, 89, 32, 810, 28182, 299, 313, 850, 3452, 33, 36677, 20, 3878, 334, 436, 2276, 328, 458, 3362, 547, 334, 390, 824, 7795, 631, 30, 415, 322, 1519, 6491, 372, 322, 1914, 3051, 4881, 526, 334, 19829, 436, 312, 803, 3998, 8137, 30, 1615, 1418, 11056, 1631, 646, 334, 1389, 8464, 436, 688, 803, 32, 225, 1348, 883, 13791, 30, 436, 2280, 30, 415, 1289, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8206, 13835, 32, 22402, 1188, 15798, 203, 1070, 8206, 13835, 32, 858, 32, 1805, 81, 8774, 1188, 892, 9998, 203, 1070, 8206, 13835, 32, 468, 380, 32, 2372, 455, 101, 32, 2372, 455, 101, 1188, 4226, 5506, 30, 5675, 5506, 203, 1070, 8206, 13835, 32, 468, 380, 32, 2372, 455, 101, 32, 2372, 455, 101, 1188, 15716, 81, 15626, 30, 15716, 81, 2045, 30, 15716, 81, 22371, 1392, 30, 15716, 81, 10486, 64, 1757, 30, 15716, 81, 10486, 64, 1757, 81, 33591, 203, 1070, 8206, 13835, 32, 468, 380, 32, 2372, 455, 101, 32, 2372, 455, 101, 1188, 570, 34, 30, 570, 35, 203, 1070, 8206, 13835, 32, 468, 380, 32, 2372, 455, 101, 32, 2372, 455, 101, 1188, 19405, 203, 589, 617, 32110, 26, 3613, 30, 636, 711, 284, 442, 2599, 26, 3660, 30, 4395, 14585, 371, 4890, 3207, 426, 27, 203, 589, 39630, 26, 3613, 711, 284, 442, 617, 32110, 26, 3613, 30, 330, 19389, 24435, 683, 203, 589, 4438, 26, 3613, 711, 284, 442, 617, 32110, 26, 3613, 30, 330, 9147, 683, 203, 589, 617, 1689, 26, 3613, 30, 2830, 711, 284, 39630, 26, 3613, 547, 1689, 26, 2067, 27, 203, 1536, 280, 1300, 346, 203, 823, 7502, 26, 1473, 711, 284, 1476, 18302, 280, 1244, 284, 665, 1156, 1664, 3207, 784, 30, 4438, 47, 2521, 30, 1476, 18302, 47, 1536, 711, 291, 630, 32, 19389, 24435, 280, 1605, 291, 415, 4438, 438, 1665, 44, 324, 4438, 280, 2149, 291, 630, 32, 9147, 280, 4438, 291, 415, 1476, 18302, 438, 646, 1244, 44, 324, 630, 32, 1851, 18302, 280, 1476, 18302, 284, 665, 1156, 1851, 3207, 784, 30, 319, 83, 30, 1115, 4124, 711, 291, 34228, 280, 617, 32110, 26, 784, 30, 330, 1851, 18302, 683, 291, 415, 34228, 438, 1244, 44, 324, 34228, 280, 7502, 346, 291, 617, 1689, 26, 784, 30, 2726, 505, 1851, 505, 370, 34228, 30, 312, 30, 8556, 490, 291, 442, 34228, 284, 665, 1156, 371, 4890, 3207, 784, 30, 636, 711, 291, 4438, 280, 617, 32110, 26, 784, 30, 330, 9147, 683, 291, 415, 636, 328, 4438, 44, 324, 5601, 882, 280, 7502, 26, 1851, 18302, 47, 9147, 77, 426, 1130, 291, 813, 44, 324, 5601, 882, 280, 7502, 346, 291, 617, 1689, 26, 784, 30, 308, 426, 30, 5601, 882, 490, 291, 442, 5601, 882, 203, 823, 7502, 13976, 44, 284, 665, 1201, 1853, 26, 784, 30, 35361, 30, 24921, 30, 2799, 2731, 279, 3080, 47, 1026, 4511, 2799, 13099, 3080, 19704, 711, 291, 5601, 30, 4395, 280, 35361, 291, 630, 32, 5299, 26, 2437, 30, 24921, 27, 291, 630, 32, 5299, 26, 1657, 26, 19389, 24435, 26, 3613, 3662, 225, 35, 27, 291, 10440, 1851, 30, 1056, 30, 2181, 30, 8556, 2177, 280, 39630, 26, 3613, 27, 291, 630, 32, 5299, 26, 1851, 30, 9602, 1851, 505, 657, 291, 630, 32, 5299, 26, 1132, 30, 2799, 2731, 279, 3080, 27, 291, 630, 32, 5299, 26, 4124, 30, 2799, 13099, 3080, 27, 291, 442, 1056, 203, 81, 2263, 38461, 1006, 3442, 280, 1524, 78, 203, 589, 894, 3930, 42668, 37308, 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, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 7, 8, 7, 7, 7, 6, 6, 6, 6, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 6, 5, 5, 7, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 6, 5, 5, 7, 7, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 7, 8, 7, 6, 5, 6, 5, 0, 3, 2, 2, 4, 0, 1, 1, 2, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 8, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 5, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 8, 8, 9, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 8, 8, 9, 8, 8, 10, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 10, 4, 4, 7, 7, 8, 7, 7, 10, 10, 10, 10, 8, 8, 8, 8, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 9, 8, 8, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 9, 8, 8, 10, 12, 12, 11, 13, 12, 13, 12, 5, 5, 6, 6, 6, 10, 9, 9, 11, 4, 4, 7, 7, 8, 7, 7, 9, 8, 8, 9, 8, 4, 4, 5, 6, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 11, 11, 11, 12, 11, 7, 8, 7, 4, 4, 9, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 7, 4, 4, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 4, 4, 4, 1, 6, 6, 6, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 4, 4, 1, 6, 6, 6, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 1, 6, 6, 6, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 2, 1, 4, 4, 4, 1, 6, 6, 6, 5, 5, 0, 6, 6, 1, 2, 1, 2, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 2, 1, 2, 8, 8, 0, 0, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 2, 1, 2, 2, 2, 9, 9, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 11, 11, 2, 1, 2, 11, 11, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 5, 2, 2, 1, 1, 0, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 3, 0, 1, 1, 1, 3, 3, 3, 0, 2, 2, 0, 0, 2, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 3, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 1, 4, 4, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 3, 1, 0, 12, 12, 1, 12, 12, 12, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ]
[ 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 31786, 203, 4021, 81, 2310, 44, 4784, 8522, 15529, 18335, 436, 4942, 6350, 203, 2310, 44, 284, 429, 4784, 8522, 31737, 7324, 1471, 322, 330, 1877, 31, 15777, 11118, 25, 4559, 3943, 544, 47165, 31, 6228, 10737, 32, 284, 429, 36235, 1412, 4609, 18335, 884, 6713, 1273, 2355, 6693, 8904, 308, 87, 32, 89, 32, 3449, 46044, 547, 203, 1648, 81, 11043, 44, 313, 35, 32, 40, 20, 203, 2184, 44, 334, 636, 44, 284, 3048, 44, 397, 429, 886, 10140, 636, 432, 322, 2552, 32, 284, 2129, 44, 861, 334, 1519, 44, 284, 3048, 44, 397, 429, 886, 1519, 372, 322, 4011, 15012, 688, 322, 2552, 1395, 2260, 372, 32, 284, 2129, 44, 861, 334, 2552, 44, 284, 3048, 44, 397, 429, 886, 1519, 372, 322, 31737, 2552, 688, 1395, 2260, 372, 322, 4011, 15012, 32, 284, 2129, 44, 901, 203, 15965, 44, 428, 1974, 31, 15777, 11118, 1481, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 636, 44, 3809, 1383, 1503, 4324, 334, 31786, 44, 636, 47, 1859, 1519, 9178, 3381, 33, 1356, 33, 23505, 33, 1859, 31, 41, 31, 22234, 31, 11332, 40, 38, 33, 39132, 33, 1771, 33, 1859, 203, 31, 636, 44, 31786, 2552, 3272, 334, 31786, 44, 636, 47, 10213, 31, 2957, 2552, 9178, 6698, 33, 10213, 33, 2957, 1519, 9178, 6698, 33, 10213, 33, 2957, 32, 19441, 203, 9592, 203, 5807, 81, 11238, 81, 28185, 280, 225, 39, 34, 203, 589, 2575, 2262, 284, 2297, 280, 35603, 2459, 26, 291, 2793, 81, 2285, 280, 5436, 26, 324, 636, 280, 5436, 26, 3648, 47, 1815, 471, 324, 1519, 225, 280, 5436, 26, 3648, 47, 1815, 471, 324, 2552, 280, 5436, 26, 3648, 47, 2700, 471, 291, 2588, 291, 9567, 81, 1553, 81, 2816, 47, 1815, 30, 284, 829, 284, 2803, 280, 2297, 32, 2132, 284, 636, 280, 2803, 710, 426, 785, 284, 1519, 280, 2803, 710, 983, 785, 284, 2552, 280, 2803, 710, 1204, 785, 284, 16424, 81, 10486, 22823, 5091, 940, 280, 225, 2297, 32, 371, 81, 1771, 81, 983, 463, 1877, 31, 15777, 11118, 370, 1815, 27, 284, 1550, 81, 983, 280, 1665, 284, 1169, 81, 15777, 11118, 280, 1605, 284, 2322, 81, 5065, 280, 1665, 284, 308, 899, 30, 2467, 81, 2024, 30, 2467, 81, 731, 27, 280, 2297, 32, 1945, 81, 2501, 26, 291, 428, 8758, 81, 10486, 22823, 5091, 940, 30, 11363, 1217, 370, 636, 79, 284, 829, 284, 415, 7631, 610, 225, 34, 44, 291, 2322, 81, 5065, 280, 313, 37134, 2531, 20, 291, 436, 1628, 328, 2467, 81, 2024, 32, 2998, 4446, 2262, 324, 6122, 81, 928, 280, 1628, 32, 2998, 16487, 683, 324, 415, 2069, 26, 2998, 81, 928, 27, 610, 225, 36, 44, 400, 1202, 280, 6122, 81, 928, 77, 34, 79, 400, 786, 280, 6122, 81, 928, 77, 35, 997, 7201, 346, 400, 415, 1202, 610, 330, 882, 950, 528, 1550, 81, 983, 280, 786, 400, 4348, 1202, 610, 330, 34111, 950, 528, 1169, 81, 15777, 11118, 32, 1689, 26, 853, 27, 400, 4348, 1202, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 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, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 2, 1, 1, 4, 4, 6, 6, 6, 6, 8, 8, 7, 7, 9, 9, 9, 10, 10, 12, 14, 13, 14, 12, 9, 9, 10, 10, 10, 12, 14, 13, 14, 12, 9, 9, 10, 10, 12, 14, 13, 14, 12, 9, 9, 6, 6, 8, 8, 8, 8, 7, 8, 6, 6, 6, 2, 2, 4, 4, 5, 6, 2, 2, 4, 4, 5, 7, 7, 2, 2, 4, 4, 5, 7, 7, 2, 2, 4, 4, 5, 7, 7, 2, 2, 5, 5, 5, 5, 5, 4, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 7, 6, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 4, 4, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 7, 7, 9, 9, 7, 7, 6, 6, 2, 2, 3, 4, 4, 5, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 4, 4, 5, 5, 5, 8, 8, 7, 8, 8, 7, 5, 5, 9, 9, 8, 8, 10, 11, 10, 12, 6, 6, 7, 10, 11, 11, 11, 10, 8, 8, 9, 7, 7, 7, 10, 10, 12, 12, 11, 12, 11, 8, 8, 10, 10, 14, 14, 13, 14, 13, 13, 12, 8, 8, 9, 10, 10, 12, 12, 9, 9, 13, 13, 12, 12, 9, 9, 10, 11, 11, 13, 13, 10, 10, 15, 15, 15, 14, 15, 14, 15, 14, 9, 9, 10, 12 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 2, 3, 3, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 3, 3, 3, 1, 0, 1, 2, 1, 1, 1, 5, 5, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 1, 0, 0, 3, 3, 0, 0, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 10, 1, 1, 2, 10, 10, 10, 0, 0, 0, 0, 1, 1, 2, 3, 3, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 5, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 6989, 1639, 6040, 203, 24021, 2893, 280, 540, 9592, 203, 1559, 203, 1647, 44, 1430, 91, 81, 929, 89, 203, 4021, 81, 2310, 44, 31580, 4720, 6431, 28585, 308, 7414, 57, 27, 4684, 308, 12308, 44, 51, 7414, 89, 27, 203, 2310, 44, 203, 31, 31580, 4720, 6431, 28585, 308, 7414, 57, 27, 544, 390, 16690, 399, 4246, 36853, 100, 1316, 32, 203, 8886, 44, 203, 31, 886, 390, 26, 15213, 27, 461, 390, 26, 725, 81, 3959, 27, 1654, 2298, 2307, 2670, 1471, 458, 2297, 328, 1370, 4654, 2609, 32, 334, 886, 488, 26, 17574, 81, 15213, 27, 461, 488, 26, 17574, 81, 368, 27, 7896, 883, 526, 1654, 436, 458, 32, 203, 37100, 44, 203, 31, 2297, 44, 1430, 91, 81, 15213, 203, 31, 2297, 44, 1430, 91, 81, 368, 203, 31, 636, 44, 14789, 1102, 13136, 10409, 3678, 4121, 334, 3048, 44, 12630, 2471, 2625, 322, 3568, 14789, 1102, 443, 551, 26, 12308, 44, 51, 7414, 89, 547, 334, 2552, 44, 1678, 555, 8632, 32, 42759, 32, 508, 33, 2180, 33, 33721, 31, 95, 449, 31, 612, 33, 203, 2116, 44, 203, 31, 358, 1376, 43851, 1884, 642, 3423, 11931, 6378, 642, 3423, 27, 203, 1648, 81, 11043, 44, 330, 36, 32, 38, 25, 203, 2184, 44, 334, 17086, 44, 284, 3048, 44, 284, 429, 3270, 432, 600, 4905, 17086, 32, 284, 827, 44, 596, 284, 20664, 44, 428, 17086, 81, 426, 1481, 334, 1845, 44, 284, 3048, 44, 284, 429, 3270, 432, 600, 4905, 3022, 3984, 6274, 30, 688, 1098, 4799, 322, 516, 7649, 101, 32, 284, 827, 44, 596, 284, 2129, 44, 9155, 284, 20664, 44, 428, 1123, 81, 3959, 30, 1123, 81, 3959, 81, 426, 1481, 334, 484, 2323, 44, 284, 3048, 44, 284, 429, 3270, 432, 322, 943, 2260, 2350, 32, 284, 827, 44, 596, 284, 2129, 44, 9155, 284, 20664, 44, 428, 484, 2323, 81, 426, 30, 636, 1481, 334, 25236, 44, 284, 3048, 44, 284, 429, 3270, 432, 322, 20196, 5880, 3998, 5746, 623, 322, 516, 7649, 32, 284, 827, 44, 596, 284, 20664, 44, 428, 25236, 81, 426, 30, 20196, 81, 4116, 1481, 334, 9958, 44, 284, 3048, 44, 284, 429, 886, 1910, 45417, 443, 32, 284, 429, 886, 14789, 1102, 10071, 372, 390, 26, 311, 14256, 27, 1412, 14014, 5929, 10064, 32, 284, 827, 44, 596, 284, 16682, 44, 428, 3193, 35, 30, 3193, 36, 30, 3193, 37, 30, 22205, 1481, 334, 48479, 81, 929, 89, 81, 297, 11065, 44, 284, 3048, 44, 284, 429, 886, 701, 2692, 516, 7649, 439, 2594, 367, 32, 284, 429, 886, 14789, 1102, 10071, 372, 390, 26, 44828, 27020, 27, 1412, 14014, 5929, 10064, 32, 284, 827, 44, 596, 284, 16682, 44, 428, 931, 27020, 30, 707, 272, 27020, 1481, 334, 3048, 44, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 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, 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 ]
[ 0, 0, 0, 0, 0, 0, 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, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 30, 766, 284, 623, 81, 9849, 203, 465, 5237, 203, 465, 2322, 203, 465, 5741, 203, 465, 7060, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 4963, 2847, 203, 1070, 11091, 38124, 1188, 9073, 30, 19249, 30, 1692, 5837, 30, 12889, 1001, 991, 30, 14403, 1001, 991, 30, 2498, 12236, 203, 589, 2575, 2262, 284, 9073, 32, 1553, 81, 2958, 346, 284, 415, 19326, 26, 3731, 30, 313, 30480, 657, 461, 5237, 32, 30480, 328, 766, 324, 2884, 5910, 81, 8022, 392, 313, 4466, 81, 8022, 10280, 291, 298, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 26, 3731, 32, 21823, 490, 291, 2322, 32, 31015, 26, 98, 27, 284, 1359, 280, 9073, 32, 371, 81, 1163, 26, 1815, 27, 284, 19249, 32, 19186, 81, 2493, 26, 1163, 27, 284, 1596, 44, 291, 5741, 32, 1338, 440, 19569, 2196, 821, 904, 101, 6069, 86, 20, 904, 3486, 308, 1163, 710, 1696, 81, 2468, 2188, 1359, 710, 1696, 81, 625, 7698, 291, 22329, 81, 15678, 280, 2498, 12236, 32, 17450, 7256, 346, 291, 10355, 81, 1786, 280, 12889, 1001, 991, 32, 12364, 28632, 26, 1163, 30, 22329, 81, 15678, 30, 2933, 27, 291, 32011, 81, 1786, 280, 14403, 1001, 991, 32, 3791, 2978, 342, 395, 26, 1163, 30, 22329, 81, 15678, 30, 2933, 27, 291, 5258, 280, 1692, 5837, 32, 34914, 346, 291, 22329, 81, 15678, 32, 669, 81, 452, 81, 5837, 26, 5837, 27, 291, 10355, 81, 1786, 32, 669, 81, 452, 81, 5837, 26, 5837, 27, 291, 32011, 81, 1786, 32, 669, 81, 452, 81, 5837, 26, 5837, 27, 291, 665, 4899, 26, 1333, 378, 30, 617, 711, 324, 5741, 32, 8447, 463, 15628, 18760, 5221, 780, 30, 8113, 31376, 2790, 26061, 1054, 2835, 497, 683, 324, 10355, 81, 1786, 32, 2679, 26, 1978, 81, 10727, 47, 1815, 27, 324, 32011, 81, 1786, 32, 2679, 26, 1978, 81, 10727, 47, 1815, 27, 291, 7060, 32, 7295, 26, 32110, 26, 7295, 30, 330, 14840, 5221, 780, 370, 7060, 32, 14840, 19794, 471, 4899, 27, 291, 665, 629, 81, 4531, 26, 1333, 378, 30, 617, 711, 324, 5237, 32, 4775, 26, 35, 27, 291, 7060, 32, 7295, 26, 7295, 32, 14840, 1844, 30, 629, 81, 4531, 27, 291, 19249, 32, 470, 81, 496, 26, 1163, 32, 371, 463, 496, 370, 1665, 490, 291, 5258, 32, 1945, 346, 284, 2940, 3268, 619, 484, 44, 291, 9073, 32, 1216, 81, 3893, 26, 87, 27, 291, 5237, 32, 4775, 26, 35, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 2575, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 5, 7, 0, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 1, 1, 5, 6, 6, 6, 5, 2, 2, 3, 6, 7, 6, 6, 8, 8, 4, 4, 6, 7, 5, 5, 6, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 3, 3, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 12, 11, 12, 10, 4, 4, 7, 8, 7, 8, 7, 2, 2, 4, 4, 6, 7, 7, 7, 6, 7, 6, 2, 2, 5, 6, 6, 6, 5, 6, 5, 2, 2, 3, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 11, 10, 12, 12, 12, 12, 9, 10, 12, 12, 12, 12, 4, 4, 7, 7, 6, 6, 9, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 8, 4, 4, 6, 6, 9, 8, 9, 8, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 5, 6, 7, 7, 6, 6, 6, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 10, 10, 9, 10, 9, 11, 11, 11, 10, 11, 9, 6, 6, 10, 10, 9, 10, 9, 11, 11, 11, 10, 11, 9, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 11, 11, 11, 11, 9, 10, 11, 11, 9, 7, 7, 4, 4, 5, 6, 6, 6, 7, 7, 6, 6, 6, 5, 5, 9, 10, 9, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 9, 11, 11, 9, 9, 4, 4, 7, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 9, 9, 8, 9, 8, 5, 5, 8, 9, 8, 9, 8, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 2, 7, 7, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 8, 2, 1, 1, 2, 2, 2, 8, 8, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 1, 1, 1, 2, 2, 10, 1, 1, 2, 1, 1, 2, 2, 2, 10, 10, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 3, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 0, 8, 8, 0, 0, 1, 1, 1, 1, 8, 8, 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 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1133, 1188, 9368, 203, 1070, 5034, 32, 1040, 1188, 319, 203, 1070, 1359, 1188, 1359, 203, 465, 7744, 203, 465, 3995, 203, 465, 6436, 619, 2065, 203, 1070, 6436, 32, 1356, 32, 681, 81, 1553, 1188, 4011, 30, 17463, 203, 465, 7138, 203, 1070, 3996, 81, 3732, 32, 464, 1188, 319, 203, 465, 12500, 203, 24411, 32, 539, 463, 32308, 683, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 3995, 1188, 20564, 30, 3964, 203, 1070, 18414, 32, 15378, 32, 20973, 32, 39076, 32, 282, 2423, 1188, 38382, 615, 619, 22909, 81, 47950, 615, 203, 465, 5237, 203, 823, 8159, 44, 284, 665, 1156, 1664, 3207, 784, 30, 36575, 30, 3996, 81, 426, 30, 1420, 47, 35, 30, 15941, 300, 81, 269, 47, 35, 87, 31, 35, 40, 30, 36835, 401, 103, 47, 34, 32, 34, 35, 30, 9792, 280, 225, 35, 30, 353, 36835, 368, 3434, 47, 34, 32, 34, 34, 34, 35, 30, 4588, 81, 2649, 47, 35, 30, 2968, 81, 22400, 47, 35, 30, 38933, 3945, 33792, 12488, 81, 1055, 280, 225, 34, 30, 30225, 81, 266, 81, 6124, 47, 37, 34, 30, 353, 1929, 81, 5459, 47, 2521, 711, 291, 630, 32, 426, 81, 452, 81, 314, 280, 2149, 291, 630, 32, 2255, 280, 6466, 26, 47682, 47, 47682, 27, 291, 630, 32, 2255, 81, 426, 280, 3996, 81, 426, 291, 630, 32, 1945, 280, 1420, 291, 630, 32, 19245, 280, 9792, 291, 630, 32, 1516, 81, 5459, 280, 1929, 81, 5459, 291, 630, 32, 1537, 81, 19869, 280, 225, 34, 291, 630, 32, 11368, 81, 5783, 280, 428, 35, 32, 34, 79, 319, 630, 32, 2255, 32, 1516, 81, 12317, 346, 291, 630, 32, 32492, 401, 103, 280, 36835, 401, 103, 291, 630, 32, 32492, 368, 3434, 280, 36835, 368, 3434, 291, 630, 32, 20635, 81, 266, 81, 6124, 280, 30225, 81, 266, 81, 6124, 291, 630, 32, 32620, 300, 81, 269, 280, 1897, 26, 32620, 300, 81, 269, 27, 291, 630, 32, 2157, 81, 22400, 280, 2968, 81, 22400, 291, 630, 32, 11368, 280, 1665, 291, 630, 32, 3855, 81, 5459, 280, 1605, 291, 630, 32, 5854, 81, 668, 280, 1665, 291, 630, 32, 1393, 81, 39076, 2810, 280, 1665, 291, 630, 32, 2811, 81, 2649, 280, 4588, 81, 2649, 291, 630, 32, 11368, 81, 1055, 280, 12488, 81, 1055, 291, 630, 32, 17395, 3945, 280, 38933, 3945, 291, 630, 32, 43452, 1191, 81, 731, 81, 17395, 3945, 280, 1605, 291, 630, 32, 32620, 3886, 280, 3177, 291, 630, 32, 507, 2972, 86, 280, 3177, 284, 665, 11648, 81, 16297, 26, 784, 30, 1430, 81, 462, 81, 1349, 352, 47, 2521, 30, 1847, 81, 329, 47, 2521, 711, 291, 415, 1430, 81, 462, 81, 1349, 352, 438, 1665, 44, 324, 630, 32, 83, 81, 1729, 280, 428, 1449, 1162, 2356, 32, 6009, 26, 784, 32, 47337, 27, 474, 2065, 32, 6009, 26, 784, 32, 8224, 490, 517, 630, 32, 1516, 81, 12317, 30, 1847, 81, 329, 2177, 319, 308, 1657, 26, 784, 32, 47337, 7824, 35, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 4, 6, 6, 6, 5, 6, 6, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 6, 6, 4, 4, 5, 5, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 4, 6, 6, 5, 5, 6, 4, 4, 6, 6, 6, 6, 5, 6, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 9, 8, 7, 7, 10, 11, 9, 10, 10, 10, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 7, 7, 7, 7, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 12, 12, 18, 17, 18, 17, 19, 18, 19, 17, 15, 15, 17, 18, 17, 19, 18, 19, 17, 13, 13, 14, 15, 15, 15, 12, 12, 13, 13, 12, 9, 9, 13, 13, 15, 14, 15, 13, 12, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 1, 0, 7, 7, 1, 2, 1, 4, 4, 4, 7, 7, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 10, 10, 0, 0, 0, 2, 1, 1, 2, 0, 12, 12, 0, 2, 1, 1, 0, 13, 13, 13, 13, 13, 13, 0, 14, 14, 1, 2, 1, 4, 1, 6, 1, 8, 8, 14, 14, 0, 3, 3, 2, 2, 2, 0, 15, 15, 0, 16, 16, 16, 16, 16, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 2, 2, 2, 0, 0, 0, 9, 2, 2, 2, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 2, 2, 2, 13, 13, 2, 2, 2, 2, 0, 0, 15, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 17, 2, 2, 2, 0, 0, 19, 2, 2, 2, 0, 21, 2, 0, 0, 23, 23, 2, 2, 2, 0, 0, 0, 0, 25, 2, 2, 2, 2, 2, 0, 0, 27, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 3, 3, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2 ]
[ 465, 5237, 30, 316, 30, 2322, 203, 1070, 7138, 1188, 2340, 203, 3647, 81, 1366, 81, 268, 280, 316, 32, 6993, 463, 80, 5272, 78, 18899, 28, 1018, 683, 203, 3647, 81, 34527, 81, 268, 280, 316, 32, 6993, 463, 35573, 33, 1481, 78, 326, 1018, 683, 203, 3647, 81, 416, 81, 268, 280, 316, 32, 6993, 463, 80, 766, 326, 5272, 683, 203, 1126, 81, 268, 280, 316, 32, 6993, 463, 80, 10692, 2805, 3103, 9014, 81, 10667, 78, 101, 29, 6505, 12390, 66, 46, 681, 1563, 2805, 913, 78, 101, 29, 6505, 78, 105, 14541, 48813, 101, 28, 24370, 1130, 49, 5421, 101, 8088, 49, 66, 46, 426, 5213, 105, 40935, 101, 18899, 1162, 49, 66, 46, 1132, 8828, 80, 2177, 3730, 78, 19188, 203, 5006, 81, 268, 280, 316, 32, 6993, 463, 14747, 101, 29481, 683, 203, 10546, 81, 268, 280, 316, 32, 6993, 463, 3103, 9014, 81, 10667, 319, 683, 203, 5320, 81, 1366, 81, 268, 280, 316, 32, 6993, 463, 5320, 3424, 6740, 683, 203, 5320, 81, 416, 81, 268, 280, 316, 32, 6993, 463, 15837, 203, 6270, 81, 7345, 81, 268, 280, 316, 32, 6993, 440, 12390, 7838, 78, 105, 9905, 24183, 785, 29, 9905, 12390, 14351, 105, 14451, 203, 2627, 81, 7345, 81, 268, 280, 316, 32, 6993, 440, 12390, 7838, 78, 105, 27, 2699, 24183, 785, 24913, 2699, 12390, 14351, 105, 14451, 203, 589, 2887, 81, 25072, 26, 101, 711, 284, 442, 316, 32, 1113, 26, 2627, 81, 7345, 81, 268, 30, 330, 11468, 88, 52, 78, 89, 46, 35, 48, 11468, 88, 68, 370, 316, 32, 1113, 26, 6270, 81, 7345, 81, 268, 30, 330, 11468, 88, 59, 78, 89, 46, 35, 48, 11468, 88, 68, 370, 309, 490, 203, 5320, 280, 3177, 203, 954, 4446, 280, 1605, 203, 7190, 280, 1605, 203, 4994, 280, 1605, 203, 325, 2069, 26, 3731, 32, 6118, 27, 848, 225, 35, 44, 284, 1914, 761, 280, 5237, 32, 6118, 77, 35, 79, 203, 1824, 44, 284, 1459, 440, 6772, 44, 225, 1930, 81, 1588, 81, 1637, 32, 978, 1914, 761, 657, 284, 4323, 26, 35, 27, 203, 1793, 2156, 26, 1855, 761, 30, 330, 100, 683, 619, 281, 1826, 90, 44, 284, 1603, 280, 330, 1536, 25, 284, 436, 1628, 328, 281, 1826, 90, 44, 291, 3610, 1293, 280, 1603, 291, 415, 5093, 81, 1366, 81, 268, 32, 2872, 26, 928, 711, 324, 1603, 280, 330, 1588, 25, 291, 4348, 5093, 81, 416, 81, 268, 32, 2872, 26, 928, 27, 461, 1603, 610, 330, 1588, 950, 324, 4036, 291, 4348, 5093, 81, 34527, 81, 268, 32, 2872, 26, 928, 27, 461, 1603, 610, 330, 1588, 950, 324, 1603, 280, 330, 1588, 25, 291, 4348, 646, 10338, 461, 11771, 81, 268, 32, 2872, 26, 928, 711, 324, 1603, 280, 330, 1536, 25, 291, 4348, 10338, 461, 10338, 81, 416, 81, 268, 32, 2872, 26, 928, 711, 324, 10338, 280, 3177, 291, 4348, 1603, 610, 330, 1588, 950, 324, 1603, 280, 330, 9569, 25, 324, 10338, 280, 10338, 81, 1366, 81, 268, 32, 2872, 26, 928, 27, 291, 415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 6, 6, 6, 6, 6, 5, 5, 8, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 5, 7, 8, 7, 8, 8, 8, 8, 8, 7, 7, 10, 9, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 7, 7, 0, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 2, 2, 0, 3, 2, 2, 0, 1, 1, 4, 6, 5, 6, 4, 2, 2, 3, 1, 1, 1, 5, 4, 4, 6, 7, 5, 6, 5, 1, 2, 2, 2, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 7, 6, 0, 1, 1, 6, 7, 7, 6, 6, 8, 8, 4, 4, 6, 6, 1, 1, 1, 4, 4, 6, 6, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 7, 6, 6, 4, 4, 5, 8, 8, 8, 8, 7, 8, 7, 8, 7, 5, 5, 8, 8, 10, 10, 5, 5, 6, 10, 10, 10, 10, 9, 10, 9, 10, 9, 7, 7, 8, 8, 10, 10, 6, 6, 5, 5, 6, 10, 10, 10, 10, 9, 10, 9, 10, 9, 7, 7, 8, 8, 10, 10, 6, 6, 9, 9, 11, 11, 5, 5, 6, 8, 7, 7, 10, 10, 9, 10, 9, 10, 9, 6, 6, 9, 9, 11, 11, 5, 5, 6, 7, 7, 10, 10, 10, 10, 9, 10, 9, 10, 9, 6, 6, 9, 9, 5, 5, 6, 7, 7, 9, 9, 6, 6, 9, 9, 11, 11, 7, 7, 9, 9, 12, 12, 12, 12, 11, 12, 11, 12, 11, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 17, 1, 0, 1, 2, 1, 1, 1, 2, 17, 17, 17, 0, 0, 0, 0, 2, 2, 2, 2, 17, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 18, 18, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 18, 18, 18, 0, 0, 1, 2, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 5, 5, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 4, 1, 1, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 5, 5, 0, 0, 1, 2, 1, 1, 6, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 6, 6, 0, 0, 1, 2, 1, 1, 7, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 7, 7, 0, 0, 1, 1, 8, 1, 1, 1, 2, 8, 8, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5 ]
[ 465, 45977, 203, 823, 47800, 26, 687, 1729, 32, 13172, 711, 284, 665, 9336, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 4275, 30, 8644, 81, 1274, 27, 284, 665, 9843, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 4275, 30, 286, 3205, 81, 1274, 27, 203, 823, 29494, 279, 8770, 26, 687, 1729, 32, 44571, 8770, 711, 284, 665, 9336, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 784, 32, 4275, 30, 8644, 81, 1274, 5594, 34, 79, 203, 823, 29494, 279, 11717, 26, 687, 1729, 32, 44571, 11717, 711, 284, 665, 9843, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 784, 32, 4275, 30, 286, 3205, 81, 1274, 5594, 34, 79, 203, 823, 7537, 3976, 26, 13172, 30, 687, 1729, 32, 1862, 3976, 711, 284, 3097, 203, 823, 7537, 3300, 26, 13172, 30, 687, 1729, 32, 33667, 711, 284, 3097, 203, 589, 622, 1582, 3038, 2262, 284, 442, 45977, 32, 13172, 1120, 26, 291, 636, 1057, 2219, 35, 36, 39, 42, 370, 291, 9336, 47, 13172, 922, 4434, 30, 291, 9843, 47, 13172, 922, 5460, 30, 291, 33530, 13023, 47, 44571, 8770, 30, 291, 33530, 14858, 47, 44571, 11717, 30, 291, 3443, 6308, 47, 33667, 30, 291, 3443, 7572, 47, 1862, 3976, 30, 284, 829, 203, 286, 3205, 81, 1274, 280, 308, 284, 1044, 10255, 106, 34, 34, 25, 647, 284, 1044, 10255, 106, 34, 35, 25, 647, 284, 1044, 10255, 106, 34, 36, 25, 647, 284, 1044, 10255, 106, 34, 37, 25, 647, 284, 1044, 10255, 106, 34, 38, 25, 647, 284, 1044, 10255, 106, 34, 39, 25, 647, 284, 1044, 10255, 106, 34, 40, 25, 647, 284, 1044, 10255, 106, 34, 41, 25, 647, 284, 1044, 10255, 106, 34, 42, 25, 647, 284, 1044, 10255, 102, 25, 351, 284, 1044, 10255, 96, 25, 351, 284, 1044, 10255, 106, 34, 84, 25, 647, 284, 1044, 10255, 106, 34, 85, 25, 647, 284, 1044, 10255, 100, 25, 351, 284, 1044, 10255, 106, 34, 87, 25, 647, 284, 1044, 10255, 106, 34, 88, 25, 647, 284, 1044, 10255, 106, 35, 34, 25, 647, 284, 1044, 10255, 106, 35, 35, 25, 647, 284, 1044, 10255, 106, 35, 36, 25, 647, 284, 1044, 10255, 106, 35, 37, 25, 647, 284, 1044, 10255, 106, 35, 38, 25, 647, 284, 1044, 10255, 106, 35, 39, 25, 647, 284, 1044, 10255, 106, 35, 40, 25, 647, 284, 1044, 10255, 106, 35, 41, 25, 647, 284, 1044, 10255, 106, 35, 42, 25, 647, 284, 1044, 10255, 106, 35, 43, 25, 647, 284, 1044, 10255, 106, 35, 83, 25, 647, 284, 1044, 10255, 106, 35, 84, 25, 647, 284, 1044, 10255, 106, 35, 85, 25, 647, 284, 1044, 10255, 106, 35, 86, 25, 647, 284, 1044, 10255, 106, 35, 87, 25, 647, 284, 1044, 10255, 106, 35, 88, 25, 647 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 4, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 6, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 9, 9, 8, 5, 5, 5, 6, 9, 9, 8, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 6, 4, 4, 4, 6, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4 ]
[ 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 3, 2, 0, 5, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 1, 4, 4, 1, 2, 1, 2, 3, 2, 0, 5, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 5, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 1, 2, 1, 0, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 5, 1, 2, 1, 0, 4, 4, 1, 2, 1, 2, 0, 0, 3, 2, 2, 2, 4, 4, 0, 5, 5, 1, 2, 1, 2, 0, 0, 3, 2, 2, 5, 5, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 2, 1, 1, 1, 5, 0, 1, 2, 1, 1, 1, 0, 7, 2, 2, 1, 1, 1, 0, 9, 2, 2, 1, 1, 1, 0, 11, 2, 1, 1, 1, 0, 13, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 309, 27392, 81, 100, 671, 81, 4661, 203, 1070, 827, 978, 1188, 1156, 2116, 7642, 1156, 11794, 7642, 1156, 426, 7642, 1156, 1648, 505, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 21379, 10198, 681, 978, 2847, 203, 9081, 280, 428, 284, 330, 26275, 32, 407, 32, 4846, 431, 542, 370, 284, 330, 26275, 32, 407, 32, 10425, 370, 284, 330, 26275, 32, 407, 32, 1071, 687, 370, 284, 330, 26275, 32, 407, 32, 1146, 26275, 370, 284, 330, 26275, 32, 407, 32, 3403, 2634, 267, 370, 203, 79, 203, 1146, 26275, 81, 9387, 280, 5053, 2958, 950, 2726, 641, 555, 2180, 32, 2958, 32, 1088, 13093, 1665, 4370, 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, 1156, 426, 505, 203, 11794, 280, 1156, 11794, 505, 203, 2116, 280, 1156, 2116, 505, 203, 1648, 280, 1156, 1648, 505, 203, 3779, 280, 1503, 203, 4189, 280, 330, 272, 25, 203, 10444, 81, 15719, 280, 2107, 81, 1832, 370, 330, 13584, 101, 32, 1199, 370, 5608, 4135, 81, 2780, 785, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 10425, 81, 1017, 81, 20940, 280, 3177, 203, 916, 81, 4661, 280, 330, 26275, 81, 100, 671, 81, 4661, 25, 203, 916, 81, 4661, 81, 983, 280, 428, 26275, 81, 100, 671, 81, 4661, 32, 371, 81, 916, 81, 4661, 81, 983, 7662, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 4756, 81, 15705, 280, 330, 978, 681, 303, 752, 542, 25, 203, 24189, 81, 7594, 280, 301, 203, 111, 203, 24189, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 681, 978, 32, 8581, 370, 330, 681, 978, 12217, 370, 275, 330, 70, 11192, 107, 38984, 677, 418, 5371, 91, 370, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 681, 978, 370, 330, 681, 978, 12217, 370, 275, 428, 2116, 614, 225, 35, 27, 203, 79, 203, 8581, 1338, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 681, 978, 370, 330, 681, 978, 12217, 370, 275, 4081, 30, 330, 681, 978, 370, 330, 3582, 1628, 3048, 432, 2074, 6418, 275, 330, 6417, 36786, 1425, 203, 79, 203, 8629, 81, 2282, 280, 1524, 203, 497, 523, 9027, 110, 7084, 403, 499, 5540, 34657, 5781, 9027, 82, 203, 2993, 203, 8629, 81, 14842, 280, 1524, 203, 497, 523, 2700, 110, 7084, 403, 499, 978, 44, 2067, 5781, 2700, 82, 203, 497, 523, 1815, 110, 7084, 403, 499, 978, 44, 2067, 5781, 1815, 82, 203, 497, 523, 2521, 110, 7084, 403, 499, 978, 44, 2067, 5781, 2521, 82, 203, 497, 523, 5267, 110, 7084, 403, 499, 978, 44, 2067, 5781, 5267, 82, 203, 497, 523, 10095, 110, 7084, 403, 499, 978, 44, 2067, 5781, 10095, 82, 203, 497, 523, 2420, 110, 7084, 403, 499, 978, 44, 823, 5781, 2420, 82, 203, 497, 523, 2665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 7, 7, 7, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 0, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 6, 5, 4, 5, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 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, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 7, 1, 9, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 638, 15245, 1363, 510, 690, 1188, 47585, 1564, 590, 690, 203, 1070, 638, 3310, 42, 510, 690, 1188, 9354, 42, 590, 690, 203, 1070, 638, 23709, 297, 510, 690, 1188, 358, 60, 1296, 590, 690, 203, 1070, 638, 87, 1008, 11554, 510, 690, 1188, 516, 13686, 21397, 590, 690, 203, 1070, 638, 6193, 36, 37, 35, 36, 510, 690, 1188, 21124, 36, 37, 35, 36, 590, 690, 203, 1070, 638, 87, 7194, 100, 510, 690, 1188, 45614, 2183, 68, 590, 690, 203, 1070, 638, 2219, 43, 38, 43, 510, 690, 1188, 17048, 43, 38, 43, 590, 690, 203, 1070, 638, 7380, 39, 510, 690, 1188, 7758, 39, 590, 690, 203, 1070, 638, 87, 674, 105, 510, 690, 1188, 516, 7006, 73, 590, 690, 203, 823, 9805, 3746, 1564, 590, 690, 26, 2659, 885, 1564, 590, 690, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 47585, 1564, 590, 690, 3667, 1664, 3207, 784, 27, 291, 630, 1114, 95, 590, 3715, 280, 428, 324, 9354, 42, 590, 690, 1026, 324, 358, 60, 1296, 590, 690, 1026, 324, 516, 13686, 21397, 590, 690, 1026, 324, 21124, 36, 37, 35, 36, 590, 690, 1026, 324, 45614, 2183, 68, 590, 690, 1026, 324, 17048, 43, 38, 43, 590, 690, 1026, 324, 7758, 39, 590, 690, 1026, 324, 516, 7006, 73, 590, 690, 346, 291, 1481, 291, 630, 32, 4534, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 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, 4, 4, 4, 1, 1, 3, 3, 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, 4, 4, 1, 1, 3, 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, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 9, 9, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 46032, 203, 22471, 81, 4246, 81, 40870, 280, 308, 284, 330, 11402, 370, 203, 27, 203, 589, 5352, 81, 1871, 26, 1871, 81, 2946, 30, 9737, 81, 2585, 711, 284, 415, 646, 13915, 81, 2946, 44, 291, 3636, 10572, 924, 26, 324, 330, 6574, 2192, 1591, 432, 322, 5420, 10516, 10737, 44, 330, 324, 17246, 25484, 1643, 43061, 32, 2524, 26, 22471, 81, 4246, 81, 40870, 490, 291, 829, 284, 4348, 13915, 81, 2946, 646, 328, 47729, 1345, 81, 4246, 81, 40870, 44, 291, 3636, 10572, 924, 26, 324, 6113, 2537, 20, 10516, 438, 646, 5420, 810, 23533, 6168, 5327, 96, 25, 324, 330, 6574, 2192, 1591, 432, 322, 5420, 10516, 10737, 44, 330, 324, 17246, 25484, 1643, 26, 1871, 81, 2946, 30, 17359, 32, 2524, 26, 22471, 81, 4246, 81, 40870, 490, 291, 829, 284, 2297, 280, 46032, 32, 465, 81, 1647, 26, 291, 330, 16519, 6168, 32, 37502, 32, 34917, 1643, 26, 1871, 81, 2946, 490, 284, 415, 9737, 81, 2585, 44, 291, 2297, 32, 8188, 346, 284, 813, 44, 291, 1459, 26, 1647, 3667, 1427, 8223, 291, 415, 1509, 463, 17743, 308, 107, 33, 64, 711, 11134, 610, 330, 107, 950, 324, 2297, 32, 4898, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 5, 3, 3, 3, 5, 7, 7, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 10, 9, 11, 12, 11, 12, 12, 12, 12, 12, 11, 7, 7, 3, 3, 4, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 4, 4, 4, 6, 8, 8, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 11, 10, 11, 11, 11, 10, 10, 12, 13, 12, 13, 13, 13, 13, 13, 12, 8, 8, 2, 2, 4, 4, 6, 7, 7, 7, 6, 6, 6, 10, 10, 10, 10, 10, 10, 9, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 3, 3, 3, 7, 8, 7, 3, 3, 4, 4, 4, 8, 10, 9, 10, 10, 5, 5, 6, 9, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 6, 6, 10, 11, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 4, 4, 4, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 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 ]
[ 823, 6374, 2212, 26, 1473, 711, 284, 5381, 750, 10905, 280, 2726, 4001, 370, 330, 13990, 3173, 370, 330, 1208, 683, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 605, 81, 2991, 280, 2149, 291, 630, 1114, 605, 81, 1126, 280, 630, 32, 2303, 750, 10905, 77, 34, 79, 291, 630, 32, 605, 81, 1110, 280, 2149, 291, 630, 32, 605, 81, 5464, 81, 1311, 280, 2149, 284, 477, 2433, 284, 665, 706, 81, 1126, 26, 784, 711, 291, 442, 630, 1114, 605, 81, 1126, 284, 477, 605, 81, 1126, 32, 16527, 284, 665, 706, 81, 1126, 26, 784, 30, 786, 711, 291, 415, 786, 646, 328, 630, 32, 2303, 750, 10905, 44, 324, 2080, 280, 36196, 2473, 2524, 26, 784, 32, 2303, 750, 10905, 27, 324, 3636, 10091, 463, 605, 81, 1126, 2298, 526, 1591, 432, 44, 904, 101, 25, 904, 2080, 27, 291, 630, 1114, 605, 81, 1126, 280, 786, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 5, 7, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 2, 2, 6, 6, 6, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 7, 7, 7, 8, 9, 9, 9, 6, 6, 6, 9, 9, 13, 12, 11, 13, 12, 13, 13, 13, 11, 7, 7, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 5, 5, 8, 9, 9, 9, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 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, 1133, 203, 465, 14785, 619, 5239, 203, 823, 12134, 17883, 26, 4213, 32, 858, 32, 17883, 711, 334, 665, 17521, 4934, 26, 784, 711, 284, 623, 5239, 32, 3135, 346, 619, 13597, 44, 397, 816, 280, 5239, 32, 8662, 26, 35, 34, 27, 397, 533, 280, 5239, 32, 8662, 26, 39, 27, 397, 1056, 280, 5239, 32, 669, 26, 106, 30, 533, 27, 397, 561, 483, 280, 225, 35, 34, 34, 397, 1477, 81, 1003, 280, 1133, 32, 1003, 346, 397, 436, 617, 328, 2155, 26, 40004, 711, 291, 13597, 32, 1945, 26, 1267, 27, 397, 3380, 81, 8991, 81, 1003, 280, 1133, 32, 1003, 346, 429, 1477, 81, 1003, 397, 630, 32, 3734, 81, 17411, 26, 616, 636, 347, 1036, 81, 8991, 81, 1003, 392, 616, 18042, 81, 1003, 47, 2999, 81, 8991, 81, 1003, 33, 40004, 30, 616, 561, 483, 47, 40004, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 334, 5239, 32, 858, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 10, 11, 10, 8, 8, 5, 5, 5, 8, 8, 10, 11, 10, 11, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 10, 10, 6, 6, 9, 8, 8, 9, 9, 9, 6, 6, 9, 9, 8, 8, 10, 11, 10, 6, 6, 7, 7, 7, 9, 10, 9, 7, 7, 11, 12, 11, 12, 11, 6, 6, 9, 9, 9, 9, 8, 8, 11, 12, 11, 9, 9, 10, 10, 6, 6, 9, 10, 10, 10, 9, 9, 9, 10, 12, 12, 12, 12, 12, 12, 9, 9, 11, 11, 10, 12, 12, 12, 12, 12, 11, 12, 9, 9, 9, 11, 10, 11, 9, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 6, 7, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 1, 1, 0, 5, 5, 1, 2, 0, 0, 2, 1, 2, 2, 5, 5, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 3, 3, 5, 5, 5, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 5, 2, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 22045, 1188, 15358, 30, 707, 7345, 203, 1070, 34574, 32, 2282, 32, 2582, 1188, 32894, 203, 1070, 34574, 32, 2282, 32, 2304, 1188, 2361, 30, 622, 81, 4073, 30, 6122, 81, 983, 203, 1070, 34574, 32, 2282, 32, 1586, 906, 1188, 4448, 30, 5170, 203, 1070, 34574, 32, 2282, 32, 1586, 906, 1188, 4808, 19349, 30, 4808, 1868, 1337, 12759, 203, 1070, 34574, 32, 2282, 32, 4219, 81, 6038, 1188, 29714, 1102, 12145, 203, 1070, 34574, 32, 5866, 32, 13507, 32, 1439, 1188, 622, 81, 2630, 81, 1338, 203, 19675, 81, 4530, 69, 280, 308, 35, 32, 34, 30, 225, 36, 32, 34, 27, 203, 823, 1682, 23153, 11063, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1123, 30, 3570, 711, 291, 630, 32, 725, 280, 1123, 291, 630, 32, 4073, 280, 622, 81, 4073, 26, 2957, 30, 1245, 81, 4351, 1057, 20459, 683, 291, 630, 32, 14032, 81, 1515, 280, 3570, 32, 371, 463, 14032, 81, 1515, 370, 3056, 6698, 33, 14032, 683, 291, 630, 32, 3524, 81, 2582, 280, 32894, 26, 784, 32, 14032, 81, 1515, 30, 16911, 81, 426, 1057, 3524, 683, 291, 630, 32, 2630, 81, 2582, 280, 32894, 26, 784, 32, 14032, 81, 1515, 30, 16911, 81, 426, 1057, 2630, 683, 291, 630, 32, 20459, 81, 983, 280, 3570, 32, 371, 463, 668, 81, 20459, 81, 983, 370, 3056, 20459, 25844, 291, 415, 646, 630, 32, 20459, 81, 983, 32, 20643, 3247, 7831, 324, 630, 32, 20459, 81, 983, 1454, 13637, 291, 630, 32, 1536, 81, 1986, 81, 1648, 280, 225, 35, 32, 34, 291, 630, 32, 1986, 81, 1110, 280, 301, 1802, 35, 32, 34, 44, 630, 32, 104, 35, 81, 1643, 81, 1986, 30, 1802, 36, 32, 34, 44, 630, 32, 104, 36, 81, 1643, 81, 1986, 30, 291, 320, 284, 665, 622, 81, 1473, 81, 2582, 26, 784, 30, 7231, 81, 2875, 711, 291, 442, 29714, 1102, 12145, 32, 371, 81, 1473, 81, 2582, 26, 6038, 81, 2875, 30, 630, 32, 14032, 81, 1515, 27, 284, 665, 617, 2208, 81, 1648, 26, 784, 30, 5081, 81, 1648, 711, 291, 1137, 81, 2076, 280, 330, 16746, 1503, 904, 100, 25, 904, 5081, 81, 1648, 291, 1596, 44, 324, 1503, 280, 1897, 26, 1294, 81, 1648, 32, 94, 7201, 463, 104, 2847, 291, 2940, 10091, 44, 324, 3636, 10091, 26, 530, 81, 2076, 27, 291, 415, 646, 1346, 26, 1648, 610, 354, 436, 354, 328, 45309, 17598, 81, 4530, 69, 711, 324, 3636, 10091, 26, 530, 81, 2076, 27, 291, 442, 1503, 284, 665, 617, 2208, 81, 983, 26, 784, 30, 1326, 711, 291, 5063, 81, 983, 280, 1326, 32, 983, 77, 1657, 26, 784, 32, 20459, 81, 983, 27, 429, 225, 35, 10056, 291, 1596, 44, 324, 5081, 81, 1648, 30, 6109, 280, 6122, 81, 983, 26, 6008, 81, 983, 30, 225, 35, 30, 225, 36, 30, 2933, 27, 291, 2940, 10091, 44, 324, 3636, 10091, 463, 2023, 3497, 3191, 683, 291, 1596, 44, 324, 1503, 280, 630, 1114, 2208, 81, 1648, 26, 1294, 81, 1648, 27, 291, 2940, 10091, 44, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 4, 4, 4, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 8, 8, 10, 10, 9, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 8, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 4, 4, 5, 6, 9, 10, 10, 10, 8, 9, 8, 10, 5, 5, 9, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 9, 7, 7, 8, 8, 4, 4, 5, 5, 5, 8, 8, 10, 13, 13, 13, 12, 13, 13, 12, 14, 14, 5, 5, 6, 6, 6, 6, 8, 10, 11, 11, 11, 10, 4, 4, 5, 6, 8, 10, 9, 9, 8, 9, 9, 9, 10, 10, 10, 10, 8, 5, 5, 7, 9, 10, 10, 10, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 7, 11, 11, 13, 12, 13, 13, 13, 11, 9, 9, 10, 8, 4, 4, 5, 5, 5, 10, 10, 9, 9, 8, 8, 10, 10, 10, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 10, 10, 5, 5, 6, 6, 6, 6, 8, 10, 12, 12, 12, 12, 4, 4, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 4, 3, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 6, 1, 0, 2, 2, 2, 0, 2, 1, 2, 6, 6, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 0, 1, 1, 1, 1, 1, 4, 4, 3, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 2, 4, 4, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3 ]
[ 465, 2322, 203, 465, 12460, 203, 465, 1133, 203, 465, 6234, 203, 465, 16539, 203, 465, 5592, 8358, 1356, 203, 465, 5741, 203, 1270, 44, 284, 1188, 3621, 284, 645, 337, 2269, 1188, 337, 2269, 284, 645, 8684, 32, 7393, 1188, 617, 203, 7343, 29986, 44, 284, 1188, 3089, 749, 98, 284, 645, 3089, 749, 98, 1188, 3621, 284, 645, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 284, 645, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 823, 971, 41473, 2059, 44, 284, 665, 1156, 1664, 3207, 784, 30, 2601, 47, 42, 34, 43, 34, 711, 291, 630, 32, 625, 280, 2601, 291, 630, 32, 6320, 761, 280, 1665, 291, 1984, 280, 330, 525, 555, 5007, 6069, 86, 25, 904, 2601, 291, 630, 32, 5866, 280, 5592, 8358, 1356, 32, 2059, 5392, 26, 1984, 30, 2608, 81, 4108, 280, 2933, 829, 291, 630, 32, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 284, 665, 1048, 26, 784, 30, 1474, 711, 291, 415, 630, 32, 4073, 44, 324, 630, 32, 4073, 32, 731, 4912, 101, 20, 904, 1474, 829, 291, 813, 44, 324, 1459, 330, 60, 41473, 21223, 44, 904, 101, 25, 904, 1474, 284, 665, 1519, 26, 784, 711, 291, 442, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 284, 665, 739, 21121, 974, 26, 784, 30, 12497, 761, 711, 291, 630, 32, 6320, 761, 280, 12497, 761, 284, 665, 1477, 26, 784, 711, 291, 4533, 280, 2149, 291, 4533, 32, 1877, 26, 2322, 32, 12757, 829, 291, 415, 2322, 32, 426, 610, 330, 566, 950, 324, 18935, 280, 40551, 291, 813, 44, 324, 18935, 280, 25487, 291, 25405, 280, 2322, 32, 983, 32, 2524, 26, 630, 32, 983, 1026, 31001, 370, 330, 1859, 370, 330, 1356, 370, 35100, 6857, 25, 829, 291, 4533, 710, 25418, 43401, 785, 280, 2322, 32, 983, 32, 2524, 26, 630, 32, 983, 1026, 31001, 370, 330, 1859, 25, 474, 18935, 829, 474, 18935, 32, 2524, 26, 12460, 32, 13285, 26, 25405, 829, 829, 474, 18935, 474, 2322, 32, 983, 32, 2524, 26, 630, 32, 983, 1026, 31001, 370, 330, 2988, 81, 13775, 25, 829, 291, 24390, 280, 2322, 32, 983, 32, 2524, 26, 630, 32, 983, 1026, 31001, 370, 330, 1859, 25, 829, 291, 2016, 280, 2107, 1859, 370, 6470, 54, 1859, 32, 8230, 32, 48097, 47, 1508, 370, 330, 508, 32, 96, 7268, 32, 40931, 13775, 32, 60, 41473, 2059, 370, 15390, 26, 784, 32, 625, 2177, 291, 2164, 280, 16539, 32, 45606, 26, 2501, 30, 4533, 47, 2121, 30, 24390, 47, 15598, 27, 291, 415, 630, 32, 6320, 761, 44, 324, 296, 280, 2156, 26, 630, 32, 6320, 761, 30, 330, 105, 683, 324, 1596, 44, 400, 296, 32, 1821, 26, 596, 26, 2164, 32, 6320, 829, 829, 324, 8295, 44, 400, 296, 32, 2679, 346, 284, 665, 5742, 26, 784, 30, 319, 1132, 711, 291, 1596, 44, 324, 442, 630, 32, 5866, 32, 4144, 32, 4526, 26, 319, 1132, 829, 291, 2940, 308, 2593, 8358, 1356, 32, 5506, 924, 30, 6234, 32, 731 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 2, 2, 3, 5, 3, 3, 5, 2, 2, 3, 4, 5, 3, 3, 1, 2, 2, 2, 2, 2, 4, 6, 6, 3, 3, 4, 6, 6, 4, 4, 3, 3, 4, 6, 6, 5, 6, 6, 4, 4, 6, 3, 3, 4, 6, 6, 5, 6, 5, 6, 4, 4, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 6, 6, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 9, 8, 8, 8, 8, 10, 10, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 12, 12, 10, 10, 9, 5, 5, 6, 6, 6, 8, 11, 11, 11, 11, 11, 11, 11, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 4, 4, 7, 8, 7, 7, 8, 9, 7, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 8, 8, 5, 5, 6, 6, 6, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 8, 10, 11, 10, 8, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 4, 4, 7, 9, 9, 9, 6, 6, 12, 13, 11, 12, 11, 11, 13, 14, 13, 11, 13, 11, 14, 14, 12, 12, 11, 9, 9, 11, 12, 11, 11, 13, 14, 13, 13, 13, 11, 8, 8, 7, 7, 10, 11, 9, 10, 9, 9, 11, 12, 11, 9, 11, 9, 11, 11, 11, 11, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 8, 10, 11, 10, 8, 10, 8, 10, 10, 8, 4, 4, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 11, 10, 11, 9, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 6, 7, 7, 5, 5, 5, 8, 8, 10, 10, 11, 12, 12, 10, 10, 12, 12, 6, 6, 7, 7, 7, 11, 12, 11, 11, 13, 13, 14, 15, 13, 11, 7, 7, 8, 8, 8, 12, 13, 12, 2, 2, 3, 4, 5, 4, 4, 6, 4, 3, 3, 5, 5, 5, 7, 11, 12, 10, 11, 9, 10, 9, 9, 11, 9, 5, 5, 6, 9, 9, 9, 8, 9, 9, 7, 7, 8, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 6, 6, 0, 7, 7, 7, 7, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 7, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 1, 0, 0, 1, 1, 3, 3, 2, 0, 0, 1, 2, 2, 2, 2, 0, 3, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 8, 8, 1, 1, 8, 8, 8, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 3, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 3, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 2, 2, 0, 0, 2, 3, 3, 4, 2, 1, 2, 4, 4, 0, 0, 4, 4, 0, 2, 1, 1, 1, 2, 1, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 5, 5, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 8, 1, 2, 2, 8, 8, 8, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 3, 0, 2, 1, 3, 3, 5, 2, 1, 2, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 3, 0, 0, 0, 1, 2, 2, 1, 1, 3, 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, 669, 81, 2592, 463, 604, 32791, 81, 5613, 370, 330, 16996, 81, 1366, 81, 2386, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1536, 1057, 34, 370, 1769, 81, 1322, 47, 35, 36, 42, 471, 4986, 81, 1536, 47, 2700, 27, 291, 3082, 32, 669, 81, 2592, 463, 604, 32791, 81, 5613, 370, 330, 2386, 81, 11447, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1536, 1057, 1536, 370, 1769, 81, 1322, 47, 35, 34, 471, 4986, 81, 1536, 47, 2700, 27, 291, 3082, 32, 669, 81, 2592, 463, 604, 32791, 81, 5613, 370, 330, 16996, 81, 416, 81, 2386, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1536, 1057, 34, 370, 1769, 81, 1322, 47, 35, 36, 42, 30, 11771, 47, 1815, 471, 4986, 81, 1536, 47, 2700, 27, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 2592, 463, 604, 32791, 81, 5613, 370, 330, 16996, 81, 1366, 81, 2386, 683, 291, 3082, 32, 2560, 81, 2592, 463, 604, 32791, 81, 5613, 370, 330, 2386, 81, 11447, 683, 291, 3082, 32, 2560, 81, 2592, 463, 604, 32791, 81, 5613, 370, 330, 16996, 81, 416, 81, 2386, 683, 284, 4549, 280, 301, 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, 1578, 950, 330, 2700, 370, 330, 5006, 950, 330, 1815, 18143, 291, 801, 291, 330, 2393, 32, 9198, 950, 301, 324, 330, 4232, 950, 5053, 5665, 81, 36202, 950, 11608, 463, 1286, 81, 681, 370, 330, 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, 313, 494, 710, 1286, 2516, 32, 14264, 785, 3612, 471, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9, 9, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 12, 9, 11, 11, 10, 11, 11, 11, 9, 7, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 12, 9, 11, 11, 10, 11, 11, 9, 7, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 12, 9, 11, 11, 10, 11, 11, 11, 9, 9, 10, 11, 9, 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, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 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, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 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, 9, 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 ]
[ 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, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 7, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 3, 2, 2, 1, 1, 0, 0, 7, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 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, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 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, 1, 2, 3, 1, 2, 5, 1, 2, 5, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 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, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 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 ]
[ 9705, 3004, 3480, 81, 20957, 81, 15916, 11980, 280, 308, 284, 2726, 34, 35, 370, 330, 34, 35, 429, 399, 266, 1425, 284, 2726, 34, 36, 370, 330, 34, 36, 429, 399, 297, 941, 1425, 284, 2726, 34, 37, 370, 330, 34, 37, 429, 2752, 5453, 1425, 284, 2726, 34, 38, 370, 330, 34, 38, 429, 2752, 1221, 31, 286, 31, 24554, 1142, 31, 26688, 942, 1425, 284, 2726, 34, 39, 370, 330, 34, 39, 429, 29946, 3676, 31, 1504, 1221, 1425, 284, 2726, 34, 40, 370, 330, 34, 40, 429, 2752, 1221, 31, 5686, 283, 30063, 1425, 284, 2726, 34, 41, 370, 330, 34, 41, 429, 5513, 286, 1058, 1425, 284, 2726, 34, 42, 370, 330, 34, 42, 429, 5513, 5114, 13480, 1425, 284, 2726, 34, 43, 370, 330, 34, 43, 429, 399, 4063, 300, 1425, 284, 2726, 35, 34, 370, 330, 35, 34, 429, 399, 3492, 1425, 284, 2726, 35, 35, 370, 330, 35, 35, 429, 399, 795, 1425, 284, 2726, 35, 36, 370, 330, 35, 36, 429, 399, 7436, 2558, 1425, 284, 2726, 35, 37, 370, 330, 35, 37, 429, 551, 644, 2907, 31, 1794, 31, 26751, 658, 1425, 284, 2726, 35, 38, 370, 330, 35, 38, 429, 6403, 104, 5184, 1425, 284, 2726, 35, 39, 370, 330, 35, 39, 429, 390, 32261, 1425, 284, 2726, 35, 40, 370, 330, 35, 40, 429, 1884, 11727, 519, 1425, 284, 2726, 35, 41, 370, 330, 35, 41, 429, 1884, 11727, 519, 31, 5686, 283, 512, 1425, 284, 2726, 35, 42, 370, 330, 35, 42, 429, 1884, 265, 1425, 284, 2726, 35, 43, 370, 330, 35, 43, 429, 28152, 2939, 1425, 284, 2726, 36, 35, 370, 330, 36, 35, 429, 390, 1701, 31, 86, 6945, 1527, 1425, 284, 2726, 36, 36, 370, 330, 36, 36, 429, 390, 8338, 31, 86, 6945, 32215, 1425, 284, 2726, 36, 37, 370, 330, 36, 37, 429, 4089, 539, 1425, 284, 2726, 36, 38, 370, 330, 36, 38, 429, 475, 655, 817, 941, 1425, 284, 2726, 36, 39, 370, 330, 36, 39, 429, 3278, 356, 101, 1425, 284, 2726, 36, 40, 370, 330, 36, 40, 429, 475, 5148, 1425, 284, 2726, 36, 41, 370, 330, 36, 41, 429, 516, 513, 1425, 284, 2726, 36, 42, 370, 330, 36, 42, 429, 516, 513, 31, 364, 31, 1773, 548, 1425, 284, 2726, 36, 43, 370, 330, 36, 43, 429, 10378, 427, 747, 1425, 284, 2726, 36, 51, 370, 330, 36, 51, 429, 8862, 277, 31, 1794, 31, 69, 836, 1425, 284, 2726, 36, 52, 370, 330, 36, 52, 429, 29946, 1142, 31, 8695, 277, 1425, 284, 2726, 37, 34, 370, 330, 37, 34, 429, 570, 704, 1425, 284, 2726, 37, 35, 370, 330, 37, 35, 429, 29946, 1142, 31, 57, 32094, 941, 1425, 284, 2726, 37, 36, 370, 330, 37, 36, 429, 570, 483, 1425, 284, 2726, 37, 37, 370, 330, 37, 37, 429, 570, 28303, 286, 1425, 284, 2726, 37, 38, 370, 330, 37, 38, 429, 20371, 740, 1425, 284, 2726, 37, 39, 370, 330, 37, 39, 429, 6415, 274, 31, 364, 31, 72, 16945, 482, 1425, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 19, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 21, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 23, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 25, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 27, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 29, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 31, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 33, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 35, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 37, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 39, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 41, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 43, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 45, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 47, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 49, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 51, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 53, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 55, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 57, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 59, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 61, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 63, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 65, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 67, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 69, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 71, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2 ]
[ 465, 5741, 203, 1070, 14031, 302, 1188, 1359, 203, 1070, 35094, 1188, 33845, 203, 589, 1289, 81, 24223, 81, 1945, 26, 88, 711, 284, 477, 4071, 101, 26, 88, 27, 284, 665, 7767, 2740, 1132, 30, 1115, 5321, 711, 291, 415, 1359, 32, 4687, 32, 2040, 81, 1762, 463, 20392, 370, 330, 24223, 81, 1945, 7831, 324, 4082, 280, 5741, 32, 10579, 4064, 426, 8223, 324, 4082, 32, 1338, 463, 24223, 1420, 30, 646, 16924, 44, 904, 101, 15231, 101, 2740, 23, 100, 38747, 23, 100, 9905, 904, 656, 308, 88, 3667, 1647, 7642, 296, 3667, 426, 7642, 2181, 30, 10306, 490, 324, 442, 1665, 291, 813, 44, 324, 442, 296, 2740, 1132, 30, 1115, 5321, 27, 284, 442, 7767, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 6, 6, 6, 7, 6, 3, 3, 4, 5, 7, 5, 5, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 6, 6, 9, 9, 11, 12, 11, 12, 12, 7, 7, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 14, 13, 14, 14, 12, 13, 14, 14, 12, 12, 12, 12, 7, 7, 8, 6, 6, 7, 7, 7, 9, 11, 13, 11, 11, 13, 11, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 0, 2, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 22012, 50, 2175, 32, 508, 308, 29338, 1813, 788, 624, 278, 9905, 203, 465, 2322, 203, 465, 5237, 203, 2201, 81, 4694, 280, 11363, 1152, 1057, 203, 57, 3765, 81, 9779, 280, 330, 25745, 730, 445, 2846, 50, 2175, 6332, 32, 508, 25, 203, 589, 2575, 2262, 334, 1672, 81, 1515, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 334, 7623, 81, 978, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 1772, 81, 1515, 30, 330, 4462, 32, 978, 683, 334, 7623, 81, 978, 81, 6118, 280, 428, 4462, 81, 978, 81, 983, 79, 334, 2431, 81, 1152, 81, 4555, 280, 3177, 334, 436, 1638, 328, 5237, 32, 6118, 77, 35, 44, 2786, 284, 415, 1638, 32, 15990, 26, 2201, 81, 4694, 711, 397, 2431, 81, 1152, 81, 4555, 280, 2933, 397, 10639, 81, 928, 280, 1638, 77, 1657, 26, 2201, 81, 4694, 711, 79, 397, 10639, 81, 668, 280, 428, 3225, 436, 8705, 328, 10639, 81, 928, 32, 2998, 35052, 415, 8705, 79, 397, 415, 570, 3765, 81, 9779, 646, 328, 10639, 81, 668, 44, 291, 10639, 81, 668, 32, 1689, 26, 57, 3765, 81, 9779, 27, 397, 7623, 81, 978, 81, 6118, 32, 1689, 26, 2201, 81, 4694, 474, 17359, 32, 2524, 26, 1152, 81, 668, 490, 284, 813, 44, 397, 7623, 81, 978, 81, 6118, 32, 1689, 26, 626, 27, 334, 415, 646, 2431, 81, 1152, 81, 4555, 44, 284, 7623, 81, 978, 81, 6118, 32, 1689, 26, 2201, 81, 4694, 474, 570, 3765, 81, 9779, 27, 334, 2322, 32, 2493, 104, 26, 4462, 81, 978, 81, 983, 30, 7623, 81, 978, 81, 6118, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 2575, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 5, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 5, 6, 4, 6, 5, 4, 3, 3, 5, 7, 8, 7, 8, 8, 8, 7, 5, 5, 9, 9, 9, 9, 8, 8, 6, 6, 9, 9, 8, 8, 9, 12, 12, 13, 13, 13, 12, 9, 6, 6, 9, 9, 8, 8, 10, 9, 10, 10, 10, 13, 13, 12, 13, 12, 9, 10, 9, 6, 6, 7, 9, 9, 9, 8, 8, 8, 9, 9, 7, 7, 7, 12, 12, 11, 12, 11, 12, 12, 12, 12, 11, 6, 6, 10, 10, 10, 10, 9, 10, 9, 11, 11, 11, 10, 10, 12, 13, 12, 13, 13, 13, 12, 5, 5, 6, 6, 6, 11, 11, 11, 11, 10, 11, 10, 11, 10, 2, 2, 3, 4, 5, 5, 5, 5, 3, 3, 3, 8, 8, 8, 8, 7, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 7, 2, 2, 5, 6, 6, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 2, 3, 0, 2, 3, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 3, 2, 3, 3, 3, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 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 ]
[ 1070, 8527, 32, 12023, 32, 21031, 32, 42986, 1188, 546, 4270, 17131, 620, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 19577, 32, 410, 32402, 1188, 6716, 1428, 32402, 203, 823, 16281, 1428, 32402, 924, 26, 984, 711, 284, 3097, 203, 823, 6401, 31611, 1428, 32402, 26, 3954, 1428, 32402, 711, 284, 2364, 21031, 81, 2516, 81, 9833, 280, 2149, 284, 10302, 81, 11278, 280, 6716, 1428, 32402, 32, 30035, 81, 11278, 474, 428, 291, 330, 8512, 7944, 81, 6057, 370, 291, 330, 10119, 81, 6057, 370, 291, 330, 24181, 81, 6057, 370, 291, 330, 20847, 81, 612, 81, 3731, 370, 291, 330, 24181, 81, 1498, 4338, 370, 284, 1481, 284, 617, 371, 81, 18713, 81, 1217, 280, 1524, 291, 10246, 46781, 5601, 32, 3131, 426, 30, 5417, 32, 552, 678, 30, 5417, 32, 552, 297, 5665, 30, 5417, 32, 552, 297, 4457, 291, 3753, 12606, 81, 10771, 32, 2323, 81, 823, 281, 30, 12606, 81, 10771, 32, 2323, 81, 823, 281, 36, 30, 324, 12606, 81, 10771, 32, 2323, 81, 1055, 5417, 30, 12606, 81, 10771, 32, 2323, 81, 4890, 5601, 291, 17789, 13039, 12606, 81, 10771, 32, 2323, 81, 681, 273, 5701, 273, 32, 580, 280, 5601, 32, 3131, 618, 6320, 291, 4998, 324, 281, 32, 580, 280, 5417, 32, 552, 2808, 314, 324, 3114, 5417, 32, 1055, 2808, 314, 280, 281, 36, 32, 580, 324, 3114, 5601, 32, 3131, 2808, 314, 280, 281, 32, 580, 324, 3114, 308, 400, 5601, 32, 3131, 1516, 280, 5417, 32, 552, 678, 77, 34, 79, 1878, 400, 308, 102, 32, 13074, 426, 26621, 330, 24181, 25, 3114, 5417, 32, 552, 678, 280, 330, 34, 683, 324, 829, 324, 3114, 5601, 32, 3131, 1516, 848, 225, 34, 324, 3114, 281, 32, 2808, 426, 280, 904, 101, 2993, 284, 665, 622, 81, 1526, 21031, 81, 2516, 26, 784, 711, 291, 1600, 81, 2516, 280, 428, 324, 2726, 10119, 370, 330, 9518, 1176, 1425, 324, 2726, 8512, 7944, 370, 2726, 9518, 1176, 370, 5053, 8512, 7944, 950, 2933, 1748, 471, 291, 1481, 291, 2364, 21031, 81, 2516, 280, 2149, 291, 33200, 81, 2602, 280, 330, 4620, 313, 580, 20, 3753, 313, 2323, 81, 681, 20, 4998, 313, 13074, 426, 20, 280, 904, 101, 25, 291, 6213, 280, 630, 32, 3841, 32, 7017, 346, 291, 1596, 44, 324, 436, 1600, 81, 681, 328, 1600, 81, 2516, 44, 400, 6213, 32, 4526, 26, 580, 81, 2602, 30, 308, 1495, 81, 681, 77, 34, 614, 490, 400, 436, 1056, 328, 6213, 32, 44569, 2262, 528, 2364, 21031, 81, 2516, 77, 1267, 77, 34, 3212, 280, 1600, 81, 681, 77, 35, 79, 291, 8295, 44, 324, 6213, 32, 2679, 346, 291, 442, 2364, 21031, 81, 2516, 284, 665, 622, 81, 1495, 81, 681, 26, 784, 30, 706, 81, 681, 30, 3048, 711, 291, 415, 646, 630, 32, 1526, 21031, 81, 2516, 81, 9833, 44, 324, 630, 32, 1526, 21031, 81, 2516, 81, 9833, 280, 630, 32, 371, 81, 1526, 21031, 81, 2516, 346, 324, 630, 32, 605, 81, 2516, 81, 9833, 32, 1877, 26, 784, 32, 1526, 21031, 81, 2516 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 5, 5, 6, 6, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 8, 11, 11, 11, 9, 13, 13, 13, 11, 10, 8, 7, 7, 4, 4, 7, 7, 7, 6, 6, 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, 4, 4, 6, 6, 9, 10, 8, 9, 8, 4, 4, 5, 5, 5, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 11, 12, 11, 12, 12, 12, 11, 11, 14, 14, 14, 13, 14, 13, 12, 8, 8, 9, 9, 9, 11, 12, 11, 9, 9, 14, 14, 14, 13, 15, 14, 15, 14, 12, 12, 14, 14, 13, 14, 13, 5, 5, 6, 6, 6, 10, 11, 10, 4, 4, 5, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 6, 7, 8, 8, 8, 8, 8, 8, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 11, 11, 11, 10, 6, 6, 10, 11, 11, 11, 11, 11, 9, 10, 9, 11, 10, 11, 11, 11, 11 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 8, 8, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 3, 3, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 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, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 1, 3, 3, 2, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 4, 4, 4, 4, 4, 0, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 3, 5, 5, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 3, 3, 3, 0, 2, 1, 4, 4, 5, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2 ]
[ 1070, 1619, 1356, 1188, 1619, 4018, 203, 465, 15798, 203, 465, 4395, 203, 1070, 10970, 81, 9744, 81, 2393, 1188, 6887, 203, 9036, 81, 45699, 81, 3307, 280, 330, 9352, 81, 1781, 43460, 81, 4186, 1710, 81, 9036, 25, 203, 823, 18883, 36115, 2963, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 22718, 711, 291, 436, 1202, 30, 786, 328, 22718, 32, 40957, 2262, 324, 39506, 26, 784, 30, 1202, 30, 786, 27, 203, 823, 19205, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 7233, 30, 630, 547, 23741, 346, 291, 630, 1114, 7318, 81, 13889, 280, 6887, 32, 5378, 1114, 371, 81, 464, 346, 291, 6887, 32, 5378, 1114, 4534, 346, 284, 665, 28921, 26, 784, 711, 291, 6887, 32, 5378, 1114, 4534, 346, 291, 6887, 32, 5378, 32, 7799, 81, 8232, 26, 784, 1114, 7318, 81, 13889, 27, 291, 2599, 26, 7233, 30, 630, 547, 519, 282, 3211, 346, 203, 50, 1819, 4018, 203, 589, 26584, 81, 10333, 81, 9247, 26, 9247, 81, 1977, 30, 9161, 30, 4096, 47, 2521, 30, 37651, 47, 2521, 30, 952, 47, 2521, 711, 284, 8565, 81, 605, 280, 301, 291, 313, 7878, 563, 9161, 30, 291, 313, 5321, 563, 301, 324, 313, 3958, 563, 2149, 291, 320, 284, 320, 284, 415, 4096, 438, 646, 1665, 44, 291, 8565, 81, 605, 1365, 5321, 9557, 3958, 9557, 1935, 1446, 280, 4096, 284, 415, 37651, 438, 646, 1665, 44, 291, 8565, 81, 605, 1365, 5321, 9557, 3958, 9557, 27207, 1446, 280, 37651, 284, 415, 952, 438, 646, 1665, 44, 291, 8565, 81, 605, 1365, 5321, 9557, 699, 1446, 280, 952, 284, 8565, 81, 371, 280, 4395, 32, 2675, 15062, 9247, 4009, 371, 2296, 1643, 26, 9247, 47, 9247, 81, 1977, 471, 1374, 47, 1815, 27, 284, 8565, 81, 10333, 280, 4395, 32, 2675, 15062, 9247, 4009, 10333, 2296, 1643, 26, 9247, 47, 9247, 81, 1977, 471, 1374, 47, 1815, 27, 284, 4395, 81, 371, 280, 8565, 81, 371, 32, 1366, 346, 284, 4395, 81, 10333, 280, 8565, 81, 10333, 32, 1366, 346, 284, 4395, 81, 371, 32, 601, 81, 853, 280, 8565, 81, 605, 284, 4395, 81, 10333, 32, 601, 81, 853, 280, 2933, 284, 1596, 44, 291, 6761, 284, 8295, 44, 291, 8565, 81, 371, 32, 4048, 346, 291, 8565, 81, 10333, 32, 4048, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 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, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 9, 10, 9, 9, 9, 9, 9, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 9, 10, 9, 9, 9, 8, 8, 8, 7, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 3, 2, 2, 6, 6, 5, 5, 6, 6, 9, 9, 7, 6, 6, 6, 9, 9, 7, 8, 8, 11, 11, 9, 8, 8, 6, 6, 3, 3, 4, 5, 5, 5, 4, 4, 4, 11, 11, 10, 12, 12, 11, 11, 10, 10, 7, 7, 3, 3, 4, 5, 5, 5, 4, 4, 4, 11, 11, 10, 12, 12, 11, 11, 10, 10, 7, 7, 3, 3, 4, 5, 5, 5, 4, 4, 4, 10, 10, 9, 11, 11, 10, 10, 7, 7, 3, 3, 6, 6, 5, 5, 7, 8, 7, 11, 11, 11, 11, 10, 9, 11, 10, 11, 11, 11, 9, 7, 8, 9, 7, 3, 3, 6, 6, 5, 5, 7, 8, 7, 11, 11, 11, 11, 10, 9, 11, 10, 11, 11, 11, 9, 7, 8, 9, 7, 3, 3, 6, 6, 5, 5, 8, 8, 7, 8, 7, 3, 3, 6, 6, 5, 5, 8, 8, 7, 8, 7, 3, 3, 7, 7, 6, 7, 7, 7, 5, 5, 6, 6, 3, 3, 7, 7, 6, 7, 7, 7, 5, 5, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 10, 10, 9, 10, 9, 6, 6, 10, 10, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 6, 6, 2, 0, 1, 2, 2, 6, 6, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 1, 2, 1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 10, 10, 10, 10, 10, 3, 3, 3, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 465, 3664, 203, 823, 894, 1572, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 630, 30, 4886, 30, 2664, 81, 4018, 711, 291, 630, 32, 2946, 81, 4018, 280, 2664, 81, 4018, 291, 630, 32, 1003, 81, 4018, 280, 2664, 81, 4018, 32, 1003, 81, 4018, 291, 630, 32, 7490, 280, 2664, 81, 4018, 32, 7490, 291, 415, 4886, 710, 10529, 12132, 324, 630, 32, 7490, 32, 10529, 440, 42829, 894, 7884, 21850, 291, 630, 32, 5961, 81, 3494, 280, 428, 330, 2946, 81, 4018, 25, 656, 1717, 330, 10529, 25, 656, 1717, 330, 2811, 25, 656, 1481, 291, 630, 32, 858, 81, 668, 280, 1605, 291, 630, 32, 2232, 81, 858, 280, 225, 35, 291, 630, 32, 2999, 81, 858, 81, 998, 280, 225, 34, 291, 630, 32, 47828, 81, 4882, 280, 2149, 4456, 630, 32, 2493, 5569, 81, 4882, 280, 2149, 291, 630, 32, 10529, 280, 4886, 710, 10529, 785, 291, 630, 32, 2811, 280, 4886, 710, 2811, 785, 291, 630, 32, 1536, 81, 3483, 280, 4886, 710, 1536, 3483, 785, 291, 630, 32, 4260, 445, 280, 4886, 710, 4260, 445, 785, 291, 415, 630, 32, 4260, 445, 44, 324, 630, 32, 4260, 445, 280, 630, 32, 4260, 445, 32, 7201, 346, 291, 630, 32, 1990, 9115, 445, 280, 4886, 710, 1990, 9115, 445, 785, 291, 415, 630, 32, 1990, 9115, 445, 44, 324, 630, 32, 1990, 9115, 445, 280, 630, 32, 1990, 9115, 445, 32, 7201, 346, 291, 630, 32, 45262, 280, 4886, 710, 45262, 785, 291, 630, 32, 37408, 29357, 280, 4886, 710, 37408, 29357, 785, 291, 630, 32, 2816, 280, 4886, 710, 2816, 785, 291, 630, 32, 9089, 8478, 280, 4886, 710, 9089, 8478, 785, 291, 630, 32, 858, 1515, 280, 4886, 710, 858, 1515, 785, 291, 630, 32, 23777, 81, 4882, 280, 4886, 710, 858, 81, 10996, 785, 291, 630, 32, 7490, 32, 2811, 81, 823, 26, 784, 27, 284, 665, 1015, 81, 858, 26, 784, 30, 537, 81, 858, 81, 1732, 711, 291, 630, 32, 858, 81, 668, 32, 1689, 26, 890, 81, 858, 81, 1732, 27, 284, 665, 20133, 81, 4882, 26, 784, 711, 291, 630, 32, 7490, 32, 1338, 440, 11415, 894, 7322, 4137, 21850, 291, 415, 630, 32, 37408, 29357, 438, 1665, 461, 630, 32, 2816, 10844, 86, 359, 950, 324, 630, 32, 9089, 8478, 280, 428, 784, 32, 858, 1515, 79, 324, 630, 32, 37408, 29357, 280, 2107, 1831, 785, 291, 436, 13264, 328, 630, 32, 37408, 29357, 44, 324, 13264, 81, 983, 280, 630, 32, 1809, 81, 9089, 81, 983, 26, 9089, 27, 324, 415, 13264, 81, 983, 44, 400, 630, 32, 2416, 81, 9089, 26, 9089, 81, 983, 27, 324, 813, 44, 400, 630, 32, 7490, 32, 731, 440, 9752, 646, 2290, 13264, 44, 904, 101, 328, 1346, 432, 7842, 44, 904, 101, 20, 18147, 9089, 30, 3003, 4939, 2524, 26, 784, 32, 9089, 8478, 2610, 291, 630, 32, 2416, 81, 20646, 318, 81, 4882, 346, 284, 665, 2164, 81, 20646, 318, 81, 4882, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 7, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 7, 8, 4, 4, 5, 6, 8, 8, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 7, 7, 7, 9, 9, 7, 7, 7, 9, 9, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 7, 9, 9, 9, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 10, 10, 8, 8, 11, 12, 12, 10, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 11, 12, 12, 12, 10, 11, 10, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 8, 6, 6, 7, 9, 9, 9, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 8, 6, 6, 7, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 7, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 4, 4, 5, 8, 9, 9, 7, 7, 6, 6, 8, 9, 7, 9, 9, 9, 5, 5, 9, 10, 10, 8, 8, 11, 10, 11, 11, 9, 6, 6, 9, 10, 10, 8, 8, 11, 11, 4, 4, 5, 5, 5, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 12, 12, 11, 12, 12, 12, 11, 7, 7, 8, 8, 8, 13, 14, 12, 13, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 15, 14, 14, 18, 17, 16, 18, 17, 18, 18, 16, 4, 4, 7, 8, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 4, 4, 3, 1, 1, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 2, 1, 1, 2, 4, 4, 14, 1, 2, 2, 14, 14, 14, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 16, 1, 2, 2, 2, 16, 16, 16, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 3, 3, 0, 2, 2, 0, 0, 1, 2, 4, 4, 2, 2, 2, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0 ]
[ 505, 464, 505, 280, 428, 284, 330, 435, 3926, 35363, 370, 203, 79, 203, 465, 5741, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 465, 1133, 203, 465, 6141, 203, 1070, 7138, 1188, 7138, 203, 1070, 13247, 32, 11452, 1188, 15922, 924, 203, 1070, 30902, 32, 14806, 1188, 4428, 43139, 924, 203, 1070, 3619, 29382, 81, 9558, 32, 12329, 1188, 15922, 2214, 203, 1070, 310, 9063, 535, 1188, 1542, 203, 1070, 310, 9063, 535, 1188, 4527, 203, 1070, 638, 1188, 2575, 203, 823, 902, 3926, 35363, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 13247, 30, 3826, 30, 7808, 47, 34, 32, 34, 34, 35, 30, 7898, 47, 39, 30, 1115, 5321, 711, 291, 630, 32, 9558, 280, 13247, 291, 630, 32, 3237, 280, 3826, 291, 630, 32, 7843, 280, 7808, 291, 630, 32, 7568, 280, 7898, 291, 630, 32, 1851, 81, 266, 81, 2416, 280, 10306, 32, 371, 463, 1851, 81, 266, 81, 2416, 370, 4527, 32, 1851, 81, 266, 81, 2416, 27, 291, 630, 32, 371, 81, 8246, 280, 10306, 32, 371, 463, 371, 81, 8246, 370, 1542, 32, 936, 24348, 6701, 1157, 291, 630, 32, 4073, 280, 10306, 32, 371, 463, 4073, 370, 4082, 27, 291, 630, 32, 2848, 280, 10306, 32, 371, 463, 2848, 370, 1542, 32, 3135, 27, 291, 630, 32, 1003, 280, 10306, 32, 371, 463, 1003, 370, 1133, 27, 284, 665, 1477, 26, 784, 711, 291, 630, 32, 11986, 346, 284, 665, 17850, 26, 784, 711, 291, 2218, 2933, 44, 324, 273, 35, 280, 630, 32, 1003, 32, 1003, 346, 324, 8253, 280, 630, 32, 1851, 81, 266, 81, 2416, 26, 784, 32, 1217, 27, 324, 415, 8253, 44, 400, 436, 2899, 328, 8253, 44, 528, 1596, 44, 715, 630, 32, 22657, 2740, 2795, 27, 528, 2940, 15922, 924, 619, 1137, 44, 715, 630, 32, 4073, 32, 8447, 26, 530, 30, 13489, 81, 1338, 47, 1815, 27, 528, 630, 32, 1003, 32, 7840, 26, 784, 32, 7843, 27, 324, 1550, 81, 1003, 280, 630, 32, 1003, 32, 1003, 346, 324, 7254, 81, 1003, 280, 273, 35, 474, 630, 32, 7568, 324, 415, 1550, 81, 1003, 333, 7254, 81, 1003, 44, 400, 630, 32, 1003, 32, 7840, 26, 19632, 81, 1003, 429, 1550, 81, 1003, 27, 284, 665, 2467, 26, 784, 711, 291, 8253, 280, 1605, 291, 623, 6141, 32, 4018, 44, 324, 1596, 44, 400, 8253, 280, 10440, 106, 32, 314, 30, 816, 32, 13558, 81, 998, 27, 436, 816, 328, 630, 32, 371, 81, 8246, 7662, 324, 2940, 4428, 43139, 924, 619, 1137, 44, 400, 630, 32, 4073, 32, 8447, 26, 530, 30, 13489, 81, 1338, 47, 1815, 27, 324, 8295, 44, 400, 630, 32, 2848, 32, 2546, 346, 291, 442, 8253, 284, 665, 39119, 26, 784, 30, 804, 3739, 11322, 81, 998, 711, 291, 12404, 280, 8930, 34, 40602, 35, 16805, 1643, 26, 314, 3739, 11322, 81, 998, 27, 291, 630, 32, 9558, 32, 100, 2018, 26, 784, 32, 3237, 30, 12404, 27, 203, 823, 6497, 3206, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 6, 4, 4, 6, 4, 3, 3, 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, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 10, 11, 11, 11, 10, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 5, 9, 8, 8, 11, 12, 10, 11, 10, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 11, 11, 11, 15, 16, 15, 17, 15, 11, 11, 12, 14, 13, 13, 12, 12, 12, 17, 18, 16, 17, 16, 17, 16, 16, 18, 18, 17, 18, 16, 10, 10, 14, 15, 13, 14, 13, 15, 14, 15, 13, 6, 6, 9, 9, 8, 8, 11, 12, 10, 11, 10, 6, 6, 9, 9, 8, 8, 10, 9, 9, 10, 11, 6, 6, 7, 9, 9, 8, 8, 9, 9, 7, 7, 7, 12, 13, 11, 12, 11, 13, 13, 13, 12, 12, 13, 13, 11, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 8, 9, 5, 5, 5, 7, 7, 7, 10, 10, 14, 13, 14, 12, 12, 13, 14, 14, 14, 12, 11, 12, 12, 12, 14, 15, 15, 15, 14, 7, 7, 8, 10, 10, 9, 9, 8, 8, 8, 13, 14, 12, 13, 12, 13, 12, 12, 14, 14, 13, 14, 12, 7, 7, 8, 8, 8, 13, 14, 12, 13, 12, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 3, 3, 6, 6, 10, 10, 10, 10, 9, 8, 9, 9, 8, 9, 9, 8, 4, 4, 8, 9, 7, 8, 8, 7, 9, 8, 9, 7, 7, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6 ]
[ 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 0, 0, 1, 2, 8, 8, 0, 0, 9, 9, 0, 0, 9, 9, 0, 10, 10, 0, 0, 10, 10, 0, 11, 11, 11, 11, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 1, 2, 0, 0, 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, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 3, 0, 1, 1, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 5, 5, 0, 2, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 5, 0, 0, 1, 1, 2, 2, 5, 5, 5, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 3, 0, 0, 1, 1, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 0, 0, 4, 4, 4, 0, 2, 0, 2, 1, 4, 4, 2, 4, 4, 4, 2, 1, 2, 2, 3, 2, 5, 5, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 13, 13, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 1 ]
[ 465, 2322, 30, 268, 30, 28950, 983, 203, 589, 622, 81, 2250, 81, 9561, 26, 1515, 711, 284, 7041, 280, 2149, 284, 436, 540, 30, 86, 30, 88, 328, 2322, 32, 11905, 26, 1515, 711, 291, 436, 803, 328, 296, 44, 324, 415, 803, 610, 313, 4530, 32, 101, 5486, 563, 400, 296, 280, 2156, 26, 45301, 983, 32, 2524, 26, 100, 30, 761, 27, 829, 400, 1628, 280, 296, 32, 850, 346, 400, 2047, 30, 1648, 280, 1628, 32, 2998, 346, 400, 2643, 280, 2149, 400, 7041, 77, 1803, 79, 280, 2149, 400, 12350, 30, 17765, 30, 3779, 280, 1503, 32, 2998, 36909, 400, 2643, 710, 13147, 785, 280, 12350, 400, 2643, 710, 17765, 785, 280, 14887, 400, 2643, 710, 3779, 785, 280, 5461, 101, 20, 904, 308, 3779, 27, 400, 2643, 710, 3779, 652, 785, 280, 6611, 101, 15231, 101, 15231, 101, 25, 904, 308, 13147, 30, 14887, 30, 2643, 710, 3779, 3490, 400, 2643, 710, 1832, 785, 280, 225, 35, 400, 298, 280, 316, 32, 6993, 463, 80, 4987, 86, 29, 2502, 78, 105, 9501, 683, 400, 345, 280, 298, 32, 2872, 26, 424, 710, 3779, 3490, 400, 415, 345, 44, 528, 7377, 280, 345, 32, 1363, 26, 36, 27, 528, 2643, 710, 1832, 785, 280, 16167, 26, 4893, 27, 528, 2643, 710, 4463, 3779, 785, 280, 345, 32, 1363, 26, 35, 27, 400, 813, 44, 528, 2643, 710, 1832, 785, 280, 330, 34, 25, 528, 298, 280, 316, 32, 6993, 463, 80, 4987, 86, 29, 19188, 528, 345, 280, 298, 32, 2872, 26, 424, 710, 3779, 3490, 528, 415, 345, 44, 715, 2643, 710, 4463, 3779, 785, 280, 345, 32, 1363, 26, 35, 27, 400, 7041, 77, 1803, 79, 280, 2643, 284, 442, 7041, 203, 589, 2866, 81, 9561, 81, 761, 26, 1760, 30, 1914, 30, 4533, 8063, 284, 7041, 280, 4533, 710, 9561, 785, 284, 296, 280, 2156, 26, 1760, 77, 34, 997, 21379, 30, 330, 105, 25, 829, 284, 436, 298, 328, 8594, 26, 7041, 8063, 291, 296, 32, 1821, 26, 6611, 101, 904, 101, 78, 96, 25, 904, 308, 98, 30, 7041, 77, 98, 5795, 3779, 652, 3490, 829, 284, 296, 32, 2679, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 3, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 4, 5, 4, 5, 3, 3, 5, 6, 5, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 7, 8, 8, 10, 10, 10, 10, 10, 7, 7, 10, 10, 12, 12, 15, 14, 15, 14, 15, 14, 15, 14, 12, 8, 8, 10, 10, 12, 13, 12, 8, 8, 11, 12, 10, 10, 12, 13, 12, 8, 8, 10, 10, 8, 8, 11, 12, 11, 10, 10, 8, 8, 11, 12, 11, 12, 10, 10, 12, 13, 12, 8, 8, 11, 13, 13, 10, 10, 8, 8, 11, 13, 13, 10, 10, 8, 8, 11, 13, 13, 10, 10, 13, 13, 11, 11, 13, 12, 8, 8, 11, 13, 13, 13, 10, 10, 13, 13, 13, 13, 13, 13, 11, 11, 13, 12, 12, 12, 12, 13, 15, 15, 8, 8, 11, 13, 13, 10, 10, 11, 8, 8, 10, 10, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 8, 8, 10, 10, 12, 13, 12, 14, 13, 15, 15, 8, 8, 9, 9, 9, 9, 12, 12, 14, 15, 14, 15, 14, 10, 10, 13, 15, 15, 12, 12, 14, 15, 14, 10, 10, 13, 15, 15, 15, 12, 12, 14, 15, 14, 15, 14, 9, 9, 10, 10, 10, 14, 16, 16, 13, 13, 15, 15, 11, 11, 13, 13, 15, 16, 15, 17, 17, 17, 17, 17, 11, 11, 13, 13, 15, 16, 15, 17, 16, 18, 18, 11, 11, 12, 12, 12, 12, 16, 18, 18, 18, 15, 15, 17, 18, 17, 18, 17, 8, 8, 11, 12, 11, 10, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 5, 7, 7, 2, 2, 4, 4, 6, 6, 8, 9, 8, 8, 6, 6, 8, 8, 6, 2, 2, 3, 3, 3, 5, 5, 5, 3, 3, 7, 8, 7, 7, 10, 10, 10, 11, 11, 10, 8, 8, 10, 9, 9, 11, 12, 11, 12, 12, 12, 7, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 2, 1, 4, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 3, 1, 1, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 2, 0, 0, 0, 2, 1, 3, 3, 0, 0, 3, 3, 0, 2, 0, 0, 0, 3, 3, 0, 2, 0, 4, 0, 0, 0, 2, 1, 3, 3, 0, 1, 2, 0, 0, 3, 3, 0, 1, 2, 0, 0, 3, 3, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 3, 3, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 5, 1, 2, 3, 3, 0, 1, 2, 0, 0, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 0, 1, 1, 2, 3, 3, 13, 13, 13, 13, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 1, 2, 0, 0, 1, 1, 1, 3, 3, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 13, 13, 4, 4, 4, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 4, 4, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 4, 4, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 4, 4, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 30, 2322, 203, 1070, 7138, 1188, 2340, 203, 9081, 280, 2107, 26275, 32, 407, 32, 1146, 26275, 370, 330, 26275, 32, 407, 32, 10425, 785, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 2250, 280, 1044, 25, 27697, 25, 203, 11794, 280, 1044, 25, 36, 34, 34, 37, 9299, 86, 30, 26333, 5412, 25, 904, 2340, 32, 16003, 922, 4548, 203, 1648, 280, 330, 37, 32, 43, 25, 203, 3779, 280, 330, 37, 32, 43, 25, 203, 16003, 81, 3972, 280, 6611, 75, 9299, 95, 9299, 86, 25, 203, 10444, 81, 15719, 280, 2107, 81, 1832, 785, 203, 2245, 81, 17583, 280, 2933, 203, 978, 32725, 81, 1621, 280, 330, 25306, 25, 203, 916, 81, 4661, 280, 330, 14354, 31, 4661, 25, 203, 916, 81, 4661, 81, 2184, 280, 301, 313, 14731, 805, 1632, 563, 2933, 320, 203, 916, 81, 4661, 81, 983, 280, 3037, 81, 16479, 1446, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 81, 2135, 81, 6368, 81, 3972, 280, 6611, 75, 9299, 95, 9299, 86, 25, 203, 916, 81, 8937, 101, 280, 5053, 1055, 950, 330, 1055, 8937, 32, 916, 6040, 203, 916, 81, 2245, 81, 101, 515, 3308, 764, 280, 2933, 203, 916, 4756, 81, 15705, 280, 330, 27697, 1427, 25, 203, 24189, 81, 7594, 280, 301, 203, 111, 203, 24189, 81, 17274, 280, 428, 334, 2726, 1055, 370, 330, 27697, 32, 8581, 370, 1044, 25, 27697, 12217, 370, 664, 1044, 25, 27697, 2074, 370, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 1605, 203, 39891, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 1588, 81, 1637, 81, 17583, 280, 313, 20733, 8835, 810, 886, 26333, 12641, 308, 525, 555, 14354, 32, 1088, 13278, 20, 203, 2501, 81, 6732, 81, 1113, 983, 280, 330, 2019, 15757, 25, 203, 2501, 81, 6732, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 39891, 30, 2016, 81, 6732, 81, 1113, 983, 27, 203, 979, 636, 328, 2322, 32, 26366, 26, 2501, 81, 6732, 81, 983, 711, 284, 415, 646, 636, 32, 20643, 3949, 9632, 683, 556, 636, 328, 2726, 1055, 32, 9632, 370, 711, 291, 4036, 284, 803, 81, 1113, 983, 280, 2322, 32, 983, 32, 2524, 26, 2501, 81, 6732, 81, 1113, 983, 30, 636, 27, 284, 623, 2156, 26, 500, 32, 983, 32, 2524, 26, 2501, 81, 6732, 81, 983, 30, 636, 490, 619, 296, 44, 291, 1780, 280, 296, 32, 25637, 922, 38848, 9442, 96, 683, 291, 3338, 280, 296, 32, 25637, 922, 38848, 9442, 96, 683, 291, 415, 2069, 26, 2111, 27, 863, 2069, 26, 1311, 711, 324, 1459, 3776, 3731, 32, 8228, 30, 308, 400, 313, 731, 44, 5535, 3338, 328, 904, 100, 308, 13822, 646, 2530, 1780, 4731, 904, 308, 528, 803, 81, 1113, 983, 33702, 291, 415, 330, 429, 330, 646, 328, 1780, 44, 324, 1459, 3776, 3731, 32, 8228, 30, 308, 400, 2884, 731, 44, 5535, 1780, 328, 904, 100, 313, 353, 11608 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 6, 7, 6, 5, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 6, 6, 6, 6, 4, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 6, 6, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 0, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 0, 1, 1, 1, 1, 3, 4, 3, 4, 4, 4, 4, 4, 3, 1, 1, 3, 5, 7, 8, 7, 9, 9, 4, 4, 5, 5, 8, 8, 8, 8, 6, 3, 3, 2, 2, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 2, 2, 3, 8, 12, 11, 12, 10, 11, 10, 11, 11, 11, 11, 11, 10, 10, 10, 6, 6, 3, 3, 3, 6, 6, 10, 11, 10, 9, 8, 11, 10, 4, 4, 6, 6, 10, 11, 10, 9, 8, 11, 10, 4, 4, 5, 8, 9, 8, 6, 6, 8, 9, 8, 5, 5, 7, 10, 9, 10, 7, 7, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 11, 11, 11, 10, 4, 4, 5, 8, 8, 6, 6, 6, 5, 5, 5, 7, 10, 9, 10, 7, 7, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 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, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 0, 29, 29, 29, 29, 0, 2, 1, 1, 1, 1, 1, 1, 1, 29, 29, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 3, 3, 0, 0, 0, 2, 1, 2, 1, 0, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 1, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]