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
[ 9592, 284, 4942, 1593, 52, 6600, 7703, 284, 2640, 308, 53, 27, 225, 36, 34, 35, 35, 273, 34, 2840, 34, 284, 1348, 3460, 438, 3741, 2932, 44, 844, 883, 14086, 561, 461, 33, 271, 5351, 284, 561, 1531, 322, 5955, 432, 322, 6987, 6146, 5056, 1177, 619, 9581, 810, 284, 322, 7823, 3859, 7113, 30, 3154, 1503, 225, 37, 432, 322, 1177, 30, 556, 284, 308, 269, 1370, 2470, 27, 1346, 6125, 1503, 32, 284, 1348, 3460, 438, 2728, 328, 322, 9845, 688, 561, 1098, 526, 6364, 30, 284, 1273, 4197, 2964, 9339, 45, 2876, 4444, 322, 4500, 14327, 432, 284, 7930, 556, 8108, 4786, 399, 7848, 7755, 32, 225, 2802, 322, 284, 6987, 6146, 5056, 1177, 436, 1829, 4245, 32, 284, 2448, 1395, 1159, 6584, 312, 1933, 432, 322, 6987, 6146, 5056, 1177, 284, 7947, 623, 458, 3460, 32, 225, 1670, 646, 30, 2318, 333, 525, 555, 1499, 32, 10628, 32, 1088, 33, 4188, 28733, 203, 9592, 203, 465, 316, 203, 465, 2322, 203, 1270, 44, 284, 1188, 281, 14686, 274, 619, 19571, 203, 7343, 44, 284, 1188, 19571, 203, 465, 22045, 203, 465, 1984, 2208, 203, 465, 816, 84, 6053, 203, 465, 816, 84, 6053, 16662, 203, 465, 816, 84, 6053, 8463, 203, 465, 816, 84, 6053, 2796, 203, 823, 2222, 267, 44, 284, 5881, 284, 1348, 443, 7367, 312, 8215, 432, 1340, 688, 438, 1654, 10160, 5075, 1593, 52, 6600, 1015, 2612, 284, 328, 322, 9845, 688, 561, 1098, 25206, 1629, 432, 322, 4942, 8253, 600, 30897, 5652, 284, 372, 4436, 32, 284, 19525, 631, 458, 438, 34016, 810, 15484, 312, 7767, 6835, 33640, 1654, 8710, 284, 432, 499, 1803, 5781, 2458, 6053, 1801, 499, 1803, 5781, 2458, 6053, 16662, 1801, 499, 1803, 5781, 2458, 6053, 8463, 82, 461, 499, 1803, 5781, 2458, 6053, 2796, 2541, 3701, 2448, 7801, 2637, 372, 1159, 11114, 1591, 1980, 432, 458, 443, 328, 1370, 30897, 284, 1510, 844, 883, 1476, 645, 24323, 328, 1370, 1340, 32, 284, 5938, 403, 291, 1188, 5237, 291, 645, 273, 34, 2840, 34, 32, 2282, 32, 16662, 1188, 2222, 267, 291, 30897, 280, 2222, 267, 463, 1772, 32, 2796, 32, 314, 370, 6184, 47, 3731, 32, 6118, 27, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 30897, 81, 314, 30, 6184, 47, 2521, 711, 291, 5881, 20216, 10460, 44, 324, 30897, 81, 314, 308, 466, 711, 10604, 30897, 1182, 804, 308, 4192, 32, 330, 2796, 32, 5000, 32, 102, 34, 2840, 34, 32, 858, 1814, 291, 1224, 105, 1132, 44, 324, 6184, 308, 668, 711, 1682, 432, 4209, 5403, 372, 1370, 30897, 415, 4556, 324, 308, 4192, 32, 5237, 32, 6118, 547, 291, 5881, 291, 630, 32, 16662, 280, 816, 84, 6053, 16662, 32, 25700, 26, 314, 47, 16662, 81, 314, 27, 291, 415, 6184, 44, 324, 630, 32, 965, 280, 6184, 77, 34, 79, 324, 630, 32, 2956, 280, 629, 26, 6118, 77, 35, 1130, 324, 630, 32, 17439, 280, 630, 32, 2208, 81, 1217, 26, 6118, 77, 36, 1674, 35, 19572, 284, 665, 622, 81, 2116, 26, 784, 711, 291, 5881, 6970, 322, 30897 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 4, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 2, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 9, 9, 9, 8, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 9, 10, 9, 6, 6, 9, 10, 8, 8, 10, 12, 11, 12, 11, 6, 6, 9, 10, 8, 8, 10, 11, 11, 11, 10, 13, 12, 13, 12, 13, 12, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 1, 1, 3, 3, 3, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 10, 10, 1, 10, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 3, 3, 0, 2, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1 ]
[ 100, 2993, 3265, 308, 14575, 2194, 3182, 367, 27, 333, 525, 555, 1260, 32, 1088, 48, 438, 312, 17272, 432, 203, 14575, 8345, 308, 6142, 1400, 31, 36, 40, 36, 225, 37, 5334, 31605, 27, 1654, 619, 312, 42700, 706, 203, 1146, 2342, 2179, 32, 203, 44, 1803, 5781, 6656, 1260, 82, 41278, 600, 2330, 23792, 372, 4250, 432, 322, 6216, 4253, 203, 44, 1803, 5781, 8413, 82, 461, 499, 1803, 5781, 24088, 82, 7896, 32, 2030, 438, 322, 12098, 1247, 28098, 203, 1648, 432, 322, 499, 1803, 5781, 1260, 82, 4253, 14549, 328, 4865, 225, 36, 32, 40, 30, 1273, 48628, 203, 29143, 623, 4865, 225, 36, 32, 38, 461, 4865, 225, 36, 32, 39, 461, 308, 31688, 27, 1401, 203, 1333, 12548, 7871, 9767, 37046, 30, 4444, 2876, 1471, 322, 5302, 390, 203, 6728, 436, 8227, 9016, 32, 203, 7960, 6550, 4865, 1300, 420, 8812, 732, 403, 284, 8217, 1188, 4281, 1260, 619, 2361, 284, 8217, 2361, 32, 16958, 4901, 3986, 370, 5053, 1632, 950, 2726, 12448, 370, 1665, 30, 225, 35, 32, 34, 30, 225, 36, 4370, 1130, 284, 330, 1365, 3986, 392, 3447, 1632, 563, 3037, 12448, 392, 744, 30, 225, 35, 32, 34, 30, 225, 36, 6653, 18262, 284, 8217, 1459, 2361, 32, 16958, 33744, 3986, 78, 1632, 657, 284, 12378, 3986, 78, 1632, 20, 284, 8217, 1459, 2361, 32, 16958, 26, 103, 10255, 103, 35, 36, 37, 38, 683, 284, 2706, 103, 35, 36, 37, 38, 20, 284, 8217, 1459, 2361, 32, 16958, 40348, 683, 284, 2706, 1492, 284, 8217, 1459, 2361, 32, 16958, 15520, 85, 563, 225, 34, 30, 313, 84, 563, 225, 34, 30, 313, 83, 563, 225, 34, 835, 3844, 81, 3494, 47, 1815, 27, 284, 3447, 83, 563, 225, 34, 30, 313, 84, 563, 225, 34, 30, 313, 85, 563, 225, 34, 111, 284, 8217, 645, 44524, 1188, 44524, 284, 8217, 3363, 280, 44524, 346, 284, 8217, 2361, 32, 5937, 4901, 22528, 2330, 2188, 3363, 27, 284, 8217, 3363, 32, 371, 853, 346, 284, 330, 1365, 22528, 2330, 1446, 25, 203, 13051, 7328, 403, 284, 8217, 1188, 4281, 1260, 619, 2361, 284, 8217, 2361, 32, 16958, 2009, 35, 30, 36, 30, 37, 30, 12157, 38, 950, 225, 39, 30, 330, 40, 950, 225, 41, 17545, 5456, 4044, 4310, 370, 370, 950, 2847, 284, 13198, 35, 30, 36, 30, 37, 30, 2367, 38, 563, 39, 2360, 40, 563, 41, 10589, 25, 203, 20521, 23582, 403, 284, 8217, 1188, 4281, 1260, 619, 2361, 284, 8217, 309, 280, 2361, 32, 16958, 14178, 38, 950, 225, 39, 30, 330, 40, 950, 225, 41, 835, 3844, 81, 3494, 47, 1815, 30, 10525, 1057, 264, 11134, 284, 8217, 1459, 3228, 96, 2473, 2524, 2009, 94, 32, 38848, 346, 436, 456, 328, 225, 309, 32, 2998, 4446, 27944, 284, 301, 291, 313, 38, 563, 225, 39, 30, 291, 313, 40, 563, 225, 41, 284, 320, 203, 685, 3205, 3398, 403, 284, 8217, 1188, 4281, 1260, 619, 2361, 284, 8217, 2830, 280, 428, 103, 25, 3986, 370, 301, 103, 25, 1632, 950, 428, 103, 25, 12448, 370, 1665, 30, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 5741, 203, 1070, 13625, 1188, 636, 41766, 203, 465, 5167, 203, 465, 20536, 103, 3291, 619, 3920, 203, 465, 6765, 17594, 32, 8774, 32, 1163, 81, 6460, 619, 6677, 203, 1070, 6765, 17594, 32, 3527, 32, 2929, 81, 13610, 1188, 308, 284, 4085, 10383, 30, 48923, 81, 20740, 30, 9145, 13038, 27, 203, 1070, 6765, 17594, 32, 913, 1188, 308, 284, 45623, 81, 8472, 30, 45623, 81, 13001, 30, 45623, 81, 19452, 30, 45623, 81, 2319, 203, 27, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 5807, 81, 2319, 280, 313, 290, 7983, 20, 203, 20753, 81, 20740, 280, 48923, 81, 20740, 32, 8233, 1371, 284, 3920, 32, 5413, 26, 14594, 81, 8472, 711, 6677, 32, 800, 30, 284, 3920, 32, 5413, 26, 14594, 81, 19452, 711, 6677, 32, 800, 30, 284, 3920, 32, 5413, 26, 14594, 81, 13001, 711, 6677, 32, 800, 30, 284, 3920, 32, 7556, 26, 14594, 81, 2319, 30, 1244, 47, 5807, 81, 2319, 711, 6677, 32, 800, 30, 203, 1748, 203, 589, 622, 81, 20333, 2176, 31667, 30, 1359, 711, 284, 20410, 280, 27409, 2558, 1197, 5408, 3033, 13038, 26, 1163, 77, 16799, 1130, 284, 442, 20410, 415, 20410, 32, 3127, 81, 1664, 813, 1665, 203, 3033, 280, 636, 41766, 463, 3033, 370, 2107, 4229, 370, 330, 426, 3490, 203, 823, 27409, 2558, 1197, 5408, 3033, 13038, 26, 3033, 13038, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1359, 711, 291, 630, 32, 2135, 81, 4295, 280, 1605, 291, 3408, 280, 1359, 77, 14594, 81, 8472, 79, 291, 630, 1114, 965, 280, 330, 525, 555, 2537, 33, 605, 33, 371, 6754, 1120, 32, 11797, 2473, 1643, 26, 2035, 27, 291, 630, 1114, 3615, 965, 280, 330, 525, 555, 2537, 33, 1704, 599, 33, 3615, 2473, 1643, 26, 2035, 27, 291, 630, 1114, 699, 280, 1359, 32, 371, 26, 14594, 81, 19452, 27, 291, 630, 1114, 2895, 280, 1359, 32, 371, 26, 14594, 81, 13001, 27, 291, 415, 1359, 32, 371, 26, 14594, 81, 2319, 27, 610, 313, 615, 812, 563, 324, 630, 1114, 681, 280, 330, 15286, 25, 291, 813, 44, 324, 630, 1114, 681, 280, 330, 98, 3604, 25, 291, 630, 1114, 18267, 280, 1665, 291, 630, 32, 3127, 81, 1664, 280, 630, 1114, 1877, 81, 1338, 346, 291, 617, 22228, 32, 1338, 440, 13038, 8765, 657, 284, 665, 8971, 81, 13204, 26, 784, 711, 291, 630, 1114, 1877, 81, 1338, 346, 291, 442, 428, 2929, 32, 4229, 436, 3298, 328, 630, 32, 2135, 81, 4295, 79, 284, 665, 622, 81, 2929, 81, 426, 26, 784, 30, 3298, 711, 291, 636, 280, 2354, 1162, 324, 1056, 32, 426, 436, 1056, 328, 630, 32, 2135, 81, 4295, 324, 415, 1056, 32, 4229, 610, 3298, 471, 1665, 27, 291, 442, 636, 284, 665, 617, 3615, 26, 784, 711, 291, 617, 22228, 32, 1338, 440, 11161, 328, 372, 3366, 5408, 21850, 291, 1596, 44, 324, 706, 280, 428, 400, 2726, 496, 370, 630, 1114, 699, 471, 400, 308, 784, 1114, 681, 30, 630, 1114, 2895, 471, 324, 1481, 324, 736, 280, 5167, 32, 1526, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 4, 5, 5, 8, 9, 8, 9, 9, 9, 8, 6, 7, 8, 5, 5, 5, 8, 9, 8, 9, 9, 9, 8, 6, 7, 8, 5, 5, 5, 8, 9, 8, 9, 9, 9, 8, 6, 7, 8, 5, 5, 5, 8, 9, 8, 9, 9, 9, 8, 8, 9, 10, 10, 10, 8, 6, 7, 8, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 6, 6, 6, 4, 4, 0, 3, 2, 2, 4, 4, 6, 6, 4, 7, 7, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 6, 6, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 8, 4, 4, 7, 8, 8, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 5, 8, 9, 8, 9, 9, 9, 8, 6, 6, 8, 8, 8, 5, 5, 9, 10, 8, 8, 10, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 11, 11, 11, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 8, 7, 8, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 5, 8, 7, 8, 6, 7, 7, 7, 8, 9, 9, 9, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 10, 11, 9, 10, 10, 10, 11, 12, 12, 12, 9, 9, 10, 12, 13, 11, 11, 9, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 5, 5, 8, 8, 9, 9, 12, 12, 10, 11, 12, 10, 9, 9, 12, 11, 12, 10, 10, 11, 12, 10, 9, 9, 6, 6, 8, 8, 10, 11, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 1, 1, 0, 4, 4, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 5, 5, 0, 1, 2, 1, 4, 4, 4, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 6, 6, 0, 1, 2, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 5, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 7, 2, 2, 1, 1, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 3, 1, 2, 0, 12, 12, 1, 1, 1, 1, 1, 2, 1, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 2, 0, 0, 1, 2, 6, 6, 4, 4, 4, 0, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 4, 4, 1, 0, 1, 2, 1, 2, 2, 2, 3, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 3, 2, 1, 2, 2, 0, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 0, 0, 0, 2, 1 ]
[ 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 6259, 26, 3378, 32, 1243, 711, 284, 636, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 27, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 630, 32, 426, 284, 665, 622, 81, 11148, 81, 965, 26, 784, 711, 291, 442, 3056, 4338, 33, 17583, 9708, 101, 7404, 904, 630, 32, 314, 203, 823, 3772, 11481, 26, 3378, 32, 1243, 711, 284, 1780, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 27, 284, 17310, 280, 4549, 32, 20488, 1176, 346, 284, 4081, 280, 4549, 32, 13343, 26, 4360, 27, 284, 443, 11985, 44, 291, 5547, 280, 2933, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 630, 32, 1311, 203, 823, 20671, 26, 1761, 11481, 711, 284, 2340, 81, 4524, 280, 4549, 32, 36172, 346, 203, 823, 15807, 11481, 26, 1761, 11481, 711, 284, 2340, 81, 4524, 280, 4549, 32, 36172, 346, 284, 665, 622, 81, 11148, 81, 965, 26, 784, 711, 291, 442, 3056, 965, 11507, 9708, 101, 7404, 904, 630, 32, 7794, 284, 622, 81, 11148, 81, 965, 32, 35161, 280, 2933, 203, 823, 2821, 11481, 26, 1761, 11481, 711, 284, 2340, 81, 4524, 280, 4549, 32, 1547, 1176, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 2, 2, 3, 3, 3, 3, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 6, 6, 7, 8, 2, 2, 6, 6, 6, 6, 5, 6, 4, 4, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 3, 0, 0, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 3, 3, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 20717, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 2322, 315, 81, 1199, 1188, 4125, 619, 3082, 81, 1237, 203, 465, 18792, 203, 81, 36190, 81, 42061, 280, 5053, 41204, 950, 330, 476, 12752, 32, 1199, 32, 41204, 32, 1237, 6040, 203, 18980, 280, 3082, 81, 1237, 32, 1996, 2554, 32, 1070, 81, 1163, 26, 4687, 32, 14594, 30, 9161, 81, 9387, 11645, 36190, 81, 42061, 30, 1378, 13671, 47, 1815, 27, 203, 589, 622, 81, 2386, 2262, 284, 442, 6786, 62, 203, 50, 25931, 32, 669, 81, 2559, 32095, 26, 8183, 32, 1319, 3103, 2281, 27, 203, 823, 9476, 26, 1473, 711, 284, 477, 8183, 32, 37697, 284, 665, 1156, 1664, 3207, 784, 711, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 1251, 1338, 81, 668, 26, 784, 30, 6090, 47, 2521, 30, 10582, 47, 2521, 30, 2723, 47, 2521, 30, 3775, 10029, 47, 2521, 30, 3844, 81, 678, 47, 2521, 30, 3844, 81, 1515, 47, 2521, 711, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 1251, 81, 668, 26, 784, 30, 10582, 47, 2521, 30, 2723, 47, 2521, 30, 10029, 47, 2521, 30, 2855, 3844, 81, 678, 47, 2521, 30, 3844, 81, 1515, 47, 2521, 711, 284, 477, 8183, 32, 37697, 284, 665, 28301, 81, 1251, 26, 784, 30, 2604, 30, 1541, 81, 314, 711, 284, 477, 8183, 32, 37697, 284, 665, 3621, 81, 1251, 26, 784, 30, 2604, 30, 1541, 81, 314, 711, 284, 477, 8183, 32, 37697, 284, 665, 1487, 81, 1251, 26, 784, 30, 2078, 711, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 1251, 81, 1170, 81, 314, 26, 784, 30, 1541, 81, 314, 711, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 1251, 81, 1170, 81, 6572, 26, 784, 30, 1541, 81, 6572, 711, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 1251, 81, 1170, 81, 426, 26, 784, 30, 1541, 81, 426, 711, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 1251, 81, 1170, 81, 2386, 26, 784, 30, 1980, 711, 284, 477, 8183, 32, 37697, 284, 665, 10080, 81, 1251, 26, 784, 30, 1541, 81, 314, 711, 284, 477, 8183, 32, 37697, 284, 665, 1974, 81, 1251, 26, 784, 30, 1541, 81, 314, 30, 2078, 711, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 625, 81, 1170, 81, 314, 26, 784, 30, 2601, 81, 314, 711, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 625, 81, 1170, 81, 6572, 26, 784, 30, 2601, 81, 6572, 711, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 625, 81, 1170, 81, 2468, 26, 784, 30, 2965, 711, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 625, 81, 668, 26, 784, 30, 2723, 47, 2521, 30, 10029, 47, 2521, 30, 2855, 3844, 81, 678, 47, 2521, 30, 3844, 81, 1515, 47, 2521, 711, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 11170, 81, 1170, 81, 1251, 81, 314, 26, 784, 30, 1541, 81, 314, 30, 2723, 47, 2521, 30, 10029, 47, 2521, 30, 6035, 3844, 81, 678, 47, 2521, 30, 3844, 81, 1515 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 6, 6, 5, 6, 6, 4, 5, 5, 5, 4, 6, 5, 6, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 5, 6, 4, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 5, 6, 6, 6, 4, 1, 2, 2, 3, 4, 3, 2, 2, 7, 6, 7, 4, 4, 5, 6, 6, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 8, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 7, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 7, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 7, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 8, 6, 6, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 3, 3, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 5, 2, 1, 0, 6, 6, 1, 1, 2, 6, 6, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 7, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 9, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 4, 4, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 4, 4, 0, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 1, 2, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 2, 10, 10, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 2, 11, 11, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 4, 4, 0, 1, 2, 12, 12, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 2, 14, 14, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 2, 15, 15, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 4, 4, 0, 1, 2, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 0 ]
[ 1070, 6109, 81, 2846, 1188, 34281, 203, 823, 17226, 299, 4248, 7262, 26, 34243, 32, 7262, 711, 284, 13807, 81, 681, 280, 34281, 32, 16357, 26, 1855, 1057, 681, 683, 284, 2385, 280, 34281, 32, 30400, 26, 1855, 1057, 887, 81, 998, 683, 284, 23126, 280, 34281, 32, 30400, 26, 1855, 1057, 3798, 81, 998, 683, 284, 7533, 280, 34281, 32, 3670, 1176, 346, 203, 823, 6575, 7262, 26, 34243, 32, 7262, 711, 284, 804, 280, 34281, 32, 16357, 26, 1855, 1057, 8795, 81, 678, 683, 284, 827, 280, 34281, 32, 16357, 26, 1855, 1057, 1521, 81, 681, 683, 284, 2935, 280, 34281, 32, 16357, 26, 1855, 1057, 2544, 683, 284, 2503, 81, 426, 280, 34281, 32, 16357, 346, 284, 485, 1691, 981, 280, 34281, 32, 39471, 26, 1536, 47, 2700, 27, 284, 2179, 280, 34281, 32, 16357, 346, 284, 5713, 280, 34281, 32, 16357, 346, 203, 823, 22509, 8634, 7262, 26, 34243, 32, 7262, 711, 284, 3051, 280, 34281, 32, 16357, 26, 1855, 1057, 2388, 683, 284, 9058, 280, 34281, 32, 7262, 1868, 1176, 463, 371, 81, 8587, 683, 284, 665, 622, 81, 8587, 26, 784, 30, 5193, 711, 291, 14300, 280, 2149, 291, 436, 1202, 30, 2163, 328, 5193, 710, 8587, 5695, 40957, 2262, 324, 14300, 77, 678, 79, 280, 6575, 7262, 26, 1521, 547, 605, 291, 442, 14300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 7, 6, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 9, 9, 2, 2, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 5, 5, 8, 10, 10, 8, 7, 5, 5, 9, 10, 9, 8, 8, 11, 11, 12, 11, 10, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 2, 1, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 322, 7221, 32, 6800, 619, 394, 203, 823, 33196, 2265, 26, 1473, 711, 284, 665, 739, 81, 753, 26, 784, 30, 298, 711, 291, 630, 32, 98, 280, 298, 284, 665, 739, 81, 1823, 26, 784, 30, 5396, 711, 291, 630, 32, 1823, 280, 5396, 284, 665, 1156, 1851, 3207, 784, 30, 7699, 711, 291, 442, 7699, 284, 665, 622, 81, 1163, 26, 784, 711, 291, 442, 3447, 426, 563, 630, 3667, 823, 29215, 426, 505, 111, 203, 823, 20749, 14377, 2265, 26, 14377, 2265, 711, 284, 665, 1156, 1664, 3207, 784, 30, 456, 35, 47, 34, 4317, 456, 36, 47, 34, 32, 711, 291, 630, 32, 94, 35, 280, 456, 35, 291, 630, 32, 94, 36, 280, 456, 36, 284, 665, 739, 81, 753, 26, 784, 30, 298, 711, 291, 630, 32, 98, 280, 298, 284, 665, 1156, 1851, 3207, 784, 30, 7699, 711, 291, 7699, 1454, 394, 32, 1036, 26, 3596, 26, 784, 32, 98, 490, 319, 630, 32, 94, 35, 291, 7699, 1454, 394, 32, 1036, 26, 784, 32, 98, 1115, 225, 36, 27, 319, 630, 32, 94, 36, 291, 442, 7699, 284, 665, 622, 81, 1163, 26, 784, 711, 291, 442, 3447, 426, 563, 630, 3667, 823, 29215, 426, 7642, 400, 313, 94, 35, 563, 630, 32, 94, 35, 30, 400, 313, 94, 36, 563, 630, 32, 94, 36, 111, 203, 823, 13481, 14377, 2265, 26, 14377, 2265, 711, 284, 665, 1156, 1664, 3207, 784, 30, 456, 35, 47, 34, 4317, 456, 36, 47, 34, 32, 711, 291, 630, 32, 94, 35, 280, 456, 35, 291, 630, 32, 94, 36, 280, 456, 36, 284, 665, 739, 81, 1823, 26, 784, 30, 5396, 711, 291, 630, 32, 1823, 280, 5396, 284, 665, 1156, 1851, 3207, 784, 30, 7699, 711, 291, 7699, 1454, 630, 32, 94, 35, 319, 394, 32, 1036, 26, 70, 32, 6009, 26, 3596, 26, 784, 32, 1823, 32, 371, 81, 2024, 26, 1815, 3662, 6013, 47, 34, 490, 291, 7699, 1454, 630, 32, 94, 36, 319, 394, 32, 1036, 26, 70, 32, 6009, 26, 784, 32, 1823, 32, 371, 81, 2024, 26, 1815, 27, 1115, 225, 36, 30, 6013, 47, 34, 490, 291, 442, 7699, 284, 665, 622, 81, 1163, 26, 784, 711, 291, 442, 3447, 426, 563, 630, 3667, 823, 29215, 426, 7642, 400, 313, 94, 35, 563, 630, 32, 94, 35, 30, 400, 313, 94, 36, 563, 630, 32, 94, 36, 111, 203, 589, 456, 35, 26, 94, 47, 34, 32, 34, 35, 711, 284, 442, 20749, 14377, 2265, 26, 94, 35, 47, 94, 27, 203, 589, 456, 36, 26, 94, 47, 34, 32, 34, 35, 711, 284, 442, 20749, 14377, 2265, 26, 94, 36, 47, 94, 27, 203, 589, 456, 35, 94, 36, 26, 94, 35, 47, 34, 32, 34, 35, 30, 456, 36, 47, 34, 32, 34, 35, 711, 284, 442, 20749, 14377, 2265, 26, 94, 35, 47, 94, 35, 30, 456, 36, 47, 94, 36, 27, 203, 589, 8790, 81, 94, 35, 26, 94, 47, 34, 32, 34, 35, 711, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 9, 7, 9, 10, 10, 9, 9, 6, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 5, 6, 6, 4, 6, 5, 6, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 9, 11, 11, 13, 12, 13, 11, 7, 7, 8, 9, 9, 4, 4, 6, 6, 9, 10, 9, 12, 11, 12, 10, 10, 11, 9, 7, 7, 8, 9, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 9, 7, 9, 10, 10, 9, 9, 6, 6, 9, 9, 9, 7, 8, 9, 9, 6, 6, 6, 9, 9, 9, 7, 8, 9, 9, 6, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 5, 6, 6, 4, 6, 5, 6, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 7, 7, 9, 10, 9, 12, 11, 12, 11, 13, 13, 17, 16, 17, 15, 16, 16, 16, 15, 16, 15, 11, 12, 13, 11, 4, 4, 6, 6, 8, 9, 9, 7, 7, 9, 10, 9, 12, 11, 12, 11, 16, 15, 16, 14, 15, 15, 15, 14, 15, 14, 12, 12, 13, 11, 11, 12, 13, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 9, 7, 9, 10, 10, 9, 9, 6, 6, 9, 9, 9, 7, 8, 9, 9, 6, 6, 6, 9, 9, 9, 7, 8, 9, 9, 6, 0, 1, 1, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 5, 5, 5, 7, 7, 6, 7, 5, 0, 1, 1, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 5, 5, 5, 7, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 5, 5, 5, 7, 7, 6, 7, 7, 5, 5, 7, 6, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 0, 5, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 0, 4, 4, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 0, 5, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 4, 4, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 0, 5, 5, 1, 2, 0, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 6, 6, 1, 2, 0, 1, 2, 2, 2, 2, 2, 6, 6, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 7, 7, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 3, 2, 2, 2, 2, 2, 7, 7, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 3, 2, 2, 1, 0, 8, 8, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 8 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 465, 345, 692, 314, 203, 465, 3363, 203, 465, 18792, 203, 465, 5237, 203, 465, 15798, 203, 1070, 438, 297, 81, 7527, 493, 32, 24235, 2353, 1188, 3964, 81, 3958, 203, 1070, 18792, 81, 27588, 1188, 1201, 22101, 10851, 30, 1201, 10851, 203, 823, 2756, 1296, 23442, 493, 5197, 4364, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 9430, 26, 784, 711, 291, 2799, 81, 2273, 280, 225, 35, 32, 35, 291, 2799, 81, 6006, 280, 225, 36, 32, 36, 291, 2799, 81, 2390, 280, 428, 37, 32, 37, 30, 225, 38, 32, 38, 30, 225, 39, 32, 39, 79, 291, 3964, 81, 3958, 81, 2067, 280, 3964, 81, 3958, 32, 5197, 4364, 26, 2273, 47, 3140, 81, 2273, 30, 10423, 47, 3140, 81, 6006, 30, 24896, 4193, 47, 3140, 81, 2390, 27, 291, 630, 32, 5299, 26, 3287, 81, 3958, 81, 2067, 32, 2273, 1026, 2799, 81, 2273, 27, 291, 630, 32, 5299, 26, 3287, 81, 3958, 81, 2067, 32, 6006, 1026, 2799, 81, 6006, 27, 291, 630, 32, 5299, 26, 3287, 81, 3958, 81, 2067, 32, 2390, 1026, 2799, 81, 2390, 27, 291, 630, 32, 5299, 26, 3287, 81, 3958, 81, 2067, 32, 3229, 81, 681, 1026, 313, 2479, 24698, 657, 291, 2384, 81, 6006, 81, 410, 280, 225, 35, 291, 4193, 81, 410, 280, 428, 36, 30, 225, 37, 30, 225, 38, 79, 291, 3964, 81, 3958, 81, 2067, 81, 410, 280, 3964, 81, 3958, 32, 5197, 4364, 26, 2273, 47, 2273, 81, 6006, 81, 410, 30, 10423, 47, 2273, 81, 6006, 81, 410, 30, 34670, 4193, 47, 2390, 81, 410, 30, 6024, 347, 2479, 24698, 657, 291, 630, 32, 6549, 26, 38003, 26, 3287, 81, 3958, 81, 2067, 32, 2273, 1026, 1897, 490, 291, 630, 32, 6549, 26, 38003, 26, 3287, 81, 3958, 81, 2067, 32, 6006, 1026, 1897, 490, 291, 630, 32, 5299, 26, 3287, 81, 3958, 81, 2067, 81, 410, 32, 2273, 1026, 1897, 26, 2273, 81, 6006, 81, 410, 490, 291, 630, 32, 5299, 26, 3287, 81, 3958, 81, 2067, 81, 410, 32, 6006, 1026, 1897, 26, 2273, 81, 6006, 81, 410, 490, 291, 630, 32, 5299, 26, 3287, 81, 3958, 81, 2067, 81, 410, 32, 2390, 1026, 428, 36, 32, 34, 30, 225, 37, 32, 34, 30, 225, 38, 32, 34, 1130, 291, 2384, 81, 6006, 81, 800, 280, 313, 39, 20, 291, 4193, 81, 800, 280, 3037, 36, 32, 34, 392, 313, 37, 32, 34, 392, 313, 39, 32, 34, 1446, 291, 3964, 81, 3958, 81, 2067, 81, 466, 280, 3964, 81, 3958, 32, 5197, 4364, 26, 2273, 47, 2273, 81, 6006, 81, 800, 30, 10423, 47, 2273, 81, 6006, 81, 800, 30, 34670, 4193, 47, 2390, 81, 800, 30, 6024, 347, 2479, 24698, 657, 291, 630, 32, 6549, 26, 38003, 26, 3287, 81, 3958, 81, 2067, 32, 2273, 1026, 1897, 490, 291, 630, 32, 6549, 26, 38003, 26, 3287, 81, 3958, 81, 2067, 32, 6006, 1026, 1897, 490, 291, 630, 32, 5299, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 9, 10, 9, 7, 8, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 9, 10, 9, 7, 8, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 9, 10, 9, 7, 8, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 7, 9, 9, 9, 4, 4, 7, 7, 7, 7, 6, 6, 7, 4, 4, 7, 7, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 9, 11, 11, 11, 4, 4, 7, 8, 7, 9, 9, 12, 12, 12, 12, 12, 11, 12, 11, 9, 9, 4, 4, 7, 8, 7, 9, 9, 12, 12, 12, 12, 12, 11, 12, 11, 9, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 10, 10, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 10, 10, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 9, 11, 11, 11, 4, 4, 7, 8, 7, 9, 9, 12, 12, 12, 12, 12, 11, 12, 11, 9, 9, 4, 4, 7, 8, 7, 9, 9, 12, 12, 12, 12, 12, 11, 12, 11, 9, 9, 4, 4, 7, 8, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 1, 2, 2, 6, 6, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 7, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 7, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 301, 284, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 284, 330, 1517, 950, 2107, 8687, 2188, 284, 330, 7095, 81, 1170, 950, 330, 11863, 25, 203, 111, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 18452, 81, 37389, 81, 3419, 81, 37261, 203, 4021, 81, 2310, 44, 570, 3790, 44052, 2625, 23244, 65, 18857, 17810, 203, 2310, 44, 284, 429, 1348, 2297, 883, 526, 1654, 372, 20133, 44052, 2625, 17810, 32, 203, 2116, 44, 313, 2774, 4980, 2709, 364, 1224, 302, 305, 286, 11931, 20844, 302, 305, 286, 4731, 203, 1648, 81, 11043, 44, 313, 36, 32, 40, 20, 203, 9971, 81, 10270, 81, 9854, 44, 18452, 81, 37389, 32, 10270, 203, 15965, 44, 334, 429, 313, 2958, 2377, 225, 36, 32, 40, 20, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 636, 44, 570, 3790, 44052, 2625, 1169, 17810, 334, 18452, 81, 37389, 81, 3419, 81, 37261, 44, 284, 24764, 81, 1956, 44, 17610, 24764, 81, 1956, 7397, 203, 31, 636, 44, 1390, 3270, 432, 6699, 2154, 17310, 438, 8967, 334, 18452, 81, 37389, 81, 3419, 81, 37261, 44, 284, 24764, 81, 1956, 44, 17610, 24764, 81, 1956, 7397, 334, 3909, 44, 5127, 81, 541, 203, 31, 4588, 44, 773, 47, 5243, 81, 541, 203, 31, 739, 81, 11711, 44, 284, 6699, 81, 7794, 44, 17610, 1623, 32, 426, 7397, 334, 623, 81, 3028, 44, 17610, 5127, 81, 541, 32, 605, 110, 1260, 81, 1217, 26, 426, 27, 7397, 334, 14447, 44, 284, 636, 44, 7185, 49, 7794, 379, 82, 5562, 85, 35, 82, 12032, 203, 31, 4588, 44, 773, 47, 3419, 81, 7794, 203, 9592, 203, 10934, 280, 5881, 203, 605, 44, 284, 3048, 44, 23244, 65, 18857, 17810, 44052, 284, 4717, 44, 3117, 284, 827, 44, 1149, 284, 3964, 44, 428, 291, 301, 324, 313, 7230, 563, 861, 30, 324, 313, 5905, 563, 428, 400, 313, 2055, 81, 32524, 392, 400, 313, 48374, 392, 400, 313, 12288, 40, 392, 400, 313, 4519, 392, 400, 313, 3789, 81, 4867, 392, 400, 313, 4219, 20, 324, 2505, 324, 313, 426, 563, 313, 1812, 22643, 225, 35, 392, 324, 313, 15335, 563, 428, 400, 313, 39, 35, 36, 1232, 392, 400, 313, 101, 31, 35, 42528, 31, 35, 6193, 392, 400, 313, 35, 6193, 392, 400, 313, 101, 31, 37, 42528, 31, 35, 6193, 392, 400, 313, 101, 31, 35, 42528, 31, 36, 6193, 392, 400, 313, 101, 31, 36, 42528, 31, 36, 6193, 392, 400, 313, 36, 6193, 392, 400, 313, 101, 31, 35, 42528, 31, 37, 6193, 392, 400, 313, 101, 31, 36, 42528, 31, 38, 6193, 392, 400, 313, 38, 6193, 392, 400, 313, 85, 31, 36, 392, 400, 313, 95, 31, 35, 42528, 31, 42, 6193, 392, 400, 313, 42, 6193, 392, 400, 313, 101, 31, 38, 42528, 31, 42, 6193, 392, 400, 313, 101, 31, 40, 42528, 31, 35, 40, 6193, 392, 400, 313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 622, 4617, 30, 19571, 30, 1133, 30, 6234, 203, 465, 2322, 203, 465, 44524, 203, 1070, 42406, 1188, 8735, 39, 203, 1070, 4096, 32, 1175, 1188, 4578, 203, 1070, 4096, 32, 4815, 1188, 15386, 203, 1070, 27847, 348, 32, 3337, 1188, 2054, 265, 30, 13199, 203, 1070, 8206, 13835, 32, 7880, 32, 3997, 491, 1188, 35460, 2328, 924, 203, 1070, 8206, 13835, 32, 2200, 1188, 37875, 203, 1070, 8206, 13835, 32, 28783, 1188, 13423, 203, 1070, 8206, 13835, 32, 19276, 1188, 312, 1199, 1237, 203, 1070, 8206, 13835, 32, 3351, 13835, 1188, 4921, 1199, 95, 203, 2203, 81, 2576, 9779, 30, 5900, 81, 2576, 7287, 815, 280, 2155, 26, 36, 30, 225, 38, 27, 261, 203, 9425, 11483, 81, 26913, 280, 428, 284, 330, 8256, 370, 330, 1792, 370, 330, 1547, 370, 330, 1175, 31, 779, 370, 330, 15661, 370, 284, 330, 3644, 370, 330, 8683, 370, 330, 74, 612, 25, 203, 79, 203, 589, 9960, 13995, 26, 954, 39, 711, 3701, 442, 35617, 2524, 26, 1110, 26, 5962, 816, 44, 9960, 26, 655, 26, 106, 29856, 36, 23751, 8735, 39, 32, 13995, 5156, 203, 823, 20671, 44, 284, 665, 1156, 1664, 3207, 784, 30, 5759, 30, 3361, 711, 291, 630, 32, 1548, 280, 3361, 291, 630, 32, 5078, 280, 2149, 291, 3338, 280, 1665, 291, 436, 1628, 328, 5759, 32, 2998, 9442, 100, 78, 96, 7831, 324, 415, 1628, 77, 34, 79, 328, 330, 766, 102, 950, 400, 595, 280, 1149, 26, 784, 32, 5078, 77, 2111, 1130, 400, 595, 77, 35, 79, 1454, 3228, 100, 78, 96, 25, 474, 1628, 324, 813, 44, 400, 595, 280, 1628, 32, 2998, 16487, 5769, 225, 35, 27, 400, 3338, 280, 595, 77, 34, 997, 5729, 346, 324, 630, 32, 5078, 77, 2111, 79, 280, 8825, 26, 91, 27, 291, 415, 646, 630, 32, 31050, 463, 1175, 31, 779, 7831, 324, 309, 280, 596, 26, 1003, 32, 1003, 1157, 474, 630, 32, 1548, 324, 804, 280, 9960, 13995, 26, 954, 39, 26, 101, 490, 474, 3770, 25, 474, 6234, 32, 44239, 649, 426, 346, 324, 630, 32, 524, 2644, 463, 1175, 31, 779, 370, 4145, 23, 101, 6457, 904, 804, 27, 291, 415, 646, 630, 32, 31050, 463, 3644, 7831, 324, 630, 32, 524, 2644, 463, 3644, 370, 596, 26, 1657, 26, 784, 32, 1548, 2610, 291, 415, 646, 630, 32, 31050, 463, 8683, 7831, 324, 630, 32, 524, 2644, 463, 8683, 370, 596, 26, 784, 32, 1548, 32, 998, 9442, 96, 21180, 291, 415, 646, 630, 32, 31050, 463, 1547, 7831, 324, 630, 32, 524, 2644, 463, 1547, 370, 1133, 32, 27749, 26, 1003, 32, 1003, 5156, 284, 665, 622, 2644, 26, 784, 30, 3338, 711, 291, 420, 280, 3338, 32, 5729, 346, 291, 415, 420, 328, 630, 32, 5078, 44, 324, 442, 630, 32, 5078, 77, 90, 1674, 35, 79, 291, 813, 44, 324, 442, 4247, 284, 665, 4162, 2644, 26, 784, 30, 3338, 30, 786, 711, 291, 630, 32, 5078, 77, 2111, 32, 5729, 7662, 280, 308, 2111, 30, 786, 27, 284, 665, 1344, 6267, 26, 784, 711, 291, 4826 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 2, 4, 5, 4, 4, 5, 4, 0, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 6, 5, 7, 7, 8, 8, 8, 8, 11, 13, 13, 14, 13, 11, 10, 7, 10, 9, 10, 9, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 10, 10, 10, 9, 5, 5, 7, 9, 10, 9, 8, 8, 10, 11, 10, 7, 7, 10, 10, 12, 15, 14, 15, 13, 14, 13, 8, 8, 11, 12, 11, 10, 10, 14, 14, 14, 13, 11, 11, 7, 7, 8, 8, 8, 11, 11, 13, 14, 13, 15, 13, 14, 13, 9, 9, 11, 11, 14, 15, 14, 14, 13, 6, 6, 10, 11, 9, 10, 9, 8, 8, 10, 11, 10, 4, 4, 5, 6, 8, 9, 8, 10, 10, 10, 10, 5, 5, 8, 8, 11, 14, 13, 14, 13, 9, 9, 10, 11, 6, 6, 8, 8, 12, 12, 14, 14, 14, 15, 14, 10, 10, 12, 9, 9, 11, 12, 12, 12, 11, 6, 6, 9, 10, 10, 9, 11, 11, 11, 11, 9, 12, 12, 12, 10, 10, 9, 4, 4, 5, 6, 8, 9, 8, 10, 10, 5, 5, 9, 10, 10, 9, 11, 11, 9, 11, 13, 13, 15, 14, 15, 13, 4, 4, 5, 6, 8, 9, 8, 10, 10, 5, 5, 9, 10, 10, 9, 11, 11, 9, 11, 15, 14, 15, 13, 14, 13, 16, 15, 4, 4, 5, 6, 8, 9, 8, 10, 10, 5, 5, 9, 10, 10, 9, 11, 11, 9, 11, 12, 11, 14, 13, 14, 13, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 7, 8, 5, 5, 5, 7, 10, 11, 9, 10, 9, 9, 8, 5, 5, 6, 6, 6, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 10, 9, 10, 9, 6, 6, 8, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 4, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 11, 11, 0, 1, 2, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 14, 14, 1, 2, 1, 1, 2, 14, 14, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 15, 15, 15, 15, 15, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 4, 4, 3, 3, 3, 0, 2, 1, 0, 1, 1, 2, 3, 3, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 3, 3, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 3, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 5, 5, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 4, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 3, 3, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 5, 1, 0, 2, 1, 1, 2, 5, 5, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 4, 4, 6, 1, 0, 2, 1, 1, 2, 6, 6, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 4, 4, 7, 1, 0, 2, 1, 1, 2, 7, 7, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 3, 3, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 4, 0, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 3, 3, 3, 1, 2, 1, 2, 3, 3 ]
[ 505, 13411, 505, 280, 3941, 606, 11033, 203, 1070, 328, 2465, 716, 32, 858, 2304, 1188, 701, 2465, 716, 7233, 203, 1070, 328, 2465, 716, 32, 1840, 1903, 81, 6173, 81, 9769, 81, 1903, 265, 1188, 6594, 81, 9769, 81, 11702, 203, 1070, 328, 2465, 716, 32, 1840, 1903, 81, 6173, 81, 9769, 81, 18241, 1188, 4808, 2981, 1969, 11723, 30, 2498, 81, 4984, 203, 1070, 328, 2465, 716, 32, 858, 2304, 1188, 1930, 81, 858, 81, 9089, 30, 1420, 81, 858, 81, 9089, 30, 646, 858, 203, 589, 5822, 81, 363, 81, 2208, 2262, 284, 894, 280, 20463, 44292, 330, 36338, 370, 2550, 330, 105, 18038, 284, 3878, 280, 1605, 284, 6594, 81, 9769, 280, 6594, 81, 9769, 81, 11702, 32, 2810, 346, 284, 19990, 280, 428, 3483, 32, 1832, 81, 1903, 81, 965, 26, 858, 27, 436, 6863, 328, 6594, 81, 9769, 79, 284, 1938, 371, 5725, 280, 428, 5068, 2981, 1969, 11723, 26, 965, 27, 436, 1984, 328, 19990, 79, 284, 11638, 280, 2498, 81, 4984, 26, 1637, 371, 5725, 30, 1665, 30, 1665, 30, 225, 37, 34, 27, 284, 436, 308, 1637, 30, 6863, 30, 1984, 27, 328, 8529, 26, 1637, 371, 5725, 30, 6594, 81, 9769, 30, 19990, 711, 291, 415, 646, 1984, 44, 324, 3878, 32, 1689, 440, 12014, 372, 1968, 1984, 436, 499, 313, 474, 6863, 32, 426, 27, 324, 4036, 291, 415, 2069, 26, 1637, 32, 605, 27, 610, 225, 34, 44, 324, 3878, 32, 1689, 440, 8039, 47427, 1938, 623, 499, 313, 474, 6863, 32, 426, 27, 324, 4036, 291, 415, 6863, 32, 3922, 44, 324, 3276, 280, 6863, 32, 3922, 32, 2208, 81, 363, 81, 371, 81, 4295, 26, 1637, 32, 605, 27, 324, 1929, 81, 4295, 280, 6863, 32, 3922, 32, 2208, 81, 1516, 81, 4295, 346, 324, 415, 2069, 26, 4295, 27, 610, 225, 34, 44, 400, 3878, 32, 1689, 440, 12014, 372, 3185, 3276, 436, 499, 313, 474, 6863, 32, 426, 27, 400, 4036, 324, 415, 646, 1929, 81, 4295, 44, 400, 3878, 32, 1689, 440, 12014, 372, 3185, 308, 2521, 4717, 27, 1451, 432, 3276, 436, 499, 313, 474, 6863, 32, 426, 27, 324, 1596, 44, 400, 1929, 81, 4295, 280, 629, 26, 1516, 81, 4295, 27, 324, 2940, 44, 400, 3878, 32, 1689, 440, 12014, 372, 3185, 308, 1206, 312, 1451, 27, 1451, 432, 3276, 436, 499, 313, 474, 6863, 32, 426, 27, 284, 442, 3878, 203, 50, 1206, 858, 203, 589, 1968, 81, 1903, 81, 11400, 81, 858, 2262, 284, 1459, 313, 10855, 6594, 81, 1903, 81, 40657, 1968, 81, 1903, 81, 965, 4442, 3107, 284, 3312, 280, 428, 20463, 44292, 330, 1030, 297, 370, 330, 2116, 370, 330, 105, 2188, 2107, 44292, 330, 311, 1865, 370, 330, 1311, 370, 330, 105, 2188, 324, 2107, 41085, 330, 6433, 422, 370, 330, 2116, 370, 330, 105, 2188, 2107, 44292, 330, 9365, 370, 2550, 330, 105, 2188, 2107, 41085, 330, 47967, 370, 2550, 330, 105, 24990, 291, 20463, 44292, 330, 1030, 297, 370, 330, 2116, 370, 330, 105, 2188, 2107, 44292, 330, 311, 1865, 370, 330, 1311, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 8, 6, 8, 8, 6, 6, 8, 8, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 6, 7, 6, 2, 2, 4, 4, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 5, 6, 6, 6, 7, 7, 5, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 8, 7, 5, 6, 6, 6, 5, 2, 2, 4, 4, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 7, 7, 6, 2, 2, 3, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 5, 5, 6, 6, 5, 5, 5, 3, 3, 5, 6, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 9, 6, 6, 4, 4, 5, 8, 10, 9, 10, 8, 6, 6, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 9, 6, 6, 4, 4, 5, 6, 7, 5, 5, 5, 8, 8, 11, 12, 10, 11, 11, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 6, 6, 9, 9, 8, 8, 11, 12, 10, 11, 11, 11, 11, 11, 10, 6, 6, 7, 10, 11, 10, 8, 8, 9, 7, 7, 7, 11, 12, 11, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 14, 11, 8, 8, 6, 6, 7, 8, 9, 9, 7, 7, 7, 11, 12, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 14, 11, 6, 6, 7, 7, 7, 11, 11, 10, 10, 12, 13, 13, 13, 12, 7, 7, 8, 8, 8, 12, 13, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 14, 15, 12, 2, 2, 3, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 6, 10, 8, 10, 10, 10, 8, 10, 10, 8, 10, 10, 7, 10, 8, 10, 10, 10, 8, 10, 10, 8, 10, 10, 7, 7, 10, 8, 10, 10, 10, 8, 10, 10, 8, 10, 10, 7, 10, 8, 10, 10, 8, 8, 10, 10, 7, 10, 8, 10, 10, 8, 8, 10, 10, 6, 6, 10, 8, 10, 10, 10, 8, 10, 10, 8, 10, 10, 7, 10, 8, 10, 10, 10, 8, 10, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 5, 5, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 6, 6, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 5, 5, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 5, 5, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 7, 0, 0, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 3, 1, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 1, 5, 1, 1, 2, 5, 1, 2, 5, 1, 2, 1, 1, 7, 1, 2, 7, 7, 1, 2, 1, 1, 9, 1, 2, 9, 9, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 3, 1, 2 ]
[ 1070, 11995, 107, 1188, 22653, 107, 2023, 10038, 5711, 203, 1070, 11995, 4554, 1120, 1188, 319, 203, 823, 33708, 40, 38, 14198, 4554, 1120, 26, 2312, 13333, 1975, 4554, 1120, 711, 284, 665, 622, 14198, 4554, 1063, 26, 784, 30, 1440, 4058, 30, 3145, 30, 5801, 720, 30, 1014, 8241, 720, 30, 1244, 8483, 711, 291, 1359, 280, 11995, 4554, 1120, 32, 371, 14198, 4554, 1063, 26, 784, 30, 1440, 4058, 30, 5593, 3145, 30, 5801, 720, 30, 8241, 720, 30, 5593, 1244, 8483, 27, 291, 1359, 32, 669, 2711, 440, 268, 881, 11822, 657, 291, 442, 1359, 284, 665, 2866, 3761, 315, 26, 784, 30, 1440, 4058, 30, 3145, 30, 5801, 720, 30, 27384, 8241, 720, 30, 1244, 8483, 711, 291, 1359, 280, 630, 32, 371, 14198, 4554, 1063, 26, 2325, 4058, 30, 3145, 30, 10631, 5801, 720, 30, 8241, 720, 30, 1244, 8483, 27, 291, 442, 1359, 32, 1821, 26, 2325, 4058, 474, 630, 32, 1163, 761, 30, 38875, 280, 225, 34, 41, 39, 39, 27, 284, 665, 2866, 26, 784, 30, 1440, 4058, 30, 3145, 30, 5801, 720, 30, 8241, 720, 30, 1244, 8483, 711, 291, 415, 2069, 26, 6474, 720, 27, 2377, 225, 35, 44, 324, 7631, 280, 630, 32, 1821, 3761, 315, 26, 2325, 4058, 30, 3145, 30, 5801, 720, 30, 1378, 8241, 720, 30, 1244, 8483, 27, 324, 415, 7631, 44, 400, 442, 7631, 291, 813, 44, 324, 3636, 22653, 107, 2023, 10038, 5711, 291, 7631, 280, 630, 32, 2546, 10560, 55, 5501, 9915, 26, 2325, 4058, 27, 291, 415, 7631, 44, 324, 442, 7631, 291, 442, 630, 32, 669, 1812, 55, 5501, 2711, 26, 2325, 4058, 27, 284, 665, 1156, 1664, 3207, 784, 30, 600, 16605, 711, 291, 484, 5501, 14198, 4554, 1120, 3667, 1664, 3207, 784, 30, 600, 16605, 27, 291, 630, 1114, 1163, 426, 280, 313, 342, 14062, 32, 2957, 20, 291, 630, 1114, 3608, 4554, 280, 313, 342, 14062, 32, 2312, 91, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 8, 8, 8, 8, 8, 9, 8, 8, 9, 8, 8, 8, 9, 8, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 8, 9, 9, 8, 8, 8, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 5, 7, 8, 7, 9, 9, 8, 8, 9, 10, 10, 7, 7, 8, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 8, 6, 6, 7, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 11, 11, 10, 10, 10, 10, 11, 10, 10, 10, 11, 10, 10, 11, 10, 6, 6, 7, 7, 7, 7, 9, 5, 5, 6, 6, 6, 8, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 8, 4, 4, 5, 5, 5, 5, 7, 4, 4, 5, 7, 8, 8, 8, 8, 8, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 11, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 7, 1, 1, 9, 1, 1, 1, 11, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 2, 4, 4, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 11, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 2, 2, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 7, 2, 2, 9, 2, 2, 11, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 7, 1, 1, 9, 1, 3, 3, 1, 1, 1, 1, 0, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 4, 4, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 821, 4775, 203, 465, 2361, 203, 465, 5741, 203, 465, 18346, 2516, 203, 465, 2322, 203, 465, 45301, 983, 203, 465, 7060, 203, 465, 5237, 203, 465, 7138, 203, 465, 1133, 203, 465, 12870, 81, 5379, 203, 465, 273, 38200, 32, 525, 1580, 203, 465, 273, 38200, 32, 525, 1786, 203, 465, 273, 38200, 32, 716, 5837, 203, 465, 273, 38200, 32, 1299, 1040, 203, 465, 273, 38200, 32, 1840, 203, 1070, 21381, 32368, 1188, 3488, 203, 1070, 21381, 32368, 32, 13261, 1188, 26881, 38877, 11434, 203, 4073, 280, 5741, 32, 10579, 440, 6303, 32368, 32, 1786, 657, 203, 823, 8229, 1405, 1437, 26, 102, 38200, 32, 1840, 32, 29949, 711, 284, 665, 7379, 26, 784, 30, 13575, 711, 291, 630, 1114, 13261, 280, 13575, 284, 665, 622, 26, 784, 30, 1411, 711, 291, 5797, 280, 630, 32, 371, 81, 2669, 463, 605, 370, 1244, 347, 2537, 657, 291, 4209, 280, 2361, 32, 12474, 26, 6263, 27, 291, 415, 19326, 26, 784, 1114, 13261, 30, 1411, 711, 324, 1056, 280, 18623, 26, 784, 1114, 13261, 30, 1411, 2502, 326, 8299, 27, 324, 630, 32, 1821, 15520, 1986, 563, 1056, 1748, 16189, 813, 44, 324, 630, 32, 2714, 81, 731, 26, 38, 34, 38, 27, 284, 2364, 280, 622, 203, 823, 3772, 2247, 6705, 1972, 26, 102, 38200, 32, 1840, 32, 29949, 711, 284, 665, 7379, 26, 784, 30, 13575, 711, 291, 630, 1114, 13261, 280, 13575, 284, 665, 622, 81, 2387, 81, 983, 26, 784, 711, 291, 442, 12870, 81, 5379, 32, 3142, 81, 3607, 4064, 426, 7642, 330, 8881, 683, 203, 823, 3367, 2529, 1972, 26, 1761, 2247, 6705, 1972, 711, 284, 665, 622, 26, 784, 711, 291, 1169, 81, 8246, 280, 630, 1114, 13261, 32, 2795, 81, 6446, 32, 1809, 81, 464, 81, 19245, 346, 291, 2899, 4243, 280, 1605, 291, 436, 2899, 328, 1169, 81, 8246, 44, 324, 2899, 4243, 32, 1689, 26, 2795, 32, 426, 27, 291, 630, 32, 3169, 440, 3039, 32, 916, 392, 2899, 4243, 47, 2795, 4243, 27, 203, 823, 25066, 2529, 1972, 26, 1761, 2247, 6705, 1972, 711, 284, 665, 622, 26, 784, 30, 636, 711, 291, 8253, 280, 2149, 291, 2287, 5472, 280, 2149, 291, 2899, 5472, 280, 1605, 291, 1169, 81, 8246, 280, 630, 1114, 13261, 32, 2795, 81, 6446, 32, 1809, 81, 464, 81, 19245, 346, 291, 1169, 81, 8246, 81, 1567, 81, 6446, 280, 630, 1114, 13261, 32, 2795, 81, 6446, 32, 1809, 81, 464, 81, 5057, 346, 291, 436, 2899, 328, 1169, 81, 8246, 44, 324, 2899, 81, 4948, 280, 2899, 32, 314, 324, 2899, 81, 426, 280, 2899, 32, 426, 324, 8253, 77, 2795, 81, 4948, 79, 280, 596, 26, 2795, 81, 426, 27, 291, 436, 2899, 328, 1169, 81, 8246, 81, 1567, 81, 6446, 44, 324, 415, 8253, 32, 371, 26, 2795, 32, 2795, 81, 314, 27, 610, 596, 26, 426, 711, 400, 2287, 280, 596, 26, 2795, 32, 1567, 81, 426, 27, 400, 415, 2287, 646, 328, 2287, 5472, 44, 528, 2287, 5472, 77, 1517, 79, 280, 1605, 400, 2287, 5472, 77, 1517, 997, 1689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 0, 1, 1, 3, 2, 3, 3, 0, 1, 1, 3, 2, 3, 3, 0, 1, 1, 3, 2, 3, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 8, 9, 11, 11, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 7, 9, 8, 9, 7, 7, 7, 5, 5, 8, 8, 11, 13, 12, 13, 11, 11, 11, 11, 12, 10, 6, 6, 9, 10, 9, 13, 13, 11, 10, 5, 5, 6, 6, 6, 10, 11, 11, 11, 10, 11, 11, 11, 10, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 7, 8, 8, 8, 7, 8, 8, 7, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 11, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 10, 9, 10, 9, 11, 10, 11, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 9, 8, 9, 9, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 4, 4, 7, 6, 6, 4, 4, 7, 6, 6, 4, 4, 7, 7, 6, 6, 10, 11, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 10, 11, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 9, 10, 6, 6, 9, 9, 8, 8, 9, 10, 6, 6, 9, 10, 10, 10, 9, 8, 8, 10, 11, 11, 11, 10, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 7, 10, 11, 10, 12, 11, 12, 12, 12, 10, 8, 8, 10, 11, 10, 7, 7, 10, 10, 12, 14, 13, 14, 14, 14, 12, 8, 8, 9, 10, 10, 10, 11, 9, 9, 9, 14, 13, 14, 13, 12, 12, 8, 8, 13, 12, 13, 12, 12 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 0, 0, 11, 11, 0, 1, 2, 2, 0, 12, 12, 0, 1, 2, 2, 0, 13, 13, 0, 1, 2, 2, 0, 14, 14, 0, 1, 2, 2, 0, 15, 15, 0, 1, 2, 0, 16, 16, 0, 16, 16, 0, 17, 17, 0, 1, 2, 17, 17, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 19, 19, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 19, 19, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 20, 20, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 20, 20, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 21, 21, 1, 1, 2, 1, 1, 1, 1, 2, 21, 21, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 4, 4, 2, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 0, 3, 2, 2, 1, 0, 22, 22, 1, 1, 2, 1, 1, 1, 1, 2, 22, 22, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 5, 5, 5, 3, 3, 5, 5, 5, 0, 0, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 5, 5, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 6, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 3, 3, 0, 0, 2, 0, 2 ]
[ 465, 41879, 1146, 619, 19271, 203, 465, 19271, 3713, 203, 465, 19271, 22957, 203, 1070, 18127, 431, 25147, 1188, 447, 418, 431, 25147, 203, 1070, 7138, 1188, 30784, 30, 7138, 203, 1070, 14323, 1188, 14323, 30, 14893, 203, 1070, 6109, 81, 2969, 1188, 19868, 619, 13801, 10438, 203, 1070, 6109, 81, 2969, 1188, 19868, 619, 6359, 10438, 203, 1070, 8759, 81, 751, 1188, 16332, 1335, 203, 823, 13123, 2284, 26, 4692, 32, 25762, 711, 284, 665, 1156, 1664, 3207, 784, 30, 18127, 431, 25147, 6196, 383, 63, 2372, 47, 36, 39, 30, 4504, 10438, 6196, 383, 63, 2372, 47, 39, 30, 1946, 10438, 6196, 383, 63, 2372, 47, 35, 39, 711, 291, 19271, 32, 25762, 3667, 1664, 3207, 784, 27, 291, 630, 32, 9100, 3713, 280, 19271, 3713, 32, 3713, 26, 5065, 347, 31218, 392, 1334, 47, 35, 42, 27, 291, 630, 32, 9100, 280, 19271, 32, 2168, 26, 784, 30, 1861, 47, 35, 39, 30, 2357, 47, 784, 32, 9100, 3713, 27, 291, 630, 32, 1366, 6495, 1714, 280, 19271, 32, 1714, 26, 784, 27, 291, 630, 32, 25519, 277, 1714, 280, 19271, 32, 1714, 26, 784, 30, 1344, 347, 27314, 277, 392, 2016, 47, 784, 32, 267, 27314, 277, 27, 291, 630, 32, 9100, 32, 2423, 346, 291, 630, 32, 1366, 6495, 1714, 32, 2423, 346, 291, 630, 32, 25519, 277, 1714, 32, 2423, 346, 291, 630, 32, 1707, 4084, 280, 14323, 346, 291, 630, 1114, 2956, 10816, 1104, 346, 291, 630, 1114, 14704, 66, 418, 431, 271, 500, 280, 225, 34, 291, 630, 1114, 23030, 431, 25147, 6196, 383, 63, 2372, 280, 18127, 431, 25147, 6196, 383, 63, 2372, 291, 630, 1114, 4021, 10438, 6196, 383, 63, 2372, 280, 4504, 10438, 6196, 383, 63, 2372, 291, 630, 1114, 3222, 10438, 6196, 383, 63, 2372, 280, 1946, 10438, 6196, 383, 63, 2372, 291, 630, 1114, 7212, 1335, 280, 16332, 1335, 346, 291, 630, 32, 890, 6421, 346, 284, 665, 438, 3952, 10438, 1043, 26, 784, 711, 291, 442, 630, 1114, 14704, 66, 418, 431, 271, 500, 904, 225, 38, 610, 225, 34, 284, 665, 537, 6421, 26, 784, 30, 7323, 6421, 47, 2521, 711, 291, 5881, 291, 1756, 1182, 973, 322, 2354, 8759, 30, 4946, 561, 1182, 312, 447, 418, 431, 25147, 556, 312, 19868, 291, 5881, 291, 630, 32, 7212, 280, 447, 418, 431, 25147, 26, 784, 32, 6036, 1043, 417, 30, 7459, 383, 63, 2372, 47, 784, 1114, 23030, 431, 25147, 6196, 383, 63, 2372, 30, 636, 347, 66, 418, 431, 25147, 657, 291, 415, 7323, 6421, 438, 646, 1665, 44, 324, 7323, 6421, 32, 23402, 1335, 26, 784, 1114, 7212, 1335, 27, 40106, 415, 6937, 26, 5586, 6421, 30, 447, 418, 431, 25147, 711, 400, 630, 1114, 14704, 66, 418, 431, 271, 500, 1454, 225, 35, 400, 415, 630, 32, 297, 3952, 10438, 1043, 2262, 528, 630, 32, 7212, 280, 6359, 10438, 26, 784, 32, 6036, 1043, 417, 30, 225, 12928, 7459, 383, 63, 2372, 47, 784, 1114, 3222, 10438, 6196, 383, 63, 2372, 30, 225, 12928, 636, 347, 3952, 19868, 657, 400, 813, 44, 528, 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, 4, 2, 2, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 2, 2, 3, 0, 1, 1, 3, 3, 1, 1, 2, 2, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 6, 4, 4, 6, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 6, 6, 6, 5, 6, 6, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 8, 10, 9, 11, 11, 8, 9, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 8, 8, 9, 10, 10, 8, 8, 9, 11, 10, 11, 11, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 9, 8, 8, 9, 11, 11, 11, 8, 9, 11, 10, 11, 11, 11, 8, 4, 4, 8, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 9, 11, 10, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 4, 4, 5, 7, 6, 6, 6, 5, 5, 5, 10, 9, 10, 10, 9, 11, 10, 11, 11, 9, 6, 6, 7, 9, 10, 10, 9, 9, 10, 10, 10, 9, 7, 7, 11, 12, 12, 12, 12, 12, 12, 10, 10, 11, 8, 8, 9, 11, 12, 12, 12, 12, 11, 9, 9, 13, 14, 12, 12, 14, 14, 16, 15, 16, 16, 16, 14, 14, 14, 14, 16, 16, 16, 15, 17, 16, 17, 17, 17, 17, 17, 17, 14, 14, 14, 14, 15, 17, 17, 17, 9, 9, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 5, 5, 5, 5, 5, 5, 0, 6, 6, 0, 0, 6, 6, 3, 3, 2, 0, 7, 7, 0, 0, 7, 7, 3, 3, 2, 0, 8, 8, 0, 0, 8, 8, 0, 0, 9, 9, 1, 2, 0, 1, 2, 2, 9, 9, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 2, 2, 2, 0, 0, 0, 0, 0, 7, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 3, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 2, 1, 5, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 4, 4, 2, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 3, 3, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 3, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 1, 4, 4, 4 ]
[ 1070, 40946, 1188, 40946, 619, 617, 203, 1070, 11993, 1188, 1682, 30, 11713, 30, 5648, 203, 465, 2322, 32, 983, 203, 465, 5741, 203, 465, 22977, 203, 1070, 7138, 1188, 7138, 203, 465, 3995, 203, 465, 19271, 1146, 619, 19271, 203, 1070, 19271, 1146, 1188, 2357, 203, 1070, 19271, 1146, 32, 761, 5952, 1188, 7660, 2853, 302, 3607, 203, 1070, 19271, 1146, 32, 2251, 93, 1188, 7181, 30, 19182, 1632, 30, 7411, 30, 9286, 30, 13925, 30, 11647, 203, 1070, 33216, 6510, 10833, 1188, 33216, 6510, 10833, 21427, 203, 1070, 33216, 6510, 10833, 32, 43974, 6510, 10833, 21427, 1188, 2771, 4014, 30, 354, 4014, 30, 343, 4014, 203, 1070, 33216, 6510, 10833, 32, 3564, 32, 4303, 277, 15661, 1188, 7155, 4303, 277, 953, 203, 1070, 33216, 6510, 10833, 32, 3564, 32, 43974, 18855, 297, 5144, 28631, 1188, 33216, 18855, 297, 5144, 1598, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1188, 5237, 284, 3684, 36796, 5637, 983, 280, 2322, 32, 983, 32, 7781, 26, 2322, 32, 983, 32, 7781, 26, 2322, 32, 983, 32, 7781, 26, 2322, 32, 983, 32, 21379, 26, 1156, 761, 505, 829, 829, 829, 829, 284, 415, 3684, 36796, 5637, 983, 646, 328, 5237, 32, 983, 44, 291, 5237, 32, 983, 32, 3215, 26, 225, 34, 30, 3684, 36796, 5637, 983, 829, 203, 1070, 33216, 12042, 1188, 33216, 12042, 21427, 203, 1070, 33216, 12042, 32, 43974, 12042, 21427, 1188, 16597, 81, 2474, 30, 19271, 7383, 30, 19271, 26924, 30, 4040, 30, 766, 1378, 9591, 81, 7100, 19856, 81, 2474, 30, 551, 15412, 81, 9779, 81, 24916, 203, 1070, 33216, 12042, 32, 3728, 101, 32, 43974, 12042, 5291, 3728, 101, 1188, 2519, 924, 30, 2519, 1120, 203, 1070, 33216, 12042, 32, 3728, 101, 32, 43974, 12042, 3728, 101, 1188, 10100, 2023, 3728, 30, 6311, 7028, 3728, 203, 1070, 33216, 12042, 32, 2839, 32, 11293, 307, 1188, 6028, 1031, 30, 5223, 9627, 1392, 81, 13184, 81, 7100, 18447, 30, 30292, 31142, 81, 13184, 81, 7100, 18447, 30, 766, 1378, 8860, 81, 13184, 81, 7100, 18447, 30, 11865, 81, 1846, 1706, 15412, 81, 13184, 81, 45852, 203, 1070, 33216, 12042, 32, 2839, 32, 2931, 2839, 1188, 17158, 1669, 30, 33216, 1669, 25700, 203, 1070, 33216, 12042, 32, 10262, 32, 7579, 542, 5405, 10905, 1188, 43350, 7579, 542, 5405, 9915, 225, 203, 1070, 33216, 12042, 32, 10262, 32, 43194, 10905, 1188, 622, 22444, 5658, 7417, 30, 766, 1378, 622, 5095, 22444, 5658, 7417, 30, 622, 22444, 2185, 5095, 5658, 7417, 30, 766, 1378, 622, 5095, 5658, 5135, 30, 1015, 1812, 43194, 5095, 30, 5514, 43194, 5374, 203, 14378, 81, 34372, 25058, 81, 5241, 280, 330, 36, 34, 36, 34, 31, 34, 39, 31, 34, 35, 25, 225, 203, 15456, 81, 21991, 81, 2474, 280, 313, 43974, 12042, 70, 6004, 3579, 1669, 20, 203, 21991, 81, 2474, 280, 313, 43974, 12042, 394, 6004, 10609, 12012, 20, 203, 21991, 81, 4530, 280, 330, 34, 32, 38, 40, 25, 203, 5784, 558, 2062, 280, 296, 15907, 21991, 81, 2474, 111, 354, 109, 21991, 81, 4530, 8129, 203, 31407, 2272, 2459, 280, 3177, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 4, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 2, 2, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 6, 9, 10, 8, 9, 8, 8, 11, 12, 10, 11, 10, 10, 13, 14, 12, 13, 12, 12, 13, 13, 12, 10, 8, 6, 2, 2, 3, 5, 5, 5, 4, 4, 4, 5, 6, 3, 3, 3, 8, 9, 7, 8, 7, 7, 8, 7, 7, 8, 8, 8, 7, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 0 ]
[ 0, 0, 0, 0, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 7, 7, 0, 1, 1, 0, 8, 8, 0, 8, 8, 0, 9, 9, 0, 1, 2, 2, 9, 9, 0, 0, 0, 0, 10, 10, 0, 1, 2, 2, 10, 10, 10, 10, 0, 10, 10, 10, 10, 10, 10, 10, 10, 0, 11, 11, 0, 0, 11, 11, 0, 0, 0, 0, 12, 12, 0, 0, 1, 2, 2, 2, 2, 12, 12, 0, 12, 12, 0, 12, 12, 0, 0, 13, 13, 0, 0, 1, 2, 1, 4, 4, 4, 13, 13, 0, 0, 0, 0, 14, 14, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 14, 14, 0, 0, 0, 0, 0, 15, 15, 0, 0, 1, 1, 1, 1, 15, 15, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 16, 16, 0, 16, 16, 0, 0, 0, 17, 17, 0, 1, 2, 2, 2, 17, 17, 0, 0, 17, 17, 0, 17, 17, 0, 17, 17, 17, 17, 11, 17, 0, 0, 0, 0, 0, 17, 17, 0, 0, 0, 0, 0, 0, 18, 18, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 18, 18, 0, 18, 18, 0, 0, 19, 19, 0, 1, 2, 2, 1, 4, 4, 4, 4, 19, 19, 0, 0, 19, 19, 0, 0, 0, 20, 20, 0, 1, 2, 1, 4, 4, 20, 20, 0, 20, 20, 0, 0, 0, 0, 0, 0, 0, 20, 20, 0, 0, 0, 0, 0, 0, 20, 20, 9, 20, 0, 0, 0, 0, 0, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 21, 0, 1, 2, 1, 4, 4, 21, 21, 0, 21, 21, 0, 0, 0, 22, 22, 0, 1, 2, 1, 4, 4, 4, 4, 22, 22, 0, 0, 0, 0, 0, 0, 23, 23, 0, 1, 2, 1, 4, 4, 23, 23, 0, 0, 0, 23, 23, 5, 23, 0, 0, 0, 0, 23, 23, 0, 0, 0, 0, 0, 23, 23, 10, 23, 0, 0, 0, 23, 23, 0, 0, 0, 23, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 1, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 316, 203, 1070, 3619, 32725, 32, 22235, 1188, 18044, 21055, 30, 41864, 1741, 21055, 30, 766, 284, 2305, 30, 810, 6332, 30, 1471, 203, 1070, 3619, 32725, 32, 1956, 1188, 447, 24661, 30, 7859, 30, 3319, 30, 14533, 30, 16734, 30, 766, 275, 30465, 30, 3270, 30, 892, 30, 5104, 30, 2619, 12616, 203, 1070, 3619, 32725, 32, 1909, 483, 32, 19243, 1188, 4949, 21055, 30, 5042, 327, 265, 30, 44273, 21055, 30, 766, 284, 36212, 1583, 327, 265, 30, 475, 21055, 203, 1070, 3619, 32725, 32, 1909, 483, 32, 10259, 1188, 48121, 21055, 203, 1070, 3619, 32725, 32, 1909, 483, 32, 37771, 1188, 15250, 21055, 30, 4865, 21055, 30, 33163, 21055, 203, 1070, 3619, 32725, 32, 1909, 483, 32, 1840, 1188, 5245, 3206, 21055, 203, 505, 464, 505, 280, 2107, 68, 381, 94, 21055, 370, 330, 68, 381, 94, 23003, 21055, 370, 330, 68, 381, 94, 1583, 327, 265, 370, 330, 68, 381, 94, 4112, 327, 265, 370, 2607, 330, 68, 381, 94, 8343, 21055, 370, 330, 68, 381, 94, 33312, 1583, 327, 265, 370, 330, 68, 381, 94, 22275, 21055, 370, 2607, 330, 68, 381, 94, 5433, 21055, 370, 330, 12382, 6917, 21055, 370, 330, 12382, 6917, 8312, 21055, 370, 2607, 330, 12382, 6917, 41121, 21055, 370, 330, 12382, 6917, 22275, 21055, 370, 330, 12382, 6917, 8343, 21055, 370, 2607, 330, 12382, 6917, 22863, 21055, 370, 330, 12382, 6917, 33312, 1583, 327, 265, 370, 2607, 330, 12382, 6917, 5433, 21055, 370, 313, 12382, 6917, 1711, 3206, 21055, 392, 2607, 330, 70, 7104, 520, 21055, 785, 203, 823, 559, 381, 94, 21055, 26, 10851, 21055, 711, 284, 636, 280, 330, 68, 381, 94, 25, 284, 20664, 280, 2107, 100, 381, 94, 785, 284, 26719, 280, 1605, 284, 7937, 280, 301, 291, 330, 29903, 950, 428, 324, 308, 100, 10255, 101, 44292, 2619, 12616, 27, 291, 2505, 291, 330, 8680, 950, 428, 324, 308, 100, 10255, 21, 3424, 37143, 14533, 471, 291, 2505, 291, 330, 7255, 950, 428, 324, 308, 100, 32312, 3560, 110, 1141, 110, 21468, 384, 411, 5421, 84, 370, 30465, 471, 324, 308, 100, 32312, 371, 678, 110, 1821, 110, 8676, 110, 1017, 5421, 84, 370, 30465, 471, 324, 308, 100, 32312, 1813, 110, 14510, 110, 8233, 110, 4893, 110, 15125, 110, 279, 1516, 110, 5729, 110, 7607, 5421, 84, 370, 30465, 471, 324, 308, 100, 32312, 3078, 365, 283, 110, 4977, 6769, 110, 2255, 110, 1216, 110, 98, 15354, 110, 1166, 110, 108, 1657, 110, 2951, 5421, 84, 370, 30465, 27, 291, 2505, 291, 330, 14951, 950, 428, 324, 308, 100, 25, 34, 106, 77, 34, 31, 43, 51, 31, 21783, 31, 88, 6155, 370, 5104, 32, 10226, 471, 324, 308, 100, 44860, 10873, 34414, 77, 34, 31, 43, 6155, 370, 5104, 32, 3061, 471, 291, 2505, 291, 330, 30839, 950, 428, 324, 308, 100, 7362, 26, 11468, 12302, 1492, 10182, 80, 6890, 28, 21684, 892, 471, 4288, 308, 100, 14891, 26, 11468, 110, 1736, 25, 10182, 80, 3490, 28, 13042, 892, 471, 4288, 308, 100, 10255, 9357, 11468, 110, 1736, 24832, 10182, 14747, 13138, 18899, 16249 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 3, 5, 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, 3, 5, 5, 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, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 7, 7, 2, 2, 4, 4, 2, 2, 4, 4, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 9, 8, 7, 7, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 10, 8, 8, 7, 7, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 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, 8, 8, 7, 7, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 7, 7, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 7, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 9, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 2, 1, 4, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 1, 2, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 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, 2, 2, 1, 1, 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, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 3, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 5, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 2, 2, 2, 2, 1, 2, 7, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 2, 9, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9592, 10581, 308, 85, 27, 225, 36, 34, 35, 39, 677, 57, 30, 4112, 30, 1068, 51, 664, 4865, 3460, 9792, 544, 2196, 3408, 30, 42009, 30, 32655, 30, 18884, 101, 2196, 2276, 372, 9270, 32, 664, 5294, 793, 4262, 225, 36, 32, 41, 32, 74, 30, 3619, 8861, 225, 36, 32, 40, 32, 35, 461, 6597, 7578, 4262, 2297, 5881, 225, 203, 465, 16672, 203, 465, 1913, 1356, 36, 203, 465, 2322, 203, 465, 5237, 203, 465, 2361, 203, 465, 1133, 203, 465, 7138, 203, 465, 3363, 203, 465, 42406, 203, 1070, 1845, 295, 826, 1188, 21067, 203, 1070, 24764, 36, 1580, 1188, 803, 203, 1070, 24764, 36, 1580, 1188, 2043, 203, 1070, 24764, 36, 1580, 1188, 8684, 203, 1070, 1845, 295, 826, 32, 525, 1188, 9821, 12090, 1761, 7495, 203, 1070, 24379, 1188, 9500, 203, 1070, 24379, 32, 23199, 1188, 22570, 203, 589, 9789, 26, 101, 711, 284, 442, 309, 474, 323, 7646, 34, 20, 319, 308, 16902, 32, 1521, 81, 891, 429, 2069, 26, 101, 27, 904, 22570, 32, 1521, 81, 891, 27, 203, 589, 18884, 26, 1436, 30, 1202, 30, 1202, 81, 891, 47, 36, 39, 40, 711, 284, 1474, 280, 9789, 26, 1436, 27, 284, 15609, 280, 9500, 32, 890, 922, 850, 26, 16902, 32, 1521, 81, 891, 27, 284, 18845, 280, 22570, 32, 890, 26, 678, 30, 22570, 32, 4959, 81, 22661, 30, 15609, 27, 284, 442, 15609, 474, 18845, 32, 11294, 26, 1436, 27, 203, 589, 24827, 26, 44889, 30, 1202, 711, 284, 15609, 280, 43283, 2867, 16902, 32, 1521, 81, 891, 79, 284, 18845, 280, 22570, 32, 890, 26, 678, 30, 22570, 32, 4959, 81, 22661, 30, 15609, 27, 284, 37434, 280, 18845, 32, 23226, 26, 44889, 77, 16902, 32, 1521, 81, 891, 19572, 284, 442, 37434, 32, 38848, 26, 84, 7646, 34, 657, 203, 589, 18884, 81, 761, 26, 761, 81, 426, 30, 1202, 711, 291, 623, 2156, 26, 761, 81, 426, 30, 330, 4506, 683, 619, 296, 44, 324, 596, 280, 296, 32, 850, 346, 291, 484, 280, 18884, 26, 466, 30, 1202, 27, 291, 623, 2156, 440, 87, 20, 474, 803, 81, 426, 30, 330, 12108, 683, 619, 296, 44, 324, 296, 32, 1821, 26, 87, 27, 291, 442, 313, 87, 20, 474, 803, 81, 426, 291, 296, 32, 2679, 346, 203, 589, 24827, 81, 761, 26, 761, 81, 426, 30, 1202, 711, 291, 623, 2156, 26, 761, 81, 426, 30, 330, 4506, 683, 619, 296, 44, 324, 596, 35, 280, 296, 32, 850, 346, 291, 343, 280, 24827, 26, 466, 35, 30, 1202, 27, 291, 623, 2156, 26, 761, 81, 426, 30, 330, 12108, 683, 619, 296, 44, 324, 296, 32, 1821, 26, 86, 27, 291, 296, 32, 2679, 346, 203, 81, 26468, 81, 2474, 280, 330, 106, 459, 25, 225, 203, 81, 2554, 81, 4530, 280, 330, 104, 35, 25, 203, 3922, 280, 16672, 32, 26633, 26, 284, 3048, 47, 505, 1427, 7642, 284, 14971, 81, 823, 47, 626, 2208, 32, 6189, 3234, 9030, 8736, 30, 284, 20861, 6020, 4280, 32, 626, 3922, 1130, 203, 10923, 81, 807, 3412 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 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, 0, 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, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 7, 8, 7, 5, 5, 9, 8, 9, 9, 9, 7, 7, 10, 11, 10, 8, 8, 9, 10, 10, 10, 6, 0, 1, 1, 2, 3, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 8, 9, 8, 7, 6, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 8, 8, 6, 6, 6, 2, 2, 3, 4, 4, 6, 7, 6, 7, 6, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 4, 4, 5, 8, 7, 8, 8, 8, 5, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 8, 8, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 10, 9, 10, 10, 10, 8, 2, 2, 3, 5, 6, 5, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 3, 8, 9, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 2, 2, 4, 4, 6, 7, 6, 6, 6, 2, 2, 3, 8, 11, 11, 9, 9, 10, 10, 8, 8, 10, 10, 6, 6, 3, 3, 3, 7, 8, 7, 8, 7, 2, 2, 3, 6, 6, 4, 4, 5, 5, 2, 2, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 3, 8, 9, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 7, 6, 6, 8, 9, 8, 2, 2, 4, 4, 6, 7, 7, 6, 6, 6, 2, 2, 3, 8, 9, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 7, 8, 7, 8, 7, 2, 2, 5, 6, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 4, 4, 5, 6, 6, 6, 4, 4, 6, 6, 5, 7, 7, 6, 7, 7, 7, 7, 4, 4, 4, 5, 8, 7, 8, 8, 6, 0, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 0, 10, 10, 0, 11, 11, 0, 0, 11, 11, 0, 12, 12, 0, 0, 12, 12, 0, 13, 13, 0, 0, 13, 13, 0, 14, 14, 0, 0, 1, 2, 14, 14, 0, 0, 0, 0, 15, 15, 15, 15, 0, 16, 16, 1, 2, 16, 16, 0, 17, 17, 2, 1, 2, 17, 17, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 18, 18, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 18, 18, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 0, 2, 1, 1, 1, 0, 19, 19, 2, 1, 2, 2, 2, 19, 19, 0, 0, 2, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 4, 4, 3, 0, 2, 1, 0, 0, 0, 2, 0, 20, 20, 1, 1, 2, 1, 1, 1, 2, 2, 2, 20, 20, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 2, 1, 1, 2, 2, 4, 4, 0, 2, 1, 0, 21, 21, 1, 1, 2, 1, 1, 1, 2, 2, 2, 21, 21, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 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, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 5, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 30, 7051, 203, 1070, 8527, 32, 525, 1188, 37877, 203, 1070, 8527, 32, 36287, 1188, 2908, 203, 1070, 8527, 32, 4338, 32, 28497, 32, 14250, 1188, 23049, 81, 327, 30816, 203, 1070, 6109, 81, 2846, 1188, 2202, 2021, 203, 1070, 41479, 315, 32, 1356, 32, 87, 315, 81, 2304, 1188, 4654, 81, 2872, 203, 1070, 41479, 315, 32, 1356, 32, 525, 1188, 4125, 81, 731, 203, 1070, 41479, 315, 32, 3378, 1188, 516, 315, 30, 12253, 203, 1070, 41479, 315, 32, 34243, 1188, 308, 284, 516, 315, 7262, 30, 284, 12253, 7262, 30, 284, 7051, 7262, 30, 284, 2680, 7262, 203, 27, 203, 465, 13625, 203, 589, 1650, 26, 1357, 711, 284, 442, 2908, 26, 1357, 30, 313, 1055, 32, 916, 392, 301, 291, 330, 1311, 950, 330, 7822, 315, 25, 284, 1790, 203, 589, 6274, 26, 1357, 30, 4362, 711, 284, 442, 2908, 26, 1357, 30, 313, 3959, 32, 916, 392, 301, 291, 330, 1311, 950, 330, 7822, 315, 370, 291, 330, 3840, 950, 4362, 30, 291, 330, 11619, 81, 6446, 950, 622, 81, 8933, 81, 1170, 81, 3840, 26, 3840, 27, 284, 1790, 203, 50, 14250, 81, 327, 30816, 203, 589, 3627, 81, 2872, 26, 1357, 711, 284, 415, 1326, 32, 1959, 863, 330, 3705, 950, 291, 442, 4125, 81, 731, 463, 4133, 81, 2872, 2298, 526, 3823, 619, 312, 8083, 683, 284, 2234, 280, 2361, 32, 12474, 26, 1357, 32, 1548, 32, 5460, 463, 3310, 31, 42, 2847, 284, 415, 2234, 710, 33566, 785, 610, 2234, 710, 315, 509, 12132, 291, 442, 4125, 81, 731, 26, 599, 710, 33566, 785, 474, 330, 4881, 526, 4335, 322, 33022, 461, 322, 598, 509, 432, 312, 2530, 11834, 284, 33022, 280, 2680, 32, 5740, 32, 371, 26, 699, 47, 599, 710, 33566, 3490, 284, 33022, 81, 87, 315, 280, 33022, 32, 87, 315, 32, 87, 315, 284, 598, 509, 280, 2680, 32, 5740, 32, 371, 26, 699, 47, 599, 710, 315, 509, 3490, 284, 598, 509, 81, 87, 315, 280, 598, 509, 32, 87, 315, 32, 87, 315, 284, 537, 81, 33566, 81, 87, 315, 30, 537, 81, 315, 509, 81, 87, 315, 280, 4654, 81, 2872, 26, 33566, 81, 87, 315, 30, 598, 509, 81, 87, 315, 27, 284, 2530, 280, 12253, 26, 291, 33022, 47, 33566, 30, 291, 33022, 81, 5553, 81, 87, 315, 47, 33566, 81, 87, 315, 30, 291, 33022, 81, 5483, 81, 87, 315, 47, 890, 81, 33566, 81, 87, 315, 30, 291, 598, 509, 47, 315, 509, 30, 291, 598, 509, 81, 5553, 81, 87, 315, 47, 315, 509, 81, 87, 315, 30, 291, 598, 509, 81, 5483, 81, 87, 315, 47, 890, 81, 315, 509, 81, 87, 315, 284, 829, 284, 2530, 32, 2853, 346, 284, 33022, 32, 87, 315, 32, 87, 315, 280, 537, 81, 33566, 81, 87, 315, 284, 33022, 32, 87, 315, 32, 2853, 346, 284, 598, 509, 32, 87, 315, 32, 87, 315, 280, 537, 81, 315, 509, 81, 87, 315, 284, 598, 509, 32, 87, 315, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 5, 6, 6, 9, 9, 7, 9, 9, 9, 6, 6, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 5, 6, 6, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 7, 6, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 10, 9, 6, 6, 0, 2, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 4, 6, 7, 5, 5, 7, 7, 4, 4, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 5, 5, 7, 8, 7, 11, 10, 11, 9, 10, 9, 11, 11, 11, 11, 3, 3, 4, 6, 8, 8, 5, 5, 6, 8, 8, 8, 4, 4, 6, 8, 8, 8, 11, 10, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 5, 5, 8, 9, 7, 8, 7, 9, 8, 10, 9, 11, 11, 3, 3, 6, 6, 6, 5, 5, 7, 8, 8, 6, 7, 7, 3, 3, 6, 5, 5, 8, 9, 7, 8, 7, 9, 8, 10, 9, 11, 11, 11, 3, 3, 6, 6, 6, 6, 5, 5, 8, 7, 8, 8, 6, 7, 7, 3, 3, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 3, 3, 5, 5, 7, 7, 7, 8, 9, 7, 7, 7, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 8, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 3, 3, 6, 7, 6, 3, 3, 7, 8, 8, 6, 7, 7, 5, 5, 6, 6, 6, 6, 6, 3, 3, 7, 8, 8, 6, 7, 6, 3, 3, 8, 7, 8, 8, 6, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 3, 3, 8, 7, 8, 8, 6 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 4, 4, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 10, 10, 0, 11, 11, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 2, 1, 1, 1, 2, 5, 5, 0, 12, 12, 2, 1, 2, 2, 2, 12, 12, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 2, 1, 1, 1, 2, 5, 5, 1, 2, 3, 5, 5, 5, 1, 1, 1, 2, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 1, 1, 1, 1, 13, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 7, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 9, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 11, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0 ]
[ 1070, 5205, 265, 32, 8774, 1188, 438, 81, 668, 81, 681, 30, 1974, 81, 2665, 30, 7715, 81, 6360, 203, 1070, 7138, 1188, 7138, 203, 1070, 598, 771, 1188, 4035, 771, 203, 465, 316, 203, 823, 18687, 11945, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5257, 81, 6332, 711, 291, 630, 32, 7920, 280, 2149, 291, 630, 32, 6309, 81, 15719, 26, 5607, 81, 6332, 27, 284, 665, 8520, 81, 15719, 26, 784, 30, 5257, 81, 6332, 711, 291, 8329, 81, 1366, 280, 7138, 32, 2174, 346, 291, 8329, 81, 998, 280, 225, 34, 291, 436, 2350, 81, 426, 30, 15103, 328, 5257, 81, 6332, 44, 324, 415, 2350, 81, 426, 646, 328, 630, 32, 7920, 44, 400, 630, 32, 7920, 77, 1363, 81, 426, 79, 280, 1605, 324, 415, 827, 26, 15719, 77, 34, 1130, 438, 596, 556, 827, 26, 15719, 77, 34, 1674, 34, 1130, 646, 328, 428, 410, 30, 1897, 2786, 400, 15103, 280, 10440, 35, 32, 34, 30, 15103, 2177, 324, 436, 7533, 30, 15103, 328, 15103, 44, 400, 7533, 81, 15719, 280, 1605, 400, 436, 5257, 328, 15103, 44, 528, 415, 827, 26, 5607, 27, 438, 596, 44, 715, 5257, 280, 308, 5607, 21713, 528, 415, 827, 26, 5607, 27, 438, 8825, 461, 2069, 26, 5607, 27, 610, 225, 36, 44, 715, 415, 827, 26, 5607, 77, 34, 1130, 438, 596, 461, 438, 81, 668, 81, 681, 26, 5607, 77, 35, 614, 596, 711, 1014, 5257, 280, 308, 5607, 21713, 528, 1056, 280, 1605, 528, 436, 786, 328, 5257, 44, 715, 415, 827, 26, 853, 27, 438, 8825, 44, 1014, 415, 2069, 26, 853, 27, 610, 225, 36, 44, 1378, 786, 280, 786, 77, 34, 79, 904, 36196, 2473, 2524, 26, 853, 77, 35, 1130, 1014, 4348, 2069, 26, 853, 27, 610, 225, 35, 44, 1378, 786, 280, 786, 77, 34, 79, 715, 1056, 32, 1689, 26, 268, 32, 6993, 26, 853, 30, 316, 32, 1434, 2576, 6755, 3204, 490, 715, 8329, 81, 998, 1454, 225, 35, 528, 7533, 81, 15719, 32, 1689, 26, 7288, 26, 1267, 490, 400, 630, 32, 7920, 77, 1363, 81, 426, 997, 1689, 1162, 3292, 30, 7533, 81, 15719, 490, 291, 4035, 771, 32, 1338, 440, 33967, 904, 101, 15103, 328, 904, 422, 392, 8329, 81, 998, 30, 7715, 81, 6360, 26, 6665, 32, 2174, 346, 429, 8329, 81, 1366, 490, 284, 665, 2290, 81, 1363, 26, 784, 30, 636, 711, 291, 436, 2350, 81, 426, 30, 7533, 81, 6332, 328, 630, 32, 7920, 32, 3028, 2262, 324, 415, 2350, 81, 426, 461, 2350, 81, 426, 610, 636, 44, 400, 442, 2350, 81, 426, 30, 7533, 81, 6332, 291, 442, 1665, 30, 1665, 284, 665, 786, 81, 2872, 26, 784, 30, 786, 30, 2350, 81, 426, 47, 2521, 30, 3982, 47, 1815, 711, 291, 1056, 280, 1665, 291, 436, 2350, 30, 7533, 81, 6332, 328, 630, 32, 7920, 32, 3028, 2262, 324, 415, 2350, 81, 426, 461, 2350, 863, 2350, 81, 426, 44, 400, 4036, 324, 7533, 30, 15103, 280, 7533, 81, 6332, 77, 34, 79, 324, 436, 5257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 7, 6, 6, 7, 4, 4, 5, 7, 7, 6, 6, 5, 5, 6, 6, 5, 5, 5, 7, 9, 9, 8, 8, 8, 9, 10, 7, 7, 7, 12, 13, 11, 12, 12, 12, 11, 10, 10, 6, 6, 7, 11, 13, 12, 13, 12, 9, 9, 8, 8, 11, 14, 13, 14, 13, 13, 12, 9, 9, 9, 11, 10, 10, 10, 7, 7, 10, 10, 13, 13, 13, 12, 12, 12, 6, 6, 7, 8, 8, 7, 7, 7, 7, 7, 11, 11, 10, 10, 8, 8, 9, 9, 9, 9, 9, 9, 11, 14, 15, 14, 12, 12, 11, 11, 11, 14, 14, 16, 15, 10, 10, 11, 15, 16, 15, 13, 13, 12, 12, 15, 16, 15, 13, 13, 14, 11, 11, 11, 13, 17, 19, 18, 19, 18, 15, 15, 14, 14, 16, 16, 16, 16, 16, 18, 17, 18, 17, 16, 16, 13, 13, 16, 16, 18, 17, 10, 10, 12, 12, 10, 10, 11, 11, 11, 11, 11, 11, 13, 16, 17, 16, 14, 14, 13, 13, 13, 15, 18, 19, 18, 16, 16, 17, 15, 15, 15, 18, 18, 20, 21, 20, 19, 19, 23, 22, 21, 23, 22, 23, 22, 15, 15, 16, 19, 20, 19, 17, 17, 18, 16, 16, 16, 19, 19, 20, 21, 20, 12, 12, 15, 16, 15, 18, 17, 18, 17, 18, 17, 17, 18, 19, 19, 19, 19, 17, 12, 12, 15, 15, 14, 14, 15, 10, 10, 14, 14, 13, 14, 13, 15, 15, 16, 15, 8, 8, 13, 14, 12, 13, 13, 13, 12, 12, 11, 13, 12, 12, 13, 13, 12, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 7, 9, 9, 9, 13, 12, 13, 12, 10, 10, 11, 11, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 7, 6, 6, 7, 7, 5, 5, 8, 9, 7, 8, 7, 5, 5, 7, 9, 9, 8, 8, 10, 10, 9, 9, 7, 7, 7, 9, 11, 11, 10, 10, 11, 11, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 7, 7, 5, 5, 8, 9, 7, 8, 7, 5, 5, 7, 9, 9, 8, 8, 9, 9, 10, 10, 7, 7, 7, 6, 6, 9, 9, 8, 8, 10, 10, 9, 10, 9, 6, 6, 7 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 4, 4, 2, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 5, 5, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 5, 5, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 5, 5, 0, 0, 5, 5, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 4, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 2, 2, 2, 5, 5, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 2, 5, 5, 0, 0, 0, 2, 1, 0, 1, 1, 1, 5, 5, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 4, 4, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 4, 4, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 2 ]
[ 465, 2322, 203, 1070, 3995, 1188, 10477, 410, 203, 1070, 8527, 32, 525, 1188, 17874, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 3996, 659, 32, 1040, 1188, 707, 24088, 203, 589, 1015, 26, 1357, 711, 334, 8607, 280, 739, 26, 1326, 32, 3705, 710, 7982, 5695, 2998, 346, 829, 334, 33977, 280, 2454, 81, 27421, 346, 334, 537, 81, 27421, 280, 33977, 523, 8607, 334, 4131, 81, 27421, 26, 890, 81, 27421, 27, 334, 442, 17874, 26, 14639, 681, 347, 878, 33, 7355, 392, 1795, 347, 2950, 657, 203, 589, 3345, 26, 1357, 711, 334, 8607, 280, 739, 26, 1326, 32, 3705, 710, 7982, 5695, 2998, 346, 829, 334, 33977, 280, 2454, 81, 27421, 346, 334, 537, 81, 27421, 280, 33977, 429, 8607, 334, 4131, 81, 27421, 26, 890, 81, 27421, 27, 334, 442, 17874, 26, 14639, 681, 347, 878, 33, 7355, 392, 1795, 347, 2950, 657, 203, 589, 2519, 26, 1357, 711, 334, 33977, 280, 2454, 81, 27421, 346, 334, 8999, 280, 3228, 96, 2473, 2524, 26, 8594, 26, 27421, 27, 829, 334, 442, 17874, 26, 14639, 681, 347, 878, 33, 7355, 392, 1795, 47, 7910, 27, 203, 589, 2454, 81, 27421, 2262, 334, 23818, 280, 2156, 26, 3550, 32, 21287, 4613, 81, 3539, 30, 330, 4506, 683, 334, 33977, 280, 707, 24088, 32, 944, 26, 13410, 27, 334, 23818, 32, 2679, 346, 334, 442, 33977, 203, 589, 4131, 81, 27421, 26, 27421, 711, 334, 14300, 280, 19571, 32, 16958, 26, 27421, 30, 7079, 6593, 35, 27, 5235, 3691, 761, 280, 6611, 101, 9299, 86, 25, 904, 308, 3550, 32, 21287, 4613, 81, 3539, 30, 10477, 410, 26, 34, 30, 225, 35, 34, 34, 34, 34, 34, 490, 334, 1596, 44, 284, 23818, 280, 2156, 26, 2868, 761, 30, 330, 12108, 683, 284, 23818, 32, 1821, 26, 15665, 27, 284, 23818, 32, 2679, 346, 284, 415, 2322, 32, 983, 32, 4658, 26, 3550, 32, 21287, 4613, 81, 3539, 711, 397, 2322, 32, 23754, 26, 3550, 32, 21287, 4613, 81, 3539, 27, 284, 2322, 32, 13141, 26, 2868, 761, 30, 4070, 32, 21287, 4613, 81, 3539, 27, 334, 8295, 44, 284, 415, 2322, 32, 983, 32, 4658, 26, 2868, 761, 711, 397, 2322, 32, 23754, 26, 2868, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 10, 11, 9, 11, 11, 9, 8, 6, 2, 2, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 5, 6, 6, 6, 5, 2, 2, 3, 5, 7, 7, 6, 8, 8, 8, 8, 5, 6, 8, 8, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 10, 11, 9, 11, 11, 9, 8, 6, 2, 2, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 5, 6, 6, 6, 5, 2, 2, 3, 5, 7, 7, 6, 8, 8, 8, 8, 5, 6, 8, 8, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 9, 8, 7, 6, 6, 8, 9, 8, 6, 2, 2, 3, 5, 7, 7, 6, 8, 8, 8, 8, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 8, 7, 8, 8, 8, 8, 6, 6, 8, 8, 2, 2, 4, 4, 7, 6, 7, 6, 7, 6, 2, 2, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 6, 7, 9, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 5, 5, 8, 7, 8, 8, 8, 8, 6, 6, 8, 8, 9, 8, 8, 9, 9, 9, 9, 9, 9, 8, 2, 2, 3, 3, 3, 6, 6, 8, 9, 9, 8, 8, 10, 10, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 5, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 9, 7, 5, 5, 9, 10, 9, 11, 10, 11, 11, 11, 11, 9, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 9, 9, 9, 9, 7, 3, 3, 4, 4, 4, 6, 9, 10, 8, 9, 8, 9, 9, 8, 6, 6, 10, 11, 10, 11, 11, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 2, 1, 2, 5, 5, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 2, 0, 6, 6, 2, 1, 2, 6, 6, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 2, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 8, 8, 1, 1, 2, 8, 8, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 3, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 3, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 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 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 34, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 2322, 81, 7236, 203, 4021, 81, 2310, 44, 2648, 33, 3410, 390, 15130, 18680, 101, 203, 9971, 81, 10270, 81, 9854, 44, 2156, 3034, 203, 1648, 81, 11043, 44, 313, 36, 32, 34, 20, 203, 2116, 44, 313, 23200, 107, 394, 38478, 11931, 405, 388, 107, 4731, 203, 2310, 44, 664, 429, 2648, 556, 6478, 281, 15130, 2163, 4759, 21970, 203, 2184, 44, 664, 1334, 44, 275, 3048, 44, 291, 429, 8660, 432, 6864, 328, 21124, 32, 1348, 3395, 438, 2129, 1412, 322, 616, 439, 26, 1293, 27, 3395, 438, 330, 2689, 2473, 275, 2129, 44, 901, 275, 1244, 44, 1665, 664, 2503, 81, 426, 44, 275, 3048, 44, 291, 429, 3270, 432, 6864, 275, 2129, 44, 861, 664, 2503, 81, 2310, 44, 275, 3048, 44, 1568, 429, 892, 22376, 322, 6864, 275, 2129, 44, 901, 275, 1244, 44, 1665, 664, 6864, 81, 681, 44, 275, 3048, 44, 1568, 429, 18680, 827, 436, 6864, 275, 2129, 44, 901, 275, 1244, 44, 1665, 664, 1778, 44, 275, 3048, 44, 1568, 429, 4361, 636, 556, 804, 436, 11995, 645, 6864, 275, 2129, 44, 901, 275, 1244, 44, 1665, 664, 10426, 81, 314, 44, 275, 3048, 44, 1568, 429, 18680, 10426, 804, 372, 1487, 645, 275, 2129, 44, 901, 275, 1244, 44, 1665, 664, 6864, 44, 275, 3048, 44, 1568, 429, 18680, 636, 556, 804, 372, 1487, 645, 275, 2129, 44, 901, 275, 1244, 44, 1665, 275, 1503, 81, 11043, 44, 313, 36, 32, 37, 20, 664, 1603, 44, 275, 3048, 44, 1568, 429, 9043, 322, 2869, 526, 5024, 556, 40118, 32, 275, 16682, 44, 428, 2689, 30, 40118, 79, 275, 1244, 44, 5024, 664, 24144, 81, 5634, 44, 275, 3048, 44, 1568, 429, 20419, 86, 32, 26823, 436, 24382, 918, 1608, 1892, 275, 2129, 44, 901, 203, 15965, 44, 275, 429, 313, 2958, 2377, 225, 36, 32, 40, 20, 275, 429, 313, 38049, 20, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 9301, 312, 537, 6864, 203, 31, 636, 44, 1487, 312, 6864, 334, 17758, 44, 18339, 334, 8253, 44, 334, 429, 636, 44, 1487, 225, 38, 34, 89, 894, 6864, 284, 2322, 81, 7236, 44, 397, 1603, 44, 5024, 397, 8668, 44, 345, 655, 1092, 397, 24144, 81, 5634, 44, 10166, 36, 397, 1334, 44, 225, 38, 34, 397, 2503, 81, 426, 44, 894, 81, 7236, 203, 9592, 203, 1270, 44, 284, 1188, 787, 1525, 284, 35890, 81, 9451, 852, 280, 2933, 203, 7343, 29986, 44, 284, 35890, 81, 9451, 852, 280, 3177, 203, 589, 617, 2689, 81, 7236, 26, 1647, 30, 8668, 711, 284, 415, 8668, 32, 7236, 81, 4658, 26, 1647, 32, 2132, 710, 2751, 81, 426, 37886, 291, 354, 280, 8668, 32, 371, 81, 7236, 26, 1647, 32, 2132, 710, 2751, 81, 426, 3490, 291, 2297, 32, 4775, 81, 1260, 26, 8968, 47, 2700, 30, 804, 47, 104 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 1, 1, 1, 1, 3, 5, 2, 2, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 6, 6, 5, 8, 7, 8, 6, 8, 8, 8, 8, 3, 3, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 9, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 10 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 3, 3, 3, 3, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 0 ]
[ 1070, 5034, 36, 452, 37, 1188, 3619, 3242, 30, 2421, 265, 81, 1439, 203, 1070, 5034, 36, 452, 37, 32, 3299, 265, 81, 1040, 1188, 3270, 30, 29489, 30, 5640, 30, 2764, 934, 30, 3136, 928, 30, 11385, 874, 203, 823, 7087, 8112, 1298, 26, 3299, 265, 81, 1439, 32, 1761, 6670, 711, 284, 4986, 81, 928, 81, 1174, 280, 2933, 284, 39080, 81, 14600, 280, 2933, 284, 447, 18939, 280, 1524, 1090, 308, 1750, 5237, 81, 465, 47, 465, 81, 426, 6982, 465, 25, 2855, 2726, 3731, 25, 2855, 523, 2855, 43363, 81, 302, 81, 4243, 46, 308, 1813, 5769, 683, 28, 330, 3731, 25, 308, 1195, 1346, 4586, 848, 2855, 829, 1750, 848, 1090, 523, 1750, 9810, 81, 6404, 46, 2855, 7169, 46, 330, 3731, 25, 554, 23335, 46, 18491, 330, 4775, 1298, 25, 848, 848, 1750, 34020, 3420, 47, 1813, 848, 1090, 829, 1090, 1524, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 711, 291, 2599, 26, 6670, 8112, 1298, 30, 630, 14585, 1664, 45909, 1132, 27, 284, 665, 1477, 81, 3242, 26, 784, 30, 4345, 30, 4870, 711, 291, 2599, 26, 6670, 8112, 1298, 30, 630, 547, 1366, 81, 3242, 26, 3242, 30, 4870, 27, 291, 630, 32, 3731, 81, 465, 280, 1665, 284, 665, 4522, 26, 784, 30, 1541, 30, 3276, 711, 291, 415, 313, 3731, 81, 465, 20, 328, 3276, 44, 324, 415, 630, 32, 3731, 81, 465, 438, 1665, 44, 400, 630, 32, 3731, 81, 465, 280, 3276, 1365, 3731, 81, 465, 1446, 324, 442, 291, 3420, 280, 3276, 1365, 1298, 6494, 6358, 346, 291, 3420, 32, 4254, 280, 1044, 1010, 291, 3909, 280, 3619, 3242, 32, 1212, 26, 5815, 874, 32, 7370, 30, 7686, 29489, 26, 558, 26, 103, 20, 269, 4775, 2113, 3270, 26, 103, 20, 3317, 2131, 7686, 829, 291, 1476, 280, 5640, 26, 3317, 30, 428, 1298, 614, 1541, 32, 4254, 27, 291, 1541, 32, 3227, 26, 1851, 27, 291, 415, 630, 32, 3731, 81, 465, 438, 1665, 44, 324, 630, 32, 5691, 26, 1251, 30, 313, 4445, 1330, 2290, 5237, 1188, 45, 5294, 1015, 600, 821, 4775, 313, 6035, 313, 465, 821, 322, 2663, 432, 1370, 803, 7144, 324, 442, 291, 4467, 280, 630, 32, 3731, 81, 465, 32, 4915, 77, 35, 79, 291, 415, 4467, 32, 681, 610, 11385, 874, 32, 4260, 3251, 81, 302, 81, 4243, 44, 324, 4467, 32, 1689, 81, 2661, 26, 34010, 1157, 324, 4467, 32, 1689, 81, 2661, 26, 558, 26, 103, 20, 269, 4775, 392, 1044, 20, 29450, 291, 813, 44, 324, 6621, 81, 6404, 280, 630, 32, 3731, 81, 465, 32, 2544, 324, 2747, 280, 6621, 81, 6404, 32, 4915, 32, 1055, 26, 784, 32, 3731, 81, 465, 27, 324, 16684, 81, 2630, 280, 6621, 81, 6404, 32, 2544, 324, 537, 81, 465, 280, 3619, 3242, 32, 1212, 26, 5815, 874, 32, 465, 81, 426, 30, 4985, 428, 558, 26, 103, 20, 465, 2113, 3270, 26, 103, 20, 269, 4775, 392, 1044, 20, 313, 2177, 4985, 829, 324, 537, 280, 3619, 3242, 32, 1212, 26, 5815, 874, 32, 6656, 81, 6404 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 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, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 8, 8, 8, 8, 6, 6, 5, 5, 5, 7, 9, 10, 10, 10, 8, 8, 7, 7, 7, 11, 12, 12, 12, 10, 10, 11, 13, 13, 13, 13, 6, 6, 4, 4, 6, 6, 9, 11, 11, 9, 8, 4, 4, 7, 8, 6, 6, 8, 4, 4, 6, 6, 9, 8, 9, 8, 10, 10, 9, 10, 8, 8, 8, 10, 12, 12, 14, 14, 14, 14, 14, 10, 12, 14, 14, 14, 14, 8, 8, 4, 4, 6, 6, 8, 9, 8, 8, 10, 9, 8, 9, 10, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 5, 7, 8, 8, 8, 6, 6, 5, 5, 5, 9, 10, 9, 10, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 7, 8, 7, 4, 4, 5, 7, 8, 6, 6, 8, 7, 8, 8, 8, 8, 8, 8, 5, 5, 5, 9, 10, 10, 10, 9, 11, 11, 6, 6, 9, 10, 10, 10, 9, 11, 11, 13, 13, 13, 13, 13, 11, 13, 13, 5, 5, 6, 6, 6, 10, 10, 9, 9, 11, 12, 12, 12, 10, 11, 7, 7, 9, 9, 13, 13, 12, 13, 11, 12, 11, 13, 12, 13, 13, 13, 11, 7, 7, 10, 10, 9, 9, 11, 11, 10, 11, 7, 7, 10, 10, 9, 9, 12, 11, 12, 11, 13, 13, 12, 13, 13, 13, 11, 11, 11, 14, 14, 16, 16, 16, 16, 12, 14, 16, 16, 16, 16, 16, 14, 16, 16, 14, 11, 11, 7, 7, 9, 9, 12, 11, 12, 11, 13, 13, 12, 13, 13, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 5, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 3, 3, 4, 4, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 3, 1, 5, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 6, 0, 2, 2, 2, 1, 1, 6, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 4, 4, 8, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 8, 8, 8, 0, 2, 2, 2, 1, 0, 1, 3, 3, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 8, 8, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 3, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 30, 7976, 81, 465, 203, 505, 8795, 505, 280, 1524, 203, 3313, 12544, 491, 459, 44, 334, 4262, 4705, 81, 486, 491, 459, 32, 978, 1968, 203, 2529, 3312, 415, 18414, 438, 6713, 44, 334, 4262, 429, 85, 330, 465, 18414, 45, 36568, 32, 486, 491, 459, 32, 858, 12477, 2649, 5103, 25, 203, 2529, 3312, 415, 12544, 491, 459, 438, 646, 6713, 44, 334, 4262, 3312, 33, 858, 81, 4313, 32, 978, 17633, 2649, 10494, 203, 2993, 203, 1070, 6436, 32, 4266, 1188, 308, 7233, 30, 1201, 81, 955, 81, 37368, 81, 2228, 30, 10477, 30, 6029, 1420, 81, 1647, 81, 9089, 27, 203, 1070, 18414, 32, 486, 491, 459, 1188, 33540, 5494, 30, 325, 708, 5494, 30, 486, 4213, 2403, 30, 100, 486, 4213, 2403, 203, 1070, 6436, 1188, 8316, 203, 589, 3995, 26, 891, 711, 284, 442, 10477, 2740, 891, 27, 203, 823, 2108, 35441, 10210, 26, 7233, 711, 284, 665, 894, 81, 7390, 26, 784, 711, 291, 816, 280, 428, 34, 30, 35, 30, 36, 30, 37, 30, 38, 5437, 38, 5437, 37, 5437, 36, 5437, 35, 79, 291, 533, 280, 9650, 38, 5437, 37, 5437, 36, 5437, 35, 30, 34, 30, 35, 30, 36, 30, 37, 30, 38, 79, 291, 1201, 81, 955, 81, 37368, 81, 2228, 26, 19351, 5494, 26, 106, 471, 107, 27, 291, 1201, 81, 955, 81, 37368, 81, 2228, 26, 325, 708, 5494, 26, 107, 471, 106, 27, 291, 816, 280, 428, 34, 30, 35, 30, 36, 30, 37, 30, 38, 5437, 39, 5437, 38, 5437, 37, 5437, 36, 5437, 35, 79, 291, 533, 280, 9650, 39, 5437, 38, 5437, 37, 5437, 36, 5437, 35, 30, 34, 30, 35, 30, 36, 30, 37, 30, 38, 79, 291, 1201, 81, 955, 81, 37368, 81, 2228, 26, 19351, 5494, 26, 106, 471, 107, 27, 291, 1201, 81, 955, 81, 37368, 81, 2228, 26, 325, 708, 5494, 26, 107, 471, 106, 27, 284, 665, 894, 81, 18139, 26, 784, 711, 291, 436, 310, 328, 428, 35, 30, 38, 30, 43, 30, 35, 34, 34, 30, 36, 35, 35, 2786, 324, 816, 280, 3995, 1162, 96, 33702, 324, 1201, 81, 955, 81, 37368, 81, 2228, 26, 325, 708, 5494, 26, 19351, 5494, 26, 106, 3662, 106, 27, 203, 823, 2108, 1139, 5754, 2403, 26, 7233, 711, 284, 665, 894, 81, 7390, 26, 784, 711, 291, 816, 280, 428, 34, 30, 35, 30, 36, 30, 37, 30, 38, 5437, 38, 5437, 37, 5437, 36, 5437, 35, 79, 291, 1201, 81, 955, 81, 37368, 81, 2228, 26, 43, 28, 486, 4213, 2403, 26, 43, 471, 106, 27, 291, 1201, 81, 955, 81, 37368, 81, 2228, 26, 43, 28, 1295, 28, 486, 4213, 2403, 26, 43, 30, 1295, 471, 106, 27, 291, 816, 280, 428, 34, 30, 35, 30, 36, 30, 37, 30, 38, 5437, 39, 5437, 38, 5437, 37, 5437, 36, 5437, 35, 79, 291, 1201, 81, 955, 81, 37368, 81, 2228, 26, 35, 34, 28, 486, 4213, 2403, 26, 35, 34, 471, 106, 27, 291, 1201, 81, 955 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 9, 7, 9, 7, 9, 7, 9, 7, 4, 4, 6, 6, 9, 7, 9, 7, 9, 7, 9, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 10, 9, 8, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 10, 9, 8, 7, 4, 4, 6, 6, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 4, 4, 6, 6, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 10, 9, 8, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 10, 9, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 6, 7, 6, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 5, 5, 8, 8, 10, 12, 11, 6, 6, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 13, 13, 13, 14, 13, 10, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 9, 7, 9, 7, 9, 7, 9, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 9, 8, 10, 10, 10, 10, 11, 10, 8, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 10, 9, 10, 8, 10, 10, 10, 10, 11, 10, 11, 10, 8, 7, 4, 4, 6, 6, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 11, 11, 10, 8, 7, 4, 4, 7, 7 ]
[ 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, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 3, 3, 1, 2, 2, 2, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 5, 5, 2, 1, 2, 5, 5, 0, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 3, 2, 5, 2, 7, 2, 9, 2, 1, 2, 1, 2, 1, 2, 1, 2, 4, 4, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 9, 2, 11, 2, 13, 2, 15, 2, 17, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 3, 1, 4, 4, 0, 0, 1, 2, 3, 2, 5, 2, 7, 2, 9, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 4, 4, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 11, 2, 13, 2, 15, 2, 17, 2, 19, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 3, 3, 3, 5, 3, 7, 7, 7, 3, 9, 9, 9, 3, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 3, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 3, 2, 5, 2, 7, 2, 9, 2, 1, 2, 1, 2, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 3, 1, 3, 1, 4, 4, 0, 0, 1, 2, 3, 2, 5, 2, 7, 2, 9, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0 ]
[ 1070, 7744, 1188, 9812, 90, 30, 10712, 90, 203, 1070, 18414, 1188, 26697, 203, 465, 6436, 619, 2065, 203, 589, 600, 452, 482, 26, 70, 30, 390, 35, 30, 390, 36, 30, 390, 37, 30, 390, 38, 30, 390, 39, 711, 1568, 442, 2065, 32, 2832, 26, 53, 35, 474, 390, 36, 33, 70, 474, 390, 37, 28, 2356, 32, 751, 26, 70, 27, 474, 390, 38, 28, 70, 326, 53, 39, 27, 203, 589, 2182, 271, 81, 48117, 4727, 5500, 26, 70, 30, 394, 85, 30, 390, 35, 30, 390, 36, 30, 390, 37, 30, 390, 38, 711, 284, 3330, 225, 1565, 280, 394, 517, 394, 85, 284, 442, 390, 35, 8088, 35, 429, 1565, 9593, 26, 53, 36, 474, 390, 37, 28, 854, 474, 390, 38, 28, 854, 326, 36, 27, 517, 225, 35, 34, 34, 34, 203, 589, 9203, 81, 3415, 266, 12563, 26, 70, 30, 390, 35, 30, 390, 36, 30, 390, 37, 30, 390, 38, 30, 390, 39, 711, 284, 1524, 442, 308, 53, 35, 474, 390, 36, 28, 70, 474, 390, 37, 28, 70, 326, 36, 474, 390, 38, 28, 70, 326, 37, 474, 390, 39, 28, 70, 326, 38, 27, 517, 225, 35, 34, 34, 34, 203, 589, 9203, 81, 4980, 462, 84, 2073, 97, 26, 70, 30, 390, 35, 30, 390, 36, 30, 390, 37, 30, 390, 38, 30, 390, 39, 711, 284, 1524, 53, 1759, 308, 53, 35, 474, 390, 36, 45444, 53, 37, 33, 70, 27, 517, 9812, 90, 26, 53, 37, 33, 70, 490, 326, 36, 474, 390, 38, 45444, 53, 39, 33, 70, 27, 517, 10712, 90, 26, 53, 39, 33, 70, 490, 326, 36, 27, 517, 225, 35, 34, 34, 34, 203, 589, 9203, 81, 374, 448, 7005, 35, 26, 70, 30, 390, 35, 30, 390, 36, 30, 390, 37, 30, 390, 38, 30, 390, 39, 711, 284, 1524, 55, 6306, 375, 308, 53, 35, 474, 390, 36, 28, 70, 474, 53, 37, 28, 70, 326, 36, 474, 390, 38, 28, 70, 326, 37, 474, 390, 39, 28, 70, 326, 38, 27, 517, 225, 35, 34, 34, 34, 203, 589, 9203, 81, 374, 448, 7005, 36, 26, 70, 30, 394, 85, 30, 390, 35, 30, 390, 36, 30, 390, 37, 30, 390, 38, 711, 284, 1524, 24281, 3531, 225, 35, 429, 394, 33, 34100, 225, 588, 273, 280, 225, 35, 45932, 8580, 53, 35, 326, 36, 4165, 102, 474, 390, 36, 429, 225, 36, 28, 53, 35, 28, 53, 37, 28, 102, 429, 390, 35, 28, 53, 38, 28, 102, 326, 36, 429, 308, 53, 37, 326, 36, 28, 102, 326, 37, 4165, 37, 429, 308, 53, 37, 28, 53, 38, 28, 102, 326, 38, 4165, 36, 324, 429, 308, 53, 38, 326, 36, 28, 102, 326, 39, 4165, 39, 27, 517, 225, 35, 34, 34, 34, 27, 203, 589, 1663, 21468, 905, 81, 2219, 26, 70, 35, 30, 394, 36, 30, 484, 9802, 5500, 81, 2219, 711, 284, 1524, 3511, 9802, 771, 332, 32, 11455, 26, 735, 103, 5500, 81, 2219, 30, 394, 35, 30, 394, 36, 5594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 9, 9, 8, 8, 10, 9, 10, 7, 7, 9, 8, 11, 10, 11, 10, 11, 10, 6, 6, 8, 7, 9, 8, 9, 9, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 1, 1, 4, 4, 5, 5, 6, 2, 2, 3, 6, 5, 9, 8, 8, 7, 7, 10, 10, 9, 9, 11, 10, 11, 8, 8, 10, 9, 11, 10, 11, 7, 4, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 9, 9, 8, 8, 10, 9, 15, 15, 14, 15, 13, 12, 12, 14, 14, 16, 16, 15, 16, 14, 10, 11, 7, 7, 9, 8, 14, 14, 13, 14, 12, 11, 11, 13, 13, 15, 15, 14, 15, 13, 9, 10, 6, 4, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 5, 6, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 10, 10, 9, 10, 8, 10, 9, 10, 7, 6, 5, 4, 4, 5, 5, 5, 5, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 11, 2, 3, 3, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 11, 2, 4, 4, 4, 4, 0, 0, 2, 2, 2, 5, 5, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 11, 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, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 11, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 3, 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, 4, 4, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 3, 3, 3, 3, 2, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 5, 5, 5, 5, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 1361, 15613, 30, 1361, 15613, 81, 2796, 203, 1270, 44, 284, 645, 638, 1188, 4527, 203, 7343, 10091, 44, 284, 1188, 4527, 203, 823, 19665, 6781, 26, 1113, 15613, 81, 2796, 32, 6781, 711, 284, 665, 544, 81, 1217, 81, 980, 31016, 26, 784, 30, 2202, 30, 5202, 30, 4981, 711, 291, 415, 646, 4527, 32, 297, 81, 28997, 81, 761, 26, 1071, 711, 324, 442, 1665, 291, 31640, 280, 4527, 32, 878, 81, 1001, 3870, 299, 81, 3953, 26, 1071, 30, 4981, 27, 291, 415, 1169, 2009, 878, 32, 7201, 922, 5729, 922, 20643, 26, 103, 25, 14413, 683, 436, 1344, 328, 31640, 10794, 324, 1361, 24235, 2353, 280, 4527, 32, 1809, 81, 878, 81, 1170, 81, 9003, 26, 1071, 30, 400, 330, 2225, 32, 426, 32, 1126, 32, 28997, 683, 324, 415, 646, 1361, 24235, 2353, 44, 400, 442, 1665, 324, 1361, 24235, 2353, 32, 3323, 346, 324, 9631, 1785, 280, 10440, 1113, 30, 1361, 27, 436, 1361, 328, 1361, 24235, 2353, 79, 324, 442, 308, 980, 31016, 30, 1361, 15613, 32, 521, 40694, 81, 4468, 81, 5762, 815, 5072, 69, 27, 203, 823, 2222, 68, 4832, 705, 2137, 41, 36, 2221, 26, 1113, 15613, 81, 2796, 32, 6781, 711, 284, 665, 544, 81, 944, 26, 784, 30, 2202, 711, 291, 415, 646, 4527, 32, 297, 81, 28997, 81, 761, 26, 1071, 711, 324, 442, 291, 540, 338, 483, 280, 2202, 32, 3550, 922, 371, 26, 103, 25, 100, 338, 483, 683, 291, 415, 225, 41, 36, 646, 328, 540, 338, 483, 44, 324, 540, 338, 483, 32, 1689, 26, 41, 36, 27, 324, 540, 338, 483, 32, 3323, 346, 4288, 2202, 32, 3550, 922, 470, 26, 103, 25, 100, 338, 483, 370, 540, 338, 483, 27, 203, 823, 7087, 5095, 27106, 4044, 2221, 26, 1113, 15613, 81, 2796, 32, 6781, 711, 284, 665, 544, 81, 944, 26, 784, 30, 2202, 711, 291, 415, 646, 4527, 32, 297, 81, 28997, 81, 761, 26, 1071, 711, 324, 442, 291, 5456, 4044, 280, 2202, 32, 3550, 922, 371, 26, 103, 25, 1112, 81, 17641, 4044, 683, 291, 5456, 4044, 280, 5456, 4044, 32, 3227, 26, 103, 27941, 370, 1044, 25, 1814, 3227, 26, 103, 44916, 370, 1044, 48890, 291, 2202, 32, 3550, 922, 470, 26, 103, 25, 1112, 81, 17641, 4044, 370, 5456, 4044, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 2, 2, 4, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 5, 5, 7, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 5, 7, 15, 14, 15, 14, 13, 12, 11, 10, 12, 12, 12, 12, 8, 9, 9, 9, 8, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 8, 9, 9, 7, 7, 7, 9, 6, 6, 10, 10, 9, 10, 9, 6, 6, 9, 8, 8, 11, 10, 10, 10, 9, 10, 10, 10, 11, 11, 9, 6, 6, 7, 9, 9, 8, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 5, 5, 4, 4, 7, 7, 6, 6, 10, 11, 10, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 7, 7, 6, 6, 6, 7, 7, 5, 5, 5, 10, 10, 9, 10, 9, 10, 10, 9, 6, 6, 10, 10, 9, 10, 9, 6, 6, 11, 12, 11, 10, 9, 11, 11, 11, 11, 11, 11, 9, 10, 10, 9, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 5, 5, 4, 4, 7, 6, 6, 10, 11, 10, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 6, 6, 11, 10, 11, 10, 12, 12, 12, 10, 12, 12, 9, 8, 10, 10, 10, 8, 10, 4, 4, 9, 10, 9, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 3, 3, 3, 3, 3, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 3, 3, 4, 1, 1, 1, 1, 0, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 4, 4, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 3, 3, 1, 0, 4, 4, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 4, 4, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 2116, 505, 280, 313, 2733, 290, 2496, 1913, 555, 1499, 32, 2733, 290, 2496, 32, 1299, 20, 203, 505, 11794, 505, 280, 313, 10581, 308, 53, 27, 225, 36, 34, 34, 42, 31, 36, 34, 35, 35, 399, 2274, 44416, 31999, 4160, 5930, 20, 203, 505, 2077, 505, 280, 313, 34702, 5240, 101, 810, 31, 6635, 31, 2496, 1913, 555, 38084, 32, 1088, 33, 4188, 33, 1170, 31, 6635, 31, 2496, 33, 37, 32, 34, 5681, 203, 465, 2322, 203, 465, 5237, 203, 465, 1133, 203, 465, 45977, 203, 465, 46281, 277, 2323, 203, 589, 2771, 81, 11731, 26, 101, 711, 203, 202, 325, 827, 26, 101, 14585, 426, 505, 610, 330, 466, 950, 357, 202, 101, 280, 309, 32, 5460, 463, 3310, 31, 42, 683, 203, 202, 101, 280, 309, 32, 3227, 463, 17359, 81, 683, 203, 202, 101, 280, 309, 32, 3227, 3247, 1195, 81, 683, 203, 202, 101, 280, 309, 32, 3227, 16487, 1195, 81, 683, 203, 202, 101, 280, 309, 32, 3227, 3949, 1195, 81, 683, 203, 202, 101, 280, 309, 32, 3227, 44868, 1195, 81, 683, 203, 202, 101, 280, 309, 32, 3227, 463, 19, 1195, 81, 683, 203, 202, 601, 26, 101, 32, 4434, 463, 3310, 31, 42, 2847, 203, 823, 5741, 81, 823, 44, 203, 202, 6344, 751, 280, 1665, 203, 202, 589, 1156, 1664, 3207, 784, 30, 18146, 1057, 7831, 357, 202, 1199, 2388, 280, 46281, 277, 2323, 32, 929, 22665, 81, 371, 81, 1199, 2388, 346, 357, 202, 325, 3082, 2388, 863, 3177, 44, 355, 202, 325, 18146, 863, 4247, 499, 603, 202, 784, 32, 6344, 751, 280, 2156, 26, 1199, 2388, 6897, 26565, 10555, 1947, 105, 683, 355, 202, 1824, 499, 603, 202, 43038, 277, 2323, 32, 751, 81, 1676, 26, 1199, 2388, 27, 357, 202, 1824, 44, 355, 202, 1216, 7185, 1423, 1356, 79, 18236, 44, 4881, 2156, 46281, 277, 2323, 3082, 2388, 32, 2662, 646, 8765, 8374, 20, 203, 202, 589, 1245, 26, 784, 30, 101, 711, 357, 202, 325, 630, 32, 6344, 751, 863, 1665, 499, 355, 202, 784, 32, 6344, 751, 32, 1821, 4912, 101, 904, 101, 78, 96, 20, 904, 308, 1003, 32, 20834, 4912, 86, 9708, 95, 9708, 75, 904, 58, 6069, 63, 6069, 69, 2113, 309, 27, 829, 357, 202, 1824, 44, 355, 202, 43038, 277, 2323, 32, 751, 81, 669, 26, 466, 26, 101, 490, 203, 202, 589, 1245, 36, 5000, 81, 1517, 26, 784, 30, 101, 711, 357, 202, 1216, 440, 3602, 6016, 904, 101, 20, 904, 309, 27, 357, 202, 3731, 32, 9362, 32, 9321, 346, 203, 202, 589, 1245, 36, 5000, 81, 98, 1632, 81, 267, 26, 784, 711, 357, 202, 1216, 440, 32121, 5701, 657, 357, 202, 3731, 32, 9362, 32, 9321, 346, 203, 202, 589, 1245, 36, 5000, 81, 98, 1632, 81, 1719, 26, 784, 711, 357, 202, 1216, 440, 32121, 16585, 657, 357, 202, 3731, 32, 9362, 32, 9321, 346, 203, 202, 589, 1245, 36, 5000, 81, 98, 1632, 26, 784, 30, 91, 711, 357, 202, 325, 595, 848, 225, 35, 34, 34, 44, 355, 202, 91 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 7, 8, 7, 6, 6, 4, 4, 6, 6, 3, 3, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 8, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 8, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 8, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 8, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 8, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 2, 2, 3, 4, 7, 6, 7, 6, 8, 8, 8, 8, 0, 1, 1, 2, 2, 1, 1, 1, 5, 5, 4, 4, 2, 2, 3, 3, 4, 4, 5, 4, 4, 5, 7, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 5, 5, 7, 6, 6, 5, 5, 5, 7, 7, 8, 8, 7, 7, 7, 12, 11, 12, 12, 10, 10, 12, 15, 15, 14, 16, 14, 12, 14, 14, 7, 7, 8, 8, 8, 8, 13, 13, 13, 12, 13, 13, 13, 12, 13, 13, 12, 5, 5, 6, 6, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 3, 4, 5, 4, 5, 4, 3, 3, 5, 5, 7, 8, 8, 6, 6, 5, 5, 5, 11, 10, 11, 11, 9, 10, 9, 12, 12, 12, 13, 13, 12, 10, 10, 14, 13, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 11, 11, 9, 5, 5, 6, 6, 6, 6, 11, 11, 11, 10, 11, 11, 11, 10, 12, 12, 13, 12, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 7, 7, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 9, 8, 9, 7, 8, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 9, 9, 9, 4, 4, 9, 8, 9, 7, 8, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 9, 9, 9, 4, 4, 9, 8, 9, 7, 8, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 4, 4, 7, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 9, 9, 9, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 2, 1, 2, 3, 2, 3, 3, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 3, 3, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 3, 3, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 3, 3, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 3, 2, 6, 6, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0 ]
[ 465, 281, 14686, 274, 30, 316, 203, 1070, 323, 46975, 1188, 323, 46975, 81, 990, 203, 1070, 1133, 1188, 1133, 203, 1070, 26313, 1188, 15105, 203, 1070, 6560, 13821, 1188, 1156, 1648, 505, 203, 1070, 6560, 13821, 32, 4151, 1188, 9042, 203, 1070, 6560, 13821, 32, 1055, 1188, 6422, 203, 1070, 6560, 13821, 32, 1055, 1188, 14893, 1284, 924, 30, 4306, 1419, 1547, 924, 30, 6422, 2062, 924, 203, 1070, 6560, 13821, 32, 1055, 1188, 617, 4416, 81, 9193, 81, 2474, 203, 1070, 6560, 13821, 32, 2157, 1188, 15105, 924, 203, 1070, 6560, 13821, 32, 3592, 32, 2400, 2402, 1188, 7588, 2863, 203, 1070, 6560, 13821, 32, 2946, 1188, 617, 1844, 81, 3364, 30, 617, 10301, 81, 3364, 203, 81, 9193, 81, 4530, 280, 429, 35, 34, 39, 203, 81, 19814, 69, 280, 313, 86, 1871, 110, 3455, 108, 110, 102, 425, 110, 12308, 108, 110, 35331, 110, 46062, 20, 203, 823, 17115, 34175, 13976, 26, 1473, 711, 284, 665, 3066, 81, 2812, 26, 784, 30, 3693, 1516, 30, 3066, 280, 2933, 711, 291, 630, 32, 19978, 32, 2560, 81, 2812, 26, 1427, 1516, 30, 3066, 280, 3066, 27, 284, 665, 8128, 81, 998, 26, 784, 711, 291, 442, 630, 32, 19978, 32, 11965, 81, 998, 346, 284, 665, 438, 81, 11965, 26, 784, 30, 3693, 1516, 711, 291, 442, 630, 32, 19978, 32, 297, 81, 11965, 26, 1427, 1516, 27, 284, 665, 1401, 81, 286, 31016, 26, 784, 711, 291, 442, 630, 32, 19978, 32, 2040, 81, 286, 31016, 346, 203, 823, 2032, 1284, 26, 7707, 34175, 13976, 30, 6422, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4759, 30, 5365, 30, 1487, 47, 2700, 30, 1650, 426, 11645, 4416, 81, 9193, 81, 2474, 711, 291, 630, 32, 4219, 280, 4759, 291, 630, 32, 1055, 426, 280, 1650, 426, 291, 415, 5365, 438, 646, 1665, 461, 646, 6937, 26, 3968, 30, 9042, 711, 324, 3636, 10091, 4912, 100, 438, 646, 312, 9042, 1300, 20, 904, 5365, 27, 291, 630, 32, 19407, 280, 630, 32, 5323, 81, 19407, 346, 291, 415, 1487, 44, 324, 415, 5365, 438, 1665, 44, 400, 3636, 44121, 440, 705, 1487, 600, 1650, 844, 2298, 6377, 312, 5365, 657, 324, 630, 32, 3968, 280, 5365, 324, 630, 32, 19407, 280, 225, 34, 324, 630, 32, 8708, 81, 4680, 280, 225, 34, 324, 630, 32, 19978, 280, 17115, 885, 346, 324, 630, 32, 11200, 346, 324, 5202, 280, 7286, 23, 101, 15659, 904, 630, 32, 1055, 426, 324, 436, 4870, 328, 630, 32, 4219, 44, 400, 415, 4870, 32, 15990, 26, 4254, 711, 528, 4759, 32, 2560, 81, 761, 26, 3607, 27, 324, 630, 1114, 1821, 346, 291, 4348, 630, 32, 19407, 2377, 225, 34, 44, 324, 630, 1114, 850, 26, 3968, 27, 291, 813, 44, 324, 3636, 14893, 1284, 924, 291, 630, 1114, 1903, 265, 280, 630, 32, 1903, 265, 346, 291, 630, 32, 8708, 81, 1516, 81, 809, 280, 15105, 346, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 5461, 101, 7846, 100, 30, 904, 100, 4731, 904, 308, 784, 3667, 823, 29215, 426, 7642, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 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, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 6, 5, 6, 6, 6, 6, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 5, 7, 7, 7, 6, 6, 7, 9, 10, 9, 9, 9, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 5, 5, 5, 7, 8, 8, 7, 7, 7, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 9, 10, 8, 8, 6, 6, 9, 10, 8, 8, 9, 6, 6, 9, 10, 10, 10, 8, 8, 9, 6, 6, 9, 10, 8, 8, 10, 10, 6, 6, 9, 10, 9, 6, 6, 8, 8, 11, 11, 11, 9, 9, 10, 11, 11, 6, 6, 7, 7, 7, 8, 9, 7, 7, 7, 9, 11, 12, 11, 12, 11, 9, 9, 13, 14, 14, 14, 13, 14, 13, 6, 6, 9, 10, 9, 5, 5, 6, 8, 9, 7, 7, 8, 6, 6, 6, 10, 11, 10, 11, 10, 5, 5, 6, 6, 6, 8, 9, 9, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 9, 10, 10, 9, 9, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 10, 10, 0, 1, 2, 1, 4, 4, 10, 10, 0, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 15, 15, 1, 2, 1, 1, 1, 2, 2, 2, 15, 15, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 0, 9, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 3, 3, 0, 2, 0, 0, 2, 3, 3, 0, 2, 2, 2, 0, 0, 2, 3, 3, 0, 2, 0, 0, 0, 1, 3, 3, 0, 2, 1, 3, 3, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 7, 7, 7, 3, 2, 7, 7, 7, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 4, 4, 4, 0, 2, 1, 1, 2, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 5, 5, 5, 0, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2 ]
[ 465, 5237, 203, 1070, 32774, 305, 339, 716, 1188, 2761, 203, 1270, 44, 284, 645, 48885, 38, 1188, 34031, 30, 10701, 2852, 284, 1188, 43869, 203, 7343, 29986, 44, 284, 1459, 313, 924, 44, 9919, 7171, 48885, 38, 3107, 284, 5237, 32, 4775, 26, 35, 27, 203, 1270, 44, 284, 645, 32774, 305, 339, 716, 32, 12561, 8463, 32, 3399, 81, 1070, 1188, 6867, 81, 599, 203, 7343, 29986, 44, 284, 645, 6867, 81, 599, 1188, 6867, 81, 599, 203, 823, 6867, 81, 14577, 42299, 81, 599, 26, 3399, 81, 599, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2663, 81, 1521, 30, 1780, 1057, 7831, 291, 6867, 81, 599, 3667, 1664, 3207, 784, 30, 2663, 81, 1521, 30, 1780, 27, 291, 630, 32, 990, 81, 748, 81, 3086, 280, 34031, 32, 33308, 30432, 346, 291, 630, 32, 990, 81, 748, 81, 599, 280, 34031, 32, 67, 1241, 2344, 346, 291, 630, 32, 990, 81, 748, 81, 3086, 32, 669, 2344, 26, 784, 32, 990, 81, 748, 81, 599, 27, 291, 630, 32, 3086, 32, 669, 2344, 26, 784, 32, 990, 81, 748, 81, 3086, 30, 225, 35, 30, 38, 30, 35, 30, 35, 27, 291, 630, 32, 1069, 86, 81, 891, 81, 695, 280, 34031, 32, 67, 1428, 7063, 26, 34, 30, 225, 36, 326, 35, 42, 30, 630, 27, 291, 630, 32, 1069, 86, 81, 891, 81, 3176, 280, 34031, 32, 67, 34293, 26, 784, 27, 291, 630, 32, 1069, 86, 81, 891, 81, 3176, 32, 36566, 2611, 26, 39, 34, 27, 291, 630, 32, 1069, 86, 81, 891, 81, 3176, 32, 34698, 2611, 26, 35, 34, 34, 27, 291, 630, 32, 1069, 86, 81, 891, 81, 3176, 32, 6616, 26, 30609, 32, 16606, 4912, 35, 1895, 626, 26, 1393, 81, 1521, 1114, 1069, 86, 81, 891, 490, 291, 630, 32, 1069, 86, 81, 891, 81, 3176, 32, 470, 7063, 26, 784, 32, 1069, 86, 81, 891, 81, 695, 27, 291, 630, 32, 990, 81, 748, 81, 599, 32, 669, 2352, 440, 35441, 8660, 9318, 630, 32, 1069, 86, 81, 891, 81, 3176, 27, 291, 630, 32, 3517, 26, 784, 32, 1069, 86, 81, 891, 81, 3176, 30, 10701, 2852, 32, 27852, 440, 601, 12719, 346, 2113, 3486, 630, 32, 1877, 81, 1069, 86, 81, 891, 27, 291, 630, 32, 1069, 86, 81, 4463, 81, 18771, 280, 34031, 32, 67, 11245, 26, 784, 27, 291, 630, 32, 1069, 86, 81, 4463, 81, 18771, 32, 669, 3637, 14141, 2521, 392, 313, 43802, 6714, 392, 313, 58, 1020, 392, 313, 12849, 1588, 392, 9474, 313, 4367, 5089, 392, 313, 61, 8139, 265, 392, 313, 12849, 1588, 31, 90, 47704, 6890, 291, 630, 32, 1069, 86, 81, 4463, 81, 18771, 32, 28153, 1284, 26, 784, 32, 1393, 81, 1521, 32, 8463, 81, 4636, 93, 32, 19351, 81, 3518, 19200, 35, 27, 291, 630, 32, 990, 81, 748, 81, 599, 32, 669, 2352, 440, 1669, 9318, 630, 32, 1069, 86, 81, 4463, 81, 18771, 27, 291, 630, 32, 3517, 26, 784, 32, 1069, 86, 81, 4463, 81, 18771, 30, 3486, 10701, 2852, 32, 27852 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 5, 3, 3, 3, 3, 5, 2, 2, 3, 1, 2, 2, 2, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 7, 6, 7, 6, 0, 1, 1, 1, 1, 3, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 4, 6, 6, 4, 4, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 7, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 7, 8, 7, 8, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 10, 9, 10, 10, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 8, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 8, 8, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 7, 12, 11, 12, 11, 13, 13, 10, 9, 11, 11, 11, 10, 11, 11, 11, 11, 9, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 8, 7, 9, 9, 9, 7, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 9, 11, 11, 11, 11, 7, 7, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 10, 10, 8, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 13, 12, 13, 13, 13, 11, 12, 12, 12, 12, 10, 11, 11, 11, 10, 9, 7, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 8, 7, 9, 9, 7, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 9, 9, 9, 7, 7, 7, 10, 9, 10 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 0, 3, 3, 3, 3, 0, 0, 0, 0, 1, 2, 2, 1, 4, 4, 4, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 1, 5, 1, 7, 1, 9, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2 ]
[ 465, 16672, 203, 465, 40946, 203, 465, 5741, 203, 465, 316, 203, 1070, 31074, 1188, 8529, 81, 45725, 203, 1070, 2322, 1188, 1519, 30, 1149, 1515, 203, 1070, 5592, 32, 48609, 1188, 6828, 3350, 203, 7490, 32, 6390, 1063, 26, 2649, 47, 7490, 32, 1589, 27, 203, 589, 622, 18974, 487, 881, 2262, 284, 16765, 280, 1519, 32, 7781, 26, 983, 32, 21379, 4064, 761, 28154, 284, 442, 1519, 32, 2524, 26, 13425, 30, 313, 823, 81, 668, 32, 2593, 657, 203, 589, 7275, 7230, 2262, 284, 16765, 280, 1519, 32, 2524, 26, 291, 1519, 32, 7781, 26, 983, 32, 21379, 4064, 761, 505, 3662, 313, 32044, 657, 284, 2276, 280, 1149, 1515, 26, 13425, 27, 284, 16682, 280, 428, 106, 436, 816, 328, 2276, 79, 284, 16682, 32, 3215, 26, 34, 30, 313, 4108, 657, 284, 442, 16682, 203, 3801, 280, 313, 1854, 1196, 4333, 645, 312, 7402, 803, 372, 3449, 21873, 15111, 20, 203, 3922, 280, 16672, 32, 26633, 26, 2310, 47, 3801, 27, 203, 3922, 32, 669, 81, 2669, 13692, 1131, 392, 3466, 347, 18974, 487, 98, 392, 1244, 47, 371, 18974, 487, 881, 1026, 528, 3049, 347, 1612, 7402, 803, 30, 1244, 44, 16531, 1643, 26, 371, 18974, 487, 881, 5156, 203, 3922, 32, 669, 81, 2669, 13692, 2024, 31, 1515, 392, 3466, 347, 2024, 1515, 392, 2129, 47, 1815, 30, 528, 3049, 347, 2301, 3362, 436, 4723, 2276, 657, 203, 3922, 32, 669, 81, 2669, 13692, 4189, 392, 16682, 47, 1581, 7230, 1026, 1244, 347, 4108, 392, 528, 3049, 47, 440, 21052, 322, 2898, 432, 13178, 20, 3775, 313, 436, 322, 1688, 2276, 32, 4101, 438, 17764, 308, 4108, 547, 313, 3775, 313, 5217, 44, 1348, 438, 2370, 436, 322, 4333, 8015, 19, 2131, 203, 1132, 280, 4118, 32, 2208, 81, 1132, 346, 203, 325, 646, 1519, 32, 29712, 26, 1132, 32, 18974, 487, 98, 711, 284, 5741, 32, 24559, 440, 974, 646, 2431, 44, 16531, 1643, 26, 1132, 32, 18974, 487, 98, 490, 284, 4323, 26, 35, 27, 203, 12106, 646, 1519, 32, 34103, 26, 1132, 32, 2024, 1515, 711, 284, 5741, 32, 24559, 440, 1215, 1957, 646, 2307, 44, 16531, 1643, 26, 1132, 32, 2024, 1515, 490, 284, 4323, 26, 35, 27, 203, 81, 280, 40946, 32, 33170, 203, 325, 2181, 32, 4189, 863, 313, 4108, 563, 284, 7275, 280, 40946, 32, 7485, 26, 4116, 347, 26738, 27968, 392, 7686, 29674, 1231, 476, 347, 32044, 392, 7686, 15111, 6020, 1132, 32, 4189, 1130, 284, 7275, 32, 3789, 346, 284, 617, 280, 7275, 32, 33170, 203, 53, 81, 11238, 280, 26155, 1492, 46, 687, 4178, 89, 823, 5003, 687, 1563, 6098, 372, 1938, 432, 443, 20, 2607, 313, 301, 89, 823, 1748, 4565, 33, 823, 5290, 13339, 823, 8474, 203, 6600, 81, 11238, 280, 26155, 1492, 46, 687, 4178, 89, 823, 43505, 1959, 5003, 687, 1563, 6098, 313, 324, 313, 452, 1938, 301, 89, 823, 835, 4169, 301, 1959, 1748, 21328, 324, 313, 6563, 823, 5290, 13339, 823, 111, 9423, 13339, 1959, 8474, 203, 9027, 81, 45892, 280, 26155, 1492, 46, 687, 4178, 1959, 5003, 687 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 4, 3, 4, 4, 3, 5, 4, 6, 5, 6, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 9, 8, 9, 8, 9, 9, 2, 2, 3, 5, 6, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 1, 1, 4, 4, 6, 7, 6, 6, 6, 8, 9, 8, 11, 10, 11, 10, 11, 11, 10, 6, 8, 8, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 4, 4, 6, 5, 6, 6, 6, 5, 2, 2, 5, 6, 5, 6, 5, 5, 7, 7, 2, 2, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 6, 5, 6, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 6, 6, 6, 6, 3, 4, 6, 6, 6, 6, 6, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 7, 6, 8, 8, 8, 8, 8, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 6, 6, 6, 3, 4, 6, 6, 3, 3, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 1, 1, 2, 4, 5, 4, 6, 5, 6, 6, 6, 4, 1, 1, 5, 6, 5, 9, 9, 9, 9, 9, 8, 7, 9, 8, 9, 9, 9, 7, 2, 2, 5, 6, 5, 1, 2, 2, 3, 5, 6, 5, 7, 6, 7, 7, 5, 2, 2, 6, 7, 6, 10, 10, 10, 10, 10, 10, 9, 8, 10, 9, 10, 10, 8, 3, 3, 6, 7, 6, 0, 3, 2, 2, 3, 4, 0, 1, 1, 3, 4, 2, 2, 4, 4, 1, 1, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 6, 6, 8, 8, 7, 9, 9, 6, 6, 7, 10, 9, 10, 8, 2, 2, 5, 6, 5, 2, 2, 4, 4, 5, 6, 0, 3, 3, 3, 2, 2, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 2, 2, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 2, 2, 8, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 8, 8, 1, 1, 1, 2, 8, 8, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 2, 9, 9, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 0, 0, 0, 0, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 0, 0, 1, 1, 5, 1, 2, 1, 1, 7, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 16, 16, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 16, 16, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 1, 1, 1, 16, 4, 4, 1, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 18, 18, 0, 2, 1, 1, 1, 2, 18, 18, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 2, 1, 1, 5, 0, 1, 2, 2, 3, 3, 0, 2, 1, 3, 3, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 301, 284, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 284, 330, 1517, 950, 2107, 8687, 2188, 284, 330, 7095, 81, 1170, 950, 330, 11863, 25, 203, 111, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 5499, 81, 388, 368, 81, 1008, 8713, 203, 4021, 81, 2310, 44, 546, 4734, 1893, 632, 53, 10697, 3488, 203, 9971, 81, 10270, 81, 9854, 44, 284, 429, 3706, 725, 32, 3258, 81, 388, 368, 203, 1648, 81, 11043, 44, 330, 36, 32, 40, 25, 203, 2116, 44, 663, 90, 13653, 42813, 812, 269, 308, 380, 36984, 481, 50, 42427, 32, 508, 27, 203, 2310, 44, 284, 429, 5351, 322, 632, 53, 10697, 2926, 461, 827, 15137, 11350, 827, 461, 2926, 1991, 3497, 32, 203, 2184, 44, 334, 1603, 44, 284, 3048, 44, 284, 429, 14071, 322, 3191, 10697, 1395, 2307, 32, 284, 2129, 44, 901, 284, 16682, 44, 2107, 2689, 785, 284, 1244, 44, 330, 2689, 25, 334, 10697, 81, 426, 44, 284, 3048, 44, 284, 429, 19009, 322, 10697, 636, 32, 284, 2129, 44, 861, 334, 1541, 81, 426, 44, 284, 3048, 44, 284, 429, 19009, 322, 10697, 6765, 1541, 32, 284, 2129, 44, 861, 334, 2926, 44, 284, 3048, 44, 284, 429, 19009, 322, 2926, 432, 322, 10697, 32, 334, 827, 44, 284, 3048, 44, 284, 429, 19009, 322, 17728, 38, 827, 432, 322, 10697, 32, 203, 9592, 203, 1460, 39189, 280, 5881, 284, 429, 636, 44, 19927, 10697, 397, 5499, 81, 388, 368, 81, 8713, 44, 291, 1603, 44, 5024, 291, 10697, 81, 426, 44, 706, 36, 291, 1541, 81, 426, 44, 2317, 46912, 96, 31, 104, 4485, 35, 291, 2926, 44, 17728, 291, 827, 44, 1760, 291, 15871, 44, 17610, 3706, 725, 81, 12256, 7397, 291, 952, 44, 17610, 3706, 725, 81, 699, 7397, 291, 3882, 44, 17610, 3706, 725, 81, 2895, 7397, 203, 9592, 203, 10934, 280, 5881, 203, 9592, 203, 465, 27374, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 6390, 1188, 35603, 2459, 203, 1070, 28520, 32, 1647, 81, 2304, 1114, 878, 1188, 372, 81, 3723, 203, 465, 28520, 32, 1647, 81, 2304, 32, 42427, 619, 3706, 725, 81, 2304, 203, 21415, 81, 4773, 6870, 81, 7655, 280, 3706, 725, 81, 2304, 32, 2040, 81, 42427, 81, 1356, 346, 203, 823, 10860, 1290, 65, 43621, 8713, 26, 1473, 711, 284, 5881, 1300, 372, 5510, 225, 10697, 3099, 5881, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 2669, 81, 2285, 280, 3706, 725, 81, 2304, 32, 3258, 81, 388, 368, 81, 2035, 81, 2669, 81, 2285, 346, 291, 630, 32, 2669, 81, 2285, 32, 1877, 26, 2665, 26, 324, 1603, 47, 2665, 26, 3648, 47, 2700, 30, 16682, 11414, 2689, 2188, 1244, 1057, 2689, 1425, 324, 10697, 81, 426, 47, 2665, 26, 3648, 47, 1815, 30, 827, 1057, 466, 1425, 324, 1541, 81, 426, 47, 2665, 26, 3648, 47, 1815, 30, 827, 1057, 466, 1425, 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, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 3, 2, 2, 4, 4, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 4, 4, 4, 3, 4, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 10, 12, 12, 14, 13, 14, 12, 12, 13, 16, 16, 12, 13, 15, 15, 9, 9, 11, 11, 10, 12, 12, 14, 13, 14, 12, 12, 13, 15, 15, 9, 9, 11, 11, 10, 12, 12, 14, 13, 14, 12, 12, 13, 15, 15, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 0, 1, 2, 0, 6, 6, 0, 7, 7, 1, 2, 2, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 2, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 0, 2, 2, 2, 0, 4, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 1, 1, 0, 0, 3, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 1, 1, 0, 0, 5, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 1070, 1619, 1356, 1188, 1619, 4018, 203, 1070, 1933, 1188, 28667, 203, 1070, 296, 14336, 32, 2675, 265, 1188, 623, 81, 30578, 81, 1473, 203, 1070, 35094, 1188, 7360, 203, 1070, 3738, 1188, 892, 2424, 203, 465, 1933, 203, 465, 622, 4617, 203, 465, 2322, 203, 465, 316, 203, 465, 22977, 203, 465, 5237, 203, 465, 29590, 203, 1070, 296, 14336, 1188, 18883, 30, 48107, 81, 1819, 30, 4233, 81, 2358, 993, 30, 623, 81, 30578, 81, 1473, 203, 1070, 46624, 32, 4280, 1188, 29657, 203, 1070, 46624, 1188, 17221, 1006, 203, 1070, 26790, 32, 1819, 81, 35312, 1188, 4070, 203, 1070, 26790, 32, 1293, 1188, 4533, 30, 1688, 203, 1070, 26790, 32, 6449, 491, 1188, 28000, 2328, 203, 465, 26790, 32, 4573, 203, 1070, 26790, 32, 4573, 1188, 13316, 30, 372, 81, 2665, 203, 1070, 2145, 1188, 15881, 30, 25260, 37602, 30, 14126, 30, 35733, 203, 1070, 4395, 81, 15189, 1188, 4395, 81, 15189, 203, 823, 25511, 1006, 26, 1473, 711, 284, 665, 4705, 26, 784, 711, 291, 4233, 81, 2358, 993, 346, 291, 630, 32, 8884, 81, 2121, 280, 1933, 32, 34003, 26, 2121, 27, 291, 630, 32, 8884, 81, 2024, 280, 1688, 32, 3028, 346, 291, 630, 32, 2121, 81, 5522, 346, 291, 630, 32, 30606, 280, 29590, 32, 4765, 86, 1433, 346, 284, 665, 739, 81, 4573, 26, 784, 711, 291, 4533, 32, 1877, 26, 452, 81, 2665, 15339, 101, 36737, 101, 6069, 101, 25, 904, 308, 4975, 30, 35733, 30, 15881, 2610, 284, 665, 4533, 81, 5522, 26, 784, 711, 291, 4533, 32, 5820, 81, 3737, 81, 15934, 280, 2933, 291, 630, 32, 470, 81, 4573, 346, 291, 4533, 32, 2895, 280, 25260, 37602, 77, 4975, 79, 291, 4533, 32, 539, 81, 7883, 280, 3177, 284, 665, 40688, 26, 784, 711, 291, 4533, 32, 3815, 346, 4456, 4533, 32, 1877, 26, 784, 32, 8884, 81, 2121, 27, 291, 1688, 32, 1877, 26, 784, 32, 8884, 81, 2024, 27, 291, 22977, 32, 100, 41718, 26, 784, 32, 30606, 27, 291, 4233, 81, 2358, 993, 346, 284, 665, 1519, 26, 784, 30, 319, 983, 81, 10031, 711, 291, 442, 2322, 32, 983, 32, 2524, 26, 784, 32, 30606, 30, 319, 983, 81, 10031, 27, 284, 665, 8664, 761, 26, 784, 30, 1519, 30, 7299, 711, 291, 3466, 280, 630, 32, 983, 26, 983, 27, 291, 623, 2156, 26, 3316, 30, 330, 105, 683, 619, 9899, 44, 324, 9899, 32, 1821, 26, 8078, 27, 291, 442, 3466, 284, 665, 5375, 81, 3546, 47702, 26, 784, 30, 1519, 711, 291, 442, 28000, 2328, 26, 2121, 32, 2035, 81, 800, 547, 4658, 26, 983, 27, 284, 665, 5375, 81, 881, 1247, 26, 784, 30, 1519, 711, 291, 442, 2322, 32, 983, 32, 4658, 26, 983, 27, 203, 589, 3882, 81, 1986, 26, 2895, 30, 6496, 81, 10910, 47, 2521, 30, 32740, 47, 1815, 711, 284, 11152, 280, 18883, 463, 371, 4617, 370, 20695, 47, 1815, 27, 284, 415, 6937, 26, 2895, 30, 892, 2424, 711, 291, 32444, 280, 428, 2895, 79, 284, 813 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 6, 6, 6, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 10, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 10, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 9, 9, 11, 10, 11, 11, 11, 9, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 8, 8, 8, 6, 7, 8, 6, 2, 2, 3, 5, 6, 5, 5, 6, 5, 3, 3, 6, 6, 8, 7, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 13, 13, 13, 13, 0, 0, 13, 13, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 14, 14, 1, 2, 14, 14, 0, 15, 15, 15, 15, 0, 0, 16, 16, 1, 2, 2, 2, 16, 16, 0, 17, 17, 1, 2, 17, 17, 17, 17, 0, 18, 18, 1, 2, 2, 18, 18, 0, 0, 19, 19, 1, 2, 0, 20, 20, 1, 2, 20, 20, 20, 20, 0, 0, 0, 21, 21, 21, 21, 21, 21, 0, 21, 21, 21, 21, 0, 22, 22, 0, 0, 22, 22, 0, 0, 0, 23, 23, 1, 2, 1, 2, 23, 23, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 4, 4, 4, 2, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 2, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 2, 0, 2, 1, 1, 1, 0, 24, 24, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 5, 2, 2, 24, 24, 0, 0, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 0, 1, 2, 1, 1 ]
[ 465, 23978, 203, 1070, 5547, 4458, 1188, 7400, 4615, 203, 1070, 4070, 1188, 319, 203, 69, 280, 9923, 346, 203, 2386, 280, 1665, 203, 823, 13662, 4615, 26, 5584, 4615, 711, 284, 665, 1156, 1664, 3207, 784, 30, 353, 1861, 47, 410, 26, 69, 32, 371, 463, 4458, 370, 330, 4873, 81, 1644, 13356, 353, 2384, 47, 410, 26, 69, 32, 371, 463, 4458, 370, 330, 4873, 81, 2273, 2847, 711, 291, 2599, 26, 7804, 4615, 30, 630, 14585, 1664, 3207, 1644, 30, 2384, 27, 291, 630, 32, 7790, 81, 891, 280, 629, 26, 69, 32, 371, 463, 1902, 370, 330, 7790, 81, 891, 2847, 291, 630, 32, 1877, 81, 29006, 346, 291, 23978, 32, 2751, 32, 1664, 346, 291, 630, 32, 4458, 280, 23978, 32, 2751, 32, 470, 81, 2816, 2009, 1644, 319, 630, 32, 7790, 81, 891, 30, 2384, 319, 630, 32, 7790, 81, 891, 614, 225, 34, 27, 291, 630, 32, 12537, 280, 23978, 32, 8811, 26, 784, 32, 4458, 32, 371, 81, 891, 1157, 291, 3649, 1980, 291, 1980, 280, 630, 284, 665, 1974, 26, 784, 711, 291, 436, 533, 328, 2155, 26, 784, 32, 2273, 711, 324, 436, 816, 328, 2155, 26, 784, 32, 1644, 711, 400, 23978, 32, 3887, 32, 6587, 26, 784, 32, 12537, 30, 630, 32, 7790, 77, 106, 1674, 107, 614, 1833, 106, 319, 630, 32, 7790, 81, 891, 30, 533, 319, 630, 32, 7790, 81, 891, 471, 8580, 106, 474, 225, 35, 27, 319, 630, 32, 7790, 81, 891, 471, 308, 107, 474, 225, 35, 27, 319, 630, 32, 7790, 81, 891, 2610, 291, 630, 32, 4458, 32, 36210, 26, 784, 32, 12537, 30, 308, 34, 30, 225, 34, 490, 291, 23978, 32, 2751, 32, 16243, 346, 291, 23978, 32, 2751, 32, 1877, 346, 284, 665, 1974, 81, 29006, 26, 784, 711, 291, 3097, 284, 665, 739, 81, 29006, 26, 784, 30, 786, 711, 291, 786, 280, 1847, 26, 1449, 26, 853, 30, 225, 34, 471, 225, 42, 27, 291, 358, 32, 470, 463, 4458, 370, 330, 29006, 370, 786, 27, 291, 630, 32, 1877, 81, 29006, 346, 284, 665, 622, 81, 29006, 26, 784, 711, 291, 442, 629, 26, 69, 32, 371, 463, 4458, 370, 330, 29006, 2847, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 1, 1, 0, 3, 2, 2, 4, 0, 3, 2, 2, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 5, 7, 7, 10, 9, 10, 9, 11, 11, 9, 11, 11, 11, 11, 4, 4, 5, 7, 7, 10, 9, 10, 9, 11, 11, 9, 11, 11, 11, 11, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 11, 10, 11, 10, 12, 12, 10, 12, 12, 12, 12, 4, 4, 7, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 7, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 11, 10, 10, 11, 12, 12, 12, 9, 9, 10, 10, 11, 12, 12, 12, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 12, 11, 12, 10, 11, 11, 11, 10, 4, 4, 5, 4, 4, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 7, 9, 8, 9, 7, 5, 5, 7, 7, 7, 9, 11, 10, 11, 9, 7, 7, 12, 13, 11, 12, 11, 13, 12, 13, 11, 11, 14, 15, 13, 14, 13, 13, 12, 11, 15, 14, 14, 15, 16, 16, 16, 13, 13, 14, 14, 15, 16, 16, 16, 13, 12, 18, 17, 17, 18, 16, 15, 15, 16, 17, 17, 17, 14, 13, 17, 16, 16, 17, 15, 14, 14, 15, 16, 16, 16, 13, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 7, 9, 8, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 10, 10, 11, 10, 10, 11, 10, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 7, 9, 9, 7, 7, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 10, 9, 10, 9, 11, 11, 9, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 3, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 5, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 3, 2, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 6, 4, 4, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 3, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 3, 2, 2, 2, 2, 1, 5, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 3, 0, 1, 1, 2, 0, 3, 3, 2, 2, 2, 2, 3, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 0, 0, 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 ]
[ 1070, 5237, 1188, 4323, 203, 1070, 3995, 1188, 10477, 410, 203, 823, 15190, 26, 1473, 711, 284, 665, 6612, 26, 784, 711, 291, 1459, 313, 2272, 9641, 438, 646, 6305, 9577, 32, 3725, 823, 561, 461, 2054, 6612, 922, 20, 291, 4323, 26, 35, 27, 203, 823, 10073, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 9641, 81, 1110, 711, 291, 630, 32, 7608, 81, 1110, 280, 9641, 81, 1110, 284, 665, 4654, 26, 784, 711, 291, 1550, 81, 7608, 280, 630, 32, 7608, 81, 1110, 32, 31864, 81, 7608, 346, 291, 2401, 81, 7608, 280, 630, 32, 7608, 81, 1110, 32, 1978, 81, 7608, 463, 15009, 683, 291, 2218, 1550, 81, 7608, 863, 2401, 81, 7608, 44, 324, 2354, 81, 7608, 81, 426, 280, 1550, 81, 7608, 32, 1403, 346, 324, 1550, 81, 7608, 280, 630, 32, 7608, 81, 1110, 32, 1978, 81, 7608, 26, 1978, 81, 7608, 81, 426, 27, 291, 1550, 81, 7608, 32, 1403, 346, 203, 823, 1513, 550, 26, 7314, 711, 284, 2063, 9510, 280, 428, 291, 313, 4282, 2068, 318, 32, 225, 2448, 6186, 83, 309, 7194, 821, 458, 4414, 276, 313, 10195, 345, 418, 2268, 526, 534, 836, 1179, 325, 11017, 4528, 309, 3303, 391, 4414, 276, 313, 16004, 312, 456, 496, 4414, 276, 313, 59, 1159, 312, 5532, 298, 417, 978, 688, 1182, 6085, 821, 458, 3107, 284, 1481, 284, 665, 6612, 26, 784, 711, 291, 1459, 1513, 550, 32, 8910, 101, 77, 21378, 26, 34, 30, 2069, 26, 784, 32, 8910, 101, 7824, 35, 2177, 291, 4323, 26, 35, 27, 203, 823, 26881, 8695, 1923, 271, 26, 7314, 711, 284, 665, 6612, 26, 784, 711, 291, 1459, 313, 1318, 7645, 1620, 101, 432, 16998, 364, 4211, 1282, 588, 36, 39, 1159, 4691, 2381, 1370, 17692, 461, 25977, 20, 291, 1459, 313, 8761, 9449, 2020, 105, 32, 225, 2448, 884, 322, 2401, 34511, 10669, 5809, 461, 1370, 2401, 20, 291, 1459, 313, 1703, 438, 372, 622, 322, 1168, 33367, 42670, 323, 15140, 645, 322, 2688, 27753, 28824, 628, 2360, 291, 1459, 313, 524, 561, 328, 322, 20196, 30, 461, 46882, 322, 17692, 973, 2685, 7867, 1991, 600, 313, 291, 1459, 313, 11731, 6860, 3107, 291, 1459, 2706, 96, 20, 291, 1459, 313, 4282, 4484, 3974, 2835, 322, 19109, 6674, 1923, 271, 372, 322, 2688, 27753, 28824, 628, 1412, 20, 291, 1459, 313, 83, 7645, 1620, 44622, 963, 30, 3346, 5892, 107, 25449, 30, 12045, 485, 344, 1772, 28901, 349, 30, 461, 7050, 335, 281, 741, 96, 7847, 2081, 20, 291, 1459, 313, 1867, 299, 6835, 6697, 420, 332, 15732, 3361, 32, 225, 4389, 1182, 21154, 322, 17994, 372, 322, 20, 291, 1459, 313, 16883, 628, 461, 2625, 372, 5083, 312, 24637, 372, 323, 2135, 844, 3107, 291, 1459, 313, 8197, 1098, 844, 745, 12791, 291, 1459, 313, 2005, 35246, 11555, 291, 1459, 313, 2005, 35673, 300, 11555, 291, 1459, 313, 2005, 27787, 312, 8725, 479, 20, 291, 2125, 280, 5081, 81, 1131, 30554, 7788, 291, 415, 2125, 610, 313, 15251, 19, 563, 324, 1459, 313, 14325, 544, 322, 5171, 844, 533, 1369 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 10, 10, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 5, 9, 9, 9, 9, 8, 8, 11, 11, 10, 11, 10, 6, 6, 9, 9, 8, 8, 11, 12, 12, 12, 10, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 4, 4, 8, 8, 7, 8, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 7, 8, 8, 6, 8, 8, 9, 8, 8, 11, 13, 12, 13, 13, 11, 10, 8, 4, 4, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 4, 4, 5, 8, 7, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 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, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 4, 4, 5, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 8, 8, 8, 10, 4, 4, 5, 6, 6, 8, 8, 8, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 3, 3, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 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, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 4, 4, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 4, 4, 5, 0, 2, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 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, 2, 4, 4, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 10, 1, 1, 1, 1, 1, 4, 4, 11, 1, 1, 1, 4, 4, 12, 1, 1, 1, 1, 4, 4, 13, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 4, 4, 15, 1, 1, 1, 1, 2, 15, 15, 0, 1, 1, 1, 1, 1, 1, 1 ]
[ 823, 7703, 4216, 5756, 26, 1473, 711, 284, 47459, 2893, 280, 1524, 203, 2184, 44, 334, 803, 81, 2816, 44, 284, 3048, 44, 397, 429, 12029, 1330, 5008, 372, 1346, 3298, 30, 1755, 793, 439, 26, 1163, 81, 761, 27, 619, 1509, 461, 5582, 32, 284, 1244, 44, 901, 284, 827, 44, 1560, 284, 1503, 81, 11043, 44, 313, 36, 32, 38, 20, 334, 1359, 81, 761, 44, 284, 3048, 44, 397, 429, 5380, 372, 3488, 803, 32, 11526, 1412, 439, 26, 761, 81, 2816, 27, 438, 2933, 32, 284, 1503, 81, 11043, 44, 313, 36, 32, 38, 20, 334, 3408, 44, 284, 3048, 44, 397, 429, 19009, 322, 13569, 15871, 556, 4600, 2965, 436, 22422, 372, 322, 6562, 27474, 3945, 3298, 32, 11526, 1412, 439, 26, 761, 81, 2816, 27, 438, 3177, 32, 334, 952, 44, 284, 3048, 44, 397, 429, 3383, 3009, 322, 952, 1654, 372, 21307, 372, 322, 6562, 3298, 32, 11526, 1412, 439, 26, 761, 81, 2816, 27, 438, 2933, 32, 334, 3882, 44, 284, 3048, 44, 397, 429, 19009, 322, 3882, 1654, 372, 21307, 372, 322, 6562, 3298, 32, 11526, 1412, 439, 26, 761, 81, 2816, 27, 438, 2933, 32, 334, 5868, 44, 284, 3048, 44, 397, 429, 20955, 328, 6791, 436, 22422, 372, 322, 6562, 3298, 32, 284, 1244, 44, 225, 40, 34, 334, 354, 4722, 44, 284, 3048, 44, 397, 429, 19009, 544, 1510, 354, 4722, 372, 4871, 3488, 334, 12780, 44, 284, 3048, 44, 397, 429, 1348, 2793, 1098, 5749, 322, 2297, 372, 1487, 312, 12780, 432, 291, 322, 1550, 390, 26, 10333, 31, 1163, 27, 645, 322, 6562, 3298, 2670, 1346, 291, 3404, 884, 5590, 32, 225, 886, 12780, 803, 438, 6638, 372, 322, 595, 26, 10181, 27, 291, 4844, 32, 284, 1244, 44, 1289, 284, 16682, 44, 2107, 7134, 370, 330, 1347, 785, 334, 12780, 81, 983, 44, 284, 3048, 44, 397, 429, 19009, 2154, 372, 2968, 12780, 2276, 32, 11526, 415, 439, 26, 10181, 47, 7134, 547, 334, 12780, 81, 3607, 44, 284, 3048, 44, 397, 429, 19009, 322, 12780, 4870, 32, 1670, 24143, 4870, 1098, 526, 291, 14186, 2124, 35733, 81, 1163, 32, 18103, 31, 2826, 31, 2918, 50, 12993, 44, 2826, 44, 1706, 203, 2993, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 465, 22977, 203, 1070, 29590, 1188, 8664, 86, 1433, 203, 1070, 1795, 2157, 32, 9331, 32, 7621, 32, 1358, 81, 464, 81, 19013, 1188, 4166, 81, 19013, 81, 452, 81, 2024, 81, 983, 203, 1070, 816, 1647, 32, 1647, 2157, 1188, 7703, 2780, 2759, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2297, 2157, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 11025, 81, 2304, 1188, 7703, 2780, 7233, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 22509, 2214, 203, 823, 14685, 1934, 33981, 26, 2459, 2780, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 6166, 1934, 33981, 30, 630, 547, 23741, 346, 291, 630, 32, 2157, 280, 2297, 2157, 922, 81, 371, 81, 1647, 2157, 81, 1170, 81, 681, 26, 2459, 2780, 2759, 32, 620, 32, 17022, 27, 291, 630, 32, 1433, 81, 1515, 280, 8664, 86, 1433, 346, 291, 630, 32, 669, 20253, 26, 615, 1040, 32, 100, 41718, 30, 630, 32, 1433, 81, 1515, 27, 291, 630, 32, 2232, 81, 7632, 280, 22509, 2214, 32, 1297, 26, 324, 1086, 347, 858, 392, 8419, 347, 7632, 35, 392, 2503, 81, 426, 347, 1945, 35, 392, 1244, 81, 2157, 47, 2459, 2780, 2759, 32, 620, 32, 17022, 291, 829, 291, 630, 32, 3090, 81, 7632, 280, 22509, 2214, 32, 1297, 26, 324, 1086, 347, 858, 392, 8419, 347, 7632, 36, 392, 2503, 81, 426, 347, 1945, 36, 392, 1244, 81, 2157, 47, 2459, 2780, 2759, 32, 620, 32, 17022, 291, 829, 284, 665, 894, 81, 1358, 81, 464, 81, 19013, 26, 784, 711, 291, 32751, 30, 3803, 81, 1358, 81, 19013, 280, 4166, 81, 19013, 81, 452, 81, 2024, 81, 983, 26, 784, 32, 1433, 81, 1515, 27, 291, 630, 32, 5299, 26, 1657, 26, 19013, 471, 225, 36, 27, 291, 630, 32, 5299, 26, 1657, 26, 7815, 81, 1358, 81, 19013, 471, 225, 34, 27, 291, 3100, 81, 7632, 81, 314, 280, 630, 32, 3090, 81, 7632, 32, 314, 291, 630, 32, 2157, 32, 4170, 32, 1877, 26, 324, 5053, 81, 314, 32, 1088, 950, 3100, 81, 7632, 81, 314, 32, 1088, 30, 7610, 314, 32, 7632, 950, 3100, 81, 7632, 81, 314, 32, 7632, 30, 7610, 314, 32, 426, 950, 3100, 81, 7632, 81, 314, 32, 1945, 835, 324, 5053, 22, 470, 950, 5053, 4519, 32, 3963, 950, 330, 28271, 21028, 291, 829, 291, 32751, 30, 3803, 81, 1358, 81, 19013, 280, 4166, 81, 19013, 81, 452, 81, 2024, 81, 983, 26, 784, 32, 1433, 81, 1515, 27, 291, 630, 32, 5299, 26, 1657, 26, 19013, 471, 225, 36, 27, 291, 630, 32, 5299, 26, 1657, 26, 7815, 81, 1358, 81, 19013, 471, 225, 35, 27, 291, 630, 32, 5299, 26, 7815, 81, 1358, 81, 19013, 77, 34, 614, 15390, 26, 3090, 81, 7632, 81, 314, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 11, 11, 11, 10, 11, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 7, 9, 9, 8, 9, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 8, 9, 8, 8, 8, 9, 11, 11, 8, 9, 11, 11, 11, 8, 10, 10, 9, 11, 11, 11, 8, 10, 10, 9, 12, 12, 12, 11, 12, 10, 11, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 8, 9, 8, 8, 8, 9, 11, 11, 8, 9, 11, 11, 11, 8, 10, 10, 9, 11, 11, 11, 8, 10, 10, 9, 12, 12, 12, 11, 12, 10, 11, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 10, 10, 10, 10, 10, 9, 7, 8, 7, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 7, 8, 4, 4, 9, 10, 8, 9, 7, 8, 7, 7, 7, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 10, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 10, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 10, 11, 8, 7, 7, 11, 11, 11, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 4, 4, 7, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 10, 10, 10, 10, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 8, 7, 9, 10, 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 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 0, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 0, 0, 5, 1, 1, 2, 1, 0, 0, 7, 0, 0, 0, 0, 2, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 0, 0, 5, 1, 1, 2, 1, 0, 0, 7, 0, 0, 0, 0, 2, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 3, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 5, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 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 ]
[ 465, 5741, 203, 1070, 6765, 17594, 32, 3527, 1188, 345, 1269, 11849, 203, 1070, 6765, 17594, 32, 3527, 32, 38658, 1188, 308, 284, 14558, 81, 1197, 1752, 30, 14558, 81, 1675, 722, 30, 14558, 81, 6664, 30, 14558, 81, 13236, 30, 390, 33391, 3033, 30, 284, 38604, 81, 9682, 81, 10115, 81, 19542, 30, 38604, 81, 9682, 81, 10115, 81, 5875, 27, 203, 1070, 6765, 17594, 32, 913, 1188, 24884, 81, 34381, 2123, 2045, 30, 24884, 81, 1852, 58, 17031, 1675, 780, 30, 38604, 81, 10115, 527, 11789, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 29718, 81, 18702, 81, 1407, 81, 11838, 69, 280, 301, 6103, 81, 1197, 1752, 44, 313, 20068, 1484, 392, 14558, 81, 1675, 722, 44, 313, 30866, 1484, 392, 1750, 14558, 81, 13236, 44, 313, 4741, 1791, 3966, 392, 14558, 81, 6664, 44, 313, 2527, 3612, 203, 29718, 81, 11838, 69, 81, 1407, 81, 18702, 280, 3447, 20068, 1484, 563, 14558, 81, 1197, 1752, 30, 313, 30866, 1484, 563, 14558, 81, 1675, 722, 30, 1750, 313, 4741, 1791, 3966, 563, 14558, 81, 13236, 30, 313, 2527, 563, 14558, 81, 6664, 111, 203, 589, 4705, 81, 5134, 26, 31667, 30, 1359, 30, 1015, 81, 13204, 30, 21067, 81, 1338, 47, 2521, 711, 284, 415, 21067, 81, 1338, 438, 1665, 44, 291, 442, 284, 21910, 3742, 280, 35741, 32, 605, 32, 371, 26, 43806, 11849, 32, 11838, 69, 13309, 6535, 81, 32284, 24831, 27, 284, 415, 646, 21910, 3742, 44, 291, 442, 284, 436, 16686, 328, 21910, 3742, 44, 291, 415, 1897, 26, 10419, 32, 5721, 81, 1648, 27, 333, 225, 35, 32, 39, 44, 324, 4036, 291, 9952, 280, 16686, 32, 913, 32, 21430, 291, 739, 81, 2403, 280, 16686, 32, 913, 32, 885, 7635, 291, 1992, 81, 2269, 81, 2516, 280, 301, 324, 9952, 32, 69, 81, 21057, 1186, 44, 428, 470, 81, 2403, 32, 72, 81, 21057, 1186, 81, 18118, 81, 6103, 614, 291, 320, 291, 9241, 280, 2149, 291, 16686, 32, 5134, 81, 18931, 32, 1689, 26, 43806, 11849, 32, 7132, 81, 4383, 81, 5792, 26, 324, 1992, 81, 2269, 81, 2516, 30, 9241, 30, 1015, 81, 13204, 30, 4300, 47354, 21057, 1186, 490, 203, 823, 4300, 47354, 21057, 1186, 26, 43806, 11849, 32, 3758, 47354, 3033, 2216, 30, 390, 33391, 3033, 711, 284, 477, 2433, 284, 665, 20968, 81, 1293, 26, 784, 711, 291, 442, 630, 32, 10419, 32, 8311, 5401, 284, 477, 2433, 284, 665, 13587, 81, 2243, 26, 784, 711, 291, 442, 308, 10115, 81, 34381, 2123, 2045, 400, 415, 630, 32, 10419, 32, 7263, 813, 24884, 81, 1852, 58, 17031, 1675, 780, 27, 284, 477, 2433, 284, 665, 1550, 81, 17473, 26, 784, 711, 291, 442, 630, 1114, 2810, 32, 371, 26, 784, 32, 10419, 32, 913, 32, 885, 7635, 32, 72, 81, 10115, 27, 284, 477, 2433, 284, 665, 1760, 81, 17473, 26, 784, 711, 291, 739, 81, 2403, 280, 630, 32, 10419, 32, 913, 32, 885, 7635, 291, 415, 739, 81, 2403, 32, 72, 81, 21057, 1186, 81, 2695, 9864, 81, 1197, 1752, 328, 630, 1114 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 3, 5, 5, 5, 4, 4, 6, 6, 6, 3, 3, 5, 5, 4, 4, 6, 6, 6, 6, 3, 5, 5, 4, 4, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 4, 5, 5, 5, 3, 3, 6, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 4, 5, 5, 3, 3, 6, 6, 4, 5, 5, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 5, 5, 4, 4, 3, 3, 3, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 6, 2, 2, 3, 4, 5, 3, 3, 3, 2, 2, 3, 3, 3, 4, 3, 3, 3, 5, 8, 10, 9, 10, 10, 10, 8, 6, 6, 7, 7, 7, 5, 5, 5, 4, 4, 6, 6, 8, 9, 7, 8, 4, 4, 7, 7, 6, 6, 8, 9, 7, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 9, 10, 10, 10, 10, 8, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 11, 9, 7, 7, 4, 4, 6, 6, 4, 4, 8, 9, 9, 9, 7, 8, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 9, 10, 10, 10, 10, 9, 9, 9, 9, 10, 10, 9, 9, 10, 10, 10, 9, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 9, 9, 9, 9, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 9, 9, 9, 9, 9, 9, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 8, 9, 8, 13, 12, 13, 11, 12, 10, 11, 11, 9, 10, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 8, 9, 9, 5, 5, 6, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 2, 2, 0, 0, 5, 5, 1, 1, 1, 2, 2, 0, 0, 7, 7, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 0, 7, 7, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 7, 7, 0, 0, 0, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 5, 5, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 5, 5, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 7, 1, 0, 8, 8, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 8, 8, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 4, 4, 4, 4, 4, 4, 1, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 4, 4, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 5741, 203, 465, 1133, 203, 465, 2192, 203, 1070, 273, 38200, 1188, 3363, 5837, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1270, 44, 284, 3218, 81, 11986, 81, 3106, 280, 3363, 5837, 1114, 11986, 284, 665, 16895, 81, 102, 38200, 81, 716, 5837, 2262, 291, 3363, 5837, 1114, 11986, 280, 32004, 318, 20041, 203, 7343, 44, 284, 645, 273, 38200, 32, 716, 5837, 1188, 439, 1752, 41540, 30, 30779, 59, 1752, 41540, 284, 3218, 81, 11986, 81, 3106, 280, 2192, 32, 929, 5812, 284, 443, 32004, 318, 20041, 59, 1752, 41540, 26, 20041, 59, 1752, 41540, 711, 291, 665, 7379, 26, 784, 30, 1115, 5321, 711, 324, 2599, 26, 17566, 318, 20041, 59, 1752, 41540, 30, 630, 547, 8788, 26, 3106, 47, 17566, 318, 20041, 1026, 1115, 5321, 27, 284, 665, 16895, 81, 102, 38200, 81, 716, 5837, 2262, 291, 439, 1752, 41540, 32, 7799, 26, 17566, 318, 20041, 59, 1752, 41540, 27, 203, 823, 32004, 318, 20041, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 1114, 44601, 280, 3218, 81, 11986, 81, 3106, 346, 291, 630, 1114, 5571, 280, 1605, 291, 630, 1114, 2135, 81, 1216, 280, 225, 34, 284, 665, 1156, 32110, 3207, 784, 30, 636, 711, 291, 442, 18623, 26, 784, 1114, 44601, 30, 636, 27, 284, 665, 17850, 26, 784, 30, 5868, 711, 291, 415, 5868, 333, 225, 35, 87, 31, 37, 44, 324, 442, 630, 1114, 44601, 32, 11986, 26, 5457, 27, 291, 273, 34, 280, 1133, 32, 1003, 346, 291, 1056, 280, 630, 1114, 44601, 32, 11986, 26, 5457, 27, 291, 273, 35, 280, 1133, 32, 1003, 346, 291, 630, 1114, 5571, 32, 1689, 1162, 102, 34, 30, 273, 35, 490, 291, 2218, 630, 1114, 5571, 461, 630, 1114, 5571, 77, 34, 1674, 34, 79, 333, 273, 35, 429, 225, 40, 34, 44, 324, 630, 1114, 5571, 32, 3235, 26, 34, 27, 291, 415, 630, 1114, 5571, 461, 273, 35, 429, 630, 1114, 2135, 81, 1216, 2377, 225, 39, 44, 324, 3380, 280, 273, 35, 429, 630, 1114, 5571, 77, 34, 1674, 34, 79, 324, 328, 81, 11986, 280, 3632, 26, 84, 31, 83, 436, 312, 30, 84, 328, 630, 1114, 5571, 27, 324, 415, 3380, 848, 225, 34, 44, 400, 13720, 81, 20227, 280, 225, 35, 34, 34, 319, 308, 35, 429, 328, 81, 11986, 33, 2999, 27, 400, 415, 4070, 32, 2383, 11623, 2667, 556, 13720, 81, 20227, 848, 225, 36, 34, 44, 528, 5741, 32, 1338, 463, 70, 38200, 904, 39, 32, 35, 88, 1784, 23608, 2288, 322, 11169, 904, 38, 32, 35, 88, 6791, 25, 715, 904, 308, 11650, 81, 20227, 30, 3380, 490, 528, 630, 1114, 2135, 81, 1216, 280, 273, 35, 291, 442, 1056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 5, 5, 5, 5, 4, 4, 6, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 8, 7, 8, 6, 6, 7, 7, 1, 2, 2, 2, 2, 4, 6, 5, 6, 6, 4, 4, 6, 6, 4, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 5, 5, 6, 7, 7, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 4, 4, 6, 7, 8, 7, 7, 9, 7, 6, 6, 12, 13, 13, 13, 13, 13, 13, 12, 12, 12, 11, 10, 12, 11, 13, 13, 13, 13, 10, 12, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 9, 9, 8, 9, 8, 9, 9, 9, 9, 9, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 8, 9, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 7, 7, 7, 5, 5, 5, 7, 10, 11, 9, 10, 9, 10, 9, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9, 8, 8, 9, 8, 4, 4, 5, 7, 8, 6, 6, 10, 11, 9, 10, 9, 9, 8, 7, 7, 9, 8, 8, 9, 9, 5, 5, 5, 10, 11, 9, 10, 9, 10, 9, 4, 4, 5, 7, 8, 6, 6, 9, 8, 8, 9, 10, 10, 10, 7, 7, 8, 5, 5, 5, 8, 8, 10, 9, 9, 12, 13, 11, 12, 11, 11, 10, 6, 6, 9, 9, 8, 8, 10, 12, 11, 12, 10, 11, 12, 13, 11, 11, 12, 13, 10, 6, 6, 7, 8, 8, 9, 7, 7, 7, 11, 11, 10, 10, 12, 12, 12, 11, 11, 14, 13, 13, 15, 15, 14, 15, 12, 8, 8, 9, 11, 12, 12, 12, 10, 10, 12, 12, 11, 11, 12, 12, 9, 9, 9, 13, 14, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 14, 16, 16, 16, 15, 15, 15, 10, 10, 13, 14, 14, 14, 12, 12, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 6, 3, 3, 3, 3, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 5, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 5, 5, 5, 0, 2, 0, 2, 1, 1, 1, 4, 4, 6, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 3, 3, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 3, 2, 1, 3, 3, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 3, 3, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 0, 2, 4, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 1070, 28520, 32, 4275, 1188, 35603, 924, 203, 1070, 28520, 32, 5558, 32, 1141, 1188, 5245, 1761, 203, 1070, 28520, 32, 2304, 32, 4398, 1188, 1905, 203, 823, 5245, 2459, 26, 1711, 1761, 711, 284, 43128, 8915, 69, 81, 14137, 280, 3177, 284, 665, 1420, 26, 784, 30, 3691, 47, 2521, 30, 2899, 81, 6862, 47, 2665, 22805, 291, 44052, 280, 5436, 346, 291, 415, 630, 1114, 2795, 32, 1132, 44, 324, 436, 308, 93, 30, 354, 27, 328, 630, 1114, 2795, 32, 1132, 32, 40957, 2262, 400, 831, 280, 630, 1114, 1433, 4043, 32, 2387, 26, 93, 27, 400, 415, 6937, 26, 104, 30, 1695, 800, 27, 461, 354, 32, 5729, 346, 328, 2726, 1508, 370, 330, 1870, 370, 330, 7134, 370, 330, 1347, 7831, 528, 354, 280, 1905, 26, 104, 27, 400, 44052, 77, 93, 79, 280, 354, 291, 442, 5436, 26, 8968, 47, 2700, 30, 28520, 81, 37261, 47, 37261, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 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, 2, 3, 1, 1, 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, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 7, 7, 3, 3, 6, 6, 8, 4, 4, 5, 7, 8, 6, 7, 5, 5, 5, 7, 9, 8, 8, 8, 7, 7, 11, 12, 10, 11, 9, 10, 9, 7, 7, 10, 10, 13, 14, 14, 12, 13, 12, 13, 12, 8, 8, 9, 12, 13, 12, 12, 13, 12, 10, 10, 13, 14, 13, 11, 11, 14, 14, 12, 14, 14, 12, 14, 14, 12, 14, 14, 9, 9, 12, 12, 14, 15, 14, 8, 8, 11, 12, 11, 10, 10, 4, 4, 5, 7, 9, 8, 9, 7, 7, 9, 9, 8, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 0, 1, 1, 1, 0, 0, 1, 4, 4, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 5, 5, 0, 2, 0, 0, 0, 4, 4, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 25943, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 15390, 81, 30839, 203, 1070, 48885, 38, 1188, 34031, 203, 1070, 48885, 38, 1188, 10701, 2852, 203, 1070, 48885, 38, 32, 30609, 1188, 10701, 203, 1070, 48885, 38, 32, 30609, 1188, 27873, 203, 1070, 932, 83, 1188, 33382, 203, 1070, 932, 83, 1188, 5296, 203, 1070, 932, 83, 1188, 5839, 3732, 203, 1070, 932, 83, 1188, 5554, 28988, 203, 1070, 932, 83, 1188, 14309, 3494, 203, 1070, 932, 83, 1188, 18468, 203, 1070, 932, 83, 1188, 8745, 203, 1070, 932, 83, 1188, 28312, 2304, 203, 1070, 932, 83, 32, 28988, 1188, 3772, 2019, 203, 1070, 932, 83, 32, 2912, 1188, 5554, 203, 1070, 932, 83, 32, 91, 35, 42, 96, 1188, 489, 81, 203, 1070, 932, 83, 32, 21567, 1188, 35446, 203, 1070, 932, 83, 32, 3378, 1188, 2575, 203, 1070, 932, 83, 32, 3378, 32, 14304, 1188, 5575, 9335, 2711, 2780, 203, 1070, 932, 83, 32, 3378, 32, 14304, 1188, 5575, 9335, 1243, 203, 1070, 932, 83, 32, 3378, 32, 14304, 1188, 5575, 9335, 558, 1097, 203, 1070, 932, 83, 32, 3378, 32, 8319, 1188, 5025, 203, 1070, 932, 83, 32, 3378, 32, 8319, 1188, 7798, 81, 1160, 203, 1070, 932, 83, 32, 12035, 1188, 30213, 203, 1070, 932, 83, 32, 12035, 1188, 6216, 203, 1070, 932, 83, 32, 12035, 32, 1613, 18908, 1188, 2192, 81, 18908, 203, 1070, 932, 83, 32, 8524, 1188, 1044, 466, 203, 589, 1389, 3242, 81, 7128, 81, 3854, 26, 2544, 30, 1974, 47, 1815, 30, 4070, 47, 2521, 711, 284, 2202, 280, 14161, 26, 2544, 30, 1974, 47, 1877, 30, 4070, 47, 3550, 27, 284, 2202, 32, 3242, 32, 42764, 26, 7546, 9335, 1243, 26, 1071, 32, 3242, 490, 284, 2202, 32, 7925, 280, 14161, 1917, 26, 1071, 32, 3242, 27, 284, 415, 1974, 44, 291, 2202, 32, 3242, 32, 8188, 346, 284, 442, 2202, 203, 589, 1389, 3242, 81, 7128, 26, 1877, 47, 1815, 30, 4070, 47, 2521, 711, 284, 2202, 280, 1389, 3242, 81, 7128, 81, 3854, 26, 2521, 30, 1974, 47, 1877, 30, 4070, 47, 3550, 27, 284, 2202, 32, 2245, 346, 284, 442, 2202, 203, 823, 14161, 26, 9138, 32, 3763, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 30, 1974, 47, 1815, 30, 4070, 47, 2521, 711, 291, 6216, 32, 3763, 3667, 1664, 3207, 784, 30, 2935, 27, 291, 630, 32, 3550, 280, 4070, 291, 630, 32, 3242, 280, 28759, 34660, 26, 784, 27, 291, 630, 32, 1831, 3086, 280, 28312, 2304, 32, 90, 1501, 26, 15312, 32, 1347, 81, 4536, 30, 30213, 32, 10316, 30, 630, 32, 3242, 27, 291, 630, 32, 20136, 26, 784, 32, 1831, 3086, 27, 291, 630, 32, 3517, 26, 784, 30, 27873, 463, 6368, 346, 1425, 3486, 630, 1114, 6368, 81, 4383, 30, 10701, 32, 30719, 2798, 27, 291, 630, 32, 1160, 280, 2575, 32, 1160, 346, 291, 630, 32, 1160, 32, 669, 81, 21279, 26, 784, 32, 1160, 32, 1436, 81, 6368, 30, 630, 32, 1160, 81, 6368, 27, 291, 415, 2935, 438, 1665, 44, 324, 28312, 2304, 32, 669, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 6, 7, 5, 6, 5, 7, 7, 7, 7, 9, 8, 9, 7, 2, 2, 5, 6, 4, 4, 6, 6, 8, 7, 8, 6, 2, 2, 3, 3, 3, 3, 8, 9, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 9, 11, 11, 11, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 9, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 5, 6, 6, 5, 5, 5, 10, 9, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 6, 6, 0, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 0, 9, 9, 0, 0, 10, 10, 0, 10, 10, 0, 11, 11, 0, 11, 11, 0, 12, 12, 0, 12, 12, 0, 0, 13, 13, 0, 1, 2, 13, 13, 0, 0, 14, 14, 0, 1, 2, 14, 14, 0, 15, 15, 0, 1, 2, 2, 2, 2, 15, 15, 0, 0, 16, 16, 0, 1, 2, 16, 16, 0, 17, 17, 0, 1, 2, 17, 17, 0, 18, 18, 0, 1, 2, 1, 4, 18, 18, 0, 0, 0, 0, 19, 19, 0, 1, 2, 1, 4, 19, 19, 0, 0, 0, 20, 20, 0, 1, 2, 1, 4, 20, 20, 0, 0, 0, 0, 21, 21, 0, 1, 2, 1, 4, 21, 21, 0, 22, 22, 0, 1, 2, 1, 4, 22, 22, 0, 0, 0, 23, 23, 0, 1, 2, 23, 23, 0, 24, 24, 0, 1, 2, 24, 24, 0, 25, 25, 0, 1, 2, 1, 4, 4, 25, 25, 0, 0, 0, 26, 26, 0, 1, 2, 26, 26, 0, 0, 27, 27, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 27, 27, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 3, 3, 3, 3, 0, 2, 0, 2, 1, 4, 4, 4, 0, 28, 28, 1, 1, 1, 2, 0, 1, 2, 2, 2, 3, 2, 2, 28, 28, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 1, 4, 4, 2, 0, 29, 29, 2, 0, 1, 2, 2, 29, 29, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 2, 1, 1, 7, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 8, 1, 1, 8, 8, 8, 0, 0, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 203, 1070, 14785, 32, 2958, 32, 2837, 2255, 32, 2304, 1188, 827, 81, 1553, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 894, 81, 1040, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 823, 2768, 2140, 1006, 26, 858, 32, 7233, 711, 334, 665, 894, 81, 17615, 26, 784, 711, 284, 630, 32, 6549, 26, 681, 81, 1553, 32, 297, 81, 6800, 26, 8662, 81, 520, 32, 8662, 2009, 35, 30, 225, 36, 30, 225, 37, 25200, 284, 630, 32, 6549, 26, 291, 827, 81, 1553, 32, 297, 81, 6800, 26, 858, 81, 1040, 32, 9578, 32, 3818, 2009, 35, 30, 225, 36, 30, 225, 37, 25200, 284, 630, 32, 6549, 26, 291, 827, 81, 1553, 32, 297, 81, 6800, 26, 324, 894, 81, 1040, 32, 955, 81, 4156, 32, 10335, 26, 858, 81, 1040, 32, 48507, 32, 1808, 37, 36, 2610, 284, 630, 32, 14846, 26, 681, 81, 1553, 32, 297, 81, 6800, 26, 37, 490, 284, 630, 32, 14846, 26, 681, 81, 1553, 32, 297, 81, 6800, 26, 10337, 32, 14748, 26, 37, 2610, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 894, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 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, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 9, 12, 12, 12, 11, 12, 11, 13, 12, 12, 13, 12, 12, 13, 12, 4, 4, 7, 8, 7, 7, 7, 10, 10, 9, 10, 10, 10, 9, 13, 13, 13, 12, 13, 11, 12, 11, 13, 12, 12, 13, 12, 12, 13, 12, 4, 4, 7, 8, 7, 7, 7, 10, 10, 9, 10, 10, 10, 9, 9, 9, 13, 13, 12, 13, 13, 13, 11, 12, 11, 14, 14, 14, 13, 14, 12, 13, 13, 13, 11, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 4, 4, 7, 8, 7, 10, 10, 10, 9, 10, 10, 10, 9, 12, 11, 12, 11, 12, 11, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 2, 1, 4, 4, 1, 6, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 9, 9, 0, 0, 1, 1, 1, 1, 9, 9, 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 ]
[ 1070, 8527, 32, 7491, 1188, 11550, 203, 1070, 8527, 32, 1262, 1188, 11146, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 20719, 203, 1070, 8527, 32, 858, 1188, 19205, 30, 2684, 81, 3550, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 6870, 81, 6191, 280, 11550, 32, 371, 81, 725, 81, 1163, 463, 20119, 81, 28771, 683, 203, 2883, 81, 63, 1434, 19563, 81, 12896, 280, 2107, 725, 81, 1163, 370, 330, 38974, 370, 330, 17107, 370, 330, 908, 785, 203, 63, 1434, 19563, 81, 20528, 280, 330, 1536, 25, 203, 63, 1434, 19563, 81, 22841, 2636, 2917, 280, 225, 35, 203, 63, 1434, 19563, 81, 5451, 13024, 280, 3177, 203, 823, 7474, 41590, 12698, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1851, 81, 4680, 280, 225, 34, 291, 630, 32, 1851, 81, 1132, 280, 1665, 284, 665, 1156, 1851, 3207, 784, 30, 7060, 30, 7045, 30, 1115, 5321, 711, 291, 630, 32, 1851, 81, 4680, 280, 630, 32, 1851, 81, 4680, 474, 225, 35, 291, 630, 32, 1851, 81, 1132, 280, 10306, 203, 823, 8513, 1043, 12698, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1851, 81, 4680, 280, 225, 34, 291, 630, 32, 1851, 81, 1132, 280, 1665, 284, 665, 1156, 1851, 3207, 784, 30, 7060, 30, 7045, 30, 1115, 5321, 711, 291, 415, 10306, 710, 908, 785, 610, 488, 1434, 19563, 81, 20528, 44, 324, 630, 32, 1851, 81, 4680, 280, 630, 32, 1851, 81, 4680, 474, 225, 35, 324, 630, 32, 1851, 81, 1132, 280, 10306, 324, 20719, 32, 1001, 81, 20119, 32, 18235, 26, 1001, 81, 20119, 81, 16097, 30, 7045, 47, 6870, 81, 6191, 27, 203, 1001, 81, 20119, 81, 16097, 280, 8513, 1043, 12698, 346, 203, 28771, 32, 1001, 81, 20119, 32, 3517, 26, 1001, 81, 20119, 81, 16097, 30, 7045, 47, 6870, 81, 6191, 27, 203, 823, 41665, 10760, 4470, 26, 7233, 711, 284, 3304, 81, 7491, 280, 2107, 20119, 81, 28771, 785, 284, 665, 894, 81, 1001, 81, 20119, 81, 1851, 81, 1003, 26, 784, 711, 291, 630, 32, 5299, 26, 1001, 81, 20119, 81, 16097, 32, 1851, 81, 4680, 30, 225, 35, 27, 284, 665, 894, 81, 1001, 81, 20119, 81, 1132, 26, 784, 711, 291, 540, 280, 7474, 41590, 12698, 346, 291, 20719, 32, 1001, 81, 20119, 32, 3517, 26, 100, 30, 7045, 47, 6870, 81, 6191, 27, 291, 11146, 32, 1851, 81, 2501, 463, 20119, 370, 3500, 47, 63, 1434, 19563, 81, 20528, 30, 324, 39451, 47, 63, 1434, 19563, 81, 22841, 2636, 2917, 30, 18978, 47, 63, 1434, 19563, 81, 5451, 13024, 30, 324, 12532, 47, 25931, 32, 652, 2338, 1157, 291, 2181, 280, 540, 32, 1851, 81, 1132, 291, 630, 32, 5299, 26, 100, 32, 1851, 81, 4680, 30, 225, 35, 27, 291, 630, 32, 5299, 26, 470, 26, 1132, 471, 739, 26, 2883, 81, 63, 1434, 19563, 81, 12896, 490, 291, 630, 32, 5299, 26, 1132, 710, 725, 81, 1163, 2188, 16597, 81, 6191, 27, 291, 630, 32, 5299, 26, 1132, 710, 38974, 2188, 488, 1434 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 7, 7, 8, 4, 4, 7, 8, 8, 8, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 5, 7, 9, 9, 6, 6, 7, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 11, 11, 11, 9, 9, 10, 6, 6, 9, 10, 10, 10, 8, 8, 6, 6, 10, 11, 11, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 9, 10, 11, 11, 11, 9, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 5, 4, 5, 5, 5, 3, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 8, 9, 9, 9, 9, 9, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 9, 7, 7, 7, 8, 11, 10, 11, 11, 10, 4, 4, 6, 6, 7, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 8, 8, 7, 4, 4, 7, 8, 7, 9, 8, 10, 10, 7, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 0, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 7, 2, 2, 2, 2, 2, 2, 1, 1, 1, 9, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3 ]
[ 465, 5237, 203, 465, 16539, 203, 325, 5237, 32, 1648, 81, 1338, 77, 34, 79, 333, 225, 37, 44, 284, 281, 13394, 280, 15390, 203, 1824, 44, 284, 665, 372, 81, 3310, 42, 26, 101, 711, 291, 442, 309, 32, 5460, 440, 3310, 31, 42, 392, 3878, 280, 330, 3227, 683, 284, 281, 13394, 280, 372, 81, 3310, 42, 203, 589, 622, 81, 19370, 81, 13411, 26, 983, 347, 10280, 284, 12532, 280, 3330, 284, 1596, 44, 291, 298, 280, 16539, 32, 45606, 440, 19370, 1648, 429, 96, 25937, 101, 21328, 904, 1519, 30, 9073, 47, 1815, 30, 225, 6035, 12532, 47, 27958, 32, 18165, 30, 16154, 47, 27958, 32, 18165, 27, 291, 308, 9362, 30, 16154, 27, 280, 298, 32, 508, 48275, 346, 284, 2940, 44, 291, 442, 3330, 3701, 415, 12532, 44, 4456, 12532, 280, 281, 13394, 26, 9362, 27, 4456, 415, 2884, 313, 328, 12532, 27, 556, 308, 9362, 610, 313, 39509, 10280, 4288, 442, 3330, 291, 813, 44, 324, 442, 4825, 100, 20, 474, 12532, 284, 813, 44, 4456, 442, 3330, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 5, 5, 5, 3, 4, 3, 2, 2, 3, 1, 1, 1, 5, 4, 4, 1, 2, 2, 2, 2, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 9, 11, 11, 3, 3, 6, 5, 5, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 5, 1, 1, 4, 4, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 11, 11, 11, 11, 11, 11, 12, 9, 9, 8, 8, 9, 10, 8, 8, 8, 8, 9, 11, 10, 11, 8, 8, 9, 11, 10, 11, 8, 4, 4, 8, 7, 7, 7, 6, 6, 8, 9, 9, 8, 3, 3, 4, 4, 4, 6, 2, 2, 3, 3, 3, 3, 6, 6, 8, 8, 9, 8, 4, 4, 5, 10, 8, 8, 7, 6, 6, 9, 8, 8, 10, 10, 5, 5, 7, 5, 5, 6, 6, 6, 8, 11, 11, 9, 9, 3, 3, 4, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 4, 4, 4, 4, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 0, 1, 1, 3, 3, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 5, 0, 2, 2, 1, 1, 7, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 3, 0, 4, 4, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 4, 4, 4, 0, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 7138, 203, 1070, 8527, 32, 1262, 32, 2536, 32, 30939, 761, 1188, 7155, 32945, 974, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 8538, 1188, 308, 284, 7687, 1176, 30, 2032, 1176, 30, 3720, 30, 3678, 13860, 1176, 30, 3678, 1241, 30, 203, 27, 203, 1070, 8527, 32, 8538, 32, 3378, 1188, 3678, 1241, 3358, 32095, 203, 1070, 8527, 32, 858, 1188, 7155, 7233, 30, 19205, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 4377, 3378, 1188, 308, 284, 16241, 672, 1243, 30, 37438, 1176, 1243, 30, 37438, 1243, 30, 37438, 2828, 1243, 30, 16010, 30, 284, 2032, 1243, 30, 7051, 30, 5648, 6221, 13860, 1243, 30, 203, 27, 203, 823, 37438, 1176, 1241, 26, 1243, 1241, 711, 284, 443, 11985, 44, 291, 1542, 280, 37438, 1176, 1243, 291, 3829, 280, 11477, 464, 505, 25, 203, 823, 5648, 6221, 13860, 1243, 1241, 26, 1243, 1241, 711, 284, 443, 11985, 44, 291, 1542, 280, 5648, 6221, 13860, 1243, 291, 3829, 280, 11477, 464, 505, 25, 203, 823, 37438, 1176, 571, 13715, 1241, 26, 1243, 1241, 711, 284, 6959, 81, 11447, 280, 7687, 1176, 26, 1449, 81, 1322, 47, 39, 34, 27, 284, 443, 11985, 44, 291, 11246, 280, 2107, 6844, 81, 11447, 785, 291, 1542, 280, 37438, 1176, 1243, 203, 823, 14893, 2659, 2168, 13860, 1241, 26, 1243, 1241, 711, 284, 443, 11985, 44, 291, 1542, 280, 37438, 1243, 291, 3829, 280, 2107, 426, 370, 330, 11447, 785, 203, 823, 14893, 3061, 2168, 13860, 1241, 26, 1243, 1241, 711, 284, 443, 11985, 44, 291, 1542, 280, 37438, 1243, 291, 3829, 280, 2107, 426, 370, 330, 11447, 81, 5823, 785, 203, 823, 14893, 2659, 2168, 2521, 13860, 1241, 26, 1243, 1241, 711, 284, 443, 11985, 44, 291, 1542, 280, 37438, 1243, 291, 3829, 280, 2107, 426, 370, 330, 11447, 81, 800, 81, 105, 81, 4108, 785, 203, 823, 2032, 1241, 26, 1241, 711, 284, 803, 35, 280, 2032, 1176, 346, 203, 823, 2108, 15756, 35, 36, 39, 35, 34, 26, 7233, 711, 284, 5881, 2030, 438, 646, 7506, 372, 4450, 16682, 436, 3678, 13860, 1176, 308, 26460, 894, 436, 588, 35, 36, 39, 35, 34, 547, 5881, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 6332, 280, 428, 1564, 32, 5740, 32, 1297, 26, 426, 47, 426, 27, 436, 636, 328, 330, 8183, 785, 284, 665, 894, 81, 19833, 81, 1206, 81, 88, 18460, 81, 6036, 81, 1206, 81, 25502, 26, 784, 711, 291, 623, 630, 32, 862, 2567, 20919, 26, 35, 711, 324, 1600, 280, 3678, 13860, 1176, 26, 1564, 32, 5740, 32, 1174, 81, 1170, 12605, 426, 2847, 324, 630, 32, 5299, 463, 83, 370, 1600, 32, 6008, 26, 784, 32, 6332, 77, 34, 997, 3174, 547, 426, 27, 203, 823, 2108, 15756, 35, 38, 39, 40, 41, 26, 7233, 711, 284, 665, 894, 81, 2951, 81, 37741, 81, 601, 26, 784, 711, 291, 313, 2797, 312, 1542, 1182, 23864, 25034, 1176, 1401, 11771, 47, 1815, 461, 438, 7511, 623, 1289, 706, 30, 312, 36104, 438, 4717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 2, 2, 2, 2, 4, 4, 1, 2, 2, 1, 2, 2, 3, 4, 3, 4, 3, 4, 4, 2, 2, 4, 4, 1, 2, 2, 3, 4, 2, 2, 1, 2, 2, 3, 4, 2, 2, 2, 2, 4, 2, 2, 4, 2, 2, 2, 2, 4, 4, 2, 2, 4, 2, 2, 2, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 4, 4, 1, 2, 2, 3, 4, 2, 2, 4, 2, 2, 1, 2, 2, 3, 4, 2, 2, 1, 2, 2, 5, 2, 2, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 2, 2, 4, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 4, 4, 4, 2, 2, 2, 1, 2, 2, 3, 3, 3, 4, 4, 3, 2, 2, 4, 4, 4, 4, 7, 7, 8, 8, 5, 5, 7, 7, 9, 9, 9, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 4, 4, 4, 4, 7, 7, 8, 8, 8, 5, 5, 7, 7, 9, 9, 9, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 6, 6, 5, 5, 7, 7, 9, 9, 9, 8, 9, 9, 7, 3, 3, 4, 4, 4, 4, 7, 7, 10, 10, 10, 10, 5, 5, 7, 7, 8, 8, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 4, 4, 4, 4, 7, 7, 8, 5, 5, 7, 7, 10, 10, 8, 10, 10, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 4, 4, 4, 4, 7, 7, 8, 5, 5, 7, 7, 10, 10, 8, 10, 10, 10, 10, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 4, 4, 4, 4, 7, 7, 8, 5, 5, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 1, 2, 2, 3, 3, 4, 3, 2, 2, 6, 5, 5, 7, 7, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 7, 7, 12, 11, 12, 10, 11, 10, 12, 11, 12, 10, 8, 9, 9, 9, 11, 11, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 10, 11, 11, 11, 10, 11, 10, 6, 6, 9, 9, 11, 11, 11, 15, 14, 15, 13, 14, 14, 14, 13, 15, 15, 7, 7, 10, 11, 10, 12, 12, 10, 13, 14, 13, 17, 16, 17, 15, 16, 15, 15, 13, 12, 10, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 6, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 9, 9, 1, 1, 2, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 1, 1, 2, 0, 10, 10, 1, 1, 1, 1, 2, 1, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 0, 12, 12, 1, 1, 1, 1, 2, 1, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 1, 2, 2, 1, 2, 0, 13, 13, 1, 1, 1, 1, 2, 1, 1, 2, 13, 13, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 14, 14, 1, 1, 1, 1, 1, 2, 1, 1, 2, 14, 14, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 15, 15, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 1, 0, 16, 16, 1, 1, 1, 1, 1, 1, 2, 1, 2, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 3, 3, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 17, 17, 1, 1, 1, 1, 1, 1, 2, 1, 2, 17, 17, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 12526, 4560, 32, 6319, 1188, 3772, 203, 1070, 12526, 4560, 32, 6319, 1188, 6863, 203, 1070, 12526, 4560, 32, 6319, 32, 3378, 32, 5990, 1188, 12526, 203, 1070, 12526, 4560, 32, 6319, 32, 3378, 32, 1240, 620, 1188, 2680, 620, 203, 1070, 12526, 4560, 32, 6319, 32, 3378, 32, 1240, 1188, 2680, 203, 1070, 12526, 4560, 32, 6319, 32, 3378, 32, 1240, 5324, 1188, 2680, 5324, 203, 1070, 12526, 4560, 32, 6319, 32, 3378, 32, 15373, 1188, 30936, 203, 1070, 12526, 4560, 32, 6319, 32, 3378, 32, 61, 314, 1188, 1224, 314, 203, 1070, 12526, 4560, 32, 6319, 32, 3378, 32, 9746, 21921, 1188, 13913, 21921, 203, 1070, 12526, 4560, 32, 6319, 32, 3378, 32, 2924, 1188, 10634, 203, 1070, 12526, 4560, 32, 6319, 32, 3378, 32, 42229, 1188, 12426, 21234, 203, 589, 1487, 81, 4603, 2262, 284, 1459, 463, 19661, 3500, 645, 2702, 22718, 683, 284, 3772, 32, 4519, 32, 1297, 81, 464, 26, 3483, 27, 284, 12526, 3667, 1297, 81, 1536, 81, 4891, 16369, 284, 2680, 620, 3667, 1297, 81, 1536, 81, 4298, 16369, 284, 10343, 280, 428, 1240, 3667, 34426, 7642, 2680, 5324, 3667, 34426, 7642, 30936, 3667, 34426, 505, 291, 1717, 1224, 314, 3667, 34426, 7642, 13913, 21921, 3667, 34426, 7642, 10634, 3667, 34426, 7642, 1090, 12426, 21234, 3667, 34426, 505, 79, 284, 1459, 463, 4524, 7996, 436, 10343, 12454, 10343, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 1, 1, 5, 7, 7, 7, 7, 7, 7, 2, 2, 6, 7, 5, 6, 6, 6, 5, 6, 5, 2, 2, 5, 6, 6, 6, 6, 6, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 6, 7, 7, 5, 7, 6, 7, 7, 5, 6, 7, 7, 5, 5, 5, 7, 6, 7, 7, 5, 7, 6, 7, 7, 5, 6, 7, 7, 5, 5, 7, 6, 7, 7, 5, 2, 2, 5, 7, 7, 7, 7, 7, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 6, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 1, 6, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 1, 6, 6, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 1, 6, 6, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 6, 8, 8, 0, 0, 9, 9, 0, 1, 2, 1, 4, 1, 6, 9, 9, 0, 10, 10, 0, 1, 2, 1, 4, 1, 6, 10, 10, 0, 0, 11, 11, 1, 1, 2, 11, 11, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 2, 2, 2, 0, 3, 2, 2, 2, 5, 2, 2, 2, 2, 2, 0, 7, 2, 2, 2, 0, 9, 2, 2, 2, 11, 2, 2, 2, 2, 0, 13, 2, 2, 2, 4, 4, 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 ]
[ 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, 4573, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 13736, 500, 81, 38630, 81, 2393, 203, 9971, 81, 10270, 81, 9854, 44, 13736, 500, 203, 1648, 81, 11043, 44, 313, 36, 32, 36, 20, 203, 4021, 81, 2310, 44, 4784, 8522, 489, 2328, 9156, 32, 203, 2310, 44, 284, 429, 4784, 8522, 489, 2328, 9156, 32, 203, 2116, 44, 284, 429, 971, 3281, 516, 4025, 1588, 11931, 2709, 4025, 1588, 42, 27, 203, 8886, 44, 284, 429, 27859, 8187, 37353, 2636, 104, 225, 41, 32, 37, 10695, 34, 27, 54, 35, 26, 35, 27, 544, 35101, 2785, 284, 429, 1670, 390, 26, 1293, 47, 3596, 304, 471, 322, 2297, 1098, 11549, 372, 3345, 322, 2702, 1202, 3488, 32, 397, 1670, 312, 9215, 1202, 3488, 7735, 1330, 2431, 544, 322, 3298, 30, 322, 2297, 1098, 3547, 32, 284, 429, 1670, 390, 26, 1293, 47, 3596, 304, 27, 461, 390, 26, 11753, 47, 267, 471, 9156, 1098, 526, 21175, 2126, 32, 284, 429, 1670, 390, 26, 1293, 47, 3596, 304, 27, 461, 390, 26, 11753, 47, 1719, 471, 9156, 1098, 526, 21175, 544, 32, 203, 2184, 44, 284, 1202, 81, 314, 44, 291, 3048, 44, 324, 429, 14433, 1202, 7248, 308, 10125, 547, 291, 2129, 44, 861, 284, 8735, 39, 800, 44, 291, 3048, 44, 324, 429, 19165, 39, 892, 32, 291, 2129, 44, 861, 291, 1244, 44, 744, 284, 3796, 81, 681, 44, 291, 3048, 44, 324, 429, 14071, 322, 2702, 8735, 39, 800, 438, 328, 19035, 502, 407, 556, 1090, 1401, 2583, 15808, 32, 1670, 328, 19035, 502, 407, 30, 322, 3298, 1090, 1098, 18884, 561, 2670, 21544, 561, 32, 291, 2129, 44, 901, 291, 1244, 44, 1344, 291, 16682, 44, 2107, 878, 370, 330, 11294, 785, 284, 32886, 81, 678, 44, 291, 3048, 44, 324, 429, 14071, 322, 2702, 1202, 438, 2129, 372, 526, 13798, 810, 312, 1133, 1914, 1090, 436, 322, 3298, 372, 45629, 372, 322, 1133, 1914, 32, 291, 2129, 44, 901, 291, 1244, 44, 901, 291, 16682, 44, 2107, 1508, 370, 330, 1870, 785, 284, 9156, 44, 291, 3048, 44, 324, 429, 20349, 101, 489, 2328, 9156, 544, 556, 2126, 32, 291, 2129, 44, 901, 291, 1244, 44, 744, 291, 16682, 44, 2107, 267, 370, 330, 1719, 785, 284, 1603, 44, 291, 3048, 44, 324, 429, 31580, 322, 1603, 432, 322, 2869, 32, 291, 2129, 44, 901, 291, 1244, 44, 5024, 291, 16682, 44, 2107, 2689, 1195, 3596, 304, 785, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 9261, 489, 2328, 9156, 3488, 203, 31, 13736, 500, 81, 38630, 81, 2393, 44, 284, 1202, 81, 314, 44, 225, 37, 36, 284, 8735, 39, 800, 44, 17964, 284, 3796, 81, 681, 44, 1344, 203, 9592, 203, 10934, 280, 5881, 203, 7621, 44, 284, 3048, 44, 2016, 4618, 372, 322, 3298, 284, 4717, 44, 5182, 284, 827, 44, 1149, 284, 3964, 44, 3037, 38630, 9156, 31, 678 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 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, 4573, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 13736, 500, 81, 41111, 203, 9971, 81, 10270, 81, 9854, 44, 13736, 500, 203, 1648, 81, 11043, 44, 313, 36, 32, 36, 20, 203, 4021, 81, 2310, 44, 20462, 312, 31376, 2790, 27230, 556, 28926, 308, 57, 3900, 27, 432, 322, 3578, 32, 203, 2310, 44, 284, 429, 20462, 312, 31376, 2790, 27230, 556, 28926, 308, 57, 3900, 27, 432, 322, 3578, 32, 203, 2116, 44, 284, 429, 570, 360, 4063, 274, 16399, 1771, 97, 11931, 10633, 360, 4063, 274, 27, 203, 8886, 44, 284, 429, 27859, 8187, 37353, 2636, 104, 225, 41, 32, 37, 10695, 34, 27, 54, 35, 26, 35, 27, 544, 35101, 2785, 284, 429, 390, 26, 1293, 27, 1401, 5744, 1755, 328, 16579, 623, 397, 390, 26, 2946, 81, 2816, 81, 31277, 81, 5457, 27, 556, 397, 390, 26, 2946, 81, 2816, 81, 31277, 81, 267, 81, 13068, 81, 4534, 81, 10354, 547, 284, 429, 9606, 390, 26, 2946, 81, 2816, 81, 31277, 27, 461, 397, 390, 26, 2946, 81, 2816, 81, 31277, 81, 32607, 81, 5536, 81, 3959, 27, 2268, 1930, 322, 2297, 397, 3547, 30, 1273, 322, 2664, 2926, 1098, 526, 16791, 17688, 32, 203, 2184, 44, 284, 2664, 81, 2816, 81, 31277, 44, 291, 3048, 44, 324, 429, 5076, 390, 26, 2946, 81, 2816, 81, 31277, 47, 1508, 27, 561, 13856, 1169, 5887, 1090, 29234, 328, 24514, 2926, 308, 908, 322, 37456, 2016, 547, 1090, 5076, 390, 26, 2946, 81, 2816, 81, 31277, 47, 1870, 27, 561, 13856, 1169, 5887, 1090, 29234, 328, 4302, 2926, 308, 908, 322, 1289, 37456, 2016, 547, 291, 2129, 44, 901, 291, 1244, 44, 744, 291, 16682, 44, 2107, 1508, 1195, 1870, 785, 284, 2664, 81, 2816, 81, 31277, 81, 32607, 81, 5536, 81, 3959, 44, 291, 3048, 44, 324, 429, 5076, 390, 26, 2946, 81, 2816, 81, 31277, 81, 32607, 81, 5536, 81, 3959, 47, 1508, 27, 561, 1090, 29047, 322, 7094, 20286, 432, 5887, 29234, 461, 28329, 1090, 6350, 9577, 328, 312, 24514, 31, 2816, 6274, 32, 1090, 4417, 458, 2470, 415, 844, 2637, 322, 2664, 372, 793, 312, 24514, 31, 2816, 1090, 6274, 688, 844, 1159, 3272, 32, 1090, 5076, 390, 26, 2946, 81, 2816, 81, 31277, 81, 32607, 81, 5536, 81, 3959, 47, 1870, 27, 561, 1090, 29047, 322, 7094, 20286, 432, 5887, 29234, 461, 28329, 1090, 6350, 9577, 328, 312, 4302, 31, 2816, 6274, 32, 4417, 458, 2470, 415, 1090, 844, 2637, 322, 2664, 372, 793, 312, 4302, 31, 2816, 6274, 688, 1090, 844, 1159, 3272, 32, 291, 2129, 44, 901, 291, 1244, 44, 744, 291, 16682, 44, 2107, 1508, 1195, 1870, 785, 284, 2664, 81, 2816, 81, 31277, 81, 5457, 44, 291, 3048, 44, 324, 429, 19114, 101, 322, 3578, 328, 24514, 2926, 436, 312, 3191, 1090, 1451, 432, 10135, 32, 13091, 438, 225, 39, 31, 40, 39, 39, 37, 39, 32, 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 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 316, 203, 465, 5741, 203, 465, 312, 2358, 203, 1070, 2440, 542, 2598, 32, 2304, 1188, 1519, 203, 1070, 2440, 542, 2598, 32, 2304, 1188, 2164, 203, 1070, 2440, 542, 2598, 32, 2304, 1188, 4465, 203, 1070, 638, 1188, 6562, 203, 1070, 638, 1188, 8745, 81, 14481, 203, 1070, 638, 25396, 1188, 2719, 203, 1070, 638, 2304, 81, 22665, 1188, 570, 1996, 203, 1270, 44, 284, 1519, 32, 1809, 81, 2501, 440, 1356, 1848, 671, 657, 284, 15525, 72, 3900, 3187, 280, 313, 1356, 1848, 671, 20, 203, 7343, 1519, 32, 5276, 27981, 44, 284, 15525, 72, 3900, 3187, 280, 1665, 203, 823, 17442, 1848, 671, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3523, 47, 2521, 711, 291, 630, 32, 2848, 280, 3523, 291, 415, 630, 32, 2848, 44, 324, 630, 32, 7001, 81, 10340, 280, 6562, 32, 7313, 7981, 26, 2848, 47, 784, 32, 2848, 27, 324, 15684, 280, 630, 32, 7001, 81, 10340, 32, 1945, 291, 813, 44, 324, 15684, 280, 2164, 32, 1945, 291, 415, 15525, 72, 3900, 3187, 438, 1665, 44, 324, 5741, 32, 5691, 440, 6508, 1848, 671, 2719, 438, 646, 3304, 328, 3408, 30, 313, 1014, 313, 2304, 81, 1356, 1848, 671, 2297, 1098, 646, 667, 20165, 657, 291, 630, 32, 1356, 1848, 671, 280, 2719, 32, 2214, 32, 1297, 81, 2122, 26, 7655, 72, 3900, 3187, 30, 1420, 47, 10340, 27, 284, 665, 617, 1684, 81, 979, 81, 1366, 26, 784, 30, 5868, 47, 40, 34, 711, 291, 665, 617, 1553, 81, 1366, 2262, 324, 33870, 615, 81, 3515, 280, 313, 1848, 615, 1149, 20, 324, 1596, 44, 400, 415, 630, 32, 2848, 44, 528, 630, 32, 2848, 32, 3515, 26, 1848, 615, 81, 3515, 30, 5868, 47, 36, 27, 400, 813, 44, 528, 2164, 32, 1945, 26, 1848, 615, 81, 3515, 30, 5868, 47, 36, 27, 400, 442, 2933, 324, 2940, 3268, 44, 400, 442, 3177, 291, 442, 8745, 81, 14481, 32, 1684, 81, 979, 2176, 1553, 81, 1366, 30, 5868, 47, 5457, 27, 284, 665, 1477, 26, 784, 30, 5657, 81, 7815, 47, 1815, 711, 291, 415, 5657, 81, 7815, 44, 324, 630, 32, 1356, 1848, 671, 32, 4534, 81, 7815, 346, 291, 415, 646, 630, 32, 1356, 1848, 671, 32, 1366, 2262, 324, 442, 3177, 291, 442, 630, 1114, 1684, 81, 979, 81, 1366, 346, 284, 665, 4719, 26, 784, 711, 291, 442, 630, 32, 1356, 1848, 671, 32, 4048, 346, 284, 665, 11686, 26, 784, 30, 5657, 81, 7815, 47, 1815, 711, 291, 415, 5657, 81, 7815, 44, 324, 630, 32, 1356, 1848, 671, 32, 4534, 81, 7815, 346, 291, 415, 646, 630, 32, 1356, 1848, 671, 32, 17506, 2262, 324, 442, 3177, 291, 442, 630, 1114, 1684, 81, 979, 81, 1366, 346, 284, 665, 438, 81, 10333, 26, 784, 711, 291, 442, 630, 32, 1356, 1848, 671, 32, 1517, 346, 203, 823, 17442, 1848, 671, 3135, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 29310, 47, 2700, 30, 353, 5741, 81, 4531, 47, 2521, 30, 353, 5741, 81, 2132, 47, 1026, 353, 5741, 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, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 4, 4, 2, 2, 2, 6, 6, 6, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 6, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 11, 11, 10, 12, 11, 13, 12, 13, 10, 6, 6, 8, 8, 10, 11, 11, 11, 9, 10, 5, 5, 6, 6, 6, 9, 9, 10, 11, 4, 4, 5, 7, 7, 7, 6, 6, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 9, 8, 8, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 6, 4, 3, 3, 5, 6, 6, 6, 6, 5, 5, 9, 9, 9, 8, 8, 10, 10, 10, 10, 6, 6, 7, 7, 7, 9, 10, 11, 9, 9, 9, 14, 15, 13, 14, 13, 14, 14, 14, 14, 13, 13, 14, 15, 13, 9, 9, 10, 10, 10, 14, 15, 14, 15, 15, 15, 15, 14, 14, 15, 16, 14, 8, 8, 9, 7, 7, 8, 8, 8, 8, 10, 4, 4, 5, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 10, 11, 11, 11, 9, 10, 10, 10, 9, 4, 4, 5, 6, 9, 10, 10, 10, 8, 9, 8, 5, 5, 7, 4, 4, 5, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 10, 11, 11, 11, 9, 10, 10, 10, 9, 4, 4, 5, 6, 9, 10, 10, 10, 8, 9, 8, 5, 5, 7, 4, 4, 5, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 0, 0, 8, 8, 0, 8, 8, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 10, 10, 10, 10, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 10, 3, 3, 1, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 2, 2, 4, 4, 2, 0, 0, 0, 1, 1, 2, 2, 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, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 2, 2, 1, 1, 1, 3, 3, 3, 3, 0, 4, 4, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 4, 4, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 0, 2, 1, 4, 4, 4, 2, 1, 2, 2, 0, 0, 3, 2, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 4, 4, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 2, 2, 0, 2, 1, 0, 12, 12, 1, 1, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 1360, 203, 465, 5741, 203, 465, 2322, 203, 465, 5237, 203, 465, 29590, 203, 1070, 10773, 32, 8524, 1188, 5251, 81, 978, 2613, 30, 33846, 3951, 203, 1070, 10773, 32, 11452, 1188, 1683, 18871, 924, 203, 1070, 10773, 32, 2304, 1188, 308, 100, 41718, 30, 7660, 30, 438, 81, 1696, 30, 1673, 81, 297, 81, 1696, 30, 316, 4243, 30, 5556, 13316, 81, 983, 27, 203, 1070, 10773, 32, 2304, 32, 7490, 1188, 10525, 81, 751, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 1683, 3789, 1215, 885, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1673, 711, 291, 630, 32, 8478, 280, 739, 346, 291, 630, 1114, 612, 539, 280, 739, 346, 291, 630, 32, 3167, 280, 2149, 291, 630, 32, 2452, 280, 1673, 291, 630, 32, 2853, 81, 1515, 280, 1665, 291, 630, 1114, 5595, 81, 8478, 280, 1605, 284, 665, 617, 462, 13779, 26, 784, 30, 1519, 711, 291, 442, 438, 81, 1696, 26, 983, 27, 284, 665, 617, 3374, 81, 41758, 26, 784, 711, 291, 415, 646, 1673, 81, 297, 81, 1696, 26, 784, 32, 2452, 711, 324, 4082, 32, 1338, 26, 400, 313, 1337, 28870, 299, 904, 101, 821, 904, 101, 30, 11127, 4706, 904, 101, 392, 400, 630, 32, 2452, 32, 2250, 81, 426, 30, 400, 13316, 81, 983, 26, 784, 32, 2452, 32, 2645, 471, 400, 5237, 32, 4254, 30, 324, 829, 324, 442, 3177, 291, 442, 2933, 284, 665, 1015, 26, 784, 30, 1519, 711, 291, 1519, 280, 13316, 81, 983, 26, 983, 27, 291, 415, 646, 2322, 32, 983, 32, 4658, 26, 983, 711, 324, 442, 291, 415, 630, 1114, 462, 13779, 26, 983, 711, 324, 630, 32, 8478, 32, 669, 26, 983, 27, 291, 813, 44, 324, 630, 1114, 612, 539, 32, 669, 26, 983, 27, 291, 415, 2322, 32, 983, 32, 48271, 26, 983, 5594, 35, 79, 610, 5608, 978, 25, 461, 5251, 81, 978, 2613, 44, 324, 630, 32, 669, 26, 421, 32, 2613, 81, 1070, 81, 1855, 26, 983, 490, 284, 665, 1015, 81, 3167, 26, 784, 30, 298, 349, 81, 761, 30, 3414, 711, 291, 298, 349, 81, 761, 280, 13316, 81, 983, 26, 3167, 81, 761, 27, 291, 415, 630, 1114, 462, 13779, 26, 3167, 81, 761, 711, 324, 415, 298, 349, 81, 761, 646, 328, 630, 32, 3167, 44, 400, 630, 32, 3167, 77, 3167, 81, 761, 79, 280, 1683, 3789, 66, 349, 9915, 26, 3167, 81, 761, 27, 324, 630, 32, 3167, 77, 3167, 81, 761, 997, 669, 26, 3038, 27, 291, 813, 44, 324, 630, 1114, 612, 539, 32, 669, 26, 3167, 81, 761, 27, 284, 665, 15319, 26, 784, 30, 7842, 711, 291, 4504, 81, 8478, 280, 739, 346, 291, 436, 1519, 328, 8594, 26, 8478, 30, 1202, 47, 1657, 711, 324, 415, 646, 1346, 2009, 528, 308, 983, 32, 15990, 26, 4021, 983, 27, 461, 3486, 1519, 77, 1657, 26, 4021, 983, 32, 38848, 26, 500, 32, 983, 32, 12595, 12634, 610, 2322, 32, 983, 32, 12595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 1, 3, 3, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 4, 4, 7, 8, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 8, 8, 8, 8, 10, 9, 10, 8, 5, 5, 9, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 12, 10, 11, 11, 11, 9, 9, 9, 11, 11, 11, 14, 13, 14, 12, 13, 11, 9, 9, 10, 11, 9, 9, 9, 6, 6, 7, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 8, 9, 8, 4, 4, 5, 6, 9, 10, 8, 9, 8, 9, 8, 5, 5, 4, 4, 5, 7, 8, 8, 7, 8, 7, 5, 5, 10, 11, 9, 10, 9, 10, 9, 5, 5, 6, 6, 6, 11, 12, 12, 10, 11, 10, 11, 10, 4, 4, 5, 11, 12, 10, 11, 10, 11, 10, 9, 8, 7, 7, 9, 9, 6, 6, 7, 7, 7, 5, 5, 5, 9, 10, 9, 12, 11, 12, 12, 12, 12, 12, 11, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 7, 7, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 4, 4, 5, 7, 8, 8, 7, 8, 8, 8, 7, 5, 5, 7, 9, 9, 9, 8, 8, 8, 9, 10, 7, 7, 7, 12, 13, 11, 12, 12, 12, 11, 10, 10, 12, 12, 12, 12, 12, 13, 13, 13, 12, 6, 6, 11, 12, 10, 11, 11, 11, 10, 10, 9, 10, 9, 5, 5, 6, 6, 6, 11, 12, 12, 10, 11, 10, 11, 11, 11, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 9, 7, 5, 5, 7, 8, 10, 11, 11, 16, 15, 16, 15, 16, 16, 15, 13, 13, 13, 15, 17, 17, 20, 20, 19, 20, 19, 22, 21, 22, 20, 21, 19, 14, 14, 16, 17, 15, 16 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 3, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 7, 2, 1, 1, 1, 3, 3, 1, 4, 4, 1, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 3, 3, 3, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 5, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 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, 1524, 203, 1559, 203, 1647, 44, 13011, 500, 81, 3337, 203, 1648, 81, 11043, 44, 313, 36, 32, 37, 20, 203, 2116, 44, 313, 1045, 335, 1224, 46790, 488, 305, 1552, 318, 11754, 278, 4800, 404, 305, 1552, 318, 11754, 4731, 203, 4021, 81, 2310, 44, 31580, 13199, 544, 34230, 29939, 390, 2576, 69, 3984, 9241, 203, 2310, 44, 334, 429, 1348, 2297, 7367, 4497, 26240, 11146, 432, 45044, 284, 544, 34230, 29939, 390, 2576, 69, 3984, 9241, 32, 203, 8886, 44, 334, 429, 27859, 8187, 390, 2576, 69, 225, 35, 34, 32, 42, 32, 35, 203, 2184, 44, 334, 636, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 13199, 32, 284, 2129, 44, 861, 284, 1503, 81, 11043, 44, 313, 36, 32, 42, 20, 334, 3048, 44, 284, 3048, 44, 397, 429, 5591, 432, 13199, 32, 284, 1503, 81, 11043, 44, 313, 36, 32, 42, 20, 334, 5887, 44, 284, 3048, 44, 397, 429, 13199, 2552, 2287, 32, 284, 827, 44, 1560, 284, 1244, 44, 2933, 284, 1503, 81, 11043, 44, 313, 36, 32, 42, 20, 334, 8227, 44, 284, 3048, 44, 397, 429, 13199, 2552, 8227, 32, 284, 1503, 81, 11043, 44, 313, 36, 32, 42, 20, 334, 9811, 103, 44, 284, 3048, 44, 397, 429, 18690, 1334, 432, 24445, 6882, 32, 284, 1503, 81, 11043, 44, 313, 36, 32, 42, 20, 334, 21014, 1909, 44, 284, 3048, 44, 397, 429, 13199, 2552, 2287, 284, 1244, 44, 2267, 284, 16682, 44, 2107, 2620, 370, 330, 10894, 370, 330, 2837, 785, 284, 1503, 81, 11043, 44, 313, 36, 32, 42, 20, 334, 6486, 81, 3306, 44, 284, 3048, 44, 397, 429, 3556, 911, 7692, 328, 7030, 1292, 3100, 308, 42860, 547, 397, 429, 1348, 438, 1603, 1505, 3395, 1755, 32, 397, 429, 36311, 3700, 3528, 30, 2318, 498, 26, 5356, 3528, 328, 8159, 299, 25122, 30, 291, 11762, 4573, 33, 496, 81, 6732, 33, 4573, 81, 13578, 81, 1793, 81, 2501, 81, 2024, 32, 916, 27, 284, 1503, 81, 11043, 44, 313, 36, 32, 42, 20, 334, 14278, 81, 3306, 44, 284, 3048, 44, 397, 429, 43790, 7692, 328, 7030, 1292, 3100, 308, 42860, 547, 397, 429, 1348, 438, 1603, 1505, 3395, 1755, 32, 397, 429, 36311, 3700, 3528, 30, 2318, 498, 26, 5356, 3528, 328, 8159, 299, 25122, 30, 291, 11762, 4573, 33, 496, 81, 6732, 33, 4573, 81, 13578, 81, 1793, 81, 2501, 81, 2024, 32, 916, 27, 284, 1503, 81, 11043, 44, 313, 36, 32, 42, 20, 334, 25070, 44, 284, 3048, 44, 397, 429, 3456, 46264, 1603, 432, 2702, 2568, 390, 26, 426, 27, 436, 498, 7118, 66, 18547, 32, 397, 429, 886, 2412, 1361, 2184, 884, 3304, 32, 284, 1503, 81, 11043, 44, 313, 36, 32, 42, 20 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 420, 25361, 1188, 10343, 203, 1070, 2156, 3034, 81, 7854, 1188, 4125, 203, 823, 6577, 1922, 25134, 26, 11278, 32, 2359, 1711, 711, 284, 636, 280, 313, 1297, 20, 284, 9541, 81, 426, 280, 26155, 1922, 657, 284, 1984, 280, 313, 46305, 44, 2300, 44, 27611, 44, 7236, 81, 2516, 44, 28851, 81, 16452, 44, 1297, 20, 284, 6015, 280, 2884, 6825, 31, 3867, 392, 27, 284, 4269, 280, 313, 5431, 20, 284, 665, 622, 81, 1204, 81, 965, 26, 784, 30, 2678, 500, 81, 2285, 47, 2521, 711, 291, 2678, 500, 81, 2285, 81, 314, 280, 630, 32, 1274, 32, 5321, 710, 28851, 81, 2285, 81, 314, 785, 291, 442, 10156, 26, 784, 32, 965, 30, 2181, 6020, 28851, 81, 2285, 81, 314, 1130, 203, 823, 6577, 3410, 25134, 26, 11278, 32, 3410, 1711, 711, 284, 706, 81, 681, 81, 37579, 280, 26155, 2710, 657, 284, 706, 81, 681, 81, 25857, 280, 26155, 27489, 657, 284, 665, 3066, 26, 784, 30, 1326, 30, 2830, 81, 3631, 711, 291, 2678, 500, 81, 2285, 81, 314, 280, 630, 32, 1274, 32, 5321, 710, 28851, 81, 2285, 81, 314, 785, 291, 4125, 32, 85, 15130, 32, 28851, 81, 2285, 81, 16811, 81, 3494, 26, 1357, 30, 10000, 2678, 500, 81, 2285, 81, 314, 30, 10000, 428, 2067, 81, 3631, 1130, 203, 823, 6577, 3579, 25134, 26, 11278, 32, 2359, 1711, 711, 284, 636, 280, 313, 3176, 20, 284, 9541, 81, 426, 280, 26155, 3579, 657, 284, 1984, 280, 313, 46305, 44, 2300, 44, 27611, 44, 7236, 81, 2516, 44, 28851, 81, 16452, 44, 3176, 20, 284, 6015, 280, 2884, 6825, 31, 3867, 392, 27, 284, 4269, 280, 313, 32711, 20, 284, 665, 622, 81, 1204, 81, 965, 26, 784, 30, 2678, 500, 81, 2285, 711, 291, 442, 10156, 26, 784, 32, 965, 30, 2181, 6020, 28851, 81, 2285, 32, 314, 30, 2678, 500, 81, 2285, 32, 678, 1130, 203, 823, 6577, 101, 1599, 26, 11278, 32, 18864, 711, 284, 1202, 280, 10343, 32, 2137, 463, 678, 370, 9541, 81, 426, 11645, 463, 953, 2847, 284, 786, 280, 10343, 32, 2137, 463, 853, 370, 9541, 81, 426, 11645, 463, 882, 2847, 284, 443, 11985, 44, 291, 636, 280, 313, 16452, 20, 291, 9541, 81, 426, 280, 26155, 953, 31, 882, 16588, 101, 657, 291, 1858, 81, 3543, 280, 308, 2710, 1922, 25134, 30, 6577, 3410, 25134, 27, 291, 2698, 81, 3543, 280, 308, 2710, 3579, 25134, 30, 6577, 3410, 25134, 27, 284, 665, 622, 81, 1473, 81, 314, 26, 784, 30, 31742, 711, 291, 442, 31742, 32, 678, 284, 665, 622, 81, 1473, 81, 2751, 26, 784, 30, 31742, 711, 291, 442, 31742, 32, 678, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 8, 8, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 7, 7, 5, 2, 2, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 7, 9, 8, 9, 7, 7, 8, 10, 10, 10, 10, 10, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 7, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 7, 7, 8, 8, 8, 8, 8, 7, 7, 7, 9, 9, 9, 8, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 8, 8, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 7, 7, 5, 2, 2, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 7, 8, 11, 11, 11, 10, 11, 9, 9, 11, 11, 11, 10, 11, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 6, 8, 8, 7, 9, 11, 11, 2, 2, 4, 4, 6, 7, 6, 8, 8, 6, 8, 8, 7, 9, 11, 11, 2, 2, 3, 3, 3, 3, 6, 6, 8, 8, 4, 4, 7, 7, 6, 6, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 3, 3, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 1, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 3, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 5, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 2, 6, 6, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 1, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 5, 5, 0, 1, 0, 1, 2, 1, 1, 3, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 2, 2, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 3, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 3, 1, 1, 2, 4, 4, 2, 2, 2, 2, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 2, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 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 ]
[ 465, 15798, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 5237, 203, 465, 316, 203, 465, 29590, 203, 465, 3619, 81, 6993, 203, 1070, 894, 32, 3592, 1188, 23262, 30, 1930, 81, 18244, 81, 40546, 30, 1420, 81, 18986, 30, 707, 944, 30, 9541, 203, 1070, 894, 32, 1423, 81, 4313, 1188, 308, 284, 1930, 81, 4652, 30, 1930, 81, 1423, 30, 1930, 81, 3969, 81, 4652, 30, 1930, 81, 3969, 81, 1423, 30, 1779, 81, 1515, 27, 203, 1070, 1420, 978, 1188, 617, 1945, 81, 687, 30, 617, 1945, 81, 1647, 81, 687, 30, 1420, 81, 1647, 30, 1420, 81, 983, 203, 823, 4489, 2459, 1227, 1006, 26, 18986, 32, 7233, 711, 284, 2799, 81, 1267, 280, 3037, 3155, 3193, 13807, 392, 313, 6724, 3193, 4121, 1446, 284, 894, 81, 1855, 280, 308, 291, 5100, 3456, 6550, 1340, 6063, 78, 96, 20, 291, 313, 1267, 280, 2107, 3155, 3193, 13807, 785, 78, 96, 20, 291, 313, 589, 296, 2262, 78, 96, 20, 291, 313, 264, 1056, 32, 1689, 463, 6724, 3193, 4121, 683, 78, 96, 20, 291, 313, 88, 37938, 96, 20, 291, 5100, 3456, 322, 5237, 2297, 78, 96, 20, 291, 313, 465, 5237, 78, 96, 20, 291, 313, 1945, 81, 6118, 34, 280, 5237, 32, 6118, 77, 34, 10854, 96, 20, 291, 313, 1945, 81, 426, 81, 266, 81, 3731, 81, 3477, 280, 1156, 426, 505, 328, 5237, 32, 3477, 78, 96, 20, 291, 313, 325, 1420, 81, 426, 81, 266, 81, 3731, 81, 3477, 3491, 96, 20, 291, 313, 261, 2297, 81, 266, 81, 3731, 81, 3477, 280, 27311, 346, 438, 5237, 32, 3477, 77, 505, 426, 505, 997, 505, 2665, 505, 78, 96, 20, 291, 5100, 3456, 11815, 4212, 78, 96, 20, 291, 313, 465, 1420, 978, 78, 96, 20, 291, 313, 15377, 280, 1420, 978, 1114, 1945, 81, 1647, 81, 687, 463, 106, 47, 35, 1736, 96, 370, 2047, 81, 426, 35912, 1945, 22639, 78, 96, 20, 284, 829, 284, 665, 894, 81, 1945, 81, 687, 26, 784, 711, 291, 7511, 81, 6118, 34, 280, 5237, 32, 6118, 77, 34, 79, 291, 343, 280, 617, 1945, 81, 687, 26, 784, 32, 858, 81, 1855, 30, 12797, 291, 630, 32, 5299, 26, 86, 1365, 1267, 3439, 630, 32, 3140, 81, 1267, 27, 291, 630, 32, 25839, 26, 86, 1365, 505, 426, 505, 3439, 1665, 27, 291, 630, 32, 25839, 26, 86, 1365, 505, 761, 505, 3439, 1665, 27, 291, 630, 32, 25839, 26, 86, 1365, 505, 10569, 505, 3439, 1665, 27, 291, 630, 32, 25839, 26, 86, 1365, 505, 4554, 505, 3439, 1665, 27, 291, 630, 32, 25839, 26, 86, 1365, 505, 1320, 505, 3439, 1665, 27, 291, 630, 32, 25839, 26, 86, 1365, 1945, 81, 6118, 34, 3439, 7511, 81, 6118, 34, 27, 291, 630, 32, 31196, 383, 440, 1945, 81, 426, 392, 343, 27, 291, 630, 32, 25839, 26, 3731, 32, 6118, 77, 34, 614, 7511, 81, 6118, 34, 27, 284, 665, 894, 81, 1945, 81, 1647, 81, 687, 26, 784, 711, 291, 2815, 280, 1300, 346, 291, 636, 280, 3778, 64, 2612 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 9, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 6, 6, 8, 8, 8, 9, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 6, 6, 8, 8, 9, 8, 6, 6, 8, 8, 8, 8, 9, 9, 8, 6, 6, 8, 8, 9, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 6, 6, 8, 8, 8, 9, 9, 8, 6, 6, 8, 8, 8, 9, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 8, 9, 7, 8, 7, 4, 4, 6, 6, 8, 8, 8, 8, 10, 9, 10, 10, 10, 8, 8, 4, 4, 7, 8, 7, 9, 8, 10, 10, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 7, 9, 8, 10, 10, 10, 10, 10, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 6, 6, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 1, 2, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 8, 8, 1, 2, 2, 2, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 10, 10, 1, 1, 1, 2, 0, 1, 2, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 3, 3, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 4, 4, 0, 0, 1, 1 ]
[ 465, 8229, 91, 32, 12195, 619, 13237, 203, 1070, 1133, 1188, 9368, 619, 9368, 203, 9592, 203, 1350, 19068, 443, 372, 2887, 787, 325, 299, 706, 963, 372, 5733, 225, 3909, 225, 203, 1512, 8867, 280, 1688, 9565, 203, 35963, 8867, 280, 9766, 19620, 225, 203, 5745, 280, 3104, 432, 706, 328, 3519, 308, 1536, 225, 35, 8043, 27, 203, 8177, 280, 7808, 3733, 2504, 3493, 308, 2044, 225, 34, 32, 34, 35, 8382, 27, 203, 9592, 203, 823, 26107, 1512, 2262, 334, 665, 1156, 1664, 3207, 784, 30, 4306, 8867, 30, 5958, 93, 8867, 30, 11035, 8867, 30, 8043, 2380, 47, 35, 30, 26569, 47, 34, 32, 34, 34, 35, 711, 284, 630, 32, 1512, 8867, 280, 4306, 8867, 284, 630, 32, 35963, 8867, 280, 5958, 93, 8867, 284, 630, 32, 6790, 8867, 280, 11035, 8867, 284, 630, 32, 3930, 2380, 280, 8043, 2380, 284, 630, 32, 8177, 280, 26569, 284, 630, 32, 470, 33983, 346, 284, 630, 32, 2897, 280, 225, 35, 334, 665, 408, 491, 2372, 26, 784, 711, 284, 13237, 32, 470, 2816, 26, 12195, 32, 21289, 27, 284, 13237, 32, 5522, 26, 784, 32, 1512, 8867, 30, 13237, 32, 4241, 27, 284, 13237, 32, 2024, 26, 784, 32, 1512, 8867, 30, 13237, 32, 5875, 27, 284, 13237, 32, 5522, 26, 784, 32, 35963, 8867, 30, 13237, 32, 4241, 27, 284, 13237, 32, 2024, 26, 784, 32, 35963, 8867, 30, 13237, 32, 5875, 27, 284, 13237, 32, 5522, 26, 784, 32, 6790, 8867, 30, 13237, 32, 4241, 27, 284, 13237, 32, 2024, 26, 784, 32, 6790, 8867, 30, 13237, 32, 5875, 27, 334, 665, 3240, 2400, 26, 784, 30, 7588, 711, 284, 415, 26, 784, 32, 2897, 610, 225, 35, 711, 397, 1459, 463, 1189, 325, 37854, 25, 1717, 4587, 27, 284, 13237, 32, 2024, 26, 784, 32, 1512, 8867, 30, 7588, 27, 284, 13237, 32, 2024, 26, 784, 32, 35963, 8867, 30, 13237, 32, 19542, 27, 284, 9368, 26, 784, 32, 8177, 27, 284, 13237, 32, 2024, 26, 784, 32, 35963, 8867, 30, 13237, 32, 5875, 27, 284, 13237, 32, 2024, 26, 784, 32, 1512, 8867, 30, 12195, 32, 5875, 27, 284, 9368, 26, 784, 32, 8177, 27, 203, 9592, 203, 10210, 1512, 403, 615, 325, 37854, 26, 605, 30, 1322, 27, 203, 3234, 21370, 203, 21, 1189, 22908, 963, 5104, 498, 6128, 1932, 203, 6772, 2261, 203, 605, 280, 1426, 225, 203, 9592, 262, 334, 665, 787, 325, 37854, 26, 784, 30, 706, 30, 3104, 280, 225, 34, 711, 284, 3493, 3965, 280, 225, 34, 106, 34, 34, 284, 810, 33619, 912, 280, 225, 34, 106, 34, 34, 284, 415, 308, 1322, 610, 225, 34, 711, 397, 3104, 280, 630, 32, 3930, 2380, 284, 1596, 44, 397, 436, 8043, 4439, 328, 2155, 26, 1322, 711, 291, 810, 33619, 912, 280, 225, 34, 4769, 1264, 308, 3930, 4439, 319, 225, 42, 829, 291, 8043, 43598, 280, 810, 33619, 912, 549, 706, 291, 8043, 43598, 280, 225, 8043, 43598, 3776, 308, 3930, 4439, 319, 225, 42, 27, 291, 415, 26, 784, 32, 2897, 610, 225, 35, 711, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 5, 6, 6, 6, 6, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 9, 8, 9, 7, 7, 8, 6, 5, 5, 9, 11, 11, 11, 11, 9, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 9, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 9, 8, 9, 7, 4, 4, 7, 9, 8, 9, 7, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 4, 2, 1, 1, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 3, 6, 5, 5, 6, 4, 3, 3, 6, 6, 7, 8, 8, 2, 2, 3, 3, 3, 5, 6, 5, 5, 7, 8, 7, 5, 5, 9, 9, 8, 8, 10, 10, 9, 9, 12, 12, 11, 11, 12, 10, 6, 6, 9, 8, 8, 10, 10, 9, 9, 6, 6, 9, 8, 8, 8, 10, 9, 9, 12, 12, 11, 11, 12, 10, 6, 6, 8, 11, 10, 11, 9, 9, 10, 8, 7 ]
[ 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 7, 2, 2, 0, 9, 2, 2, 2, 11, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 0, 3, 2, 1, 4, 4, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 5, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 4, 4, 3, 3, 3, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 5, 5, 1, 0, 0, 2, 1, 1, 2, 1, 3 ]
[ 465, 15798, 203, 465, 7791, 267, 32, 2282, 32, 4882, 32, 2958, 32, 2304, 32, 3613, 81, 7101, 619, 4395, 81, 7101, 203, 823, 4306, 12397, 8924, 2762, 1006, 26, 18986, 32, 7233, 711, 334, 4040, 81, 13169, 81, 779, 280, 313, 2238, 81, 314, 20, 334, 665, 14553, 26, 784, 711, 284, 3097, 334, 665, 894, 81, 3287, 81, 3127, 26, 784, 711, 284, 963, 81, 4313, 280, 4395, 81, 7101, 32, 3660, 36367, 8924, 2762, 346, 284, 23816, 81, 605, 81, 7288, 30, 1334, 280, 4395, 81, 7101, 32, 2682, 81, 605, 81, 7288, 81, 1070, 81, 668, 26, 3613, 81, 7101, 32, 17386, 81, 668, 27, 284, 963, 81, 4313, 32, 669, 81, 605, 81, 7288, 26, 784, 32, 5807, 81, 13169, 81, 779, 30, 23816, 81, 605, 81, 7288, 30, 1334, 27, 284, 630, 32, 6549, 26, 541, 81, 4313, 32, 10910, 81, 1664, 81, 890, 81, 605, 27, 284, 630, 32, 5299, 26, 541, 81, 4313, 32, 1700, 81, 605, 81, 7288, 81, 470, 32, 2238, 32, 314, 30, 630, 32, 5807, 81, 13169, 81, 779, 27, 284, 630, 32, 5299, 26, 541, 81, 4313, 32, 1700, 81, 605, 81, 7288, 81, 891, 81, 266, 81, 3651, 30, 1334, 27, 284, 963, 81, 4313, 32, 2714, 81, 541, 81, 34805, 346, 284, 630, 32, 5299, 26, 541, 81, 4313, 32, 1700, 81, 605, 81, 7288, 81, 891, 81, 266, 81, 3651, 30, 225, 34, 27, 284, 630, 32, 5299, 26, 541, 81, 4313, 32, 2999, 81, 605, 81, 7911, 3251, 81, 266, 81, 3651, 30, 1334, 27, 284, 630, 32, 25839, 2521, 26, 541, 81, 4313, 32, 1700, 81, 605, 81, 7288, 81, 470, 27, 284, 4618, 81, 605, 81, 7288, 81, 470, 280, 963, 81, 4313, 32, 541, 81, 2238, 32, 11986, 922, 605, 284, 630, 32, 5299, 26, 5914, 81, 605, 81, 7288, 81, 470, 32, 2238, 32, 314, 30, 630, 32, 5807, 81, 13169, 81, 779, 27, 284, 630, 32, 5299, 26, 5914, 81, 605, 81, 7288, 81, 470, 32, 34805, 77, 34, 614, 23816, 81, 605, 81, 7288, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 8, 8, 8, 8, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 9, 10, 10, 10, 8, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 9, 10, 8, 9, 7, 7, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 11, 11, 10, 11, 11, 11, 9, 10, 9, 8, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 9, 10, 8, 9, 7, 7, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 9, 10, 8, 9, 8, 7, 8, 8, 8, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 0, 4, 0, 6, 0, 8, 0, 10, 10, 10, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 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 ]
[ 465, 1968, 2195, 81, 2282, 203, 465, 1968, 81, 1648, 203, 465, 12460, 203, 465, 2919, 2208, 203, 465, 2322, 203, 465, 5237, 203, 12210, 81, 3197, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 203, 9099, 81, 12784, 81, 3197, 280, 2322, 32, 983, 32, 7781, 26, 12210, 81, 3197, 27, 203, 9099, 81, 3197, 280, 2322, 32, 983, 32, 7781, 26, 9099, 81, 12784, 81, 3197, 27, 203, 12784, 81, 3197, 280, 2322, 32, 983, 32, 7781, 26, 9099, 81, 3197, 27, 203, 64, 16882, 81, 3197, 280, 2322, 32, 983, 32, 2524, 26, 12784, 81, 3197, 30, 330, 3723, 81, 1580, 683, 203, 12721, 11502, 783, 280, 2322, 32, 983, 32, 2524, 26, 64, 16882, 81, 3197, 30, 330, 1832, 370, 330, 2479, 1837, 282, 32, 978, 683, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 9099, 81, 12784, 81, 3197, 30, 330, 4280, 2847, 203, 465, 2322, 8774, 203, 2418, 9863, 527, 81, 14137, 280, 428, 334, 2726, 1832, 81, 4280, 33, 96, 12402, 4968, 370, 330, 96, 12402, 81, 4968, 33, 96, 12402, 4968, 1425, 334, 2726, 1832, 81, 4280, 33, 96, 12402, 4968, 32, 8214, 370, 330, 96, 12402, 81, 4968, 33, 96, 12402, 4968, 32, 8214, 1425, 334, 2726, 1832, 81, 4280, 33, 1260, 33, 96, 12402, 4968, 81, 10785, 34, 32, 1260, 370, 397, 330, 96, 12402, 81, 4968, 33, 4968, 81, 2613, 33, 96, 12402, 4968, 81, 10785, 36, 32, 1260, 1425, 334, 2726, 1832, 81, 4280, 33, 4968, 81, 4280, 33, 24127, 30003, 32, 2760, 370, 330, 96, 12402, 81, 4968, 33, 4968, 81, 4280, 33, 24127, 30003, 32, 2760, 1425, 334, 2726, 1832, 81, 4280, 33, 4968, 81, 4280, 11734, 978, 370, 330, 96, 12402, 81, 4968, 33, 4968, 81, 4280, 33, 1425, 334, 2726, 1832, 81, 4280, 33, 4968, 81, 4280, 33, 2501, 11734, 978, 370, 330, 96, 12402, 81, 4968, 33, 4968, 81, 4280, 33, 2501, 33, 1425, 334, 2726, 1832, 81, 4280, 33, 4968, 81, 4280, 33, 14146, 81, 9744, 11734, 978, 370, 330, 96, 12402, 81, 4968, 33, 4968, 81, 4280, 33, 14146, 81, 9744, 33, 1425, 334, 2726, 1832, 81, 4280, 33, 4968, 81, 4280, 33, 14146, 81, 9744, 33, 33041, 81, 39362, 11734, 978, 370, 397, 330, 96, 12402, 81, 4968, 33, 4968, 81, 4280, 33, 14146, 81, 9744, 33, 33041, 81, 39362, 33, 1425, 334, 2726, 1832, 81, 4280, 33, 4968, 81, 4280, 33, 14146, 81, 9744, 33, 33041, 81, 39362, 33, 10229, 370, 397, 330, 96, 12402, 81, 4968, 33, 4968, 81, 4280, 33, 14146, 81, 9744, 33, 33041, 81, 39362, 33, 10229, 1425, 334, 2726, 1832, 81, 4280, 33, 10785, 81, 1040, 32, 978, 370, 330, 96, 12402, 81, 4968, 33, 4968, 81, 4280, 33, 10785, 81, 1040, 32, 978, 1425, 334, 2726, 4092, 370, 330, 96, 12402, 81, 4968, 33, 4968, 81, 4280, 33, 4092, 1425, 334, 308, 12721, 11502, 783, 30, 330, 96, 12402, 81, 4968, 33, 4968, 81, 4280, 33, 2479, 1837, 282, 32, 978, 1425, 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, 3, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 5, 4, 4, 6, 6, 4, 6, 6, 6, 6, 6, 6, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 6, 6, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 23, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2 ]
[ 465, 15798, 203, 1070, 1288, 742, 32, 39980, 2593, 32, 7594, 32, 18554, 1188, 358, 395, 203, 1070, 1288, 742, 32, 39980, 2593, 32, 7594, 32, 1439, 81, 1251, 1188, 3772, 1212, 203, 1070, 1288, 742, 32, 39980, 2593, 32, 7594, 32, 20784, 32, 5894, 1188, 35773, 203, 823, 2108, 30859, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 878, 280, 330, 8279, 645, 2523, 742, 25, 284, 665, 894, 81, 1664, 81, 1793, 81, 3648, 81, 2810, 26, 784, 711, 291, 2799, 280, 4145, 30859, 6457, 474, 630, 32, 878, 474, 9398, 30859, 6457, 291, 1201, 358, 395, 26, 784, 32, 878, 547, 2593, 610, 2799, 284, 665, 894, 81, 1664, 81, 1793, 81, 5301, 81, 5843, 26, 784, 711, 291, 5258, 280, 225, 35, 34, 34, 291, 7617, 280, 358, 395, 26, 784, 32, 878, 30, 5258, 47, 5837, 27, 291, 2799, 280, 4145, 30859, 5258, 28664, 101, 45679, 101, 377, 30859, 6457, 904, 308, 5837, 30, 630, 32, 878, 27, 291, 1201, 7617, 32, 2593, 610, 2799, 284, 665, 894, 81, 1664, 81, 1793, 81, 34019, 81, 5843, 26, 784, 711, 291, 630, 32, 23895, 26, 18082, 30, 9254, 44, 358, 395, 26, 784, 32, 878, 30, 9214, 1057, 1632, 2847, 284, 665, 894, 81, 1793, 81, 1877, 81, 5843, 26, 784, 711, 291, 7617, 280, 358, 395, 26, 784, 32, 878, 27, 291, 1344, 280, 330, 6529, 439, 1098, 646, 4719, 29220, 25, 291, 20309, 280, 35773, 32, 63, 14348, 291, 7617, 32, 878, 280, 1344, 291, 7617, 32, 5894, 280, 20309, 291, 2799, 280, 4145, 30859, 20309, 28664, 101, 45679, 101, 377, 30859, 6457, 904, 308, 5894, 32, 853, 30, 1344, 27, 291, 1201, 7617, 32, 2593, 610, 2799, 284, 665, 894, 81, 103, 30343, 981, 81, 1959, 81, 1793, 81, 19697, 81, 681, 26, 784, 711, 291, 630, 32, 23895, 26, 324, 29316, 30, 9254, 44, 358, 395, 26, 784, 32, 878, 547, 40682, 463, 1632, 2847, 284, 665, 894, 81, 103, 30343, 981, 81, 1959, 81, 1793, 81, 1439, 81, 1251, 26, 784, 711, 291, 630, 32, 23895, 26, 324, 29316, 30, 9254, 44, 358, 395, 26, 784, 32, 878, 547, 40682, 26, 1761, 1212, 5156, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 8, 8, 9, 10, 7, 7, 9, 9, 4, 4, 5, 9, 9, 11, 10, 11, 9, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 7, 4, 4, 6, 6, 8, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 8, 8, 9, 10, 8, 4, 4, 5, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 8, 8, 10, 10, 12, 11, 12, 10, 10, 11, 13, 13, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 7, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 8, 8, 8, 4, 4, 5, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 7, 7, 7, 7, 8, 8, 12, 12, 14, 13, 14, 12, 11, 10, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 7, 7, 7, 7, 8, 8, 12, 12, 14, 13, 14, 12, 11, 10, 12, 12, 12, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 4, 1, 6, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 1, 6, 1, 8, 3, 3, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 3, 2, 2, 4, 4, 3, 0, 2, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 3, 3, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 4, 4, 6, 0, 2, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 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 ]
[ 1070, 7138, 1188, 2340, 30, 7138, 30, 30784, 203, 465, 4395, 203, 465, 2322, 203, 465, 15798, 203, 465, 3466, 279, 9693, 203, 465, 5439, 26251, 203, 465, 28039, 2195, 203, 3287, 81, 19246, 81, 6286, 280, 428, 284, 301, 291, 313, 681, 563, 313, 1436, 392, 291, 313, 3237, 563, 313, 53, 36, 35, 38, 41, 38, 42, 37, 41, 34, 39, 392, 291, 313, 496, 563, 313, 71, 36, 35, 38, 41, 38, 42, 37, 40, 43, 41, 392, 291, 313, 878, 563, 313, 21390, 13462, 13462, 4414, 291, 313, 1421, 563, 313, 35, 37, 39, 39, 39, 35, 41, 39, 36, 37, 32, 34, 34, 34, 34, 34, 39, 392, 291, 313, 42981, 563, 301, 324, 313, 496, 563, 313, 71, 36, 35, 38, 41, 38, 42, 37, 40, 43, 41, 392, 324, 313, 1421, 563, 313, 35, 37, 39, 39, 39, 35, 41, 39, 37, 40, 32, 34, 34, 34, 34, 34, 35, 20, 291, 320, 284, 801, 284, 301, 291, 313, 681, 563, 313, 1436, 392, 291, 313, 32287, 563, 313, 2195, 81, 1436, 392, 291, 313, 878, 563, 313, 14843, 13047, 13047, 4414, 291, 313, 1421, 563, 313, 35, 38, 34, 37, 34, 39, 35, 39, 41, 39, 32, 34, 34, 34, 38, 34, 41, 392, 291, 313, 496, 563, 313, 71, 34, 36, 37, 4657, 1192, 35, 20, 284, 801, 284, 301, 291, 313, 681, 563, 313, 1436, 392, 291, 313, 32287, 563, 313, 3237, 81, 426, 392, 291, 313, 878, 563, 5100, 270, 279, 266, 1401, 2583, 23008, 333, 53, 36, 35, 38, 41, 38, 42, 37, 41, 34, 39, 110, 33451, 1372, 1058, 104, 9601, 291, 313, 1421, 563, 313, 35, 38, 34, 37, 34, 39, 35, 39, 41, 39, 32, 34, 34, 34, 38, 34, 41, 392, 291, 313, 496, 563, 313, 71, 34, 36, 37, 4657, 9421, 56, 20, 284, 801, 284, 301, 291, 313, 681, 563, 313, 1436, 392, 291, 313, 3237, 563, 313, 53, 36, 35, 38, 41, 38, 42, 37, 41, 34, 39, 392, 291, 313, 496, 563, 313, 71, 36, 35, 38, 41, 38, 42, 37, 40, 43, 41, 392, 291, 313, 878, 563, 313, 634, 957, 27055, 31283, 4414, 291, 313, 1421, 563, 313, 35, 37, 39, 39, 39, 35, 41, 39, 36, 37, 32, 34, 34, 34, 34, 34, 39, 20, 284, 801, 284, 301, 291, 313, 681, 563, 313, 1436, 392, 291, 313, 32287, 563, 313, 2195, 81, 1436, 392, 291, 313, 20739, 563, 428, 324, 301, 400, 313, 24034, 563, 313, 5413, 14917, 31, 878, 8822, 432, 322, 16612, 4414, 400, 313, 1489, 563, 5100, 37, 40, 83, 40, 38, 88, 392, 400, 313, 1001, 878, 563, 313, 7556, 1344, 688, 12929, 3684, 322, 16612, 2163, 392, 400, 313, 2116, 81, 426, 563, 313, 52, 25399, 43960, 392, 400, 313, 2116, 81, 1204, 563, 313, 525, 555, 35330, 32, 508, 33, 23239, 1170, 10590, 400, 313, 2116, 81, 1566, 563, 313, 525, 555, 35330, 32, 508, 33, 5353, 33, 23239, 1170, 32, 3072, 392, 400, 313, 1311, 563, 313, 31185, 2330, 12217, 392 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 4, 7, 7, 5, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 4, 4, 3, 3, 4, 4, 7, 7, 5, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 3, 3, 4, 4, 7, 7, 5, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 3, 3, 4, 4, 7, 7, 5, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 3, 3, 4, 4, 7, 7, 5, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 4, 4, 7, 7, 5, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 11, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 1, 2, 1, 1, 2, 3, 3, 1, 2, 3, 1, 1, 1, 2, 3, 3, 1, 2, 5, 1, 1, 1, 1, 3, 3, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 5, 5, 1, 2, 1, 1, 2, 5, 5, 1, 2, 3, 1, 1, 1, 2, 5, 5, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 2, 2, 7, 7, 1, 2, 1, 1, 2, 7, 7, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 1, 2, 7, 1, 1, 1, 1, 1, 7, 7, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 2, 2, 9, 9, 1, 2, 1, 1, 2, 9, 9, 1, 2, 3, 1, 1, 1, 2, 9, 9, 1, 2, 5, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 13, 1, 1, 1, 2 ]
[ 1070, 4937, 302, 331, 1188, 1550, 81, 725, 203, 1070, 4937, 302, 331, 32, 407, 1188, 622, 81, 6728, 81, 1293, 203, 1070, 309, 836, 101, 32, 1580, 1188, 5675, 619, 358, 836, 101, 1486, 203, 1070, 309, 836, 101, 1188, 3704, 12349, 203, 465, 5592, 32, 48609, 32, 1308, 3350, 619, 20523, 203, 465, 5167, 203, 465, 7138, 203, 22295, 81, 19006, 1310, 12145, 280, 301, 284, 313, 722, 563, 313, 26922, 392, 3701, 313, 4657, 563, 313, 26922, 392, 3701, 313, 15902, 563, 313, 52, 11785, 392, 3701, 313, 852, 563, 313, 26922, 392, 3701, 313, 12721, 563, 313, 26922, 392, 3701, 313, 29998, 563, 313, 29998, 61, 392, 3701, 313, 5602, 563, 313, 5602, 61, 392, 3701, 313, 4153, 563, 313, 26922, 392, 3701, 313, 940, 563, 313, 26922, 392, 3701, 313, 1818, 563, 313, 26922, 392, 3701, 313, 4002, 563, 313, 26922, 392, 3701, 313, 4270, 563, 313, 26922, 392, 3701, 313, 5137, 563, 313, 5137, 61, 392, 3701, 313, 22464, 563, 313, 22464, 56, 392, 3701, 313, 3989, 563, 313, 26922, 392, 3701, 313, 780, 563, 313, 26922, 392, 3701, 313, 11704, 563, 313, 26922, 392, 3701, 313, 20698, 563, 313, 26922, 392, 3701, 313, 11733, 563, 313, 26922, 392, 3701, 313, 3895, 563, 313, 26922, 392, 3701, 313, 15619, 563, 313, 26922, 392, 3701, 313, 2743, 563, 313, 2743, 64, 392, 3701, 313, 3655, 563, 313, 26922, 392, 3701, 313, 1013, 563, 313, 32844, 392, 3701, 313, 807, 563, 313, 807, 61, 392, 3701, 313, 2123, 563, 313, 26922, 392, 3701, 313, 9718, 563, 313, 26922, 20, 261, 203, 111, 203, 12116, 81, 72, 722, 81, 22632, 940, 280, 301, 284, 313, 722, 563, 225, 36, 34, 32, 34, 30, 3701, 313, 4657, 563, 225, 36, 35, 32, 34, 30, 3701, 313, 15902, 563, 225, 36, 34, 32, 34, 30, 3701, 313, 852, 563, 225, 35, 43, 32, 34, 30, 3701, 313, 12721, 563, 225, 35, 43, 32, 34, 30, 3701, 313, 29998, 563, 225, 36, 35, 32, 34, 30, 3701, 313, 5602, 563, 225, 36, 39, 32, 34, 30, 3701, 313, 4153, 563, 225, 36, 34, 32, 34, 30, 3701, 313, 940, 563, 225, 36, 35, 32, 34, 30, 3701, 313, 1818, 563, 225, 36, 38, 32, 34, 30, 3701, 313, 4002, 563, 225, 36, 34, 32, 34, 30, 3701, 313, 4270, 563, 225, 36, 37, 32, 34, 30, 3701, 313, 5137, 563, 225, 36, 39, 32, 34, 30, 3701, 313, 22464, 563, 225, 36, 41, 32, 34, 30, 3701, 313, 3989, 563, 225, 36, 37, 32, 34, 30, 3701, 313, 780, 563, 225, 36, 36, 32, 34, 30, 3701, 313, 11704, 563, 225, 36, 35, 32, 34, 30, 3701, 313, 20698, 563, 225, 36, 35, 32, 34, 30, 3701, 313, 11733, 563, 225, 35, 39, 32, 34, 30, 3701, 313, 3895, 563, 225, 35, 42, 32, 34, 30, 3701, 313, 15619, 563, 225, 36, 35, 32, 34, 30, 3701, 313, 2743, 563, 225, 36, 37, 32, 34, 30, 3701, 313, 3655, 563, 225, 36, 37, 32, 34, 30, 3701, 313, 1013, 563, 225, 36 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 3, 3, 2, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 2, 0, 4, 4, 1, 1, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 2, 2, 2, 1, 2, 7, 1, 2, 2, 2, 1, 2, 9, 1, 2, 2, 2, 1, 2, 11, 1, 1, 2, 2, 2, 1, 2, 13, 1, 1, 2, 2, 2, 1, 2, 15, 1, 2, 2, 2, 1, 2, 17, 1, 2, 2, 2, 1, 2, 19, 1, 2, 2, 2, 1, 2, 21, 1, 2, 2, 2, 1, 2, 23, 1, 2, 2, 2, 1, 2, 25, 1, 1, 2, 2, 2, 1, 2, 27, 1, 1, 2, 2, 2, 1, 2, 29, 1, 2, 2, 2, 1, 2, 31, 1, 2, 2, 2, 1, 2, 33, 1, 2, 2, 2, 1, 2, 35, 1, 2, 2, 2, 1, 2, 37, 1, 2, 2, 2, 1, 2, 39, 1, 2, 2, 2, 1, 2, 41, 1, 2, 2, 2, 1, 2, 43, 1, 1, 2, 2, 2, 1, 2, 45, 1, 2, 2, 2, 1, 2, 47, 1, 2, 2, 2, 1, 2, 49, 1, 1, 2, 2, 2, 1, 2, 51, 1, 2, 2, 2, 1, 2, 53, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 1, 2, 9, 2, 2, 2, 2, 2, 2, 2, 1, 2, 11, 2, 2, 2, 2, 2, 2, 2, 1, 2, 13, 2, 2, 2, 2, 2, 2, 2, 1, 2, 15, 2, 2, 2, 2, 2, 2, 2, 1, 2, 17, 2, 2, 2, 2, 2, 2, 2, 1, 2, 19, 2, 2, 2, 2, 2, 2, 2, 1, 2, 21, 2, 2, 2, 2, 2, 2, 2, 1, 2, 23, 2, 2, 2, 2, 2, 2, 2, 1, 2, 25, 2, 2, 2, 2, 2, 2, 2, 1, 2, 27, 2, 2, 2, 2, 2, 2, 2, 1, 2, 29, 2, 2, 2, 2, 2, 2, 2, 1, 2, 31, 2, 2, 2, 2, 2, 2, 2, 1, 2, 33, 2, 2, 2, 2, 2, 2, 2, 1, 2, 35, 2, 2, 2, 2, 2, 2, 2, 1, 2, 37, 2, 2, 2, 2, 2, 2, 2, 1, 2, 39, 2, 2, 2, 2, 2, 2, 2, 1, 2, 41, 2, 2, 2, 2, 2, 2, 2, 1, 2, 43, 2, 2, 2, 2, 2, 2, 2, 1, 2, 45, 2, 2, 2, 2, 2, 2, 2, 1, 2, 47, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 15390, 81, 30839, 203, 1070, 35094, 1188, 1974, 81, 5098, 203, 1070, 8527, 32, 1199, 1188, 3387, 203, 1070, 8527, 32, 858, 1188, 19205, 30, 7116, 23093, 1996, 4228, 30, 7116, 2797, 1996, 4228, 203, 1070, 8527, 32, 2304, 1188, 18792, 30, 15798, 203, 1070, 638, 3378, 1188, 9082, 265, 30, 20671, 203, 325, 3387, 32, 7980, 610, 330, 11115, 950, 284, 2799, 7961, 1484, 24768, 280, 15798, 32, 3140, 7961, 203, 1824, 44, 284, 2799, 7961, 1484, 24768, 280, 9254, 296, 44, 296, 203, 589, 5079, 81, 1206, 81, 17788, 26, 1298, 711, 284, 665, 617, 3369, 2740, 1132, 30, 1115, 5321, 711, 291, 1596, 44, 324, 442, 3420, 2740, 1132, 30, 1115, 5321, 27, 291, 2940, 22210, 44, 324, 442, 1665, 284, 1974, 81, 5098, 2176, 3369, 30, 3420, 27, 284, 442, 617, 3369, 203, 823, 20419, 1337, 17788, 924, 26, 681, 711, 284, 665, 1156, 890, 3207, 6933, 30, 636, 30, 26394, 30, 11758, 711, 291, 436, 831, 30, 354, 328, 11758, 32, 3028, 2262, 324, 415, 831, 32, 15990, 463, 858, 7831, 400, 11758, 77, 93, 79, 280, 5079, 81, 1206, 81, 17788, 26, 104, 27, 291, 442, 827, 3667, 890, 3207, 6933, 30, 636, 30, 26394, 30, 11758, 27, 203, 823, 2854, 32402, 4470, 26, 25931, 32, 1793, 81, 2559, 32095, 26, 7180, 1337, 17788, 924, 30, 19205, 8531, 284, 665, 894, 81, 1274, 81, 4243, 26, 784, 711, 291, 23295, 280, 3387, 32, 410, 32402, 32, 1274, 81, 4243, 346, 291, 630, 32, 5299, 26, 5390, 30, 8594, 26, 5390, 490, 291, 630, 32, 6549, 26, 20624, 1114, 2859, 32, 1199, 81, 1274, 328, 23295, 30, 3486, 5335, 23, 101, 25, 7735, 1330, 328, 1858, 81, 668, 922, 20, 904, 9082, 265, 1114, 2859, 32, 1199, 81, 1274, 27, 291, 630, 32, 6549, 26, 11481, 1114, 2859, 32, 1199, 81, 1274, 328, 23295, 30, 3486, 5335, 23, 101, 25, 7735, 1330, 328, 1858, 81, 668, 922, 20, 904, 20671, 1114, 2859, 32, 1199, 81, 1274, 27, 284, 665, 894, 81, 11025, 81, 1274, 81, 4243, 26, 784, 711, 291, 6213, 280, 3387, 32, 7017, 346, 291, 6213, 32, 4526, 463, 6037, 4925, 8527, 81, 782, 96, 81, 858, 81, 1274, 308, 314, 14035, 293, 683, 291, 23295, 280, 3387, 32, 410, 32402, 32, 11025, 81, 1274, 81, 4243, 346, 291, 6213, 32, 4526, 440, 12464, 4925, 8527, 81, 782, 96, 81, 858, 81, 1274, 45, 657, 291, 630, 32, 6549, 463, 11025, 81, 782, 96, 81, 36301, 81, 1274, 25, 646, 328, 23295, 30, 3486, 313, 11025, 81, 1274, 81, 4243, 346, 4717, 312, 2979, 31, 36115, 1858, 657, 284, 665, 894, 81, 11025, 81, 1274, 81, 4243, 81, 13751, 81, 681, 26, 784, 711, 291, 6213, 280, 3387, 32, 7017, 346, 291, 6213, 32, 4526, 463, 6037, 4925, 8527, 81, 782, 96, 81, 858, 81, 1274, 308, 314, 14035, 293, 683, 291, 23295, 280, 3387, 32, 410, 32402, 32, 11025, 81, 1274, 81, 4243, 26, 2585, 81, 12724, 47, 1815, 27, 291, 630, 32, 25839, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 1, 0, 1, 1, 3, 4, 2, 2, 4, 4, 1, 1, 5, 5, 5, 4, 4, 5, 6, 6, 1, 2, 2, 2, 2, 6, 6, 6, 5, 5, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 5, 5, 7, 9, 11, 9, 9, 11, 9, 5, 5, 6, 6, 6, 6, 8, 2, 2, 5, 5, 5, 6, 5, 5, 5, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 7, 9, 10, 9, 11, 11, 7, 7, 11, 12, 11, 10, 10, 12, 12, 12, 12, 12, 13, 12, 4, 4, 5, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 4, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 9, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 10, 8, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 11, 10, 11, 9, 10, 10, 10, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 10, 8, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 9, 10, 10, 10, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 9, 10, 10, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 9, 10, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 4, 4, 4, 4, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 6, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 1 ]
[ 465, 1133, 203, 1070, 29346, 32, 4295, 1188, 6538, 81, 24124, 203, 1070, 29346, 32, 853, 1188, 7829, 203, 1070, 29346, 32, 853, 1188, 7116, 203, 823, 570, 1006, 5280, 20624, 26, 6654, 81, 24124, 32, 5280, 20624, 711, 334, 665, 1156, 1664, 3207, 784, 30, 1688, 81, 2238, 30, 1688, 81, 34106, 81, 4882, 81, 1367, 47, 2700, 711, 284, 2599, 26, 57, 1006, 5280, 20624, 30, 630, 14585, 1664, 16369, 284, 630, 1114, 2024, 81, 2238, 280, 1688, 81, 2238, 284, 630, 1114, 5561, 280, 1665, 284, 630, 1114, 2024, 81, 34106, 81, 4882, 81, 1367, 280, 1688, 81, 34106, 81, 4882, 81, 1367, 334, 665, 617, 936, 11071, 26, 784, 711, 284, 1201, 630, 1114, 5561, 438, 646, 1665, 30, 330, 11162, 646, 1476, 13508, 2529, 1969, 4564, 284, 442, 308, 1003, 32, 1003, 346, 429, 630, 1114, 5561, 27, 319, 225, 35, 34, 34, 34, 334, 665, 19231, 1103, 882, 26, 784, 30, 786, 711, 284, 2599, 26, 57, 1006, 5280, 20624, 30, 630, 547, 11162, 1103, 882, 26, 853, 27, 284, 415, 6937, 26, 853, 30, 7829, 32, 7961, 882, 711, 397, 1459, 3776, 630, 1114, 2024, 81, 2238, 30, 7829, 32, 13252, 1792, 23167, 1120, 26, 616, 786, 32, 14806, 81, 1338, 27, 397, 630, 1114, 2024, 81, 2238, 32, 9321, 346, 284, 4348, 6937, 26, 853, 30, 7116, 32, 11393, 882, 711, 397, 1459, 3776, 630, 1114, 2024, 81, 2238, 30, 330, 18444, 44623, 28524, 5895, 904, 101, 44, 904, 101, 45472, 25, 904, 308, 616, 786, 32, 1637, 32, 2751, 81, 426, 30, 786, 32, 10354, 27, 334, 665, 13508, 2529, 1969, 26, 784, 30, 1938, 81, 858, 81, 4295, 711, 284, 2599, 26, 57, 1006, 5280, 20624, 30, 630, 547, 12542, 2529, 1969, 26, 1637, 81, 858, 81, 4295, 27, 284, 1459, 3776, 630, 1114, 2024, 81, 2238, 30, 13198, 20045, 647, 1481, 370, 308, 291, 1938, 81, 858, 81, 4295, 32, 1700, 81, 1637, 32, 2751, 81, 426, 27, 284, 630, 1114, 2024, 81, 2238, 32, 9321, 346, 284, 630, 1114, 5561, 280, 1133, 32, 1003, 346, 334, 665, 19231, 2529, 1969, 26, 784, 30, 1938, 81, 858, 81, 4295, 711, 284, 2599, 26, 57, 1006, 5280, 20624, 30, 630, 547, 11162, 2529, 1969, 26, 1637, 81, 858, 81, 4295, 27, 284, 1938, 280, 1938, 81, 858, 81, 4295, 32, 1700, 81, 1637, 284, 415, 1938, 81, 858, 81, 4295, 32, 1700, 81, 1637, 81, 1945, 32, 7815, 44, 397, 1459, 3776, 630, 1114, 2024, 81, 2238, 30, 13198, 225, 28688, 225, 1481, 370, 1938, 32, 2751, 81, 426, 30, 308, 616, 330, 7846, 34, 32, 88, 6733, 9905, 904, 630, 1114, 936, 11071, 1157, 284, 813, 44, 397, 1459, 3776, 630, 1114, 2024, 81, 2238, 30, 13198, 958, 9199, 1481, 370, 1938, 32, 2751, 81, 426, 30, 308, 616, 330, 7846, 34, 32, 88, 6733, 9905, 904, 630, 1114, 936, 11071, 1157, 284, 630, 1114, 2024, 81, 2238, 32, 9321, 346, 334, 665, 13508, 23922, 1969, 2529, 26, 784, 30, 1938, 81, 858, 81, 4295, 30, 11549, 81, 998, 30, 1769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 11, 10, 11, 10, 8, 8, 9, 10, 7, 6, 6, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 7, 4, 4, 5, 7, 8, 7, 7, 8, 9, 9, 7, 5, 5, 7, 8, 9, 10, 10, 10, 7, 7, 9, 10, 10, 10, 10, 9, 9, 9, 10, 11, 11, 11, 9, 6, 6, 10, 11, 11, 11, 9, 10, 9, 5, 5, 6, 8, 9, 8, 8, 9, 10, 10, 8, 6, 6, 8, 9, 10, 11, 11, 11, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 12, 13, 11, 12, 12, 12, 10, 10, 11, 12, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 6, 7, 8, 8, 8, 5, 5, 7, 7, 7, 7, 5, 6, 6, 9, 9, 9, 9, 8, 9, 9, 9, 7, 8, 8, 8, 6, 4, 4, 8, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 4, 4, 6, 6, 8, 8, 8, 8, 7, 8, 8, 8, 4, 4, 5, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 7, 5, 5, 5, 7, 8, 9, 10, 10, 10, 7, 7, 9, 9, 9, 9, 9, 7, 8, 9, 9, 9, 7, 7, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 11, 12, 12, 11, 5, 5, 6, 6, 6, 8, 9, 10, 11, 11, 11, 8, 8, 10, 10, 10, 10, 8, 9, 10, 10, 10, 8, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 10, 12, 13, 13, 12, 4, 4, 8, 9, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 5, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 5, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 5, 2, 2, 2, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 5, 2, 2, 2, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 19493, 203, 465, 2322, 203, 465, 45301, 983, 203, 465, 6314, 203, 1070, 638, 1188, 7328, 30, 1048, 30, 3619, 8524, 30, 4527, 203, 1070, 638, 91, 35, 42, 96, 1188, 617, 203, 589, 617, 5729, 6008, 26, 101, 711, 284, 442, 7328, 32, 22540, 1333, 686, 6008, 26, 101, 32, 5729, 1157, 203, 823, 1519, 14004, 1518, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3051, 30, 3309, 47, 2521, 30, 4011, 2548, 47, 1815, 30, 10814, 47, 2700, 711, 291, 630, 32, 16676, 318, 280, 739, 346, 291, 630, 32, 16676, 318, 1515, 280, 739, 346, 291, 630, 32, 2388, 280, 3051, 291, 630, 1114, 4543, 2548, 280, 4011, 2548, 291, 630, 1114, 10569, 280, 10814, 291, 630, 32, 4383, 280, 3309, 291, 415, 2322, 32, 983, 32, 1909, 3045, 26, 2388, 27, 461, 646, 4527, 32, 88, 545, 5633, 10467, 26, 2388, 711, 324, 630, 32, 7927, 1732, 280, 4527, 32, 7927, 1732, 291, 813, 44, 324, 630, 32, 7927, 1732, 280, 9254, 816, 44, 816, 284, 665, 1156, 1851, 3207, 784, 30, 1519, 30, 2926, 47, 2521, 711, 291, 1519, 280, 4527, 32, 1696, 983, 26, 983, 27, 291, 12356, 49149, 280, 630, 32, 7927, 1732, 26, 983, 27, 291, 415, 12356, 49149, 328, 630, 32, 16676, 318, 44, 324, 442, 291, 415, 4527, 32, 20643, 12595, 26, 983, 711, 324, 3636, 1048, 32, 20367, 41648, 983, 15564, 328, 3362, 17584, 44, 904, 101, 657, 904, 1519, 27, 291, 8710, 280, 4527, 32, 2998, 983, 26, 983, 27, 291, 415, 308, 324, 2322, 32, 983, 32, 2998, 13718, 26, 983, 5594, 34, 79, 324, 556, 617, 5729, 6008, 26, 10031, 77, 34, 1130, 328, 308, 2296, 21542, 392, 4939, 21542, 4414, 7746, 324, 556, 2322, 32, 568, 1515, 328, 8710, 291, 8063, 324, 3636, 1048, 32, 20367, 41648, 983, 4304, 24220, 2577, 44, 904, 101, 657, 904, 1519, 27, 291, 436, 298, 328, 8710, 44, 324, 415, 18163, 20, 328, 298, 44, 400, 1932, 30, 2401, 280, 298, 32, 2998, 440, 112, 392, 225, 35, 27, 400, 415, 2401, 32, 44065, 346, 461, 1932, 32, 7607, 346, 328, 3037, 21224, 392, 313, 21224, 42, 52, 40, 53, 18270, 528, 3636, 1048, 32, 20367, 41648, 983, 4304, 24220, 2577, 44, 904, 101, 657, 904, 1519, 27, 291, 415, 4939, 21542, 20, 328, 617, 5729, 6008, 26, 983, 711, 324, 456, 10031, 280, 20300, 5729, 6008, 26, 98, 32, 5729, 1157, 436, 298, 328, 8710, 79, 324, 436, 298, 328, 4939, 21542, 392, 4939, 21542, 32, 563, 400, 415, 298, 328, 456, 10031, 77, 35, 44, 2786, 528, 3400, 280, 456, 10031, 32, 1055, 26, 98, 27, 528, 1695, 280, 2322, 32, 983, 32, 2524, 2740, 10031, 2867, 966, 1130, 528, 3636, 1048, 32, 20367, 26, 715, 26155, 983, 6611, 101, 25, 438, 6517, 11815, 5867, 904, 100, 657, 904, 308, 983, 30, 1695, 27, 528, 829, 291, 12356, 317, 29196, 280, 4527, 32, 2998, 983, 26, 19573, 49149, 27, 291, 1201, 2069, 26, 10031, 27, 610, 2069 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 4, 4, 4, 4, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 6, 6, 6, 5, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 5, 9, 10, 8, 9, 9, 8, 9, 8, 6, 6, 7, 9, 10, 10, 10, 10, 9, 10, 9, 5, 5, 9, 10, 10, 8, 8, 9, 10, 10, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 10, 10, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 5, 7, 6, 6, 7, 8, 8, 5, 5, 5, 4, 4, 5, 7, 8, 8, 7, 8, 7, 5, 5, 7, 9, 10, 9, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 9, 4, 4, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 5, 6, 6, 12, 13, 11, 12, 12, 11, 12, 11, 10, 9, 8, 8, 8, 11, 11, 11, 13, 12, 13, 12, 9, 9, 12, 12, 12, 10, 12, 12, 10, 7, 7, 7, 9, 10, 10, 8, 8, 6, 6, 5, 5, 7, 9, 10, 9, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 9, 4, 4, 5, 5, 5, 5, 5, 5, 7, 10, 8, 8, 7, 7, 7, 11, 11, 10, 10, 12, 13, 12, 14, 14, 12, 13, 12, 8, 8, 9, 12, 13, 12, 10, 10, 13, 14, 13, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 9, 9, 11, 13, 14, 13, 18, 18, 18, 18, 18, 18, 18, 18, 14, 14, 13, 4, 4, 5, 8, 8, 6, 6, 8, 8, 8, 9, 8, 5, 5, 9, 8, 8, 11, 11, 11, 14, 13, 14, 13, 9, 10, 10, 10, 9, 6, 6, 7, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 9, 10, 10, 12, 11, 13, 12, 11, 9, 9, 12, 12, 15, 14, 15, 14, 15, 14, 10, 10, 12, 12, 15, 16, 14, 15, 14, 17, 16, 18, 16, 10, 10, 11, 13, 14, 13, 13, 13, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 14, 14, 16, 15, 15, 15, 13, 13, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 9, 9, 8, 4, 4, 5, 8, 9, 8, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 7, 2, 2, 2, 9, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 6, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 6, 6, 0, 2, 2, 0, 0, 2, 2, 2, 6, 6, 4, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 3, 0, 2, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 3, 3, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 7, 1, 2, 1, 1, 0, 0, 1, 1, 1, 7, 7, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 3, 3, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 9, 1, 1, 1, 1, 1 ]
[ 465, 5741, 203, 465, 5237, 203, 1070, 8527, 32, 1199, 32, 11514, 1188, 319, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 19577, 81, 39238, 331, 2323, 36, 32, 14663, 1188, 6716, 11208, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 19577, 81, 39238, 331, 2323, 36, 32, 1580, 1188, 6716, 1486, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 19577, 81, 39238, 331, 2323, 36, 32, 16777, 1188, 6716, 12608, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 19577, 81, 39238, 331, 2323, 36, 32, 1648, 1188, 622, 81, 1648, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 19577, 81, 39238, 331, 2323, 36, 32, 410, 32402, 1188, 6716, 1428, 32402, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 466, 203, 1070, 8527, 32, 2304, 32, 18651, 1188, 10814, 81, 2433, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 21763, 1031, 30, 21763, 3644, 203, 1070, 8527, 32, 2304, 32, 18218, 1188, 8186, 85, 203, 1270, 44, 284, 1188, 29252, 331, 2323, 36, 619, 6716, 284, 1188, 29252, 331, 2323, 36, 32, 9081, 203, 7343, 29986, 619, 484, 44, 284, 645, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 284, 3636, 19444, 462, 631, 30096, 440, 924, 7742, 29252, 331, 2323, 36, 2297, 44, 904, 101, 20, 904, 484, 27, 203, 3954, 924, 280, 6716, 32, 3954, 924, 203, 9191, 543, 924, 280, 6716, 32, 9191, 543, 924, 203, 39238, 331, 2323, 36, 32, 9081, 32, 3317, 81, 681, 26, 39238, 331, 2323, 36, 32, 9081, 32, 29978, 27, 203, 39238, 331, 2323, 36, 32, 9081, 32, 3317, 81, 8713, 26, 11691, 3644, 30, 29252, 331, 2323, 36, 32, 9081, 32, 42160, 652, 27, 203, 39238, 331, 2323, 36, 32, 9081, 32, 3317, 81, 8713, 26, 11691, 1031, 30, 29252, 331, 2323, 36, 32, 9081, 32, 42160, 652, 27, 203, 4073, 280, 5741, 32, 10579, 463, 11025, 32, 1199, 32, 11514, 683, 203, 589, 8186, 85, 81, 10185, 1338, 81, 5792, 26, 2881, 711, 284, 415, 3401, 863, 225, 34, 44, 291, 3636, 34835, 440, 4603, 3387, 7735, 1330, 739, 372, 17197, 657, 284, 442, 8186, 85, 203, 823, 6716, 9554, 26, 1761, 3954, 9554, 711, 284, 5652, 81, 6665, 81, 800, 81, 2405, 280, 3177, 284, 883, 81, 601, 81, 314, 81, 1070, 81, 3215, 280, 2933, 284, 7171, 81, 24654, 81, 267, 81, 19796, 81, 6554, 280, 2933, 284, 1401, 81, 4543, 81, 24501, 280, 2933, 284, 883, 81, 7353, 81, 12704, 81, 17615, 280, 2933, 284, 1401, 81, 1613, 81, 979, 81, 1877, 280, 2933, 284, 1401, 81, 1613, 81, 979, 81, 1877, 81, 2174, 1134, 280, 2933, 284, 1401, 81, 17245, 81, 3215, 280, 2933, 284, 5251, 81, 2853, 3953, 280, 2933, 284, 9567, 81, 1274, 8732, 280, 2933, 284, 9567, 81, 16242, 280, 2933, 284, 883, 81, 25524, 81, 267, 81, 4151, 280, 2933, 203, 823, 6716, 4672, 26, 1761, 3954, 4672, 711, 284, 16403, 280, 330, 19577, 25, 284, 15568, 280, 301, 291, 330, 16925, 950, 36510, 904, 101, 370, 291, 330, 91, 16925, 950, 36510, 38996, 7846, 101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 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, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 6, 6, 6, 4, 4, 2, 2, 3, 5, 5, 5, 4, 5, 1, 2, 2, 3, 3, 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, 9, 9, 7, 7, 6, 0, 3, 3, 2, 2, 3, 4, 4, 0, 3, 3, 3, 2, 2, 3, 4, 4, 4, 0, 5, 5, 5, 5, 4, 5, 3, 4, 4, 4, 3, 6, 6, 6, 6, 5, 6, 4, 5, 3, 0, 5, 5, 5, 5, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 3, 6, 6, 6, 5, 6, 4, 5, 5, 3, 0, 5, 5, 5, 5, 4, 5, 3, 4, 4, 4, 3, 4, 4, 3, 3, 6, 6, 6, 5, 6, 4, 5, 5, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 1, 8, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 1, 8, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 1, 8, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 1, 8, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 1, 8, 8, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 4, 4, 10, 10, 0, 10, 10, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 12, 12, 12, 12, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 12, 3, 3, 1, 1, 3, 3, 3, 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, 2, 1, 1, 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, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 19, 19, 1, 1, 1, 1, 1, 1, 2, 1, 2, 19, 19, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 0, 20, 20, 1, 2, 1, 1, 1, 2, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 21, 1, 2, 1, 1, 1, 2, 21, 21, 0, 0, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1 ]
[ 1070, 298, 1271, 32, 1262, 1188, 5296, 30, 2772, 1151, 203, 1070, 298, 1271, 32, 1356, 32, 268, 654, 32, 268, 654, 1188, 3903, 13976, 203, 465, 298, 1271, 32, 45409, 32, 45409, 619, 15224, 13224, 203, 465, 298, 1271, 32, 22580, 32, 22580, 619, 22449, 203, 465, 5237, 203, 465, 26313, 203, 465, 7060, 203, 465, 1133, 203, 465, 1933, 203, 465, 6234, 203, 465, 19571, 203, 1070, 13625, 1188, 636, 41766, 203, 2333, 3277, 280, 636, 41766, 463, 2333, 3277, 370, 330, 106, 314, 5932, 81, 426, 683, 203, 823, 22786, 1917, 26, 1151, 13976, 30, 22449, 32, 1917, 711, 334, 665, 1156, 1664, 3207, 784, 30, 636, 711, 284, 3903, 13976, 3667, 1664, 3207, 784, 27, 284, 22449, 32, 1917, 3667, 1664, 3207, 784, 30, 636, 27, 284, 630, 32, 426, 280, 636, 284, 630, 32, 751, 280, 5296, 32, 10579, 26, 426, 27, 284, 630, 32, 22580, 280, 22449, 32, 20365, 440, 28904, 6069, 101, 20, 904, 630, 32, 426, 27, 284, 630, 32, 12220, 705, 26, 784, 32, 22580, 30, 313, 22580, 657, 284, 630, 1114, 1786, 81, 3841, 280, 1665, 284, 630, 1114, 28111, 81, 18908, 280, 1605, 284, 5296, 32, 45409, 32, 24347, 26, 45409, 32, 33602, 35357, 30, 630, 1114, 3317, 81, 1793, 81, 1786, 27, 334, 665, 617, 3317, 81, 1793, 81, 1786, 26, 784, 30, 1692, 711, 284, 630, 32, 751, 32, 2811, 440, 1076, 38579, 372, 3909, 623, 31096, 2059, 657, 284, 13363, 280, 6234, 32, 4817, 346, 284, 13363, 32, 3517, 26146, 5007, 392, 41, 41, 43, 34, 490, 284, 630, 1114, 1786, 81, 3841, 280, 15224, 13224, 32, 12364, 33602, 2798, 26, 4817, 280, 13363, 27, 284, 630, 1114, 1786, 81, 3841, 32, 24347, 26, 45409, 32, 1175, 10916, 30, 630, 1114, 2956, 81, 1175, 10916, 27, 284, 630, 32, 751, 32, 2811, 440, 28149, 13334, 81, 1786, 31115, 657, 284, 630, 1114, 1786, 81, 3841, 32, 2714, 15520, 10811, 81, 1786, 81, 40110, 563, 784, 32, 426, 1748, 284, 630, 32, 751, 32, 2811, 440, 10811, 81, 1786, 4091, 3914, 1062, 4618, 769, 11926, 622, 1326, 657, 284, 630, 1114, 1786, 81, 3841, 32, 2714, 15520, 371, 563, 2521, 1748, 284, 630, 32, 751, 32, 2811, 440, 371, 1326, 4618, 32, 23569, 14884, 2899, 657, 284, 630, 1114, 1786, 81, 3841, 32, 1366, 346, 334, 665, 617, 2956, 81, 1175, 10916, 308, 784, 30, 1692, 30, 3124, 711, 284, 1692, 32, 13678, 346, 284, 415, 1692, 32, 468, 32, 297, 23422, 2262, 397, 540, 280, 1692, 32, 468, 32, 850, 346, 397, 415, 827, 26, 100, 27, 438, 646, 5436, 44, 291, 630, 32, 751, 32, 8447, 440, 1436, 1597, 646, 312, 5436, 15981, 291, 442, 397, 630, 32, 751, 32, 2811, 440, 1175, 6584, 30, 827, 44, 904, 101, 22258, 904, 540, 32, 3494, 1157, 397, 415, 313, 10811, 81, 1877, 20, 328, 540, 44, 291, 630, 32, 10811, 81, 1877, 26, 100, 1365, 10811, 81, 1877, 6890, 284, 813, 44, 397, 630, 32, 751, 32, 2811, 10359, 19509, 11281, 657, 334, 665, 13334, 81, 1877, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 3, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 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, 1, 3, 0, 3, 3, 2, 2, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 11, 11, 11, 11, 9, 9, 10, 11, 8, 4, 4, 7, 8, 8, 7, 9, 8, 9, 7, 7, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 10, 10, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 8, 10, 9, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 9, 9, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 10, 11, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 9, 9, 7, 8, 7, 11, 11, 10, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 4, 4, 5, 8, 9, 7, 8, 8, 7, 5, 5, 8, 8, 11, 12, 10, 11, 10, 6, 6, 7, 10, 11, 10, 8, 8, 8, 7, 7, 7, 12, 13, 11, 12, 11, 13, 13, 13, 13, 13, 13, 8, 8, 6, 6, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 13, 12, 6, 6, 7, 10, 10, 10, 10, 8, 8, 7, 7, 7, 11, 12, 12, 12, 11, 13, 12, 14, 14, 14, 14, 5, 5, 6, 6, 6, 11, 12, 10, 11, 10, 12, 12, 12, 2, 2, 3, 4, 4, 4 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 1, 6, 6, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 4, 1, 1, 2, 0, 3, 3, 0, 0, 2, 0, 4, 1, 1, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 2, 1, 1, 2, 2, 3, 2, 2, 13, 13, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 2, 3, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 3, 3, 3, 1, 1, 1, 2, 1, 1, 3, 3, 3, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2 ]
[ 465, 5741, 203, 465, 2322, 203, 465, 1133, 203, 1070, 31074, 1188, 14770, 203, 465, 6436, 619, 2065, 203, 465, 5589, 203, 465, 5589, 32, 8311, 203, 465, 5589, 32, 2304, 32, 605, 203, 1070, 1845, 327, 32, 13449, 1188, 22786, 750, 13722, 619, 475, 8146, 203, 1070, 1845, 327, 32, 8311, 9229, 1188, 506, 3985, 31604, 203, 1070, 1845, 327, 1188, 17501, 203, 465, 14938, 14460, 81, 35271, 203, 1070, 8690, 36, 4948, 32, 3239, 32, 4426, 81, 8311, 9229, 1188, 506, 98, 35, 40, 29248, 203, 1070, 8690, 36, 4948, 32, 3239, 32, 4426, 81, 8311, 9229, 1188, 506, 98, 37, 36, 29248, 203, 1070, 8690, 36, 4948, 32, 3239, 32, 4426, 81, 8311, 9229, 1188, 42249, 29248, 203, 1070, 8690, 36, 4948, 32, 2304, 1188, 26891, 19874, 203, 1070, 8690, 36, 4948, 32, 2304, 1188, 14938, 14460, 81, 1216, 203, 1070, 8690, 36, 4948, 32, 2304, 1188, 7652, 81, 17733, 203, 1070, 8690, 36, 4948, 32, 2304, 1188, 622, 81, 5860, 81, 891, 203, 823, 12816, 36, 8712, 39465, 44, 284, 665, 1156, 1664, 3207, 784, 30, 353, 1542, 30, 353, 29502, 30, 353, 2919, 81, 1163, 30, 353, 1459, 81, 11044, 47, 35, 34, 30, 353, 4131, 81, 11044, 47, 35, 34, 34, 34, 30, 353, 8056, 81, 10361, 47, 1808, 463, 5267, 1425, 353, 5254, 81, 2232, 47, 2700, 30, 353, 4131, 81, 1338, 34444, 353, 4131, 81, 983, 1057, 6418, 353, 5683, 81, 22400, 47, 34, 30, 353, 18578, 81, 3607, 1057, 17141, 23, 101, 32, 3167, 370, 353, 4986, 81, 1553, 3953, 47, 39, 30, 353, 7744, 1057, 4426, 37, 36, 370, 353, 7699, 81, 21250, 34444, 353, 16601, 47, 1815, 30, 353, 2728, 47, 2700, 30, 353, 2728, 81, 22879, 81, 464, 8920, 47, 2700, 30, 353, 2728, 81, 22879, 81, 1516, 81, 464, 8920, 81, 15189, 47, 35, 30, 353, 2728, 81, 22879, 81, 464, 8920, 81, 1436, 891, 47, 35, 87, 41, 30, 353, 2728, 81, 22879, 81, 464, 8920, 81, 508, 6269, 4044, 47, 2521, 30, 353, 48479, 81, 8836, 81, 6569, 47, 34, 30, 353, 1406, 3558, 81, 2816, 1057, 12149, 370, 353, 3850, 81, 891, 47, 35, 30, 353, 9541, 47, 2700, 711, 291, 2599, 26, 8712, 36, 8712, 39465, 30, 630, 14585, 1664, 16369, 291, 630, 32, 1160, 280, 1542, 291, 630, 32, 33553, 280, 29502, 291, 630, 32, 8836, 280, 225, 34, 291, 630, 32, 2853, 81, 1338, 280, 4131, 81, 1338, 291, 630, 32, 2853, 81, 983, 280, 4131, 81, 983, 291, 630, 32, 2853, 81, 11044, 280, 4131, 81, 11044, 291, 630, 32, 2853, 81, 4680, 280, 225, 34, 291, 630, 32, 17141, 81, 3607, 280, 18578, 81, 3607, 291, 630, 32, 17141, 81, 4680, 280, 14770, 26, 3585, 26, 10504, 81, 1553, 3953, 490, 291, 630, 32, 2215, 81, 1163, 280, 2919, 81, 1163, 291, 630, 32, 9615, 280, 16601, 291, 630, 32, 17935, 280, 2728, 291, 630, 32, 1216, 81, 11044, 280, 1459, 81, 11044, 291, 630, 32, 4432, 81, 2232, 280, 5254, 81, 2232, 291, 630, 32, 10529, 280, 9541, 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, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 2, 2, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 6, 6, 5, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 4, 4, 4, 6, 6, 5, 7, 7, 9, 9, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 4, 4, 6, 6, 5, 7, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 5, 7, 7, 7, 7, 4, 4, 6, 6, 5, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 7, 7, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 10, 10, 11, 11, 11, 11, 10, 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, 7, 4, 4, 7, 8, 6, 6, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 1, 0, 5, 5, 0, 6, 6, 1, 2, 0, 7, 7, 1, 2, 1, 4, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 3, 3, 2, 0, 9, 9, 0, 1, 2, 2, 9, 9, 0, 0, 0, 10, 10, 0, 10, 10, 0, 11, 11, 0, 0, 0, 0, 12, 12, 0, 0, 1, 2, 1, 4, 4, 4, 4, 12, 12, 0, 0, 0, 0, 0, 13, 13, 0, 0, 1, 2, 1, 4, 4, 4, 4, 13, 13, 0, 0, 0, 0, 0, 14, 14, 0, 0, 1, 2, 1, 4, 4, 4, 4, 14, 14, 0, 0, 15, 15, 0, 0, 1, 2, 15, 15, 0, 0, 16, 16, 0, 0, 1, 2, 16, 16, 0, 0, 0, 0, 17, 17, 0, 0, 1, 2, 17, 17, 0, 0, 0, 18, 18, 0, 0, 1, 2, 18, 18, 0, 0, 0, 0, 0, 19, 19, 1, 1, 1, 19, 19, 19, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 2, 2, 2, 2, 0, 0, 13, 0, 1, 1, 2, 2, 2, 0, 0, 15, 2, 2, 2, 2, 0, 0, 17, 2, 2, 0, 0, 19, 1, 2, 2, 0, 0, 21, 2, 2, 2, 2, 0, 0, 23, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 25, 2, 2, 2, 2, 27, 1, 1, 1, 2, 2, 2, 0, 0, 29, 2, 2, 31, 2, 2, 2, 2, 33, 2, 2, 2, 2, 0, 0, 0, 0, 0, 35, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 39, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41, 2, 2, 2, 2, 0, 0, 0, 0, 43, 2, 2, 2, 2, 0, 0, 0, 45, 1, 2, 2, 2, 0, 0, 47, 2, 2, 2, 2, 49, 2, 2, 0, 0, 1, 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, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 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, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4 ]
[ 465, 1695, 40, 38, 203, 465, 7138, 203, 465, 5741, 203, 465, 1133, 203, 465, 11171, 203, 465, 3995, 203, 465, 4281, 1260, 203, 465, 3089, 749, 98, 203, 1070, 3089, 749, 98, 32, 525, 1188, 1326, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 30, 3829, 203, 1070, 3089, 749, 98, 32, 4280, 32, 14481, 1188, 4040, 81, 8094, 81, 31141, 81, 9302, 203, 1070, 3089, 749, 98, 32, 23403, 32, 4891, 32, 4891, 1188, 16739, 4241, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 5976, 16779, 81, 20746, 280, 16739, 4241, 474, 225, 39, 203, 7278, 2730, 81, 20746, 280, 225, 40, 34, 34, 225, 203, 823, 3960, 81, 6172, 81, 26017, 81, 1293, 26, 500, 104, 32, 1243, 711, 284, 617, 426, 280, 330, 449, 81, 6172, 32, 26017, 81, 1293, 25, 284, 617, 1274, 280, 313, 449, 81, 6172, 81, 2848, 81, 575, 81, 3707, 81, 2808, 20, 284, 617, 6057, 280, 301, 291, 313, 1293, 20, 499, 3829, 32, 8319, 2009, 463, 1676, 370, 330, 2961, 1425, 2726, 8025, 981, 370, 330, 56, 362, 981, 1425, 2726, 10687, 370, 330, 13624, 683, 5727, 291, 313, 2848, 81, 314, 20, 499, 3829, 32, 11374, 36, 658, 463, 449, 81, 6172, 32, 2848, 370, 330, 3135, 370, 2129, 47, 1815, 30, 544, 2560, 347, 26640, 2113, 291, 313, 496, 81, 314, 20, 499, 3829, 32, 11374, 36, 658, 463, 575, 32, 3707, 370, 330, 3699, 370, 2129, 47, 1815, 30, 544, 2560, 347, 26640, 2113, 284, 320, 284, 617, 10514, 280, 301, 291, 313, 1293, 20, 499, 330, 1676, 25, 284, 320, 203, 823, 3960, 81, 6172, 81, 2848, 26, 500, 104, 32, 1243, 711, 284, 617, 1174, 280, 330, 314, 5585, 25, 284, 617, 426, 280, 330, 449, 81, 6172, 32, 2848, 25, 284, 617, 4875, 81, 426, 280, 330, 6572, 25, 284, 617, 6057, 280, 301, 291, 330, 6572, 950, 3829, 32, 1594, 463, 7595, 370, 1334, 47, 39, 34, 30, 2192, 47, 1815, 471, 291, 330, 1436, 81, 3631, 950, 3829, 32, 658, 36, 11374, 463, 449, 81, 6172, 32, 1436, 370, 330, 452, 81, 314, 370, 330, 6384, 1425, 291, 330, 496, 81, 3631, 950, 3829, 32, 11374, 36, 11374, 463, 575, 32, 3707, 370, 330, 449, 81, 6172, 81, 2848, 81, 575, 81, 3707, 81, 2808, 370, 330, 2848, 81, 314, 370, 330, 496, 81, 314, 370, 313, 3135, 14217, 2113, 291, 330, 2848, 81, 575, 81, 3707, 81, 2808, 950, 3829, 32, 658, 36, 11374, 463, 449, 81, 6172, 32, 26017, 81, 1293, 370, 330, 2848, 81, 314, 370, 330, 12338, 6548, 14217, 1425, 284, 320, 284, 617, 10514, 280, 301, 291, 330, 6572, 950, 9254, 319, 1132, 44, 6611, 101, 25, 904, 11171, 32, 6572, 38, 1026, 284, 320, 284, 665, 438, 81, 266, 81, 2848, 26, 784, 30, 5564, 30, 12373, 30, 11171, 30, 1256, 81, 314, 30, 1619, 47, 2521, 711, 291, 309, 3631, 280, 630, 32, 1903, 26, 2446, 30, 12373, 30, 41449, 6572, 370, 16509, 11171, 14155, 1619, 47, 1819, 30, 2723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 10, 12, 12, 10, 12, 12, 9, 12, 12, 12, 10, 12, 12, 12, 12, 9, 12, 12, 10, 12, 12, 9, 5, 5, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 8, 9, 10, 8, 8, 10, 9, 11, 11, 5, 5, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 8, 9, 10, 8, 8, 10, 9, 11, 11, 5, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 6, 8, 8, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 8, 9, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 5, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 7, 10, 7, 7, 10, 10, 8, 8, 10, 11, 11, 10, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 7, 6, 6, 8, 9, 8, 9, 8, 8, 8, 8, 12, 12, 10, 10, 10, 8, 9, 10, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 8, 8, 0, 9, 9, 0, 0, 1, 2, 2, 9, 9, 0, 9, 9, 0, 10, 10, 0, 0, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 1, 2, 1, 4, 1, 6, 11, 11, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 15, 15, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 15, 15, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 2, 5, 1, 2, 1, 2, 2, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 2, 1, 1, 0, 7, 1, 2, 2, 2, 1, 1, 1, 2, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 2, 1, 1, 0, 7, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 16, 16, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 16, 16, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 3, 2, 2, 1, 1, 5, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 7, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 3, 3, 0, 2, 2, 1, 2, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 11, 2, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 7, 2, 1, 1 ]
[ 589, 21438, 1263, 81, 4924, 81, 3521, 26, 106, 711, 442, 816, 203, 93, 17953, 37232, 280, 21438, 1263, 81, 4924, 81, 3521, 463, 37791, 683, 203, 93, 1722, 27101, 280, 21438, 1263, 81, 4924, 81, 3521, 463, 349, 1140, 683, 203, 93, 1722, 7886, 27101, 280, 21438, 1263, 81, 4924, 81, 3521, 463, 349, 3806, 683, 203, 93, 4277, 39764, 280, 225, 34, 203, 93, 4277, 1722, 37202, 280, 225, 34, 203, 93, 4277, 1722, 37232, 280, 225, 34, 203, 93, 4277, 1722, 4629, 6275, 280, 225, 34, 203, 4923, 1622, 9085, 280, 225, 35, 62, 1264, 225, 36, 43, 203, 4923, 73, 2376, 4329, 1175, 280, 225, 35, 62, 1264, 225, 37, 35, 203, 93, 1722, 2961, 1908, 280, 429, 35, 203, 93, 1722, 4173, 1908, 280, 429, 36, 203, 93, 1722, 4445, 2555, 1908, 280, 429, 37, 203, 93, 1722, 2062, 1908, 280, 429, 38, 203, 93, 1722, 4329, 1908, 280, 429, 39, 203, 93, 1722, 2922, 1908, 280, 429, 40, 203, 93, 1722, 41522, 1908, 280, 429, 41, 203, 93, 1722, 936, 1456, 2986, 2447, 1908, 280, 429, 42, 203, 93, 1722, 7083, 73, 3911, 1711, 1908, 280, 429, 43, 203, 93, 1722, 936, 5991, 2291, 1908, 280, 429, 35, 34, 203, 2292, 2555, 4741, 2062, 280, 308, 35, 1264, 225, 34, 27, 203, 2292, 73, 2376, 41522, 280, 308, 35, 1264, 225, 35, 27, 203, 2292, 4741, 2062, 8509, 4629, 280, 308, 35, 1264, 225, 36, 27, 203, 2292, 3993, 11726, 39404, 280, 308, 35, 1264, 225, 37, 27, 203, 2292, 3013, 721, 4840, 280, 308, 35, 1264, 225, 38, 27, 203, 1536, 1722, 9594, 1578, 280, 225, 34, 203, 1536, 1722, 4277, 4629, 280, 225, 35, 203, 1536, 1722, 4277, 37232, 280, 225, 36, 203, 1536, 1722, 4277, 37202, 280, 225, 38, 203, 1536, 1722, 4277, 4629, 4277, 37232, 280, 308, 1536, 1722, 4277, 4629, 474, 1244, 1722, 4277, 37232, 27, 203, 1536, 1722, 4277, 4629, 4277, 37232, 4277, 37202, 280, 308, 1536, 1722, 4277, 4629, 474, 1244, 1722, 4277, 37232, 474, 1244, 1722, 4277, 37202, 27, 203, 3317, 1722, 4455, 280, 225, 35, 203, 3317, 1722, 2023, 41445, 280, 225, 36, 203, 3317, 1722, 5125, 18119, 280, 225, 38, 203, 3317, 1722, 25031, 4495, 280, 225, 42, 203, 5134, 40, 42, 93, 280, 225, 35, 203, 5134, 6768, 3429, 280, 225, 36, 203, 5134, 1646, 1001, 3251, 280, 225, 37, 203, 5134, 8473, 37, 36, 280, 225, 38, 203, 5134, 6768, 3429, 6134, 19147, 280, 225, 39, 203, 317, 2986, 5260, 2555, 2986, 280, 308, 35, 1264, 225, 34, 27, 203, 317, 2986, 5260, 2555, 11932, 280, 308, 35, 1264, 225, 35, 27, 203, 317, 2986, 5260, 4001, 2986, 2227, 280, 308, 35, 1264, 225, 36, 27, 203, 317, 2986, 5260, 41426, 2227, 280, 308, 35, 1264, 225, 37, 27, 203, 317, 2986, 5260, 936, 6861, 1534, 280, 308, 35, 1264, 225, 38, 27, 203, 317, 2986, 5260, 936, 1622, 9514, 280, 308, 35, 1264, 225, 40, 27, 203, 4923, 7886, 2023, 4629, 280, 225, 34, 203, 4923, 7886, 4495, 2272, 974, 280, 225, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3 ]
[ 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
[ 465, 29310, 203, 1070, 14244, 1188, 9203, 352, 30, 8745, 203, 1647, 81, 681, 280, 8745, 32, 14540, 620, 440, 1167, 2297, 657, 203, 589, 2297, 81, 668, 2262, 284, 3649, 2297, 81, 681, 284, 2297, 81, 1753, 81, 681, 280, 2297, 81, 681, 32, 371, 81, 681, 922, 6805, 346, 284, 7896, 280, 29310, 32, 2208, 81, 363, 81, 6569, 440, 3477, 657, 284, 3414, 280, 7896, 710, 1978, 785, 284, 943, 81, 1028, 81, 668, 280, 7896, 32, 2468, 284, 2218, 3414, 863, 943, 81, 1028, 81, 668, 44, 291, 6761, 8745, 32, 2630, 81, 1028, 26, 3038, 30, 2297, 81, 1753, 81, 681, 30, 313, 668, 657, 291, 3414, 280, 3414, 710, 1978, 785, 203, 589, 2290, 81, 1647, 81, 1170, 81, 426, 26, 426, 711, 284, 436, 2297, 328, 2297, 81, 668, 2262, 291, 415, 2297, 710, 426, 5695, 800, 346, 610, 636, 44, 324, 442, 2297, 284, 442, 1665, 203, 823, 498, 106, 2459, 26, 22665, 32, 2447, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 46239, 2459, 30, 630, 14585, 1664, 46732, 16888, 81, 1647, 657, 284, 665, 11319, 26, 784, 30, 2047, 81, 426, 711, 291, 2047, 81, 426, 280, 2047, 81, 426, 32, 800, 346, 291, 2297, 280, 2290, 81, 1647, 81, 1170, 81, 426, 26, 1803, 81, 426, 27, 291, 415, 2297, 44, 324, 442, 2297, 32, 23881, 1787, 346, 291, 813, 44, 324, 3636, 29310, 32, 57, 1199, 924, 440, 12014, 372, 2290, 30522, 313, 474, 2047, 81, 426, 27, 203, 46239, 2459, 346, 203, 823, 498, 106, 62, 1745, 431, 26, 22665, 32, 2019, 711, 284, 617, 1647, 81, 539, 81, 681, 280, 8745, 32, 14540, 620, 440, 1167, 2297, 81, 539, 657, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 46239, 62, 1745, 431, 30, 630, 14585, 1664, 46732, 16888, 31, 94, 1745, 431, 392, 29310, 32, 12252, 81, 4601, 27, 284, 665, 11319, 26, 784, 30, 1638, 30, 645, 81, 8364, 711, 291, 29310, 32, 1821, 26, 324, 313, 2438, 109, 34, 111, 264, 7703, 5688, 8660, 225, 12781, 810, 78, 96, 2296, 1643, 26, 400, 313, 351, 313, 415, 8745, 32, 371, 81, 3222, 81, 681, 922, 7545, 610, 225, 42, 813, 34612, 291, 436, 2297, 328, 2297, 81, 668, 2262, 324, 29310, 32, 1821, 15062, 2468, 111, 301, 426, 14006, 35, 43, 111, 301, 891, 44, 48, 42, 111, 225, 301, 612, 16054, 1643, 26, 400, 2965, 47, 466, 26, 1647, 710, 1647, 81, 1262, 21229, 2998, 8532, 34, 614, 400, 636, 47, 1647, 710, 426, 5695, 800, 1026, 400, 1334, 47, 466, 26, 1647, 710, 1262, 81, 891, 16578, 400, 2488, 47, 466, 26, 1647, 710, 612, 7858, 4902, 4680, 785, 2610, 324, 1914, 81, 668, 280, 2297, 710, 1855, 81, 668, 785, 324, 273, 280, 630, 1114, 1647, 81, 539, 81, 681, 32, 371, 81, 681, 922, 6805, 346, 324, 3414, 280, 1914, 81, 668, 710, 1978, 785, 324, 1932, 280, 2933, 324, 2218, 3414, 863, 1914, 81, 668, 32, 2468, 44, 400, 793, 280, 8745, 32, 2630, 81, 1028 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 9, 9, 8, 9, 9, 9, 8, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 2, 2, 4, 4, 5, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 5, 6, 2, 2, 3, 4, 4, 5, 5, 5, 5, 3, 3, 3, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9, 9, 8, 8, 10, 10, 4, 4, 6, 6, 7, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 5, 5, 3, 3, 5, 9, 11, 11, 9, 8, 6, 6, 5, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 4, 4, 5, 5, 5, 5, 7, 9, 10, 10, 9, 5, 5, 6, 6, 6, 8, 10, 11, 11, 11, 10, 13, 13, 13, 13, 13, 11, 11, 12, 12, 10, 0, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 7, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 11, 10, 9, 9, 9, 12, 12, 10, 10, 14, 15, 15, 15, 15, 15, 14, 13, 11, 11, 12, 10, 10, 4, 4, 5, 5, 5, 7, 7, 7, 5, 5, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 11, 11, 12, 17, 17, 19, 18, 20, 20, 20, 20, 16, 15, 14, 13, 11, 11, 12, 16, 15, 17, 17, 15, 14, 11, 11, 12, 14, 14, 16, 15, 17, 17, 17, 17, 11, 11, 12, 14, 14, 17, 16, 18, 18, 18, 17, 17, 14, 6, 6, 9, 9, 8, 8, 9, 11, 11, 11, 11, 6, 6, 8, 8, 13, 14, 14, 14, 14, 14, 12, 13, 13, 13, 12, 11, 10, 6, 6, 8, 8, 10, 10, 9, 11, 11, 6, 6, 8, 8, 6, 6, 7, 8, 8, 10, 10, 9, 10, 7, 7, 7, 10, 10, 12, 13, 13, 13 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 3, 3, 1, 1, 2, 3, 3, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 5, 1, 1, 2, 2, 2, 2, 5, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 4, 4, 1, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 7, 7, 1, 1, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 2, 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, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 4, 4, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 3, 0, 0, 1, 2, 2, 1, 1, 1, 5, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 7, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 5, 5, 0, 0, 0, 0, 2, 1, 2, 5, 5, 0, 0, 5, 5, 5, 1, 1, 0, 0, 2, 2, 5, 5, 5, 0, 0, 0, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 1070, 45301, 983, 1188, 29155, 203, 1070, 18792, 32, 21332, 32, 39362, 32, 2208, 1188, 1984, 2208, 203, 1070, 638, 2282, 32, 419, 20390, 1188, 3772, 16944, 44907, 203, 1070, 11993, 1188, 6204, 30, 1682, 30, 1756, 203, 589, 622, 81, 4756, 81, 2242, 81, 1515, 26, 4756, 81, 2242, 81, 983, 711, 284, 4921, 81, 983, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 35490, 4064, 761, 28154, 284, 1760, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 1515, 81, 983, 30, 2322, 32, 983, 32, 2524, 2740, 77, 500, 32, 568, 1515, 79, 319, 225, 38, 471, 3049, 81, 2242, 81, 983, 27, 284, 442, 2322, 32, 983, 32, 35490, 26, 1977, 81, 983, 27, 203, 823, 16901, 16944, 44907, 26, 1761, 16944, 44907, 711, 284, 636, 280, 313, 4756, 81, 10270, 81, 33439, 20, 284, 1477, 81, 11400, 280, 2107, 525, 555, 5007, 44, 43, 43, 42, 35, 33, 4756, 785, 284, 43609, 81, 20798, 280, 1605, 10065, 43609, 280, 2107, 33, 24325, 785, 284, 3049, 81, 2242, 81, 983, 280, 313, 1574, 33, 2242, 33, 4756, 20, 284, 3049, 81, 2242, 81, 1574, 81, 1515, 280, 622, 81, 4756, 81, 2242, 81, 1515, 26, 4756, 81, 2242, 81, 983, 27, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 9030, 16944, 44907, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 1574, 81, 2242, 280, 739, 346, 3701, 665, 617, 297, 81, 6173, 81, 965, 26, 784, 30, 1984, 711, 291, 438, 81, 6173, 280, 1984, 32, 15990, 463, 525, 683, 461, 330, 5007, 44, 43, 43, 42, 35, 33, 4756, 25, 646, 328, 1984, 291, 415, 630, 1114, 2040, 81, 6728, 26, 965, 27, 461, 330, 5007, 44, 43, 43, 42, 35, 33, 1574, 33, 2242, 33, 4756, 25, 328, 1984, 44, 324, 630, 32, 1574, 81, 2242, 32, 669, 26, 15705, 26, 965, 2208, 26, 965, 547, 983, 490, 291, 442, 438, 81, 6173, 556, 630, 1114, 2040, 81, 6728, 26, 965, 27, 284, 665, 8777, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 15649, 81, 2242, 280, 739, 26, 500, 32, 26366, 26, 784, 32, 4756, 81, 2242, 81, 1574, 81, 1515, 490, 429, 630, 32, 1574, 81, 2242, 291, 415, 15649, 81, 2242, 44, 324, 3756, 81, 1436, 280, 313, 1318, 2412, 5703, 884, 646, 1654, 328, 3049, 4333, 313, 766, 1378, 313, 363, 883, 526, 6556, 44, 2149, 20, 324, 630, 1114, 470, 81, 731, 81, 1293, 346, 324, 15649, 81, 2242, 81, 10513, 983, 280, 428, 400, 2322, 32, 983, 32, 2524, 26, 784, 32, 4756, 81, 2242, 81, 983, 30, 4791, 27, 436, 4791, 328, 15649, 81, 2242, 79, 324, 3636, 3268, 26, 3893, 81, 1436, 32, 1643, 12573, 5608, 2524, 26, 12085, 81, 2242, 81, 10513, 983, 2610, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 4, 3, 4, 4, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 11, 13, 12, 13, 13, 11, 10, 10, 11, 8, 6, 7, 7, 7, 7, 6, 2, 2, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 9, 10, 9, 11, 11, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 4, 4, 5, 8, 9, 9, 9, 8, 9, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 11, 11, 14, 14, 14, 15, 14, 13, 11, 4, 4, 5, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 9, 12, 11, 12, 11, 13, 12, 13, 13, 13, 13, 13, 13, 13, 11, 7, 7, 8, 9, 9, 9, 4, 4, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 10, 10, 10, 10, 9, 6, 6, 9, 9, 9, 9, 9, 8, 8, 9, 9, 12, 13, 11, 12, 11, 13, 12, 13, 13, 13, 13, 13, 11, 11, 11, 9, 10, 10, 10, 11, 11, 9, 6, 6, 7, 9, 12, 12, 12, 11, 12, 11, 15, 14, 13, 14, 14, 14, 14, 14, 14, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 4, 4, 0, 1, 2, 2, 4, 4, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 5, 5, 5, 5, 1, 4, 4, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 7, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 4, 4, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 8, 2, 1, 2, 2, 1, 2, 2, 1, 2, 8, 8, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 1, 0, 0, 0, 0, 2, 1, 1, 2, 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 ]
[ 465, 14461, 203, 465, 7138, 619, 8793, 203, 1070, 11259, 1188, 27606, 81, 2320, 30, 27606, 81, 4804, 30, 622, 6921, 30, 739, 6921, 203, 1070, 5021, 1188, 1418, 203, 1070, 638, 16914, 1188, 38644, 203, 1070, 638, 2304, 1188, 622, 81, 5904, 81, 24312, 81, 1657, 203, 470, 6921, 26, 7257, 81, 2320, 30, 9142, 203, 589, 622, 81, 9892, 2111, 26, 2232, 44673, 711, 284, 1596, 44, 291, 1672, 6921, 280, 5608, 2473, 2524, 26, 371, 6921, 26, 7257, 81, 4804, 490, 284, 2940, 12678, 44, 291, 1672, 6921, 280, 330, 53, 25, 284, 617, 10542, 280, 14461, 32, 9467, 1031, 9389, 26, 2232, 44673, 30, 11259, 47, 1772, 6921, 27, 284, 442, 617, 10542, 32, 1643, 9892, 2111, 26, 36, 27, 203, 589, 622, 9892, 2171, 26, 770, 711, 284, 442, 8793, 32, 770, 32, 297, 18166, 4634, 26, 770, 5594, 35, 79, 203, 589, 622, 81, 10542, 81, 1489, 26, 10542, 30, 1244, 81, 1489, 30, 4491, 711, 284, 415, 4491, 1114, 1282, 39306, 77, 10542, 5795, 1489, 785, 610, 40496, 291, 442, 1244, 81, 1489, 284, 442, 4491, 1114, 1282, 39306, 77, 10542, 5795, 1489, 785, 203, 589, 622, 81, 1489, 81, 668, 26, 1282, 39306, 30, 1244, 81, 1489, 30, 4491, 711, 284, 343, 8717, 280, 1149, 26, 291, 1992, 26, 5962, 816, 44, 308, 371, 81, 10542, 81, 1489, 26, 106, 30, 1244, 81, 1489, 30, 4491, 471, 5556, 4491, 1114, 1282, 39306, 77, 106, 5795, 9786, 16578, 2182, 39306, 27, 284, 829, 284, 343, 8717, 32, 3323, 26, 678, 47, 5962, 816, 44, 816, 77, 35, 614, 10156, 47, 1815, 27, 284, 1769, 10326, 280, 343, 8717, 77, 34, 1674, 35, 79, 284, 343, 8717, 280, 1149, 26, 291, 2761, 26, 5962, 816, 44, 816, 77, 35, 79, 610, 1769, 10326, 30, 343, 8717, 27, 284, 829, 284, 343, 8717, 280, 1149, 26, 291, 1992, 26, 5962, 816, 44, 816, 77, 34, 614, 343, 8717, 27, 284, 829, 284, 343, 8717, 280, 1149, 26, 470, 26, 86, 8717, 490, 284, 442, 343, 8717, 203, 589, 596, 81, 6580, 81, 3368, 26, 291, 5808, 30, 2182, 39306, 30, 420, 1959, 30, 1244, 81, 1489, 30, 4609, 30, 1963, 30, 13764, 81, 979, 81, 2429, 81, 1489, 30, 4491, 711, 284, 343, 466, 280, 596, 26, 3368, 32, 3368, 547, 100, 4510, 26, 36, 27, 284, 415, 1963, 610, 40496, 291, 343, 8717, 280, 622, 81, 1489, 81, 668, 26, 1282, 39306, 30, 1244, 81, 1489, 30, 4491, 27, 291, 415, 2069, 26, 86, 8717, 27, 848, 225, 35, 44, 324, 415, 4609, 610, 40496, 400, 415, 420, 1959, 610, 313, 29242, 20, 556, 420, 1959, 610, 313, 4637, 563, 528, 442, 38644, 26, 86, 466, 2867, 35, 614, 24998, 47, 86, 8717, 77, 34, 614, 9111, 13764, 81, 979, 81, 2429, 81, 1489, 47, 8570, 81, 979, 81, 2429, 81, 1489, 27, 474, 766, 715, 38644, 26, 86, 466, 77, 35, 23751, 24998, 47, 86, 8717, 77, 35, 614, 13764, 81, 979, 81, 2429, 81, 1489, 47, 8570, 81, 979, 81, 2429, 81, 1489, 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, 2, 2, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 4, 4, 4, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 7, 6, 6, 10, 9, 8, 10, 10, 10, 11, 11, 11, 10, 3, 3, 4, 4, 4, 4, 8, 7, 7, 9, 9, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 7, 7, 6, 6, 7, 8, 8, 6, 2, 2, 3, 6, 5, 6, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 7, 8, 6, 7, 7, 7, 6, 7, 6, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 7, 8, 8, 6, 7, 6, 7, 7, 4, 4, 3, 3, 5, 6, 6, 2, 2, 3, 6, 7, 7, 5, 6, 5, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 5, 4, 4, 6, 6, 6, 8, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 13, 12, 12, 13, 13, 12, 12, 12, 10, 10, 13, 14, 14, 12, 13, 12, 13, 13, 8, 9, 8, 6, 6, 2, 2, 6, 5, 6, 5, 7, 6, 7, 7, 7, 7, 8, 9, 8, 5, 6, 7, 5, 2, 2, 5, 4, 4, 7, 6, 7, 6, 6, 5, 2, 2, 5, 4, 4, 6, 6, 6, 8, 9, 9, 9, 9, 11, 12, 11, 10, 10, 11, 8, 8, 9, 8, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 8, 9, 9, 9, 9, 10, 11, 10, 8, 9, 8, 6, 6, 2, 2, 5, 4, 4, 6, 8, 8, 9, 9, 8, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 5, 4, 4, 8, 10, 9, 10, 8, 7, 7, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 7, 6, 6, 8, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 4, 4, 5, 8, 9, 9, 8, 6, 6, 7, 5, 5, 5, 7, 8, 8, 7, 7, 9, 12, 11, 11, 13, 13, 10, 10, 12, 11, 11, 13, 13, 9, 9, 11, 14, 16, 16, 15, 17, 15, 14, 15, 17, 17, 16, 17, 16, 14, 14, 16, 16, 16, 16, 16, 16, 15, 16, 16, 16, 16, 16, 16, 16, 14, 12, 12, 13, 12, 14, 16, 16, 15, 17, 16, 14, 15, 17, 17, 16, 17, 16, 14, 16, 16, 16, 16, 16, 16, 15, 16, 16, 16, 16, 16, 16, 16, 14 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 1, 2, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 9, 9, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 4, 4, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 10, 10, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 10, 10, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 0, 2, 2, 0, 2, 0, 1, 2, 1, 3, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 3, 3, 2, 1, 1, 3, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 3, 1, 3, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 4, 4, 6, 1, 0, 11, 11, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 5, 2, 2, 7, 7, 2, 2, 2, 2, 2, 2, 13, 13, 13, 13, 13, 13, 2, 2, 2, 11, 11, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 3, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 1 ]
[ 100, 2993, 284, 10381, 93, 39583, 32, 12023, 32, 18780, 284, 225, 12997, 6801, 112, 284, 1348, 2297, 4304, 1629, 9332, 6015, 688, 3049, 1591, 372, 1015, 3523, 284, 2193, 372, 312, 4262, 624, 9763, 59, 3022, 32, 225, 2616, 3536, 2043, 31, 2671, 3523, 284, 4759, 2318, 499, 1803, 27214, 35188, 39583, 32, 12023, 32, 11850, 9534, 82, 1510, 4575, 312, 284, 14706, 30, 2043, 31, 2671, 3523, 4759, 32, 284, 6687, 20828, 284, 19947, 16123, 284, 2037, 291, 645, 10381, 93, 39583, 32, 12023, 32, 18780, 1188, 6548, 11063, 30, 766, 1802, 2032, 2946, 3135, 2780, 291, 1123, 280, 6548, 11063, 26, 725, 30, 2032, 2946, 3135, 2780, 1157, 284, 886, 1550, 3523, 1098, 1615, 9250, 328, 322, 624, 9763, 59, 4706, 619, 284, 529, 35188, 39583, 32, 2848, 2541, 225, 8746, 561, 1182, 14381, 372, 646, 793, 322, 12654, 284, 1273, 322, 15321, 7029, 328, 322, 3022, 32, 225, 8746, 436, 5029, 4281, 284, 10105, 312, 12654, 436, 20996, 3065, 526, 21702, 32, 284, 1348, 2297, 1957, 646, 2054, 4438, 556, 13563, 372, 1505, 415, 312, 3523, 438, 284, 22054, 32, 225, 8053, 1395, 526, 3390, 810, 312, 28503, 3245, 461, 4759, 2818, 32, 225, 2616, 284, 2280, 372, 41575, 15649, 23072, 20996, 1591, 3065, 1505, 322, 8844, 284, 1133, 432, 322, 2276, 32, 225, 2030, 20996, 884, 7107, 328, 322, 3500, 322, 537, 346, 284, 1411, 1395, 1015, 600, 23888, 6341, 436, 322, 3523, 32, 284, 2616, 6085, 41459, 561, 1182, 14381, 372, 646, 793, 322, 12654, 1273, 322, 284, 2968, 461, 3523, 1300, 7029, 328, 322, 3022, 7520, 299, 403, 291, 3523, 81, 2157, 280, 2032, 2946, 3135, 2780, 346, 291, 665, 3022, 26, 12757, 30, 1477, 81, 1986, 711, 324, 1326, 280, 4448, 26, 12757, 27, 324, 26093, 280, 1326, 32, 21326, 32, 371, 463, 9534, 81, 426, 683, 324, 415, 26093, 438, 1665, 44, 400, 1326, 32, 2848, 280, 3523, 81, 2157, 32, 890, 346, 324, 813, 44, 400, 1326, 32, 2848, 280, 3523, 81, 2157, 32, 371, 26, 11649, 27, 324, 1789, 280, 622, 81, 1382, 81, 1986, 81, 1473, 26, 1357, 27, 324, 415, 1326, 32, 2848, 32, 3163, 81, 2853, 44, 400, 3523, 81, 2157, 32, 2853, 26, 1357, 32, 2848, 27, 400, 1789, 32, 470, 81, 9534, 463, 9534, 81, 426, 370, 1326, 32, 2848, 32, 11649, 27, 324, 442, 1789, 26, 12757, 30, 1477, 81, 1986, 27, 284, 499, 11794, 44, 308, 85, 27, 225, 36, 34, 35, 38, 810, 322, 624, 31678, 39583, 12641, 30, 2318, 14730, 436, 1829, 4245, 32, 284, 499, 2077, 44, 11895, 30, 2318, 7616, 436, 1829, 4245, 32, 203, 2993, 203, 465, 316, 203, 465, 2322, 203, 465, 5237, 203, 465, 29590, 203, 1070, 2322, 1188, 1519, 203, 1070, 1133, 1188, 1133, 203, 1070, 3995, 1188, 3995, 203, 1070, 42406, 1188, 9637, 35, 203, 1070, 19571, 1188, 10128, 30, 2454, 30, 677, 1434, 1675, 635, 81, 20474, 203, 1070, 10381, 93, 39583, 32, 605, 25078, 1188, 14720, 7167, 203, 1070, 10381, 93, 39583, 32, 2304, 1188, 10128, 81, 9534, 30, 3185, 81, 9534, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 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, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 1, 2, 2, 10, 10, 0, 0, 11, 11, 0, 0, 1, 2, 11, 11, 0, 0, 11, 11, 0, 0, 0 ]
[ 1270, 44, 284, 1188, 6436, 619, 2065, 203, 7343, 29986, 44, 284, 3097, 203, 1070, 46436, 32, 8524, 1188, 35198, 203, 589, 3223, 4903, 26, 8132, 35, 30, 7476, 36, 30, 831, 30, 14563, 347, 35, 392, 29271, 47, 2700, 711, 284, 415, 2069, 26, 8132, 35, 27, 863, 2069, 26, 8132, 36, 711, 291, 3636, 10091, 440, 7707, 993, 1159, 707, 2228, 3104, 657, 284, 415, 831, 848, 2069, 26, 8132, 35, 711, 291, 3636, 10091, 440, 1669, 1861, 831, 1395, 526, 14763, 556, 5040, 2784, 33796, 29217, 657, 284, 28893, 280, 225, 34, 284, 436, 595, 328, 2155, 26, 1657, 26, 8132, 35, 27, 429, 831, 474, 225, 35, 711, 291, 310, 4903, 280, 11366, 26, 8132, 35, 77, 91, 44, 91, 29, 93, 997, 998, 26, 18880, 27, 429, 7476, 36, 77, 91, 44, 91, 29, 93, 997, 998, 26, 18880, 490, 291, 415, 29271, 44, 324, 28893, 1454, 310, 4903, 291, 813, 44, 324, 28893, 1454, 1847, 26, 35, 30, 310, 4903, 27, 284, 442, 28893, 517, 308, 1657, 26, 8132, 35, 27, 429, 831, 474, 225, 35, 7447, 203, 589, 617, 1664, 81, 1287, 26, 42274, 30, 310, 8221, 30, 7889, 81, 8030, 30, 3555, 81, 8030, 711, 284, 2491, 280, 2065, 32, 2951, 1162, 42274, 30, 310, 8221, 490, 284, 2491, 77, 34, 30, 22913, 280, 7889, 81, 8030, 319, 2065, 32, 16251, 26, 96, 8221, 27, 284, 2491, 6894, 225, 34, 79, 280, 3555, 81, 8030, 319, 2065, 32, 16251, 26, 42274, 27, 284, 442, 2491, 203, 589, 617, 3141, 86, 81, 11416, 26, 1287, 30, 2698, 104, 30, 932, 104, 30, 7889, 81, 8030, 30, 3555, 81, 8030, 30, 5733, 81, 8030, 81, 19679, 711, 284, 436, 595, 30, 2698, 91, 328, 10703, 26, 643, 104, 711, 291, 436, 594, 30, 932, 92, 328, 10703, 26, 748, 104, 711, 324, 5733, 81, 8030, 280, 5733, 81, 8030, 81, 19679, 319, 11366, 26, 643, 91, 429, 932, 92, 27, 474, 2491, 77, 91, 30, 594, 79, 324, 415, 2698, 91, 610, 932, 92, 44, 400, 273, 8030, 280, 2491, 77, 91, 30, 594, 79, 324, 4348, 2698, 91, 848, 932, 92, 44, 400, 273, 8030, 280, 3555, 81, 8030, 474, 2491, 77, 91, 30, 594, 474, 225, 35, 79, 324, 813, 44, 400, 273, 8030, 280, 7889, 81, 8030, 474, 2491, 77, 91, 474, 225, 35, 30, 594, 79, 324, 2491, 77, 91, 474, 225, 35, 30, 594, 474, 225, 35, 79, 280, 1847, 26, 102, 8030, 30, 5733, 81, 8030, 27, 203, 589, 485, 7493, 26, 612, 30, 420, 2983, 30, 7889, 81, 8030, 47, 36, 32, 34, 30, 3555, 81, 8030, 47, 36, 32, 34, 30, 5733, 81, 8030, 81, 19679, 47, 35, 32, 34, 30, 14563, 1057, 35, 7831, 284, 2488, 81, 2875, 280, 428, 91, 436, 308, 91, 30, 909, 27, 328, 10703, 26, 612, 27, 415, 909, 610, 14563, 79, 284, 420, 2983, 81, 2875, 280, 428, 91, 436, 308, 91, 30, 909, 27, 328, 10703, 26, 36098, 27, 415, 909, 610, 14563, 79, 284, 310, 612, 81, 4464, 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, 1, 1, 3, 4, 4, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 5, 5, 2, 3, 4, 2, 1, 1, 3, 6, 7, 7, 6, 4, 4, 6, 7, 7, 6, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 6, 7, 7, 6, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 5, 2, 2, 3, 3, 3, 5, 9, 9, 10, 10, 9, 7, 7, 6, 6, 7, 5, 3, 3, 7, 6, 6, 8, 13, 13, 12, 14, 13, 15, 14, 15, 12, 12, 11, 12, 11, 9, 9, 13, 12, 14, 13, 15, 14, 15, 12, 12, 11, 12, 11, 4, 4, 5, 5, 5, 5, 8, 8, 9, 5, 5, 6, 6, 6, 9, 9, 11, 12, 11, 11, 12, 11, 2, 2, 3, 4, 4, 9, 9, 10, 10, 9, 7, 7, 6, 6, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 7, 8, 7, 2, 2, 5, 6, 5, 5, 4, 4, 6, 6, 5, 5, 7, 8, 7, 8, 8, 7, 2, 2, 5, 5, 6, 5, 4, 4, 6, 6, 5, 5, 7, 8, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 3, 3, 5, 6, 6, 5, 3, 3, 5, 6, 6, 7, 5, 5, 7, 8, 8, 7, 5, 5, 9, 9, 8, 8, 11, 11, 11, 11, 10, 10, 12, 14, 14, 13, 13, 14, 12, 9, 9, 10, 11, 10, 10, 10, 6, 6, 7, 9, 8, 8, 9, 7, 7, 7, 11, 10, 10, 11, 12, 11, 11, 11, 7, 7, 8, 10, 9, 9, 10, 8, 8, 8, 12, 11, 11, 13, 13, 12, 12, 13, 14, 13, 13, 14, 14, 15, 13, 7, 7, 8, 8, 8, 12, 11, 11, 13, 13, 12, 12, 13, 15, 14, 14, 15, 13, 13, 13, 6, 6, 9, 11, 10, 10, 11, 9, 9, 10, 10, 11, 9, 8, 8, 10, 11, 11, 10, 10, 11, 11, 10, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 2, 4, 4, 3, 4, 4, 4, 2, 2, 4, 4, 3, 4, 4, 4, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 2, 2, 3, 5, 5, 1, 1, 5, 5, 4, 4, 6, 5, 6, 8, 7, 7, 7, 6, 6, 8, 9, 8, 5, 6, 7, 7, 5, 2, 2, 5, 5, 5, 4, 4, 6, 5, 6, 8, 7, 7, 7, 6, 6, 8, 9, 8, 5, 6, 7, 7, 5, 2, 2, 5, 5, 5, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 3, 3, 3, 3, 3, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 2, 7, 1, 2, 2, 9, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 3, 3, 3, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 3, 3, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 0, 0, 2, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 4, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 11, 11, 11, 11, 2, 4, 4, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 4, 0, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 2, 0, 0, 4, 4, 2, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 0, 5, 5, 1, 2, 1, 2, 2, 3, 2, 2, 0, 0, 5, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 2, 0, 0, 0, 0, 9, 2, 2, 2, 2, 2, 11, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 4, 4, 0, 0, 0, 0 ]
[ 1070, 1207, 102, 6502, 1188, 5788, 30, 3111, 203, 1070, 4942, 1188, 319, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 1508, 30, 1201, 81, 1870, 30, 1201, 81, 2228, 261, 203, 1070, 5741, 1188, 622, 3703, 203, 4073, 280, 622, 3703, 4064, 426, 8223, 203, 50, 2997, 26, 103, 25, 59, 1159, 312, 8419, 623, 1289, 15521, 22, 683, 203, 589, 1159, 81, 83, 81, 7632, 26, 2997, 711, 284, 5788, 32, 3815, 81, 19013, 346, 284, 8419, 280, 5788, 32, 13018, 2214, 32, 1297, 346, 203, 50, 2997, 26, 103, 25, 59, 1159, 312, 8419, 623, 225, 35, 4169, 22, 683, 203, 589, 1159, 81, 83, 81, 7632, 81, 1793, 81, 35, 81, 1906, 26, 2997, 711, 284, 5788, 32, 3815, 81, 19013, 346, 284, 8419, 280, 5788, 32, 13018, 2214, 32, 1297, 346, 284, 4169, 280, 5788, 32, 1097, 2214, 32, 1297, 26, 2544, 81, 2645, 47, 7632, 32, 2645, 27, 284, 1361, 1906, 35, 280, 5788, 32, 1097, 2214, 32, 1297, 26, 291, 2935, 81, 2645, 47, 1906, 32, 2645, 30, 291, 6215, 1057, 42531, 370, 291, 2503, 81, 426, 1057, 1721, 1906, 8513, 370, 27, 203, 50, 2997, 26, 103, 25, 59, 1159, 312, 8419, 623, 4609, 15521, 22, 683, 203, 589, 1159, 81, 83, 81, 7632, 81, 1793, 81, 8268, 81, 15485, 26, 2997, 711, 284, 5788, 32, 3815, 81, 19013, 346, 284, 8419, 280, 5788, 32, 13018, 2214, 32, 1297, 346, 284, 4169, 280, 5788, 32, 1097, 2214, 32, 1297, 26, 2544, 81, 2645, 47, 7632, 32, 2645, 27, 284, 1361, 1906, 35, 280, 5788, 32, 1097, 2214, 32, 1297, 26, 291, 2935, 81, 2645, 47, 1906, 32, 2645, 30, 291, 6215, 1057, 42531, 370, 291, 2503, 81, 426, 1057, 1721, 1906, 8513, 370, 27, 284, 4169, 36, 280, 5788, 32, 1097, 2214, 32, 1297, 26, 291, 2935, 81, 2645, 47, 7632, 32, 2645, 30, 291, 2503, 81, 426, 1057, 5426, 16510, 370, 27, 284, 1361, 1906, 36, 280, 5788, 32, 1097, 2214, 32, 1297, 26, 291, 2935, 81, 2645, 47, 1906, 36, 32, 2645, 30, 291, 6215, 1057, 42531, 370, 291, 2503, 81, 426, 1057, 1721, 1906, 26947, 370, 27, 284, 1361, 1906, 37, 280, 5788, 32, 1097, 2214, 32, 1297, 26, 291, 2935, 81, 2645, 47, 1906, 36, 32, 2645, 30, 291, 6215, 1057, 42531, 370, 291, 2503, 81, 426, 1057, 1721, 1906, 31511, 370, 27, 203, 50, 2997, 26, 103, 25, 59, 19202, 372, 322, 8419, 18649, 1938, 22, 683, 203, 589, 19202, 81, 452, 81, 1382, 81, 7632, 81, 11942, 81, 1637, 26, 2997, 711, 284, 1487, 81, 13080, 81, 496, 26, 297, 81, 15989, 47, 1815, 27, 284, 1245, 81, 8005, 81, 13080, 346, 284, 8419, 81, 25102, 280, 330, 83, 32, 7632, 31, 1204, 25, 284, 5788, 32, 2079, 81, 2942, 26, 7632, 81, 25102, 27, 203, 50, 2997, 26, 103, 25, 59, 19202, 372, 322, 18649, 1938, 432, 312, 8419, 623, 4609, 15521, 683, 203, 589, 7394, 81, 452, 81, 1382, 81, 11942, 81, 1637, 81, 1028, 81, 83, 81, 7632, 81, 1793, 81, 12565, 81, 15485, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 3, 0, 3, 2, 2, 4, 4, 5, 5, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 7, 7, 7, 6, 3, 3, 5, 5, 8, 9, 9, 7, 8, 7, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 7, 7, 7, 6, 3, 3, 5, 5, 8, 9, 9, 7, 8, 7, 3, 3, 5, 5, 8, 9, 9, 7, 8, 7, 9, 9, 9, 8, 10, 9, 10, 7, 3, 3, 6, 6, 5, 5, 8, 9, 9, 7, 8, 7, 7, 7, 9, 9, 8, 10, 9, 10, 7, 7, 7, 8, 10, 10, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 7, 7, 7, 6, 3, 3, 5, 5, 8, 9, 9, 7, 8, 7, 3, 3, 5, 5, 8, 9, 9, 7, 8, 7, 9, 9, 9, 8, 10, 9, 10, 7, 3, 3, 6, 6, 5, 5, 8, 9, 9, 7, 8, 7, 7, 7, 9, 9, 8, 10, 9, 10, 7, 7, 7, 8, 10, 10, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 3, 3, 6, 5, 5, 8, 9, 9, 7, 8, 7, 7, 7, 9, 9, 8, 10, 9, 10, 7, 7, 7, 9, 9, 8, 10, 10, 10, 7, 3, 3, 6, 6, 5, 5, 8, 9, 9, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 9, 10, 7, 7, 7, 8, 10, 10, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 3, 3, 6, 6, 5, 5, 8, 9, 9, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 9, 10, 7, 7, 7, 8, 10, 10, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 6, 6, 6, 6, 8, 8, 8, 7, 8, 6, 3, 3, 6, 6, 6, 6, 6, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 7, 7, 6, 7, 7, 7, 6, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 3, 1, 2, 1, 1, 0, 0, 5, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 3, 1, 2, 1, 1, 0, 0, 5, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 3, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 3, 1, 2, 1, 1, 0, 0, 5, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 3, 1, 2, 1, 1, 0, 0, 5, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 14785, 619, 5239, 203, 1070, 16832, 762, 1867, 81, 104, 6453, 1188, 354, 6453, 35, 43, 81, 3239, 444, 619, 354, 6453, 35, 43, 203, 1070, 16832, 762, 1867, 81, 104, 6453, 1188, 8745, 203, 1275, 35, 280, 8745, 32, 944, 81, 893, 12004, 858, 81, 605, 33, 102, 20690, 32, 10561, 657, 203, 1275, 35, 81, 1508, 81, 1267, 280, 428, 35, 415, 595, 610, 225, 36, 43, 36, 813, 225, 34, 436, 595, 328, 2155, 26, 35, 34, 34, 34, 2177, 261, 203, 4432, 35, 280, 4791, 35, 32, 12091, 1162, 35, 30, 225, 36, 36, 38, 30, 225, 36, 36, 38, 30, 225, 37, 490, 203, 1793, 5239, 32, 2929, 3247, 6281, 44, 34, 7831, 284, 13597, 280, 5239, 32, 3135, 346, 284, 5703, 280, 5239, 32, 10335, 26, 4213, 32, 1808, 37, 36, 30, 428, 35, 30, 225, 36, 36, 38, 30, 225, 36, 36, 38, 30, 225, 37, 1130, 284, 861, 81, 541, 280, 5239, 32, 10335, 26, 4213, 32, 1808, 37, 36, 30, 428, 35, 30, 225, 35, 34, 34, 34, 1130, 284, 5683, 81, 2816, 280, 5239, 32, 10335, 26, 4213, 32, 2420, 27, 284, 354, 6453, 280, 354, 6453, 35, 43, 32, 72, 6453, 35, 43, 6824, 104, 6453, 35, 43, 32, 17632, 683, 284, 354, 6453, 32, 1832, 26, 2242, 30, 5683, 81, 2816, 27, 284, 1459, 26, 104, 6453, 32, 371, 81, 869, 81, 998, 1157, 284, 13597, 32, 1945, 26, 4213, 32, 3264, 81, 9578, 81, 19321, 1157, 284, 2379, 280, 13597, 32, 1945, 26, 104, 6453, 32, 7151, 30, 6985, 81, 2665, 1279, 2242, 44, 5254, 35, 30, 5683, 81, 2816, 44, 3177, 1748, 284, 8745, 32, 1216, 81, 7151, 26, 7151, 77, 34, 614, 3005, 9381, 470, 32, 2760, 683, 284, 7847, 280, 5239, 32, 8920, 81, 1036, 1162, 104, 6453, 32, 7151, 429, 861, 81, 541, 27, 1115, 225, 36, 27, 284, 5683, 280, 5239, 32, 3239, 32, 15316, 1450, 2460, 29248, 26, 34, 32, 34, 34, 34, 35, 547, 35047, 26, 8030, 27, 284, 13597, 32, 1945, 26, 3239, 30, 6985, 81, 2665, 1279, 2242, 44, 5254, 35, 30, 861, 81, 541, 44, 428, 1275, 35, 81, 1508, 81, 1267, 614, 5683, 81, 2816, 44, 2933, 1748, 284, 2379, 280, 13597, 32, 1945, 26, 104, 6453, 32, 7151, 30, 6985, 81, 2665, 1279, 2242, 44, 5254, 35, 30, 5683, 81, 2816, 44, 3177, 1748, 284, 8745, 32, 1216, 81, 7151, 26, 7151, 77, 34, 614, 3005, 9381, 470, 32, 2760, 683, 284, 354, 6453, 32, 2853, 81, 17632, 26, 6690, 30, 3005, 858, 31, 2853, 32, 17632, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 5, 6, 6, 6, 4, 4, 5, 3, 4, 4, 4, 6, 7, 7, 7, 7, 6, 0, 0, 3, 3, 2, 2, 5, 4, 5, 4, 6, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 6, 5, 0, 1, 1, 5, 6, 5, 7, 7, 7, 7, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 8, 8, 6, 6, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 8, 8, 6, 6, 8, 7, 7, 8, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 5, 6, 5, 6, 5, 5, 6, 6, 5, 2, 2, 5, 8, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 5, 6, 5, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 4, 4, 6, 7, 6, 8, 8, 7, 8, 6, 6, 8, 8, 7, 10, 9, 9, 10, 8, 8, 10, 10, 9, 9, 8, 2, 2, 5, 6, 6, 6, 5, 7, 6, 7, 6, 5, 7, 7, 7, 7, 7, 2, 2, 4, 4, 6, 7, 7, 7, 6, 11, 11, 10, 11, 9, 9, 10, 10, 8, 7, 7, 8, 6, 2, 2, 4, 4, 9, 10, 8, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 7, 6, 7, 6, 2, 2, 5, 6, 5, 6, 5, 5, 7, 7, 6, 9, 8, 8, 9, 7, 7, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 9, 7, 9, 9, 8, 8, 7, 2, 2, 4, 4, 6, 7, 6, 8, 8, 7, 8, 6, 6, 8, 8, 7, 10, 9, 9, 10, 8, 8, 10, 10, 9, 9, 8, 2, 2, 5, 6, 6, 6, 5, 7, 6, 7, 6, 5, 7, 7, 7, 7, 7, 2, 2, 6, 5, 6, 6, 6, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 1, 0, 6, 6, 0, 2, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 7, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 3, 0, 1, 1, 2, 2, 2, 0, 0, 3, 3, 2, 3, 3, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 3, 3, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 0, 0, 3, 0, 1, 1, 2, 2, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 5, 5, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 3, 0, 1, 1, 2, 2, 2, 0, 0, 3, 3, 2, 3, 3, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 15390, 81, 30839, 203, 1070, 18792, 1188, 1344, 81, 681, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 4377, 3242, 29822, 32, 48609, 1188, 2604, 81, 18349, 203, 1070, 40946, 1188, 40946, 203, 81, 280, 40946, 203, 1070, 638, 1188, 617, 1439, 203, 1070, 4377, 1188, 595, 8707, 327, 696, 203, 589, 7279, 81, 466, 26, 101, 711, 284, 415, 309, 438, 1665, 44, 291, 442, 1665, 284, 4348, 6937, 26, 101, 30, 1344, 81, 681, 711, 291, 442, 309, 284, 813, 44, 291, 442, 309, 32, 5460, 440, 3310, 31, 42, 392, 313, 5848, 657, 203, 823, 14741, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2971, 711, 291, 630, 32, 2543, 3242, 280, 2971, 291, 630, 32, 4915, 280, 1605, 291, 415, 2971, 32, 1427, 1338, 32, 3259, 20532, 44, 324, 630, 32, 4915, 32, 1689, 26, 2555, 12758, 26, 784, 30, 11244, 7279, 81, 466, 26, 364, 32, 1427, 1338, 32, 2388, 81, 426, 471, 11244, 7279, 81, 466, 26, 364, 32, 1427, 1338, 32, 923, 81, 314, 471, 11244, 7279, 81, 466, 26, 364, 32, 1427, 1338, 32, 2946, 81, 965, 2610, 291, 3051, 280, 2971, 32, 371, 2388, 346, 291, 1541, 280, 3051, 291, 2218, 1541, 32, 371, 8884, 346, 438, 646, 1665, 44, 324, 1541, 280, 1541, 32, 371, 8884, 346, 291, 2218, 1541, 438, 646, 1665, 44, 324, 630, 32, 4915, 32, 1689, 26, 1251, 27, 324, 1541, 280, 1541, 32, 371, 1978, 346, 291, 630, 32, 878, 280, 1665, 291, 630, 32, 9793, 280, 1665, 284, 665, 1156, 33644, 3207, 784, 30, 1202, 711, 291, 442, 630, 32, 4915, 77, 678, 79, 284, 665, 622, 1978, 26, 784, 711, 291, 442, 1665, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 225, 35, 203, 823, 3278, 12758, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3051, 81, 1251, 30, 636, 30, 562, 81, 314, 30, 2664, 81, 314, 711, 291, 630, 32, 2388, 81, 1251, 280, 3051, 81, 1251, 291, 630, 32, 426, 280, 636, 291, 630, 32, 923, 81, 314, 280, 562, 81, 314, 291, 630, 32, 2946, 81, 314, 280, 2664, 81, 314, 291, 630, 32, 878, 280, 1665, 291, 630, 32, 9793, 280, 1665, 284, 665, 622, 1978, 26, 784, 711, 291, 442, 630, 32, 2388, 81, 1251, 32, 4915, 77, 35, 79, 203, 823, 18687, 4058, 26, 4058, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5713, 711, 291, 630, 32, 4915, 280, 428, 5756, 4672, 26, 784, 30, 2838, 27, 436, 2838, 328, 5713, 79, 291, 630, 32, 878, 280, 630, 32, 9793, 280, 1665, 284, 665, 622, 1978, 26, 784, 711, 291, 442, 1665, 203, 823, 18687, 4672, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 10290, 81, 2388, 30, 2830, 711, 291, 630, 32, 2388, 81, 1251, 280, 10290, 81, 2388, 291, 630, 32, 2067, 280, 2830, 291, 415, 19326, 26, 784, 32, 2067, 30, 330, 878, 7831, 324, 630, 32, 878, 280, 7279, 81, 466, 26, 784, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 4, 3, 4, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 3, 2, 2, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 3, 3, 4, 6, 7, 6, 6, 7, 7, 6, 4, 4, 6, 3, 3, 4, 4, 4, 6, 8, 9, 8, 10, 10, 10, 10, 8, 10, 10, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 5, 7, 8, 8, 6, 7, 7, 5, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 12, 11, 11, 11, 13, 13, 13, 16, 15, 16, 16, 14, 15, 15, 15, 13, 11, 11, 13, 13, 13, 16, 15, 16, 16, 14, 15, 15, 15, 13, 11, 11, 13, 13, 13, 16, 15, 16, 16, 14, 15, 15, 15, 13, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 6, 6, 4, 4, 5, 8, 9, 9, 8, 6, 6, 6, 5, 5, 5, 8, 8, 10, 11, 11, 10, 4, 4, 5, 6, 6, 6, 5, 5, 5, 10, 11, 9, 10, 9, 10, 9, 6, 6, 8, 8, 10, 11, 11, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 7, 8, 6, 7, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 9, 9, 9, 10, 9, 9, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 5, 7, 9, 8, 9, 7, 7, 9, 9, 5, 5, 9, 10, 8, 8, 10, 10, 10, 13, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 5, 5, 5, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 9, 9, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 4, 4, 5, 0, 2, 2, 1, 1, 1, 1, 5, 5, 5, 0, 0, 0, 2, 2, 1, 4, 4, 6, 1, 1, 1, 6, 6, 6, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0 ]
[ 1070, 345, 39, 32, 2132, 1188, 319, 203, 1070, 3772, 9942, 1188, 3772, 9942, 203, 823, 3456, 265, 9942, 26, 1761, 9942, 711, 284, 827, 280, 330, 14003, 9942, 25, 284, 5547, 280, 2933, 284, 281, 2369, 81, 2111, 280, 313, 6281, 33, 17099, 33, 6281, 32, 10429, 20, 284, 4323, 28244, 280, 16990, 32, 5957, 26, 2700, 30, 313, 8112, 544, 600, 1048, 657, 284, 1974, 28244, 280, 16990, 32, 5957, 26, 2700, 30, 291, 313, 2333, 322, 26664, 623, 322, 2575, 10218, 1182, 1603, 544, 600, 1048, 657, 284, 17161, 4495, 45877, 924, 280, 16990, 32, 5957, 26, 1815, 30, 291, 313, 2797, 312, 2454, 1056, 438, 12479, 30, 1755, 1459, 312, 5967, 461, 745, 646, 4323, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 7, 6, 7, 6, 6, 8, 8, 8, 8, 8, 2, 2, 5, 4, 4, 6, 7, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 13568, 604, 32, 4882, 1188, 3720, 30, 24961, 203, 1070, 13568, 604, 32, 4882, 32, 2282, 1188, 9875, 1493, 2732, 203, 1070, 13568, 604, 32, 11452, 1188, 2680, 924, 203, 50, 30412, 463, 1526, 81, 3789, 370, 6470, 269, 81, 3789, 683, 203, 823, 2108, 1045, 30502, 69, 648, 267, 1402, 10866, 26, 5126, 1493, 2732, 711, 284, 477, 17614, 284, 665, 14553, 1339, 26, 6933, 711, 291, 2599, 26, 1006, 1045, 30502, 69, 648, 267, 1402, 10866, 30, 9011, 547, 23741, 1339, 346, 291, 9011, 32, 2121, 32, 496, 32, 6604, 81, 314, 32, 742, 315, 81, 31983, 267, 81, 47771, 280, 2933, 291, 9011, 32, 2445, 280, 9011, 32, 2121, 710, 2445, 32, 2445, 5695, 1297, 1371, 324, 330, 426, 950, 330, 2445, 370, 324, 330, 681, 950, 330, 2445, 370, 324, 330, 85, 1321, 81, 314, 950, 9011, 32, 2121, 32, 612, 463, 2445, 32, 2445, 81, 3153, 81, 464, 1814, 314, 30, 291, 1790, 291, 9011, 32, 9729, 81, 1131, 81, 3524, 280, 9011, 32, 2121, 710, 3524, 32, 3524, 5695, 1297, 1371, 324, 330, 426, 950, 330, 14048, 4237, 370, 324, 330, 687, 950, 330, 14048, 383, 370, 324, 330, 496, 81, 681, 81, 314, 950, 9011, 32, 2121, 32, 612, 463, 3524, 32, 605, 81, 3524, 81, 681, 81, 1700, 81, 3512, 1814, 314, 30, 291, 1790, 291, 9011, 32, 9729, 81, 2024, 81, 3524, 280, 9011, 32, 2121, 710, 3524, 32, 3524, 5695, 1297, 1371, 324, 330, 426, 950, 330, 14048, 5582, 370, 324, 330, 687, 950, 330, 14048, 1512, 370, 324, 330, 268, 31349, 950, 2933, 30, 324, 330, 496, 81, 681, 81, 314, 950, 9011, 32, 2121, 32, 612, 463, 3524, 32, 605, 81, 3524, 81, 681, 81, 1700, 81, 3512, 1814, 314, 30, 291, 1790, 291, 9011, 32, 9729, 81, 3431, 367, 81, 3524, 280, 9011, 32, 2121, 710, 3524, 32, 3524, 5695, 1297, 1371, 324, 330, 426, 950, 330, 14048, 4268, 10866, 370, 324, 330, 687, 950, 330, 14048, 1402, 370, 324, 330, 496, 81, 681, 81, 314, 950, 9011, 32, 2121, 32, 612, 463, 3524, 32, 605, 81, 3524, 81, 681, 81, 1700, 81, 3512, 1814, 314, 30, 291, 1790, 291, 9011, 32, 36015, 81, 3524, 280, 9011, 32, 2121, 710, 3524, 32, 3524, 5695, 1297, 1371, 324, 330, 426, 950, 330, 36282, 9035, 370, 324, 330, 687, 950, 330, 3866, 370, 324, 330, 496, 81, 681, 81, 314, 950, 9011, 32, 2121, 32, 612, 463, 3524, 32, 605, 81, 3524, 81, 681, 81, 2832, 20353, 1814, 314, 30, 291, 1790, 291, 9011, 32, 24022, 81, 3524, 280, 9011, 32, 2121, 710, 3524, 32, 3524, 5695, 1297, 1371, 324, 330, 426, 950, 330, 31777, 9035, 370, 324, 330, 687, 950, 330, 16476, 370, 324, 330, 496, 81, 681, 81, 314, 950, 9011, 32, 2121, 32, 612, 463, 3524, 32, 605, 81, 3524, 81, 681, 81, 2832, 20353, 1814, 314, 30, 291, 1790, 291, 9011, 32, 9729, 81, 14431, 280, 9011, 32, 2121, 710, 3524, 32, 14431, 5695, 1297, 1371, 324, 330, 426, 950, 330, 14048, 25705, 370, 324, 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, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 2, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 6, 4, 4, 5, 6, 6, 7, 6, 5, 5, 11, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 10, 10, 9, 6, 6, 12, 13, 11, 12, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 6, 6, 9, 10, 8, 8, 12, 13, 11, 13, 13, 13, 13, 11, 10, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 14, 14, 14, 12, 16, 17, 15, 16, 15, 17, 17, 17, 17, 17, 17, 17, 17, 14, 11, 11, 11, 6, 6, 9, 10, 10, 10, 10, 10, 8, 8, 12, 13, 11, 13, 13, 13, 13, 11, 10, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11, 14, 14, 14, 14, 14, 14, 12, 16, 17, 15, 16, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 14, 11, 11, 11, 6, 6, 9, 10, 10, 10, 10, 10, 8, 8, 12, 13, 11, 13, 13, 13, 13, 11, 10, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11, 14, 14, 14, 12, 11, 11, 11, 14, 14, 14, 14, 14, 14, 12, 16, 17, 15, 16, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 14, 11, 11, 11, 6, 6, 9, 10, 10, 10, 10, 10, 10, 8, 8, 12, 13, 11, 13, 13, 13, 13, 11, 10, 11, 11, 14, 14, 12, 14, 14, 14, 14, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11, 14, 14, 14, 14, 14, 14, 12, 16, 17, 15, 16, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 14, 11, 11, 11, 6, 6, 9, 10, 10, 10, 8, 8, 12, 13, 11, 13, 13, 13, 13, 11, 10, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 14, 14, 14, 14, 12, 16, 17, 15, 16, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 14, 11, 11, 11, 6, 6, 9, 10, 10, 10, 8, 8, 12, 13, 11, 13, 13, 13, 13, 11, 10, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 14, 14, 14, 14, 12, 16, 17, 15, 16, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 14, 11, 11, 11, 6, 6, 9, 10, 10, 10, 8, 8, 12, 13, 11, 13, 13, 13, 13, 11, 10, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1 ]
[ 465, 20717, 203, 465, 7138, 203, 465, 12460, 203, 465, 5741, 203, 465, 2322, 203, 465, 19571, 203, 465, 3995, 203, 465, 316, 203, 465, 22977, 203, 465, 7060, 203, 1070, 3363, 1188, 44524, 203, 465, 16539, 203, 465, 5237, 203, 465, 29590, 203, 465, 11685, 203, 1070, 42406, 1188, 8735, 39, 203, 1070, 31074, 1188, 2350, 1170, 203, 1070, 21381, 32368, 1188, 3488, 203, 465, 21381, 32368, 203, 465, 21381, 32368, 32, 2795, 203, 465, 21381, 32368, 32, 12023, 32, 89, 1729, 203, 465, 21381, 32368, 32, 12023, 32, 21137, 203, 465, 21381, 32368, 32, 12023, 32, 101, 37, 203, 1070, 21381, 32368, 32, 12023, 1188, 345, 591, 311, 1384, 203, 1270, 44, 284, 1188, 1044, 1260, 619, 2361, 203, 7343, 29986, 44, 284, 1188, 2361, 203, 4073, 280, 5741, 32, 10579, 463, 6303, 32368, 31, 3337, 683, 203, 81, 32947, 81, 5043, 280, 1605, 203, 25985, 1392, 81, 613, 280, 316, 32, 6993, 26, 100, 32312, 17095, 1984, 110, 1382, 1984, 372, 4562, 322, 3992, 48775, 101, 29, 12390, 66, 46, 965, 4503, 29, 9501, 683, 203, 823, 48222, 26, 6303, 32368, 32, 2795, 32, 1063, 711, 284, 6929, 280, 21381, 32368, 32, 7556, 3012, 26, 291, 1244, 47, 2521, 30, 291, 3048, 4310, 324, 330, 58, 8677, 6929, 1259, 793, 436, 39623, 8253, 32, 2614, 6377, 39105, 1292, 8253, 30, 330, 324, 330, 2970, 3772, 58, 8677, 3782, 2247, 32, 5178, 25, 291, 2588, 284, 829, 203, 589, 12386, 2740, 5043, 711, 284, 617, 32947, 81, 5043, 32, 8233, 26, 5043, 27, 203, 589, 26810, 1787, 26, 88, 711, 284, 415, 2322, 32, 983, 32, 297, 1204, 26, 88, 711, 291, 442, 26810, 1787, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 88, 471, 2322, 32, 850, 1204, 26, 88, 2610, 284, 813, 44, 291, 442, 296, 203, 589, 622, 81, 7615, 81, 2536, 26, 7615, 81, 2536, 711, 284, 1056, 280, 1605, 284, 436, 296, 328, 6717, 81, 2536, 44, 291, 415, 6937, 26, 88, 30, 596, 711, 324, 1561, 30, 7112, 280, 296, 30, 2322, 32, 983, 32, 15705, 26, 88, 27, 291, 4348, 6937, 26, 88, 30, 8825, 711, 324, 1561, 30, 7112, 280, 296, 291, 813, 44, 324, 3636, 3268, 346, 291, 415, 2322, 32, 983, 32, 34103, 26, 1617, 711, 324, 1561, 81, 4254, 280, 2322, 32, 983, 32, 2524, 26, 1617, 30, 9142, 324, 436, 1695, 30, 29141, 30, 2276, 328, 2322, 32, 11905, 26, 1617, 711, 400, 436, 296, 328, 2276, 44, 528, 296, 81, 1617, 280, 2322, 32, 983, 32, 2524, 26, 1439, 30, 296, 27, 528, 296, 81, 1617, 81, 2758, 7993, 280, 296, 81, 1617, 77, 1657, 26, 1617, 81, 4254, 711, 79, 528, 296, 81, 6298, 280, 2322, 32, 983, 32, 2524, 26, 6298, 30, 296, 81, 1617, 81, 2758, 7993, 27, 528, 1056, 32, 1689, 1162, 88, 81, 1617, 30, 296, 81, 6298, 490, 291, 813, 44, 324, 1056, 32, 1689, 1162, 1617, 30, 7112, 490, 284, 442, 1056, 203, 589, 1487, 81, 5043, 81, 8929, 26, 5043, 30, 4870, 711, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 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, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 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, 0, 1, 1, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 4, 4, 7, 6, 7, 7, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 0, 1, 1, 2, 4, 2, 1, 1, 6, 6, 6, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 6, 5, 6, 5, 3, 3, 5, 7, 7, 11, 10, 11, 9, 10, 9, 13, 12, 13, 11, 12, 11, 12, 11, 9, 11, 12, 12, 11, 12, 11, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 5, 7, 8, 7, 7, 7, 5, 5, 9, 9, 8, 8, 9, 9, 12, 13, 11, 12, 11, 12, 11, 5, 5, 6, 8, 9, 8, 8, 8, 6, 6, 10, 10, 9, 9, 5, 5, 6, 6, 6, 8, 10, 4, 4, 5, 8, 9, 7, 8, 7, 8, 7, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 6, 6, 7, 8, 8, 8, 8, 7, 7, 9, 10, 9, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 13, 13, 12, 12, 15, 16, 14, 15, 14, 15, 14, 14, 14, 10, 10, 13, 13, 13, 13, 13, 12, 12, 14, 14, 13, 16, 16, 17, 17, 17, 16, 13, 10, 10, 13, 13, 12, 12, 15, 16, 14, 15, 14, 15, 14, 14, 15, 15, 15, 15, 15, 14, 10, 10, 13, 14, 13, 15, 15, 15, 14, 14, 15, 15, 14, 5, 5, 6, 6, 6, 10, 11, 10, 12, 11, 11, 11, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1 ]
[ 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, 0, 10, 10, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 14, 14, 0, 15, 15, 15, 15, 0, 0, 16, 16, 16, 16, 0, 0, 17, 17, 0, 17, 17, 0, 18, 18, 0, 0, 19, 19, 0, 1, 2, 0, 20, 20, 0, 1, 2, 1, 4, 4, 0, 21, 21, 0, 1, 2, 1, 4, 0, 22, 22, 0, 1, 2, 1, 4, 4, 0, 23, 23, 0, 1, 2, 23, 23, 0, 0, 0, 0, 24, 24, 24, 24, 0, 0, 1, 1, 24, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 28, 28, 2, 0, 0, 0, 2, 1, 2, 2, 28, 28, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 29, 29, 2, 1, 2, 29, 29, 0, 0, 0, 0, 2, 1, 1, 1, 0, 30, 30, 1, 2, 1, 2, 30, 30, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 31, 31, 1, 1, 1, 1, 2, 1, 1, 1, 2, 31, 31, 0, 0, 4, 4, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 1, 5, 5, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 32, 32, 1, 1, 1, 1, 2, 1, 2, 2, 2, 32 ]
[ 465, 4134, 203, 1070, 1417, 1188, 1417, 203, 1070, 323, 46975, 1188, 323, 46975, 81, 1873, 30, 323, 46975, 81, 990, 30, 328, 3323, 203, 1070, 6560, 13821, 32, 8524, 1188, 4991, 81, 2516, 30, 19818, 639, 30, 19818, 639, 81, 45725, 30, 2354, 30, 35198, 203, 1070, 6560, 13821, 32, 1040, 32, 10125, 1188, 3519, 81, 979, 81, 5960, 203, 81, 35, 2231, 527, 12644, 280, 1417, 463, 52, 370, 428, 34, 30, 225, 35, 30, 225, 35, 30, 225, 36, 30, 225, 35, 30, 225, 36, 30, 225, 36, 30, 225, 37, 30, 225, 35, 30, 225, 36, 30, 225, 36, 30, 225, 37, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 38, 30, 225, 35, 30, 225, 36, 30, 203, 36, 30, 225, 37, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 38, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 38, 30, 225, 37, 30, 225, 38, 30, 225, 38, 30, 225, 39, 30, 225, 35, 30, 225, 36, 30, 225, 36, 30, 225, 37, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 38, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 38, 30, 203, 37, 30, 225, 38, 30, 225, 38, 30, 225, 39, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 38, 30, 225, 37, 30, 225, 38, 30, 225, 38, 30, 225, 39, 30, 225, 37, 30, 225, 38, 30, 225, 38, 30, 225, 39, 30, 225, 38, 30, 225, 39, 30, 225, 39, 30, 225, 40, 30, 225, 35, 30, 225, 36, 30, 225, 36, 30, 225, 37, 30, 225, 36, 30, 225, 37, 30, 203, 37, 30, 225, 38, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 38, 30, 225, 37, 30, 225, 38, 30, 225, 38, 30, 225, 39, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 38, 30, 225, 37, 30, 225, 38, 30, 225, 38, 30, 225, 39, 30, 225, 37, 30, 225, 38, 30, 225, 38, 30, 225, 39, 30, 225, 38, 30, 225, 39, 30, 225, 39, 30, 225, 40, 30, 203, 36, 30, 225, 37, 30, 225, 37, 30, 225, 38, 30, 225, 37, 30, 225, 38, 30, 225, 38, 30, 225, 39, 30, 225, 37, 30, 225, 38, 30, 225, 38, 30, 225, 39, 30, 225, 38, 30, 225, 39, 30, 225, 39, 30, 225, 40, 30, 225, 37, 30, 225, 38, 30, 225, 38, 30, 225, 39, 30, 225, 38, 30, 225, 39, 30, 225, 39, 30, 225, 40, 30, 225, 38, 30, 225, 39, 30, 203, 39, 30, 225, 40, 30, 225, 39, 30, 225, 40, 30, 225, 40, 30, 225, 41, 30, 225, 35, 30, 225, 36, 30, 225, 36, 30, 225, 37, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 38, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 38, 30, 225, 37, 30, 225, 38, 30, 225, 38, 30, 225, 39, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 6, 6, 4, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 9, 3, 3, 11, 3, 3, 13, 3, 3, 15, 3, 3, 17, 3, 3, 19, 3, 3, 21, 3, 3, 23, 3, 3, 25, 3, 3, 27, 3, 3, 29, 3, 3, 31, 3, 3, 33, 3, 3, 35, 3, 3, 37, 3, 3, 39, 3, 3, 41, 3, 3, 43, 3, 3, 45, 3, 3, 47, 3, 3, 49, 3, 3, 51, 3, 3, 53, 3, 3, 55, 3, 3, 57, 3, 3, 59, 3, 3, 61, 3, 3, 63, 3, 3, 65, 3, 3, 67, 3, 3, 69, 3, 3, 71, 3, 3, 73, 3, 3, 75, 3, 3, 77, 3, 3, 79, 3, 3, 81, 3, 3, 83, 3, 3, 85, 3, 3, 87, 3, 3, 89, 3, 3, 91, 3, 3, 93, 3, 3, 95, 3, 3, 97, 3, 3, 99, 3, 3, 101, 3, 3, 103, 3, 3, 105, 3, 3, 107, 3, 3, 109, 3, 3, 111, 3, 3, 113, 3, 3, 115, 3, 3, 117, 3, 3, 119, 3, 3, 121, 3, 3, 123, 3, 3, 125, 3, 3, 127, 3, 3, 129, 3, 3, 131, 3, 3, 133, 3, 3, 135, 3, 3, 137, 3, 3, 139, 3, 3, 141, 3, 3, 143, 3, 3, 145, 3, 3, 147, 3, 3, 149, 3, 3, 151, 3, 3, 153, 3, 3, 155, 3, 3, 157, 3, 3, 159, 3, 3, 161, 3, 3, 163, 3, 3, 165, 3, 3, 167, 3, 3, 169, 3, 3, 171, 3, 3, 173, 3, 3, 175, 3, 3, 177, 3, 3, 179, 3, 3, 181, 3, 3, 183, 3, 3, 185, 3, 3, 187, 3, 3, 189, 3, 3, 191, 3, 3, 193, 3, 3, 195, 3, 3, 197, 3, 3, 199, 3, 3, 201, 3, 3, 203, 3, 3, 205, 3, 3, 207, 3, 3, 209, 3, 3, 211, 3, 3, 213, 3, 3, 215, 3, 3, 217, 3, 3, 219, 3, 3, 221, 3, 3, 223, 3, 3, 225, 3, 3, 227, 3, 3, 229, 3, 3, 231, 3, 3, 233, 3, 3, 235, 3, 3, 237, 3, 3, 239, 3, 3, 241, 3, 3, 243, 3, 3, 245, 3, 3, 247, 3, 3, 249, 3, 3, 251, 3, 3, 253, 3, 3, 255, 3, 3, 257, 3, 3, 259, 3, 3, 261, 3, 3, 263, 3, 3, 265, 3, 3, 267, 3, 3, 269, 3, 3, 271, 3, 3, 273, 3, 3, 275, 3, 3, 277, 3, 3, 279, 3, 3, 281, 3, 3, 283, 3, 3, 285, 3, 3, 287, 3, 3, 289, 3, 3, 291, 3, 3, 293, 3 ]
[ 465, 1417, 30, 5237, 203, 589, 225, 9673, 274, 10946, 26, 101, 30, 15358, 47, 1815, 711, 284, 1188, 281, 5123, 284, 309, 280, 281, 5123, 32, 11731, 26, 101, 30, 15358, 27, 284, 415, 15358, 44, 291, 309, 280, 309, 32, 3227, 440, 13042, 313, 5233, 106, 36, 41, 45, 657, 284, 442, 309, 203, 325, 5237, 32, 1648, 81, 1338, 77, 34, 79, 333, 225, 37, 44, 284, 19430, 37, 280, 3177, 284, 665, 323, 26, 101, 711, 291, 442, 309, 284, 1188, 281, 652, 2338, 619, 44524, 284, 44524, 280, 18394, 2338, 280, 44524, 32, 652, 2338, 284, 20695, 280, 20695, 284, 4991, 81, 2516, 280, 308, 410, 30, 1946, 27, 284, 3850, 3028, 280, 9254, 337, 44, 337, 32, 40957, 346, 284, 3850, 2810, 280, 9254, 337, 44, 337, 32, 1731, 2810, 346, 284, 3850, 3494, 280, 9254, 337, 44, 337, 32, 1731, 3494, 346, 284, 645, 31074, 1188, 19818, 639, 284, 1946, 81, 681, 280, 1946, 284, 2354, 280, 9254, 337, 44, 337, 32, 1978, 346, 284, 1188, 281, 14686, 274, 619, 19571, 284, 645, 281, 14686, 274, 1188, 10128, 101, 30, 20748, 30, 10128, 30, 2454, 284, 802, 81, 681, 280, 1695, 800, 284, 1344, 81, 681, 280, 15390, 284, 3519, 81, 681, 280, 596, 284, 707, 1190, 100, 280, 707, 1190, 100, 284, 645, 22045, 1188, 1984, 19042, 284, 665, 3432, 26, 1516, 711, 291, 442, 21749, 26, 1516, 27, 284, 665, 1044, 26, 101, 711, 291, 442, 15390, 26, 101, 30, 313, 9941, 81, 11731, 657, 284, 665, 623, 81, 2559, 32095, 26, 2859, 30, 1695, 47, 1473, 711, 291, 443, 617, 27868, 13821, 1761, 26, 1439, 711, 324, 1156, 2559, 32095, 505, 280, 6089, 291, 442, 617, 27868, 13821, 1761, 284, 35198, 280, 35198, 284, 8529, 81, 280, 8529, 284, 665, 4117, 1071, 5908, 1855, 30, 3401, 47, 2521, 30, 3104, 47, 2521, 711, 291, 415, 3401, 556, 3104, 44, 324, 442, 3112, 26, 1855, 30, 3401, 30, 3104, 27, 291, 813, 44, 324, 442, 3112, 26, 1855, 27, 203, 1824, 44, 284, 19430, 37, 280, 2933, 284, 1188, 13625, 284, 665, 323, 26, 101, 711, 291, 442, 309, 32, 4434, 440, 23423, 31, 35, 657, 284, 1188, 3363, 284, 18394, 2338, 280, 3363, 32, 3644, 2338, 284, 20695, 280, 9254, 337, 44, 6937, 26, 97, 30, 13625, 32, 14489, 27, 284, 2299, 81, 280, 9967, 440, 2493, 657, 284, 4991, 81, 2516, 280, 308, 410, 21713, 284, 3850, 3028, 280, 9254, 337, 44, 337, 32, 3028, 346, 284, 3850, 2810, 280, 9254, 337, 44, 337, 32, 2810, 346, 284, 3850, 3494, 280, 9254, 337, 44, 3850, 26, 97, 32, 3494, 1157, 284, 19818, 639, 280, 8529, 284, 1946, 81, 681, 280, 629, 284, 2354, 280, 2354, 284, 1188, 19571, 284, 645, 19571, 1188, 10128, 101, 30, 20748, 30, 10128, 30, 2454, 284, 44524, 280, 3363, 32, 652, 2338, 284, 802, 81, 681, 280, 596, 284, 1344, 81, 681, 280, 596, 284, 3519, 81, 681, 280, 3519, 284, 707, 1190, 100, 280, 21749, 284, 645, 22045, 32, 1357, 1188, 1984, 19042, 284, 665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 5, 2, 2, 4, 4, 7, 6, 7, 6, 7, 6, 6, 6, 2, 2, 3, 3, 3, 3, 6, 6, 8, 9, 8, 10, 8, 10, 10, 10, 10, 10, 10, 2, 2, 3, 0, 1, 1, 4, 5, 5, 5, 3, 4, 3, 2, 2, 3, 1, 1, 1, 5, 4, 4, 2, 2, 3, 4, 5, 4, 3, 3, 5, 2, 2, 3, 6, 6, 4, 4, 2, 2, 4, 4, 6, 5, 5, 6, 7, 7, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 6, 5, 5, 5, 2, 2, 5, 4, 4, 5, 5, 5, 7, 8, 7, 2, 2, 5, 4, 4, 5, 5, 5, 7, 8, 8, 7, 2, 2, 5, 4, 4, 5, 5, 5, 7, 8, 8, 7, 2, 2, 3, 3, 3, 5, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 5, 5, 5, 7, 8, 7, 2, 2, 3, 6, 6, 4, 4, 2, 2, 3, 5, 5, 3, 3, 5, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 3, 3, 3, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 7, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 6, 6, 7, 6, 5, 5, 9, 9, 9, 8, 8, 4, 4, 5, 6, 6, 6, 2, 2, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 9, 10, 9, 9, 9, 9, 9, 5, 5, 6, 6, 6, 8, 10, 11, 10, 1, 2, 2, 2, 2, 6, 5, 5, 3, 3, 4, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 8, 10, 10, 10, 10, 3, 3, 4, 3, 3, 6, 5, 5, 6, 7, 7, 3, 3, 5, 5, 6, 6, 6, 8, 9, 8, 8, 9, 10, 8, 3, 3, 6, 5, 5, 7, 9, 9, 3, 3, 6, 6, 5, 5, 7, 6, 3, 3, 6, 5, 5, 6, 6, 6, 8, 9, 8, 3, 3, 6, 5, 5, 6, 6, 6, 8, 9, 8, 3, 3, 6, 5, 5, 6, 6, 6, 8, 11, 10, 11, 10, 3, 3, 6, 5, 5, 3, 3, 6, 6, 5, 5, 3, 3, 5, 5, 3, 3, 4, 3, 3, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 6, 7, 7, 3, 3, 6, 6, 5, 5, 3, 3, 6, 6, 5, 5, 3, 3, 6, 6, 5, 5, 3, 3, 6, 6, 5, 5, 3, 3, 4, 5, 6, 4, 4, 6, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 2, 1, 1, 0, 3, 3, 2, 0, 0, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 3, 3, 9, 9, 9, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 2, 2, 2, 0, 2, 1, 3, 3, 12, 0, 0, 1, 1, 3, 3, 13, 0, 0, 13, 13, 0, 13, 13, 13, 13, 13, 13, 3, 3, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 2, 3, 3, 18, 18, 18, 0, 3, 3, 19, 2, 1, 2, 19, 19, 0, 1, 1, 1, 3, 3, 20, 2, 1, 2, 20, 20, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 21, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 21, 21, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 24, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 24, 24, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 2, 4, 4, 4, 4, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 3, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 14, 2, 2, 15, 15, 15, 0, 15, 15, 15, 15, 15, 15, 2, 2, 0, 0, 2, 2, 2, 2, 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, 21, 1, 2, 21, 21, 0, 2, 2 ]
[ 465, 11412, 203, 1070, 7138, 1188, 30784, 203, 1070, 7138, 1188, 7138, 203, 589, 5950, 1120, 750, 26, 3607, 30, 3099, 30, 7169, 605, 30, 6176, 541, 605, 711, 284, 1596, 44, 291, 623, 2156, 26, 3607, 30, 313, 6000, 657, 619, 39906, 44, 324, 39906, 32, 1821, 440, 5450, 5478, 3885, 2398, 41621, 354, 35, 32, 36, 78, 96, 657, 324, 39906, 32, 1821, 440, 1402, 265, 551, 542, 278, 30, 5806, 54, 333, 695, 265, 50, 84, 542, 278, 32, 290, 5213, 96, 657, 324, 39906, 32, 1821, 5528, 96, 657, 324, 39906, 32, 1821, 440, 4678, 1133, 544, 3298, 44, 301, 34, 4104, 96, 2296, 1643, 26, 1338, 1365, 4678, 4852, 23821, 324, 39906, 32, 1821, 440, 3010, 1451, 44, 301, 34, 4104, 96, 2296, 1643, 26, 1338, 1365, 3010, 1918, 23821, 324, 39906, 32, 1821, 5528, 96, 657, 324, 39906, 32, 1821, 440, 1559, 34062, 21565, 54, 12528, 43861, 308, 17302, 646, 526, 26572, 5421, 96, 657, 324, 39906, 32, 1821, 440, 4754, 7169, 30647, 44, 301, 34, 15457, 37, 88, 111, 831, 2444, 78, 96, 2296, 1643, 26, 1338, 1365, 4754, 6768, 8407, 11564, 23821, 324, 39906, 32, 1821, 440, 6705, 3491, 96, 657, 324, 39906, 32, 1821, 440, 2033, 46097, 44, 301, 34, 15457, 37, 88, 111, 831, 2444, 78, 96, 2296, 1643, 26, 1338, 1365, 48728, 6705, 15544, 34, 5259, 324, 39906, 32, 1821, 440, 647, 1410, 27216, 44, 301, 34, 15457, 37, 88, 111, 831, 2444, 78, 96, 2296, 1643, 26, 1338, 1365, 48728, 6705, 15544, 35, 5259, 324, 39906, 32, 1821, 440, 647, 36, 6935, 14818, 44, 301, 34, 15457, 37, 88, 111, 831, 2444, 78, 96, 2296, 1643, 26, 1338, 1365, 48728, 6705, 15544, 36, 5259, 324, 39906, 32, 1821, 440, 647, 37, 6935, 14818, 44, 301, 34, 15457, 37, 88, 111, 831, 2444, 78, 96, 2296, 1643, 26, 1338, 1365, 48728, 6705, 15544, 37, 5259, 324, 39906, 32, 1821, 440, 647, 38, 6935, 14818, 44, 301, 34, 15457, 37, 88, 111, 831, 2444, 78, 96, 2296, 1643, 26, 1338, 1365, 48728, 6705, 15544, 38, 5259, 324, 39906, 32, 1821, 440, 647, 39, 6935, 14818, 44, 301, 34, 15457, 37, 88, 111, 831, 2444, 78, 96, 2296, 1643, 26, 1338, 1365, 48728, 6705, 15544, 39, 5259, 324, 39906, 32, 1821, 440, 647, 40, 6935, 14818, 44, 301, 34, 15457, 37, 88, 111, 831, 2444, 78, 96, 2296, 1643, 26, 1338, 1365, 48728, 6705, 15544, 40, 5259, 324, 39906, 32, 1821, 440, 647, 41, 6935, 14818, 44, 301, 34, 15457, 37, 88, 111, 831, 2444, 78, 96, 2296, 1643, 26, 1338, 1365, 48728, 6705, 15544, 41, 5259, 324, 39906, 32, 1821, 440, 647, 42, 6935, 14818, 44, 301, 34, 15457, 37, 88, 111, 831, 2444, 78, 96, 2296, 1643, 26, 1338, 1365, 48728, 6705, 15544, 42, 5259, 324, 39906, 32, 1821, 440, 647, 43, 6935, 14818, 44, 301, 34, 15457, 37, 88, 111, 831, 2444, 78, 96, 2296, 1643, 26, 1338, 1365, 48728, 6705, 15544, 43, 5259, 324, 39906, 32, 1821, 5528, 96, 657, 324, 39906, 32, 1821, 440, 4754, 23930, 1133, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 5, 10, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 11, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 6, 6, 9, 10, 9, 12, 11, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 14, 13, 12, 11, 13, 12, 14, 14, 14, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 14, 13, 12, 11, 13, 12, 14, 14, 14, 6, 6, 9, 10, 9, 12, 11, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 13, 12, 14, 14, 14, 14, 14, 6, 6, 9, 10, 9, 11, 11, 12, 11, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 14, 13, 15, 15, 15, 13, 12, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 14, 13, 15, 15, 15, 13, 12, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 14, 13, 15, 15, 15, 13, 12, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 14, 13, 15, 15, 15, 13, 12, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 14, 13, 15, 15, 15, 13, 12, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 14, 13, 15, 15, 15, 13, 12, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 14, 13, 15, 15, 15, 13, 12, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 14, 13, 15, 15, 15, 13, 12, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 14, 13, 15, 15, 15, 13, 12, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 12, 11, 14, 13, 15, 15, 15, 13, 12, 6, 6, 9, 10, 9, 12, 11, 6, 6, 9, 10, 9, 13, 13, 13, 13 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 7, 7, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 2, 1, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1 ]
[ 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 11400, 1188, 10156, 30, 3139, 17696, 3665, 203, 823, 3834, 1006, 26, 7233, 711, 284, 665, 894, 81, 1935, 81, 36497, 81, 16227, 26, 784, 711, 291, 1596, 44, 324, 10156, 463, 668, 81, 3656, 81, 2184, 370, 10306, 1279, 528, 330, 668, 81, 314, 950, 330, 858, 32, 2763, 32, 508, 370, 528, 330, 1935, 950, 330, 2003, 22263, 33, 586, 33, 11327, 50, 2763, 32, 508, 370, 528, 1790, 324, 10156, 463, 2546, 81, 4298, 370, 10306, 1279, 528, 330, 668, 81, 314, 950, 330, 858, 32, 2763, 32, 508, 370, 528, 330, 4298, 950, 330, 23079, 370, 528, 330, 2468, 950, 330, 2003, 22263, 33, 586, 33, 11327, 50, 2763, 32, 508, 370, 528, 1790, 291, 2940, 3139, 17696, 3665, 619, 484, 44, 324, 630, 32, 5066, 26, 87, 27, 284, 665, 894, 81, 42862, 81, 1436, 81, 965, 81, 1494, 81, 1793, 81, 16227, 26, 784, 711, 291, 1984, 280, 10156, 463, 4738, 81, 42862, 81, 1436, 370, 2181, 37346, 3986, 370, 225, 34, 490, 291, 630, 32, 5299, 26, 965, 6448, 36, 23751, 330, 34, 25844, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 11, 11, 11, 11, 11, 11, 9, 10, 11, 11, 14, 14, 14, 14, 12, 14, 14, 14, 14, 14, 14, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 6, 6, 9, 11, 11, 11, 11, 9, 10, 11, 11, 14, 14, 14, 14, 12, 14, 14, 14, 14, 14, 14, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 5, 5, 6, 8, 8, 7, 7, 6, 6, 6, 10, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 10, 10, 8, 9, 12, 12, 10, 11, 10, 4, 4, 7, 8, 7, 9, 8, 11, 9, 7, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 3, 0, 0, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 2, 3, 2, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1673, 2304, 32, 1262, 1188, 4705, 203, 5522, 26, 284, 636, 347, 7026, 81, 9769, 392, 284, 7599, 280, 2107, 7026, 81, 9769, 2188, 284, 1503, 347, 34, 32, 37, 32, 34, 392, 284, 4081, 347, 63, 3440, 624, 272, 17423, 392, 284, 4081, 81, 1935, 347, 95, 812, 3748, 91, 50, 7253, 32, 508, 392, 284, 1984, 347, 641, 555, 933, 32, 508, 33, 95, 812, 3748, 91, 33, 7026, 31, 9769, 392, 284, 3048, 347, 7026, 81, 9769, 438, 312, 4865, 4253, 15484, 1829, 13625, 308, 6844, 2021, 30, 2532, 444, 6959, 2021, 30, 3677, 444, 39290, 30, 2417, 547, 392, 284, 3541, 347, 6675, 392, 284, 43397, 6020, 203, 20, 23560, 6633, 2037, 4865, 2037, 225, 36, 32, 41, 392, 203, 20, 23560, 6633, 2037, 4865, 2037, 225, 37, 392, 203, 20, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 36, 392, 203, 20, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 37, 392, 203, 20, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 38, 392, 203, 20, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 39, 392, 203, 20, 25900, 1171, 2037, 6642, 40201, 392, 203, 20, 20235, 5400, 2037, 225, 39, 429, 35548, 33, 32018, 392, 203, 20, 1428, 4611, 37393, 5467, 2037, 36646, 392, 203, 20, 1428, 4611, 37393, 5467, 2037, 19519, 33, 30033, 392, 203, 20, 1428, 4611, 37393, 5467, 2037, 38085, 392, 203, 20, 3786, 2037, 546, 2123, 46573, 2037, 7131, 1177, 392, 203, 20, 8294, 2037, 3859, 15612, 2037, 38585, 2037, 4865, 25122, 20, 203, 614, 203, 7255, 1057, 9769, 6959, 470, 296, 290, 28427, 3557, 8226, 370, 284, 1946, 81, 2310, 47, 203, 2993, 203, 2272, 2652, 7367, 1629, 1829, 13625, 2784, 322, 6216, 13625, 2652, 32, 203, 1318, 2652, 5927, 7367, 44, 203, 31, 1115, 17930, 2665, 326, 1332, 28850, 28427, 3557, 326, 429, 312, 667, 1247, 1115, 17930, 326, 461, 1115, 28719, 9473, 326, 688, 438, 4444, 1115, 2888, 444, 9192, 334, 415, 1169, 5036, 461, 2078, 884, 3677, 444, 32, 203, 31, 1115, 6844, 470, 326, 1332, 30480, 6844, 470, 326, 429, 312, 6959, 470, 4736, 203, 31, 1115, 1174, 444, 81, 6844, 470, 326, 1332, 1174, 444, 81, 30480, 6844, 470, 326, 429, 312, 6959, 470, 4736, 436, 2532, 444, 6346, 37514, 1259, 688, 334, 6959, 2021, 432, 5521, 4702, 21953, 884, 2532, 444, 30, 4444, 6237, 1115, 14402, 444, 81, 1174, 444, 81, 30480, 6844, 470, 326, 334, 1510, 438, 312, 6959, 470, 31, 24576, 31, 6728, 688, 13344, 312, 3380, 19404, 436, 2099, 11826, 15843, 11815, 6959, 2021, 2288, 600, 2532, 444, 42983, 32, 203, 2797, 844, 2637, 372, 2318, 1346, 1829, 13625, 30, 7260, 597, 30, 2156, 312, 14736, 308, 59, 4621, 4743, 2801, 2054, 561, 27, 556, 3240, 328, 312, 7841, 32, 203, 7488, 1678, 555, 933, 32, 508, 33, 95, 812, 3748, 91, 33, 7026, 31, 9769, 436, 312, 3536, 8630, 461, 1829, 2471, 32, 203, 2993, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 4, 7, 7, 7, 7, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 3, 3, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 15, 1, 2, 1, 1, 17, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 19, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 21, 21, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 29346, 32, 16471, 32, 4680, 619, 26401, 81, 4680, 203, 465, 29346, 32, 16471, 32, 1567, 619, 1692, 81, 1647, 203, 465, 29346, 32, 16471, 32, 1567, 81, 2630, 619, 1692, 81, 2630, 203, 465, 29346, 32, 16471, 32, 3426, 619, 26401, 81, 3426, 203, 823, 6833, 26, 1567, 81, 2630, 32, 20137, 1151, 2879, 711, 334, 5881, 886, 6833, 10666, 312, 3982, 1256, 6803, 2164, 328, 322, 8244, 32, 334, 5881, 334, 665, 1156, 1664, 3207, 784, 30, 2935, 30, 12497, 711, 284, 2599, 26, 2861, 30, 630, 14585, 1664, 25300, 2416, 904, 101, 25, 904, 12497, 30, 2935, 27, 284, 630, 32, 6320, 280, 12497, 284, 630, 1114, 10459, 280, 2149, 284, 630, 1114, 28511, 280, 2149, 284, 630, 1114, 5707, 81, 2668, 81, 9642, 81, 1567, 280, 1665, 334, 477, 2433, 334, 665, 8244, 81, 2668, 81, 14337, 81, 9642, 26, 784, 711, 284, 442, 630, 1114, 5707, 81, 2668, 81, 9642, 81, 1567, 438, 646, 1665, 334, 477, 2433, 334, 665, 8244, 81, 2668, 81, 9642, 81, 1567, 26, 784, 711, 284, 442, 630, 1114, 5707, 81, 2668, 81, 9642, 81, 1567, 334, 477, 2433, 334, 665, 11154, 26, 784, 711, 284, 442, 630, 1114, 10459, 334, 477, 2433, 334, 665, 30923, 26, 784, 711, 284, 442, 630, 1114, 28511, 334, 665, 8324, 2931, 19822, 26, 784, 711, 284, 436, 3664, 328, 630, 1114, 10459, 32, 1731, 2810, 2262, 397, 6761, 3664, 284, 436, 7022, 328, 630, 1114, 28511, 32, 1731, 2810, 2262, 397, 6761, 7022, 334, 665, 8324, 5004, 383, 2272, 2879, 26, 784, 30, 1692, 81, 681, 81, 15522, 30, 1692, 81, 15522, 711, 284, 415, 308, 1206, 630, 32, 5707, 81, 2668, 81, 14337, 81, 9642, 556, 291, 646, 1692, 81, 681, 81, 15522, 26, 1567, 81, 1647, 32, 20137, 1151, 27, 556, 291, 646, 1692, 81, 15522, 26, 784, 1114, 5707, 81, 2668, 81, 9642, 81, 1567, 8531, 397, 442, 397, 6761, 3701, 6761, 630, 1114, 5707, 81, 2668, 81, 9642, 81, 1567, 334, 665, 1390, 25277, 3021, 26, 784, 30, 14233, 711, 284, 3664, 280, 630, 32, 10459, 32, 371, 26, 12354, 30, 1665, 27, 284, 415, 3664, 44, 397, 442, 3664, 284, 3664, 280, 26401, 81, 3426, 32, 3021, 26, 784, 30, 14233, 27, 284, 630, 1114, 10459, 77, 12354, 79, 280, 3664, 284, 442, 3664, 334, 665, 1390, 6477, 26, 784, 30, 6215, 30, 636, 711, 284, 7022, 81, 314, 280, 6215, 474, 18491, 474, 636, 284, 415, 7022, 81, 314, 328, 630, 32, 28511, 44, 397, 442, 630, 32, 28511, 77, 4680, 81, 314, 79, 284, 3636, 10091, 26, 291, 330, 6477, 904, 101, 646, 2431, 328, 2164, 623, 804, 904, 101, 4564, 904, 308, 4680, 81, 314, 30, 23815, 630, 32, 6320, 490, 334, 665, 1390, 25277, 6477, 26, 784, 30, 6215, 30, 636, 711, 284, 1596, 44, 397, 442, 630, 32, 936, 6477, 26, 3153, 30, 636, 27, 284, 2940, 10091, 44, 397, 24586, 280, 26401, 81, 4680, 32, 6477, 26, 784, 30, 6215, 30, 636, 27, 397, 630, 1114, 28511, 77, 9360, 32, 2620, 81, 426 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 2, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 9, 9, 9, 8, 8, 10, 10, 10, 10, 8, 8, 7, 7, 7, 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, 8, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 8, 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, 7, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 9, 7, 8, 8, 7, 5, 5, 8, 4, 4, 5, 5, 5, 8, 9, 7, 8, 8, 7, 5, 5, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 9, 9, 10, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 9, 11, 11, 11, 11, 11, 13, 13, 13, 12, 13, 13, 11, 7, 7, 7, 8, 10, 10, 10, 12, 11, 12, 12, 12, 12, 12, 12, 12, 10, 5, 5, 6, 6, 4, 4, 6, 7, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 8, 4, 4, 5, 5, 5, 5, 7, 4, 4, 6, 6, 9, 9, 8, 9, 8, 9, 8, 8, 8, 4, 4, 8, 9, 7, 8, 7, 6, 6, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 8, 7, 7, 4, 4, 5, 7, 7, 6, 6, 7, 8, 5, 5, 5, 7, 9, 10, 8, 9, 9, 9, 8, 4, 4, 5, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 9, 9, 9, 10, 11, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 7, 9, 10, 10, 9, 10, 9, 9, 9, 5, 5, 6, 6, 6, 6, 9, 9, 12, 12, 11, 12, 11, 12, 11, 11, 11, 11, 11, 7, 7, 11, 12, 10, 12, 11, 12, 12, 12 ]
[ 0, 0, 0, 2, 0, 4, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 4, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 4, 4, 4, 1, 1, 2, 2, 0, 3, 3, 0, 2, 0, 4, 1, 1, 2, 2, 0, 4, 4, 2, 0, 0, 0, 1, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 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, 2, 2, 0, 0, 4, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 5, 5, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 4, 4, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 2, 7, 7, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 3, 3, 4, 4, 0, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 0, 0, 0, 4, 4, 4, 4, 4, 9, 1, 2, 1, 2, 2, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 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, 2, 2, 3, 2, 2, 4, 4, 10, 1, 1, 2, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 0, 2, 2, 2, 2 ]
[ 465, 5237, 203, 1070, 3619, 32725, 32, 14548, 1188, 47484, 203, 1070, 3619, 32725, 32, 1956, 1188, 30465, 30, 3270, 30, 14533, 30, 892, 30, 3081, 30, 766, 275, 5104, 30, 16734, 30, 12671, 30, 6512, 30, 2619, 12616, 203, 1070, 3619, 32725, 32, 4466, 1188, 12121, 5722, 269, 203, 1070, 3619, 32725, 32, 1040, 1188, 622, 81, 11447, 81, 2215, 203, 505, 464, 505, 280, 2107, 14537, 8736, 785, 203, 40447, 726, 81, 45194, 280, 301, 284, 6512, 44, 2850, 2726, 370, 1468, 12304, 284, 2619, 12616, 44, 263, 2726, 2429, 8387, 370, 261, 330, 7509, 8387, 1425, 284, 14533, 44, 1468, 2726, 2429, 8387, 370, 261, 330, 7509, 8387, 1425, 284, 14533, 32, 2626, 6789, 44, 264, 2726, 44960, 370, 351, 330, 10104, 10524, 1125, 1425, 284, 30465, 44, 1468, 2726, 7509, 5466, 370, 264, 330, 5466, 1425, 284, 30465, 32, 620, 44, 958, 2726, 44960, 370, 351, 330, 10104, 10524, 1125, 1425, 284, 16734, 32, 5095, 44, 647, 2726, 28550, 370, 647, 330, 48365, 1425, 284, 3270, 32, 27939, 44, 958, 2726, 44960, 370, 351, 330, 10104, 10524, 1125, 1425, 284, 3270, 32, 2447, 44, 647, 2726, 7509, 6555, 370, 261, 330, 6555, 1425, 284, 3270, 32, 5916, 44, 262, 2726, 81, 44960, 43487, 647, 7610, 10104, 10524, 1125, 81, 1425, 284, 3270, 32, 1339, 44, 263, 2726, 81, 7509, 6555, 43487, 7610, 6555, 81, 1425, 284, 3270, 32, 984, 44, 262, 2726, 44960, 370, 351, 330, 10104, 10524, 1125, 1425, 284, 3270, 32, 17608, 44, 262, 2726, 7509, 8387, 370, 264, 330, 2429, 8387, 1425, 284, 3270, 32, 3818, 44, 647, 2726, 7509, 1092, 370, 262, 330, 1092, 1425, 284, 3270, 32, 5465, 44, 647, 2726, 7509, 1092, 370, 262, 330, 1092, 1425, 284, 3270, 32, 2212, 44, 262, 2726, 44960, 370, 351, 330, 10104, 10524, 1125, 1425, 284, 3270, 32, 2633, 44, 2264, 2726, 5466, 370, 351, 330, 5466, 1425, 284, 892, 44, 2407, 2726, 35903, 370, 958, 330, 35903, 1425, 284, 5104, 44, 2407, 2726, 7509, 5466, 370, 264, 330, 5466, 1425, 284, 12671, 32, 13576, 44, 264, 2726, 1092, 370, 351, 330, 1092, 1425, 284, 12671, 32, 47377, 44, 261, 2726, 7509, 6555, 370, 225, 330, 6555, 1425, 284, 12671, 32, 14546, 44, 264, 2726, 326, 370, 263, 330, 326, 1425, 284, 12671, 32, 1721, 7114, 44, 2726, 28, 28550, 45896, 261, 13838, 48365, 28, 1425, 284, 12671, 32, 924, 44, 647, 2726, 1092, 370, 351, 330, 1092, 1425, 284, 3081, 44, 2850, 2726, 81, 1092, 43487, 647, 7610, 1092, 81, 1425, 203, 111, 203, 823, 21766, 8736, 26, 8736, 711, 284, 540, 2993, 284, 10276, 7937, 623, 31850, 1963, 17211, 30, 436, 1688, 328, 312, 1344, 2549, 32, 284, 5447, 17211, 884, 25460, 821, 537, 4446, 30, 1259, 688, 42421, 322, 1688, 284, 4847, 8464, 32, 284, 886, 529, 371, 81, 1621, 81, 15312, 6620, 1411, 4163, 1330, 745, 7991, 7456, 4558, 2017, 438, 284, 1289, 2193, 436, 4942, 10022, 32, 284, 11024, 16187, 44, 284, 529, 4866, 82, 291, 1756, 372, 4102, 20, 2429, 20, 572, 556, 4102, 20, 7509, 20, 572, 14714 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 4, 4, 4, 7, 5, 5, 3, 3, 5, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 7, 3, 3, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 7, 3, 3, 5, 6, 6, 4, 4, 4, 7, 7, 5, 5, 7, 7, 7, 7, 3, 3, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 5, 5, 7, 7, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 5, 5, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 5, 5, 7, 7, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 5, 5, 7, 7, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 5, 5, 7, 7, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 5, 5, 7, 7, 3, 3, 4, 4, 4, 7, 7, 5, 5, 7, 7, 3, 3, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 5, 5, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 5, 5, 7, 7, 3, 3, 5, 6, 6, 4, 4, 7, 7, 7, 5, 5, 7, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 5, 5, 7, 7, 3, 3, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 7, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 3, 3, 3, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 5, 5, 5, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 7, 7, 7, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 9, 9, 9, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 11, 11, 11, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 13, 13, 13, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 15, 15, 15, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 17, 17, 17, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 19, 19, 19, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 21, 21, 21, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 23, 23, 23, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 25, 25, 25, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 27, 27, 27, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 29, 29, 29, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 31, 31, 31, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 33, 33, 33, 1, 2, 2, 2, 1, 2, 2, 2, 35, 35, 35, 1, 2, 2, 2, 1, 2, 2, 2, 37, 37, 37, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 39, 39, 39, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 41, 41, 41, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 43, 43, 43, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 45, 45, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 47, 47, 47, 1, 2, 2, 2, 1, 2, 2, 2, 49, 49, 49, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 15040, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 11997, 500, 81, 1217, 81, 7004, 203, 4021, 81, 2310, 44, 42648, 2636, 2297, 688, 6972, 3233, 436, 7663, 7019, 328, 42648, 73, 489, 10503, 73, 9241, 32, 203, 2310, 44, 848, 284, 429, 7337, 20608, 2608, 844, 372, 24031, 7019, 461, 4818, 2125, 30, 461, 883, 526, 619, 8074, 556, 2818, 619, 5349, 32, 886, 284, 7231, 7019, 884, 19112, 8187, 322, 14961, 16391, 328, 6613, 30, 461, 3301, 322, 1932, 5750, 688, 8001, 322, 284, 16391, 438, 9547, 30, 322, 1829, 2818, 7019, 2298, 48911, 286, 322, 1829, 8074, 11668, 32, 203, 2116, 44, 313, 31596, 677, 11661, 11931, 100, 10254, 39, 39, 40, 4731, 203, 1648, 81, 11043, 44, 313, 36, 32, 39, 20, 203, 15965, 44, 284, 429, 11997, 31, 2958, 883, 526, 17269, 645, 4354, 1164, 632, 26, 641, 555, 21969, 32, 1088, 33, 2250, 33, 7480, 31, 2958, 4242, 284, 429, 11997, 2929, 883, 526, 17269, 645, 4354, 1164, 632, 26, 641, 555, 21969, 32, 1088, 33, 2250, 33, 7480, 2929, 4242, 284, 429, 5592, 10172, 3557, 883, 526, 3661, 1907, 645, 4354, 1164, 632, 26, 641, 555, 21969, 32, 1088, 33, 2250, 33, 2593, 10172, 3557, 4242, 203, 15040, 44, 284, 15529, 44, 4417, 632, 26, 641, 555, 37492, 32, 19441, 32, 508, 33, 66, 9543, 1504, 452, 32549, 33, 98, 9543, 279, 937, 2316, 101, 27, 4174, 32, 284, 6556, 81, 266, 44, 313, 36, 32, 35, 36, 20, 284, 6916, 44, 1336, 12853, 1741, 1340, 1695, 32, 203, 8886, 44, 284, 429, 3456, 2816, 438, 646, 5420, 32, 284, 429, 27266, 35318, 438, 5420, 32, 203, 2184, 44, 284, 4749, 81, 2468, 44, 291, 3048, 44, 324, 429, 4600, 2965, 308, 271, 15871, 27, 432, 42648, 31, 2636, 24813, 556, 27266, 35318, 11146, 2549, 3998, 42900, 32, 291, 2129, 44, 861, 284, 952, 44, 291, 3048, 44, 324, 429, 26173, 10677, 372, 793, 436, 9156, 32, 291, 1244, 44, 313, 2300, 20, 284, 3882, 44, 291, 3048, 44, 324, 429, 12572, 10677, 372, 793, 436, 9156, 32, 291, 2129, 44, 861, 284, 4125, 81, 678, 44, 291, 3048, 44, 324, 429, 2330, 1202, 688, 883, 526, 1654, 4174, 432, 439, 26, 699, 4165, 59, 26, 2895, 27, 10677, 32, 284, 3022, 44, 291, 3048, 44, 324, 429, 3270, 432, 322, 3022, 556, 3022, 2350, 372, 526, 42900, 32, 284, 1914, 81, 5634, 44, 291, 3048, 44, 324, 429, 3270, 432, 322, 1914, 7663, 10790, 372, 526, 42900, 32, 284, 1914, 81, 639, 44, 291, 3048, 44, 324, 429, 886, 1914, 4600, 2965, 372, 526, 42900, 32, 284, 1914, 81, 625, 44, 291, 3048, 44, 324, 429, 886, 1914, 2601, 372, 526, 42900, 32, 284, 8050, 81, 5634, 44, 291, 3048, 44, 324, 429, 3270, 432, 322, 8050, 7663, 10790, 372, 526, 42900, 32, 284, 8050, 81, 639, 44, 291, 3048, 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 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 100, 2993, 7203, 101, 2276, 5349, 436, 273, 38200, 6325, 544, 11305, 32, 203, 16848, 9400, 884, 13022, 623, 322, 33757, 3943, 810, 1913, 555, 24856, 32, 1075, 32, 203, 1318, 11995, 466, 2782, 3261, 4847, 544, 322, 13378, 15543, 33, 3989, 40, 461, 13378, 42, 33, 3989, 35, 34, 18353, 30, 203, 4413, 3967, 273, 38200, 1182, 3312, 745, 646, 3097, 544, 32020, 32, 203, 35, 27, 6741, 3501, 1501, 21578, 42103, 308, 1070, 322, 3298, 5269, 328, 3501, 1501, 27, 203, 36, 27, 1756, 973, 312, 7176, 4844, 372, 322, 3051, 432, 1370, 273, 38200, 5867, 32, 225, 2030, 2298, 526, 312, 664, 1491, 31, 1821, 10874, 372, 793, 48509, 30, 21092, 322, 3312, 883, 526, 1420, 7029, 664, 328, 312, 1491, 31, 2585, 10874, 32, 225, 1348, 1098, 7801, 5313, 15970, 11692, 516, 15457, 203, 37, 27, 6741, 4865, 225, 36, 32, 41, 645, 4262, 32, 1088, 32, 203, 38, 27, 4489, 458, 3261, 810, 2064, 31, 2942, 299, 561, 30, 556, 3974, 664, 313, 85, 3491, 2958, 36, 41, 78, 2958, 32, 8022, 15616, 32, 978, 20, 328, 312, 9073, 32, 203, 705, 1420, 322, 3312, 810, 4091, 30, 9098, 372, 484, 3491, 461, 1420, 334, 281, 3491, 2958, 36, 41, 78, 2958, 32, 8022, 429, 95, 273, 38200, 32, 858, 32, 100, 574, 17206, 203, 705, 1420, 322, 3312, 623, 48509, 30, 9098, 372, 484, 3491, 16565, 78, 3149, 78, 5910, 461, 1420, 334, 281, 3491, 2958, 36, 41, 78, 8121, 78, 28544, 203, 705, 1420, 1531, 7443, 89, 4463, 308, 7900, 2298, 526, 6713, 24964, 471, 1420, 334, 9098, 517, 2479, 10575, 5864, 33, 87, 45, 4262, 429, 95, 273, 38200, 32, 858, 32, 100, 574, 17206, 203, 2993, 203, 465, 2322, 203, 465, 16539, 203, 465, 5237, 203, 465, 22045, 203, 11779, 3197, 280, 540, 25, 85, 3491, 102, 38200, 81, 5172, 25, 203, 22033, 81, 4530, 69, 280, 428, 284, 308, 100, 25, 85, 3491, 2958, 36, 40, 78, 2958, 32, 8022, 370, 330, 525, 555, 1499, 32, 2958, 32, 1088, 33, 14123, 33, 2958, 33, 36, 32, 40, 32, 40, 33, 2958, 31, 36, 32, 40, 32, 40, 32, 33932, 1425, 284, 308, 100, 25, 85, 3491, 2958, 36, 41, 78, 2958, 32, 8022, 370, 330, 525, 555, 1499, 32, 2958, 32, 1088, 33, 14123, 33, 2958, 33, 36, 32, 41, 32, 37, 33, 2958, 31, 36, 32, 41, 32, 37, 32, 33932, 1425, 284, 308, 100, 25, 85, 3491, 2958, 37, 36, 78, 2958, 32, 8022, 370, 330, 525, 555, 1499, 32, 2958, 32, 1088, 33, 14123, 33, 2958, 33, 37, 32, 36, 32, 37, 33, 2958, 31, 37, 32, 36, 32, 37, 32, 33932, 1425, 284, 308, 100, 25, 85, 3491, 2958, 37, 37, 78, 2958, 32, 8022, 370, 330, 525, 555, 1499, 32, 2958, 32, 1088, 33, 14123, 33, 2958, 33, 37, 32, 37, 32, 34, 33, 2958, 31, 37, 32, 37, 32, 34, 32, 33932, 1425, 284, 1481, 203, 6576, 7146, 81, 3197, 280, 540, 25, 85, 3491, 2958, 36, 41, 78, 8121, 25, 203, 55, 26019, 81, 14180 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 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, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0 ]
[ 1070, 2599, 21143, 32, 881, 4044, 32, 881, 4044, 1188, 2290, 81, 31791, 203, 465, 5741, 203, 1070, 11550, 32, 8929, 32, 2282, 1188, 2179, 81, 770, 928, 81, 452, 81, 881, 2840, 95, 583, 1617, 203, 1070, 2599, 21143, 32, 16700, 1188, 622, 81, 770, 203, 465, 2599, 21143, 203, 1070, 2599, 21143, 32, 4519, 32, 1094, 1188, 23339, 81, 2319, 203, 1070, 11550, 32, 7211, 32, 1286, 32, 2282, 1188, 37190, 81, 44886, 14139, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 1974, 81, 452, 81, 4617, 81, 6460, 26, 1094, 30, 1115, 5321, 711, 284, 1596, 44, 291, 11470, 280, 5053, 536, 950, 37190, 81, 44886, 14139, 30, 330, 681, 950, 23339, 81, 2319, 32, 6016, 111, 291, 27927, 280, 2599, 21143, 32, 371, 81, 3142, 81, 2122, 463, 24894, 1814, 371, 26, 2403, 47, 2521, 30, 11470, 47, 10122, 27, 291, 415, 27927, 32, 998, 2262, 324, 1769, 81, 7794, 928, 81, 1657, 280, 27927, 77, 34, 5795, 3968, 4902, 7794, 928, 4902, 34540, 785, 324, 1769, 81, 31629, 81, 1657, 280, 27927, 77, 34, 5795, 3968, 4902, 31629, 4902, 34540, 785, 324, 1623, 710, 7794, 928, 785, 280, 1623, 710, 7794, 928, 785, 2867, 1449, 81, 7794, 928, 81, 1657, 79, 766, 400, 415, 2069, 26, 1094, 710, 7794, 928, 3490, 848, 1769, 81, 7794, 928, 81, 1657, 813, 1623, 710, 7794, 928, 785, 324, 1623, 710, 31629, 785, 280, 1623, 710, 31629, 785, 2867, 1449, 81, 31629, 81, 1657, 79, 766, 400, 415, 2069, 26, 1094, 710, 31629, 3490, 848, 1769, 81, 31629, 81, 1657, 813, 1623, 710, 31629, 785, 291, 415, 330, 770, 928, 25, 646, 328, 1623, 44, 324, 34237, 280, 2290, 81, 31791, 26, 7035, 81, 687, 1057, 10046, 370, 1603, 81, 687, 1057, 3020, 73, 683, 324, 15282, 280, 428, 85, 436, 281, 328, 34237, 415, 281, 710, 5702, 5695, 5729, 346, 610, 330, 5815, 6161, 910, 785, 324, 415, 15282, 44, 400, 1623, 710, 770, 928, 785, 280, 5053, 770, 950, 1623, 710, 2232, 4524, 2188, 330, 42393, 950, 15282, 77, 34, 6653, 324, 1623, 710, 770, 928, 4902, 1855, 785, 280, 1623, 710, 1855, 785, 324, 1623, 710, 770, 928, 4902, 878, 785, 280, 2179, 81, 770, 928, 81, 452, 81, 881, 2840, 95, 583, 1617, 26, 42393, 77, 34, 614, 622, 81, 770, 26, 1094, 710, 2232, 4524, 16578, 5899, 647, 1914, 47, 1094, 710, 1855, 3490, 291, 442, 1623, 284, 2940, 44, 291, 5741, 32, 3893, 463, 1006, 1974, 372, 3097, 6850, 13296, 3756, 683, 203, 426, 280, 330, 1877, 372, 3097, 6850, 25, 203, 4383, 280, 1974, 81, 452, 81, 4617, 81, 6460, 203, 3560, 81, 681, 280, 330, 7878, 25, 203, 1141, 81, 681, 280, 330, 7224, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 2, 1, 1, 3, 3, 3, 6, 6, 10, 10, 8, 9, 9, 9, 7, 7, 10, 10, 8, 10, 10, 9, 10, 7, 4, 4, 6, 6, 11, 10, 11, 11, 11, 11, 11, 10, 12, 12, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 7, 8, 7, 5, 5, 9, 9, 9, 9, 9, 8, 8, 12, 13, 12, 13, 13, 12, 12, 12, 11, 11, 6, 6, 9, 9, 9, 9, 8, 8, 12, 13, 12, 13, 13, 12, 12, 11, 11, 6, 6, 9, 11, 11, 11, 8, 8, 11, 13, 13, 13, 10, 12, 12, 12, 12, 12, 12, 10, 9, 10, 9, 9, 12, 14, 13, 15, 15, 15, 10, 10, 11, 11, 11, 11, 11, 9, 9, 10, 12, 12, 12, 6, 6, 9, 11, 11, 8, 8, 11, 13, 13, 10, 12, 12, 12, 12, 12, 10, 9, 10, 9, 9, 12, 14, 13, 15, 15, 10, 10, 11, 11, 11, 11, 9, 9, 10, 12, 12, 4, 4, 5, 8, 8, 8, 6, 6, 6, 5, 5, 5, 8, 8, 10, 10, 10, 12, 12, 12, 11, 13, 13, 10, 12, 12, 11, 13, 13, 13, 6, 6, 8, 8, 10, 9, 10, 10, 10, 9, 10, 14, 16, 16, 14, 13, 11, 11, 13, 13, 13, 13, 6, 6, 7, 7, 7, 7, 11, 13, 13, 13, 10, 10, 14, 14, 12, 13, 15, 15, 15, 11, 14, 14, 12, 13, 14, 13, 6, 6, 10, 12, 12, 12, 11, 11, 8, 8, 9, 11, 11, 6, 6, 10, 12, 12, 12, 11, 11, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 11, 12, 11, 10, 12, 12, 12, 14, 13, 15, 15, 15, 10, 10, 10, 11, 13, 12, 14, 14, 4, 4, 5, 3, 3, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 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 ]
[ 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 3, 3, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 5, 1, 1, 2, 3, 3, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 5, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 3, 1, 1, 2, 3, 3, 0, 0, 1, 2, 2, 2, 2, 2, 3, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 5, 0, 2, 1, 2, 2, 2, 4, 0, 0, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 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 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 20654, 203, 465, 5237, 203, 465, 2322, 203, 1070, 11385, 36492, 32, 1262, 32, 29143, 1188, 281, 652, 2338, 619, 44524, 203, 589, 622, 81, 3142, 26, 7895, 30, 12870, 426, 47, 505, 426, 505, 711, 284, 2047, 280, 5237, 32, 3477, 77, 4652, 426, 79, 284, 2771, 280, 18623, 26, 1803, 30, 11477, 761, 505, 370, 1665, 27, 284, 415, 2771, 438, 1665, 44, 291, 3636, 45338, 4912, 100, 1401, 1289, 1156, 761, 505, 15981, 284, 1519, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 3359, 471, 7248, 27, 284, 11522, 280, 18623, 26, 1803, 30, 11477, 4554, 505, 370, 1665, 27, 284, 415, 11522, 438, 646, 1665, 44, 291, 1596, 44, 324, 706, 280, 11522, 32, 371, 81, 605, 26, 983, 27, 291, 2940, 308, 2338, 924, 30, 2212, 924, 711, 324, 3097, 291, 813, 44, 324, 442, 44524, 26, 605, 32, 5460, 463, 3310, 31, 42, 2847, 284, 442, 2156, 26, 500, 32, 983, 32, 19573, 49149, 26, 983, 471, 330, 4506, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 6, 7, 5, 6, 6, 5, 2, 2, 4, 4, 6, 7, 6, 6, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 8, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 11, 10, 5, 5, 6, 8, 8, 7, 8, 8, 7, 6, 6, 5, 5, 6, 6, 6, 8, 10, 13, 12, 13, 12, 14, 14, 14, 14, 2, 2, 3, 5, 9, 8, 9, 7, 8, 8, 7, 8, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 3, 3, 0, 4, 4, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 5, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 3, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 4, 4, 4, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 6, 1, 0, 0, 2, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 465, 13625, 203, 465, 5237, 203, 823, 9261, 1006, 4806, 5506, 26, 18986, 32, 7233, 711, 284, 827, 36, 858, 280, 1665, 3701, 665, 617, 3576, 26, 784, 711, 291, 442, 3447, 35, 563, 313, 36, 392, 313, 678, 35, 2510, 853, 35, 392, 313, 678, 36, 563, 26, 35, 30, 36, 30, 37, 4370, 284, 665, 617, 2951, 81, 9387, 26, 784, 711, 291, 442, 630, 32, 681, 36, 858, 346, 284, 665, 617, 2620, 81, 9387, 26, 784, 30, 706, 711, 291, 816, 280, 630, 1114, 2951, 81, 9387, 346, 291, 436, 1202, 30, 786, 328, 706, 32, 3028, 2262, 324, 816, 77, 678, 79, 280, 786, 291, 442, 816, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 4124, 711, 291, 15798, 32, 7233, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 4124, 27, 291, 630, 32, 3576, 280, 630, 1114, 3576, 922, 2991, 346, 291, 1202, 30, 786, 280, 630, 32, 3576, 32, 3235, 1094, 346, 291, 630, 32, 2455, 280, 301, 678, 44, 853, 111, 291, 1202, 30, 786, 280, 630, 32, 3576, 32, 3235, 1094, 346, 291, 630, 32, 266, 9387, 280, 301, 678, 44, 853, 111, 291, 630, 32, 3576, 77, 678, 79, 280, 786, 284, 665, 894, 81, 850, 26, 784, 711, 291, 298, 280, 630, 1114, 2951, 81, 9387, 346, 291, 298, 35, 280, 5436, 26, 98, 27, 4456, 343, 280, 630, 1114, 2620, 81, 9387, 26, 784, 32, 3576, 27, 291, 415, 343, 438, 298, 44, 324, 298, 280, 298, 35, 291, 436, 1202, 30, 786, 328, 630, 32, 3576, 32, 3028, 2262, 324, 630, 32, 5299, 26, 86, 77, 678, 614, 786, 27, 291, 8967, 678, 280, 1149, 26, 784, 32, 2455, 32, 3494, 47794, 34, 79, 291, 630, 32, 23895, 26, 953, 924, 30, 9254, 44, 86, 77, 3737, 678, 1130, 291, 630, 32, 5299, 26, 1657, 26, 98, 471, 225, 34, 27, 291, 630, 32, 5299, 26, 1657, 26, 86, 471, 2069, 26, 784, 32, 3576, 490, 291, 436, 831, 328, 630, 32, 3576, 44, 324, 630, 32, 33966, 26, 93, 30, 343, 27, 291, 436, 831, 328, 630, 32, 2455, 44, 324, 630, 32, 31196, 383, 26, 93, 30, 343, 27, 291, 630, 32, 5299, 26, 98, 30, 298, 27, 291, 630, 32, 5299, 26, 86, 30, 343, 27, 291, 630, 32, 31196, 1324, 26, 98, 30, 343, 27, 291, 630, 32, 31196, 1324, 26, 86, 30, 298, 27, 291, 415, 298, 44, 630, 32, 5066, 440, 2766, 7996, 2298, 8868, 372, 3177, 657, 291, 415, 646, 343, 44, 630, 32, 5066, 440, 4728, 7996, 2298, 8868, 372, 2933, 657, 291, 665, 1505, 81, 1731, 363, 668, 26, 1731, 30, 20265, 30, 2488, 711, 324, 630, 32, 6549, 26, 2040, 2437, 26, 1731, 30, 11477, 1978, 505, 2847, 324, 630, 32, 6549, 26, 2040, 2437, 26, 1731, 30, 11477, 1731, 505, 2847, 324, 816, 280, 1149, 26, 1731, 27, 324, 630, 32, 6549, 26, 470, 26, 106, 19162, 470, 26, 9980, 19162, 470, 26, 612, 490, 291, 1505, 81, 1731, 363, 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, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 7, 9, 9, 6, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 8, 9, 8, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 9, 10, 9, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 10, 11, 10, 9, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 9, 8, 9, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 9, 8, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 9, 4, 4, 5, 6, 6, 5, 5, 8, 9, 7, 8, 7, 5, 5, 9, 10, 9, 11, 10, 11, 10, 9, 9, 4, 4, 7, 6, 6, 9, 13, 12, 13, 11, 12, 11, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 10, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 11, 10, 11, 9, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 9, 10, 9, 10, 9, 9, 9, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 9, 10, 10, 9, 10, 9, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 8, 7, 8, 7, 7, 7, 4, 4, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 9, 10, 9, 11, 11, 11, 12, 11, 11, 13, 13, 13, 6, 6, 9, 10, 9, 11, 11, 11, 12, 11, 11, 13, 13, 13, 6, 6, 8, 8, 10, 11, 10, 6, 6, 9, 10, 9, 12, 12, 13, 12, 12, 12, 13, 12, 12, 12, 13, 12, 4, 4, 7, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 2, 5, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 4, 4, 2, 4, 4, 4, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 2, 2, 4, 4, 0, 2, 0, 2, 0, 0, 0, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 2, 4, 4, 4, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 9, 9, 9, 3, 2, 9, 9, 9, 0, 2, 1, 1, 1, 1, 1, 4, 4, 10, 10, 10, 3, 2, 10, 10, 10, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 15, 15, 15, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 16, 1, 16, 16, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 17, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 17, 17, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0 ]
[ 465, 1671, 30, 2322, 30, 1133, 203, 1070, 1359, 1188, 1359, 30, 3383, 5374, 30, 3383, 10922, 2023, 30, 3383, 1721, 1906, 30, 3383, 1031, 203, 1070, 931, 30624, 1188, 484, 29355, 4537, 1955, 53, 30, 484, 1711, 1208, 203, 1070, 19486, 32, 6795, 2422, 1188, 18680, 2422, 203, 1070, 15635, 32, 501, 84, 23733, 1188, 622, 9531, 22434, 6421, 38087, 417, 203, 1070, 931, 30624, 1188, 484, 6421, 203, 1070, 358, 1220, 1229, 1188, 31899, 1170, 203, 1070, 15635, 1188, 13254, 3096, 30, 41909, 203, 1070, 1133, 1188, 1133, 203, 465, 5592, 32, 48609, 32, 85, 1308, 3350, 203, 1163, 32, 90, 6521, 565, 85, 280, 3383, 1721, 1906, 346, 203, 1163, 32, 90, 6521, 565, 85, 32, 6565, 280, 3383, 10922, 2023, 26, 1536, 280, 2933, 27, 203, 1163, 32, 90, 6521, 565, 85, 32, 2435, 81, 7598, 81, 5362, 1170, 280, 3383, 10922, 2023, 26, 1536, 280, 2933, 27, 203, 1163, 32, 90, 6521, 565, 85, 32, 2435, 81, 7598, 81, 27762, 417, 280, 3383, 10922, 2023, 26, 1536, 280, 2933, 27, 203, 1163, 32, 90, 6521, 565, 85, 32, 3734, 81, 2480, 81, 1855, 280, 3383, 10922, 2023, 26, 1536, 280, 2933, 27, 203, 1163, 32, 90, 6521, 565, 85, 32, 3734, 81, 2480, 81, 3039, 280, 3383, 10922, 2023, 26, 1536, 280, 2933, 27, 203, 1163, 32, 90, 6521, 565, 85, 32, 2956, 81, 7598, 81, 5362, 1170, 280, 3383, 10922, 2023, 26, 1536, 280, 2933, 27, 203, 1163, 32, 90, 6521, 565, 85, 32, 2956, 81, 7598, 81, 27762, 417, 280, 3383, 10922, 2023, 26, 1536, 280, 2933, 27, 203, 1163, 32, 90, 6521, 565, 85, 32, 7598, 81, 27762, 417, 81, 18557, 280, 3383, 5374, 26, 203, 202, 19833, 280, 301, 203, 202, 20, 27762, 417, 563, 26155, 38087, 417, 2113, 203, 202, 20, 7598, 3734, 18960, 2468, 563, 26155, 16481, 14303, 2965, 3639, 2113, 203, 202, 20, 101, 28429, 747, 602, 563, 26155, 2028, 1326, 2113, 203, 202, 20, 2238, 1357, 563, 26155, 1862, 1326, 2113, 203, 202, 20, 500, 6161, 404, 747, 602, 563, 26155, 2636, 54, 636, 1326, 2113, 203, 202, 20, 7980, 314, 563, 26155, 18640, 2484, 308, 31174, 43471, 203, 202, 20, 6891, 563, 26155, 4277, 8790, 2113, 203, 202, 835, 203, 202, 1536, 280, 313, 2238, 1357, 657, 203, 1163, 32, 90, 6521, 565, 85, 32, 8638, 81, 18960, 81, 2468, 280, 3383, 1031, 26, 1536, 280, 313, 34, 32, 34, 32, 34, 32, 34, 657, 203, 1163, 32, 90, 6521, 565, 85, 32, 7236, 81, 42726, 280, 3383, 10922, 2023, 26, 1536, 280, 3177, 27, 203, 1163, 32, 90, 6521, 565, 85, 32, 2435, 81, 16097, 81, 27762, 417, 280, 3383, 10922, 2023, 26, 1536, 280, 3177, 27, 203, 1163, 32, 90, 6521, 565, 85, 32, 2435, 81, 16097, 81, 5362, 1170, 280, 3383, 10922, 2023, 26, 1536, 280, 3177, 27, 203, 1163, 32, 90, 6521, 565, 85, 32, 2956, 81, 8327, 5362, 1170, 81, 5057, 280, 3383, 10922, 2023, 26, 1536, 280, 3177, 27, 203, 1506, 295, 29357, 280, 1605, 203, 979, 595, 328, 308, 35, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 0, 4, 3, 4, 4, 4, 4, 2, 2, 4, 4, 4, 0, 5, 4, 5, 5, 5, 5, 3, 4, 2, 2, 4, 4, 4, 6, 5, 5, 4, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 5, 4, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 5, 4, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 5, 4, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 5, 4, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 5, 4, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 5, 4, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 6, 5, 5, 6, 6, 9, 9, 9, 9, 7, 11, 11, 11, 6, 6, 9, 9, 9, 9, 9, 9, 7, 11, 11, 11, 11, 11, 6, 6, 9, 9, 9, 9, 9, 9, 7, 11, 11, 11, 6, 6, 9, 9, 9, 9, 7, 11, 11, 11, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 11, 11, 11, 11, 11, 6, 6, 9, 9, 9, 9, 7, 11, 11, 11, 11, 11, 6, 6, 9, 9, 9, 7, 11, 11, 11, 6, 6, 6, 4, 4, 6, 5, 5, 7, 7, 7, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 2, 2, 4, 4, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 5, 4, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 5, 4, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 5, 4, 0, 5, 4, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 5, 4, 0, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 3, 3, 0, 0, 4, 4, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 8, 8, 8, 8, 0, 9, 9, 1, 2, 1, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 5, 1, 1, 2, 2, 2, 0, 1, 1, 2, 7, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 11, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 13, 1, 1, 2, 2, 2, 2, 1, 1, 0, 3, 3, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 25, 25, 25, 25, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 2726, 9874, 370, 330, 34, 34, 36, 39, 81, 6077, 81, 36, 34, 35, 43, 34, 35, 35, 40, 81, 35, 37, 39, 41, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 102, 14026, 496, 370, 324, 636, 1057, 2816, 81, 1028, 81, 2468, 370, 324, 1600, 47, 3378, 32, 16357, 26, 5006, 47, 1815, 30, 1769, 81, 1322, 47, 36, 39, 39, 30, 744, 47, 1815, 471, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 102, 14026, 496, 370, 324, 636, 1057, 2816, 81, 1028, 81, 5546, 370, 324, 1600, 47, 3378, 32, 16357, 26, 5006, 47, 1815, 30, 1769, 81, 1322, 47, 36, 39, 39, 30, 744, 47, 1815, 471, 291, 2588, 291, 12522, 32, 38137, 26, 324, 1542, 81, 426, 1057, 102, 14026, 496, 370, 324, 636, 1057, 5452, 81, 2171, 370, 324, 1600, 47, 3378, 32, 16357, 26, 5006, 47, 1815, 30, 1769, 81, 1322, 47, 39, 34, 30, 744, 47, 1815, 471, 291, 2588, 291, 12522, 32, 18846, 1176, 26, 324, 1542, 81, 426, 1057, 5784, 370, 324, 636, 1057, 496, 81, 3560, 370, 324, 1600, 47, 3378, 32, 46046, 1176, 26, 5006, 47, 1815, 30, 5886, 81, 426, 1057, 5784, 81, 3560, 370, 372, 1057, 9874, 32, 70, 14026, 1240, 1425, 291, 2588, 284, 1481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 12, 12, 11, 12, 12, 12, 10, 10, 11, 12, 10, 7, 7, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 12, 12, 11, 12, 12, 12, 10, 10, 11, 12, 10, 7, 7, 5, 5, 7, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 12, 12, 11, 12, 12, 10, 10, 11, 12, 10, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 11, 10, 12, 11, 12, 10, 10, 12, 12, 11, 13, 13, 13, 13, 10, 11, 13, 13, 13, 13, 13, 13, 7, 7, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 1, 1, 5, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 816, 1237, 278, 203, 1070, 48157, 1237, 278, 32, 2304, 32, 28497, 1188, 24288, 81, 325, 81, 10454, 203, 823, 6716, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1519, 711, 291, 630, 1114, 983, 280, 1519, 284, 665, 2156, 26, 784, 30, 2866, 47, 2700, 711, 291, 415, 646, 2322, 32, 983, 32, 4658, 26, 784, 1114, 983, 711, 324, 2322, 32, 27428, 26, 784, 1114, 983, 27, 291, 415, 2866, 44, 324, 3500, 280, 816, 1237, 278, 32, 21407, 3954, 26, 400, 630, 1114, 983, 30, 400, 816, 1237, 278, 32, 1996, 81, 6037, 81, 758, 81, 10933, 30, 324, 829, 291, 813, 44, 324, 1596, 44, 400, 3500, 280, 816, 1237, 278, 32, 3954, 26, 784, 1114, 983, 27, 324, 2940, 816, 1237, 278, 32, 3954, 33623, 924, 44, 400, 630, 32, 1297, 81, 4603, 346, 400, 3500, 280, 816, 1237, 278, 32, 3954, 26, 784, 1114, 983, 27, 291, 442, 3500, 284, 665, 1487, 81, 4603, 26, 784, 711, 291, 3500, 280, 816, 1237, 278, 32, 21407, 3954, 26, 324, 630, 1114, 983, 30, 324, 816, 1237, 278, 32, 1996, 81, 6037, 81, 758, 81, 10933, 30, 291, 829, 291, 3555, 3500, 284, 665, 1825, 81, 998, 26, 784, 711, 291, 3500, 280, 630, 32, 1676, 346, 291, 442, 24288, 81, 325, 81, 10454, 26, 4603, 2502, 5962, 44, 3500, 32, 371, 81, 1427, 998, 1157, 346, 284, 665, 4233, 26, 784, 711, 291, 1596, 44, 324, 436, 803, 81, 983, 328, 2322, 32, 26366, 26, 784, 1114, 983, 711, 400, 2322, 32, 2546, 26, 500, 32, 983, 32, 2524, 26, 784, 1114, 983, 30, 803, 81, 983, 490, 324, 2322, 32, 100, 38481, 26, 784, 1114, 983, 27, 291, 2940, 546, 21887, 44, 324, 3097, 203, 823, 26461, 3954, 26, 3954, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3082, 101, 711, 291, 630, 1114, 43093, 280, 3082, 101, 284, 665, 2156, 26, 784, 30, 2866, 47, 2700, 711, 291, 415, 2866, 44, 324, 3636, 10091, 440, 14386, 3500, 4881, 526, 13197, 436, 4127, 657, 291, 1695, 280, 630, 1114, 43093, 77, 34, 79, 291, 5081, 280, 1695, 32, 1676, 346, 291, 436, 3082, 328, 630, 1114, 43093, 77, 35, 44, 2786, 324, 5081, 32, 669, 81, 4603, 26, 1199, 32, 1676, 1157, 291, 442, 5081, 284, 665, 1487, 81, 4603, 26, 784, 711, 291, 3636, 22210, 284, 665, 4233, 26, 784, 711, 291, 3636, 22210, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 9, 10, 8, 9, 8, 10, 9, 10, 8, 5, 5, 9, 10, 9, 11, 10, 11, 9, 4, 4, 5, 5, 5, 5, 8, 8, 11, 11, 10, 11, 11, 10, 10, 10, 11, 12, 10, 10, 10, 12, 12, 11, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 5, 5, 6, 6, 6, 8, 8, 8, 11, 11, 14, 14, 13, 14, 13, 15, 14, 15, 13, 8, 8, 9, 11, 11, 10, 11, 11, 11, 9, 9, 9, 13, 14, 14, 14, 13, 10, 10, 12, 12, 15, 15, 14, 15, 14, 16, 15, 16, 14, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 8, 8, 8, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 11, 12, 12, 12, 12, 11, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 8, 7, 7, 9, 10, 9, 11, 10, 11, 9, 7, 7, 11, 12, 11, 15, 14, 15, 13, 14, 13, 15, 14, 15, 13, 13, 14, 14, 13, 6, 6, 9, 10, 10, 9, 11, 10, 11, 9, 5, 5, 6, 7, 6, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 8, 9, 7, 8, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 7, 8, 6, 8, 7, 6, 5, 5, 9, 10, 10, 10, 9, 12, 11, 12, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 3, 3, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 3, 0, 0, 1, 2, 2, 2, 3, 3, 3, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 3, 1, 3, 3, 3, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 2, 0, 0, 2, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 3, 3, 3, 0, 2, 3, 0, 2, 3, 3, 3, 0, 2, 2, 2, 1, 0, 0, 2, 1, 4, 4, 4, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 1070, 4377, 4280, 1188, 622, 81, 1803, 426, 203, 1070, 638, 1439, 1188, 5502, 3653, 30, 5502, 3653, 984, 203, 823, 5502, 3653, 1120, 26, 2573, 3653, 711, 284, 636, 280, 330, 1338, 25, 284, 3048, 280, 330, 2891, 2471, 2625, 312, 2702, 2297, 4564, 284, 665, 1156, 1664, 3207, 784, 30, 4262, 81, 18210, 47, 2700, 30, 20051, 81, 15615, 47, 2521, 30, 1115, 5321, 711, 291, 5502, 3653, 3667, 1664, 3207, 784, 30, 1115, 5321, 27, 291, 630, 1114, 5660, 280, 630, 32, 1515, 291, 630, 1114, 2958, 81, 18210, 280, 4262, 81, 18210, 291, 630, 1114, 15206, 318, 81, 15615, 280, 20051, 81, 15615, 284, 665, 1420, 26, 784, 711, 291, 2047, 81, 1338, 280, 5436, 346, 291, 2047, 81, 1338, 710, 1439, 81, 1515, 785, 280, 630, 1114, 371, 81, 1439, 81, 1515, 26, 784, 1114, 5660, 27, 291, 415, 2047, 81, 1338, 710, 1439, 81, 1515, 785, 438, 1665, 44, 324, 3636, 5502, 3653, 984, 44805, 25, 415, 630, 1114, 2958, 81, 18210, 813, 313, 2023, 2297, 2431, 7144, 291, 2322, 32, 31015, 26, 1803, 81, 1338, 710, 1439, 81, 1515, 3490, 291, 2047, 81, 1338, 710, 1803, 426, 785, 280, 622, 81, 1803, 426, 346, 291, 415, 2047, 81, 1338, 710, 1803, 426, 785, 438, 1665, 44, 324, 3636, 5502, 3653, 984, 44805, 25, 415, 630, 1114, 2958, 81, 18210, 813, 313, 2023, 2297, 2431, 7144, 291, 415, 630, 32, 1338, 710, 1648, 785, 610, 330, 37, 40, 25, 461, 308, 400, 2322, 32, 983, 32, 34103, 26, 500, 32, 983, 32, 2524, 463, 1017, 370, 2047, 81, 1338, 710, 1803, 426, 7698, 556, 400, 2322, 32, 983, 32, 34103, 26, 500, 32, 983, 32, 2524, 463, 1017, 370, 330, 2314, 305, 339, 716, 370, 2047, 81, 1338, 710, 1803, 426, 7698, 400, 8063, 324, 630, 32, 1338, 710, 1648, 785, 280, 330, 37, 41, 25, 291, 415, 646, 2322, 32, 983, 32, 29712, 26, 500, 32, 983, 32, 2524, 463, 14136, 370, 330, 12242, 370, 330, 4868, 8343, 3010, 32, 14136, 41095, 324, 630, 32, 1338, 710, 1648, 785, 280, 330, 37, 42, 25, 291, 2047, 81, 1338, 710, 1648, 785, 280, 630, 32, 1338, 710, 1648, 785, 291, 415, 330, 297, 81, 2292, 25, 328, 1149, 26, 784, 32, 1338, 32, 3494, 1157, 461, 630, 32, 1338, 710, 297, 81, 2292, 12132, 324, 2047, 81, 1338, 710, 297, 81, 2292, 785, 280, 2933, 291, 2047, 81, 1338, 710, 3563, 15615, 785, 280, 1605, 291, 2047, 81, 42706, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 1803, 81, 1338, 710, 1439, 81, 1515, 2188, 330, 1017, 683, 291, 415, 2322, 32, 983, 32, 34103, 26, 500, 32, 983, 32, 2524, 26, 1803, 81, 42706, 81, 1515, 30, 2047, 81, 1338, 710, 1803, 426, 7698, 44, 324, 2047, 81, 1338, 710, 3563, 15615, 5695, 1689, 26, 500, 32, 983, 32, 2524, 26, 1803, 81, 42706, 81, 1515, 30, 2047, 81, 1338, 710, 1803, 426, 7698, 291, 813, 44, 324, 2047, 81, 1338, 710, 3563, 15615, 5695, 1689, 26, 1803, 81, 42706, 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, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 4, 4, 8, 8, 7, 9, 9, 9, 9, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 8, 8, 7, 9, 9, 9, 9, 6, 6, 5, 5, 5, 7, 9, 9, 9, 12, 10, 10, 11, 12, 12, 12, 10, 10, 12, 12, 12, 12, 4, 4, 7, 8, 7, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 8, 8, 7, 9, 9, 9, 6, 6, 8, 8, 8, 8, 4, 4, 5, 8, 8, 7, 9, 9, 9, 6, 6, 5, 5, 5, 7, 9, 9, 9, 12, 10, 10, 11, 12, 12, 12, 10, 10, 12, 12, 12, 12, 4, 4, 5, 9, 10, 8, 10, 10, 7, 7, 9, 9, 9, 6, 6, 7, 7, 11, 12, 10, 11, 10, 14, 13, 14, 12, 13, 12, 14, 14, 12, 14, 14, 13, 15, 15, 15, 8, 8, 8, 11, 12, 10, 11, 10, 14, 13, 14, 12, 13, 12, 14, 14, 12, 14, 14, 14, 14, 14, 12, 14, 14, 13, 15, 15, 15, 7, 7, 5, 5, 10, 11, 9, 11, 11, 8, 8, 10, 10, 10, 4, 4, 5, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 12, 12, 10, 12, 12, 10, 12, 12, 12, 12, 12, 12, 5, 5, 10, 11, 9, 11, 11, 8, 8, 10, 10, 10, 4, 4, 8, 8, 7, 9, 9, 6, 6, 8, 9, 7, 9, 9, 4, 4, 5, 9, 9, 9, 9, 7, 7, 9, 13, 12, 13, 11, 12, 11, 6, 6, 8, 9, 7, 9, 9, 9, 9, 5, 5, 10, 10, 9, 11, 11, 11, 11, 8, 8, 4, 4, 8, 8, 7, 9, 9, 9, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 9, 11, 11, 11, 11, 8, 10, 10, 4, 4, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 9, 11, 11, 10, 12, 12, 12, 5, 5, 5, 11, 11, 10, 12, 12, 12, 10, 9, 13, 12, 13, 11, 12, 11, 12, 12, 12, 12, 12, 11, 11, 13, 13, 12, 14, 14, 14, 5, 5, 6, 6, 6, 12, 12, 11, 13, 13, 13, 11, 10, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 4, 4, 5, 0, 0, 0, 1, 1, 2, 1, 1, 5, 5, 5, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 6, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 3, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 5, 1, 1, 2, 2, 2, 6, 6, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 4, 4, 7, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 4, 4, 9, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 9, 9, 0, 0, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 0, 1, 1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 12, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 2, 12, 12, 12, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 2, 12, 12, 4, 4, 4, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1 ]
[ 465, 5237, 203, 465, 15798, 203, 465, 3619, 105, 410, 1690, 203, 465, 1133, 203, 1070, 3619, 4463, 37, 36, 81, 46137, 1188, 596, 36, 3651, 30, 1522, 36, 5566, 203, 465, 7138, 203, 465, 4134, 203, 823, 19205, 26, 18986, 32, 7233, 711, 284, 665, 894, 4997, 1043, 2207, 26, 784, 711, 291, 1671, 81, 1700, 280, 1133, 32, 1696, 1003, 346, 291, 3619, 1003, 81, 1700, 280, 3619, 105, 410, 1690, 32, 1043, 26, 1167, 81, 1700, 27, 291, 2179, 81, 8352, 280, 5461, 83, 904, 51, 904, 84, 904, 52, 904, 85, 904, 86, 904, 58, 904, 59, 904, 92, 904, 95, 904, 63, 904, 98, 904, 69, 904, 71, 904, 105, 904, 73, 904, 106, 904, 74, 904, 107, 904, 75, 20, 291, 436, 4550, 328, 2179, 81, 8352, 32, 2998, 2262, 324, 354, 35, 280, 3619, 1003, 81, 1700, 32, 2207, 26, 3972, 27, 324, 354, 36, 280, 1133, 32, 20834, 26, 3972, 30, 1671, 81, 1700, 27, 324, 630, 32, 4983, 26, 104, 35, 30, 354, 36, 30, 313, 1643, 904, 101, 3803, 429, 904, 100, 863, 904, 100, 20, 904, 308, 3972, 30, 354, 35, 30, 354, 36, 490, 284, 665, 894, 4997, 1043, 4014, 26, 784, 711, 291, 1596, 44, 324, 273, 280, 3619, 105, 410, 1690, 32, 1043, 3736, 36, 27, 324, 273, 32, 2207, 346, 291, 2940, 10091, 44, 324, 442, 284, 665, 894, 48873, 7167, 26, 784, 711, 291, 343, 280, 2149, 291, 343, 710, 102, 35, 785, 280, 3619, 105, 410, 1690, 32, 1043, 26, 35, 27, 291, 630, 32, 5066, 23093, 1324, 26, 86, 710, 102, 35, 2188, 3619, 105, 410, 1690, 32, 1043, 26, 35, 490, 284, 665, 894, 4997, 1043, 10616, 26, 784, 711, 291, 273, 35, 280, 3619, 105, 410, 1690, 32, 1043, 26, 35, 34, 34, 27, 291, 273, 35, 81, 36, 280, 3619, 105, 410, 1690, 32, 1043, 26, 35, 34, 34, 27, 291, 273, 36, 280, 3619, 105, 410, 1690, 32, 1043, 26, 35, 34, 35, 27, 291, 630, 32, 5066, 23093, 1324, 26, 102, 35, 30, 273, 35, 81, 36, 27, 291, 630, 32, 5066, 23093, 26, 102, 35, 2511, 273, 35, 81, 36, 27, 291, 630, 32, 5066, 23093, 26, 102, 35, 81, 36, 2377, 273, 35, 27, 291, 630, 32, 5066, 2797, 1324, 26, 102, 35, 30, 273, 36, 27, 291, 630, 32, 5066, 23093, 26, 102, 35, 333, 273, 36, 27, 291, 630, 32, 5066, 23093, 26, 102, 36, 848, 273, 35, 829, 284, 665, 894, 4997, 1043, 10616, 8381, 26, 784, 711, 291, 273, 35, 280, 3619, 105, 410, 1690, 32, 1043, 26, 35, 34, 34, 27, 291, 273, 36, 280, 1665, 291, 630, 32, 5066, 2797, 1324, 26, 102, 35, 30, 273, 36, 27, 284, 665, 894, 1043, 8924, 26, 784, 711, 291, 2464, 280, 7138, 32, 6665, 32, 2174, 346, 4456, 9222, 280, 3619, 105, 410, 1690, 32, 1043, 26, 2174, 32, 1003, 7288, 1157, 291, 415, 6937, 26, 385, 30, 7138, 32, 6665, 711, 324, 630, 32, 5066, 23093, 26, 385, 2511, 2464, 27, 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, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 8, 8, 7, 8, 7, 5, 5, 9, 8, 8, 11, 11, 11, 10, 11, 10, 11, 10, 6, 6, 9, 8, 8, 10, 11, 10, 11, 10, 10, 11, 11, 10, 6, 6, 9, 10, 9, 10, 10, 9, 9, 10, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 11, 12, 11, 11, 12, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 11, 11, 11, 10, 11, 10, 12, 10, 6, 6, 9, 10, 9, 5, 5, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 7, 9, 9, 9, 6, 6, 9, 9, 9, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 9, 8, 10, 10, 10, 7, 10, 10, 10, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 7, 9, 9, 8, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 8, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 7, 9, 9, 8, 8, 9, 7, 4, 4, 7, 8, 8, 7, 9, 9, 8, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 4, 4, 6, 6, 9, 9, 9, 8, 9, 8, 11, 10, 11, 11, 10, 4, 4, 5, 7, 8, 7, 7, 8, 9, 7, 5, 5, 9, 10, 10, 9, 11, 10, 10, 9, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 2, 2, 3, 2, 2, 5, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 3, 3, 3, 3, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 4, 4, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 4 ]
[ 465, 6234, 30, 17778, 203, 589, 2145, 2262, 284, 5111, 4817, 280, 6234, 32, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 284, 5111, 4817, 32, 2539, 39109, 35, 36, 41, 32, 34, 32, 34, 32, 35, 370, 225, 35, 34, 34, 34, 34, 490, 284, 5111, 4817, 32, 12220, 26, 39, 27, 284, 1459, 313, 35357, 436, 312, 3387, 20, 284, 27175, 81, 1666, 280, 17778, 32, 4071, 81, 4817, 26, 2539, 4817, 30, 2145, 81, 2671, 47, 1815, 30, 1202, 761, 1057, 1569, 1772, 32, 678, 370, 6445, 761, 12541, 1772, 32, 20579, 392, 17778, 81, 1648, 47, 6482, 32, 20474, 81, 15174, 104, 35, 27, 284, 4567, 2238, 30, 645, 3225, 280, 27175, 81, 1666, 32, 7494, 346, 284, 1459, 313, 11877, 20, 284, 1596, 44, 291, 8647, 81, 1793, 81, 1580, 26, 3781, 2238, 27, 284, 8295, 44, 291, 4567, 2238, 32, 16080, 26, 4817, 32, 48682, 81, 12733, 2591, 27, 291, 4567, 2238, 32, 2679, 346, 284, 5111, 4817, 32, 16080, 26, 4817, 32, 48682, 81, 12733, 2591, 27, 284, 5111, 4817, 32, 2679, 346, 203, 589, 8647, 81, 1793, 81, 1580, 26, 101, 711, 284, 706, 280, 313, 583, 2995, 20, 284, 2218, 2069, 308, 605, 27, 848, 225, 34, 44, 291, 1459, 313, 10593, 372, 20530, 20, 291, 706, 280, 309, 32, 12084, 26, 35, 34, 36, 38, 27, 291, 1459, 313, 750, 44, 313, 474, 706, 203, 589, 2043, 2262, 284, 13363, 280, 6234, 32, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 284, 17778, 81, 9184, 280, 17778, 32, 4071, 81, 4817, 26, 9184, 30, 6445, 81, 47297, 280, 17778, 32, 21729, 81, 8467, 30, 17778, 81, 1648, 280, 17778, 32, 20474, 81, 15174, 104, 35, 27, 284, 17778, 81, 9184, 32, 3517, 39109, 35, 36, 41, 32, 34, 32, 34, 32, 35, 370, 225, 35, 34, 34, 34, 34, 490, 284, 17778, 81, 9184, 32, 2714, 2884, 858, 1474, 657, 284, 17778, 81, 9184, 32, 16080, 26, 4817, 32, 48682, 81, 12733, 2591, 27, 284, 17778, 81, 9184, 32, 2679, 346, 203, 465, 5237, 203, 325, 2069, 308, 3731, 32, 6118, 27, 610, 225, 35, 556, 308, 1657, 308, 3731, 32, 6118, 27, 610, 225, 36, 461, 5237, 32, 6118, 77, 35, 1674, 34, 79, 610, 330, 101, 7831, 284, 2145, 1404, 203, 1824, 44, 284, 2043, 1404, 203, 4775, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 5, 4, 4, 6, 7, 6, 8, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 6, 2, 2, 6, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 7, 7, 7, 6, 2, 2, 6, 5, 6, 5, 6, 5, 2, 2, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 7, 7, 6, 6, 8, 8, 7, 8, 6, 6, 8, 7, 9, 9, 9, 9, 9, 6, 8, 7, 9, 9, 9, 9, 6, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 6, 2, 2, 6, 5, 5, 6, 4, 4, 7, 7, 6, 7, 6, 2, 2, 3, 5, 5, 2, 2, 3, 3, 3, 7, 7, 7, 7, 7, 8, 8, 7, 3, 3, 4, 4, 4, 9, 8, 9, 8, 10, 9, 10, 10, 10, 10, 8, 5, 5, 9, 8, 9, 8, 2, 2, 6, 5, 6, 5, 7, 6, 7, 7, 7, 7, 5, 2, 2, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 3, 5, 7, 6, 4, 4, 5, 3, 3, 3, 5, 7, 7, 7, 7, 4, 4, 6, 6, 8, 9, 8, 9, 9, 9, 9, 8, 4, 4, 5, 8, 8, 8, 6, 6, 0, 1, 1, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 7, 6, 6, 8, 8, 7, 7, 8, 9, 9, 9, 6, 6, 8, 8, 7, 7, 8, 9, 9, 9, 9, 9, 6, 2, 2, 6, 6, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 7, 7, 7, 6, 2, 2, 6, 6, 5, 6, 4, 7, 7, 7, 2, 2, 6, 6, 5, 6, 5, 7, 6, 7, 7, 7, 7, 5, 2, 2, 6, 6, 5, 6, 5, 0, 1, 1, 0, 1, 1, 4, 7, 6, 7, 5, 3, 3, 4, 2, 2, 7, 6, 9, 8, 9, 7, 5, 5, 6, 4, 4, 8, 9, 7, 8, 7, 7, 6, 5, 5, 7, 7, 1, 1, 4, 1, 2, 2, 2, 2, 5, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 5, 1, 1, 1, 1, 2, 1, 0, 7, 1, 1, 1, 2, 1, 0, 0, 9, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 6, 1, 2, 4, 4, 7, 7, 7, 0, 0, 0, 0, 1, 1, 1, 1, 7, 7, 3, 3, 3, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 4, 4, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 0, 3, 3, 2, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 3, 2, 2, 2, 2, 1, 1, 0, 0, 5, 5, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 4, 4, 0, 5, 5, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 5, 5, 0, 5, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 25843, 81, 7287, 10875, 280, 2726, 1382, 370, 330, 3075, 370, 330, 83, 370, 330, 15931, 370, 330, 493, 370, 330, 274, 370, 330, 342, 370, 324, 313, 94, 13042, 330, 335, 370, 330, 13983, 370, 330, 1882, 370, 330, 91, 370, 330, 97, 370, 330, 19487, 370, 330, 311, 370, 330, 286, 370, 330, 9403, 370, 324, 330, 278, 370, 330, 12120, 370, 330, 6888, 370, 330, 87, 482, 370, 330, 5114, 370, 330, 10264, 370, 330, 89, 374, 370, 330, 315, 370, 330, 500, 370, 324, 330, 742, 370, 330, 8497, 370, 330, 1373, 370, 330, 42347, 370, 330, 4945, 41085, 330, 2127, 370, 330, 1349, 370, 330, 279, 41085, 324, 330, 95, 3806, 370, 313, 311, 13042, 330, 17681, 370, 330, 25574, 370, 330, 13205, 370, 330, 4192, 107, 370, 330, 9859, 370, 330, 87, 2353, 370, 324, 3228, 3077, 37, 78, 106, 42, 88, 370, 3228, 3077, 37, 78, 106, 42, 41, 370, 3228, 3077, 37, 78, 106, 43, 38, 78, 3077, 37, 78, 16192, 370, 3228, 3077, 37, 78, 106, 42, 88, 78, 3077, 37, 78, 2925, 43, 683, 203, 24162, 81, 7287, 10875, 280, 301, 284, 330, 23537, 950, 2726, 1382, 370, 330, 83, 370, 330, 278, 1425, 284, 330, 1011, 34897, 950, 2726, 3075, 370, 330, 274, 370, 313, 94, 13042, 330, 335, 370, 330, 91, 370, 330, 311, 370, 330, 12120, 370, 330, 89, 374, 370, 330, 315, 370, 313, 311, 13042, 400, 330, 17681, 1425, 284, 330, 6484, 1708, 950, 2726, 3075, 370, 330, 315, 370, 330, 342, 370, 330, 6888, 370, 330, 311, 370, 330, 9403, 370, 330, 12120, 370, 330, 279, 370, 330, 4025, 370, 400, 330, 311, 500, 370, 330, 311, 302, 370, 330, 17681, 1425, 284, 330, 56, 20191, 950, 2726, 274, 370, 313, 94, 13042, 330, 3075, 370, 330, 1882, 370, 330, 311, 370, 330, 6854, 370, 330, 7196, 370, 330, 4452, 370, 330, 1794, 370, 3228, 3077, 37, 78, 2925, 34, 2317, 370, 400, 330, 286, 2317, 370, 330, 11416, 1425, 284, 330, 3437, 888, 340, 277, 950, 2726, 83, 370, 330, 302, 370, 330, 97, 370, 330, 500, 370, 330, 378, 370, 330, 16288, 370, 330, 18324, 370, 330, 378, 302, 1425, 284, 330, 25181, 93, 1708, 950, 23296, 225, 203, 111, 203, 24162, 81, 7287, 10875, 371, 280, 36297, 81, 7287, 10875, 32, 371, 203, 24162, 81, 19006, 1310, 12145, 280, 301, 284, 330, 23537, 950, 2726, 4445, 4223, 370, 330, 3912, 43815, 363, 370, 330, 32157, 5488, 370, 330, 501, 32, 32423, 905, 370, 330, 3761, 690, 905, 370, 330, 60, 4478, 5285, 370, 330, 52, 2371, 404, 302, 370, 330, 1812, 18692, 279, 363, 370, 330, 35793, 8935, 97, 370, 330, 61, 272, 9486, 370, 330, 48464, 1211, 42384, 370, 330, 28735, 18600, 370, 330, 26422, 399, 33791, 370, 330, 501, 32, 676, 266, 2460, 461, 322, 570, 1575, 339, 2353, 370, 330, 13069, 4441, 370, 330, 15626, 370, 330, 64, 20690, 905, 370, 330, 51, 35160, 370, 330, 32713, 370, 330, 501, 32, 27989, 1421, 461, 8026, 1874, 370, 330, 24669, 518 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 5, 3, 6, 6, 6, 6, 6, 6, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 7, 7, 5, 7, 7, 5, 7, 7, 3, 3, 6, 6, 6, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 3, 3, 6, 6, 6, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 3, 3, 6, 6, 6, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 8, 8, 8, 8, 8, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 3, 3, 6, 6, 6, 6, 6, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 5, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 7, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 9, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 11, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 465, 13092, 203, 1070, 13134, 1188, 1359, 81, 1819, 203, 1070, 13134, 32, 421, 1142, 1188, 1224, 5804, 1899, 3062, 203, 1070, 13134, 32, 7982, 32, 5210, 3767, 1188, 19291, 81, 87, 34986, 81, 31818, 203, 1070, 13134, 32, 7982, 32, 5210, 3767, 1188, 6092, 3767, 81, 31818, 203, 1070, 13134, 32, 24575, 1188, 1224, 31989, 43651, 203, 1070, 13134, 32, 2304, 1114, 4266, 1188, 1201, 81, 35502, 203, 50, 12408, 32, 1826, 32, 28913, 440, 9582, 392, 3037, 10586, 392, 313, 8018, 6890, 203, 50, 12408, 32, 1826, 32, 28913, 440, 96, 81, 24575, 392, 2155, 26, 35, 30, 225, 40, 490, 203, 589, 894, 81, 44980, 81, 421, 3062, 81, 3229, 26, 9582, 30, 310, 81, 24575, 711, 284, 310, 81, 2138, 280, 225, 35, 34, 284, 310, 81, 8221, 280, 225, 36, 284, 1593, 280, 2065, 32, 3855, 32, 6386, 26, 96, 81, 2138, 30, 310, 81, 8221, 27, 284, 1593, 77, 34, 30, 225, 34, 79, 280, 2065, 32, 10095, 284, 1360, 3062, 280, 1224, 5804, 1899, 3062, 26, 96, 81, 24575, 47, 96, 81, 24575, 30, 11229, 47, 9582, 27, 284, 1593, 81, 421, 5643, 280, 1360, 3062, 32, 4698, 81, 3792, 26, 74, 27, 284, 1201, 1593, 81, 421, 5643, 32, 3229, 610, 308, 96, 81, 2138, 30, 310, 81, 8221, 27, 203, 50, 12408, 32, 1826, 32, 28913, 440, 3258, 392, 428, 2356, 32, 10095, 30, 429, 35, 1130, 203, 589, 894, 81, 44980, 81, 421, 3062, 81, 1536, 81, 1793, 81, 5790, 81, 1131, 26, 3258, 711, 284, 1593, 280, 2065, 32, 955, 2009, 291, 428, 2356, 32, 5267, 30, 225, 35, 30, 225, 35, 30, 225, 36, 30, 5499, 614, 291, 428, 36, 30, 225, 35, 30, 225, 36, 30, 225, 36, 30, 225, 37, 614, 291, 428, 37, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 42, 614, 291, 428, 3258, 30, 225, 40, 30, 225, 34, 30, 225, 39, 30, 225, 35, 37, 614, 291, 428, 3258, 30, 225, 41, 30, 225, 34, 30, 225, 41, 30, 225, 42, 614, 291, 428, 40, 30, 225, 40, 30, 225, 36, 30, 225, 39, 30, 225, 41, 614, 284, 8834, 284, 623, 13092, 32, 16708, 26, 22239, 30, 2530, 347, 1612, 4304, 308, 36295, 110, 11126, 27, 10280, 291, 1224, 5804, 1899, 3062, 26, 9785, 81, 2810, 47, 3258, 547, 4698, 26, 74, 27, 284, 1593, 280, 2065, 32, 955, 2009, 291, 428, 2356, 32, 5267, 30, 225, 35, 30, 225, 35, 30, 225, 36, 30, 5499, 614, 291, 428, 36, 30, 225, 35, 30, 225, 36, 30, 225, 36, 30, 225, 37, 614, 291, 428, 37, 30, 225, 36, 30, 225, 37, 30, 225, 37, 30, 225, 42, 614, 291, 428, 3258, 30, 225, 40, 30, 225, 34, 30, 225, 39, 30, 225, 35, 37, 614, 291, 428, 3258, 30, 225, 41, 30, 225, 34, 30, 225, 41, 30, 225, 42, 614, 291, 428, 40, 30, 225, 40, 30, 225, 36, 30, 225, 39, 30, 225, 41, 614, 284, 8834, 284, 1593, 81, 4698 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 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, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 2, 6, 5, 6, 4, 5, 4, 6, 6, 4, 7, 7, 5, 7, 7, 1, 2, 6, 5, 6, 4, 5, 4, 6, 6, 6, 6, 4, 6, 7, 6, 6, 7, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 2, 2, 6, 6, 5, 5, 6, 6, 3, 3, 6, 6, 5, 5, 6, 3, 3, 5, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 3, 3, 6, 7, 6, 6, 7, 6, 5, 5, 6, 7, 3, 3, 6, 5, 5, 7, 7, 7, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 9, 7, 3, 3, 6, 6, 6, 5, 5, 8, 7, 8, 8, 8, 7, 8, 7, 3, 3, 4, 7, 7, 7, 6, 7, 5, 5, 7, 7, 7, 6, 6, 7, 7, 6, 0, 2, 6, 5, 6, 4, 5, 4, 6, 6, 4, 7, 6, 7, 5, 5, 7, 5, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 8, 7, 8, 8, 11, 10, 11, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 10, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 8, 8, 3, 3, 4, 8, 9, 8, 9, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 10, 10, 10, 10, 12, 12, 12, 11, 12, 10, 9, 8, 9, 8, 3, 3, 5, 5, 7, 8, 7, 8, 8, 11, 10, 11, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 10, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 8, 8, 3, 3, 6, 6 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 8, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 8, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 0, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 6, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 3, 3, 1, 3, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 9, 3, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 5, 9, 5, 1, 1, 1, 7, 7, 3, 7, 7, 5, 7, 7, 7, 7, 7, 9, 9, 7, 1, 1, 1, 9, 9, 3, 9, 9, 5, 9, 9, 7, 9, 9, 9, 9, 1, 1, 1, 11, 11, 3, 11, 11, 5, 11, 11, 7, 11, 11, 9, 11, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 9, 3, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 5, 9, 5, 1, 1, 1, 7, 7, 3, 7, 7, 5, 7, 7, 7, 7, 7, 9, 9, 7, 1, 1, 1, 9, 9, 3, 9, 9, 5, 9, 9, 7, 9, 9, 9, 9, 1, 1, 1, 11, 11, 3, 11, 11, 5, 11, 11, 7, 11, 11, 9, 11, 1, 1, 4, 4, 0, 0 ]
[ 1070, 1673, 2304, 32, 2501, 32, 1832, 81, 407, 1188, 1968, 81, 407, 619, 617, 1794, 81, 1832, 81, 407, 203, 1270, 44, 284, 645, 4354, 28852, 32, 4496, 2304, 32, 1832, 81, 407, 1188, 1968, 81, 407, 619, 617, 1832, 81, 407, 203, 7343, 29986, 44, 284, 617, 1832, 81, 407, 280, 617, 1794, 81, 1832, 81, 407, 203, 465, 2322, 30, 5237, 203, 1070, 1673, 2304, 32, 761, 81, 1040, 1188, 1933, 81, 761, 203, 1070, 29947, 32, 6728, 1188, 13392, 203, 1070, 1673, 2304, 32, 85, 10199, 1188, 537, 81, 10199, 203, 1070, 1673, 2304, 32, 3731, 1163, 1188, 26428, 81, 10199, 203, 1270, 44, 284, 645, 5237, 1163, 1188, 617, 6191, 81, 38642, 203, 7343, 29986, 44, 284, 645, 1673, 2304, 32, 3731, 1163, 1188, 622, 81, 1163, 81, 869, 284, 622, 81, 1163, 81, 869, 440, 7118, 24463, 657, 10065, 3555, 622, 81, 1163, 81, 869, 284, 645, 1673, 2304, 32, 3731, 1163, 1188, 617, 1163, 81, 6862, 619, 617, 6191, 81, 38642, 203, 1070, 1673, 2304, 1188, 1245, 203, 1070, 1673, 2304, 32, 4275, 1188, 319, 203, 8791, 81, 2051, 1381, 280, 3177, 203, 539, 81, 34621, 280, 3177, 203, 1356, 681, 280, 330, 4190, 25, 203, 325, 5237, 32, 5134, 610, 313, 24917, 563, 284, 793, 81, 34621, 280, 2933, 203, 12106, 2322, 32, 426, 863, 330, 566, 950, 284, 1596, 44, 291, 645, 20927, 1188, 44011, 54, 81, 30130, 291, 1159, 81, 2051, 1381, 280, 2933, 291, 793, 81, 34621, 280, 2933, 284, 2940, 29986, 44, 291, 3097, 203, 589, 415, 81, 3657, 26, 101, 711, 284, 415, 1159, 81, 2051, 1381, 44, 291, 442, 309, 284, 442, 4247, 203, 823, 1968, 81, 407, 2176, 1832, 81, 407, 711, 284, 665, 1420, 26, 784, 711, 291, 3610, 81, 30990, 30, 630, 32, 30990, 280, 630, 32, 30990, 30, 225, 34, 291, 617, 1832, 81, 407, 32, 1945, 26, 784, 27, 291, 630, 32, 30990, 280, 3610, 81, 30990, 291, 415, 3610, 81, 30990, 44, 324, 630, 32, 2991, 81, 9081, 81, 452, 81, 1855, 346, 284, 665, 1933, 81, 9081, 81, 452, 81, 1855, 26, 784, 711, 291, 1968, 81, 978, 280, 630, 32, 371, 81, 3220, 1191, 81, 2501, 463, 1832, 81, 978, 683, 291, 436, 1447, 328, 630, 32, 9081, 44, 324, 37651, 280, 630, 32, 371, 81, 407, 81, 27207, 26, 407, 32, 426, 27, 324, 4870, 280, 630, 32, 371, 81, 407, 81, 3607, 26, 27207, 27, 324, 2047, 983, 280, 37651, 32, 2998, 36909, 324, 2652, 280, 5608, 2473, 2524, 26, 1803, 983, 20129, 35, 1130, 324, 2652, 81, 1515, 280, 1968, 81, 978, 32, 371, 81, 1320, 81, 1515, 26, 1320, 27, 324, 3466, 81, 3607, 280, 2322, 32, 983, 32, 2524, 26, 1320, 81, 1515, 30, 500, 32, 983, 32, 15705, 26, 3607, 490, 324, 1561, 81, 3607, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 1832, 81, 1356, 30, 3607, 27, 324, 1933, 81, 761, 26, 400, 1561, 81, 3607, 30, 3466, 81, 3607, 30, 9541, 47, 784, 32, 10529, 30, 400, 32609, 81, 1945 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 5, 4, 5, 5, 4, 5, 5, 5, 3, 3, 6, 6, 4, 4, 5, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 5, 3, 3, 5, 5, 5, 1, 2, 2, 2, 2, 2, 4, 6, 5, 6, 6, 4, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 3, 3, 4, 6, 5, 6, 6, 4, 4, 7, 7, 7, 5, 5, 6, 6, 6, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 4, 4, 0, 1, 1, 3, 4, 2, 2, 4, 4, 1, 1, 5, 5, 4, 4, 1, 2, 2, 4, 5, 3, 3, 5, 5, 2, 2, 4, 4, 4, 6, 6, 6, 8, 8, 8, 5, 5, 8, 8, 8, 7, 7, 5, 5, 8, 8, 7, 7, 4, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 8, 7, 7, 8, 9, 6, 6, 8, 9, 7, 7, 8, 4, 4, 8, 8, 8, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 10, 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, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 8, 8, 10, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 9, 8, 8, 10, 11, 10, 6, 6, 8, 8, 12, 11, 10, 12, 12, 11, 14, 11, 6, 6, 9, 9, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 14, 13, 14, 12, 13, 12, 13, 12, 6, 6, 9, 9, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 12, 12, 10, 11, 10, 6, 6, 9, 9, 9, 9, 9, 10, 10, 9, 9, 10, 10, 9, 9, 10, 12, 11, 12, 9, 9, 9, 11, 11 ]
[ 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 4, 4, 4, 0, 0, 0, 0, 3, 3, 2, 2, 2, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 2, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 2, 6, 6, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 3, 3, 3, 3, 3, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 3, 3, 3, 0, 1, 2, 2, 3, 3, 0, 0, 0, 3, 3, 2, 2, 2, 0, 8, 8, 0, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 13, 13, 0, 2, 1, 1, 1, 2, 13, 13, 0, 0, 0, 0, 13, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 0, 0, 0, 0, 4, 4, 1, 0, 15, 15, 1, 1, 2, 1, 1, 1, 2, 15, 15, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 3, 1, 1, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 3, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 0, 2, 2, 1, 1, 1, 0, 0 ]
[ 465, 7138, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 28771, 1188, 2364, 81, 2853, 30, 1406, 81, 2560, 30, 2364, 81, 2560, 203, 1070, 8527, 32, 12023, 32, 1286, 2516, 32, 3378, 1188, 38718, 203, 1070, 34127, 32, 3378, 1188, 18334, 30, 6401, 203, 1070, 1712, 2238, 1188, 2125, 203, 1070, 1712, 2238, 32, 3378, 1188, 18756, 203, 1070, 831, 13480, 470, 32, 2304, 1188, 883, 3780, 518, 30, 7378, 81, 979, 81, 944, 605, 203, 1070, 1894, 416, 302, 32, 3378, 1188, 8170, 14153, 21176, 30, 8170, 14153, 29012, 30, 8170, 14153, 19635, 30, 8170, 14153, 203, 1070, 7324, 32, 3378, 1188, 6116, 30, 6116, 620, 203, 50, 5820, 81, 979, 81, 944, 605, 203, 589, 3627, 81, 46309, 81, 302, 2456, 81, 1141, 26, 8262, 30, 3272, 30, 1980, 30, 1115, 5321, 711, 284, 415, 3272, 44, 291, 2125, 32, 2714, 26, 2386, 32, 46309, 30, 18545, 1057, 46309, 619, 961, 3011, 370, 528, 3048, 1057, 46309, 5461, 101, 20, 619, 961, 3011, 372, 20424, 5461, 101, 14891, 904, 16501, 308, 2386, 32, 46309, 3667, 9941, 505, 1026, 2386, 32, 15090, 32, 1311, 471, 528, 1760, 280, 1980, 30, 528, 6341, 280, 7138, 32, 6665, 32, 2174, 1157, 284, 813, 44, 291, 2125, 32, 2714, 26, 2386, 32, 46309, 30, 18545, 1057, 46309, 31, 15090, 14772, 4459, 370, 528, 3048, 1057, 12610, 3733, 1894, 14153, 5461, 101, 20, 461, 20424, 5461, 101, 20, 1597, 4459, 25, 904, 715, 308, 2386, 32, 46309, 3667, 9941, 505, 1026, 2386, 32, 15090, 32, 1311, 471, 528, 1760, 280, 1980, 30, 528, 6341, 280, 7138, 32, 6665, 32, 2174, 1157, 203, 1526, 81, 2853, 32, 3517, 26, 4133, 81, 46309, 81, 302, 2456, 81, 1141, 30, 7045, 47, 3284, 14153, 21176, 27, 203, 50, 5820, 81, 979, 81, 944, 605, 203, 589, 3627, 81, 46309, 81, 32962, 695, 81, 1141, 26, 8262, 30, 1980, 30, 1115, 5321, 711, 284, 2125, 32, 2714, 26, 2386, 32, 46309, 30, 18545, 1057, 46309, 6556, 370, 400, 3048, 347, 46309, 904, 101, 6556, 645, 20424, 904, 101, 20, 904, 528, 308, 2386, 32, 46309, 32, 426, 30, 2386, 32, 15090, 32, 1311, 471, 400, 1760, 280, 1980, 32, 15090, 30, 400, 6341, 280, 7138, 32, 6665, 32, 2174, 1157, 203, 1001, 81, 2560, 32, 3517, 26, 4133, 81, 46309, 81, 32962, 695, 81, 1141, 30, 7045, 47, 3284, 14153, 21176, 27, 203, 50, 5820, 81, 979, 81, 944, 605, 203, 589, 3627, 81, 46309, 81, 17305, 81, 302, 2456, 81, 1141, 26, 8262, 30, 3272, 30, 1980, 30, 1115, 5321, 711, 284, 415, 3272, 44, 291, 2125, 32, 2714, 26, 2386, 32, 46309, 30, 18545, 1057, 46309, 81, 17305, 81, 302, 961, 3011, 370, 528, 3048, 1057, 46309, 5461, 101, 20, 619, 961, 3011, 372, 27626, 5461, 101, 14891, 904, 715, 308, 2386, 32, 46309, 3667, 9941, 505, 1026, 2386, 32, 17305, 32, 2620, 81, 1311, 471, 528, 1760, 280, 1980, 30, 528, 6341, 280, 7138, 32, 6665, 32, 2174, 1157, 284, 813, 44, 291, 2125, 32, 2714, 26, 2386, 32, 46309, 30, 18545, 1057, 46309, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 2, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 5, 3, 2, 2, 4, 4, 4, 4, 8, 9, 8, 10, 9, 10, 8, 8, 9, 11, 11, 11, 11, 11, 8, 8, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 15, 14, 15, 13, 14, 14, 13, 14, 13, 14, 12, 13, 11, 8, 8, 9, 9, 8, 8, 8, 9, 9, 12, 13, 11, 12, 11, 4, 4, 5, 5, 5, 9, 10, 9, 11, 10, 11, 9, 9, 10, 12, 12, 12, 12, 12, 12, 9, 9, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 16, 15, 16, 14, 15, 15, 14, 15, 14, 15, 13, 14, 12, 9, 9, 10, 10, 9, 9, 9, 10, 10, 13, 14, 12, 13, 12, 0, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 3, 0, 2, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 2, 2, 6, 7, 6, 8, 7, 8, 6, 6, 7, 9, 9, 9, 6, 6, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 12, 11, 12, 10, 11, 9, 12, 11, 12, 10, 11, 9, 6, 6, 7, 7, 8, 9, 6, 6, 6, 7, 7, 10, 11, 9, 10, 9, 0, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 5, 3, 0, 2, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 5, 3, 2, 2, 4, 4, 4, 4, 8, 9, 8, 10, 9, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 15, 14, 15, 13, 14, 14, 13, 14, 13, 14, 12, 13, 13, 13, 11, 8, 8, 9, 9, 8, 8, 8, 9, 9, 12, 13, 11, 12, 11, 4, 4, 5, 5, 5, 9, 10, 9, 11, 10, 11, 9, 9, 10, 12, 12 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 4, 1, 6, 2, 2, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 8, 8, 1, 2, 8, 8, 8, 8, 0, 0, 0, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 3, 2, 2, 1, 1, 7, 7, 1, 1, 1, 9, 9, 0, 2, 0, 2, 1, 0, 0, 4, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 3, 2, 2, 1, 1, 7, 7, 1, 1, 1, 9, 9, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 3, 2, 2, 1, 1, 7, 7, 2, 2, 1, 1, 1, 9, 9, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 3, 2, 2, 2, 2, 1, 1, 7, 7, 1, 1, 1, 9, 9, 0, 2, 0, 2, 1, 0, 0, 4, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1 ]
[ 465, 3995, 203, 465, 13092, 203, 1070, 9608, 1188, 31705, 203, 1070, 2379, 5175, 5401, 81, 11218, 1188, 319, 203, 3855, 32, 7389, 440, 5694, 83, 31, 2958, 657, 203, 589, 894, 81, 3258, 661, 81, 26552, 307, 2262, 284, 7683, 297, 280, 31705, 26, 426, 1057, 29051, 683, 284, 310, 4184, 280, 19800, 661, 30886, 307, 1475, 23588, 26, 29051, 30, 20778, 47, 2700, 27, 284, 1201, 310, 4184, 2009, 39, 30, 225, 37, 30, 225, 35, 30, 225, 34, 32, 35, 1130, 610, 330, 11959, 2496, 25, 284, 1201, 310, 4184, 2009, 40, 30, 225, 37, 30, 225, 38, 30, 225, 35, 32, 35, 1130, 610, 330, 5232, 18658, 271, 25, 284, 1201, 310, 4184, 2009, 41, 32, 41, 30, 225, 37, 30, 225, 40, 30, 225, 36, 1130, 610, 330, 1848, 1523, 5285, 25, 284, 310, 3590, 280, 19800, 661, 30886, 307, 1475, 23588, 26, 29051, 30, 20778, 47, 1815, 27, 284, 1201, 310, 3590, 2009, 39, 30, 225, 37, 30, 225, 35, 30, 225, 34, 32, 35, 1130, 610, 330, 11959, 2496, 25, 284, 1201, 310, 3590, 2009, 40, 30, 225, 39, 30, 225, 37, 30, 225, 35, 32, 39, 1130, 610, 330, 5232, 18658, 271, 25, 284, 1201, 310, 3590, 2009, 41, 30, 225, 37, 30, 225, 40, 32, 39, 30, 225, 36, 1130, 610, 330, 1848, 1523, 5285, 25, 284, 706, 35, 280, 330, 83, 25, 319, 225, 39, 34, 474, 330, 84, 25, 319, 225, 37, 34, 474, 330, 85, 25, 319, 225, 35, 39, 284, 1673, 35, 280, 9618, 299, 9944, 4496, 26, 605, 35, 27, 284, 706, 36, 280, 330, 83, 25, 319, 225, 37, 34, 474, 330, 84, 25, 319, 225, 38, 39, 474, 330, 85, 25, 319, 225, 36, 34, 284, 1673, 36, 280, 9618, 299, 9944, 4496, 26, 605, 36, 27, 284, 706, 37, 280, 330, 83, 25, 319, 225, 36, 34, 474, 330, 84, 25, 319, 225, 36, 34, 474, 330, 85, 25, 319, 225, 37, 39, 284, 1673, 37, 280, 9618, 299, 9944, 4496, 26, 605, 37, 27, 284, 1673, 280, 301, 463, 3472, 370, 225, 34, 32, 39, 711, 1673, 35, 30, 2726, 5064, 370, 225, 34, 32, 37, 711, 1673, 36, 30, 2726, 24165, 370, 225, 34, 32, 36, 711, 1673, 37, 111, 284, 310, 3883, 280, 19800, 661, 30886, 307, 1475, 23588, 26, 2452, 30, 4281, 47, 1815, 27, 284, 1201, 310, 3883, 463, 28930, 683, 610, 330, 3472, 25, 284, 1201, 310, 3883, 4901, 84, 370, 330, 84, 3490, 610, 330, 5064, 25, 284, 1201, 310, 3883, 463, 26237, 1152, 683, 610, 330, 24165, 25, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 13092, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 8, 7, 9, 9, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 8, 6, 2, 2, 3, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 8, 7, 4, 4, 6, 6, 6, 2, 2, 3, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 8, 7, 4, 4, 6, 6, 6, 6, 2, 2, 3, 6, 6, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 8, 6, 2, 2, 3, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 8, 7, 4, 4, 6, 6, 6, 2, 2, 3, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 8, 7, 4, 4, 6, 6, 6, 6, 2, 2, 3, 6, 6, 8, 7, 7, 8, 7, 7, 8, 8, 8, 7, 7, 8, 7, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 9, 9, 7, 7, 8, 8, 6, 6, 9, 9, 7, 7, 8, 8, 5, 5, 8, 8, 6, 6, 7, 7, 2, 2, 5, 4, 4, 6, 6, 6, 6, 7, 7, 6, 2, 2, 5, 4, 4, 9, 9, 7, 7, 8, 8, 6, 6, 9, 9, 7, 7, 8, 8, 5, 5, 8, 8, 6, 6, 7, 7, 2, 2, 5, 4, 4, 6, 6, 6, 6, 7, 7, 6, 2, 2, 5, 4, 4, 9, 9, 7, 7, 8, 8, 6, 6, 9, 9, 7, 7, 8, 8, 5, 5, 8, 8, 6, 6, 7, 7, 2, 2, 5, 4, 4, 6, 6, 6, 6, 7, 7, 6, 2, 2, 4, 4, 7, 9, 9, 7, 8, 8, 8, 7, 6, 7, 5, 5, 9, 9, 7, 8, 8, 8, 7, 6, 7, 5, 5, 9, 9, 7, 8, 8, 8, 7, 6, 7, 5, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 8, 6, 2, 2, 3, 6, 6, 8, 8, 4, 4, 6, 6, 2, 2, 3, 6, 6, 9, 9, 7, 9, 9, 4, 4, 6, 6, 2, 2, 3, 6, 6, 8, 8, 8, 4, 4, 6, 6, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 7, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 7, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 6, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 7, 1, 1, 1, 1, 1, 2, 4, 4, 7, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 7, 1, 1, 1, 1, 1, 1, 2, 4, 4, 8, 0, 1, 1, 1, 1, 3, 1, 1, 5, 5, 5, 1, 1, 7, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 2, 0, 3, 3, 3, 0, 1, 2, 2, 2, 1, 2, 0, 3, 3, 3, 0, 3, 2, 2, 2, 1, 2, 0, 3, 3, 3, 0, 5, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 17, 0, 1, 1, 2, 1, 1, 1, 2, 4, 4, 18, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 4, 4, 19, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]