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
[ 100, 2993, 203, 497, 5967, 403, 1348, 1542, 461, 458, 1542, 3048, 884, 1531, 6119, 2412, 1802, 34398, 19565, 810, 358, 302, 1074, 4250, 32, 1670, 844, 1849, 372, 793, 458, 1542, 30, 1802, 4322, 4096, 3049, 50, 26491, 1071, 32, 1088, 436, 322, 6615, 18734, 32, 319, 1318, 1802, 358, 302, 1074, 36646, 32, 33841, 225, 36, 34, 35, 42, 3424, 203, 3373, 203, 6056, 203, 11558, 1196, 322, 26703, 299, 645, 312, 1115, 1161, 31, 29560, 37624, 46411, 326, 623, 203, 568, 40438, 738, 464, 482, 1673, 36869, 32, 947, 33548, 8943, 839, 993, 884, 11870, 372, 526, 203, 941, 1843, 30119, 30, 461, 322, 1334, 432, 322, 880, 40438, 23248, 438, 9233, 14825, 7622, 32, 203, 926, 40438, 738, 464, 482, 1673, 36869, 438, 20968, 372, 526, 438, 366, 42259, 461, 5341, 1191, 810, 203, 83, 29354, 7433, 32, 203, 1318, 26703, 299, 29135, 398, 59, 26, 99, 9501, 438, 16453, 619, 203, 497, 7744, 403, 284, 439, 26, 99, 27, 280, 766, 8681, 4080, 878, 109, 3804, 1540, 109, 72, 81, 98, 111, 676, 20145, 878, 109, 94, 23353, 111, 447, 26, 99, 27, 2523, 26, 99, 27, 203, 2767, 319, 3804, 28, 438, 322, 6864, 18795, 432, 309, 833, 22374, 30, 398, 72, 81, 98, 22, 438, 322, 6864, 432, 203, 1382, 7458, 19557, 30, 398, 72, 20145, 878, 109, 94, 23353, 10598, 438, 312, 6864, 25683, 436, 322, 5564, 23248, 203, 5999, 30, 398, 66, 26, 99, 9501, 438, 322, 2234, 10365, 432, 322, 28059, 308, 20030, 471, 461, 398, 76, 26, 99, 9501, 203, 297, 322, 880, 40438, 738, 464, 482, 5193, 10365, 436, 312, 8851, 31, 29560, 37624, 5193, 32, 203, 38590, 308, 35, 27, 432, 322, 225, 35, 43, 43, 34, 4121, 78, 10626, 63, 1966, 103, 1253, 83, 35, 43, 43, 34, 21258, 438, 1654, 372, 9169, 203, 22, 76, 26, 99, 9501, 30, 1471, 35116, 308, 36, 37, 37263, 36, 39, 27, 645, 322, 225, 35, 43, 42, 41, 12517, 78, 10626, 63, 1966, 103, 1253, 83, 35, 43, 42, 41, 21258, 436, 203, 22, 76, 35, 15497, 398, 76, 36, 15497, 461, 398, 76, 37, 7472, 203, 1318, 46411, 25683, 308, 1382, 48361, 6864, 432, 322, 46411, 27, 436, 312, 203, 1161, 31, 29560, 37624, 5193, 432, 22401, 432, 10423, 398, 68, 22, 461, 24560, 203, 22412, 43751, 398, 54, 22, 438, 203, 497, 7744, 403, 664, 676, 20145, 878, 109, 94, 23353, 111, 280, 766, 8681, 109, 35, 40, 78, 1295, 3451, 37, 4104, 8681, 109, 68, 80, 37, 11984, 1873, 26, 54, 78, 8663, 109, 36, 4104, 990, 20963, 37, 111, 203, 1318, 1673, 36869, 10365, 308, 658, 6216, 33809, 27, 432, 322, 880, 40438, 23248, 438, 203, 29529, 328, 322, 17686, 432, 398, 76, 26, 99, 9501, 203, 497, 7744, 403, 284, 766, 9189, 312, 280, 485, 54, 203, 2767, 398, 89, 22, 438, 312, 18795, 279, 1673, 36869, 4122, 544, 322, 24560, 18547, 7291, 32, 203, 497, 10986, 403, 4791, 33, 27594, 81, 10119, 32, 3072, 284, 13667, 31, 29560, 37624, 46411, 32, 203, 1562, 312 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 6109, 81, 2846, 1188, 2287, 203, 1070, 6109, 81, 2846, 32, 858, 1188, 14789, 38438, 2732, 203, 823, 5710, 8161, 1006, 26, 1893, 38438, 2732, 711, 284, 37743, 280, 2107, 3707, 32, 1260, 370, 330, 2292, 81, 605, 32, 1260, 785, 284, 665, 894, 81, 1347, 4846, 2034, 81, 11592, 101, 26, 784, 711, 291, 1984, 280, 10156, 463, 2292, 31, 5110, 370, 10306, 1279, 324, 330, 7794, 950, 330, 2292, 31, 1793, 31, 3672, 31, 605, 25, 291, 1790, 291, 736, 280, 630, 32, 1580, 32, 371, 26, 965, 27, 291, 630, 32, 5299, 26, 575, 32, 1517, 81, 687, 30, 2287, 32, 5068, 81, 38, 34, 35, 81, 1413, 30746, 1345, 27, 284, 665, 894, 81, 4846, 2034, 81, 302, 81, 496, 81, 7494, 101, 26, 784, 711, 291, 1984, 280, 10156, 463, 2292, 31, 5110, 370, 10306, 1279, 324, 330, 7794, 950, 330, 2292, 31, 1793, 31, 3672, 31, 605, 25, 291, 1790, 291, 630, 32, 1580, 32, 3615, 26, 699, 1057, 858, 81, 496, 370, 3882, 1057, 2895, 35, 683, 291, 736, 280, 630, 32, 1580, 32, 371, 26, 965, 27, 291, 630, 32, 5299, 26, 575, 32, 1517, 81, 687, 30, 2287, 32, 5068, 81, 36, 34, 34, 81, 2950, 27, 284, 665, 894, 81, 4846, 2034, 81, 302, 81, 15989, 81, 7494, 101, 26, 784, 711, 291, 1984, 280, 10156, 463, 2292, 31, 5110, 370, 10306, 1279, 324, 330, 7794, 950, 330, 2292, 31, 1793, 31, 3672, 31, 605, 25, 291, 1790, 291, 630, 32, 1580, 32, 3615, 26, 699, 1057, 858, 81, 15989, 370, 3882, 1057, 2895, 35, 683, 291, 736, 280, 630, 32, 1580, 32, 371, 26, 965, 27, 291, 630, 32, 5299, 26, 575, 32, 1517, 81, 687, 30, 2287, 32, 5068, 81, 36, 34, 34, 81, 2950, 27, 284, 665, 894, 81, 4846, 2034, 81, 302, 81, 2300, 81, 7494, 101, 26, 784, 711, 291, 1984, 280, 10156, 463, 2292, 31, 5110, 370, 10306, 1279, 324, 330, 7794, 950, 330, 2292, 31, 1793, 31, 3672, 31, 605, 25, 291, 1790, 291, 630, 32, 1580, 32, 3615, 26, 699, 1057, 858, 81, 2300, 370, 3882, 1057, 2895, 35, 683, 291, 736, 280, 630, 32, 1580, 32, 371, 26, 965, 27, 291, 630, 32, 5299, 26, 575, 32, 1517, 81, 687, 30, 2287, 32, 5068, 81, 36, 34, 34, 81, 2950, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 8, 9, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 8, 9, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 4, 4, 8, 9, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 8, 9, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 4, 4, 8, 9, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 8, 9, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 4, 4, 8, 9, 7, 8, 7, 9, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 21, 203, 1482, 203, 21, 203, 20266, 1482, 203, 21, 203, 433, 203, 21, 203, 2206, 21, 203, 21, 203, 433, 203, 21, 203, 1277, 8648, 203, 21, 203, 14279, 203, 21, 203, 1070, 20211, 32, 3378, 1188, 36257, 203, 1070, 20211, 32, 8216, 1188, 30843, 203, 1070, 20211, 32, 2304, 1188, 372, 81, 30199, 203, 465, 13134, 32, 15183, 203, 465, 7138, 203, 465, 12500, 32, 17449, 619, 5743, 203, 465, 6436, 619, 2065, 203, 3239, 81, 1356, 33638, 280, 2430, 1199, 2548, 33, 15852, 45128, 31, 15183, 33, 34513, 31, 17980, 33, 605, 31, 34, 34, 35, 33, 34513, 31, 17980, 31, 3239, 32, 2760, 20, 203, 858, 81, 1356, 33638, 280, 2430, 1199, 2548, 33, 15852, 45128, 31, 15183, 33, 34513, 31, 17980, 33, 605, 31, 34, 34, 35, 33, 34513, 31, 17980, 31, 858, 32, 2760, 20, 203, 74, 81, 3239, 30, 533, 81, 3239, 280, 13134, 32, 15183, 32, 944, 81, 2269, 696, 694, 81, 761, 26, 3239, 81, 1356, 33638, 30, 310, 81, 5905, 47, 41, 42, 38, 27, 203, 74, 81, 3239, 280, 1593, 81, 3239, 32, 452, 955, 346, 203, 74, 81, 858, 30, 533, 81, 858, 280, 13134, 32, 15183, 32, 944, 81, 2269, 696, 694, 81, 761, 26, 858, 81, 1356, 33638, 30, 310, 81, 5905, 47, 41, 42, 38, 27, 203, 74, 81, 858, 280, 1593, 81, 858, 32, 452, 955, 346, 203, 1160, 280, 36257, 346, 203, 1160, 32, 669, 26, 20738, 26, 36, 34, 30, 1509, 81, 3534, 47, 41, 42, 38, 30, 5801, 81, 19321, 1057, 4382, 370, 13226, 1057, 15159, 2847, 203, 1160, 32, 669, 26, 20738, 26, 35, 39, 30, 5801, 81, 19321, 1057, 4382, 370, 13226, 1057, 15159, 2847, 203, 1160, 32, 669, 26, 20738, 26, 35, 34, 30, 5801, 81, 19321, 1057, 4382, 370, 13226, 1057, 28560, 2847, 203, 1160, 32, 6993, 26, 5410, 1057, 30199, 81, 10495, 20933, 370, 16302, 1057, 28619, 370, 8607, 11414, 30199, 81, 15924, 3490, 203, 30199, 81, 5919, 280, 372, 81, 30199, 26, 107, 81, 3239, 30, 1929, 81, 4820, 47, 35, 34, 27, 203, 1366, 280, 7138, 32, 6665, 32, 16003, 346, 203, 6446, 280, 1542, 32, 4698, 26, 74, 81, 3239, 30, 38845, 81, 5919, 30, 22530, 47, 38, 34, 30, 5254, 81, 891, 47, 35, 34, 34, 30, 6850, 81, 2998, 47, 34, 32, 35, 30, 9541, 47, 36, 27, 203, 13806, 280, 1542, 32, 13697, 26, 74, 81, 858, 30, 372, 81, 30199, 26, 107, 81, 858, 30, 1929, 81, 4820, 47, 35, 34, 490, 203, 1216, 203, 979, 595, 328, 2155, 26, 1657, 26, 1160, 32, 7982, 81, 4243, 8531, 203, 202, 1216, 4912, 101, 44, 904, 88, 20, 904, 308, 1160, 32, 7982, 81, 4243, 77, 91, 614, 15932, 77, 91, 5259, 203, 1216, 2884, 2130, 44, 313, 474, 596, 26, 1366, 490, 203, 416, 280, 7138, 32, 6665, 32, 16003, 346, 203, 1216, 2884, 2102, 44, 313, 474, 596, 26, 416, 490, 203, 1216, 2884, 55, 13780, 44, 313, 474, 596, 26, 416, 31, 1366, 490, 203, 21, 203, 2206, 8648 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 3, 3, 4, 4, 2, 2, 5, 6, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 4, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 4, 0, 4, 4, 4, 3, 3, 4, 4, 2, 2, 5, 6, 4, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 4, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 4, 0, 3, 2, 2, 4, 0, 4, 3, 4, 3, 5, 5, 6, 6, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 7, 7, 6, 8, 8, 5, 6, 8, 8, 0, 4, 3, 4, 3, 5, 5, 6, 6, 5, 5, 7, 7, 6, 8, 8, 5, 6, 8, 8, 0, 4, 3, 4, 3, 5, 5, 6, 6, 5, 5, 7, 7, 6, 8, 8, 5, 6, 8, 8, 0, 4, 3, 4, 3, 5, 4, 6, 6, 6, 6, 6, 3, 4, 6, 6, 3, 4, 7, 7, 7, 7, 0, 3, 3, 3, 2, 2, 4, 4, 4, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 4, 0, 3, 2, 2, 5, 6, 4, 5, 4, 0, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 6, 6, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 5, 6, 4, 0, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 6, 8, 8, 7, 8, 8, 6, 0, 2, 0, 1, 1, 1, 1, 3, 5, 5, 7, 6, 7, 7, 7, 5, 1, 1, 5, 5, 8, 8, 8, 8, 8, 6, 6, 10, 9, 10, 10, 10, 8, 9, 8, 7, 8, 9, 8, 0, 3, 2, 6, 6, 6, 4, 4, 6, 7, 6, 0, 3, 2, 2, 5, 6, 4, 5, 4, 0, 3, 2, 6, 6, 6, 4, 4, 6, 7, 6, 0, 3, 2, 6, 6, 6, 6, 4, 4, 6, 8, 7, 8, 6, 0, 1, 0, 1, 1 ]
[ 0, 0, 1, 0, 2, 0, 3, 3, 0, 4, 0, 5, 0, 6, 0, 7, 7, 0, 8, 0, 9, 0, 10, 0, 11, 11, 0, 12, 0, 13, 0, 14, 0, 15, 15, 1, 2, 15, 15, 0, 16, 16, 1, 2, 16, 16, 0, 17, 17, 1, 2, 17, 17, 0, 0, 0, 18, 18, 1, 2, 0, 19, 19, 0, 20, 20, 0, 2, 1, 1, 0, 21, 21, 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, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 1, 2, 1, 7, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 3, 1, 2, 1, 5, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 3, 1, 2, 1, 5, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 5, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 2, 2, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 11, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 0, 0, 0, 38, 38, 38, 38, 1, 0, 1, 0, 1, 2, 2, 2, 1, 38, 38, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 3, 2, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 43, 0, 44, 44 ]
[ 465, 1133, 203, 465, 5167, 203, 1070, 10712, 775, 81, 24454, 32, 2846, 32, 2912, 81, 4313, 1188, 7892, 203, 1070, 10712, 775, 81, 24454, 32, 2846, 32, 1040, 1188, 39672, 9784, 265, 203, 1070, 10712, 775, 81, 24454, 32, 858, 81, 11192, 4137, 32, 858, 81, 27336, 101, 32, 1251, 3376, 282, 81, 858, 1188, 308, 284, 3927, 3113, 1212, 2905, 282, 35506, 27, 203, 823, 3927, 3113, 4741, 292, 279, 1212, 2905, 282, 1006, 26, 2961, 3113, 1212, 2905, 282, 35506, 711, 284, 9832, 1675, 726, 81, 9779, 81, 26851, 280, 301, 291, 330, 2837, 292, 23959, 81, 1363, 950, 301, 324, 330, 7910, 950, 2107, 10414, 81, 2035, 2188, 324, 330, 16669, 950, 301, 400, 330, 6656, 81, 2837, 292, 279, 81, 6038, 950, 301, 528, 330, 681, 950, 330, 3209, 1147, 32, 16669, 32, 2516, 32, 2035, 81, 11879, 370, 528, 330, 4642, 950, 301, 715, 330, 2122, 950, 2107, 6281, 32, 2999, 32, 2946, 785, 528, 801, 528, 330, 34783, 950, 301, 715, 330, 2837, 81, 292, 279, 81, 7489, 950, 301, 1014, 330, 681, 950, 1378, 330, 3209, 1147, 32, 16669, 32, 34783, 32, 4526, 81, 9874, 370, 1014, 330, 5138, 950, 301, 1378, 330, 9874, 950, 330, 292, 279, 370, 1378, 330, 9874, 81, 5138, 950, 301, 1891, 330, 1251, 81, 2386, 81, 314, 950, 301, 2476, 330, 371, 81, 2433, 950, 2107, 28844, 370, 330, 1251, 81, 314, 785, 1891, 801, 1891, 330, 13006, 33313, 81, 853, 950, 301, 2476, 330, 371, 81, 2433, 950, 2107, 28844, 370, 330, 13006, 33313, 785, 1891, 801, 1378, 320, 1014, 320, 715, 320, 528, 320, 400, 320, 324, 320, 291, 320, 284, 320, 284, 665, 617, 858, 81, 1251, 3376, 282, 81, 3106, 26, 784, 30, 47051, 81, 761, 711, 291, 630, 32, 6426, 81, 1515, 280, 7892, 26, 784, 32, 6426, 81, 965, 30, 630, 32, 42603, 27, 291, 630, 32, 27336, 81, 6045, 280, 630, 32, 6426, 81, 1515, 517, 47051, 81, 761, 291, 630, 32, 15193, 81, 27336, 346, 291, 2670, 81, 3789, 30, 2685, 81, 3789, 280, 630, 32, 4462, 81, 6285, 81, 363, 81, 4526, 81, 3789, 26, 324, 7806, 47, 784, 32, 371, 81, 8075, 346, 291, 829, 291, 630, 32, 1526, 81, 3789, 81, 33290, 26, 5553, 81, 3789, 30, 2685, 81, 3789, 27, 291, 630, 32, 14046, 81, 10414, 81, 3149, 346, 291, 630, 32, 862, 81, 1251, 3376, 282, 81, 1746, 26, 784, 32, 923, 81, 639, 27, 291, 630, 32, 1684, 81, 979, 81, 2837, 292, 279, 26, 5483, 81, 3789, 27, 291, 2685, 81, 2837, 292, 279, 280, 630, 32, 371, 81, 4018, 81, 1293, 346, 291, 630, 32, 1526, 81, 2837, 292, 279, 81, 33290, 26, 5483, 81, 3789, 30, 2685, 81, 2837, 292, 279, 27, 291, 630, 32, 4526, 81, 41758, 346, 291, 630, 32, 1526, 81, 41758, 81, 33290, 346, 284, 665, 17487, 81, 10414, 81, 3149, 26, 784, 30, 5868, 47, 35, 34, 711, 291, 943, 280, 1133, 32, 1003, 346, 474, 5868, 291, 34856, 81, 4627, 30, 4950, 617, 280, 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, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 11, 11, 11, 11, 7, 7, 10, 10, 8, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 14, 14, 12, 13, 13, 16, 16, 14, 17, 17, 17, 17, 17, 17, 13, 13, 11, 11, 14, 14, 12, 13, 13, 16, 16, 16, 16, 16, 16, 16, 14, 15, 15, 18, 18, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 15, 15, 18, 18, 16, 17, 17, 20, 20, 18, 20, 20, 20, 17, 17, 20, 20, 20, 20, 18, 19, 19, 22, 22, 22, 22, 22, 22, 20, 21, 21, 24, 24, 24, 24, 22, 25, 25, 23, 25, 25, 25, 25, 21, 21, 19, 19, 22, 22, 22, 22, 22, 20, 21, 21, 24, 24, 24, 24, 22, 25, 25, 23, 25, 25, 25, 21, 21, 19, 19, 17, 17, 15, 15, 13, 13, 11, 11, 9, 9, 7, 7, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 7, 7, 8, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 8, 8, 7, 7, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 12, 11, 12, 12, 12, 11, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 6, 4, 3, 3, 6, 6, 9, 10, 9, 7, 7, 4, 4, 8, 8, 7, 7, 7, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 4, 4, 1, 6, 6, 6, 6, 6, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 3619, 102, 20690, 36, 85, 32, 633, 32, 7003, 11081, 2989, 1251, 1188, 13312, 17540, 7145, 1212, 203, 1070, 3619, 102, 20690, 36, 85, 32, 2516, 32, 4032, 89, 43981, 1188, 4401, 620, 203, 823, 4239, 7145, 1212, 26, 6954, 17540, 7145, 1212, 711, 284, 3330, 665, 1156, 1664, 3207, 784, 30, 2841, 30, 2091, 711, 291, 1524, 275, 308, 2185, 7145, 1212, 30, 630, 14585, 1664, 3207, 1873, 30, 2091, 27, 284, 665, 4450, 81, 687, 26, 784, 30, 9750, 711, 291, 1524, 291, 7187, 332, 81, 687, 26, 7101, 27, 291, 1056, 81, 869, 280, 9750, 32, 1234, 81, 1696, 26, 3061, 620, 922, 687, 81, 681, 27, 291, 630, 32, 1873, 32, 5536, 81, 687, 26, 7101, 27, 291, 9750, 32, 669, 81, 9849, 463, 325, 1429, 109, 1873, 1748, 3335, 2473, 1643, 26, 1873, 47, 784, 32, 1873, 32, 687, 81, 426, 490, 291, 9750, 32, 669, 81, 9849, 28302, 1267, 111, 280, 225, 34, 45, 2038, 2473, 1643, 26, 1267, 47, 1267, 81, 869, 490, 291, 9750, 32, 669, 81, 9849, 463, 1824, 301, 683, 291, 630, 32, 990, 32, 5536, 81, 687, 26, 7101, 27, 291, 9750, 32, 669, 81, 9849, 463, 325, 5989, 990, 1748, 3335, 2473, 1643, 26, 990, 47, 784, 32, 990, 32, 687, 81, 426, 490, 291, 9750, 32, 669, 81, 9849, 28302, 1267, 111, 280, 225, 35, 45, 2038, 2473, 1643, 26, 1267, 47, 1267, 81, 869, 490, 291, 9750, 32, 669, 81, 9849, 463, 1824, 301, 683, 291, 9750, 32, 669, 81, 9849, 28302, 1267, 111, 280, 225, 34, 45, 2038, 2473, 1643, 26, 1267, 47, 1267, 81, 869, 490, 291, 9750, 32, 669, 81, 9849, 463, 15837, 291, 630, 1114, 687, 81, 426, 280, 1056, 81, 869, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 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, 4, 4, 7, 7, 7, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 11, 11, 11, 10, 10, 10, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 10, 13, 12, 13, 11, 12, 12, 12, 9, 4, 4, 7, 8, 8, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 10, 11, 11, 11, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 11, 11, 11, 11, 11, 11, 10, 9, 11, 10, 13, 12, 13, 11, 12, 12, 12, 9, 4, 4, 7, 8, 8, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 10, 11, 11, 11, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 10, 11, 11, 11, 9, 4, 4, 7, 8, 8, 8, 7, 9, 4, 4, 7, 8, 8, 8, 6, 6, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 5741, 203, 505, 464, 505, 280, 2107, 4073, 785, 203, 1270, 44, 284, 645, 1963, 4478, 1188, 3219, 30, 16743, 30, 11647, 284, 3219, 26, 33420, 470, 47, 2700, 27, 284, 9612, 280, 301, 291, 330, 7127, 25, 261, 499, 16743, 32, 23964, 30, 291, 330, 3371, 25, 264, 499, 16743, 32, 7097, 30, 291, 330, 104, 7127, 25, 225, 499, 16743, 32, 23964, 474, 11647, 32, 4758, 4006, 30, 291, 330, 104, 3371, 25, 261, 499, 16743, 32, 7097, 474, 11647, 32, 4758, 4006, 30, 291, 330, 1530, 25, 264, 499, 2550, 4456, 330, 8447, 25, 261, 499, 16743, 32, 38041, 474, 11647, 32, 4758, 4006, 30, 291, 330, 4534, 25, 225, 499, 11647, 32, 13876, 81, 2320, 30, 284, 320, 203, 7343, 29986, 44, 284, 9612, 280, 301, 291, 330, 7127, 25, 261, 499, 2550, 291, 330, 3371, 25, 264, 499, 2550, 291, 330, 104, 7127, 25, 225, 499, 2550, 291, 330, 104, 3371, 25, 261, 499, 2550, 291, 330, 1530, 25, 264, 499, 2550, 291, 330, 8447, 25, 261, 499, 2550, 291, 330, 4534, 25, 225, 499, 2550, 284, 320, 203, 589, 622, 81, 4466, 81, 1644, 2262, 284, 415, 2322, 32, 426, 610, 330, 566, 950, 291, 10974, 81, 10840, 81, 12825, 225, 280, 429, 35, 34, 291, 10974, 81, 10843, 81, 12825, 280, 429, 35, 35, 291, 10974, 81, 2930, 81, 12825, 225, 280, 429, 35, 36, 291, 645, 26015, 1188, 23105, 611, 30, 19247, 30, 810, 612, 291, 1596, 44, 324, 645, 26015, 32, 105, 410, 1690, 1188, 5312, 2426, 30, 23795, 30, 10835, 291, 2940, 29986, 44, 324, 645, 26015, 1188, 308, 400, 281, 81, 4021, 619, 5312, 2426, 30, 281, 81, 17470, 619, 23795, 30, 281, 81, 15473, 619, 10835, 27, 291, 2549, 81, 2956, 280, 23105, 611, 32, 6474, 37, 36, 32, 936, 10686, 3297, 26, 14172, 81, 10843, 81, 12825, 27, 291, 443, 3366, 3068, 26, 8634, 711, 324, 617, 4151, 81, 280, 428, 440, 74, 392, 5312, 2426, 471, 2884, 75, 392, 5312, 2426, 2177, 291, 443, 26206, 81, 6258, 26, 8634, 711, 324, 617, 4151, 81, 280, 428, 440, 3679, 392, 5312, 2426, 471, 2884, 3155, 392, 5312, 2426, 471, 715, 2884, 4046, 392, 5312, 2426, 471, 2884, 7881, 392, 5312, 2426, 2177, 291, 443, 2198, 36517, 81, 19914, 81, 8451, 81, 1589, 26, 8634, 711, 324, 617, 4151, 81, 280, 428, 440, 7955, 1250, 392, 3366, 3068, 471, 715, 2884, 7955, 7417, 2731, 392, 3366, 3068, 471, 715, 2884, 105, 5086, 392, 23795, 471, 715, 2884, 6858, 1669, 392, 26206, 81, 6258, 471, 715, 2884, 7955, 12726, 1669, 1250, 392, 10835, 2177, 291, 6115, 91, 280, 2198, 36517, 81, 19914, 81, 8451, 81, 1589, 346, 291, 2152, 280, 23105, 611, 32, 6474, 37, 36, 32, 936, 7633, 4615, 2013, 1120, 26, 4466, 81, 2956, 30, 810, 612, 26, 5682, 91, 490, 291, 415, 2152, 610, 225, 34, 44, 324, 442, 225, 34, 291, 442, 6115, 91, 32, 6858, 1669, 32, 4046, 29, 35, 284, 4348, 2322, 32, 426, 610, 330, 28950, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 5, 5, 0, 1, 1, 1, 1, 3, 5, 3, 3, 3, 3, 3, 3, 2, 2, 5, 7, 7, 6, 7, 5, 2, 2, 4, 4, 5, 5, 8, 8, 6, 6, 6, 7, 8, 5, 5, 5, 8, 8, 6, 6, 6, 7, 8, 5, 5, 5, 8, 8, 8, 6, 6, 6, 8, 9, 7, 7, 8, 9, 9, 5, 5, 5, 8, 8, 8, 6, 6, 6, 8, 9, 7, 7, 8, 9, 9, 5, 5, 5, 8, 8, 6, 6, 6, 5, 5, 8, 8, 6, 6, 6, 8, 9, 7, 7, 8, 9, 9, 5, 5, 5, 8, 8, 6, 6, 6, 7, 8, 8, 8, 5, 5, 5, 1, 2, 2, 2, 2, 2, 5, 5, 6, 6, 9, 9, 7, 7, 7, 6, 6, 9, 9, 7, 7, 7, 6, 6, 9, 9, 9, 7, 7, 7, 6, 6, 9, 9, 9, 7, 7, 7, 6, 6, 9, 9, 7, 7, 7, 6, 6, 9, 9, 7, 7, 7, 6, 6, 9, 9, 7, 7, 7, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 5, 6, 4, 4, 6, 6, 3, 3, 7, 7, 7, 7, 6, 6, 6, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 6, 8, 8, 4, 4, 5, 5, 5, 7, 5, 5, 5, 5, 7, 4, 4, 5, 5, 5, 7, 8, 9, 9, 9, 7, 7, 9, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 11, 11, 9, 9, 10, 8, 8, 11, 11, 9, 9, 8, 8, 11, 11, 9, 9, 8, 4, 4, 7, 7, 6, 6, 10, 9, 10, 10, 10, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 6, 6, 7, 6, 5, 5, 9, 9, 8, 8, 10, 12, 12, 10, 11, 10, 9, 12, 12, 10, 11, 10, 4, 4, 5, 6, 6, 6, 7, 6, 5, 5, 9, 9, 8, 8, 10, 12, 12, 10, 11, 10, 9, 12, 12, 10, 11, 10, 9, 9, 12, 12, 10, 11, 10, 9, 12, 12, 10, 11, 10, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 9, 8, 8, 10, 12, 12, 12, 10, 11, 10, 9, 9, 12, 12, 12, 12, 10, 11, 10, 9, 9, 12, 12, 12, 10, 10, 9, 9, 12, 12, 12, 10, 11, 11, 10, 9, 9, 12, 12, 12, 12, 12, 10, 10, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 10, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 10, 10, 11, 11, 10, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 8, 4, 4, 5, 9, 8, 9, 9, 7, 8, 6, 7, 3, 3, 4, 6, 7, 5, 5, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 2, 5, 5, 5, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 7, 7, 7, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 9, 9, 9, 2, 2, 1, 2, 11, 11, 11, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 13, 13, 13, 2, 2, 2, 2, 2, 2, 2, 4, 3, 3, 3, 3, 3, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 5, 5, 5, 2, 2, 1, 1, 2, 7, 7, 7, 2, 2, 1, 2, 9, 9, 9, 2, 2, 1, 2, 11, 11, 11, 2, 2, 1, 2, 13, 13, 13, 2, 2, 0, 5, 5, 1, 1, 1, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 4, 4, 4, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 8, 8, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 6, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 2, 1, 2, 3, 3, 3, 3, 3, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 5, 3, 5, 2, 1, 2, 7, 3, 7, 3, 3, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 1, 2, 2, 1, 1, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 5, 5, 2, 2, 1, 1, 2, 7, 3, 3, 7, 2, 2, 1, 1, 1, 1, 2, 9, 9, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 11, 1, 1, 2, 11, 11, 11, 0, 1, 3, 3, 12, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 4, 0, 2, 1, 1, 1, 2 ]
[ 1070, 11685, 6022, 1188, 17161, 203, 1070, 13625, 5688, 1188, 33953, 203, 1070, 298, 1269, 404, 6797, 1188, 28495, 974, 203, 1070, 18414, 32, 5136, 5688, 1188, 9807, 619, 2197, 81, 7927, 30, 37666, 30, 33073, 10369, 297, 203, 1070, 18414, 32, 5136, 5688, 1188, 298, 1928, 1155, 100, 30, 309, 6094, 1588, 100, 30, 11220, 1582, 714, 203, 1070, 18414, 32, 15378, 32, 20973, 2033, 1188, 38382, 615, 203, 1070, 6436, 32, 20973, 423, 1188, 484, 1799, 203, 465, 6436, 619, 2065, 203, 1270, 44, 284, 645, 12500, 1188, 7631, 2778, 284, 645, 12500, 1188, 3619, 3399, 619, 5743, 284, 645, 12500, 32, 11514, 32, 7878, 81, 4682, 1188, 27177, 10770, 284, 645, 12500, 32, 8717, 1188, 13935, 7707, 318, 871, 28769, 203, 7343, 29986, 44, 284, 17161, 463, 24411, 646, 2431, 78, 96, 683, 203, 1070, 3619, 102, 339, 2400, 6022, 1188, 6778, 53, 81, 605, 203, 1070, 3619, 102, 339, 2400, 32, 2304, 32, 28943, 453, 637, 101, 264, 1188, 273, 339, 2400, 81, 25317, 30, 4705, 81, 3399, 203, 1070, 3619, 102, 339, 2400, 32, 2304, 32, 102, 339, 3812, 101, 647, 1188, 1289, 6158, 81, 751, 81, 4873, 619, 1289, 6158, 81, 751, 203, 1070, 3619, 102, 339, 2400, 32, 2304, 32, 102, 339, 3812, 101, 647, 1188, 2091, 81, 2627, 81, 21038, 619, 45537, 203, 1070, 3619, 102, 339, 2400, 32, 25882, 32, 90, 295, 81, 3922, 225, 1188, 2454, 81, 90, 295, 81, 605, 81, 1070, 81, 19659, 203, 1070, 3619, 102, 339, 2400, 32, 2304, 32, 28943, 453, 637, 101, 264, 1188, 310, 15947, 203, 1070, 3619, 102, 339, 2400, 32, 2304, 32, 761, 81, 26775, 1188, 13947, 203, 589, 420, 295, 81, 1110, 26, 605, 30, 12066, 47, 2521, 30, 17666, 47, 2700, 30, 35665, 47, 2521, 30, 324, 810, 81, 16129, 47, 2700, 30, 4131, 582, 47, 2521, 30, 2519, 47, 2700, 30, 7511, 401, 47, 2521, 30, 324, 9280, 47, 2521, 30, 281, 6782, 47, 2521, 30, 225, 1292, 85, 81, 4538, 95, 47, 2521, 30, 26685, 1057, 7200, 370, 17117, 47, 2700, 30, 32189, 47, 1815, 30, 324, 1292, 85, 47, 36, 34, 30, 636, 47, 2521, 30, 32189, 81, 15592, 47, 2521, 30, 1115, 5321, 711, 284, 415, 6937, 26, 605, 30, 596, 711, 291, 706, 280, 2454, 81, 90, 295, 81, 605, 81, 1070, 81, 19659, 26, 605, 30, 12066, 47, 15592, 30, 1115, 5321, 27, 291, 415, 646, 10306, 32, 371, 463, 371, 81, 15485, 370, 2933, 27, 461, 32189, 44, 324, 17161, 463, 10431, 44, 646, 32189, 646, 3304, 1412, 622, 81, 15485, 438, 2126, 11834, 324, 32189, 280, 3177, 284, 415, 281, 6782, 461, 1292, 85, 81, 4538, 95, 44, 291, 3636, 3268, 463, 2930, 44, 1755, 1591, 432, 281, 6782, 556, 1292, 85, 81, 4538, 95, 1395, 526, 739, 78, 96, 683, 284, 420, 295, 81, 605, 280, 706, 284, 12066, 280, 706, 32, 15592, 284, 415, 646, 32189, 81, 15592, 44, 291, 32189, 81, 15592, 280, 12066, 284, 415, 420, 295, 81, 605, 32, 3371, 101, 461, 646, 35665, 44, 291, 35665, 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, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 3, 3, 5, 2, 2, 3, 3, 3, 6, 4, 4, 2, 2, 3, 4, 5, 4, 5, 5, 5, 3, 3, 5, 2, 2, 3, 4, 5, 3, 3, 5, 5, 5, 5, 1, 2, 2, 2, 2, 2, 6, 8, 8, 8, 9, 9, 8, 0, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 1, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 1, 4, 4, 4, 4, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 2, 4, 3, 4, 2, 2, 3, 4, 2, 2, 4, 3, 4, 2, 2, 2, 3, 4, 2, 2, 4, 3, 4, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 2, 3, 5, 5, 2, 3, 4, 2, 2, 3, 4, 2, 2, 2, 4, 3, 4, 4, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 4, 2, 1, 1, 3, 5, 6, 5, 5, 5, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 9, 10, 8, 8, 10, 8, 4, 4, 5, 7, 9, 10, 9, 11, 11, 11, 11, 9, 9, 6, 6, 5, 5, 5, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 8, 8, 2, 2, 3, 5, 4, 4, 5, 5, 5, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 2, 2, 5, 5, 5, 4, 4, 2, 2, 4, 4, 5, 6, 2, 2, 3, 4, 5, 5, 3, 3, 3, 7, 7, 6, 6, 2, 2, 3, 6, 6, 6, 5, 6, 6, 4, 4, 5, 3, 3, 3, 6 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 6, 0, 0, 7, 7, 1, 1, 0, 8, 8, 8, 8, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 3, 3, 2, 2, 2, 1, 2, 1, 4, 4, 4, 2, 2, 0, 2, 2, 3, 1, 2, 3, 3, 0, 0, 0, 0, 8, 3, 3, 3, 3, 3, 1, 1, 1, 1, 0, 0, 2, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 10, 10, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 10, 10, 10, 0, 0, 0, 0, 10, 10, 0, 0, 0, 11, 11, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 11, 11, 11, 0, 0, 0, 0, 0, 3, 3, 2, 2, 2, 0, 12, 12, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 12, 12, 12, 0, 0, 0, 0, 3, 3, 0, 13, 13, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 13, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 14, 14, 14, 0, 0, 15, 15, 0, 0, 0, 1, 2, 1, 4, 4, 4, 15, 15, 0, 16, 16, 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, 11, 2, 2, 2, 13, 2, 2, 2, 0, 15, 2, 2, 2, 2, 17, 2, 2, 2, 0, 19, 2, 2, 2, 2, 0, 0, 0, 0, 21, 2, 2, 2, 23, 1, 2, 2, 25, 2, 2, 2, 27, 2, 2, 2, 2, 0, 29, 2, 2, 2, 2, 31, 2, 2, 2, 0, 0, 33, 2, 2, 2, 1, 2, 16, 16, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 2, 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, 3, 3, 0, 0, 4, 4, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 2, 4, 4, 4, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 4, 4, 5, 0, 0, 0, 0, 2, 2, 1, 1, 2, 5, 5, 5, 0 ]
[ 1070, 13625, 1188, 31466, 203, 1070, 6109, 81, 2846, 1188, 34281, 203, 1070, 638, 3378, 1188, 6287, 1097, 30, 6287, 69, 3075, 203, 1070, 638, 2304, 1188, 622, 81, 8438, 30, 372, 81, 668, 203, 823, 6287, 69, 3075, 1078, 10834, 7262, 26, 34243, 32, 7262, 711, 284, 6341, 280, 34281, 32, 30400, 346, 284, 1603, 280, 34281, 32, 7262, 1868, 1176, 346, 284, 665, 622, 81, 1293, 26, 784, 30, 2830, 711, 291, 442, 2830, 32, 1293, 461, 330, 71, 25, 556, 330, 54, 25, 203, 823, 38489, 7262, 13976, 26, 34243, 32, 7262, 711, 284, 309, 3075, 280, 34281, 32, 7262, 1868, 1176, 346, 284, 20317, 81, 3028, 280, 34281, 32, 7262, 1868, 1176, 346, 284, 443, 11985, 44, 291, 3829, 280, 2726, 33433, 370, 330, 20644, 81, 3028, 683, 284, 665, 622, 81, 33433, 26, 784, 30, 2869, 711, 291, 415, 646, 19326, 26, 784, 30, 330, 33433, 81, 1110, 81, 2613, 7831, 324, 630, 32, 33433, 81, 1110, 81, 2613, 280, 2149, 324, 1326, 280, 630, 32, 1819, 710, 1357, 785, 324, 3946, 280, 6287, 69, 3075, 32, 5740, 32, 2029, 26, 3473, 505, 266, 47, 452, 81, 668, 26, 784, 32, 2386, 490, 324, 3946, 280, 3946, 32, 2029, 26, 8438, 47, 371, 81, 8438, 26, 1357, 490, 324, 436, 1623, 328, 3946, 44, 400, 630, 32, 33433, 81, 1110, 81, 2613, 77, 1094, 32, 1473, 81, 314, 79, 280, 5436, 26, 528, 786, 47, 1094, 32, 853, 30, 528, 5119, 81, 853, 47, 1094, 32, 481, 18749, 81, 853, 30, 528, 7918, 47, 1094, 32, 8438, 400, 829, 291, 442, 630, 32, 33433, 81, 1110, 81, 2613, 32, 371, 26, 3142, 32, 314, 27, 284, 665, 622, 81, 20644, 81, 3028, 26, 784, 30, 2869, 711, 291, 415, 646, 19326, 26, 784, 30, 330, 20644, 81, 3028, 81, 1110, 7831, 324, 630, 32, 20644, 81, 3028, 81, 1110, 280, 2149, 324, 3946, 280, 6287, 1097, 32, 5740, 32, 2029, 26, 3473, 505, 266, 47, 452, 81, 668, 26, 784, 32, 2386, 490, 324, 630, 32, 20644, 81, 3028, 81, 1110, 280, 31466, 26, 2665, 27, 324, 436, 1623, 328, 3946, 44, 400, 630, 32, 20644, 81, 3028, 81, 1110, 77, 1094, 32, 1473, 81, 314, 1674, 1094, 32, 426, 79, 280, 1623, 32, 853, 291, 442, 630, 32, 20644, 81, 3028, 81, 1110, 32, 371, 26, 3142, 32, 314, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 7, 9, 9, 6, 6, 8, 8, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 3, 3, 3, 6, 6, 9, 9, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 6, 6, 8, 8, 10, 11, 9, 11, 11, 6, 6, 8, 8, 12, 12, 11, 12, 10, 11, 10, 12, 12, 12, 11, 13, 13, 13, 13, 15, 14, 15, 13, 6, 6, 8, 8, 10, 11, 10, 12, 11, 13, 13, 13, 13, 14, 13, 6, 6, 7, 7, 7, 7, 7, 7, 12, 13, 13, 13, 13, 13, 11, 13, 12, 13, 13, 13, 11, 10, 10, 12, 12, 12, 13, 15, 14, 15, 12, 12, 12, 14, 14, 13, 15, 14, 15, 15, 15, 15, 12, 12, 12, 13, 15, 14, 15, 12, 12, 4, 4, 5, 8, 9, 9, 9, 9, 9, 7, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 6, 6, 8, 8, 12, 11, 12, 10, 11, 10, 12, 12, 12, 11, 13, 13, 13, 13, 15, 14, 15, 13, 6, 6, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 6, 6, 7, 7, 7, 7, 7, 7, 13, 14, 14, 14, 14, 14, 12, 14, 13, 14, 14, 14, 12, 13, 12, 13, 11, 10, 10, 11, 12, 4, 4, 5, 8, 9, 9, 9, 9, 9, 7, 8, 7, 9, 8, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 3, 3, 4, 4, 4, 4, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 4, 4, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 4, 4, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 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, 281, 14686, 274, 203, 465, 2322, 203, 1070, 20927, 81, 11206, 32, 1617, 32, 2832, 81, 8774, 1188, 19567, 81, 5919, 203, 1070, 20927, 81, 11206, 32, 1617, 32, 2832, 81, 8774, 1188, 622, 81, 2998, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 32, 716, 1188, 2454, 1287, 203, 1070, 13134, 32, 1160, 81, 8319, 1188, 5683, 81, 858, 81, 2998, 203, 1070, 13134, 32, 32370, 1188, 9286, 9074, 282, 2265, 203, 1070, 13134, 32, 32370, 1188, 9276, 34719, 203, 465, 14785, 619, 5239, 203, 589, 622, 81, 34513, 26, 605, 81, 983, 30, 909, 81, 891, 47, 35, 34, 34, 34, 34, 711, 334, 10180, 280, 5239, 32, 12023, 32, 7741, 32, 15183, 32, 34513, 32, 850, 81, 605, 81, 2021, 26, 397, 706, 81, 983, 30, 1591, 81, 8079, 47, 2700, 30, 6850, 81, 891, 47, 695, 81, 891, 30, 9124, 47, 35, 27, 334, 442, 308, 3210, 32, 3239, 32, 2242, 30, 10180, 32, 3239, 32, 5919, 30, 10180, 32, 6460, 32, 2242, 30, 616, 10180, 32, 6460, 32, 5919, 27, 203, 589, 622, 81, 40368, 282, 35, 34, 26, 605, 81, 983, 711, 334, 816, 81, 3239, 280, 2065, 32, 9880, 1162, 39, 34, 34, 34, 34, 30, 225, 37, 34, 41, 36, 490, 334, 533, 81, 3239, 280, 2065, 32, 9880, 1162, 39, 34, 34, 34, 34, 28020, 9710, 47, 410, 27, 334, 816, 81, 695, 280, 2065, 32, 9880, 1162, 35, 34, 34, 34, 34, 30, 225, 37, 34, 41, 36, 490, 334, 533, 81, 695, 280, 2065, 32, 9880, 1162, 35, 34, 34, 34, 34, 28020, 9710, 47, 410, 27, 334, 2738, 280, 225, 34, 334, 436, 5254, 81, 1055, 328, 2155, 26, 35, 30, 225, 40, 711, 284, 623, 5239, 32, 89, 761, 32, 2961, 26, 291, 2322, 32, 983, 32, 2524, 26, 605, 81, 983, 30, 3486, 313, 40368, 282, 31, 35, 34, 31, 29707, 31, 978, 33, 605, 81, 4432, 16335, 86, 20, 904, 5254, 81, 1055, 471, 291, 313, 4506, 657, 619, 16870, 44, 397, 5254, 81, 605, 280, 281, 14686, 274, 32, 944, 26, 579, 27, 397, 345, 280, 5254, 81, 605, 1365, 605, 6494, 3229, 77, 34, 79, 397, 816, 81, 3239, 77, 1537, 44, 1537, 474, 345, 30, 22913, 280, 5254, 81, 605, 1365, 605, 6494, 15315, 26, 2356, 32, 1808, 37, 36, 27, 397, 533, 81, 3239, 77, 1537, 44, 1537, 474, 345, 79, 280, 2065, 32, 955, 26, 4432, 81, 605, 1365, 5919, 6890, 397, 2738, 1454, 345, 334, 1201, 2738, 610, 225, 39, 34, 34, 34, 34, 334, 623, 5239, 32, 89, 761, 32, 2961, 26, 397, 2322, 32, 983, 32, 2524, 26, 605, 81, 983, 30, 313, 40368, 282, 31, 35, 34, 31, 29707, 31, 978, 33, 858, 81, 4432, 2113, 313, 4506, 657, 619, 16870, 44, 284, 5254, 81, 605, 280, 281, 14686, 274, 32, 944, 26, 579, 27, 284, 816, 81, 695, 280, 5254, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 4, 4, 2, 1, 1, 4, 4, 10, 11, 9, 10, 8, 9, 7, 8, 6, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 6, 6, 8, 8, 7, 8, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 3, 7, 6, 7, 5, 6, 4, 4, 6, 7, 5, 6, 4, 4, 6, 7, 5, 6, 4, 4, 4, 6, 7, 5, 6, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 7, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 7, 6, 7, 8, 6, 2, 2, 4, 4, 5, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 5, 6, 5, 3, 3, 5, 11, 12, 12, 10, 11, 10, 10, 10, 13, 14, 12, 13, 12, 13, 13, 13, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 14, 14, 12, 10, 10, 12, 12, 8, 8, 5, 5, 5, 9, 9, 8, 8, 11, 11, 10, 11, 10, 11, 10, 6, 6, 8, 8, 12, 12, 11, 13, 13, 11, 9, 10, 9, 6, 6, 10, 10, 9, 11, 10, 12, 11, 11, 9, 9, 8, 8, 12, 12, 11, 13, 13, 11, 10, 12, 11, 12, 12, 12, 10, 6, 6, 10, 10, 9, 11, 10, 12, 11, 11, 9, 8, 8, 10, 11, 10, 12, 12, 12, 11, 13, 13, 6, 6, 8, 8, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 2, 2, 3, 9, 10, 10, 8, 9, 8, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 10, 10, 6, 6, 3, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 0, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 0, 7, 7, 1, 1, 0, 8, 8, 1, 2, 8, 8, 0, 0, 9, 9, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 10, 10, 1, 2, 10, 10, 0, 0, 0, 0, 11, 11, 1, 2, 11, 11, 0, 0, 12, 12, 1, 1, 0, 13, 13, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 2, 2, 13, 13, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 7, 2, 1, 4, 4, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 3, 2, 1, 1, 0, 2, 5, 2, 1, 1, 1, 0, 2, 7, 2, 1, 0, 14, 14, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 14, 14, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 2, 4, 4, 5, 1, 1, 5, 5, 1, 1, 1, 1, 3, 1, 5, 5, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 3, 3, 0, 0, 4, 4, 6, 1, 1, 2, 2, 2, 2, 2, 4, 4, 7, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0 ]
[ 5959, 81, 4780, 81, 9425, 81, 4780, 280, 225, 35, 203, 5959, 81, 4780, 81, 27725, 280, 225, 36, 203, 11422, 81, 4780, 81, 21359, 280, 225, 35, 203, 11422, 81, 10330, 81, 21359, 280, 225, 35, 203, 5959, 81, 28973, 81, 2378, 7401, 280, 225, 35, 203, 5959, 81, 28973, 81, 43756, 280, 225, 36, 203, 11422, 81, 28973, 81, 22822, 81, 6961, 280, 225, 34, 106, 34, 88, 203, 11422, 81, 28973, 81, 613, 10383, 81, 6990, 1392, 280, 225, 38, 203, 11422, 81, 28973, 81, 8185, 81, 6961, 280, 225, 34, 2635, 34, 203, 5959, 81, 3900, 74, 81, 52, 13142, 81, 27729, 37566, 280, 225, 34, 106, 34, 35, 203, 5959, 81, 3900, 74, 81, 15895, 1345, 280, 351, 34, 106, 34, 36, 203, 4249, 8390, 81, 3900, 74, 81, 6229, 81, 5915, 280, 264, 34, 106, 34, 38, 203, 5959, 81, 3900, 74, 81, 4384, 69, 81, 6513, 280, 647, 34, 106, 34, 42, 203, 5959, 81, 3900, 74, 81, 4384, 69, 81, 30473, 613, 280, 262, 34, 106, 35, 34, 203, 5959, 81, 3900, 74, 81, 4384, 69, 81, 10765, 280, 958, 34, 106, 36, 34, 203, 5959, 81, 3900, 74, 81, 4384, 69, 81, 46827, 1345, 280, 261, 34, 106, 38, 34, 203, 11422, 81, 3900, 74, 81, 1680, 81, 6229, 280, 225, 34, 203, 5959, 81, 52, 4153, 66, 81, 70, 47965, 81, 25001, 280, 262, 34, 106, 34, 35, 203, 5959, 81, 52, 4153, 66, 81, 70, 4431, 81, 25001, 280, 262, 34, 106, 34, 36, 203, 5959, 81, 52, 4153, 66, 81, 1583, 1893, 81, 46827, 1345, 280, 225, 34, 106, 34, 38, 203, 5959, 81, 52, 4153, 66, 81, 7146, 81, 2930, 280, 647, 34, 106, 34, 42, 203, 11422, 81, 52, 4153, 66, 81, 9994, 81, 3521, 54, 81, 70, 47965, 280, 264, 34, 203, 11422, 81, 52, 4153, 66, 81, 9994, 81, 70, 4431, 280, 2033, 35, 203, 11422, 81, 52, 4153, 66, 81, 9994, 81, 52, 4153, 66, 280, 2033, 36, 203, 11422, 81, 52, 4153, 66, 81, 9994, 81, 5203, 81, 70, 47965, 280, 261, 37, 203, 11422, 81, 780, 74, 81, 8265, 5618, 780, 81, 4924, 280, 958, 34, 203, 11422, 81, 780, 74, 81, 1680, 81, 4384, 635, 1186, 815, 81, 46827, 280, 225, 35, 203, 11422, 81, 9193, 81, 3214, 81, 35, 40, 5670, 280, 225, 35, 203, 11422, 81, 9193, 81, 4409, 81, 35, 40, 5670, 280, 261, 36, 203, 11422, 81, 9193, 81, 3214, 81, 42, 5670, 280, 261, 39, 203, 11422, 81, 9193, 81, 4409, 81, 42, 5670, 280, 264, 40, 203, 5959, 81, 10539, 81, 15001, 81, 35, 280, 225, 34, 106, 34, 42, 203, 5959, 81, 10539, 81, 15001, 81, 36, 280, 225, 34, 106, 34, 38, 203, 5959, 81, 10539, 81, 15001, 81, 37, 280, 225, 34, 106, 34, 36, 203, 5959, 81, 10539, 81, 15001, 81, 38, 280, 225, 34, 106, 34, 35, 203, 5959, 81, 20746, 81, 4431, 81, 18142, 81, 37083, 7097, 280, 225, 34, 106, 34, 35, 203, 5959, 81, 20746, 81, 4431, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 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, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 16539, 619, 1869, 203, 465, 22977, 619, 787, 203, 465, 16672, 203, 3922, 280, 16672, 32, 26633, 26, 284, 3048, 280, 330, 19691, 732, 461, 22996, 5171, 716, 7402, 461, 15341, 2276, 645, 14105, 1501, 25, 203, 27, 203, 3922, 32, 669, 81, 2669, 12605, 101, 370, 11363, 1617, 81, 1515, 370, 284, 3049, 280, 330, 1318, 1561, 3362, 6621, 322, 5171, 716, 7402, 461, 15341, 2276, 370, 284, 1244, 280, 3056, 3699, 33, 40002, 33, 39567, 33, 17127, 33, 3887, 716, 25, 203, 27, 203, 3922, 32, 669, 81, 2669, 12605, 104, 370, 11363, 10529, 370, 284, 3049, 280, 330, 31531, 458, 372, 622, 9541, 1688, 370, 284, 2125, 280, 330, 2157, 81, 1508, 370, 284, 1244, 280, 3177, 203, 27, 203, 1132, 280, 4118, 32, 2208, 81, 1132, 346, 203, 325, 646, 2322, 32, 983, 32, 34103, 26, 1132, 32, 1617, 81, 1515, 711, 284, 3636, 45338, 463, 2028, 3362, 330, 474, 2181, 32, 1617, 81, 1515, 474, 330, 438, 646, 312, 3362, 683, 203, 6298, 81, 1515, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 35490, 4064, 761, 28154, 203, 761, 81, 1001, 280, 330, 37191, 2937, 25, 203, 761, 81, 2665, 280, 301, 284, 330, 9147, 25, 499, 308, 291, 330, 42179, 81, 1160, 370, 291, 330, 42179, 81, 1160, 81, 2051, 370, 291, 330, 42179, 81, 1160, 81, 464, 370, 284, 2588, 203, 111, 203, 979, 1361, 81, 1515, 30, 1361, 81, 2536, 328, 803, 81, 2665, 32, 3028, 2262, 284, 1361, 81, 6298, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 6298, 81, 1515, 30, 1361, 81, 1515, 27, 284, 436, 5980, 328, 1361, 81, 2536, 44, 291, 1561, 81, 23255, 280, 2322, 32, 983, 32, 2524, 26, 1132, 32, 1617, 81, 1515, 30, 803, 81, 1001, 474, 20514, 474, 1361, 81, 1515, 474, 20514, 474, 5980, 27, 291, 7112, 81, 23255, 280, 2322, 32, 983, 32, 2524, 26, 1113, 81, 6298, 81, 1515, 30, 5980, 27, 291, 415, 2181, 32, 10529, 44, 324, 1459, 463, 4001, 299, 1593, 32857, 1914, 372, 8050, 683, 291, 5592, 81, 1617, 280, 1561, 81, 23255, 474, 5608, 2593, 25, 291, 5592, 81, 6298, 280, 7112, 81, 23255, 474, 5608, 2593, 25, 291, 415, 646, 2322, 32, 983, 32, 29712, 26, 2593, 81, 1617, 711, 324, 3636, 45338, 463, 9752, 646, 2290, 5171, 716, 7402, 803, 330, 474, 5592, 81, 1617, 27, 291, 787, 32, 2991, 36, 26, 2593, 81, 1617, 30, 5592, 81, 6298, 27, 291, 415, 2181, 32, 10529, 44, 324, 1459, 463, 4001, 299, 15341, 1914, 372, 8050, 683, 291, 17117, 81, 1617, 280, 1561, 81, 23255, 474, 5608, 4682, 25, 291, 17117, 81, 6298, 280, 7112, 81, 23255, 474, 5608, 4682, 25, 291, 415, 646, 2322, 32, 983, 32, 29712, 26, 4682, 81, 1617, 711, 324, 3636, 45338, 463, 9752, 646, 2290, 5171, 716, 15341, 803, 330, 474, 17117, 81, 1617, 27, 291, 787, 32, 2991, 36, 26, 4682, 81, 1617, 30, 17117, 81, 6298, 27, 291, 415, 2181, 32, 10529, 44, 324, 1459, 463, 609, 28453, 15341 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 5, 5, 5, 5, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 5, 5, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 3, 3, 4, 4, 3, 3, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 1, 1, 2, 5, 6, 4, 5, 4, 6, 5, 6, 6, 6, 4, 1, 1, 3, 5, 9, 9, 9, 7, 7, 8, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 0, 1, 1, 3, 3, 2, 2, 3, 3, 1, 1, 4, 4, 3, 4, 3, 1, 1, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 13, 13, 12, 12, 11, 11, 12, 12, 10, 10, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 4, 4, 5, 6, 7, 5, 5, 5, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 9, 9, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 9, 9, 4, 4, 5, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 4, 4, 7, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 5, 6, 7, 5, 5, 5, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 9, 9, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 9, 9, 4, 4, 5, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 4, 4, 7, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 5, 6, 7, 5, 5, 5, 9, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 7, 1, 1, 1, 2, 1, 1, 9, 9, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 8, 8, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 8, 8, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 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, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 12, 12, 0, 0, 1, 1, 2, 2, 12, 12, 0, 0, 0, 2, 1, 12, 12, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 3, 3, 1, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 5, 5, 5, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 5, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 7, 1, 2, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 5, 5, 10, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 10, 10, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 5, 5, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 12, 1, 2, 12, 12, 12, 1, 1, 1, 1 ]
[ 465, 1933, 203, 465, 2322, 203, 465, 29590, 203, 465, 11685, 203, 465, 7515, 203, 465, 6436, 619, 2065, 203, 465, 18414, 32, 431, 100, 619, 337, 3513, 203, 1070, 18414, 32, 22926, 1188, 308, 27977, 5664, 30, 1014, 296, 887, 30, 1014, 296, 887, 81, 12478, 30, 1014, 296, 887, 81, 6635, 89, 30, 1014, 296, 887, 81, 3589, 5360, 30, 1014, 296, 887, 81, 94, 81, 3589, 5360, 81, 84, 30, 1014, 296, 887, 81, 1528, 85, 30, 1014, 296, 887, 81, 7527, 1030, 27, 203, 1070, 27399, 32, 12484, 81, 4275, 1188, 41438, 924, 203, 1070, 15223, 12813, 1188, 5218, 203, 465, 15223, 12813, 32, 28762, 32, 30697, 203, 1070, 15223, 12813, 32, 28762, 32, 2304, 1188, 544, 81, 7630, 81, 3518, 81, 2679, 203, 1070, 15223, 12813, 32, 14481, 1188, 6538, 1632, 203, 1070, 15223, 12813, 1114, 28771, 32, 87, 9859, 1188, 32635, 10526, 203, 1070, 15223, 12813, 32, 10514, 81, 3922, 1188, 23340, 203, 1070, 15223, 12813, 32, 15019, 1188, 4450, 81, 5082, 203, 1070, 15223, 12813, 32, 11452, 1188, 37527, 959, 924, 203, 1070, 15223, 12813, 32, 28497, 1188, 18978, 81, 3585, 81, 9003, 203, 1070, 15223, 12813, 32, 14481, 32, 317, 4698, 32, 317, 4698, 1188, 7680, 4698, 203, 1070, 15223, 12813, 32, 15019, 1188, 17101, 307, 1572, 203, 1070, 15223, 12813, 32, 28762, 32, 12035, 1188, 308, 9517, 15329, 11920, 1811, 30, 8479, 21583, 15329, 2168, 27, 203, 1070, 15223, 12813, 32, 8463, 32, 4280, 1188, 5710, 14069, 203, 1070, 15223, 12813, 32, 2292, 1188, 5710, 203, 1070, 15223, 12813, 32, 7295, 1188, 19555, 203, 823, 3678, 26, 668, 711, 284, 617, 2232, 512, 11251, 280, 2933, 284, 665, 1156, 2888, 3207, 784, 711, 291, 442, 804, 26, 784, 27, 284, 665, 1156, 1664, 3207, 784, 30, 29565, 711, 291, 630, 32, 468, 32826, 280, 3177, 291, 630, 32, 30697, 280, 29565, 291, 630, 32, 15019, 81, 4018, 280, 630, 32, 30697, 32, 15019, 81, 4018, 291, 630, 32, 5082, 280, 630, 32, 15019, 81, 4018, 32, 7295, 81, 15019, 77, 34, 79, 291, 630, 32, 15019, 81, 4018, 32, 3517, 26, 784, 32, 5140, 81, 22182, 81, 2810, 27, 291, 630, 32, 3994, 81, 5138, 81, 4464, 5270, 280, 1665, 291, 630, 32, 3237, 81, 1586, 21073, 280, 2065, 32, 955, 2009, 1815, 79, 319, 2069, 26, 784, 32, 5082, 32, 5082, 490, 291, 630, 1114, 741, 81, 5410, 280, 1665, 291, 630, 1114, 2705, 81, 12035, 280, 1605, 291, 630, 1114, 3399, 280, 1665, 291, 630, 1114, 1160, 81, 928, 280, 1665, 291, 630, 32, 380, 297, 99, 280, 29565, 1114, 371, 81, 9131, 81, 7295, 346, 291, 630, 32, 380, 297, 99, 32, 2342, 81, 12010, 440, 1808, 657, 291, 630, 32, 380, 297, 99, 32, 605, 32, 4157, 26, 2356, 32, 10095, 27, 291, 630, 32, 380, 297, 99, 32, 4519, 32, 8627, 32, 1311, 280, 766, 324, 630, 32, 30697, 32, 4519, 32, 8627, 32, 1311, 474, 330, 25549, 31, 26267, 25, 291, 630, 32, 45580, 280, 630, 32, 380, 297, 99, 1114, 34003, 81, 1793, 81, 890, 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 ]
[ 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 4, 5, 5, 3, 3, 4, 1, 2, 2, 3, 4, 2, 2, 4, 4, 2, 2, 2, 4, 2, 2, 2, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4, 2, 1, 2, 2, 3, 4, 4, 4, 2, 2, 4, 1, 2, 2, 4, 2, 2, 1, 2, 2, 4, 3, 4, 3, 4, 1, 2, 2, 4, 3, 4, 3, 4, 2, 2, 4, 4, 4, 4, 4, 4, 1, 2, 2, 4, 3, 4, 2, 2, 4, 1, 2, 2, 4, 3, 4, 3, 4, 4, 2, 2, 4, 1, 2, 2, 4, 3, 4, 4, 4, 2, 2, 1, 2, 2, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 4, 3, 4, 2, 2, 4, 4, 4, 4, 1, 2, 2, 4, 3, 4, 3, 4, 4, 3, 4, 4, 2, 2, 4, 1, 2, 2, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 4, 3, 4, 3, 4, 2, 2, 4, 4, 4, 4, 2, 2, 2, 4, 4, 2, 1, 2, 2, 4, 3, 4, 3, 4, 2, 2, 4, 1, 2, 2, 4, 3, 4, 2, 2, 1, 2, 2, 4, 3, 4, 2, 2, 1, 2, 2, 3, 4, 3, 3, 3, 6, 6, 6, 5, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 8, 9, 8, 3, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 7, 7, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 8, 9, 9, 9, 5, 5, 8, 9, 7, 7, 10, 11, 11, 11, 9, 10, 10, 10, 8, 9, 8, 5, 5, 9, 10, 10, 10, 8, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 5, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 7, 7, 9, 10, 9, 12, 11, 10, 10, 12, 15, 14, 15, 13, 14, 12, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 9, 5, 5, 9, 10, 10, 10, 8, 9, 9, 9, 8, 10, 10, 5, 5, 10, 11, 11, 11, 9, 10, 8, 9, 8, 10, 9, 10, 8, 5, 5, 11, 12, 12, 12, 10, 11, 9, 10, 8, 9, 7, 7, 8, 7, 12, 13, 11, 12, 10, 11, 9, 10, 8, 8, 10, 10, 10, 10, 5, 5, 8, 9, 7, 7, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 0, 6, 6, 0, 2, 2, 1, 1, 2, 0, 7, 7, 1, 2, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 8, 8, 1, 2, 2, 2, 8, 8, 0, 0, 9, 9, 0, 9, 9, 0, 10, 10, 0, 1, 2, 1, 4, 0, 11, 11, 0, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 1, 2, 12, 12, 0, 0, 13, 13, 0, 1, 2, 1, 4, 4, 13, 13, 0, 0, 14, 14, 0, 1, 2, 2, 2, 14, 14, 0, 15, 15, 0, 1, 2, 15, 15, 0, 0, 0, 16, 16, 0, 1, 2, 16, 16, 0, 0, 0, 17, 17, 0, 1, 2, 17, 17, 0, 0, 0, 0, 0, 18, 18, 0, 1, 2, 1, 4, 4, 1, 6, 6, 18, 18, 0, 0, 19, 19, 0, 1, 2, 19, 19, 0, 0, 0, 20, 20, 0, 1, 2, 1, 4, 20, 20, 0, 0, 0, 0, 20, 20, 20, 0, 0, 20, 0, 21, 21, 0, 1, 2, 1, 4, 21, 21, 0, 0, 22, 22, 0, 1, 2, 22, 22, 0, 23, 23, 0, 1, 2, 23, 23, 0, 24, 24, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 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, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 3, 3, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2 ]
[ 1109, 334, 46750, 27484, 23665, 2106, 369, 312, 2317, 27681, 313, 19029, 5285, 225, 37, 20, 323, 23350, 16091, 9820, 23539, 104, 36, 32, 334, 2640, 308, 53, 27, 225, 36, 34, 35, 38, 971, 83, 512, 25669, 575, 17676, 453, 9220, 32, 334, 37740, 38222, 2813, 2932, 1024, 4012, 32, 447, 17185, 316, 2452, 18388, 476, 315, 533, 33, 97, 2047, 19575, 315, 323, 23350, 6957, 273, 14956, 887, 500, 5235, 409, 2317, 28958, 9820, 447, 7571, 84, 9491, 6146, 409, 6987, 7476, 34286, 2813, 562, 4223, 7611, 2317, 7823, 3859, 7113, 30, 5235, 39252, 409, 2317, 48352, 225, 36, 409, 343, 1190, 83, 28958, 9820, 337, 39252, 308, 8132, 34286, 7322, 16696, 29618, 27, 409, 38336, 36564, 48352, 5235, 43010, 32, 334, 37740, 38222, 408, 29103, 7822, 457, 2317, 43889, 26991, 409, 2492, 28333, 13446, 1555, 30, 35892, 358, 521, 489, 1392, 44014, 570, 783, 4516, 38609, 51, 30, 5235, 5147, 36561, 9812, 2317, 30459, 692, 15508, 7551, 53, 4516, 1466, 9946, 17414, 9735, 337, 9812, 30459, 692, 10888, 2317, 2198, 14427, 59, 42391, 51, 10864, 51, 6407, 5235, 29479, 44512, 69, 780, 65, 7848, 32, 676, 1309, 460, 2317, 28958, 9820, 447, 7571, 84, 9491, 6146, 409, 6987, 3896, 18741, 41421, 1882, 32, 334, 1513, 690, 15508, 22815, 265, 8814, 930, 7005, 7542, 6165, 905, 409, 2317, 28958, 9820, 447, 7571, 84, 9491, 6146, 594, 6941, 457, 16184, 38222, 32, 5235, 14151, 1289, 14031, 309, 7005, 619, 1999, 30, 2813, 961, 2653, 312, 2317, 7823, 3859, 7113, 30, 6355, 4317, 931, 225, 40, 41, 39, 28051, 399, 587, 30, 31719, 12154, 30, 5235, 13066, 225, 34, 36, 35, 37, 43, 30, 18432, 14754, 32, 203, 1958, 203, 21, 8553, 10613, 44, 6459, 31, 42, 13102, 225, 37, 34, 225, 35, 36, 44, 34, 41, 44, 39, 36, 225, 36, 34, 35, 37, 203, 50, 2116, 44, 23146, 512, 203, 2993, 203, 465, 2676, 203, 1070, 2676, 32, 12023, 32, 2387, 1188, 2908, 81, 12620, 97, 203, 1070, 2676, 1188, 2234, 203, 465, 298, 2209, 6634, 203, 465, 6985, 3922, 203, 465, 1133, 203, 3169, 280, 2908, 81, 12620, 97, 26, 291, 14904, 11414, 25049, 728, 302, 2188, 291, 1509, 81, 8644, 1057, 3310, 31, 42, 370, 291, 1688, 81, 8644, 1057, 3310, 31, 42, 370, 291, 829, 203, 9592, 203, 9172, 83, 30615, 309, 476, 587, 3896, 4648, 10888, 709, 39091, 3555, 29239, 13594, 203, 329, 22233, 743, 540, 422, 30, 7065, 48636, 3002, 29212, 3440, 32, 2252, 290, 39345, 7065, 31024, 4346, 2598, 203, 6294, 409, 225, 35, 34, 1847, 33310, 32640, 2317, 29239, 10510, 29866, 30, 533, 7065, 2813, 619, 91, 30, 3920, 424, 1576, 203, 83, 5585, 26168, 709, 540, 422, 203, 9592, 203, 589, 4648, 24594, 81, 5690, 28293, 2262, 284, 4567, 47, 978, 17022, 32, 16396, 1486, 346, 284, 3082, 47, 3781, 32, 1772, 1199, 284, 3320, 47, 1199, 32, 2613, 284, 39091, 35, 47, 1003, 32, 1003, 346, 284, 273, 47, 2613, 32, 1809, 81, 658, 15520, 17260, 2510, 342, 298, 8139, 15119, 284, 39091, 36, 47, 102, 77, 103, 25, 455, 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, 4, 4, 5, 5, 6, 6, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 3, 3, 4, 3, 4, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 3, 2, 5, 5, 5, 4, 4, 4, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 3, 2, 3, 3, 3, 3, 3, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 0, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 3, 3, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 5, 0, 1, 1, 1, 1, 2, 7, 7, 8, 8, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 3, 3, 3, 4, 4, 0, 0, 0, 5, 5, 2, 6, 7, 8, 0, 0, 9, 2, 2, 10, 10, 10, 10, 10, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 0, 0, 1, 2, 2, 2, 3, 3, 3, 4, 2, 6, 7, 7, 7, 9, 9, 2, 10, 12, 13, 0, 0, 3, 0, 0, 1, 3, 3, 3, 4, 4, 4, 6, 6, 7, 7, 4, 0, 9, 0, 0, 1, 2, 2, 2, 10, 11, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 5, 5, 5, 1, 7, 8, 8, 9, 9, 6, 0, 3, 1, 2, 2, 2, 2, 6, 4, 4, 4, 0, 0, 0, 1, 7, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 8, 8, 8, 8, 7, 10, 10, 10, 10, 10, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 9, 2, 2, 3, 4, 4, 9, 5, 6, 9, 8, 8, 9, 9, 0, 0, 0, 10, 2, 2, 2, 11, 9, 12, 12, 12, 13, 14, 9, 15, 15, 9, 17, 18, 18, 9, 19, 9, 21, 9, 22, 0, 0, 0, 23, 23, 23, 2, 24, 25, 9, 26, 0, 10, 2, 4, 4, 4, 4, 3, 3, 3, 3, 3, 10, 5, 5, 6, 0, 2, 2, 10, 9, 10, 10, 11, 11, 11, 11, 11, 11, 10, 0, 0, 0, 0, 0, 0, 2, 2, 13, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 15, 0, 2, 2, 2, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 894, 1356, 1188, 5867, 81, 983, 203, 465, 894, 1356, 32, 978, 5917, 81, 4072, 93, 619, 27715, 81, 4072, 93, 203, 589, 894, 81, 978, 5917, 81, 12937, 81, 5558, 26, 978, 5917, 81, 858, 81, 1515, 711, 284, 296, 280, 803, 26, 978, 5917, 81, 858, 81, 1515, 474, 2430, 4072, 93, 31, 12937, 31, 5558, 32, 978, 392, 313, 105, 657, 284, 296, 32, 1821, 27265, 203, 1553, 81, 1338, 8240, 280, 2149, 203, 1553, 81, 6411, 6022, 280, 2149, 203, 1001, 6993, 81, 2132, 5688, 280, 2149, 203, 1553, 81, 1536, 81, 13756, 3389, 280, 2149, 203, 5792, 81, 3550, 6019, 280, 2149, 203, 1553, 81, 1163, 81, 9578, 2407, 280, 1605, 203, 30231, 81, 1338, 10086, 280, 2149, 203, 30231, 81, 6979, 81, 8239, 2071, 280, 2149, 203, 2480, 81, 1553, 81, 1338, 5688, 280, 2149, 203, 10097, 81, 4867, 81, 1338, 423, 280, 2149, 203, 5817, 81, 1338, 261, 280, 2149, 588, 28508, 10252, 203, 5817, 81, 1358, 280, 2149, 588, 28508, 4166, 21042, 203, 589, 4691, 81, 3242, 81, 668, 26, 983, 711, 284, 442, 4691, 81, 3242, 26, 983, 30, 11544, 203, 589, 4691, 81, 3242, 26, 983, 30, 1244, 81, 853, 47, 2521, 711, 284, 415, 1244, 81, 853, 863, 1665, 44, 291, 1541, 280, 1244, 81, 853, 284, 813, 44, 291, 1541, 280, 2149, 284, 442, 1541, 203, 41135, 284, 27715, 81, 4072, 93, 32, 669, 81, 761, 26, 88, 30, 5867, 81, 983, 346, 474, 2430, 4072, 93, 81, 1439, 33, 1553, 81, 1237, 32, 978, 657, 284, 27715, 81, 4072, 93, 32, 669, 81, 761, 26, 88, 30, 5867, 81, 983, 346, 474, 2430, 4072, 93, 81, 1439, 33, 12937, 81, 5558, 32, 978, 657, 284, 436, 1519, 328, 27715, 81, 4072, 93, 32, 1553, 81, 2536, 26, 6426, 81, 983, 346, 474, 2430, 17615, 10280, 291, 27715, 81, 4072, 93, 32, 669, 81, 761, 26, 88, 30, 1519, 27, 284, 436, 1519, 328, 27715, 81, 4072, 93, 32, 1553, 81, 2536, 26, 6426, 81, 983, 346, 474, 2430, 12937, 10280, 291, 27715, 81, 4072, 93, 32, 669, 81, 761, 26, 88, 30, 1519, 27, 284, 296, 32, 2679, 346, 284, 4323, 81, 687, 280, 27715, 81, 4072, 93, 32, 1945, 81, 978, 5917, 26, 978, 5917, 81, 858, 81, 1515, 27, 284, 1201, 4323, 81, 687, 610, 225, 34, 30, 313, 4997, 20352, 2431, 600, 1048, 328, 17041, 10252, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6, 8, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 8, 8, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 6, 5, 5, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 6, 5, 5, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 3, 6, 6, 6, 5, 6, 6, 6, 5, 8, 8, 8, 8, 6, 6, 8, 8, 3, 3, 8, 8, 8, 7, 8, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 3, 3, 6, 6, 6, 5, 6, 6, 6, 5, 8, 8, 8, 8, 6, 6, 8, 8, 3, 3, 8, 8, 8, 7, 8, 8, 8, 7, 8, 7, 7, 7, 2, 2, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 6, 2, 2, 3, 5, 5, 4, 4, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 8, 0, 0, 1, 1, 2, 8, 8, 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 ]
[ 1070, 6550, 81, 3626, 32, 31898, 1188, 16778, 203, 1070, 6550, 81, 3626, 32, 40181, 1188, 29038, 203, 1070, 6550, 81, 3626, 32, 4189, 1188, 1149, 81, 4254, 30, 13316, 81, 1131, 30, 622, 81, 1347, 311, 30, 1406, 16737, 203, 1070, 6550, 81, 3626, 32, 5740, 1188, 9095, 203, 1070, 6550, 81, 3626, 32, 7572, 1188, 9399, 30, 6497, 3976, 203, 1070, 6550, 81, 3626, 32, 424, 3883, 1188, 3772, 21302, 203, 823, 9261, 3771, 3711, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 6550, 81, 3626, 81, 5860, 711, 284, 630, 32, 7572, 280, 6497, 3976, 346, 284, 630, 32, 9664, 280, 16778, 26, 784, 32, 7572, 27, 284, 630, 32, 3626, 280, 6550, 81, 3626, 81, 5860, 284, 630, 32, 3840, 280, 6550, 81, 3626, 81, 5860, 32, 3840, 284, 630, 32, 28646, 101, 280, 6550, 81, 3626, 81, 5860, 32, 28646, 101, 284, 630, 32, 5087, 280, 3177, 284, 630, 32, 389, 81, 998, 280, 225, 34, 284, 630, 32, 3953, 280, 225, 34, 284, 6550, 81, 3626, 81, 5860, 32, 7572, 280, 630, 32, 7572, 284, 6550, 81, 3626, 81, 5860, 32, 3483, 280, 630, 334, 665, 1420, 26, 784, 711, 284, 2218, 646, 630, 32, 5087, 44, 397, 630, 1114, 7628, 81, 8126, 346, 397, 415, 630, 32, 3840, 32, 2645, 32, 3626, 81, 416, 44, 291, 415, 630, 32, 3840, 32, 2645, 32, 3626, 81, 416, 32, 1553, 26, 784, 32, 3626, 30, 630, 32, 3840, 32, 2645, 711, 616, 630, 32, 7572, 32, 2024, 26, 784, 32, 3840, 32, 2645, 32, 3626, 81, 416, 32, 878, 27, 616, 1626, 397, 415, 630, 32, 3840, 32, 3626, 81, 416, 44, 291, 415, 630, 32, 3840, 32, 3626, 81, 416, 32, 1553, 26, 784, 32, 3626, 30, 630, 32, 3840, 711, 616, 630, 32, 7572, 32, 2024, 26, 784, 32, 3840, 32, 3626, 81, 416, 32, 878, 27, 616, 1626, 397, 415, 630, 32, 3840, 32, 9855, 333, 225, 34, 44, 291, 630, 32, 7572, 32, 2024, 440, 45198, 30481, 2354, 1133, 15981, 291, 1626, 397, 2016, 280, 630, 1114, 371, 81, 1131, 346, 397, 415, 2016, 610, 330, 99, 25, 556, 2016, 610, 330, 16997, 950, 291, 1626, 8572, 630, 1114, 1409, 81, 1141, 26, 2501, 27, 284, 630, 32, 7572, 32, 2024, 5528, 1140, 4907, 30327, 14351, 96, 657, 334, 665, 617, 7628, 81, 8126, 26, 784, 711, 284, 16038, 280, 630, 32, 3840, 284, 415, 16038, 32, 1553, 81, 325, 81, 5595, 2262, 397, 630, 32, 9664, 32, 2024, 81, 1311, 26, 3260, 32, 2645, 27, 397, 630, 32, 9664, 32, 2024, 81, 5136, 26, 784, 32, 389, 81, 998, 30, 630, 32, 3953, 27, 397, 630, 32, 9664, 32, 2024, 81, 2645, 81, 2310, 26, 3260, 32, 2645, 27, 284, 436, 26261, 328, 630, 32, 28646, 101, 32, 2810, 2262, 397, 415, 26261, 32, 9855, 2377, 225, 34, 44, 291, 26261, 32, 536, 81, 4846, 33375, 631, 26, 3260, 32, 2645, 27, 334, 665, 617, 371, 81, 1131, 26, 784, 711, 284, 630, 32, 7572, 32, 3815, 81, 878, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 10, 9, 10, 8, 4, 4, 7, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 7, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 7, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 8, 8, 8, 8, 7, 8, 6, 6, 7, 8, 4, 4, 8, 8, 8, 8, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 9, 10, 10, 10, 9, 6, 6, 7, 10, 11, 9, 10, 8, 9, 9, 9, 7, 7, 7, 9, 14, 15, 13, 14, 12, 13, 13, 13, 11, 12, 11, 13, 12, 13, 11, 11, 13, 14, 12, 13, 11, 9, 9, 14, 15, 13, 14, 13, 18, 17, 18, 16, 17, 15, 16, 16, 16, 14, 15, 13, 10, 10, 6, 6, 7, 9, 10, 8, 9, 9, 9, 7, 7, 7, 9, 13, 14, 12, 13, 13, 13, 11, 12, 11, 13, 12, 13, 11, 11, 12, 13, 11, 9, 9, 14, 15, 13, 14, 13, 17, 16, 17, 15, 16, 16, 16, 14, 15, 13, 10, 10, 6, 6, 7, 10, 11, 9, 10, 8, 8, 9, 7, 7, 7, 12, 13, 11, 12, 11, 13, 13, 13, 13, 13, 8, 8, 6, 6, 8, 8, 10, 11, 11, 11, 10, 6, 6, 7, 9, 9, 11, 11, 8, 8, 9, 9, 11, 11, 7, 7, 6, 6, 9, 10, 10, 10, 9, 10, 9, 4, 4, 8, 9, 7, 8, 7, 10, 9, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 5, 7, 8, 8, 8, 8, 8, 7, 5, 5, 10, 11, 9, 10, 10, 10, 9, 11, 10, 11, 9, 6, 6, 10, 11, 9, 10, 10, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 11, 9, 6, 6, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 10, 11, 9, 4, 4, 5, 5, 5, 8, 9, 9, 7, 8, 7, 5, 5, 7, 9, 10, 8, 8, 9, 7, 7, 7, 11, 12, 12, 12, 12, 12, 11, 13, 12, 13, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 4, 4, 0, 0, 5, 5, 0, 0, 1, 2, 2, 5, 5, 0, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 3, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 3, 3, 3, 3, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 2, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 3, 3, 5, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 5, 5, 3, 3, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 2, 2, 2, 1 ]
[ 465, 5237, 203, 465, 16539, 203, 465, 6436, 619, 2065, 203, 465, 10020, 10328, 32, 716, 32, 16443, 619, 30596, 203, 589, 37019, 81, 2859, 26, 3779, 30, 963, 16443, 711, 284, 415, 308, 3779, 610, 330, 3513, 37, 7831, 291, 37019, 1515, 280, 3056, 3264, 33, 2250, 33, 2250, 15615, 33, 4952, 775, 33, 605, 33, 2336, 329, 1269, 305, 7436, 33, 3513, 37, 33, 33167, 33, 37, 32, 35, 25, 284, 415, 308, 3779, 610, 330, 3513, 38, 7831, 291, 37019, 1515, 280, 3056, 3264, 33, 2250, 33, 2250, 15615, 33, 4952, 775, 33, 605, 33, 2336, 329, 1269, 305, 7436, 33, 3513, 38, 33, 33167, 33, 38, 32, 34, 25, 284, 415, 308, 3779, 610, 330, 3513, 39, 7831, 291, 37019, 1515, 280, 3056, 3264, 33, 2250, 33, 2250, 15615, 33, 4952, 775, 33, 605, 33, 2336, 329, 1269, 305, 7436, 33, 3513, 39, 33, 33167, 33, 39, 32, 34, 25, 284, 415, 308, 3779, 610, 330, 3513, 40, 7831, 291, 37019, 1515, 280, 3056, 3264, 33, 2250, 33, 2250, 15615, 33, 4952, 775, 33, 605, 33, 2336, 329, 1269, 305, 7436, 33, 3513, 40, 33, 33167, 33, 40, 32, 34, 25, 284, 415, 308, 3779, 610, 330, 3513, 41, 7831, 291, 37019, 1515, 280, 3056, 3264, 33, 2250, 33, 2250, 15615, 33, 4952, 775, 33, 605, 33, 2336, 329, 1269, 305, 7436, 33, 3513, 41, 33, 33167, 33, 41, 32, 35, 25, 284, 415, 308, 3779, 610, 330, 3513, 42, 96, 7831, 16189, 37019, 1515, 280, 3056, 3264, 33, 2250, 33, 2250, 15615, 33, 4952, 775, 33, 605, 33, 2336, 329, 1269, 305, 7436, 33, 3513, 42, 33, 19821, 33, 33167, 33, 42, 32, 34, 25, 284, 415, 308, 3779, 610, 330, 3513, 42, 101, 7831, 16189, 37019, 1515, 280, 3056, 3264, 33, 2250, 33, 2250, 15615, 33, 4952, 775, 33, 605, 33, 2336, 329, 1269, 305, 7436, 33, 3513, 42, 33, 23705, 33, 33167, 33, 42, 32, 34, 25, 284, 415, 308, 3779, 610, 330, 3513, 43, 96, 7831, 291, 37019, 1515, 280, 3056, 3264, 33, 85, 21742, 35, 33, 2713, 33, 28619, 107, 483, 33, 3513, 43, 95, 33, 19821, 33, 33167, 7404, 284, 415, 308, 3779, 610, 330, 3513, 43, 101, 7831, 291, 37019, 1515, 280, 3056, 3264, 33, 85, 21742, 35, 33, 2713, 33, 28619, 107, 483, 33, 3513, 43, 95, 33, 23705, 33, 33167, 7404, 284, 3691, 466, 280, 313, 3246, 313, 474, 37019, 1515, 474, 2430, 33167, 31, 37683, 77, 4911, 79, 37683, 31, 37683, 77, 4911, 79, 10397, 4972, 16443, 523, 22916, 429, 56, 4034, 33, 1492, 4034, 109, 1216, 398, 18217, 4104, 1010, 284, 298, 35, 280, 16539, 32, 45606, 26, 2868, 466, 30, 12532, 47, 27958, 32, 18165, 30, 9073, 47, 1815, 27, 284, 37019, 668, 280, 2065, 32, 955, 26, 98, 35, 32, 508, 48275, 8532, 34, 997, 5460, 463, 14510, 1814, 2998, 9442, 96, 2847, 20129, 35, 79, 284, 8752, 16826, 280, 2069, 26, 33167, 668, 27, 284, 540, 13493, 30, 29119, 648, 30, 5973, 887, 30, 5973, 1449, 280, 2065, 32, 9880, 26, 2425, 16826, 471 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 6, 5, 5, 7, 7, 7, 3, 3, 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, 2, 2, 3, 6, 5, 5, 7, 7, 7, 3, 3, 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, 2, 2, 3, 6, 5, 5, 7, 7, 7, 3, 3, 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, 2, 2, 3, 6, 5, 5, 7, 7, 7, 3, 3, 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, 2, 2, 3, 6, 5, 5, 7, 7, 7, 3, 3, 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, 2, 2, 3, 6, 5, 5, 7, 7, 7, 7, 3, 3, 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, 2, 2, 3, 6, 5, 5, 7, 7, 7, 7, 3, 3, 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, 2, 2, 3, 6, 5, 5, 7, 7, 7, 7, 3, 3, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 6, 5, 5, 7, 7, 7, 7, 3, 3, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 4, 4, 8, 8, 6, 6, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 2, 2, 5, 4, 4, 6, 7, 6, 7, 7, 6, 6, 7, 9, 8, 9, 6, 6, 7, 8, 6, 2, 2, 5, 4, 4, 7, 8, 7, 15, 15, 14, 15, 15, 14, 13, 12, 12, 11, 13, 13, 10, 9, 12, 11, 5, 8, 5, 2, 2, 5, 4, 4, 6, 7, 7, 6, 2, 2, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 4, 4, 7, 8, 7, 8, 8, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 2, 0, 4, 1, 1, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 0, 0, 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, 2, 4, 4, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 1, 1, 1, 1, 2, 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, 2, 4, 4, 4, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 0, 1, 1, 1, 1, 1, 2, 6, 6, 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, 2, 4, 4, 7, 0, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 8, 0, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 4, 0, 0, 6, 0, 0, 0, 2, 1, 1, 1, 1 ]
[ 1070, 409, 32, 2178, 905, 32, 93, 32911, 32, 2796, 32, 12711, 32, 1439, 32, 1969, 730, 1188, 6324, 263, 203, 1070, 409, 32, 2178, 905, 32, 93, 32911, 32, 2796, 32, 12711, 32, 1439, 32, 1969, 730, 1188, 5245, 263, 203, 1070, 409, 32, 2178, 905, 32, 93, 32911, 32, 2796, 32, 12711, 32, 1439, 32, 1969, 730, 1188, 6012, 730, 263, 203, 1070, 409, 32, 2178, 905, 32, 93, 32911, 32, 2796, 32, 12711, 32, 108, 1479, 32, 5229, 1188, 14077, 203, 823, 7400, 1969, 26, 1969, 730, 711, 284, 665, 617, 1297, 1097, 26, 784, 30, 2694, 15204, 711, 291, 4070, 280, 630, 32, 3550, 291, 1623, 280, 1665, 291, 34280, 280, 4247, 291, 18935, 280, 4247, 291, 415, 2694, 15204, 32, 28195, 44, 324, 34280, 1454, 18935, 474, 2694, 15204, 32, 28195, 324, 18935, 280, 330, 523, 330, 291, 415, 2694, 15204, 32, 3153, 44, 324, 34280, 1454, 18935, 474, 2694, 15204, 32, 3153, 291, 1780, 280, 2694, 15204, 32, 1311, 291, 415, 4070, 32, 6077, 4220, 2185, 3173, 461, 4070, 32, 2245, 34792, 383, 3173, 44, 263, 324, 415, 2694, 15204, 32, 3153, 438, 646, 1665, 461, 1780, 32, 15990, 26, 519, 15204, 32, 3153, 711, 400, 1780, 280, 1780, 77, 1657, 26, 519, 15204, 32, 3153, 711, 997, 7201, 346, 291, 415, 2694, 15204, 32, 1172, 438, 646, 1665, 461, 2694, 15204, 32, 1172, 863, 3330, 461, 4070, 32, 2245, 6751, 383, 3173, 44, 324, 2266, 280, 2694, 15204, 32, 1172, 324, 415, 2694, 15204, 32, 681, 438, 646, 1665, 44, 400, 2266, 280, 2694, 15204, 32, 681, 32, 34399, 346, 474, 10685, 313, 474, 2266, 324, 1780, 280, 35075, 474, 2266, 474, 42503, 330, 474, 1780, 291, 1780, 32, 7201, 346, 291, 415, 2694, 15204, 32, 26990, 438, 646, 1665, 461, 2694, 15204, 32, 20053, 438, 646, 1665, 461, 4070, 32, 2245, 28994, 383, 3173, 44, 324, 1780, 280, 596, 26, 784, 1114, 26, 37, 36, 34, 38, 41, 30, 2694, 15204, 32, 26990, 30, 2694, 15204, 32, 20053, 490, 474, 313, 429, 313, 474, 1780, 291, 415, 2694, 15204, 32, 1066, 444, 461, 4070, 32, 2245, 5195, 444, 383, 3173, 44, 324, 1780, 280, 15584, 5103, 330, 474, 1780, 291, 415, 34280, 438, 646, 1665, 461, 34280, 863, 3330, 461, 4070, 32, 2245, 34792, 383, 3173, 44, 324, 1780, 280, 35075, 474, 34280, 474, 42503, 330, 474, 1780, 291, 1780, 280, 1780, 32, 7201, 346, 291, 415, 2694, 15204, 32, 770, 438, 646, 1665, 461, 4070, 32, 2245, 1547, 383, 3173, 44, 324, 1780, 280, 2694, 15204, 32, 770, 474, 313, 313, 474, 1780, 291, 438, 5637, 280, 3177, 291, 415, 2694, 15204, 32, 1286, 558, 438, 646, 1665, 461, 2694, 15204, 32, 1066, 444, 44, 324, 2803, 280, 5053, 1286, 558, 950, 2694, 15204, 32, 1286, 558, 30, 330, 1311, 950, 1780, 111, 324, 415, 2694, 15204, 32, 1237, 1763, 438, 646, 1665, 44, 400, 2803, 710, 1237, 1763, 785, 280, 2694, 15204, 32, 1237, 1763, 324, 415, 2694, 15204, 32, 965, 438, 646, 1665, 44, 400, 2803, 710, 5000, 2205, 785, 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, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 0, 1, 1, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 6, 6, 4, 4, 6, 6, 4, 4, 6, 6, 4, 4, 5, 7, 6, 7, 5, 5, 5, 8, 8, 9, 9, 11, 10, 11, 6, 6, 8, 8, 10, 10, 4, 4, 5, 7, 6, 7, 5, 5, 5, 8, 8, 9, 9, 11, 10, 11, 4, 4, 6, 6, 8, 7, 8, 4, 4, 5, 7, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 5, 7, 11, 10, 11, 9, 9, 9, 8, 8, 10, 11, 10, 12, 12, 11, 12, 10, 7, 7, 10, 10, 13, 16, 16, 18, 18, 17, 18, 16, 13, 13, 12, 4, 4, 5, 10, 9, 10, 8, 8, 8, 7, 7, 10, 9, 10, 8, 8, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 8, 8, 10, 9, 10, 6, 6, 7, 10, 9, 10, 8, 8, 8, 7, 7, 7, 10, 10, 16, 15, 16, 14, 15, 14, 12, 12, 14, 11, 11, 6, 6, 8, 8, 11, 11, 10, 10, 12, 9, 9, 4, 4, 7, 8, 7, 4, 4, 5, 10, 9, 10, 8, 8, 8, 7, 7, 10, 9, 10, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 8, 8, 12, 15, 14, 14, 15, 15, 15, 15, 15, 14, 14, 16, 15, 16, 14, 14, 16, 15, 16, 14, 10, 10, 12, 12, 9, 9, 4, 4, 5, 8, 7, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 11, 11, 9, 9, 4, 4, 5, 8, 8, 8, 7, 7, 8, 8, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 8, 8, 11, 11, 10, 10, 12, 9, 9, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 9, 8, 9, 7, 7, 7, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 8, 8, 12, 11, 12, 10, 10, 12, 9, 9, 4, 4, 7, 6, 6, 4, 4, 5, 9, 8, 9, 9, 7, 7, 7, 6, 6, 8, 7, 8, 8, 5, 5, 5, 8, 8, 12, 12, 12, 10, 12, 11, 12, 12, 9, 9, 12, 12, 10, 9, 6, 6, 7, 10, 9, 10, 10, 8, 8, 8, 7, 7, 7, 11, 13, 13, 13, 10, 10, 12, 11, 12, 12, 6, 6, 7, 10, 9, 10, 8, 8, 8, 7, 7, 7, 11, 13, 13, 13, 10 ]
[ 0, 0, 1, 2, 2, 1, 4, 4, 1, 6, 1, 8, 1, 10, 1, 12, 12, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 4, 4, 1, 6, 1, 8, 1, 10, 1, 12, 12, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 1, 6, 1, 8, 1, 10, 1, 12, 12, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 1, 4, 4, 1, 6, 1, 8, 1, 10, 10, 1, 12, 3, 3, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 1, 2, 4, 4, 4, 0, 0, 2, 2, 0, 2, 2, 3, 3, 0, 0, 1, 1, 4, 4, 5, 0, 1, 2, 5, 5, 5, 0, 0, 2, 2, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 7, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 7, 7, 7, 7, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 4, 4, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 8, 8, 8, 0, 0, 0, 2, 2, 3, 3, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 2, 1, 4, 4, 10, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 10, 10, 10, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 0, 0, 1, 1, 2, 2, 4, 4, 11, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 11, 11, 11, 0, 0, 1, 1, 2, 2, 4, 4, 12, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 12, 12, 12, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 14, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 14, 14, 14, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 4, 4, 16, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 16, 16, 16, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 3, 2, 3, 3, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 3, 3, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0 ]
[ 465, 617, 3426, 619, 3664, 30, 1133, 203, 465, 26313, 203, 1070, 4300, 1669, 1188, 27178, 81, 21518, 619, 35478, 203, 1070, 48885, 39, 32, 30609, 1188, 1910, 3021, 30, 3619, 12561, 10760, 30, 42656, 30, 1910, 4852, 203, 465, 498, 75, 2755, 619, 8745, 203, 87, 26, 1473, 711, 284, 665, 1156, 890, 3207, 6933, 30, 319, 1132, 30, 1115, 5321, 711, 291, 415, 646, 19326, 26, 6933, 30, 7610, 2386, 7831, 324, 3218, 280, 2599, 26, 15968, 30, 9011, 27, 324, 9011, 1114, 2386, 280, 3218, 3667, 890, 3207, 6933, 30, 319, 1132, 30, 1115, 5321, 27, 291, 442, 9011, 1114, 2386, 203, 21, 225, 11513, 26143, 127, 5933, 14876, 203, 589, 20206, 1115, 5321, 711, 284, 6942, 280, 2149, 284, 665, 622, 2386, 2262, 291, 415, 9011, 646, 328, 6942, 44, 324, 6942, 77, 6933, 79, 280, 9011, 2740, 1132, 30, 1115, 5321, 27, 291, 442, 6942, 77, 6933, 79, 284, 442, 622, 2386, 203, 50, 17154, 203, 823, 4187, 1572, 26, 67, 959, 711, 284, 23066, 6701, 280, 1605, 284, 8759, 958, 280, 1665, 284, 2575, 1669, 225, 280, 1665, 284, 588, 36589, 5067, 35422, 9343, 12363, 45045, 284, 1974, 81, 86, 3219, 81, 2795, 1572, 26, 784, 30, 3420, 81, 8188, 81, 4025, 81, 2795, 711, 291, 630, 32, 7212, 280, 1665, 291, 630, 32, 34772, 6701, 280, 1605, 291, 630, 32, 2546, 6701, 47, 1605, 291, 630, 32, 8188, 81, 4025, 81, 2795, 225, 280, 3420, 81, 8188, 81, 4025, 81, 2795, 291, 588, 225, 31534, 5014, 16100, 291, 588, 3426, 32, 1366, 81, 890, 81, 3426, 26, 784, 32, 1409, 225, 3097, 334, 2899, 44, 601, 291, 630, 32, 34772, 6701, 32, 1689, 26, 2795, 27, 291, 1459, 30554, 48, 5014, 17043, 5011, 29834, 7788, 284, 665, 409, 3926, 26, 784, 30, 2899, 711, 291, 3097, 284, 665, 622, 81, 668, 81, 1028, 81, 8246, 26, 784, 711, 291, 442, 630, 32, 34772, 6701, 284, 665, 3466, 628, 81, 2795, 26, 784, 30, 2899, 1763, 711, 291, 588, 225, 41166, 7535, 29669, 11742, 291, 436, 595, 328, 2155, 26, 1657, 26, 784, 32, 34772, 6701, 7824, 35, 30, 429, 35, 30, 429, 35, 711, 284, 23066, 6701, 77, 91, 79, 324, 415, 2899, 32, 2795, 1763, 610, 2899, 1763, 44, 400, 630, 32, 8188, 81, 4025, 81, 2795, 26, 91, 30, 2899, 27, 400, 630, 32, 34772, 6701, 32, 3235, 26, 91, 27, 284, 665, 1420, 26, 784, 711, 291, 2218, 2933, 44, 324, 2738, 1043, 280, 629, 26, 1003, 32, 1003, 1157, 225, 588, 13616, 8373, 1948, 130, 324, 1524, 324, 1459, 440, 1537, 1133, 1924, 474, 596, 26, 1537, 1043, 27, 474, 3003, 225, 17043, 22442, 44, 313, 2264, 15805, 429, 35, 30, 429, 35, 711, 400, 2899, 280, 630, 32, 374, 263, 1524, 400, 1459, 463, 2795, 2404, 6078, 474, 2899, 32, 2795, 1763, 474, 16501, 5769, 2841, 1133, 6078, 474, 596, 26, 2304, 32, 88, 711, 10000, 2899, 32, 1409, 81, 2795, 346, 528, 813, 44, 715, 630, 32, 1877, 81, 770, 32, 7911, 26, 91, 30, 30749, 596, 26, 2304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 5, 3, 3, 2, 2, 1, 2, 2, 1, 2, 2, 4, 2, 2, 5, 5, 3, 3, 1, 2, 2, 4, 3, 4, 2, 2, 4, 2, 2, 4, 4, 2, 2, 2, 2, 4, 1, 2, 2, 5, 5, 3, 3, 1, 4, 4, 5, 4, 1, 1, 2, 3, 3, 4, 3, 3, 5, 3, 3, 5, 3, 2, 2, 4, 5, 7, 8, 7, 7, 9, 9, 4, 4, 7, 7, 9, 10, 9, 9, 9, 5, 5, 8, 9, 7, 7, 9, 10, 10, 10, 9, 9, 11, 9, 9, 11, 9, 3, 3, 4, 5, 6, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 7, 4, 5, 5, 5, 4, 1, 3, 3, 3, 2, 2, 4, 6, 5, 6, 4, 4, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 11, 3, 4, 6, 6, 6, 6, 1, 2, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 6, 6, 6, 6, 3, 6, 6, 5, 5, 6, 6, 6, 6, 6, 5, 6, 6, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 2, 2, 2, 7, 5, 5, 6, 3, 7, 7, 7, 7, 7, 5, 3, 7, 7, 7, 7, 7, 7, 6, 6, 3, 3, 3, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 1, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 1, 1, 1, 1, 4, 4, 6, 6, 6, 6, 1, 1, 2, 2, 2, 3, 3, 3, 4, 3, 2, 2, 4, 1, 2, 3, 3, 3, 3, 4, 4, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 1, 1, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 4, 4, 6, 9, 11, 11, 11, 11, 11, 6, 7, 8, 4, 3, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 4, 2, 2, 2, 2, 2, 7, 7, 7, 6, 7, 7, 7, 7, 6, 6, 3, 3, 3, 3, 8, 8, 6, 7, 6, 1, 1, 2, 3, 3, 4, 4, 2, 2, 2, 2, 4, 5, 5, 8, 8, 7, 9, 12, 12, 12, 12, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 5, 8, 8, 13, 13, 13, 13, 10, 10, 10, 10, 10, 10, 12, 11, 13, 12, 7, 7, 7, 7, 7, 7, 7, 11, 11, 10, 11, 8, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 1, 2, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 6, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 11, 11, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 4, 1, 0, 0, 0, 0, 0, 12, 1, 1, 1, 13, 0, 0, 15, 1, 1, 1, 1, 2, 1, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 3, 15, 15, 15, 2, 0, 0, 2, 5, 0, 0, 2, 2, 2, 0, 5, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 5, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 17, 17, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 20, 20, 20, 1, 1, 1, 1, 2, 20, 20, 0, 0, 21, 1, 1, 1, 1, 1, 1, 21, 21, 21, 21, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 22, 22, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 22, 22, 22, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 24, 24, 24, 24, 24, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 2, 2, 0, 2, 1, 0, 0, 25, 1, 2, 1, 1, 25, 25, 25, 25, 0, 1, 3, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 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, 2, 3, 3, 3, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0 ]
[ 465, 10343, 203, 3459, 2378, 6169, 280, 225, 35, 34, 36, 38, 203, 823, 35321, 13191, 26, 11278, 32, 1622, 3234, 711, 284, 23685, 81, 426, 280, 10343, 32, 652, 871, 26, 3459, 2378, 6169, 27, 284, 23685, 81, 314, 280, 10343, 32, 652, 871, 26, 37, 36, 27, 284, 23685, 81, 1232, 314, 280, 10343, 32, 652, 871, 26, 38, 34, 27, 284, 23685, 81, 1066, 289, 314, 280, 10343, 32, 1428, 871, 346, 284, 23685, 81, 41, 19689, 314, 280, 10343, 32, 1428, 871, 346, 284, 30795, 81, 1648, 280, 10343, 32, 652, 871, 26, 37, 36, 27, 284, 34280, 280, 10343, 32, 652, 871, 26, 3459, 2378, 6169, 27, 284, 3621, 280, 10343, 32, 652, 871, 26, 3459, 2378, 6169, 27, 284, 3621, 81, 41, 19689, 314, 280, 10343, 32, 1428, 871, 346, 284, 1780, 280, 10343, 32, 652, 871, 26, 3459, 2378, 6169, 27, 284, 23685, 81, 32586, 5698, 13352, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 23685, 81, 8079, 102, 1528, 307, 422, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 17673, 81, 314, 280, 10343, 32, 652, 871, 26, 37, 36, 27, 284, 17673, 81, 8079, 102, 1528, 307, 422, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 23685, 81, 16457, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 23685, 81, 17155, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 23685, 81, 2645, 280, 10343, 32, 652, 871, 26, 3459, 2378, 6169, 27, 284, 4562, 81, 41, 19689, 314, 280, 10343, 32, 1428, 871, 346, 284, 5417, 81, 18310, 81, 41183, 280, 10343, 32, 1428, 871, 346, 284, 5417, 81, 12278, 81, 13086, 280, 10343, 32, 1428, 871, 346, 203, 823, 35321, 9745, 26, 11278, 32, 1622, 3234, 711, 284, 9209, 81, 3287, 81, 3306, 280, 10343, 32, 1428, 871, 346, 284, 9025, 81, 954, 39, 280, 10343, 32, 652, 871, 26, 37, 36, 27, 284, 343, 723, 3452, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 7459, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 943, 81, 1028, 81, 12231, 81, 266, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 13065, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 1202, 280, 10343, 32, 1428, 871, 346, 284, 1202, 81, 30900, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 598, 836, 4321, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 2926, 280, 10343, 32, 1428, 871, 346, 284, 2926, 81, 30900, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 1477, 81, 1028, 81, 12231, 81, 541, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 28707, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 1133, 81, 9569, 280, 10343, 32, 1428, 871, 346, 284, 1133, 81, 9569, 81, 30900, 280, 10343, 32, 3670, 40, 38, 871, 346, 284, 4562, 81, 314, 280, 10343, 32, 652, 871, 26, 37, 36, 27, 284, 5417, 81, 19978, 81, 1366, 280, 10343, 32, 1428, 871, 346, 284, 5417, 81, 19978, 81, 30900, 280, 10343, 32, 1428, 871, 346, 284, 5417, 81, 19978, 81, 16573, 2907, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 3, 3, 1, 2, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0 ]
[ 465, 7744, 203, 465, 2322, 203, 465, 316, 203, 1070, 2322, 81, 39223, 1188, 13916, 203, 1070, 2322, 315, 81, 32648, 1188, 2164, 2304, 619, 298, 2304, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 2322, 315, 81, 2304, 1188, 13489, 2304, 203, 1070, 18792, 1188, 18054, 203, 1070, 281, 15130, 1188, 3756, 203, 1070, 281, 15130, 32, 91, 35, 42, 96, 1188, 617, 815, 30, 617, 1798, 203, 1070, 281, 15130, 1188, 8745, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 498, 5047, 26, 15208, 32, 7584, 711, 284, 498, 5047, 81, 8185, 81, 9857, 280, 2107, 2121, 370, 330, 7257, 81, 2320, 47, 53, 785, 284, 665, 1156, 1664, 3207, 784, 30, 354, 89, 81, 426, 30, 3051, 81, 4313, 30, 1487, 81, 8163, 47, 2700, 30, 353, 14303, 81, 27611, 47, 2521, 30, 456, 3149, 81, 681, 1057, 1536, 370, 353, 13916, 47, 524, 18314, 32, 4526, 30, 456, 3149, 81, 2957, 47, 2521, 711, 291, 2599, 26, 62, 5047, 30, 630, 14585, 1664, 3207, 4526, 47, 15208, 30, 3051, 81, 4313, 47, 2388, 81, 4313, 27, 291, 630, 32, 8163, 81, 426, 280, 354, 89, 81, 426, 291, 630, 32, 12365, 81, 668, 280, 1605, 291, 630, 32, 8163, 81, 891, 280, 225, 34, 32, 34, 291, 630, 32, 8163, 81, 3994, 81, 1166, 280, 225, 34, 32, 34, 291, 630, 32, 8163, 81, 6973, 81, 998, 280, 225, 34, 291, 630, 32, 8163, 81, 6572, 280, 1665, 291, 630, 32, 8163, 81, 34076, 81, 5178, 280, 1665, 291, 630, 32, 8163, 81, 34076, 81, 5178, 81, 891, 280, 225, 34, 32, 34, 291, 630, 32, 8163, 81, 34076, 81, 5178, 81, 3994, 81, 1166, 280, 225, 34, 32, 34, 291, 630, 1114, 25166, 81, 10799, 81, 6973, 81, 15297, 280, 1665, 291, 630, 1114, 25166, 81, 6973, 2342, 81, 627, 6845, 93, 639, 15297, 280, 1665, 291, 630, 32, 8163, 81, 23221, 318, 81, 13886, 280, 225, 34, 32, 34, 291, 415, 456, 3149, 81, 2957, 461, 2322, 32, 983, 32, 29712, 26, 94, 3149, 81, 2957, 711, 324, 456, 3149, 81, 3731, 81, 1515, 280, 2322, 32, 983, 32, 7781, 26, 94, 3149, 81, 2957, 27, 324, 498, 5047, 32, 62, 5047, 81, 8185, 81, 9857, 280, 2107, 2121, 370, 6619, 330, 7257, 81, 2320, 47, 53, 370, 6619, 330, 62, 5047, 81, 12882, 81, 3197, 1057, 474, 456, 3149, 81, 3731, 81, 1515, 79, 291, 415, 1487, 81, 8163, 461, 14303, 81, 27611, 438, 646, 1665, 44, 324, 630, 32, 12365, 81, 668, 280, 14303, 81, 27611, 324, 1596, 44, 400, 630, 1114, 1297, 81, 8163, 26, 18960, 81, 27611, 27, 324, 2940, 298, 2304, 32, 2861, 6136, 924, 619, 1137, 44, 400, 5776, 32, 3893, 2176, 815, 463, 924, 6892, 18680, 7051, 2847, 400, 5776, 32, 731, 2176, 815, 463, 5276, 262, 499, 23, 101, 1425, 1137, 32, 3515, 27, 400, 5776, 32, 731, 2176, 815, 463, 10686, 1512, 225, 499, 23, 101, 1425, 1137, 32, 9362, 27, 400, 5776, 32, 731, 2176, 815, 463, 10686, 4309 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 4, 2, 2, 3, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 5, 7, 7, 4, 4, 5, 7, 7, 6, 7, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 8, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 5, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 8, 5, 5, 9, 9, 9, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 11, 10, 6, 6, 10, 9, 10, 10, 10, 10, 10, 10, 8, 8, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 11, 11, 9, 4, 4, 5, 7, 7, 6, 6, 8, 8, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 6, 6, 7, 7, 7, 11, 12, 12, 12, 11, 12, 12, 12, 11, 7, 7, 8, 11, 10, 11, 11, 11, 9, 9, 8, 8, 8, 12, 13, 12, 14, 14, 16, 16, 16, 16, 16, 9, 9, 12, 13, 12, 14, 14, 16, 16, 16, 16, 16, 16, 12, 13, 14, 12, 9, 9, 12, 13, 12, 14, 14, 16, 16, 16, 16, 16, 16, 16, 12, 13, 14, 12, 9, 9, 12, 13, 12, 14, 14, 16, 16 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 3, 3, 2, 0, 5, 5, 0, 0, 0, 5, 5, 3, 3, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 7, 7, 7, 7, 0, 8, 8, 0, 8, 8, 0, 9, 9, 0, 1, 2, 2, 2, 2, 9, 9, 0, 9, 9, 0, 0, 10, 10, 0, 10, 10, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 12, 12, 1, 2, 0, 1, 2, 2, 12, 12, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 0, 0, 11, 1, 2, 2, 2, 13, 0, 0, 2, 2, 2, 2, 0, 0, 0, 15, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 13, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 2, 2, 2, 2, 2, 4, 4, 14, 0, 0, 1, 1, 0, 0, 2, 2, 2, 14, 14, 14, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 3, 3, 3, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 0, 2, 1, 0, 1, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 589, 316, 1871, 510, 1282, 81, 6557, 26, 100, 711, 284, 540, 280, 2065, 32, 26742, 26, 100, 547, 38094, 8532, 34, 79, 284, 442, 225, 35, 32, 517, 308, 100, 77, 34, 79, 474, 225, 35, 27, 415, 540, 32, 891, 813, 225, 34, 32, 203, 589, 5651, 81, 14988, 510, 1282, 81, 6557, 26, 3666, 711, 284, 442, 2065, 32, 6009, 2009, 14988, 510, 1282, 81, 6557, 26, 100, 27, 436, 540, 328, 9224, 1130, 203, 589, 540, 81, 15144, 26, 100, 711, 284, 540, 280, 2065, 32, 26742, 26, 100, 27, 863, 225, 34, 284, 1288, 280, 540, 32, 38094, 8532, 34, 79, 284, 415, 646, 1288, 32, 891, 44, 291, 442, 225, 34, 32, 284, 442, 2065, 32, 6009, 26, 100, 2867, 108, 6448, 35, 79, 474, 225, 35, 1130, 203, 589, 12485, 81, 269, 81, 93, 26, 100, 30, 831, 711, 284, 1201, 831, 2377, 225, 35, 284, 540, 280, 2065, 32, 26742, 26, 100, 27, 2867, 93, 79, 863, 225, 34, 284, 415, 540, 32, 891, 863, 831, 44, 291, 3636, 10091, 463, 435, 40289, 6793, 3104, 333, 831, 683, 284, 442, 2065, 32, 6009, 26, 100, 27, 203, 589, 10858, 81, 15144, 26, 100, 711, 284, 540, 280, 2065, 32, 26742, 26, 100, 27, 863, 225, 34, 284, 963, 280, 428, 15144, 81, 269, 81, 93, 26, 100, 30, 831, 474, 225, 35, 27, 436, 831, 328, 2155, 26, 100, 32, 891, 27, 415, 540, 77, 93, 3212, 284, 415, 646, 963, 44, 291, 442, 225, 34, 32, 284, 442, 2065, 32, 6009, 26, 541, 27, 203, 589, 5651, 81, 14298, 81, 15144, 26, 3666, 711, 284, 442, 2065, 32, 6009, 2009, 14298, 81, 15144, 26, 100, 27, 436, 540, 328, 9224, 1130, 203, 589, 343, 12478, 81, 269, 81, 93, 26, 100, 30, 831, 30, 1411, 47, 34, 711, 284, 540, 280, 2065, 32, 302, 88, 955, 26, 100, 27, 2867, 93, 79, 284, 415, 540, 32, 891, 44, 291, 415, 1411, 610, 225, 34, 44, 324, 442, 540, 77, 34, 79, 474, 2065, 32, 1036, 26, 100, 77, 35, 10056, 517, 2065, 32, 751, 36, 26, 2356, 32, 16251, 26, 36, 30, 540, 32, 891, 474, 225, 35, 2610, 291, 4348, 1411, 610, 225, 35, 44, 324, 442, 2065, 32, 1036, 26, 100, 517, 2065, 32, 751, 36, 26, 2356, 32, 16251, 26, 36, 30, 540, 32, 891, 474, 225, 36, 2610, 291, 813, 44, 324, 3636, 10091, 463, 1959, 2298, 526, 225, 34, 556, 225, 35, 11834, 284, 442, 225, 34, 32, 203, 589, 310, 3455, 89, 81, 269, 81, 93, 26, 100, 30, 831, 30, 1411, 47, 34, 711, 284, 343, 12478, 81, 1449, 280, 343, 12478, 81, 269, 81, 93, 26, 11939, 26, 100, 30, 10156, 47, 1815, 471, 831, 30, 1411, 27, 284, 415, 646, 343, 12478, 81, 1449, 44, 291, 442, 225, 34, 32, 284, 442, 343, 12478, 81, 269, 81, 93, 26, 100, 30, 831, 30, 1411, 27, 517, 343, 12478, 81, 1449, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 9, 10, 9, 10, 9, 8, 7, 6, 5, 2, 2, 3, 6, 6, 5, 5, 9, 8, 9, 8, 7, 7, 8, 6, 4, 4, 5, 6, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 8, 8, 8, 8, 8, 8, 9, 8, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 8, 7, 8, 7, 5, 5, 6, 2, 2, 4, 4, 7, 8, 7, 6, 5, 2, 2, 3, 4, 5, 6, 3, 3, 3, 5, 6, 6, 2, 2, 3, 5, 6, 5, 7, 6, 10, 9, 11, 9, 8, 8, 9, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 2, 2, 4, 4, 8, 9, 8, 9, 8, 6, 8, 6, 5, 5, 6, 2, 2, 3, 5, 6, 4, 4, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 8, 7, 8, 7, 5, 5, 6, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 8, 7, 7, 8, 8, 9, 7, 5, 6, 6, 6, 8, 10, 9, 10, 8, 5, 6, 7, 8, 7, 2, 2, 3, 4, 3, 3, 3, 5, 6, 6, 2, 2, 3, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 8, 8, 8, 8, 9, 8, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 4, 4, 7, 8, 8, 8, 7, 8, 7, 5, 7, 5, 2, 2, 3, 4, 5, 3, 3, 3, 5, 6, 6, 7, 5, 5, 5, 7, 9, 10, 9, 8, 8, 10, 11, 10, 13, 12, 14, 13, 11, 11, 13, 14, 14, 13, 16, 15, 16, 15, 16, 15, 15, 17, 18, 16, 16, 17, 15, 5, 5, 6, 7, 7, 8, 6, 6, 6, 8, 10, 11, 10, 12, 11, 11, 13, 14, 14, 13, 16, 15, 16, 15, 16, 15, 15, 17, 18, 16, 16, 17, 15, 5, 5, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 9, 10, 8, 6, 6, 6, 6, 2, 2, 3, 4, 5, 5, 5, 3, 3, 3, 5, 6, 6, 2, 2, 3, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 4, 4, 3, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 4, 4, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 2, 1, 1, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 3, 1, 2, 1, 4, 4, 2, 1, 2, 2, 2, 0, 1, 1, 4, 4, 3, 0, 2, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 7, 7, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 4, 4, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 3, 3, 2, 1, 0, 0, 4, 1, 1, 2, 4, 4, 4, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 3, 3, 2, 1, 0, 0, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 4, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 9, 9, 0, 0, 1, 1, 1, 1 ]
[ 465, 2322, 203, 465, 15798, 203, 1070, 8745, 32, 850, 81, 605, 81, 761, 1188, 1491, 81, 410, 81, 955, 203, 1070, 22311, 32, 16294, 81, 3323, 1188, 3844, 203, 6177, 81, 3197, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 203, 823, 14621, 285, 5206, 18587, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 3323, 81, 1536, 26, 784, 711, 291, 1417, 280, 1491, 81, 410, 81, 955, 26, 500, 32, 983, 32, 2524, 26, 6177, 81, 3197, 30, 330, 605, 35, 32, 605, 2847, 291, 1417, 280, 3844, 26, 955, 27, 291, 1424, 280, 428, 40, 39, 30, 225, 41, 40, 30, 225, 42, 40, 30, 225, 35, 35, 37, 30, 225, 35, 38, 34, 30, 225, 38, 35, 41, 30, 225, 38, 38, 38, 30, 225, 38, 38, 39, 30, 225, 39, 40, 41, 30, 225, 39, 42, 43, 30, 225, 40, 37, 41, 30, 225, 40, 38, 41, 30, 225, 41, 34, 36, 30, 225, 42, 40, 38, 30, 225, 43, 40, 43, 79, 291, 630, 32, 5299, 26, 2358, 30, 1417, 27, 284, 665, 894, 81, 3323, 81, 45195, 26, 784, 711, 291, 1417, 280, 1491, 81, 410, 81, 955, 26, 500, 32, 983, 32, 2524, 26, 6177, 81, 3197, 30, 330, 605, 35, 32, 605, 2847, 291, 1417, 280, 3844, 26, 955, 30, 330, 9579, 683, 291, 1424, 280, 428, 40, 39, 30, 225, 41, 40, 30, 225, 42, 40, 30, 225, 35, 35, 37, 30, 225, 35, 38, 34, 30, 225, 38, 35, 41, 30, 225, 38, 38, 38, 30, 225, 38, 38, 39, 30, 225, 39, 40, 41, 30, 225, 39, 42, 43, 30, 225, 40, 37, 41, 30, 225, 40, 38, 41, 30, 225, 41, 34, 36, 30, 225, 42, 40, 38, 30, 225, 43, 40, 43, 79, 291, 630, 32, 5299, 26, 2358, 30, 1417, 27, 284, 665, 894, 81, 3323, 81, 3801, 4013, 26, 784, 711, 291, 1417, 280, 1491, 81, 410, 81, 955, 26, 500, 32, 983, 32, 2524, 26, 6177, 81, 3197, 30, 330, 605, 35, 32, 605, 2847, 291, 1417, 280, 3844, 26, 955, 30, 330, 3801, 683, 291, 1424, 280, 428, 43, 40, 43, 30, 225, 42, 40, 38, 30, 225, 41, 34, 36, 30, 225, 40, 38, 41, 30, 225, 40, 37, 41, 30, 225, 39, 42, 43, 30, 225, 39, 40, 41, 30, 225, 38, 38, 39, 30, 225, 38, 38, 38, 30, 225, 38, 35, 41, 30, 225, 35, 38, 34, 30, 225, 35, 35, 37, 30, 225, 42, 40, 30, 225, 41, 40, 30, 225, 40, 39, 79, 291, 630, 32, 5299, 26, 2358, 30, 1417, 27, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 12, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 4, 4, 6, 6, 8, 9, 8, 4, 4, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 12, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 4, 4, 6, 6, 8, 9, 8, 8, 10, 10, 4, 4, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 12, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 4, 4, 6, 6, 8, 9, 8, 8, 10, 10, 4, 4, 6, 6, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 7, 2, 2, 9, 9, 9, 2, 2, 11, 11, 11, 2, 2, 13, 13, 13, 2, 2, 15, 15, 15, 2, 2, 17, 17, 17, 2, 2, 19, 19, 19, 2, 2, 21, 21, 21, 2, 2, 23, 23, 23, 2, 2, 25, 25, 25, 2, 2, 27, 27, 27, 2, 2, 29, 29, 29, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 7, 2, 2, 9, 9, 9, 2, 2, 11, 11, 11, 2, 2, 13, 13, 13, 2, 2, 15, 15, 15, 2, 2, 17, 17, 17, 2, 2, 19, 19, 19, 2, 2, 21, 21, 21, 2, 2, 23, 23, 23, 2, 2, 25, 25, 25, 2, 2, 27, 27, 27, 2, 2, 29, 29, 29, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 2, 7, 7, 7, 2, 2, 9, 9, 9, 2, 2, 11, 11, 11, 2, 2, 13, 13, 13, 2, 2, 15, 15, 15, 2, 2, 17, 17, 17, 2, 2, 19, 19, 19, 2, 2, 21, 21, 21, 2, 2, 23, 23, 23, 2, 2, 25, 25, 2, 2, 27, 27, 2, 2, 29, 29, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 1070, 20174, 525, 1786, 1188, 319, 203, 1070, 20174, 525, 1786, 1188, 1156, 1648, 505, 203, 823, 17446, 1972, 26, 29949, 711, 203, 202, 589, 544, 81, 1664, 26, 784, 711, 357, 202, 784, 32, 4531, 81, 1110, 710, 80, 7344, 31, 452, 31, 2175, 22, 785, 280, 9254, 4899, 30, 2467, 44, 630, 32, 17516, 81, 7344, 463, 525, 555, 1499, 32, 2175, 32, 508, 25844, 357, 202, 784, 32, 4531, 81, 1110, 710, 80, 7656, 31, 5860, 22, 785, 280, 630, 32, 575, 81, 7656, 81, 5860, 357, 202, 784, 32, 4531, 81, 1110, 710, 80, 3893, 22, 785, 280, 630, 32, 575, 81, 3893, 357, 202, 784, 32, 8358, 81, 4531, 81, 1110, 710, 33, 17316, 785, 280, 630, 32, 8358, 81, 17316, 203, 202, 589, 736, 81, 7656, 81, 5860, 26, 784, 30, 2467, 711, 357, 202, 1436, 280, 323, 25, 8279, 10896, 14351, 100, 78, 96, 78, 100, 78, 96, 25, 357, 202, 784, 32, 2714, 81, 1986, 26, 36, 34, 34, 27, 357, 202, 784, 32, 2714, 81, 2111, 463, 1777, 31, 620, 370, 330, 878, 33, 7355, 683, 357, 202, 784, 32, 2714, 81, 2111, 463, 1777, 31, 2380, 370, 2069, 26, 1436, 490, 357, 202, 784, 32, 416, 81, 5078, 346, 357, 202, 784, 32, 105, 761, 32, 1821, 26, 1436, 27, 357, 202, 601, 203, 202, 589, 16215, 81, 17316, 26, 784, 30, 1202, 30, 706, 711, 357, 202, 601, 35617, 2524, 26, 1110, 26, 5962, 816, 44, 21749, 26, 655, 26, 106, 27, 5304, 1202, 471, 706, 490, 203, 202, 589, 736, 81, 3893, 26, 784, 30, 2467, 711, 357, 202, 13225, 3268, 463, 578, 438, 600, 3756, 30, 24237, 1289, 307, 22735, 203, 589, 2575, 2262, 203, 202, 1216, 440, 17498, 5068, 2059, 1503, 44, 301, 34, 16054, 1643, 4064, 1648, 28154, 203, 202, 7490, 32, 10579, 463, 1814, 34318, 26, 7490, 32, 2897, 27, 203, 202, 4466, 81, 751, 81, 4531, 280, 5741, 32, 1862, 1972, 346, 203, 202, 4466, 81, 751, 81, 4531, 32, 34318, 26, 7490, 32, 1589, 27, 203, 202, 4466, 81, 751, 81, 4531, 32, 470, 8736, 26, 7490, 32, 8736, 4912, 26, 302, 27749, 27, 101, 18147, 2649, 426, 7824, 42, 101, 18147, 1436, 27, 101, 2131, 203, 202, 7490, 32, 10579, 463, 1814, 669, 1972, 26, 4466, 81, 751, 81, 4531, 27, 203, 202, 1786, 280, 24145, 5068, 2059, 26, 11575, 1972, 27, 203, 202, 1786, 32, 1786, 81, 1648, 280, 330, 17498, 5068, 2059, 11575, 25, 203, 202, 1270, 44, 357, 202, 1786, 32, 6455, 81, 1444, 424, 346, 203, 202, 7343, 21300, 19497, 44, 357, 202, 1786, 32, 16080, 346, 203, 202, 601, 225, 34, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 203, 202, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 4, 4, 4, 5, 4, 3, 3, 9, 8, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 8, 7, 7, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 9, 8, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 8, 8, 8, 8, 4, 4, 9, 8, 9, 9, 9, 7, 9, 9, 9, 9, 6, 6, 7, 8, 8, 8, 4, 4, 9, 8, 9, 9, 9, 9, 9, 7, 9, 9, 9, 6, 6, 7, 8, 8, 8, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 10, 9, 4, 4, 8, 7, 8, 8, 8, 7, 4, 4, 9, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 5, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 8, 7, 9, 9, 10, 10, 10, 10, 12, 15, 15, 16, 15, 13, 13, 12, 9, 9, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 1, 1, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 8, 2, 2, 8, 7, 8, 7, 9, 6, 5, 7, 6, 7, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 6, 6, 6, 6, 6, 5, 6, 5, 7, 6, 7, 5, 2, 2, 6, 6, 6, 6, 6, 5, 6, 6, 5, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 8, 7, 8, 7, 9, 6, 6, 5, 6, 6, 6, 6, 6, 5, 2, 2, 5, 4, 4, 6, 6, 6, 7, 7, 6, 2, 2, 6, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 3, 3, 3, 8, 7, 8, 8, 8, 8, 7, 3, 3, 4, 4, 5, 4, 4, 4, 9, 8, 9, 8, 2, 2, 3, 3, 4, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 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 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 6, 4, 4, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 8, 8, 8, 8, 0, 0, 2, 2, 2, 2, 1, 8, 8, 3, 3, 1, 3, 3, 3, 0, 0, 2, 1, 4, 4, 9, 9, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1361, 15613, 203, 465, 5237, 203, 465, 316, 203, 823, 19178, 1822, 83, 599, 1227, 1729, 2262, 284, 477, 17614, 284, 665, 9843, 81, 928, 26, 784, 30, 1628, 711, 291, 1628, 280, 1628, 32, 38848, 346, 291, 17355, 81, 928, 280, 630, 32, 5538, 81, 5460, 26, 928, 27, 415, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 225, 34, 27, 813, 1628, 291, 17355, 81, 928, 280, 316, 32, 1113, 26, 100, 10255, 34, 37, 37, 24573, 4987, 86, 109, 35, 30, 36, 111, 95, 12302, 86, 78, 105, 7243, 2550, 596, 26, 18565, 81, 928, 490, 291, 442, 17355, 81, 928, 474, 2706, 96, 20, 284, 477, 17614, 284, 665, 7650, 81, 5460, 26, 784, 30, 1344, 711, 291, 1596, 44, 324, 1344, 280, 1344, 32, 5460, 463, 3310, 31, 42, 683, 291, 2940, 23174, 11867, 924, 44, 324, 415, 1361, 15613, 32, 5134, 346, 610, 313, 5910, 563, 400, 1344, 280, 630, 32, 5460, 81, 5910, 81, 928, 26, 878, 27, 291, 442, 1344, 284, 477, 17614, 284, 665, 9843, 81, 5910, 81, 928, 26, 784, 30, 1344, 711, 291, 1188, 11259, 30, 16539, 291, 11504, 670, 280, 16539, 32, 45606, 14141, 380, 2219, 3439, 9073, 47, 1815, 30, 12532, 47, 27958, 32, 18165, 27, 291, 308, 380, 2219, 30, 15084, 280, 11504, 670, 32, 508, 48275, 346, 291, 663, 2219, 280, 663, 2219, 32, 5460, 26, 6921, 32, 371, 29340, 8644, 4251, 7201, 346, 291, 663, 2219, 280, 663, 2219, 32, 2998, 440, 313, 5594, 31, 35, 79, 291, 442, 1344, 32, 5460, 440, 2219, 20, 474, 663, 2219, 27, 284, 477, 17614, 284, 665, 9336, 81, 2416, 81, 2501, 26, 784, 30, 2016, 711, 291, 438, 81, 1113, 15613, 81, 36, 81, 363, 81, 266, 81, 5910, 280, 1361, 15613, 32, 5134, 346, 610, 313, 5910, 20, 461, 629, 26, 1113, 15613, 32, 1648, 1157, 333, 225, 37, 34, 34, 34, 291, 442, 2016, 32, 4434, 26, 3731, 32, 371, 18290, 8644, 1157, 415, 438, 81, 1113, 15613, 81, 36, 81, 363, 81, 266, 81, 5910, 813, 2016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 9, 10, 9, 5, 5, 8, 8, 7, 7, 10, 11, 11, 11, 10, 11, 10, 8, 8, 10, 11, 11, 11, 9, 9, 11, 10, 10, 11, 10, 8, 8, 5, 5, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 12, 12, 12, 11, 5, 5, 6, 8, 8, 7, 7, 10, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 6, 6, 9, 9, 11, 12, 11, 13, 13, 13, 13, 6, 6, 7, 8, 8, 7, 7, 7, 9, 13, 12, 13, 12, 10, 10, 12, 12, 9, 9, 12, 12, 14, 15, 15, 15, 15, 15, 14, 15, 14, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 8, 7, 7, 9, 10, 9, 12, 12, 12, 9, 10, 11, 9, 9, 10, 12, 11, 12, 9, 5, 5, 9, 9, 8, 8, 7, 7, 10, 9, 10, 10, 9, 5, 5, 8, 7, 7, 12, 11, 12, 11, 14, 13, 14, 14, 14, 13, 10, 9, 5, 5, 8, 7, 7, 11, 10, 11, 10, 12, 10, 9, 10, 8, 5, 5, 6, 8, 9, 8, 11, 11, 9, 9, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 12, 11, 12, 11, 9, 9, 11, 11, 8, 8, 11, 14, 14, 13, 14, 13, 9, 9, 10, 10, 10, 10, 5, 5, 6, 9, 10, 9, 12, 11, 12, 12, 12, 11, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 1, 1, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 4, 4, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 0, 2, 2, 1, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 4, 4, 5, 0, 2, 1, 1, 2, 1, 1, 2, 1, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 23978, 203, 1070, 23978, 32, 22457, 1188, 319, 203, 465, 45977, 203, 465, 2322, 203, 465, 3995, 203, 465, 1671, 203, 465, 5237, 203, 5857, 81, 6258, 280, 11009, 26, 34, 30, 225, 34, 30, 225, 40, 38, 34, 30, 225, 38, 42, 34, 27, 203, 11061, 280, 225, 37, 36, 203, 10445, 30, 10765, 30, 6513, 30, 2418, 280, 225, 34, 30, 35, 30, 36, 30, 37, 203, 15707, 30, 28420, 280, 225, 34, 30, 225, 35, 261, 280, 225, 34, 32, 34, 34, 39, 225, 588, 225, 13679, 15993, 24430, 16441, 203, 12512, 34, 30, 35, 41, 43, 30, 35, 38, 39, 27, 225, 588, 8323, 257, 23002, 18824, 23002, 2497, 37664, 8610, 11757, 203, 762, 311, 23978, 32, 1664, 346, 203, 107, 3626, 32, 2751, 32, 470, 81, 2816, 26, 5857, 81, 6258, 32, 891, 27, 284, 23978, 32, 2751, 32, 470, 81, 8016, 26, 103, 20, 4997, 5735, 57, 225, 36, 38, 225, 1624, 137, 3318, 14604, 12068, 3755, 657, 284, 588, 24547, 12815, 23290, 3318, 9265, 14194, 284, 2454, 81, 37468, 440, 605, 392, 313, 10069, 32, 2901, 657, 284, 588, 9481, 260, 25329, 380, 9510, 440, 605, 392, 313, 1594, 867, 639, 32, 2901, 657, 284, 588, 8323, 257, 23002, 18824, 6500, 2901, 657, 284, 588, 8323, 257, 23002, 5577, 7076, 11805, 5364, 868, 116, 2683, 22341, 284, 1992, 280, 3516, 440, 1495, 657, 664, 308, 35, 30, 35, 471, 29886, 27, 284, 1992, 32, 669, 81, 1594, 83, 26, 3840, 27, 284, 588, 45226, 89, 482, 346, 284, 588, 45226, 40679, 12815, 11552, 23290, 12815, 284, 3124, 37658, 280, 4578, 1669, 26, 4367, 26, 35, 38, 34, 30, 37, 37, 38, 30, 37, 40, 34, 30, 35, 38, 34, 471, 3124, 81, 3483, 27, 284, 588, 30028, 35115, 12815, 11552, 23290, 12815, 203, 288, 26, 35, 40, 30, 35, 40, 30, 36, 35, 40, 30, 35, 40, 34, 471, 3124, 81, 3483, 27, 284, 7375, 274, 2933, 44, 291, 9766, 32, 10727, 26, 40, 34, 27, 291, 415, 646, 3124, 37658, 32, 297, 81, 7891, 600, 351, 1992, 32, 1877, 346, 291, 3124, 37658, 32, 1877, 346, 291, 3401, 280, 11648, 81, 2881, 26, 3840, 27, 291, 1992, 32, 3887, 26, 4458, 30, 3401, 27, 291, 3124, 37658, 32, 3887, 26, 4458, 27, 291, 4774, 37658, 32, 3887, 26, 4458, 27, 291, 2519, 81, 1338, 26, 4458, 30, 3124, 81, 3483, 30, 4362, 30, 1992, 27, 225, 588, 31757, 14750, 6500, 10763, 22993, 3318, 16352, 6273, 3832, 11565, 291, 23978, 32, 2751, 32, 1877, 346, 291, 436, 1692, 328, 23978, 32, 1567, 32, 371, 2262, 324, 415, 1692, 32, 681, 610, 1910, 19395, 44, 400, 5237, 32, 4775, 346, 324, 415, 1692, 32, 681, 610, 5578, 10445, 461, 1692, 4775, 346, 324, 588, 40939, 31471, 12815, 11552, 23290, 12815, 3832, 36259, 27916, 7270, 5364, 23481, 15703, 47544, 23290, 7463, 3318, 28436, 324, 415, 4774, 37658, 32, 297, 81, 7891, 44, 400, 4774, 37658, 81, 4531, 26, 1567, 30, 4774, 37658, 30, 3124, 37658, 30, 4362, 30, 1992, 27, 324, 4348, 3124, 37658, 32, 297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 0, 3, 2, 2, 3, 3, 0, 4, 3, 4, 3, 4, 3, 4, 2, 2, 4, 3, 4, 3, 4, 3, 4, 0, 4, 3, 3, 2, 2, 4, 3, 3, 5, 4, 4, 3, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 4, 4, 4, 3, 0, 5, 5, 5, 5, 3, 4, 4, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 3, 2, 4, 6, 6, 2, 0, 2, 1, 0, 0, 0, 0, 0, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 2, 4, 4, 6, 6, 7, 7, 7, 6, 6, 7, 5, 5, 5, 5, 4, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 4, 3, 0, 0, 0, 1, 2, 20, 20, 20, 20, 20, 19, 19, 19, 18, 19, 16, 16, 16, 16, 18, 18, 17, 17, 14, 16, 16, 16, 15, 16, 16, 16, 16, 16, 16, 13, 13, 15, 15, 15, 14, 14, 14, 13, 14, 14, 14, 14, 14, 13, 14, 11, 11, 13, 12, 12, 12, 12, 9, 11, 9, 10, 10, 10, 7, 7, 7, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 8, 8, 7, 7, 6, 3, 3, 5, 5, 3, 7, 7, 7, 6, 7, 7, 7, 7, 7, 5, 6, 6, 5, 1, 1, 1, 1, 4, 7, 7, 7, 5, 5, 5, 4, 4, 9, 9, 8, 8, 3, 3, 3, 4, 8, 8, 7, 8, 6, 6, 7, 5, 5, 7, 4, 4, 4, 5, 5 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 4, 0, 6, 0, 0, 0, 2, 2, 2, 4, 2, 6, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 3, 3, 3, 3, 3, 0, 0, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 0, 0, 0, 0, 12, 2, 2, 12, 0, 0, 13, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 0, 0, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 0, 0, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 28, 28, 28, 28, 28, 0, 0, 0, 0, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 7, 3, 3, 3, 3, 1, 0, 31, 31, 31, 31, 31, 31, 31, 1, 3, 5, 5, 33, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 37, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 3, 3, 1, 1, 0, 0, 0, 3, 1, 1, 0, 0, 0, 0, 1, 2, 3, 3, 3, 5, 5, 5, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 37, 37, 37, 37, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2 ]
[ 1070, 8566, 32, 1237, 1188, 308, 284, 1682, 30, 21418, 30, 22686, 11851, 30, 22686, 1810, 30, 23980, 30, 739, 81, 1536, 203, 27, 203, 1070, 931, 3509, 32, 1262, 32, 4214, 26240, 1188, 343, 81, 203, 1070, 638, 2435, 1188, 7813, 30, 15637, 2422, 203, 589, 15246, 6462, 2262, 284, 645, 15246, 1188, 15246, 6462, 284, 442, 15246, 6462, 203, 823, 15637, 72, 10432, 8511, 26, 5392, 2422, 711, 284, 13317, 280, 22686, 11851, 26, 5962, 44, 676, 10432, 8511, 27, 284, 665, 739, 81, 9401, 26, 784, 30, 13100, 711, 291, 3636, 22210, 284, 665, 739, 81, 3169, 483, 26, 784, 30, 2908, 483, 711, 291, 3636, 22210, 284, 665, 2908, 26, 784, 711, 291, 3636, 22210, 203, 823, 676, 10432, 8511, 26, 2422, 711, 284, 13100, 280, 343, 5908, 11342, 1810, 26, 15814, 6462, 490, 284, 2908, 483, 280, 343, 5908, 720, 26, 11342, 1810, 26, 15814, 6462, 2610, 284, 420, 888, 81, 1644, 280, 739, 81, 1536, 463, 3617, 683, 284, 420, 888, 81, 2273, 280, 739, 81, 1536, 463, 3617, 683, 284, 7664, 280, 21418, 26, 5392, 72, 10432, 8511, 27, 284, 665, 2908, 26, 784, 711, 291, 415, 630, 32, 5866, 81, 297, 81, 2480, 44, 324, 630, 32, 5866, 32, 3169, 346, 284, 477, 24283, 463, 9401, 370, 330, 3169, 483, 683, 284, 665, 617, 1877, 81, 5866, 26, 784, 30, 1539, 711, 291, 2599, 26, 72, 10432, 8511, 30, 630, 42690, 1877, 81, 5866, 26, 2342, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 1, 1, 3, 3, 3, 5, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 7, 7, 7, 8, 8, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 8, 8, 8, 9, 9, 8, 2, 2, 5, 4, 4, 6, 8, 8, 10, 10, 10, 11, 11, 10, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 8, 8, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 8, 8, 2, 2, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 10, 11, 9, 10, 9, 2, 2, 6, 6, 8, 8, 6, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 9, 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 ]
[ 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, 1, 1, 0, 1, 2, 1, 4, 4, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 0, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 1, 1, 2, 1, 1, 1, 2, 6, 6, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 323, 7174, 203, 465, 7744, 203, 465, 46032, 203, 465, 323, 978, 203, 465, 323, 1843, 203, 1070, 323, 978, 32, 2516, 1188, 16734, 203, 1070, 323, 978, 32, 2962, 1188, 319, 203, 1070, 638, 39223, 545, 338, 385, 81, 2846, 1188, 319, 203, 1070, 638, 39223, 545, 338, 385, 81, 4280, 1188, 319, 203, 1070, 638, 39223, 545, 338, 385, 81, 28762, 1188, 319, 203, 1070, 4377, 8239, 1188, 319, 203, 823, 26963, 12290, 2117, 792, 3655, 81, 1194, 81, 17381, 81, 18153, 31761, 81, 5010, 26, 7145, 711, 284, 3145, 81, 314, 426, 280, 313, 39223, 545, 338, 385, 32, 17381, 81, 18153, 31761, 81, 5010, 20, 284, 3145, 81, 1172, 280, 313, 21052, 25029, 31761, 11929, 20, 284, 3145, 81, 2184, 280, 3447, 18250, 392, 313, 16758, 3612, 284, 477, 17614, 284, 665, 17850, 26, 784, 30, 1619, 711, 291, 2197, 96, 280, 323, 978, 32, 1819, 32, 7608, 291, 442, 2197, 96, 32, 39223, 545, 338, 385, 32, 10333, 81, 2480, 81, 2848, 284, 665, 5742, 26, 784, 30, 1619, 711, 291, 2197, 96, 280, 1619, 32, 7608, 291, 2197, 96, 32, 39223, 545, 338, 385, 32, 1506, 21139, 81, 5010, 280, 3177, 291, 442, 3447, 48247, 3612, 284, 665, 11319, 26, 784, 30, 1619, 30, 1692, 711, 291, 442, 1619, 32, 3518, 81, 4018, 32, 7844, 81, 2962, 81, 5952, 26, 784, 27, 284, 665, 5171, 26, 784, 30, 1619, 711, 291, 2197, 96, 280, 1619, 32, 7608, 291, 6371, 280, 630, 32, 3086, 291, 6371, 32, 4641, 26, 545, 96, 32, 39223, 545, 338, 385, 30, 313, 18153, 31761, 81, 1287, 657, 284, 665, 1156, 1664, 3207, 784, 711, 291, 323, 978, 32, 1819, 32, 3518, 32, 7017, 81, 470, 440, 5807, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 5, 7, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 8, 7, 7, 10, 9, 10, 8, 9, 5, 5, 6, 9, 8, 9, 9, 9, 9, 7, 8, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 7, 8, 4, 4, 9, 8, 9, 9, 9, 9, 7, 8, 8, 8, 8, 6, 6, 4, 4, 5, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 7, 8, 4, 4, 6, 6, 7, 8, 4, 4, 7, 8, 7, 9, 9, 8, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 10, 9, 10, 8, 9, 7, 8, 8, 8, 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 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 10, 10, 0, 10, 10, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 1, 3, 3, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 4, 4, 2, 1, 2, 4, 4, 5, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 6, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 1, 2, 7, 7, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 465, 2322, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 5296, 16609, 32, 7491, 32, 4850, 4390, 32, 4882, 32, 1040, 1188, 15616, 81, 4116, 619, 2815, 81, 5172, 203, 1070, 5296, 16609, 32, 7491, 32, 13471, 32, 3378, 1188, 10634, 203, 1070, 3115, 32, 335, 1872, 5061, 32, 1237, 1188, 10634, 619, 4591, 203, 1070, 3115, 32, 335, 1872, 5061, 32, 4850, 4390, 1188, 7652, 81, 335, 1872, 5061, 81, 2645, 203, 3765, 81, 16799, 280, 330, 335, 1872, 5061, 31, 4850, 4390, 31, 1840, 3707, 31, 858, 25, 203, 823, 10634, 4764, 1006, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 31113, 550, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 605, 683, 291, 2815, 81, 5172, 26, 3765, 81, 16799, 27, 291, 436, 3894, 328, 10634, 32, 1170, 81, 4116, 26, 3765, 81, 16799, 711, 324, 3894, 32, 2560, 346, 284, 665, 894, 81, 1297, 81, 2645, 26, 784, 711, 291, 623, 2156, 26, 500, 32, 983, 32, 2524, 26, 784, 32, 31113, 550, 30, 330, 3287, 81, 2645, 32, 1260, 2847, 619, 296, 44, 324, 3894, 280, 4591, 32, 1070, 81, 1260, 26, 1260, 32, 12474, 26, 88, 32, 850, 5156, 291, 6233, 1872, 5061, 81, 2645, 280, 7652, 81, 335, 1872, 5061, 81, 2645, 26, 3765, 81, 16799, 30, 1665, 30, 3894, 27, 291, 630, 32, 5299, 26, 335, 1872, 5061, 81, 2645, 32, 426, 30, 3894, 32, 426, 27, 291, 630, 32, 5299, 26, 335, 1872, 5061, 81, 2645, 32, 2645, 81, 681, 30, 3894, 32, 681, 27, 291, 630, 32, 5299, 26, 335, 1872, 5061, 81, 2645, 32, 17155, 30, 3894, 32, 17155, 27, 291, 630, 32, 5299, 26, 335, 1872, 5061, 81, 2645, 32, 16457, 30, 3894, 32, 16457, 27, 291, 630, 32, 5299, 26, 335, 1872, 5061, 81, 2645, 32, 2544, 30, 3894, 32, 2544, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 8, 10, 10, 4, 4, 7, 7, 7, 8, 8, 8, 7, 4, 4, 5, 5, 5, 7, 8, 8, 8, 7, 8, 8, 8, 7, 5, 5, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 14, 13, 14, 12, 13, 12, 14, 13, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 8, 8, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 13, 12, 13, 12, 15, 14, 15, 14, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 7, 8, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 1, 6, 1, 8, 3, 3, 0, 0, 3, 3, 2, 2, 0, 4, 4, 0, 1, 2, 1, 4, 1, 6, 4, 4, 0, 5, 5, 1, 2, 2, 2, 1, 4, 5, 5, 3, 3, 0, 6, 6, 1, 2, 2, 2, 1, 4, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 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 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 465, 2322, 203, 1433, 1515, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 48271, 4064, 761, 505, 5594, 34, 5259, 203, 8022, 81, 983, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 27203, 2131, 203, 465, 5237, 203, 28856, 2544, 81, 1515, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 27203, 392, 27203, 2131, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 33162, 2544, 81, 1515, 27, 203, 1647, 81, 426, 280, 2322, 32, 983, 32, 48271, 26, 500, 32, 983, 32, 15705, 4064, 761, 28154, 77, 34, 79, 203, 1070, 540, 2966, 352, 1188, 2364, 2795, 30, 11935, 30, 1505, 81, 325, 81, 9689, 431, 332, 30, 11588, 30, 12793, 81, 761, 30, 8565, 81, 1216, 541, 30, 8565, 81, 1945, 203, 465, 15798, 203, 465, 22977, 203, 1270, 44, 284, 645, 44524, 1188, 44524, 203, 7343, 44, 284, 645, 3363, 1188, 44524, 203, 589, 47122, 81, 761, 81, 4658, 26, 2024, 81, 761, 711, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 2024, 81, 761, 711, 291, 442, 2933, 30, 313, 9085, 803, 904, 101, 20, 904, 1688, 81, 761, 284, 813, 44, 291, 442, 3177, 30, 313, 974, 904, 101, 5375, 20, 904, 1688, 81, 761, 203, 50, 1526, 2795, 26, 11251, 81, 761, 26, 500, 32, 983, 32, 2524, 26, 1433, 1515, 30, 313, 2795, 35, 81, 14704, 32, 4555, 14036, 203, 50, 13449, 21145, 500, 32, 983, 32, 2524, 26, 1433, 1515, 30, 313, 2795, 35, 81, 14704, 32, 4555, 3830, 1130, 203, 50, 1553, 81, 325, 81, 9689, 431, 332, 26, 34652, 81, 761, 81, 4658, 27, 203, 589, 2899, 35, 26, 106, 711, 284, 3097, 203, 50, 10756, 101, 26, 2795, 35, 27, 262, 203, 50, 1526, 2795, 26, 11251, 81, 761, 26, 500, 32, 983, 32, 2524, 26, 1433, 1515, 30, 313, 2795, 36, 81, 14704, 32, 4555, 14036, 203, 50, 13449, 21145, 500, 32, 983, 32, 2524, 26, 1433, 1515, 30, 313, 2795, 36, 81, 14704, 32, 4555, 3830, 1130, 203, 50, 1553, 81, 325, 81, 9689, 431, 332, 26, 34652, 81, 761, 81, 4658, 27, 203, 589, 2899, 36, 26, 106, 711, 284, 3097, 203, 823, 2108, 81, 2947, 486, 352, 26, 18986, 32, 7233, 711, 284, 665, 745, 81, 31196, 29583, 16197, 308, 784, 30, 894, 81, 466, 30, 316, 81, 466, 711, 291, 1188, 316, 291, 415, 316, 32, 1903, 26, 268, 81, 466, 30, 894, 81, 466, 27, 438, 646, 1665, 44, 324, 3636, 34835, 440, 29583, 14995, 44, 904, 100, 2431, 328, 904, 100, 20, 904, 308, 268, 81, 466, 30, 894, 81, 466, 490, 284, 665, 745, 81, 862, 29583, 16197, 308, 784, 30, 894, 81, 466, 30, 316, 81, 466, 711, 291, 1188, 316, 291, 415, 316, 32, 1903, 26, 268, 81, 466, 30, 894, 81, 466 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 11, 10, 11, 9, 10, 9, 10, 10, 9, 8, 7, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 6, 8, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 6, 8, 6, 8, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 4, 4, 4, 3, 0, 3, 3, 3, 2, 2, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 3, 4, 3, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 3, 3, 5, 6, 6, 9, 9, 9, 9, 9, 7, 7, 8, 8, 3, 3, 4, 4, 4, 6, 7, 7, 10, 10, 10, 10, 10, 8, 8, 9, 9, 0, 2, 4, 4, 4, 6, 6, 6, 6, 10, 9, 10, 8, 9, 8, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 1, 2, 4, 4, 10, 9, 10, 8, 9, 8, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 5, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 1, 2, 2, 3, 3, 4, 3, 2, 2, 0, 2, 4, 4, 4, 5, 5, 4, 1, 1, 2, 4, 4, 4, 6, 6, 6, 6, 10, 9, 10, 8, 9, 8, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 1, 2, 4, 4, 10, 9, 10, 8, 9, 8, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 5, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 1, 2, 2, 3, 3, 4, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 4, 4, 5, 8, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 6, 6, 6, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 11, 11, 12, 12, 11, 2, 2, 3, 4, 4, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 4, 4, 5, 8, 9, 8, 9, 9, 9, 8, 8, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 10, 10, 0, 11, 11, 0, 12, 12, 12, 12, 0, 0, 0, 12, 3, 3, 3, 3, 0, 0, 0, 0, 13, 13, 1, 1, 1, 1, 2, 1, 1, 1, 2, 13, 13, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 14, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 14, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 14, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 15, 15, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 15, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 15, 4, 4, 1, 2, 1, 2, 4, 4, 0, 16, 16, 1, 1, 1, 1, 2, 0, 1, 2, 2, 16, 16, 0, 1, 1, 1, 1, 0, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 1, 1, 0, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3 ]
[ 1070, 48885, 38, 1188, 10701, 2852, 30, 34031, 203, 1070, 17648, 5623, 2136, 1467, 90, 1188, 26928, 5623, 2136, 203, 1070, 28071, 483, 1599, 1188, 4389, 34150, 1599, 203, 1070, 39909, 775, 24670, 1599, 1188, 947, 265, 775, 24670, 1599, 203, 1270, 44, 284, 617, 1070, 17997, 42, 280, 10701, 2852, 32, 16606, 32, 1070, 17997, 42, 203, 7343, 29316, 44, 284, 617, 1070, 17997, 42, 280, 9254, 309, 44, 309, 203, 823, 27178, 81, 21162, 5623, 18879, 26, 1473, 711, 284, 665, 4705, 10816, 26, 784, 30, 26928, 5623, 18879, 711, 291, 26928, 5623, 18879, 32, 23725, 2176, 1070, 17997, 42, 440, 21162, 5623, 18879, 2131, 291, 26928, 5623, 18879, 32, 8510, 26, 35, 36, 34, 34, 30, 41, 34, 34, 27, 291, 630, 32, 3518, 280, 26928, 5623, 18879, 291, 4269, 280, 34031, 32, 67, 2913, 346, 291, 4269, 32, 669, 44061, 26, 37571, 32, 17358, 782, 1110, 2176, 1070, 17997, 42, 33188, 1566, 83, 32, 1645, 12941, 34031, 32, 67, 2913, 32, 5947, 30, 34031, 32, 67, 2913, 32, 2527, 27, 291, 26928, 5623, 18879, 32, 18476, 2913, 26, 1566, 27, 291, 630, 32, 15785, 3854, 280, 34031, 32, 40079, 26, 21162, 5623, 18879, 27, 291, 630, 32, 15785, 3854, 32, 23725, 2176, 1070, 17997, 42, 440, 15785, 3854, 2131, 291, 630, 32, 968, 775, 24670, 81, 668, 280, 1605, 291, 630, 32, 29962, 81, 38, 280, 34031, 32, 40215, 30432, 26, 784, 32, 15785, 3854, 27, 291, 630, 32, 29962, 81, 38, 32, 23725, 2176, 1070, 17997, 42, 440, 29962, 81, 38, 2131, 291, 630, 32, 29962, 81, 37, 280, 34031, 32, 40215, 30432, 346, 291, 630, 32, 29962, 81, 37, 32, 23725, 2176, 1070, 17997, 42, 440, 29962, 81, 37, 2131, 291, 630, 32, 32090, 81, 37, 280, 34031, 32, 33308, 30432, 346, 291, 630, 32, 32090, 81, 37, 32, 23725, 2176, 1070, 17997, 42, 440, 32090, 81, 37, 2131, 291, 630, 32, 292, 1651, 3999, 13746, 280, 34031, 32, 2150, 814, 26, 784, 32, 15785, 3854, 27, 291, 630, 32, 292, 1651, 3999, 13746, 32, 23725, 2176, 1070, 17997, 42, 440, 292, 1651, 3999, 13746, 2131, 291, 630, 32, 32090, 81, 37, 32, 21857, 26, 784, 32, 292, 1651, 3999, 13746, 27, 291, 630, 32, 292, 1651, 1599, 280, 4389, 34150, 1599, 26, 784, 32, 15785, 3854, 27, 291, 630, 32, 32090, 81, 37, 32, 21857, 26, 784, 32, 292, 1651, 1599, 27, 291, 630, 32, 29962, 280, 34031, 32, 40215, 30432, 346, 291, 630, 32, 29962, 32, 23725, 2176, 1070, 17997, 42, 440, 29962, 2131, 291, 630, 32, 2562, 1103, 1331, 1651, 280, 34031, 32, 67, 34233, 26, 784, 32, 15785, 3854, 27, 291, 630, 32, 2562, 1103, 1331, 1651, 32, 34698, 1250, 26, 30609, 32, 32207, 26, 41, 35, 30, 225, 36, 41, 490, 291, 630, 32, 2562, 1103, 1331, 1651, 32, 23725, 2176, 1070, 17997, 42, 440, 2562, 1103, 1331, 1651, 2131, 291, 630, 32, 29962, 32, 21857, 26, 784, 32, 2562, 1103, 1331, 1651, 27, 291, 630, 32, 2562, 14504, 1331, 1651, 280, 34031, 32, 67, 34233, 26, 784, 32, 15785, 3854 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 5, 5, 5, 4, 4, 7, 6, 7, 5, 6, 6, 6, 1, 2, 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, 5, 4, 4, 5, 5, 4, 3, 3, 8, 8, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 4, 4, 8, 8, 7, 8, 7, 8, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 8, 7, 10, 9, 10, 10, 10, 9, 11, 11, 11, 11, 13, 13, 13, 13, 13, 7, 9, 10, 10, 8, 9, 7, 7, 9, 10, 10, 8, 9, 7, 4, 4, 8, 8, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 8, 9, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 8, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 10, 9, 10, 10, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 8, 9, 9, 9, 9, 7, 8, 8, 7, 10, 9, 10, 9, 10, 10, 9, 9, 10, 10, 9, 4, 4, 8, 9, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 2, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 3, 2, 1, 1, 0, 2, 2, 5, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2 ]
[ 465, 2361, 203, 465, 14465, 203, 465, 2322, 203, 1070, 7138, 1188, 7138, 30, 22158, 203, 1070, 16672, 1188, 7098, 2825, 203, 21, 481, 25267, 81, 1819, 280, 301, 203, 111, 203, 21, 13086, 81, 668, 280, 301, 284, 313, 13086, 563, 2149, 203, 111, 203, 433, 4792, 81, 668, 280, 428, 203, 79, 203, 21, 3968, 81, 965, 280, 330, 641, 555, 5501, 1396, 32, 933, 32, 716, 33, 605, 31, 3378, 22298, 25, 203, 25889, 81, 965, 280, 330, 641, 555, 5501, 1396, 31, 605, 3378, 32, 21168, 32, 716, 33, 272, 33, 5323, 22298, 25, 203, 21, 48899, 81, 965, 280, 330, 641, 555, 933, 32, 508, 33, 11061, 1400, 18298, 33, 7483, 2123, 31, 7118, 31, 10497, 33, 3006, 33, 2590, 33, 17146, 22298, 32, 954, 25, 203, 21, 18783, 81, 779, 280, 330, 641, 555, 5501, 1396, 32, 933, 32, 716, 33, 605, 31, 3378, 33, 2282, 31, 3968, 32, 1260, 40343, 17146, 33, 2216, 5541, 620, 25, 203, 589, 1491, 81, 1260, 26, 35380, 711, 284, 623, 2156, 26, 35380, 27, 619, 706, 81, 761, 44, 291, 706, 280, 2361, 32, 12474, 26, 605, 81, 761, 32, 850, 1157, 284, 442, 706, 203, 589, 2866, 81, 1260, 26, 605, 30, 28388, 711, 284, 623, 2156, 26, 21932, 30, 330, 105, 683, 619, 706, 81, 761, 44, 291, 706, 81, 761, 32, 1821, 26, 1260, 32, 16958, 26, 605, 30, 10525, 47, 38, 30, 3844, 81, 3494, 47, 1815, 490, 291, 706, 81, 761, 32, 1821, 5528, 96, 657, 203, 589, 2866, 81, 6045, 26, 605, 30, 28388, 711, 284, 623, 2156, 26, 21932, 30, 330, 105, 683, 619, 706, 81, 761, 44, 291, 706, 81, 761, 32, 1821, 26, 6045, 32, 5937, 26, 605, 490, 203, 433, 203, 589, 2290, 81, 1251, 26, 3968, 30, 1541, 81, 426, 711, 284, 1056, 280, 1665, 284, 415, 6937, 26, 3968, 30, 1149, 711, 291, 436, 1980, 328, 5365, 44, 324, 736, 280, 2290, 81, 1251, 26, 2386, 30, 1541, 81, 426, 27, 324, 415, 736, 438, 646, 1665, 44, 400, 1056, 280, 736, 400, 1626, 284, 4348, 6937, 26, 3968, 30, 5436, 711, 291, 436, 5809, 328, 5365, 44, 324, 415, 5809, 610, 1541, 81, 426, 44, 400, 1056, 280, 5365, 77, 3656, 79, 400, 1626, 324, 813, 44, 400, 736, 280, 2290, 81, 1251, 26, 3968, 77, 3656, 614, 1541, 81, 426, 27, 400, 415, 736, 438, 646, 1665, 44, 528, 1056, 280, 736, 528, 1626, 284, 442, 1056, 203, 433, 589, 6571, 81, 4642, 26, 3968, 711, 284, 4308, 280, 2290, 81, 1251, 26, 3968, 30, 330, 4642, 683, 284, 963, 280, 1605, 284, 415, 4308, 438, 1665, 44, 291, 442, 963, 284, 436, 298, 328, 4308, 44, 291, 415, 298, 863, 313, 681, 20, 461, 298, 863, 313, 314, 563, 324, 7018, 280, 5436, 346, 324, 7018, 710, 681, 785, 280, 330, 1653, 25, 324, 7018, 710, 426, 785, 280, 298, 324, 2488, 280, 2290, 81, 1251, 26, 4642, 77, 98, 614, 8493, 612, 683, 324, 415, 2488, 438, 646, 1665, 461, 2488, 610, 39969 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 8, 9, 8, 6, 6, 8, 8, 3, 3, 3, 6, 6, 8, 9, 8, 11, 11, 11, 10, 11, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 8, 9, 8, 8, 10, 10, 6, 6, 8, 8, 3, 3, 3, 8, 8, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 9, 4, 4, 8, 8, 7, 8, 7, 10, 9, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 8, 9, 8, 8, 10, 10, 6, 6, 8, 8, 3, 3, 3, 8, 8, 7, 8, 7, 10, 9, 10, 9, 10, 9, 0, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 3, 5, 6, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 8, 8, 10, 10, 10, 11, 10, 10, 11, 11, 10, 6, 6, 7, 8, 8, 8, 7, 7, 7, 10, 10, 8, 8, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 8, 9, 9, 10, 10, 8, 8, 8, 11, 11, 12, 13, 12, 9, 9, 8, 8, 9, 9, 9, 12, 12, 14, 14, 14, 16, 15, 16, 15, 14, 15, 15, 14, 10, 10, 11, 12, 12, 12, 11, 11, 11, 14, 14, 12, 12, 2, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 8, 8, 2, 2, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 5, 2, 2, 3, 3, 3, 3, 3, 3, 5, 7, 7, 9, 9, 6, 6, 7, 7, 9, 9, 5, 5, 8, 8, 10, 6, 6, 9, 11, 11, 8, 8, 10, 10, 6, 6, 9, 11, 11, 8, 8, 6, 6, 8, 8, 10, 10, 10, 12, 11, 12, 11, 10, 12, 12, 6, 6, 7, 9, 9, 9, 8, 8, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 6, 0, 7, 7, 7, 7, 7, 7, 0, 0, 1, 2, 0, 10, 10, 10, 1, 1, 1, 1, 1, 1, 10, 10, 0, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 4, 4, 1, 0, 16, 16, 1, 1, 2, 1, 2, 2, 2, 16, 16, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 2, 0, 17, 17, 1, 1, 2, 1, 2, 2, 2, 17, 17, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 18, 0, 19, 19, 1, 1, 2, 1, 2, 2, 3, 3, 2, 19, 19, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 1, 1, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 4, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 6, 1, 1, 6, 6, 6, 0, 4, 4, 7, 7, 7, 7, 7, 7, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 3, 3, 0, 1, 2, 0, 0, 1, 2, 3, 3, 0, 1, 2, 0, 0, 3, 3, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 3, 3, 4, 0, 0, 0, 1, 1, 2, 2 ]
[ 465, 2322, 203, 465, 26355, 203, 1070, 32625, 1188, 1123, 203, 1070, 32625, 1188, 5736, 203, 1070, 7450, 338, 325, 5729, 21549, 32, 1580, 1188, 1695, 81, 4545, 203, 1070, 7450, 338, 325, 5729, 21549, 32, 1580, 32, 4229, 1188, 2016, 928, 203, 1070, 7450, 338, 325, 5729, 21549, 32, 1580, 32, 4229, 1188, 44650, 203, 1070, 7450, 338, 325, 5729, 21549, 32, 1580, 32, 4229, 1188, 19271, 1146, 203, 4545, 32, 16583, 81, 2420, 463, 19883, 370, 2933, 30, 330, 4311, 17051, 1474, 11834, 203, 4545, 32, 16583, 81, 800, 26, 284, 330, 699, 370, 1665, 30, 330, 8650, 372, 793, 810, 1244, 6418, 4504, 81, 426, 1057, 103, 683, 203, 4545, 32, 16583, 81, 3868, 26, 284, 330, 1141, 370, 1665, 30, 2016, 928, 32, 2320, 81, 8750, 69, 32, 3494, 1026, 284, 330, 1711, 372, 4436, 308, 12227, 11066, 6071, 13027, 7243, 4504, 81, 426, 1057, 83, 683, 203, 4545, 32, 16583, 81, 800, 463, 7236, 370, 1665, 30, 330, 7595, 432, 6864, 683, 203, 4775, 81, 1517, 280, 225, 35, 203, 589, 1420, 81, 2501, 81, 928, 26, 699, 30, 2075, 711, 334, 415, 2075, 32, 3615, 81, 681, 610, 330, 10772, 36, 950, 284, 4774, 280, 2016, 928, 32, 22120, 17223, 36, 26, 2184, 32, 1786, 81, 965, 30, 952, 27, 334, 813, 44, 284, 3636, 22210, 463, 16746, 6207, 827, 44, 904, 101, 370, 4985, 2075, 32, 3615, 81, 681, 27, 334, 442, 4774, 32, 7083, 26, 2184, 32, 1141, 30, 2075, 32, 7236, 27, 203, 589, 1420, 81, 4692, 1146, 81, 8463, 26, 699, 30, 2075, 711, 334, 415, 2075, 32, 3615, 81, 681, 610, 330, 10772, 36, 950, 284, 17393, 280, 19271, 1146, 32, 7885, 39778, 26, 2184, 32, 1786, 81, 965, 30, 952, 27, 334, 813, 44, 284, 3636, 22210, 463, 16746, 6207, 827, 44, 904, 101, 370, 4985, 2075, 32, 3615, 81, 681, 27, 334, 4759, 280, 44650, 32, 936, 3566, 346, 334, 415, 646, 4759, 44, 284, 17393, 32, 4311, 8038, 924, 463, 9752, 646, 9921, 2032, 1171, 827, 683, 284, 442, 225, 35, 334, 4950, 15808, 81, 27611, 30, 617, 280, 4759, 32, 47990, 2185, 6795, 5332, 346, 334, 1596, 44, 284, 415, 15808, 81, 27611, 44, 397, 17393, 32, 28907, 6795, 18249, 26, 1517, 81, 4383, 47, 1517, 81, 4383, 27, 284, 813, 44, 397, 17393, 32, 18727, 6795, 18249, 26, 2184, 32, 19883, 30, 2287, 81, 4383, 47, 1517, 81, 4383, 27, 334, 2940, 3268, 619, 484, 44, 10065, 17393, 32, 4311, 8038, 924, 26, 87, 27, 284, 442, 225, 35, 334, 8295, 44, 284, 442, 4323, 81, 1517, 262, 203, 589, 2287, 81, 4383, 26, 1517, 711, 334, 3649, 4323, 81, 1517, 334, 415, 2287, 44, 284, 4323, 81, 1517, 280, 225, 34, 334, 813, 44, 284, 4323, 81, 1517, 280, 225, 35, 203, 50, 1439, 81, 4545, 32, 3297, 1761, 4629, 203, 589, 2575, 26, 2184, 711, 334, 415, 2075, 32, 699, 44, 284, 952, 280, 2075, 32, 699, 334, 813, 44, 284, 952, 280, 26355, 32, 371, 9734, 1890, 26, 500, 32, 371, 1890, 4251 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 3, 5, 5, 5, 5, 0, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 6, 6, 0, 4, 3, 4, 4, 4, 3, 3, 3, 5, 5, 3, 3, 3, 7, 6, 7, 7, 7, 7, 5, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 3, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 8, 3, 3, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 2, 2, 3, 5, 6, 5, 7, 6, 7, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 6, 6, 9, 8, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 8, 3, 3, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 3, 4, 3, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 2, 2, 5, 6, 6, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 3, 3, 5, 6, 6, 5, 5, 5, 9, 10, 10, 10, 9, 11, 11, 11, 10, 11, 11, 11, 9, 5, 5, 6, 6, 6, 10, 11, 11, 11, 10, 12, 11, 12, 10, 10, 12, 12, 11, 12, 12, 12, 10, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 9, 9, 8, 9, 8, 5, 5, 6, 7, 3, 3, 4, 4, 4, 6, 7, 7, 0, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 7, 3, 3, 4, 4, 4, 8, 8, 7, 7, 8, 0, 2, 4, 4, 4, 3, 4, 4, 4, 1, 2, 2, 3, 4, 3, 2, 2, 4, 5, 6, 4, 4, 4, 7, 7, 8, 9, 4, 4, 5, 5, 5, 8, 8, 11, 12, 12, 12, 11, 14, 13, 14, 14, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 0, 0, 0, 1, 2, 1, 4, 6, 6, 0, 7, 7, 0, 0, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 7, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 9, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 2, 2, 13, 13, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 1, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 14, 14, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 14, 14, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 4, 4, 4, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 4, 4, 4, 4, 4, 0, 1, 1, 0, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 16, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 465, 8527, 32, 12023, 32, 12243, 32, 4151, 32, 1260, 84, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 465, 8527, 32, 1199, 32, 3378, 32, 30550, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 2815, 280, 2933, 284, 6440, 280, 428, 291, 12522, 32, 1586, 44930, 81, 9277, 26, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 291, 2726, 4396, 81, 15636, 370, 330, 34, 34, 34, 36, 81, 2837, 81, 36, 34, 35, 40, 34, 39, 35, 39, 81, 34, 34, 35, 42, 1425, 291, 2726, 1286, 2516, 370, 330, 34, 34, 34, 36, 81, 2546, 81, 1286, 81, 681, 81, 426, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 10963, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 2837, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 4330, 370, 4549, 32, 10215, 26, 5006, 47, 1815, 3662, 400, 2726, 878, 370, 4549, 32, 10215, 26, 5006, 47, 1815, 3662, 400, 2726, 2751, 81, 878, 370, 4549, 32, 10215, 26, 5006, 47, 1815, 3662, 324, 2505, 324, 2075, 1279, 400, 330, 10529, 81, 426, 81, 25857, 950, 330, 24092, 370, 400, 330, 10529, 81, 426, 950, 330, 10963, 370, 324, 801, 291, 2588, 291, 12522, 32, 44563, 26, 324, 636, 1057, 28583, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 2837, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 878, 370, 4549, 32, 10215, 6182, 400, 2726, 1819, 370, 4549, 32, 10215, 6182, 400, 2726, 11365, 2236, 370, 4549, 32, 39471, 26, 1536, 47, 2700, 3662, 400, 2726, 10004, 370, 4549, 32, 13343, 26, 267, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 28781, 30, 372, 1057, 3734, 81, 4164, 32, 10963, 13356, 324, 2505, 324, 2075, 1279, 400, 330, 10529, 81, 426, 81, 25857, 950, 330, 2246, 15402, 370, 400, 330, 10529, 81, 426, 950, 330, 28583, 370, 324, 801, 291, 2588, 291, 12522, 32, 44563, 26, 324, 636, 1057, 3196, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 2837, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 2310, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 39, 34, 34, 3662, 400, 2726, 1473, 81, 314, 370, 4549, 32, 17991, 30400, 6182, 400, 2726, 1286, 81, 681, 370, 4549, 32, 13343, 26, 267, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 28781, 30, 372, 1057, 1286, 2516, 32, 14264, 13356, 324, 2505, 324, 2075, 1279, 400, 330, 10529, 81, 426, 81, 25857, 950, 330, 10937, 370, 400, 330, 10529, 81, 426, 950, 330, 3196, 370, 324, 801, 291, 2588, 291, 12522, 32, 44563, 26, 324, 636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 5, 5, 7, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 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, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 9, 9, 7, 7, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 9, 9, 7, 7, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 9, 9, 12, 12, 10, 12, 13, 12, 9, 9, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 18, 17, 18, 16, 17, 15, 16, 14, 15, 12, 12, 13, 15, 15, 15, 15, 15, 15, 9, 9, 7, 7, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 9, 9, 7, 7, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 13, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 18, 17, 18, 16, 17, 15, 16, 14, 15, 12, 12, 13, 15, 15, 15, 15, 15, 9, 9, 7, 7, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 9, 9, 7, 7, 5, 5, 7, 8, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 1, 8, 8, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 0, 5, 5, 2, 0, 1, 2, 2, 5, 5, 0, 0, 4, 4, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 5, 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, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 2, 3, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 5, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 7, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 2, 3, 0, 2, 1, 2, 2, 1, 2, 5, 0, 2, 1, 2, 2, 1, 1, 2, 7, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 9, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 5, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 7, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1 ]
[ 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 308, 1761, 1240, 1572, 30, 7400, 1761, 1240, 27, 261, 203, 1070, 8527, 32, 1262, 32, 24894, 1188, 18044, 7063, 203, 1070, 3756, 32, 3378, 1188, 2887, 81, 3893, 30, 2887, 81, 4133, 81, 6264, 81, 7026, 81, 20938, 81, 658, 81, 3893, 9841, 284, 2887, 81, 4133, 81, 1206, 81, 9031, 81, 3893, 203, 1070, 6042, 81, 1935, 1188, 6042, 81, 1935, 203, 465, 996, 15090, 81, 8239, 32, 2300, 203, 1070, 996, 15090, 81, 8239, 32, 8239, 1188, 4483, 81, 452, 81, 410, 30, 4450, 81, 104, 27482, 81, 2929, 81, 314, 30, 622, 81, 104, 27482, 81, 2929, 81, 314, 30, 766, 284, 622, 81, 104, 27482, 81, 1237, 81, 2929, 81, 314, 30, 11557, 81, 853, 81, 4658, 203, 1070, 996, 15090, 81, 3550, 32, 3378, 1188, 5630, 81, 1978, 81, 1376, 81, 15090, 81, 314, 81, 2135, 81, 104, 27482, 81, 5823, 30, 5630, 81, 2851, 81, 5665, 81, 314, 81, 4254, 203, 4073, 280, 996, 15090, 81, 8239, 32, 2300, 32, 371, 81, 4073, 4064, 426, 8223, 203, 823, 676, 27482, 1572, 26, 1761, 1240, 1572, 711, 284, 665, 1487, 81, 496, 26, 784, 30, 4096, 47, 2521, 30, 952, 47, 2521, 30, 3882, 47, 2521, 711, 291, 4096, 280, 630, 32, 12944, 81, 1935, 26, 1935, 27, 291, 1256, 280, 630, 32, 1160, 26, 1935, 47, 784, 32, 12944, 81, 1935, 26, 1935, 490, 291, 415, 952, 44, 324, 1256, 32, 4342, 81, 699, 280, 952, 291, 1256, 32, 470, 81, 2895, 26, 2895, 27, 291, 1256, 32, 2853, 26, 908, 47, 784, 1114, 1199, 27, 291, 442, 1256, 284, 665, 1487, 81, 39744, 26, 784, 30, 4096, 30, 3882, 711, 291, 1256, 280, 630, 32, 1297, 81, 496, 26, 1935, 30, 3882, 47, 2895, 27, 291, 1256, 32, 297, 81, 2300, 280, 2933, 291, 1256, 32, 2853, 26, 908, 47, 784, 1114, 1199, 27, 291, 442, 1256, 284, 665, 1487, 81, 104, 27482, 26, 784, 30, 4096, 47, 2521, 30, 3882, 47, 2521, 711, 291, 4096, 280, 630, 32, 12944, 81, 1935, 26, 1935, 27, 291, 4096, 81, 1206, 81, 1327, 280, 3177, 291, 3882, 81, 1206, 81, 1327, 280, 3177, 291, 18195, 265, 280, 676, 27482, 346, 291, 18195, 265, 81, 314, 280, 225, 34, 291, 1596, 44, 324, 415, 6042, 81, 1935, 26, 1935, 711, 400, 18195, 265, 32, 1935, 280, 4096, 324, 813, 44, 400, 4096, 81, 1206, 81, 1327, 280, 2933, 324, 415, 3882, 44, 400, 18195, 265, 32, 470, 81, 2895, 26, 2895, 27, 324, 813, 44, 400, 3882, 81, 1206, 81, 1327, 280, 2933, 324, 18195, 265, 32, 2853, 346, 324, 18195, 265, 81, 314, 280, 18195, 265, 32, 314, 291, 2940, 18195, 265, 32, 9191, 543, 924, 619, 484, 44, 324, 2887, 81, 4133, 81, 1206, 81, 9031, 81, 3893, 26, 87, 30, 4082, 47, 4073, 27, 324, 1596, 44, 400, 18195, 265, 32, 2853, 346, 400, 18195, 265, 81, 314, 280, 18195, 265, 32, 314, 324, 2940, 18195, 265, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 0, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 6, 6, 6, 5, 6, 4, 5, 5, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 9, 12, 11, 12, 12, 12, 11, 12, 11, 4, 4, 5, 5, 5, 5, 9, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 10, 9, 10, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 7, 9, 8, 10, 9, 10, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 7, 6, 6, 8, 8, 4, 4, 7, 7, 7, 6, 6, 7, 4, 4, 5, 5, 5, 7, 9, 9, 9, 10, 9, 7, 7, 12, 11, 12, 10, 10, 7, 7, 8, 8, 8, 12, 12, 12, 12, 11, 11, 6, 6, 7, 7, 7, 7, 12, 11, 12, 12, 12, 11, 12, 11, 7, 7, 8, 8, 8, 12, 12, 12, 12, 11, 11, 6, 6, 10, 9, 10, 9, 6, 6, 9, 9, 9, 8, 8, 10, 9, 10, 5, 5, 6, 9, 8, 9, 9, 9, 7, 7, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 11, 12, 10, 7, 7, 8, 8, 8, 13, 12, 13, 12, 9, 9, 12, 12, 12, 11, 11, 13, 12, 13, 8, 8, 9, 12, 11 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 1, 2, 0, 6, 6, 0, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 9, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 1, 1, 2, 9, 9, 0, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 5, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 3, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 4, 4, 5, 5, 5, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 5, 5, 3, 0, 0, 2, 2, 2, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 3, 3, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 3, 0, 0 ]
[ 1070, 281, 3359, 5172, 1188, 7663, 30, 4527, 203, 1070, 281, 3359, 5172, 32, 23351, 81, 4275, 1188, 10018, 924, 203, 1070, 1619, 1356, 1188, 1619, 4018, 203, 465, 1695, 40, 38, 203, 465, 5741, 203, 465, 2322, 203, 465, 5167, 203, 465, 6314, 203, 81, 8881, 81, 7095, 280, 2933, 203, 1270, 44, 284, 645, 298, 738, 896, 32, 9401, 1188, 26673, 203, 7343, 29986, 44, 284, 617, 8881, 81, 7095, 280, 3177, 203, 1270, 44, 284, 1188, 4281, 1260, 619, 2361, 203, 7343, 29986, 44, 284, 1188, 2361, 203, 751, 280, 5741, 32, 10579, 440, 29269, 32, 1664, 657, 203, 823, 2032, 3653, 26, 1473, 711, 284, 617, 6055, 81, 2668, 280, 225, 42, 319, 225, 35, 34, 36, 38, 284, 477, 17614, 284, 665, 438, 81, 8786, 81, 761, 26, 6933, 30, 296, 35, 30, 296, 36, 711, 291, 415, 19326, 26, 500, 32, 983, 30, 313, 8786, 761, 10280, 324, 442, 2322, 32, 983, 32, 8786, 761, 26, 88, 35, 30, 296, 36, 27, 291, 813, 44, 324, 442, 2322, 32, 983, 32, 7927, 1732, 26, 500, 32, 983, 32, 21379, 26, 88, 35, 490, 610, 2322, 32, 983, 32, 7927, 1732, 26, 500, 32, 983, 32, 21379, 26, 88, 36, 490, 284, 477, 17614, 284, 665, 8868, 81, 761, 81, 8078, 26, 6933, 30, 296, 35, 30, 296, 36, 711, 291, 415, 2322, 32, 983, 32, 371, 891, 26, 88, 35, 27, 863, 2322, 32, 983, 32, 371, 891, 26, 88, 36, 711, 324, 442, 3177, 291, 415, 9011, 32, 297, 81, 8786, 81, 761, 26, 88, 35, 30, 296, 36, 711, 324, 442, 2933, 291, 623, 803, 26, 88, 35, 30, 330, 4506, 683, 619, 11828, 35, 44, 324, 623, 803, 26, 88, 36, 30, 330, 4506, 683, 619, 11828, 36, 44, 400, 4845, 891, 280, 225, 42, 319, 225, 35, 34, 36, 38, 400, 2218, 2933, 44, 528, 323, 35, 280, 11828, 35, 32, 850, 26, 1954, 891, 27, 528, 323, 36, 280, 11828, 36, 32, 850, 26, 1954, 891, 27, 528, 415, 323, 35, 863, 323, 36, 44, 715, 442, 3177, 528, 415, 646, 323, 35, 44, 715, 442, 2933, 284, 665, 4871, 26, 784, 30, 2125, 30, 3796, 81, 1163, 711, 291, 2276, 81, 8968, 280, 1605, 291, 415, 646, 2125, 32, 3494, 2262, 324, 1245, 32, 2811, 440, 2023, 2276, 3191, 657, 324, 442, 2276, 81, 8968, 291, 436, 308, 3607, 30, 821, 19618, 27, 328, 8594, 26, 1141, 32, 40957, 1026, 1202, 47, 5962, 6092, 44, 6092, 77, 34, 10794, 324, 415, 646, 2322, 32, 983, 32, 297, 3596, 26, 3607, 711, 400, 3636, 10018, 924, 463, 974, 3191, 623, 2979, 31, 11148, 1519, 44, 904, 101, 25, 904, 4870, 27, 324, 803, 81, 297, 81, 1204, 280, 313, 2816, 20, 328, 821, 19618, 461, 6314, 32, 69, 81, 1296, 21767, 61, 26, 410, 26, 26372, 1365, 2816, 3439, 225, 42, 490, 324, 415, 803, 81, 297, 81, 1204, 44, 400, 415, 313, 1286, 20, 646, 328, 821, 19618, 44, 528, 3636, 10018, 924, 440, 48056, 2552, 3191, 2876, 312, 8050 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 5, 5, 4, 5, 3, 3, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 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, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 5, 5, 6, 6, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 4, 4, 6, 8, 10, 9, 10, 8, 8, 10, 10, 10, 6, 6, 8, 11, 12, 10, 11, 11, 10, 11, 11, 10, 10, 11, 10, 6, 6, 7, 7, 7, 9, 13, 14, 12, 13, 13, 12, 16, 15, 16, 14, 15, 14, 15, 15, 14, 10, 10, 13, 14, 12, 13, 13, 12, 16, 15, 16, 14, 15, 14, 15, 15, 14, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 4, 4, 6, 10, 11, 9, 10, 10, 9, 10, 10, 9, 7, 7, 10, 11, 9, 10, 10, 9, 10, 10, 9, 6, 6, 8, 5, 5, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 8, 8, 9, 8, 6, 6, 8, 5, 5, 6, 11, 12, 12, 11, 11, 13, 13, 9, 9, 11, 6, 6, 6, 8, 13, 14, 14, 13, 13, 15, 15, 11, 11, 13, 8, 8, 8, 12, 11, 11, 13, 12, 12, 13, 13, 13, 13, 9, 9, 10, 10, 10, 10, 14, 13, 13, 16, 15, 16, 15, 16, 16, 15, 11, 11, 14, 13, 13, 16, 15, 16, 15, 16, 16, 15, 11, 11, 12, 14, 13, 13, 14, 12, 12, 12, 14, 11, 11, 12, 13, 14, 12, 12, 12, 14, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 6, 8, 9, 8, 5, 5, 9, 10, 9, 11, 11, 11, 11, 6, 6, 7, 8, 8, 4, 4, 5, 7, 6, 6, 7, 6, 5, 5, 7, 10, 9, 10, 9, 7, 8, 9, 9, 9, 9, 10, 11, 10, 5, 5, 7, 8, 11, 12, 10, 11, 11, 10, 11, 10, 7, 7, 9, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 11, 6, 6, 9, 9, 9, 9, 8, 8, 12, 12, 10, 10, 11, 9, 9, 11, 12, 12, 12, 12, 12, 11, 13, 13, 15, 14, 16, 16, 13, 14, 13, 6, 6, 7, 8, 8, 8, 8, 7, 7, 7, 9, 12, 12, 10, 10, 10, 11, 9, 9, 9, 11, 13, 13, 15, 15, 15, 15, 15, 15 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 1, 2, 0, 0, 9, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 10, 10, 10, 10, 0, 0, 1, 1, 10, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 3, 1, 0, 0, 4, 4, 4, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 4, 4, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 2, 0, 1, 1, 2, 2, 2, 2, 0, 3, 3, 3, 1, 1, 3, 3, 3, 0, 4, 4, 3, 2, 1, 2, 2, 2, 2, 5, 5, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 4, 4, 2, 1, 1, 1, 3, 1, 2, 2, 1, 0, 0, 2, 1, 1, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 3, 1, 5, 5, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1 ]
[ 13411, 280, 330, 42, 88, 39, 84, 36, 34, 40, 40, 2500, 329, 25, 203, 1746, 81, 13411, 280, 330, 40, 43, 42, 1152, 34, 40, 40, 40, 35, 86, 40, 25, 203, 6586, 81, 5919, 280, 1665, 203, 27263, 81, 267, 280, 1665, 203, 1070, 29551, 47291, 1188, 3089, 203, 465, 30902, 619, 4257, 203, 589, 10750, 2262, 284, 623, 3089, 32, 4432, 81, 17777, 81, 1274, 463, 2242, 370, 5365, 47, 2521, 27, 619, 5254, 81, 520, 44, 291, 5254, 81, 520, 32, 1297, 81, 1055, 26, 4432, 81, 520, 32, 88, 463, 782, 81, 2242, 81, 13229, 81, 314, 1425, 2107, 13229, 81, 314, 2188, 5799, 47, 2700, 27, 291, 5254, 81, 520, 32, 1297, 81, 1055, 26, 4432, 81, 520, 32, 88, 463, 782, 81, 2242, 81, 2851, 81, 314, 1425, 2107, 2851, 81, 314, 2188, 5799, 47, 2700, 27, 291, 5254, 81, 520, 32, 1297, 81, 13615, 81, 678, 463, 782, 81, 2242, 81, 2544, 81, 893, 81, 314, 370, 330, 2242, 370, 2107, 2544, 81, 893, 81, 314, 2188, 2107, 314, 3490, 291, 5254, 81, 520, 32, 1297, 81, 13615, 81, 678, 463, 782, 81, 12095, 81, 2851, 81, 314, 370, 330, 12095, 370, 2107, 2851, 81, 314, 2188, 2107, 314, 3490, 291, 5254, 81, 520, 32, 1297, 81, 13615, 81, 678, 463, 782, 81, 89, 464, 6958, 81, 13229, 81, 314, 370, 330, 89, 464, 6958, 370, 2107, 13229, 81, 314, 2188, 2107, 314, 3490, 284, 623, 3089, 32, 4432, 81, 17777, 81, 1274, 463, 5646, 81, 15485, 81, 3086, 81, 3550, 370, 5365, 47, 2521, 27, 619, 5254, 81, 520, 44, 291, 5254, 81, 520, 32, 1297, 81, 1055, 26, 4432, 81, 520, 32, 88, 463, 782, 81, 5646, 81, 15485, 81, 3086, 81, 3550, 81, 1637, 81, 1906, 81, 314, 1425, 2107, 1637, 81, 1906, 81, 314, 2188, 5799, 47, 2700, 27, 284, 623, 3089, 32, 4432, 81, 17777, 81, 1274, 463, 12095, 81, 3550, 370, 5365, 47, 2521, 27, 619, 5254, 81, 520, 44, 291, 5254, 81, 520, 32, 3798, 81, 1055, 463, 782, 81, 12095, 81, 3550, 81, 2851, 81, 314, 683, 203, 589, 2835, 4944, 2262, 284, 623, 3089, 32, 4432, 81, 17777, 81, 1274, 463, 12095, 81, 3550, 370, 5365, 47, 2521, 27, 619, 5254, 81, 520, 44, 291, 5254, 81, 520, 32, 1297, 81, 1055, 463, 782, 81, 12095, 81, 3550, 81, 2851, 81, 314, 370, 2107, 2851, 81, 314, 2188, 5799, 47, 2700, 27, 284, 623, 3089, 32, 4432, 81, 17777, 81, 1274, 463, 5646, 81, 15485, 81, 3086, 81, 3550, 370, 5365, 47, 2521, 27, 619, 5254, 81, 520, 44, 291, 5254, 81, 520, 32, 3798, 81, 1055, 26, 4432, 81, 520, 32, 88, 463, 782, 81, 5646, 81, 15485, 81, 3086, 81, 3550, 81, 1637, 81, 1906, 81, 314, 2847, 284, 623, 3089, 32, 4432, 81, 17777, 81, 1274, 463, 2242, 370, 5365, 47, 2521, 27, 619, 5254, 81, 520, 44, 291, 5254, 81, 520, 32, 3798, 81, 12704, 26, 2521, 30, 827, 81, 1057, 13615, 678, 683, 291, 5254, 81, 520, 32, 3798, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 3, 8, 9, 9, 9, 9, 9, 8, 10, 10, 8, 9, 10, 8, 6, 6, 8, 8, 3, 3, 3, 8, 8, 7, 8, 8, 8, 7, 10, 10, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 10, 10, 10, 10, 7, 8, 9, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 10, 10, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 10, 10, 10, 10, 7, 8, 9, 7, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 10, 10, 10, 10, 10, 10, 7, 10, 10, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 10, 10, 10, 10, 7, 10, 10, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 10, 10, 10, 10, 7, 10, 10, 2, 2, 3, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 6, 6, 8, 8, 3, 3, 3, 8, 8, 7, 8, 8, 8, 7, 10, 10, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 10, 10, 10, 10, 10, 10, 7, 8, 9, 7, 2, 2, 3, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 8, 9, 10, 8, 6, 6, 8, 8, 3, 3, 3, 8, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 1, 1, 3, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 8, 9, 10, 8, 6, 6, 8, 8, 3, 3, 3, 8, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 10, 10, 7, 8, 9, 7, 2, 2, 3, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 6, 6, 8, 8, 3, 3, 3, 8, 8, 7, 8, 8, 8, 7, 10, 10, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 3, 8, 9, 9, 9, 9, 9, 8, 10, 10, 8, 9, 10, 8, 6, 6, 8, 8, 3, 3, 3, 8, 8, 7, 8, 8, 8, 7, 8, 7, 7, 9, 8, 10, 10, 10, 4, 4, 8, 8, 7, 8, 8 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 5, 5, 1, 1, 0, 6, 6, 2, 6, 6, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 1, 2, 7, 7, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 3, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 4134, 203, 465, 5237, 203, 465, 3738, 203, 505, 2116, 505, 280, 313, 28046, 39202, 25265, 2903, 333, 10584, 39202, 50, 2958, 32, 1088, 5844, 203, 505, 1648, 505, 280, 313, 35, 32, 37, 32, 34, 20, 203, 5177, 36, 280, 5237, 32, 1648, 81, 1338, 77, 34, 79, 610, 225, 36, 203, 325, 646, 19430, 36, 44, 284, 802, 81, 2516, 280, 596, 30, 284, 4991, 81, 2516, 280, 629, 30, 284, 443, 81, 2516, 280, 827, 30, 284, 1344, 81, 681, 280, 596, 284, 5298, 81, 681, 280, 3519, 284, 7482, 3364, 280, 5237, 32, 1449, 891, 203, 1824, 44, 284, 802, 81, 2516, 280, 1695, 800, 30, 284, 4991, 81, 2516, 280, 308, 410, 30, 1946, 27, 284, 443, 81, 2516, 280, 308, 681, 30, 3738, 32, 47012, 27, 284, 1344, 81, 681, 280, 15390, 284, 5298, 81, 681, 280, 596, 284, 415, 5237, 32, 5134, 32, 15990, 440, 1859, 10280, 291, 7482, 3364, 280, 629, 1162, 35, 1264, 225, 37, 35, 27, 429, 225, 35, 27, 284, 813, 44, 291, 443, 1593, 26, 1473, 711, 324, 665, 1156, 1657, 3207, 784, 711, 400, 442, 225, 35, 1264, 225, 37, 35, 291, 1596, 44, 324, 2069, 26, 74, 1157, 291, 2940, 35207, 924, 44, 324, 7482, 3364, 280, 629, 1162, 35, 1264, 225, 37, 35, 27, 429, 225, 35, 27, 291, 813, 44, 324, 7482, 3364, 280, 629, 1162, 35, 1264, 225, 40, 37, 27, 429, 225, 35, 27, 324, 3555, 1593, 203, 589, 617, 465, 81, 1647, 26, 426, 711, 284, 1156, 465, 3207, 426, 27, 284, 442, 5237, 32, 3477, 77, 426, 79, 203, 325, 646, 19430, 36, 44, 284, 617, 1731, 3494, 280, 313, 3494, 20, 284, 617, 1731, 2810, 280, 313, 2810, 20, 284, 617, 40957, 280, 313, 3028, 20, 284, 617, 1731, 7047, 280, 313, 7047, 20, 203, 1824, 44, 284, 617, 1731, 3494, 280, 313, 1731, 3494, 20, 284, 617, 1731, 2810, 280, 313, 1731, 2810, 20, 284, 617, 40957, 280, 313, 40957, 20, 284, 617, 1731, 7047, 280, 313, 1731, 7047, 20, 203, 1270, 44, 284, 18514, 81, 5162, 280, 2354, 203, 7343, 3270, 924, 44, 284, 665, 18514, 81, 5162, 26, 283, 711, 291, 442, 561, 32, 1978, 346, 203, 1978, 280, 18514, 81, 5162, 203, 1270, 44, 284, 20695, 280, 20695, 203, 7343, 3270, 924, 44, 284, 665, 20695, 26, 2067, 711, 291, 442, 1346, 27176, 1851, 505, 20, 328, 11595, 3667, 2665, 505, 436, 11595, 328, 827, 26, 2067, 14585, 95, 290, 8223, 203, 589, 3850, 3494, 26, 86, 30, 1115, 4124, 711, 284, 442, 3850, 26, 32110, 26, 86, 30, 617, 1731, 3494, 2502, 326, 4124, 490, 203, 589, 3850, 2810, 26, 86, 30, 1115, 4124, 711, 284, 442, 3850, 26, 32110, 26, 86, 30, 617, 1731, 2810, 2502, 326, 4124, 490, 203, 589, 3850, 3028, 26, 86, 30, 1115, 4124, 711, 284, 442, 3850, 26, 32110, 26, 86, 30, 617, 40957, 2502, 326, 4124, 490, 203, 589, 3850, 7047, 26, 86, 30, 1115, 4124, 711, 284, 442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 5, 6, 6, 6, 4, 5, 4, 3, 3, 4, 0, 1, 1, 2, 3, 1, 1, 1, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 4, 4, 5, 6, 6, 1, 2, 2, 2, 2, 6, 6, 5, 5, 7, 6, 3, 3, 6, 6, 5, 5, 7, 6, 6, 6, 3, 3, 6, 6, 5, 5, 7, 6, 6, 7, 8, 6, 3, 3, 6, 6, 5, 5, 3, 3, 6, 6, 5, 5, 3, 3, 4, 7, 8, 6, 7, 6, 8, 8, 4, 4, 8, 7, 7, 9, 13, 12, 12, 13, 13, 11, 10, 10, 11, 9, 4, 4, 5, 5, 5, 7, 8, 9, 8, 7, 7, 9, 10, 10, 11, 10, 9, 9, 11, 13, 12, 12, 13, 13, 6, 6, 7, 7, 7, 11, 13, 13, 7, 7, 8, 9, 8, 8, 8, 12, 11, 11, 13, 17, 16, 16, 17, 17, 15, 14, 14, 15, 13, 7, 7, 8, 8, 8, 12, 11, 11, 13, 17, 16, 16, 17, 17, 15, 14, 14, 15, 13, 9, 9, 10, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 6, 5, 2, 2, 3, 5, 6, 4, 5, 4, 0, 1, 1, 2, 3, 1, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 1, 2, 2, 2, 2, 6, 6, 5, 5, 7, 7, 7, 3, 3, 6, 6, 5, 5, 7, 7, 7, 3, 3, 6, 5, 5, 7, 7, 3, 3, 6, 6, 5, 5, 7, 7, 7, 0, 1, 1, 1, 1, 5, 5, 4, 4, 1, 2, 2, 3, 2, 2, 2, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 8, 0, 3, 2, 2, 3, 3, 0, 1, 1, 1, 1, 4, 4, 1, 2, 2, 3, 2, 2, 2, 4, 5, 6, 5, 4, 4, 6, 8, 11, 11, 11, 9, 9, 10, 11, 11, 8, 9, 9, 9, 12, 13, 12, 11, 11, 11, 0, 1, 1, 2, 2, 3, 2, 2, 4, 2, 1, 1, 3, 5, 8, 8, 9, 8, 8, 9, 9, 8, 8, 9, 7, 0, 1, 1, 2, 2, 3, 2, 2, 4, 2, 1, 1, 3, 5, 8, 8, 9, 8, 8, 9, 9, 8, 8, 9, 7, 0, 1, 1, 2, 2, 3, 2, 2, 4, 2, 1, 1, 3, 5, 8, 8, 9, 8, 8, 9, 8, 8, 9, 7, 0, 1, 1, 2, 2, 3, 2, 2, 4, 2, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 7, 7, 1, 1, 7, 7, 7, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 2, 2, 7, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 5, 0, 2, 0, 2, 1, 1, 2, 5, 5, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 5, 5, 4, 4, 4, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 3, 1, 3, 3, 3, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 1, 1, 4, 4, 1, 0, 2, 1, 2, 1, 0, 9, 9, 1, 1, 9, 9, 9, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 1, 2, 9, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 10, 10, 10, 10, 0, 0, 0, 0, 10, 3, 3, 1, 3, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 12, 12, 12, 12, 0, 0, 12, 3, 3, 1, 3, 3, 3, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 13, 13, 1, 2, 1, 2, 2, 1, 2, 13, 13, 0, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 14, 14, 1, 2, 1, 2, 2, 1, 2, 14, 14, 0, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 15, 15, 1, 2, 1, 2, 2, 1, 2, 15, 15, 0, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 16, 16, 1, 2, 1, 2, 2, 1, 2, 16, 16 ]
[ 465, 15798, 203, 465, 1133, 203, 1070, 13047, 32, 2024, 32, 761, 4073, 1188, 2032, 3703, 203, 1070, 13047, 32, 2304, 1188, 44524, 30, 13047, 1003, 203, 1070, 13047, 32, 2304, 32, 862, 101, 1188, 319, 203, 1070, 13047, 32, 2304, 32, 10530, 1003, 1188, 18378, 2597, 203, 823, 617, 13190, 1043, 2597, 26, 7473, 2597, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 9539, 280, 1133, 32, 4765, 1003, 1162, 36, 34, 34, 40, 30, 225, 40, 30, 225, 35, 37, 30, 225, 42, 30, 225, 37, 41, 30, 225, 38, 36, 30, 225, 34, 30, 225, 34, 30, 225, 35, 490, 474, 225, 34, 32, 35, 36, 37, 291, 18378, 2597, 3667, 1664, 3207, 784, 27, 284, 665, 617, 371, 81, 8836, 26, 784, 711, 291, 442, 630, 32, 9539, 203, 823, 2108, 974, 3703, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 13047, 1003, 32, 14880, 81, 14905, 280, 617, 13190, 1043, 2597, 346, 291, 2032, 3703, 1114, 371, 81, 7572, 280, 9254, 319, 1132, 44, 44524, 346, 291, 630, 32, 4073, 280, 2032, 3703, 463, 1354, 14500, 370, 330, 1589, 683, 284, 665, 28921, 26, 784, 711, 291, 13047, 1003, 32, 14880, 81, 14905, 280, 18378, 2597, 346, 284, 665, 894, 81, 1821, 26, 784, 711, 291, 630, 32, 4073, 32, 1821, 463, 1772, 1474, 370, 330, 1589, 683, 291, 2799, 280, 330, 36, 34, 34, 40, 34, 40, 35, 37, 225, 34, 42, 44, 37, 41, 44, 38, 36, 32, 35, 36, 37, 523, 9935, 225, 523, 1672, 1474, 78, 96, 25, 291, 630, 1114, 6967, 81, 1436, 26, 3140, 27, 291, 630, 32, 4073, 32, 1821, 463, 1772, 225, 36, 1442, 3124, 78, 96, 1793, 225, 36, 5430, 370, 330, 2930, 683, 291, 2799, 1454, 330, 36, 34, 34, 40, 34, 40, 35, 37, 225, 34, 42, 44, 37, 41, 44, 38, 36, 32, 35, 36, 37, 523, 7893, 523, 1672, 225, 36, 1442, 3124, 78, 96, 1793, 225, 36, 5430, 78, 96, 25, 291, 630, 1114, 6967, 81, 1436, 26, 3140, 27, 284, 665, 894, 81, 1821, 81, 8774, 26, 784, 711, 291, 630, 32, 4073, 32, 1338, 463, 1772, 1474, 683, 291, 2799, 280, 330, 36, 34, 34, 40, 34, 40, 35, 37, 225, 34, 42, 44, 37, 41, 44, 38, 36, 32, 35, 36, 37, 523, 9935, 225, 523, 1672, 1474, 78, 96, 25, 291, 630, 1114, 6967, 81, 1436, 26, 3140, 27, 291, 630, 32, 4073, 32, 8447, 463, 1772, 225, 36, 1442, 3124, 78, 96, 1793, 225, 36, 5430, 683, 291, 2799, 1454, 330, 36, 34, 34, 40, 34, 40, 35, 37, 225, 34, 42, 44, 37, 41, 44, 38, 36, 32, 35, 36, 37, 523, 25151, 225, 523, 1672, 225, 36, 1442, 3124, 78, 96, 1793, 225, 36, 5430, 78, 96, 25, 291, 630, 1114, 6967, 81, 1436, 26, 3140, 27, 284, 665, 894, 81, 470, 81, 2649, 26, 784, 711, 291, 630, 32, 4073, 32, 1821, 463, 2076, 370, 330, 2897, 683, 291, 630, 1114, 6967, 81, 1436, 25416, 291, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 10, 10, 9, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 7, 7, 8, 8, 8, 8, 8, 4, 4, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 10, 7, 7, 9, 4, 4, 7, 8, 6, 6, 8, 8, 10, 10, 10, 8, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 7, 9, 9, 4, 4, 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, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 10, 10, 9, 9, 9, 9, 9, 7, 9, 9, 4, 4, 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, 9, 9, 8, 8, 8, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 4, 4, 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, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 10, 10, 9, 9, 9, 9, 9, 4, 4, 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, 9, 9, 8, 8, 8, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 7, 9, 9, 4, 4, 7, 8, 8, 8, 7, 4, 4, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 0, 6, 6, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 13, 1, 1, 15, 1, 1, 17, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0 ]
[ 465, 5021, 203, 465, 316, 203, 465, 2322, 203, 465, 42406, 203, 465, 2361, 203, 465, 802, 203, 465, 3995, 203, 465, 5237, 203, 1070, 594, 17321, 36, 1188, 10838, 203, 823, 29489, 7167, 26, 2665, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 5871, 7167, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 3667, 2665, 505, 280, 630, 203, 589, 3995, 81, 800, 26, 891, 47, 40, 30, 16656, 47, 800, 32, 14510, 81, 37314, 474, 802, 32, 14510, 81, 23910, 474, 802, 32, 17980, 711, 284, 442, 35617, 2524, 26, 3855, 32, 11447, 26, 13000, 27, 436, 617, 328, 2155, 26, 891, 490, 203, 589, 372, 81, 1260, 26, 605, 711, 284, 442, 2361, 32, 16958, 26, 452, 81, 2665, 26, 605, 471, 5456, 4044, 4310, 370, 370, 14589, 2847, 203, 589, 372, 81, 2665, 26, 605, 711, 284, 415, 646, 706, 44, 291, 442, 29489, 7167, 346, 284, 665, 2698, 36, 2665, 26, 643, 711, 291, 343, 280, 29489, 7167, 346, 291, 436, 2623, 328, 2698, 3667, 1274, 9818, 6057, 44, 324, 343, 77, 2592, 32, 426, 79, 280, 18623, 26, 643, 30, 2623, 32, 426, 27, 291, 442, 343, 284, 415, 6937, 26, 605, 30, 1149, 711, 291, 442, 428, 643, 36, 2665, 26, 106, 27, 436, 816, 328, 706, 79, 284, 813, 44, 291, 442, 2698, 36, 2665, 26, 605, 27, 203, 589, 13947, 81, 4770, 26, 983, 711, 284, 415, 1519, 461, 646, 26, 500, 32, 983, 32, 4658, 26, 983, 8531, 291, 2322, 32, 27428, 26, 983, 27, 284, 442, 1519, 203, 589, 6571, 81, 983, 26, 761, 81, 983, 711, 284, 415, 646, 803, 81, 983, 44, 291, 442, 1665, 284, 2401, 81, 16227, 280, 803, 81, 983, 32, 100, 1055, 32087, 284, 415, 2401, 81, 16227, 44, 291, 442, 803, 81, 983, 77, 34, 30, 2401, 81, 16227, 79, 203, 589, 5063, 81, 983, 26, 983, 711, 284, 415, 1519, 44, 291, 415, 1519, 77, 34, 79, 863, 3056, 950, 324, 1519, 32, 3215, 26, 34, 30, 33774, 291, 442, 316, 32, 1113, 26, 100, 20, 306, 32672, 26610, 1519, 27, 203, 589, 6571, 81, 426, 26, 761, 81, 983, 711, 284, 415, 803, 81, 983, 6448, 35, 79, 610, 2430, 563, 291, 442, 1665, 284, 442, 2322, 32, 983, 32, 15705, 26, 761, 81, 983, 27, 203, 589, 3345, 81, 407, 26, 983, 711, 284, 442, 2322, 32, 983, 32, 48271, 26, 983, 5594, 34, 79, 203, 589, 5063, 81, 965, 26, 965, 711, 284, 415, 646, 1984, 44, 291, 442, 1984, 284, 1984, 280, 1984, 32, 3227, 15339, 36, 56, 370, 33774, 284, 1984, 280, 316, 32, 1113, 26, 100, 20, 80, 25761, 392, 4320, 1984, 27, 284, 442, 316, 32, 1113, 26, 100, 20, 306, 32672, 26610, 1984, 27, 203, 589, 372, 81, 21935, 26, 101, 711, 284, 309, 280, 309, 32, 4434, 463, 14510, 370, 330, 3617, 683, 284, 309, 280, 596, 26, 101, 27, 284, 309, 280, 316, 32, 1113, 26, 100, 7646, 101, 78 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 2, 3, 7, 6, 7, 7, 7, 5, 5, 6, 7, 7, 7, 4, 4, 5, 6, 2, 1, 1, 3, 6, 5, 8, 7, 8, 7, 8, 7, 5, 6, 6, 6, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 7, 7, 7, 7, 8, 7, 5, 7, 6, 9, 9, 7, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 3, 3, 3, 5, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 4, 4, 5, 5, 5, 7, 8, 8, 7, 5, 5, 5, 9, 11, 10, 11, 9, 8, 8, 10, 11, 10, 10, 11, 12, 10, 4, 4, 5, 2, 2, 3, 5, 6, 5, 5, 5, 3, 3, 5, 8, 8, 8, 8, 9, 8, 6, 7, 7, 7, 6, 3, 3, 4, 4, 4, 6, 8, 8, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 6, 10, 9, 10, 8, 9, 8, 9, 8, 3, 3, 7, 8, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 5, 3, 3, 3, 5, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 7, 6, 7, 6, 6, 7, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 3, 5, 7, 8, 7, 6, 6, 8, 5, 5, 9, 10, 9, 10, 9, 9, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 6, 6, 5, 7, 5, 4, 4, 6, 3, 3, 5, 2, 2, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 7, 8, 6, 7, 6, 7, 6, 5, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 3, 3, 3, 5, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 6, 6, 6, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 6, 8, 8, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8 ]
[ 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, 0, 8, 8, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 10, 10, 1, 1, 2, 0, 1, 2, 2, 2, 3, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 10, 10, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 3, 0, 2, 2, 2, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 1, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 4, 4, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 4, 4, 4, 0, 0, 0, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 14, 14, 1, 1, 2, 1, 1, 1, 2, 14, 14, 0, 1, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 4, 4, 1, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 16, 16, 1, 1, 2, 1, 1, 1, 2, 16, 16, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 17, 17, 1, 1, 2, 1, 2, 17, 17, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 18, 18, 1, 1, 2, 1, 2, 18, 18, 0, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 4, 4, 3, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 19, 19, 1, 1, 2, 1, 2, 19, 19, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1 ]
[ 465, 20803, 203, 1070, 2322, 1188, 1519, 30, 345, 19831, 19845, 30, 3345, 203, 465, 12528, 14436, 203, 17484, 81, 2474, 280, 313, 4399, 265, 20, 203, 13163, 280, 225, 36, 203, 2310, 280, 313, 44545, 8999, 544, 19241, 328, 11210, 20, 203, 589, 622, 81, 2278, 307, 26, 1786, 711, 284, 415, 646, 1519, 32, 34103, 440, 3551, 72, 940, 5681, 474, 2145, 32, 314, 711, 291, 345, 19831, 19845, 440, 3551, 72, 940, 5681, 474, 2145, 32, 314, 27, 284, 415, 1519, 32, 29712, 440, 3551, 72, 940, 5681, 474, 2145, 32, 314, 474, 2430, 2278, 307, 10280, 291, 623, 2156, 440, 3551, 72, 940, 5681, 474, 2145, 32, 314, 474, 2430, 2278, 307, 657, 619, 296, 44, 324, 442, 428, 928, 32, 3227, 5528, 96, 392, 7746, 436, 1628, 328, 296, 32, 33232, 7662, 284, 813, 44, 291, 442, 1605, 203, 589, 1015, 81, 26541, 26, 3656, 30, 2145, 711, 284, 4031, 29357, 280, 622, 81, 2278, 307, 26, 1786, 27, 284, 4031, 29357, 32, 1689, 26, 3656, 32, 314, 27, 284, 1596, 44, 291, 3345, 440, 3551, 72, 940, 5681, 474, 2145, 32, 314, 474, 2430, 2278, 307, 657, 284, 2940, 44, 291, 3097, 284, 623, 2156, 440, 3551, 72, 940, 5681, 474, 2145, 32, 314, 474, 2430, 2278, 307, 392, 313, 105, 657, 619, 22085, 44, 291, 10440, 5962, 816, 44, 22085, 32, 1821, 26, 106, 474, 2706, 96, 2131, 26, 928, 27, 436, 1628, 328, 4031, 29357, 79, 203, 589, 5387, 81, 26541, 26, 3656, 30, 2145, 711, 284, 4031, 29357, 280, 622, 81, 2278, 307, 26, 1786, 27, 284, 4031, 29357, 32, 2546, 26, 3656, 32, 314, 27, 284, 1596, 44, 291, 3345, 440, 3551, 72, 940, 5681, 474, 2145, 32, 314, 474, 2430, 2278, 307, 657, 284, 2940, 44, 291, 3097, 284, 623, 2156, 440, 3551, 72, 940, 5681, 474, 2145, 32, 314, 474, 2430, 2278, 307, 392, 313, 105, 657, 619, 22085, 44, 291, 10440, 5962, 816, 44, 22085, 32, 1821, 26, 106, 37457, 928, 27, 436, 1628, 328, 4031, 29357, 79, 203, 589, 622, 81, 3656, 26, 314, 30, 2145, 711, 284, 442, 20803, 32, 2304, 32, 371, 26, 1786, 32, 7910, 30, 804, 47, 314, 27, 203, 4396, 665, 1505, 81, 26541, 26, 1436, 30, 2043, 711, 284, 415, 646, 1474, 32, 3237, 32, 297, 81, 2055, 44, 291, 415, 622, 81, 2278, 307, 26, 1436, 32, 1786, 14585, 4752, 3207, 1436, 32, 2116, 32, 314, 711, 324, 2014, 2043, 32, 2714, 81, 1436, 26, 1436, 32, 2116, 30, 8195, 47, 14928, 32, 11163, 26, 1489, 47, 14928, 32, 1514, 32, 1092, 1026, 3048, 347, 25796, 30, 1273, 844, 5424, 4031, 318, 544, 458, 2145, 19, 12141, 312, 2193, 265, 372, 622, 707, 16120, 47136, 324, 2014, 2043, 32, 2560, 81, 1436, 26, 1436, 27, 203, 4396, 665, 538, 26, 1436, 30, 2043, 711, 284, 415, 1474, 32, 1286, 32, 3227, 26, 4249, 14436, 32, 9857, 474, 313, 26541, 3003, 7746, 610, 313, 668, 563, 291, 4031, 318, 81, 466, 280, 2706, 96, 2296, 2524, 2009, 371, 81, 3656, 26, 928 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 0, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 7, 6, 9, 9, 9, 9, 7, 7, 8, 9, 6, 3, 3, 7, 7, 7, 10, 10, 10, 10, 8, 8, 9, 10, 7, 2, 2, 3, 5, 6, 5, 9, 9, 9, 9, 7, 7, 8, 9, 6, 6, 8, 8, 8, 3, 3, 5, 10, 14, 14, 14, 14, 12, 12, 13, 14, 11, 11, 13, 13, 13, 8, 8, 5, 5, 5, 7, 11, 10, 11, 10, 13, 12, 10, 8, 9, 9, 9, 11, 12, 11, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 6, 5, 6, 5, 7, 6, 7, 5, 2, 2, 3, 3, 3, 7, 11, 11, 11, 11, 9, 9, 10, 11, 8, 8, 10, 10, 10, 3, 3, 4, 4, 4, 2, 2, 3, 8, 12, 12, 12, 12, 10, 10, 11, 12, 9, 9, 11, 11, 11, 8, 10, 10, 6, 6, 3, 3, 3, 9, 9, 9, 9, 11, 12, 11, 13, 12, 12, 15, 14, 8, 9, 8, 6, 7, 7, 7, 8, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 6, 5, 6, 5, 7, 6, 7, 5, 2, 2, 3, 3, 3, 7, 11, 11, 11, 11, 9, 9, 10, 11, 8, 8, 10, 10, 10, 3, 3, 4, 4, 4, 2, 2, 3, 8, 12, 12, 12, 12, 10, 10, 11, 12, 9, 9, 11, 11, 11, 8, 10, 10, 6, 6, 3, 3, 3, 9, 9, 9, 9, 11, 12, 11, 12, 11, 9, 8, 6, 7, 7, 7, 8, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 7, 5, 6, 5, 7, 6, 7, 5, 5, 6, 7, 5, 0, 1, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 6, 7, 5, 6, 6, 6, 3, 3, 3, 5, 9, 9, 9, 9, 11, 10, 11, 9, 8, 8, 10, 9, 10, 8, 9, 7, 5, 5, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 10, 11, 14, 13, 14, 13, 15, 14, 18, 17, 18, 16, 17, 16, 13, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 6, 6, 8, 10, 11, 11, 11, 10, 11, 10, 0, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 7, 8, 6, 7, 6, 9, 9, 8, 9, 7, 7, 9, 9, 6, 4, 4, 6, 6, 3, 3, 7, 7, 7, 6, 6, 12, 11, 10, 9, 13, 13, 13, 13, 14 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 4, 0, 0, 7, 7, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 3, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 3, 3, 3, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 3, 0, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 3, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 3, 3, 3, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 3, 0, 0, 9, 9, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 10, 10, 10, 2, 2, 3, 1, 3, 3, 3, 10, 10, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 0, 11, 11, 11, 3, 1, 3, 3, 3, 11, 11, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1 ]
[ 465, 5741, 203, 1070, 894, 18972, 1188, 2662, 11874, 203, 1070, 15798, 1188, 19205, 203, 1070, 11220, 1075, 1188, 15098, 30, 14735, 203, 1070, 11220, 1075, 32, 14458, 1188, 4040, 81, 9302, 30, 617, 1553, 81, 3494, 30, 617, 1553, 81, 2810, 30, 617, 371, 81, 12362, 1421, 203, 823, 2108, 1862, 1972, 12019, 1196, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 3613, 81, 12362, 1421, 280, 301, 324, 330, 770, 950, 6611, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 370, 324, 330, 751, 950, 6611, 26, 302, 27749, 27, 101, 18025, 26, 2649, 426, 27, 101, 79, 18147, 1436, 27, 101, 370, 291, 320, 284, 665, 894, 505, 1553, 81, 3494, 26, 784, 711, 291, 1056, 280, 617, 1553, 81, 3494, 26, 784, 32, 3613, 81, 12362, 1421, 32, 3494, 1026, 630, 32, 3613, 81, 12362, 1421, 32, 3494, 1157, 291, 1201, 1056, 438, 2933, 291, 623, 630, 32, 23895, 26, 11452, 32, 3817, 720, 924, 711, 324, 617, 1553, 81, 3494, 4901, 3986, 2188, 2107, 1632, 3490, 284, 665, 894, 505, 1553, 81, 2810, 26, 784, 711, 291, 1056, 280, 617, 1553, 81, 2810, 26, 784, 32, 3613, 81, 12362, 1421, 32, 2810, 1026, 596, 27, 291, 1201, 1056, 438, 2933, 291, 623, 630, 32, 23895, 26, 11452, 32, 3817, 17653, 711, 324, 617, 1553, 81, 2810, 2009, 35, 614, 596, 27, 284, 665, 894, 505, 371, 81, 12362, 1421, 26, 784, 711, 291, 1056, 280, 617, 371, 81, 12362, 1421, 26, 784, 32, 3613, 81, 12362, 1421, 30, 4040, 81, 9302, 27, 291, 1201, 827, 26, 1267, 27, 438, 8825, 291, 1201, 827, 26, 1267, 77, 34, 1130, 438, 596, 291, 1201, 827, 26, 1267, 77, 35, 1130, 438, 596, 291, 1201, 1056, 77, 34, 79, 610, 630, 32, 3613, 81, 12362, 1421, 710, 751, 785, 291, 1201, 1056, 77, 35, 79, 610, 630, 32, 3613, 81, 12362, 1421, 710, 770, 785, 203, 823, 2108, 1862, 1972, 26, 7233, 711, 284, 477, 16099, 284, 665, 617, 5536, 81, 1553, 26, 13756, 30, 3124, 30, 636, 711, 291, 1056, 280, 1605, 291, 436, 3193, 328, 13021, 44, 324, 1056, 32, 1689, 1162, 426, 30, 3193, 32, 7607, 1026, 3124, 490, 291, 442, 1056, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 751, 81, 426, 280, 330, 858, 31, 4073, 25, 291, 630, 32, 2076, 280, 330, 8279, 30, 5788, 20149, 291, 630, 32, 13756, 280, 2107, 1338, 370, 330, 2811, 370, 330, 5691, 370, 330, 731, 370, 330, 24559, 785, 291, 630, 32, 1553, 81, 8288, 280, 630, 1114, 5536, 81, 1553, 26, 784, 32, 13756, 30, 630, 32, 2076, 30, 16329, 630, 32, 751, 81, 426, 27, 284, 665, 894, 81, 2238, 81, 4531, 26, 784, 711, 291, 623, 2662, 11874, 346, 619, 456, 44, 324, 4082, 280, 5741, 32, 10579, 26, 784, 32, 751, 81, 426, 27, 324, 4082, 32, 669, 1972, 26, 14458, 32, 2238, 1157, 324, 436, 3193, 328, 630, 32, 13756, 44, 400, 18623, 26, 4073, 30, 3193, 2502, 784, 32, 2076, 27, 291, 456 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 12, 11, 12, 12, 12, 12, 10, 11, 10, 8, 11, 12, 12, 12, 12, 10, 11, 10, 4, 4, 5, 6, 6, 4, 4, 5, 9, 10, 9, 11, 10, 11, 11, 11, 9, 5, 5, 9, 9, 9, 9, 12, 12, 9, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 12, 11, 12, 12, 12, 12, 10, 11, 10, 8, 8, 4, 4, 5, 6, 6, 4, 4, 5, 9, 10, 9, 11, 10, 11, 11, 9, 5, 5, 9, 9, 9, 9, 11, 10, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 10, 9, 10, 10, 10, 10, 8, 8, 9, 9, 8, 4, 4, 5, 8, 9, 8, 6, 6, 4, 4, 5, 8, 10, 9, 10, 9, 6, 6, 4, 4, 5, 8, 10, 9, 10, 9, 6, 6, 4, 4, 5, 7, 8, 7, 6, 6, 8, 9, 9, 9, 9, 7, 9, 9, 4, 4, 5, 7, 8, 7, 6, 6, 8, 9, 9, 9, 9, 7, 9, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 10, 11, 10, 12, 11, 11, 13, 14, 13, 11, 11, 5, 5, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 8, 8, 9, 10, 10, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 10, 8, 8, 5, 5, 5, 8, 8, 10, 11, 10, 12, 11, 12, 12, 12, 10, 6, 6, 9, 10, 10, 9, 12, 11, 12, 11, 6, 6, 7, 7, 7, 8, 9, 7, 7, 7, 12, 13, 12, 12, 12, 13, 12, 13, 11, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 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, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 4, 4, 1, 1, 1, 4, 4, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 3, 1, 0, 1, 2, 1, 1, 1, 4, 4, 4, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 4, 4, 5, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 2, 2, 1, 0, 0, 2, 1, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4 ]
[ 465, 2322, 203, 465, 16951, 203, 465, 2361, 203, 465, 6436, 619, 2065, 203, 465, 24297, 203, 1070, 485, 1229, 449, 32, 3378, 1188, 394, 19423, 88, 1243, 30, 498, 3434, 1243, 203, 1070, 485, 1229, 449, 32, 37206, 1188, 10435, 203, 1070, 310, 1915, 905, 32, 605, 32, 38150, 1188, 26166, 4601, 81, 4065, 30, 1491, 81, 4700, 203, 39718, 81, 64, 280, 225, 37, 34, 34, 34, 34, 34, 261, 203, 2576, 81, 4657, 5875, 280, 225, 39, 958, 203, 2576, 81, 1319, 65, 2478, 280, 638, 41, 647, 203, 589, 456, 2496, 81, 7625, 26, 1732, 86, 81, 8395, 711, 284, 415, 1135, 86, 81, 8395, 438, 1665, 44, 291, 1135, 86, 81, 8395, 280, 2726, 4997, 609, 2961, 26411, 4354, 609, 4354, 609, 36, 34, 35, 41, 4354, 609, 36, 34, 35, 42, 4354, 609, 36, 34, 35, 40, 4354, 609, 36, 34, 35, 39, 3927, 5135, 4354, 468, 22497, 330, 474, 715, 330, 64, 7580, 42022, 5971, 11415, 489, 7580, 383, 1711, 42022, 5971, 11415, 383, 1711, 30276, 1164, 51, 12038, 1701, 12038, 639, 25, 715, 6804, 2998, 346, 291, 1135, 86, 81, 8395, 1454, 428, 101, 474, 330, 101, 25, 436, 309, 328, 1135, 86, 81, 8395, 79, 291, 1135, 86, 81, 8395, 1454, 330, 4754, 13716, 9325, 24360, 677, 906, 1155, 31677, 677, 906, 677, 12133, 9325, 13716, 32, 508, 330, 766, 715, 330, 1499, 32, 4754, 13716, 32, 508, 1913, 555, 1499, 32, 4754, 13716, 32, 508, 1678, 555, 1499, 32, 4754, 13716, 32, 508, 2473, 2998, 346, 284, 1169, 1732, 81, 8395, 280, 1135, 86, 81, 8395, 474, 428, 101, 32, 5729, 346, 436, 309, 328, 1135, 86, 81, 8395, 79, 284, 1169, 1732, 81, 8395, 1454, 428, 101, 32, 1311, 346, 436, 309, 328, 1135, 86, 81, 8395, 79, 284, 1169, 1732, 81, 8395, 1454, 428, 101, 32, 7607, 346, 436, 309, 328, 1135, 86, 81, 8395, 79, 284, 1224, 4153, 66, 81, 9052, 69, 280, 1169, 1732, 81, 8395, 474, 2107, 29368, 474, 309, 436, 309, 328, 1169, 1732, 81, 8395, 79, 284, 21283, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 19956, 4601, 81, 4065, 30, 330, 16413, 43, 37, 43, 37, 41, 34, 32, 30105, 683, 284, 415, 2322, 32, 983, 32, 29712, 26, 16413, 81, 983, 711, 291, 1459, 463, 7067, 21283, 44, 2149, 2417, 2473, 1643, 26, 16413, 81, 983, 490, 291, 21283, 280, 10435, 32, 944, 26, 16413, 81, 983, 27, 291, 1459, 463, 2069, 26, 16413, 27, 3892, 44, 19553, 1643, 26, 1657, 26, 16413, 32, 10982, 2610, 284, 813, 44, 291, 36801, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 19956, 4601, 81, 4065, 30, 330, 38290, 32, 4700, 32, 6680, 683, 291, 1459, 463, 7067, 36801, 44, 2149, 2417, 2473, 1643, 26, 38290, 81, 983, 490, 291, 36801, 280, 1491, 81, 4700, 26, 38290, 81, 983, 27, 291, 36801, 280, 2065, 32, 955, 26, 38290, 32, 878, 32, 466, 32, 2998, 1157, 291, 623, 24297, 32, 1676, 26, 500, 32, 983, 32, 2524, 26, 19956, 4601, 81, 4065, 30, 330, 38290 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 5, 5, 5, 4, 4, 3, 3, 3, 7, 7, 7, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 8, 8, 10, 10, 7, 8, 8, 8, 9, 9, 9, 7, 4, 4, 7, 7, 7, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 8, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 9, 8, 9, 8, 6, 7, 7, 7, 8, 8, 8, 6, 2, 2, 5, 5, 5, 4, 4, 8, 7, 8, 7, 5, 6, 6, 6, 7, 7, 7, 5, 2, 2, 5, 5, 5, 4, 4, 8, 7, 8, 7, 5, 6, 6, 6, 7, 7, 7, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 9, 7, 7, 6, 7, 7, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 3, 3, 7, 11, 11, 11, 11, 11, 11, 10, 9, 10, 10, 10, 9, 4, 4, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 11, 13, 12, 13, 11, 3, 3, 4, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 10, 9, 9, 11, 11, 11, 11, 11, 11, 5, 5, 8, 12, 12, 12, 12, 12, 12, 11, 10, 11, 11, 11, 10, 5, 5, 7, 7, 9, 9, 9, 10, 10, 10, 9, 5, 5, 7, 7, 9, 10, 9, 14, 13, 14, 12, 13, 11, 12, 11, 5, 5, 6, 11, 12, 11, 15, 14, 15, 13, 14, 13, 14, 14, 14, 14, 13, 13, 15 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 11, 11, 1, 1, 1, 2, 1, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 3, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 3, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 3, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 0, 2, 0, 2, 1, 1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 6, 6, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30, 5759, 711, 291, 415, 5759, 438, 1665, 44, 324, 442, 291, 1459, 26, 1816, 32, 853, 30, 943, 1057, 11134, 291, 9011, 32, 8275, 81, 266, 81, 2232, 81, 1174, 26, 1816, 32, 1873, 27, 291, 9011, 32, 8275, 81, 266, 81, 2232, 81, 1174, 26, 1816, 32, 990, 27, 284, 477, 17614, 284, 665, 7725, 81, 266, 81, 7830, 81, 1174, 26, 6933, 30, 5759, 711, 291, 415, 5759, 438, 1665, 44, 324, 442, 291, 9011, 32, 8275, 81, 266, 81, 7830, 81, 1174, 26, 1816, 32, 1873, 27, 291, 1459, 26, 1816, 32, 853, 30, 943, 1057, 11134, 291, 9011, 32, 8275, 81, 266, 81, 7830, 81, 1174, 26, 1816, 32, 990, 27, 284, 477, 17614, 284, 665, 7725, 81, 266, 81, 2135, 81, 1174, 26, 6933, 30, 5759, 711, 291, 415, 5759, 438, 1665, 44, 324, 442, 291, 9011, 32, 8275, 81, 266, 81, 2135, 81, 1174, 26, 1816, 32, 1873, 27, 291, 9011, 32, 8275, 81, 266, 81, 2135, 81, 1174, 26, 1816, 32, 990, 27, 291, 1459, 26, 1816, 32, 853, 30, 943, 1057, 11134, 203, 823, 17526, 16354, 44, 284, 477, 17614, 284, 665, 7725, 81, 266, 81, 2232, 81, 1174, 26, 6933, 30, 5759, 711, 291, 415, 5759, 438, 1665, 44, 324, 442, 291, 4138, 280, 1149, 346, 291, 4138, 32, 1689, 26, 1816, 27, 291, 2218, 2069, 26, 3034, 27, 848, 225, 34, 44, 324, 1541, 280, 4138, 32, 3235, 346, 324, 1459, 26, 1251, 32, 853, 30, 943, 1057, 11134, 324, 415, 1541, 32, 990, 438, 646, 1665, 44, 400, 4138, 32, 1689, 26, 1251, 32, 990, 27, 324, 415, 1541, 32, 1873, 438, 646, 1665, 44, 400, 4138, 32, 1689, 26, 1251, 32, 1873, 27, 284, 477, 17614, 284, 665, 7725, 81, 266, 81, 7830, 81, 1174, 26, 6933, 30, 5759, 711, 291, 415, 5759, 438, 1665, 44, 324, 442, 291, 4138, 280, 1149, 346, 291, 2738, 280, 5759, 291, 2218, 2069, 26, 3034, 27, 848, 225, 34, 556, 2738, 438, 646, 1665, 44, 324, 415, 2738, 438, 646, 1665, 44, 400, 4138, 32, 1689, 26, 1537, 27, 400, 2738, 280, 2738, 32, 1873, 324, 813, 44, 400, 2738, 280, 4138, 32, 3235, 346, 400, 1459, 26, 1537, 32, 853, 30, 943, 1057, 11134, 400, 2738, 280, 2738, 32, 990, 284, 477, 17614, 284, 665, 7725, 81, 266, 81, 2135, 81, 1174, 26, 6933, 30, 5759, 711, 291, 415, 5759, 438, 1665, 44, 324, 442, 291, 4138, 35, 280, 1149, 346, 291, 4138, 36, 280, 1149, 346, 291, 2738, 280, 5759, 291, 4138, 35, 32, 1689, 26, 1537, 27, 291, 2218, 2069, 26, 3034, 35, 27, 848, 225, 34, 44, 324, 2738, 280, 4138, 35, 32, 3235, 346, 324, 415, 2738, 32, 1873, 438, 646, 1665, 44, 400, 4138, 35, 32, 1689, 26, 1537, 32, 1873, 27, 324, 415, 2738, 32, 990, 438, 646, 1665, 44, 400, 4138, 35, 32, 1689, 26, 1537, 32, 990, 27, 324, 4138, 36, 32, 1689, 26, 1537, 32, 853, 27, 291, 2218, 2069, 26, 3034, 36, 27, 848, 225, 34, 44, 324, 1459, 26, 3034 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 3, 5, 4, 5, 3, 3, 4, 6, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 3, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 5, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 3, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 5, 7, 6, 7, 5, 2, 2, 5, 7, 6, 7, 5, 5, 6, 8, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 5, 7, 6, 7, 5, 0, 0, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 4, 5, 5, 4, 4, 4, 3, 3, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 7, 8, 6, 3, 3, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 7, 8, 6, 3, 3, 6, 8, 7, 8, 6, 6, 7, 9, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 4, 5, 5, 4, 4, 4, 3, 3, 5, 5, 7, 3, 3, 6, 7, 6, 7, 6, 3, 3, 4, 7, 8, 7, 5, 5, 6, 4, 4, 4, 7, 7, 9, 10, 9, 5, 5, 8, 10, 9, 10, 8, 8, 9, 11, 5, 5, 6, 8, 9, 7, 7, 7, 6, 6, 6, 10, 11, 10, 12, 11, 12, 10, 5, 5, 6, 8, 9, 7, 7, 7, 6, 6, 6, 10, 11, 10, 12, 11, 12, 10, 0, 0, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 4, 5, 5, 4, 4, 4, 3, 3, 5, 5, 7, 3, 3, 5, 5, 3, 3, 4, 8, 9, 8, 6, 6, 7, 5, 5, 6, 6, 6, 4, 4, 4, 6, 7, 7, 7, 6, 6, 6, 10, 11, 10, 11, 10, 7, 7, 9, 9, 10, 11, 6, 6, 7, 7, 7, 10, 10, 12, 13, 12, 8, 8, 11, 13, 12, 13, 11, 11, 12, 14, 8, 8, 10, 10, 11, 12, 0, 0, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 4, 5, 5, 4, 4, 4, 3, 3, 6, 5, 5, 7, 3, 3, 6, 5, 5, 7, 3, 3, 5, 5, 3, 3, 7, 6, 7, 6, 7, 6, 3, 3, 4, 7, 8, 8, 7, 5, 5, 6, 4, 4, 4, 7, 7, 10, 9, 10, 9, 5, 5, 6, 8, 9, 7, 7, 7, 6, 6, 6, 11, 10, 11, 10, 12, 11, 12, 10, 5, 5, 6, 8, 9, 7, 7, 7, 6, 6, 6, 11, 10, 11, 10, 12, 11, 12, 10, 5, 5, 9, 8, 9, 8, 10, 9, 10, 8, 3, 3, 4, 7, 8, 8, 7, 5, 5, 6, 4, 4, 4, 8, 11 ]
[ 0, 0, 2, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 7, 7, 0, 0, 0, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 1, 1, 0, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 10, 10, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 1, 2, 1, 1, 3, 1, 11, 11, 11, 1, 11, 0, 0, 1, 12, 12, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 4, 4, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 0, 0, 2, 1, 3, 3, 1, 0, 1, 2, 1, 1, 3, 1, 3, 3, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 3, 3, 3, 0, 2, 1, 1, 1, 3, 3, 3, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 13, 13, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 4, 4, 0, 0, 1, 4, 4, 0, 0, 4, 4, 3, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 3, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 14, 14, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 2, 1, 3, 3, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 2, 6, 6, 6, 1, 0 ]
[ 465, 6436, 619, 2065, 203, 1070, 6436, 32, 20973, 1188, 9807, 203, 1070, 36601, 19785, 10185, 9191, 3528, 36, 54, 1188, 19915, 18858, 203, 1070, 21461, 1188, 13574, 36, 54, 203, 823, 46536, 9191, 717, 12547, 26, 1473, 711, 284, 9801, 280, 2065, 32, 955, 21145, 34, 32, 43, 42, 34, 35, 38, 38, 43, 36, 42, 36, 38, 43, 30, 225, 39, 32, 34, 40, 35, 38, 36, 40, 42, 35, 38, 39, 35, 43, 55, 31, 34, 36, 614, 715, 428, 34, 32, 42, 43, 42, 37, 37, 37, 36, 37, 42, 41, 34, 41, 30, 225, 34, 32, 35, 35, 35, 35, 43, 34, 39, 35, 41, 36, 36, 41, 614, 715, 428, 34, 32, 41, 40, 36, 41, 40, 40, 36, 34, 38, 43, 39, 42, 30, 225, 34, 32, 35, 39, 40, 42, 39, 37, 37, 36, 36, 43, 37, 43, 614, 715, 428, 34, 32, 39, 43, 35, 41, 35, 41, 37, 36, 35, 36, 38, 42, 30, 225, 34, 32, 35, 42, 35, 37, 38, 35, 42, 43, 35, 40, 42, 43, 614, 715, 428, 34, 32, 38, 34, 42, 36, 42, 36, 40, 41, 42, 41, 39, 36, 30, 225, 34, 32, 35, 42, 35, 37, 38, 35, 42, 43, 35, 40, 42, 43, 614, 715, 428, 34, 32, 36, 37, 41, 36, 37, 37, 41, 43, 39, 34, 38, 36, 30, 225, 34, 32, 35, 39, 40, 42, 39, 37, 37, 36, 36, 43, 37, 43, 614, 715, 428, 34, 32, 35, 34, 35, 40, 40, 40, 41, 40, 35, 36, 43, 37, 30, 225, 34, 32, 35, 35, 35, 35, 43, 34, 39, 35, 41, 36, 36, 41, 614, 715, 428, 35, 32, 43, 42, 39, 39, 34, 41, 35, 41, 39, 35, 36, 37, 55, 31, 34, 36, 30, 225, 39, 32, 34, 40, 35, 38, 36, 40, 42, 35, 38, 39, 35, 43, 55, 31, 34, 36, 6137, 9710, 47, 2356, 32, 1808, 37, 36, 27, 284, 665, 1156, 1664, 3207, 784, 30, 17136, 711, 291, 630, 32, 19978, 280, 17136, 291, 310, 13384, 280, 17136, 319, 630, 32, 7088, 32, 3229, 77, 34, 79, 291, 630, 32, 11846, 45522, 280, 2065, 32, 2951, 1162, 96, 13384, 30, 225, 36, 471, 9710, 47, 2356, 32, 1808, 37, 36, 27, 291, 10365, 280, 2065, 32, 1295, 517, 630, 32, 19978, 291, 436, 595, 328, 2155, 26, 96, 13384, 711, 324, 20507, 2774, 545, 47250, 280, 595, 517, 630, 32, 7088, 32, 3229, 77, 34, 79, 474, 630, 32, 7088, 77, 91, 904, 630, 32, 7088, 32, 3229, 77, 34, 614, 225, 34, 79, 324, 20507, 2774, 545, 47250, 10439, 10365, 324, 630, 32, 11846, 45522, 77, 91, 30, 22913, 280, 2065, 32, 4952, 26, 10242, 2774, 545, 47250, 471, 2065, 32, 7102, 26, 10242, 2774, 545, 47250, 27, 284, 665, 26697, 26, 784, 30, 3420, 711, 291, 3632, 280, 225, 34, 32, 34, 291, 436, 310, 328, 2155, 26, 784, 32, 11846, 45522, 32, 3229, 77, 34, 10794, 324, 3632, 1454, 630, 32, 7088, 77, 96, 904, 630, 32, 7088, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 7, 9, 8, 9, 9, 9, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 6, 6, 7, 7, 10, 11, 9, 10, 8, 9, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 10, 10, 9, 9, 10, 9, 8, 9, 11, 10, 11, 11, 11, 8, 4, 4, 6, 6, 8, 9, 7, 7, 8, 9, 4, 4, 5, 5, 5, 7, 8, 8, 7, 5, 5, 9, 9, 9, 8, 8, 10, 10, 13, 14, 12, 13, 11, 12, 11, 9, 9, 11, 12, 10, 12, 11, 11, 14, 15, 13, 14, 12, 13, 12, 10, 11, 10, 6, 6, 9, 9, 9, 8, 8, 6, 6, 10, 11, 11, 9, 10, 9, 9, 8, 8, 11, 12, 11, 12, 12, 12, 12, 11, 9, 11, 12, 11, 12, 12, 12, 12, 11, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 7, 7, 4, 4, 5, 5, 5, 7, 11, 10, 11, 11, 9, 10, 8, 9, 8, 5, 5, 8, 8, 11, 12, 10, 12, 11, 11, 14, 15, 13 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 11, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 13, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 15, 15, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 15, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 4, 2, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0 ]
[ 465, 5237, 203, 465, 2322, 203, 1070, 281, 17742, 1188, 506, 1818, 203, 465, 821, 4775, 203, 465, 6436, 619, 2065, 203, 465, 11685, 203, 505, 1648, 505, 280, 313, 34, 32, 39, 32, 36, 20, 203, 17742, 280, 506, 1818, 346, 203, 17742, 32, 85, 589, 27265, 203, 5320, 629, 17077, 924, 45, 203, 5320, 3833, 17077, 10724, 203, 109, 284, 9206, 15109, 280, 225, 34, 30, 284, 9206, 1337, 13750, 280, 429, 35, 34, 34, 34, 34, 30, 284, 9206, 1061, 692, 6011, 733, 3663, 924, 30, 284, 9206, 3817, 3525, 1534, 30, 284, 9206, 3817, 5197, 5580, 30, 284, 9206, 3817, 3033, 30, 284, 9206, 3817, 5260, 30, 284, 9206, 5197, 2207, 28477, 30, 284, 9206, 8418, 2338, 3033, 46812, 30, 284, 9206, 6899, 15271, 5017, 30, 284, 9206, 2013, 20563, 7471, 30, 284, 9206, 2013, 20563, 12470, 30, 284, 9206, 1883, 3296, 30, 284, 9206, 8418, 1862, 2651, 30, 284, 9206, 39959, 1512, 30, 284, 9206, 4292, 924, 30, 284, 9206, 3033, 28760, 30, 284, 9206, 383, 14600, 3663, 2551, 16552, 1862, 1120, 30, 284, 9206, 1862, 1622, 27326, 30, 284, 9206, 1862, 35729, 27326, 30, 284, 9206, 1612, 9070, 318, 30, 284, 9206, 2301, 12915, 1867, 318, 30, 284, 9206, 3663, 2551, 5965, 30, 284, 9206, 3817, 3663, 2551, 30, 284, 9206, 4445, 1337, 2230, 1792, 1186, 10055, 1862, 30, 284, 9206, 4445, 1337, 38370, 1186, 10055, 1862, 30, 284, 9206, 4445, 1337, 2230, 1792, 1045, 2301, 4495, 1862, 30, 284, 9206, 4445, 1337, 38370, 1045, 1612, 4495, 1862, 30, 284, 9206, 383, 14600, 1862, 3663, 2551, 30, 284, 9206, 8418, 2013, 2651, 203, 111, 17077, 10724, 45, 203, 9913, 924, 17077, 81, 9962, 26, 1117, 293, 203, 9913, 924, 17077, 81, 31041, 26, 1117, 293, 203, 410, 17077, 81, 936, 2062, 26, 1117, 293, 203, 913, 1351, 319, 9913, 81, 936, 2062, 1031, 26, 1117, 293, 203, 5320, 629, 17077, 3033, 1284, 45, 203, 5320, 3833, 17077, 3663, 2551, 15629, 203, 109, 284, 9206, 383, 20235, 47, 34, 30, 1257, 793, 2218, 27375, 2193, 436, 312, 537, 3408, 2330, 569, 284, 9206, 6997, 9017, 47, 35, 30, 284, 9206, 63, 1023, 47, 36, 30, 284, 9206, 1099, 2338, 47, 37, 30, 284, 9206, 9017, 1572, 47, 38, 30, 284, 9206, 2852, 6904, 47, 39, 30, 284, 9206, 41297, 47, 41, 30, 284, 9206, 726, 3551, 47, 42, 30, 284, 9206, 726, 47, 43, 30, 284, 9206, 1467, 2636, 47, 35, 34, 30, 284, 9206, 10394, 63, 10391, 47, 35, 35, 30, 284, 9206, 60, 3277, 47, 35, 36, 30, 284, 9206, 73, 1099, 2554, 47, 35, 37, 30, 284, 9206, 6904, 38396, 58, 1164, 47, 35, 38, 203, 111, 17077, 3663, 2551, 15629, 45, 203, 5320, 1671, 17077, 3663, 2551, 1120, 301, 284, 629, 1671, 2062, 45, 284, 3833, 17077, 3663, 2551, 15629, 827, 45, 284, 660, 1351, 319, 426, 45, 284, 629, 3298, 1534, 45, 284, 17077, 3033, 1284, 1244, 1612, 3033, 45, 284, 17077, 3033, 1284, 1244, 2301, 3033, 45, 203, 111, 17077, 3663, 2551, 1120, 45, 203, 5320, 629, 17077, 3663, 2551, 1284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 0, 4, 3, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 4, 4, 1, 1, 0, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15894, 1199, 203, 465, 5741, 203, 465, 1133, 203, 35092, 81, 40571, 81, 5357, 81, 2930, 280, 225, 35, 36, 35, 37, 203, 823, 15894, 3313, 1074, 44, 284, 665, 1156, 1664, 3207, 784, 30, 3082, 81, 3841, 711, 291, 630, 1114, 1199, 81, 3841, 280, 3082, 81, 3841, 291, 630, 1114, 7017, 280, 3082, 81, 3841, 32, 7017, 346, 291, 630, 32, 4534, 81, 2613, 346, 284, 665, 1156, 4025, 3207, 784, 711, 291, 630, 1114, 1199, 81, 3841, 32, 2679, 346, 284, 665, 5551, 81, 4066, 26, 784, 30, 804, 30, 1780, 711, 291, 1596, 44, 324, 630, 1114, 7017, 32, 4526, 463, 2631, 2641, 20357, 26, 314, 30, 1780, 27, 2742, 7846, 101, 30, 904, 101, 293, 370, 8982, 308, 314, 30, 1780, 490, 291, 2940, 15894, 1199, 32, 924, 30, 484, 44, 324, 5741, 32, 731, 463, 731, 17093, 9126, 5461, 101, 20, 372, 3500, 44, 904, 101, 10027, 86, 9905, 8982, 904, 308, 1311, 32, 4434, 463, 14510, 370, 330, 3617, 1425, 484, 32, 1132, 77, 35, 614, 484, 32, 1132, 77, 34, 5259, 284, 665, 5551, 81, 7344, 26, 784, 30, 1914, 81, 426, 30, 1760, 81, 426, 711, 291, 1596, 44, 324, 630, 1114, 7017, 32, 4526, 463, 2631, 2641, 42006, 26, 1855, 81, 4066, 81, 426, 30, 1760, 81, 4066, 81, 426, 27, 2742, 7846, 101, 30, 904, 101, 293, 370, 400, 308, 1855, 81, 426, 30, 1760, 81, 426, 490, 291, 2940, 15894, 1199, 32, 924, 30, 484, 44, 324, 5741, 32, 731, 463, 731, 17093, 5668, 5461, 101, 20, 1101, 5461, 101, 20, 372, 3500, 44, 904, 101, 10027, 86, 9905, 8982, 904, 308, 1855, 81, 426, 32, 4434, 463, 14510, 370, 330, 3617, 1425, 1760, 81, 426, 32, 4434, 463, 14510, 370, 330, 3617, 1425, 484, 32, 1132, 77, 35, 614, 484, 32, 1132, 77, 34, 5259, 284, 665, 5551, 81, 1204, 26, 784, 30, 1914, 81, 4066, 81, 314, 30, 1760, 81, 4066, 81, 426, 711, 291, 1760, 81, 4066, 81, 314, 280, 630, 1114, 5284, 81, 1311, 26, 1977, 81, 4066, 81, 426, 27, 291, 415, 1760, 81, 4066, 81, 314, 610, 1665, 44, 324, 5741, 32, 731, 463, 9752, 646, 5889, 1760, 9126, 5461, 101, 20, 436, 2552, 645, 1914, 9126, 904, 86, 25, 8982, 904, 308, 1977, 81, 4066, 81, 426, 32, 4434, 463, 14510, 370, 330, 3617, 1425, 1914, 81, 4066, 81, 314, 490, 291, 813, 44, 324, 1596, 44, 400, 630, 1114, 7017, 32, 4526, 463, 2631, 2641, 7324, 26, 1855, 81, 4066, 81, 314, 30, 1760, 81, 4066, 81, 314, 27, 2742, 7846, 101, 30, 904, 101, 293, 370, 528, 308, 1855, 81, 4066, 81, 314, 30, 1760, 81, 4066, 81, 314, 490, 324, 2940, 15894, 1199, 32, 924, 30, 484, 44, 400, 5741, 32, 731, 463, 731, 17093, 2552, 10027, 86, 27, 1101, 10027, 86, 27, 372, 3500, 44, 904, 101, 10027, 86, 9905, 8982, 904, 308, 1855, 81, 4066, 81, 314, 30, 1760, 81, 4066, 81, 314, 30, 484, 32, 1132, 77, 35, 614, 484, 32, 1132, 77, 34, 5259, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 10, 10, 5, 5, 6, 8, 7, 8, 6, 6, 6, 6, 6, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 15, 14, 15, 14, 16, 16, 14, 16, 16, 12, 14, 15, 13, 14, 13, 12, 14, 15, 13, 14, 13, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 10, 10, 11, 11, 10, 5, 5, 6, 8, 7, 8, 6, 6, 6, 6, 6, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 15, 15, 15, 14, 15, 14, 16, 16, 14, 16, 16, 12, 15, 15, 14, 15, 14, 16, 16, 14, 16, 16, 12, 14, 15, 13, 14, 13, 12, 14, 15, 13, 14, 13, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 7, 7, 7, 7, 6, 6, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 14, 14, 14, 14, 14, 13, 14, 13, 15, 15, 13, 15, 15, 11, 12, 12, 12, 12, 11, 5, 5, 6, 6, 6, 8, 8, 8, 13, 14, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 13, 13, 14, 14, 14, 14, 13, 8, 8, 9, 11, 10, 11, 9, 9, 9, 9, 9, 13, 14, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 14, 16, 16, 16, 16, 16, 15, 15, 16, 16, 16, 16, 15, 15, 17, 18, 16, 17, 16, 15, 17, 18, 16, 17, 16, 4 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 4, 4, 1, 1, 4, 4, 4, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 3, 0, 0, 3, 0, 1, 2, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 3, 2, 3, 2, 0, 2, 5, 2, 5, 3, 3, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 0, 0, 3, 0, 1, 2, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 5, 2, 5, 2, 0, 2, 7, 2, 7, 3, 3, 4, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 1, 2, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 0, 2, 5, 2, 5, 2, 0, 2, 7, 2, 7, 4 ]
[ 1070, 16539, 1188, 447, 1676, 30, 21925, 1304, 203, 1070, 20918, 271, 32, 2957, 1188, 4070, 203, 1070, 20918, 271, 32, 9211, 1188, 8287, 1761, 30, 8287, 924, 203, 1070, 20918, 271, 32, 2304, 1188, 4774, 81, 2998, 203, 823, 1410, 2284, 48049, 2348, 26, 2348, 1761, 711, 284, 665, 1688, 26, 784, 30, 1115, 5321, 711, 291, 4209, 280, 4247, 291, 415, 630, 32, 681, 610, 330, 754, 950, 324, 4209, 280, 4070, 32, 75, 2284, 81, 4624, 81, 29940, 69, 291, 415, 630, 32, 681, 610, 330, 2079, 950, 324, 4209, 280, 4070, 32, 75, 2284, 81, 12053, 81, 29940, 69, 291, 2016, 280, 6611, 101, 769, 681, 6132, 101, 904, 101, 25, 904, 308, 3550, 32, 75, 2284, 81, 17905, 30, 630, 32, 681, 30, 4209, 27, 291, 415, 630, 32, 10529, 44, 324, 2016, 1454, 330, 769, 10529, 25, 291, 1596, 44, 324, 298, 280, 447, 1676, 26, 3515, 81, 2998, 26, 2501, 471, 24621, 47, 18165, 30, 12532, 47, 18165, 30, 16154, 47, 18165, 27, 324, 13996, 30, 1137, 280, 298, 32, 508, 48275, 26, 784, 32, 1286, 27, 291, 2940, 45338, 30, 484, 44, 324, 3636, 8287, 924, 26, 87, 27, 291, 415, 298, 32, 1684, 346, 863, 225, 34, 44, 324, 415, 646, 1137, 44, 400, 1137, 280, 330, 12014, 372, 4871, 1410, 2284, 46630, 271, 2761, 25, 324, 3636, 8287, 924, 26, 530, 27, 291, 415, 630, 32, 10529, 44, 324, 1459, 1137, 291, 442, 13996, 203, 823, 1410, 35482, 1706, 2348, 26, 75, 2284, 48049, 2348, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 75, 35482, 1706, 2348, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 681, 280, 330, 2079, 25, 203, 823, 1410, 2284, 4624, 2348, 26, 75, 2284, 48049, 2348, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 75, 2284, 4624, 2348, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 681, 280, 330, 754, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 6, 4, 3, 3, 6, 6, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 10, 8, 8, 9, 10, 8, 8, 8, 4, 4, 5, 6, 7, 5, 5, 5, 8, 8, 10, 10, 10, 4, 4, 5, 5, 5, 8, 8, 10, 10, 12, 12, 12, 12, 13, 12, 10, 11, 12, 10, 10, 11, 12, 10, 10, 11, 12, 10, 6, 6, 9, 9, 8, 8, 10, 11, 11, 10, 12, 11, 12, 10, 5, 5, 6, 6, 6, 6, 6, 6, 8, 10, 10, 11, 10, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 8, 7, 7, 7, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 9, 9, 10, 9, 4, 4, 5, 6, 7, 5, 5, 5, 7, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 8, 8, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 4, 1, 2, 4, 4, 4, 0, 0, 1, 1, 2, 4, 4, 5, 5, 5, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 5, 5, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 4, 4, 6, 0, 2, 1, 1, 1, 2, 6, 6, 6, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 1, 1, 1, 4, 4, 7, 1, 2, 7, 7, 7, 0, 4, 4, 8, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 2, 0, 6, 6, 1, 1, 1, 2, 1, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 9552, 282, 2548, 11455, 32, 1356, 32, 1832, 32, 1070, 81, 1358, 32, 8774, 1188, 1968, 81, 3576, 81, 1110, 203, 1070, 9552, 282, 2548, 11455, 32, 1356, 32, 2304, 1188, 372, 81, 8228, 203, 1070, 9552, 282, 2548, 11455, 32, 1160, 32, 40315, 1188, 6403, 16042, 203, 1070, 9552, 282, 2548, 11455, 32, 1160, 32, 36898, 6591, 1764, 1868, 1188, 1884, 495, 6591, 1764, 1868, 203, 1070, 9552, 282, 2548, 11455, 32, 1160, 32, 18117, 1868, 1188, 41837, 1868, 203, 1070, 9552, 282, 2548, 11455, 32, 1160, 32, 34464, 13034, 1188, 11706, 774, 13034, 203, 1070, 9552, 282, 2548, 11455, 32, 1160, 32, 35802, 1868, 1188, 4761, 2927, 1868, 203, 1070, 9552, 282, 2548, 11455, 32, 1160, 32, 21256, 1043, 1188, 9687, 5080, 1043, 203, 1070, 9552, 282, 2548, 11455, 32, 1160, 32, 6356, 23439, 1188, 9838, 23439, 203, 1070, 9552, 282, 2548, 11455, 32, 1160, 32, 10675, 1188, 42135, 203, 589, 1968, 81, 26421, 81, 9147, 26, 26421, 101, 81, 4700, 711, 284, 26885, 81, 9147, 280, 1605, 284, 5799, 81, 26421, 81, 6922, 418, 6591, 10387, 280, 739, 346, 284, 436, 2698, 328, 26885, 101, 81, 4700, 44, 291, 1596, 44, 324, 26885, 81, 1959, 280, 622, 81, 26421, 81, 1959, 26, 26421, 81, 9147, 30, 2698, 27, 324, 25680, 6591, 1764, 81, 1959, 280, 622, 81, 16129, 6591, 1764, 81, 1959, 26, 643, 27, 324, 26885, 81, 1959, 32, 16129, 6591, 1764, 81, 9147, 32, 1689, 26, 16129, 6591, 1764, 81, 1959, 27, 324, 26885, 81, 9147, 32, 3215, 26, 26421, 81, 1959, 32, 1071, 81, 1174, 30, 26885, 81, 1959, 27, 324, 5799, 81, 26421, 81, 16129, 6591, 1764, 81, 426, 280, 26885, 81, 1959, 32, 426, 474, 313, 429, 313, 474, 25680, 6591, 1764, 81, 1959, 32, 426, 324, 415, 5799, 81, 26421, 81, 16129, 6591, 1764, 81, 426, 328, 5799, 81, 26421, 81, 6922, 418, 6591, 10387, 44, 400, 3636, 3268, 440, 4015, 395, 3425, 4304, 312, 26885, 33, 16129, 6591, 1764, 22283, 432, 44, 313, 474, 1378, 5799, 81, 26421, 81, 16129, 6591, 1764, 81, 426, 27, 324, 813, 44, 400, 5799, 81, 26421, 81, 6922, 418, 6591, 10387, 32, 669, 26, 5665, 81, 26421, 81, 16129, 6591, 1764, 81, 426, 27, 291, 2940, 3268, 619, 484, 44, 324, 436, 831, 30, 354, 328, 2698, 32, 3028, 2262, 400, 372, 81, 8228, 26, 93, 474, 10685, 313, 474, 354, 27, 324, 3636, 484, 284, 4121, 81, 1110, 280, 1968, 81, 3576, 81, 1110, 26, 26421, 81, 9147, 27, 284, 442, 5889, 81, 6365, 26, 26421, 81, 9147, 30, 4121, 81, 1110, 27, 203, 589, 5889, 81, 6365, 26, 26421, 81, 9147, 30, 4121, 81, 1110, 711, 284, 11425, 81, 13007, 280, 1605, 284, 436, 14364, 328, 26885, 81, 9147, 44, 291, 14364, 32, 38758, 32, 4382, 9229, 280, 428, 3576, 81, 1110, 77, 96, 79, 436, 310, 328, 14364, 32, 38758, 32, 4382, 9229, 415, 310, 79, 291, 14364, 32, 38758, 32, 18263, 280, 428, 3576, 81, 1110, 77, 100, 79, 436, 540, 328, 14364, 32, 38758, 32, 18263, 415, 540, 79, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 9, 9, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 6, 6, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 11, 10, 6, 6, 11, 11, 10, 11, 11, 11, 11, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 6, 6, 10, 10, 9, 10, 9, 11, 11, 11, 10, 11, 11, 11, 9, 9, 10, 10, 9, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 12, 12, 11, 12, 10, 10, 12, 12, 9, 9, 11, 11, 11, 11, 10, 11, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 11, 7, 7, 8, 8, 8, 13, 13, 13, 13, 13, 13, 13, 12, 13, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 5, 5, 6, 7, 7, 6, 6, 6, 8, 9, 9, 8, 8, 10, 11, 10, 8, 8, 12, 12, 12, 15, 14, 14, 16, 13, 13, 12, 7, 7, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 8, 9, 7, 8, 8, 6, 6, 9, 9, 9, 8, 9, 8, 7, 8, 8, 8, 10, 11, 9, 10, 10, 7, 8, 7, 4, 4, 8, 9, 7, 8, 6, 6, 9, 9, 9, 8, 9, 8, 7, 8, 8, 8, 10, 11, 9, 10, 7, 8, 7, 4 ]
[ 0, 0, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 4, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 4, 6, 6, 0, 0, 0, 7, 7, 0, 0, 0, 1, 2, 1, 4, 4, 7, 7, 0, 0, 0, 8, 8, 0, 0, 0, 1, 2, 1, 4, 4, 8, 8, 0, 0, 9, 9, 0, 0, 0, 1, 2, 1, 4, 9, 9, 0, 10, 10, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 2, 2, 2, 3, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 3, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 5, 5, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 11, 11, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 11, 11, 0, 0, 0, 0, 4, 4, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 3, 2, 2, 2, 3, 2, 5, 5, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 3, 2, 2, 3, 2, 5 ]
[ 9592, 203, 5506, 31, 10016, 6234, 6929, 265, 32, 203, 2272, 1340, 438, 4335, 30838, 10114, 461, 6784, 372, 894, 32, 203, 14504, 623, 7450, 1602, 31245, 203, 20, 8309, 884, 3134, 13563, 432, 44654, 312, 2932, 6735, 44, 203, 3582, 3352, 438, 372, 1930, 561, 1259, 4281, 688, 2017, 884, 36502, 1289, 665, 9976, 3865, 30, 203, 363, 322, 1604, 3352, 438, 372, 1930, 561, 1259, 26602, 688, 2017, 884, 1289, 20190, 665, 9976, 3865, 3107, 203, 31, 15845, 16548, 586, 30, 225, 35, 43, 42, 34, 394, 4093, 399, 2489, 23687, 513, 203, 383, 8409, 44, 561, 438, 1779, 1054, 372, 11549, 372, 2267, 31, 36227, 461, 316, 31, 1270, 821, 458, 5396, 32, 203, 2272, 438, 646, 4195, 372, 745, 8464, 11510, 30, 4558, 1755, 322, 7079, 18934, 12462, 203, 29436, 2769, 312, 11322, 1663, 1535, 32, 225, 308, 87, 32, 89, 32, 14156, 31115, 30, 5657, 7079, 1603, 27, 203, 9592, 203, 465, 1133, 203, 465, 2192, 203, 465, 6234, 203, 465, 3226, 654, 203, 465, 9586, 203, 696, 280, 9586, 32, 62, 3703, 346, 203, 823, 14835, 4198, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5868, 47, 34, 32, 36, 39, 30, 1769, 81, 32550, 47, 42, 34, 34, 711, 291, 1188, 2498, 16189, 630, 32, 5457, 280, 5868, 291, 630, 32, 3994, 81, 38124, 81, 1170, 81, 3225, 280, 2149, 291, 630, 32, 9184, 81, 17431, 81, 5571, 280, 2149, 291, 630, 32, 14046, 9184, 280, 2498, 32, 14046, 9184, 291, 630, 32, 2999, 81, 32550, 280, 225, 34, 291, 630, 32, 1449, 81, 38124, 81, 1170, 81, 3225, 280, 2149, 16189, 630, 32, 1536, 81, 1449, 81, 38124, 81, 462, 81, 3225, 280, 225, 39, 34, 291, 630, 32, 1449, 81, 32550, 280, 225, 42, 34, 34, 284, 665, 20912, 26, 784, 30, 8705, 711, 291, 1596, 44, 324, 630, 32, 85, 514, 346, 291, 2940, 3268, 619, 484, 44, 23688, 14938, 32, 1381, 440, 984, 645, 281, 514, 44, 301, 34, 19, 100, 6553, 484, 27, 291, 13363, 101, 280, 630, 32, 3994, 81, 38124, 81, 1170, 81, 3225, 32, 371, 26, 3225, 27, 291, 415, 13363, 101, 44, 324, 13363, 280, 13363, 101, 32, 3235, 346, 324, 3555, 630, 32, 9184, 81, 17431, 81, 5571, 77, 9184, 79, 324, 1596, 44, 38042, 14938, 32, 1381, 440, 1590, 448, 13570, 13363, 301, 34, 3188, 6344, 301, 35, 6553, 596, 26, 314, 26, 9184, 3662, 596, 26, 9184, 32, 5039, 7888, 5156, 324, 2940, 44, 400, 3097, 324, 442, 13363, 291, 442, 1665, 284, 665, 3621, 26, 784, 30, 13363, 711, 291, 1596, 44, 23688, 14938, 32, 1381, 440, 435, 33868, 13363, 301, 34, 111, 517, 6344, 301, 35, 6553, 596, 26, 314, 26, 9184, 3662, 596, 26, 9184, 32, 5039, 7888, 5156, 291, 2940, 44, 324, 3097, 291, 1596, 44, 324, 415, 2192, 32, 1613, 2009, 9184, 614, 5518, 5518, 225, 34, 5594, 34, 2786, 400, 630, 32, 14046, 9184, 26, 9184, 27, 400, 442, 4456, 2940, 44, 324, 442, 4456, 8705, 280, 13363, 32, 371, 10356, 426, 346, 291, 8705 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 3, 2, 2, 4, 5, 5, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 6, 4, 3, 3, 5, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 9, 10, 10, 9, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 4, 4, 7, 6, 6, 9, 10, 10, 10, 10, 10, 10, 10, 8, 9, 8, 9, 8, 4, 4, 5, 6, 5, 5, 5, 8, 8, 11, 10, 11, 10, 6, 6, 7, 9, 10, 10, 10, 10, 10, 8, 9, 8, 6, 6, 7, 7, 7, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 13, 15, 15, 16, 15, 11, 13, 16, 15, 16, 16, 15, 7, 7, 8, 8, 8, 6, 6, 7, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 13, 13, 14, 13, 9, 11, 14, 13, 14, 14, 13, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 7, 10, 11, 10, 12, 11, 10, 10, 10, 11, 10, 9, 8, 7, 7, 11, 12, 12, 11, 12, 11, 8, 8, 5, 5, 6, 6, 6, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 5, 0, 0, 0, 0, 0, 2, 2, 1, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 3, 3, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 3, 3, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 3, 3, 3, 4, 4, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 7, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4 ]
[ 505, 1855, 505, 280, 330, 641, 555, 19384, 32, 508, 33, 23361, 33, 3585, 31, 1647, 7404, 203, 465, 15798, 203, 465, 323, 46975, 203, 823, 13091, 2459, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 19972, 280, 1605, 284, 665, 617, 11206, 26, 784, 30, 2841, 30, 2091, 711, 291, 595, 30, 594, 280, 225, 34, 30, 2069, 26, 784, 32, 19972, 27, 429, 225, 35, 291, 436, 343, 328, 308, 35, 34, 34, 30, 225, 35, 34, 30, 225, 35, 711, 324, 2218, 595, 474, 343, 429, 225, 35, 333, 2069, 26, 784, 32, 19972, 27, 461, 630, 32, 19972, 77, 91, 29, 86, 31, 35, 1674, 35, 79, 333, 2841, 44, 400, 595, 1454, 343, 324, 2218, 594, 2377, 343, 429, 225, 35, 461, 630, 32, 19972, 77, 92, 31, 86, 29, 35, 1674, 34, 79, 848, 2091, 44, 400, 594, 5912, 343, 291, 442, 595, 30, 594, 284, 665, 1015, 3198, 26, 784, 30, 2841, 30, 2091, 711, 291, 595, 30, 594, 280, 630, 1114, 11206, 26, 1873, 30, 2091, 27, 291, 415, 595, 2511, 594, 44, 324, 2841, 280, 1847, 26, 1873, 30, 630, 32, 19972, 77, 91, 1674, 34, 1130, 324, 2091, 280, 1769, 26, 990, 30, 630, 32, 19972, 77, 92, 1674, 35, 1130, 291, 630, 32, 19972, 77, 91, 44, 92, 29, 35, 79, 280, 10440, 1873, 30, 2091, 2177, 284, 665, 2467, 3198, 26, 784, 30, 2841, 30, 2091, 711, 291, 595, 280, 323, 46975, 32, 84, 46975, 81, 1873, 26, 784, 32, 19972, 30, 308, 1873, 30, 1897, 463, 5267, 21180, 291, 415, 595, 44, 595, 5912, 225, 35, 291, 442, 308, 2420, 26, 784, 32, 19972, 27, 461, 400, 630, 32, 19972, 77, 91, 1674, 34, 79, 2511, 2841, 461, 400, 2091, 2511, 630, 32, 19972, 77, 91, 1674, 35, 1130, 284, 665, 3345, 3198, 26, 784, 30, 2841, 30, 2091, 711, 291, 595, 30, 594, 280, 630, 1114, 11206, 26, 1873, 30, 2091, 27, 291, 3991, 280, 1605, 291, 436, 831, 328, 35198, 26, 91, 30, 594, 29, 35, 711, 324, 415, 630, 32, 19972, 77, 93, 1674, 34, 79, 333, 2841, 44, 400, 3991, 32, 1689, 1162, 784, 32, 19972, 77, 93, 1674, 34, 614, 2841, 490, 324, 415, 2091, 333, 630, 32, 19972, 77, 93, 1674, 35, 2786, 400, 3991, 32, 1689, 1162, 990, 30, 630, 32, 19972, 77, 93, 1674, 35, 5259, 291, 630, 32, 19972, 77, 91, 44, 92, 29, 35, 79, 280, 3991, 203, 823, 2108, 8891, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 3325, 26, 784, 711, 291, 630, 32, 5299, 26, 35, 30, 225, 35, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 15798, 32, 1831, 346, 203, 5433, 280, 5881, 203, 21, 947, 8392, 44, 1678, 555, 19384, 32, 508, 33, 23361, 33, 3585, 31, 1647, 33, 10957, 33, 203, 21, 203, 10083, 867, 588, 35, 44, 30398, 504, 36809, 3645, 11941, 4803, 9359, 428, 24898, 79, 203, 41144, 17422, 203, 1043, 19915, 543, 44, 10251, 1224, 526, 322, 1451, 432, 4702 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 7, 7, 10, 12, 11, 12, 10, 8, 8, 9, 4, 4, 5, 5, 5, 7, 7, 7, 6, 6, 7, 7, 6, 6, 7, 6, 5, 5, 7, 11, 11, 10, 10, 11, 9, 9, 11, 13, 12, 13, 11, 8, 8, 12, 13, 11, 14, 13, 14, 12, 13, 11, 11, 10, 9, 9, 7, 7, 7, 10, 10, 6, 6, 7, 9, 9, 10, 10, 11, 8, 8, 12, 13, 11, 14, 13, 14, 12, 13, 11, 11, 10, 9, 9, 7, 7, 7, 10, 10, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 8, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 10, 13, 14, 12, 13, 12, 12, 11, 6, 6, 8, 8, 10, 11, 10, 10, 13, 14, 12, 13, 12, 12, 11, 4, 4, 8, 9, 7, 9, 8, 10, 9, 10, 7, 6, 6, 9, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 9, 8, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 10, 9, 9, 11, 13, 13, 4, 4, 5, 5, 5, 8, 8, 9, 4, 4, 5, 10, 10, 12, 11, 12, 10, 8, 8, 8, 12, 13, 11, 12, 11, 11, 10, 9, 9, 7, 7, 7, 8, 8, 11, 12, 10, 11, 10, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 8, 8, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 9, 7, 5, 5, 7, 11, 12, 10, 11, 10, 10, 9, 8, 8, 7, 7, 7, 11, 12, 11, 16, 15, 16, 14, 15, 14, 14, 13, 12, 12, 6, 6, 7, 8, 8, 11, 12, 10, 11, 10, 10, 9, 7, 7, 11, 12, 11, 13, 12, 12, 15, 16, 14, 15, 14, 14, 13, 4, 4, 8, 9, 7, 9, 8, 10, 9, 10, 7, 6, 6, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 5, 3, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 5, 5, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 4, 4, 2, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 3, 3, 3, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 3, 4, 4, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 2, 4, 4, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 4, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 3, 4, 4, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 465, 29969, 203, 1070, 29969, 1188, 5380, 203, 465, 316, 203, 589, 1401, 81, 2300, 2262, 284, 415, 2322, 32, 426, 610, 330, 566, 950, 291, 1596, 44, 324, 1779, 280, 2322, 32, 26366, 26, 500, 32, 12595, 32, 2524, 2009, 500, 32, 12757, 32, 371, 463, 1598, 4058, 370, 330, 53, 16406, 5910, 1425, 330, 1433, 7698, 291, 2940, 44, 324, 442, 2322, 32, 12757, 710, 19452, 2188, 2700, 291, 813, 44, 324, 442, 2322, 32, 12757, 710, 19452, 2188, 1815, 284, 813, 44, 291, 415, 330, 4521, 1680, 81, 4975, 25, 328, 2322, 32, 12757, 461, 2322, 32, 371, 87, 1890, 346, 610, 225, 34, 44, 324, 442, 2322, 32, 12757, 710, 4521, 1680, 81, 4975, 2188, 1815, 291, 813, 44, 324, 442, 2322, 32, 12757, 710, 19452, 2188, 2700, 203, 1216, 463, 3206, 4793, 683, 203, 44238, 280, 1401, 81, 2300, 346, 203, 1216, 463, 9514, 2894, 9128, 429, 5769, 438, 4191, 77, 35, 1130, 203, 325, 646, 438, 4191, 77, 35, 2786, 284, 1459, 463, 4445, 6945, 102, 1420, 2876, 5605, 31310, 683, 284, 4323, 346, 203, 983, 668, 280, 5380, 463, 1617, 33, 1814, 13285, 463, 326, 1109, 683, 203, 500, 32, 2946, 463, 3474, 533, 523, 540, 38481, 11305, 517, 101, 683, 203, 979, 1519, 328, 1519, 668, 44, 284, 1519, 81, 266, 81, 466, 280, 596, 26, 983, 27, 284, 415, 2322, 32, 983, 32, 29712, 26, 983, 711, 291, 1914, 81, 1204, 81, 466, 280, 1519, 81, 266, 81, 466, 291, 1914, 81, 1204, 81, 466, 280, 31001, 1736, 1439, 1736, 25, 474, 1914, 81, 1204, 81, 466, 291, 1459, 26, 1855, 81, 1204, 81, 466, 27, 291, 894, 5077, 280, 330, 5910, 1736, 25, 474, 1519, 81, 266, 81, 466, 291, 3362, 280, 29969, 32, 1215, 26, 858, 5077, 547, 2544, 291, 1459, 26, 466, 26, 5660, 490, 291, 5202, 2976, 280, 308, 268, 32, 1113, 26, 100, 20, 1736, 29, 12456, 1736, 6603, 392, 540, 20, 1736, 497, 392, 596, 26, 5660, 490, 6897, 1736, 497, 1736, 11968, 42, 10056, 16189, 2322, 32, 2946, 463, 10174, 904, 101, 25, 904, 3362, 27, 291, 2322, 32, 2946, 463, 295, 329, 3246, 904, 101, 517, 21115, 17640, 658, 3905, 88, 9905, 904, 3362, 27, 291, 415, 1519, 81, 266, 81, 466, 32, 20643, 3949, 1859, 7831, 324, 1459, 463, 5433, 803, 2552, 2431, 683, 324, 2016, 280, 330, 4765, 1204, 5461, 101, 20, 5461, 101, 23, 101, 14891, 904, 308, 858, 5077, 30, 5202, 2976, 30, 1914, 81, 1204, 81, 466, 27, 324, 1459, 463, 18905, 299, 2016, 904, 101, 25, 904, 2016, 27, 324, 2322, 32, 2946, 26, 2501, 27, 291, 813, 44, 324, 1459, 463, 4542, 2552, 2431, 683, 324, 2016, 280, 330, 4765, 1204, 517, 54, 5461, 101, 20, 5461, 101, 23, 101, 14891, 904, 308, 858, 5077, 30, 5202, 2976, 30, 1914, 81, 1204, 81, 466, 27, 324, 1459, 463, 18905, 299, 2016, 904, 101, 25, 904, 2016, 27, 324, 2322, 32, 2946, 26, 2501, 27, 203, 1216, 463, 3206, 4720, 101, 683, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 4, 4, 6, 6, 3, 3, 5, 5, 5, 8, 8, 10, 11, 10, 14, 13, 14, 12, 13, 12, 17, 16, 17, 15, 16, 15, 17, 17, 17, 15, 17, 17, 17, 17, 13, 15, 15, 5, 5, 6, 6, 6, 8, 11, 12, 10, 12, 12, 10, 5, 5, 6, 6, 6, 8, 11, 12, 10, 12, 12, 10, 3, 3, 4, 4, 4, 6, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 7, 10, 11, 11, 11, 10, 8, 8, 9, 6, 6, 6, 8, 11, 12, 10, 12, 12, 12, 12, 12, 10, 6, 6, 7, 7, 7, 9, 12, 13, 11, 13, 13, 11, 0, 3, 3, 5, 5, 5, 0, 3, 2, 2, 4, 4, 4, 0, 3, 3, 5, 5, 5, 5, 5, 3, 5, 4, 5, 4, 0, 1, 1, 2, 4, 3, 4, 3, 1, 1, 5, 7, 8, 7, 7, 7, 7, 7, 7, 2, 2, 5, 0, 3, 3, 2, 2, 6, 8, 8, 8, 5, 4, 6, 6, 6, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 6, 7, 5, 6, 5, 6, 5, 3, 3, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 6, 6, 10, 9, 10, 9, 7, 7, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 6, 6, 9, 10, 9, 7, 7, 8, 8, 8, 8, 4, 4, 6, 6, 9, 10, 9, 10, 10, 9, 8, 4, 4, 7, 9, 9, 10, 9, 4, 4, 7, 6, 6, 12, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 11, 13, 14, 13, 9, 12, 11, 12, 11, 9, 8, 4, 4, 7, 8, 7, 10, 10, 10, 10, 8, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 5, 8, 8, 8, 8, 7, 8, 7, 9, 9, 5, 5, 9, 11, 11, 11, 11, 11, 6, 6, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 10, 10, 11, 10, 10, 11, 11, 11, 11, 10, 6, 6, 9, 12, 12, 12, 12, 12, 12, 10, 10, 9, 6, 6, 9, 10, 9, 10, 9, 5, 5, 6, 6, 6, 10, 12, 12, 12, 12, 7, 7, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 11, 11, 12, 11, 11, 12, 12, 12, 12, 11, 7, 7, 10, 13, 13, 13, 13, 13, 13, 11, 11, 10, 7, 7, 10, 11, 10, 11, 10, 0, 3, 3, 5, 5, 5, 5, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 3, 3, 3, 0, 0, 2, 0, 1, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 0, 1, 2, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 3, 0, 8, 8, 1, 0, 1, 2, 1, 8, 8, 1, 1, 0, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 11, 11, 3, 11, 11, 11, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 3, 3, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 9, 0, 0, 0, 0, 0, 2, 1, 1, 2, 9, 9, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 3, 2, 2, 5, 5, 5, 5, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 9, 9, 4, 4, 4, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 3, 2, 2, 5, 5, 5, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0 ]
[ 465, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 203, 16191, 5834, 280, 301, 203, 25, 35, 32, 37, 32, 40, 32, 35, 32, 36, 32, 35, 32, 35, 36, 41, 950, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 32, 2180, 59, 364, 88, 67, 500, 25131, 30, 203, 25, 35, 32, 37, 32, 40, 32, 35, 32, 36, 32, 35, 32, 35, 36, 41, 32, 34, 950, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 32, 2180, 59, 364, 88, 67, 500, 16488, 30, 203, 25, 35, 32, 37, 32, 40, 32, 35, 32, 36, 32, 35, 32, 35, 36, 41, 32, 35, 950, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 32, 2180, 59, 364, 88, 67, 500, 25131, 6692, 30, 203, 25, 35, 32, 37, 32, 40, 32, 35, 32, 36, 32, 35, 32, 35, 36, 41, 32, 36, 950, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 32, 2180, 59, 364, 88, 67, 500, 609, 8013, 30, 203, 25, 35, 32, 37, 32, 40, 32, 35, 32, 36, 32, 35, 32, 35, 36, 41, 32, 36, 32, 35, 950, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 32, 2180, 59, 364, 88, 67, 500, 7332, 30, 203, 25, 35, 32, 37, 32, 40, 32, 35, 32, 36, 32, 35, 32, 35, 36, 41, 32, 36, 32, 36, 950, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 32, 2180, 59, 364, 88, 67, 500, 982, 374, 3151, 30, 203, 25, 35, 32, 37, 32, 40, 32, 35, 32, 36, 32, 35, 32, 35, 36, 41, 32, 35, 32, 35, 32, 35, 32, 35, 950, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 32, 2180, 59, 364, 88, 67, 500, 66, 4430, 1339, 606, 30, 203, 25, 35, 32, 37, 32, 40, 32, 35, 32, 36, 32, 35, 32, 35, 36, 41, 32, 35, 32, 35, 32, 35, 32, 36, 950, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 32, 2180, 59, 364, 88, 67, 500, 66, 4430, 1339, 5222, 30, 203, 25, 35, 32, 37, 32, 40, 32, 35, 32, 36, 32, 35, 32, 35, 36, 41, 32, 35, 32, 35, 32, 35, 32, 37, 950, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 32, 2180, 59, 364, 88, 67, 500, 66, 4430, 1339, 10326, 30, 203, 25, 35, 32, 37, 32, 40, 32, 35, 32, 36, 32, 35, 32, 35, 36, 41, 32, 35, 32, 35, 32, 35, 32, 38, 950, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 32, 2180, 59, 364, 88, 67, 500, 66, 4430, 1339, 7086, 70, 500, 11994, 30, 203, 25, 35, 32, 37, 32, 40, 32, 35, 32, 36, 32, 35, 32, 35, 36, 41, 32, 35, 32, 35, 32, 35, 32, 39, 950, 4085, 3746, 81, 59, 1218, 56, 81, 67, 2636, 81, 25131, 32, 2180, 59, 364, 88, 67, 500, 66, 4430, 1339, 7086, 70, 500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 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, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 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, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 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, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 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, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 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, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 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, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 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, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 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, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 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, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 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, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 1070, 29947, 1188, 4705, 261, 203, 465, 2322, 203, 10229, 280, 2156, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 10229, 32, 954, 12097, 850, 346, 203, 500, 32, 31015, 26, 500, 32, 983, 32, 19573, 49149, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 21379, 4064, 761, 36762, 2322, 32, 568, 1515, 2610, 203, 5522, 26, 284, 636, 1057, 11025, 31, 3806, 31, 3978, 265, 370, 284, 1503, 1057, 34, 32, 35, 32, 40, 370, 284, 7599, 11414, 3806, 81, 3978, 265, 370, 330, 3806, 81, 3978, 265, 32, 9331, 370, 330, 3806, 81, 3978, 265, 32, 9331, 32, 7621, 2188, 284, 2305, 81, 1320, 81, 605, 47, 1815, 30, 284, 3541, 1057, 6675, 1177, 370, 284, 3048, 1057, 36115, 1123, 1654, 372, 5083, 21522, 6597, 16954, 706, 1991, 1370, 8527, 3500, 6418, 284, 1946, 81, 2310, 47, 10229, 30, 284, 1984, 1057, 641, 555, 933, 32, 508, 33, 53, 1434, 59, 4599, 33, 11025, 31, 3806, 31, 3978, 265, 13093, 284, 4081, 1057, 7339, 29391, 28421, 1155, 370, 284, 4081, 81, 1935, 1057, 1729, 421, 1155, 50, 85, 42599, 928, 32, 1088, 370, 284, 2443, 81, 13966, 6020, 291, 330, 2175, 31, 1237, 31, 2958, 31, 1580, 2377, 225, 35, 32, 36, 370, 291, 330, 978, 8861, 2377, 225, 36, 32, 40, 32, 35, 370, 284, 2505, 284, 4705, 81, 13966, 6020, 291, 330, 2175, 31, 1237, 31, 2958, 31, 1580, 2377, 225, 35, 32, 36, 370, 291, 330, 978, 8861, 2377, 225, 36, 32, 40, 32, 35, 370, 284, 2505, 284, 43397, 6020, 291, 330, 6330, 2037, 3704, 10572, 370, 291, 330, 5936, 2037, 18297, 370, 291, 330, 1428, 4611, 37393, 5467, 2037, 36646, 370, 291, 330, 3786, 2037, 546, 2123, 46573, 2037, 7131, 1177, 370, 291, 330, 25900, 1171, 2037, 6642, 40201, 370, 291, 330, 23560, 6633, 2037, 4865, 370, 291, 330, 23560, 6633, 2037, 4865, 2037, 225, 36, 370, 291, 330, 8294, 2037, 13939, 2037, 624, 18906, 33, 5068, 370, 291, 330, 8294, 2037, 13939, 2037, 624, 18906, 33, 5068, 2037, 14790, 6256, 370, 284, 2505, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 0, 1, 1, 0, 3, 2, 2, 6, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 8, 10, 10, 10, 10, 5, 4, 0, 4, 3, 4, 3, 7, 6, 7, 5, 6, 6, 5, 9, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 7, 8, 9, 9, 7, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 5, 4, 5, 3, 3, 3, 4, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 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, 5, 5, 3, 3, 5, 5, 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, 5, 5, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 7, 2, 1, 1, 1, 9, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 13, 2, 1, 1, 1, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 17, 1, 1, 1, 1, 2, 1, 1, 0, 0, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 21, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 23, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 25, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 2116, 505, 280, 313, 27413, 34571, 1575, 20, 203, 505, 11794, 505, 280, 313, 10581, 225, 36, 34, 35, 39, 30, 16328, 33375, 23507, 5412, 20, 203, 505, 36157, 505, 280, 3037, 27413, 34571, 1575, 392, 313, 68, 896, 94, 40630, 483, 392, 313, 1027, 13153, 10451, 3418, 265, 392, 528, 313, 854, 8027, 1224, 930, 1180, 392, 313, 60, 29182, 546, 86, 274, 392, 313, 60, 265, 10376, 677, 930, 3883, 1446, 203, 505, 2077, 505, 280, 313, 14954, 225, 36, 20, 203, 465, 2322, 203, 1070, 2737, 486, 342, 5631, 32, 2963, 1188, 4070, 203, 1070, 9201, 658, 1237, 32, 1356, 1188, 31386, 2101, 30, 31386, 203, 823, 26920, 2255, 26, 1473, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 803, 81, 983, 30, 2340, 81, 1003, 711, 357, 202, 784, 32, 761, 81, 983, 280, 803, 81, 983, 357, 202, 784, 32, 770, 81, 1003, 280, 2340, 81, 1003, 203, 202, 589, 1156, 13707, 3207, 784, 711, 357, 202, 601, 4145, 23, 101, 904, 100, 6457, 904, 308, 681, 26, 784, 14585, 426, 7642, 630, 32, 770, 81, 1003, 27, 203, 823, 42390, 26, 1473, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 1519, 30, 2340, 30, 26796, 81, 1311, 30, 5417, 711, 357, 202, 784, 32, 983, 280, 1519, 357, 202, 784, 32, 770, 280, 2340, 357, 202, 784, 32, 19942, 81, 1311, 280, 26796, 81, 1311, 357, 202, 784, 32, 426, 280, 5461, 101, 16335, 101, 20, 18147, 770, 30, 26796, 81, 1311, 27, 357, 202, 784, 32, 2875, 280, 5417, 203, 202, 589, 1156, 466, 3207, 784, 711, 357, 202, 601, 630, 32, 19942, 81, 1311, 203, 823, 506, 25588, 26, 1473, 711, 203, 202, 589, 1156, 1664, 3207, 784, 711, 357, 202, 784, 32, 1306, 4753, 280, 1605, 357, 202, 751, 81, 1515, 280, 4070, 1365, 751, 81, 1515, 1446, 357, 202, 784, 32, 751, 81, 1515, 280, 1245, 81, 1515, 357, 202, 464, 81, 770, 81, 15615, 280, 428, 86, 436, 343, 328, 2322, 32, 26366, 26, 751, 81, 1515, 27, 415, 2322, 32, 983, 32, 34103, 26, 500, 32, 983, 32, 2524, 26, 751, 81, 1515, 30, 343, 12634, 357, 202, 979, 2340, 81, 1515, 328, 2322, 32, 26366, 26, 751, 81, 1515, 711, 355, 202, 2620, 81, 770, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 751, 81, 1515, 30, 2340, 81, 1515, 27, 355, 202, 325, 646, 2322, 32, 983, 32, 34103, 26, 2620, 81, 770, 81, 1515, 711, 603, 202, 7505, 355, 202, 979, 26796, 81, 1515, 328, 2322, 32, 26366, 26, 2620, 81, 770, 81, 1515, 711, 603, 202, 2620, 81, 19942, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 2620, 81, 770, 81, 1515, 30, 26796, 81, 1515, 27, 603, 202, 325, 646, 2322, 32, 983, 32, 34103, 26, 2620, 81, 19942, 81, 1515, 711, 577, 202, 7505, 603, 202, 784, 32, 1306, 4753, 32, 1689, 26, 23362, 26, 2620, 81, 19942, 81, 1515, 30, 2340, 81, 1515, 30, 26796, 81, 1515, 30, 2069, 26, 784, 32, 1306, 4753, 2610, 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, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 8, 8, 8, 8, 8, 6, 6, 10, 10, 11, 10, 9, 9, 7, 8, 9, 9, 9, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 8, 7, 8, 6, 6, 9, 9, 9, 9, 7, 9, 8, 8, 9, 9, 8, 4, 4, 8, 7, 8, 6, 6, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 6, 7, 7, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 6, 6, 4, 4, 7, 7, 7, 6, 6, 7, 9, 9, 9, 9, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 7, 8, 8, 8, 10, 11, 10, 11, 11, 11, 10, 7, 8, 11, 12, 10, 11, 10, 14, 13, 14, 12, 13, 12, 13, 13, 13, 12, 12, 12, 4, 4, 5, 5, 6, 6, 5, 5, 7, 8, 7, 8, 8, 8, 7, 5, 5, 9, 9, 9, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 11, 11, 10, 6, 6, 7, 7, 8, 11, 12, 10, 11, 10, 11, 11, 11, 11, 11, 10, 7, 7, 9, 6, 6, 7, 7, 8, 8, 7, 7, 9, 10, 9, 10, 10, 10, 10, 10, 9, 7, 7, 11, 11, 11, 11, 11, 10, 10, 13, 14, 12, 13, 12, 13, 13, 13, 13, 13, 12, 12, 13, 13, 12, 8, 8, 9, 9, 10, 13, 14, 12, 13, 12, 13, 13, 13, 13, 13, 12, 9, 9, 11, 8, 8, 13, 12, 13, 13, 11, 12, 11, 13, 13, 14, 14, 14, 14, 14, 13, 13, 14, 14, 13, 13, 14, 14, 13, 13, 15, 17, 16, 17, 17, 15, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 6, 6, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 0, 8, 8, 2, 1, 2, 8, 8, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 3, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0 ]
[ 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 1070, 2322, 315, 32, 2304, 1188, 9991, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 281, 15130, 1188, 3756, 203, 1070, 281, 15130, 32, 91, 35, 42, 96, 1188, 617, 203, 1070, 281, 15130, 32, 893, 1188, 1778, 81, 2304, 203, 1070, 281, 15130, 32, 26878, 32, 2282, 1188, 803, 2304, 203, 1070, 281, 15130, 32, 26878, 32, 2282, 1188, 1245, 619, 5741, 203, 1070, 281, 15130, 1188, 8745, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 1188, 309, 1232, 2548, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 32, 5910, 1188, 6562, 2548, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 32, 5910, 1188, 354, 7493, 2304, 203, 4530, 280, 330, 35, 32, 34, 32, 34, 25, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 14594, 280, 8444, 32, 14594, 203, 14594, 32, 470, 81, 1536, 463, 41495, 2548, 81, 29705, 81, 1163, 370, 540, 25, 53, 3491, 2961, 3113, 78, 41495, 2548, 81, 29705, 32, 2760, 683, 203, 14594, 32, 470, 81, 1536, 463, 41495, 2548, 81, 2944, 81, 1493, 81, 1439, 370, 540, 25, 53, 3491, 2961, 3113, 5015, 18580, 683, 203, 14594, 32, 470, 81, 1536, 463, 41495, 2548, 81, 1536, 81, 7236, 81, 1643, 370, 330, 104, 7493, 683, 203, 823, 4017, 69, 1232, 2548, 6636, 26, 41495, 2548, 32, 69, 1232, 2548, 6636, 711, 284, 20418, 280, 20418, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 2839, 69, 1232, 2548, 6636, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 1439, 280, 18623, 26, 784, 32, 5983, 30, 1014, 330, 41495, 2548, 81, 2944, 81, 1493, 81, 1439, 370, 1014, 45623, 32, 41495, 2548, 81, 2944, 81, 1493, 81, 1439, 27, 291, 6410, 280, 18623, 26, 784, 32, 5983, 30, 5556, 330, 41495, 2548, 81, 2944, 81, 2184, 370, 5556, 45623, 32, 41495, 2548, 81, 2944, 81, 2184, 27, 291, 630, 1114, 7001, 88, 545, 826, 280, 6562, 2548, 32, 2839, 7313, 15516, 1486, 26, 324, 330, 85, 23204, 370, 3051, 81, 4313, 47, 2521, 30, 309, 1232, 2548, 81, 2944, 81, 1493, 81, 1439, 47, 784, 32, 1439, 30, 324, 309, 1232, 2548, 81, 2944, 81, 2184, 47, 6363, 27, 291, 630, 32, 104, 7493, 2304, 280, 354, 7493, 2304, 32, 72, 12714, 2755, 346, 284, 665, 745, 81, 5522, 26, 784, 30, 1619, 711, 291, 630, 1114, 1553, 81, 500, 81, 5134, 346, 291, 2599, 26, 2839, 69, 1232, 2548, 6636, 30, 630, 547, 1409, 81, 5522, 26, 1819, 27, 284, 665, 617, 1553, 81, 500, 81, 5134, 26, 784, 711, 291, 415, 5237, 32, 5134, 863, 330, 4463, 37, 36, 950, 324, 617, 2076, 280, 26155, 2272, 2664, 5624, 10027, 101, 27, 438, 646, 5420, 32, 1348, 313, 3486, 313, 5350, 9567, 1755, 13378, 37, 36, 17503, 7144, 904, 5237, 32, 5134, 324, 3636, 3756, 32, 69, 1232, 2548, 984, 2176, 2076, 27, 284, 665, 617, 1409, 81, 1297, 81, 7236, 26, 784, 30, 6864, 711, 291, 6864 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 3, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 8, 10, 9, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 8, 4, 4, 6, 6, 8, 10, 9, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 8, 10, 10, 9, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 9, 11, 10, 11, 8, 8, 8, 10, 10, 10, 10, 10, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 4, 4, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 8, 8, 8, 8, 5, 5, 9, 8, 8, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 9, 9, 10, 11, 6, 6, 7, 9, 10, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 2, 2, 2, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 3, 3, 0, 10, 10, 0, 10, 10, 0, 11, 11, 0, 1, 2, 1, 4, 11, 11, 0, 0, 0, 12, 12, 0, 1, 2, 1, 4, 1, 6, 12, 12, 0, 0, 13, 13, 0, 1, 2, 1, 4, 1, 6, 13, 13, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 20, 20, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 20, 20, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 7, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 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, 2, 2, 2, 2, 3, 3, 1, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4 ]
[ 100, 2993, 203, 18487, 203, 11383, 2983, 2376, 32, 978, 203, 18487, 203, 608, 3129, 203, 15937, 107, 66, 2376, 2601, 318, 372, 4865, 203, 608, 3129, 203, 3437, 318, 810, 529, 828, 339, 488, 24837, 25114, 203, 10581, 308, 85, 27, 225, 36, 34, 34, 38, 30, 225, 36, 34, 34, 41, 1884, 339, 488, 24837, 203, 7318, 529, 15937, 107, 66, 2376, 25114, 810, 529, 19693, 8080, 5317, 25114, 203, 10581, 308, 85, 27, 225, 36, 34, 34, 37, 21566, 8080, 5317, 203, 16377, 23817, 203, 781, 203, 51, 18548, 31, 25072, 3973, 436, 4354, 84, 9403, 106, 418, 3133, 203, 1318, 298, 849, 851, 313, 15937, 107, 66, 2376, 20, 438, 312, 3741, 2676, 27569, 20527, 31, 266, 436, 14149, 444, 2768, 30, 203, 52, 9403, 106, 418, 30, 461, 31886, 3579, 688, 12277, 1630, 5071, 14917, 26675, 40136, 7125, 203, 8005, 313, 11383, 20, 31830, 14176, 40136, 5780, 11740, 32, 203, 2272, 2932, 30, 319, 11383, 2983, 2376, 32, 978, 7027, 931, 286, 453, 5252, 372, 526, 312, 17372, 2601, 432, 203, 15937, 107, 66, 2376, 372, 4865, 30, 436, 793, 623, 4354, 84, 9403, 106, 418, 3133, 203, 3234, 203, 16625, 203, 15937, 107, 66, 2376, 883, 4436, 322, 2412, 34816, 44, 203, 31, 358, 2692, 694, 22002, 308, 313, 461, 330, 829, 1991, 313, 1537, 631, 20, 15358, 5780, 11740, 203, 31, 7587, 19540, 31, 1621, 22002, 10442, 28150, 82, 6228, 458, 48890, 1991, 313, 1537, 631, 20, 15358, 5780, 11740, 203, 31, 475, 16670, 308, 572, 287, 572, 461, 4102, 1559, 572, 27, 1991, 931, 31, 461, 2642, 31, 10939, 11740, 203, 31, 27945, 36059, 31117, 308, 572, 1179, 572, 556, 529, 2541, 638, 638, 572, 27, 1991, 600, 47432, 4422, 203, 2272, 6058, 844, 883, 2866, 30, 4553, 30, 461, 4131, 1370, 14765, 1471, 14917, 3610, 203, 20957, 20854, 22002, 30, 14917, 9499, 4279, 30, 461, 14917, 31117, 30, 1273, 1370, 9581, 203, 8224, 308, 363, 1158, 5780, 1688, 27, 1098, 9250, 623, 18548, 22002, 30, 2642, 31, 13983, 4279, 30, 203, 363, 7240, 709, 2794, 1464, 32, 203, 15937, 107, 66, 2376, 1957, 646, 5351, 7125, 4797, 4102, 46, 1001, 48, 18769, 4102, 46, 687, 48, 18769, 4102, 46, 2251, 48, 18769, 203, 572, 46, 20026, 48, 18769, 4102, 46, 3812, 48, 572, 556, 4102, 46, 1423, 48, 572, 2604, 9058, 32, 44677, 30, 3282, 5911, 884, 203, 3985, 372, 2503, 1344, 2154, 18548, 22002, 461, 1604, 313, 11383, 40136, 20, 2268, 203, 1206, 526, 9136, 30, 3751, 619, 1914, 1340, 556, 2280, 21873, 32, 203, 2495, 16227, 516, 545, 10247, 203, 1281, 47, 203, 1083, 1244, 40777, 307, 884, 646, 11451, 32, 886, 2164, 40777, 307, 30, 322, 203, 82, 2416, 81, 307, 3625, 307, 47, 1815, 82, 11659, 2793, 2298, 526, 5403, 32, 2802, 4794, 436, 312, 203, 2310, 432, 2769, 458, 1957, 32, 203, 2797, 844, 1849, 372, 793, 10652, 20854, 22002, 308, 271, 14917, 13458, 833, 1229, 461, 203, 46092, 471, 18849, 107, 66, 2376, 19201, 322, 2412, 1751, 16227, 15820, 17211, 203, 452, 7650, 2979, 31, 11383, 40136 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13092, 203, 1070, 296, 39, 81, 26878, 81, 4867, 32, 94, 2653, 302, 104, 36, 32, 18150, 32, 7380, 639, 32, 307, 86, 81, 761, 4531, 1188, 766, 284, 516, 2713, 3265, 6312, 203, 1070, 296, 39, 81, 26878, 81, 4867, 32, 94, 2653, 302, 104, 36, 32, 18150, 32, 7380, 639, 1188, 14735, 619, 296, 39, 81, 327, 203, 823, 2108, 55, 2713, 974, 41063, 94, 493, 26, 1473, 711, 284, 11459, 81, 983, 280, 330, 88, 39, 81, 26878, 81, 4867, 33, 94, 2653, 302, 104, 36, 33, 18150, 33, 7380, 639, 33, 858, 33, 1260, 25, 284, 477, 16099, 284, 665, 1201, 1324, 26, 2067, 35, 30, 2830, 36, 30, 5997, 1057, 7831, 291, 1201, 2830, 35, 610, 2830, 36, 30, 5997, 284, 477, 16099, 284, 665, 1201, 22101, 26, 14806, 711, 291, 442, 13092, 32, 16708, 26, 14806, 27, 284, 477, 16099, 284, 665, 1201, 383, 26, 2067, 35, 30, 5436, 81, 2067, 30, 5997, 1057, 7831, 291, 1201, 2830, 35, 328, 5436, 81, 2067, 30, 5997, 284, 665, 894, 81, 5790, 81, 1515, 81, 426, 26, 784, 711, 291, 6187, 280, 516, 2713, 3265, 6312, 3247, 302, 42, 41, 812, 8497, 9635, 28343, 25844, 291, 1201, 646, 6187, 32, 307, 86, 3265, 39417, 284, 665, 894, 81, 1347, 81, 2536, 26, 784, 30, 622, 81, 9535, 81, 983, 711, 291, 6187, 280, 516, 2713, 3265, 6312, 26, 324, 17246, 46052, 2951, 81, 1515, 2473, 1643, 26, 371, 81, 9535, 81, 983, 30, 630, 32, 18233, 81, 983, 490, 291, 1201, 646, 6187, 32, 307, 86, 3265, 39417, 284, 665, 894, 81, 1347, 81, 1260, 81, 2536, 26, 784, 30, 622, 81, 9535, 81, 983, 711, 291, 6187, 280, 516, 2713, 3265, 6312, 26, 324, 17246, 46052, 1347, 81, 1260, 2473, 1643, 26, 371, 81, 9535, 81, 983, 30, 630, 32, 18233, 81, 983, 490, 291, 1201, 646, 6187, 32, 307, 86, 3265, 39417, 284, 665, 894, 81, 11179, 81, 1260, 81, 2536, 26, 784, 30, 622, 81, 9535, 81, 983, 711, 291, 6187, 280, 516, 2713, 3265, 6312, 26, 324, 17246, 46052, 11179, 81, 1260, 48083, 1643, 26, 371, 81, 9535, 81, 983, 30, 630, 32, 18233, 81, 983, 490, 291, 630, 32, 5299, 26, 35, 30, 2069, 26, 6308, 32, 307, 86, 3265, 39417, 490, 284, 665, 894, 81, 1260, 81, 2585, 81, 2536, 26, 784, 30, 622, 81, 9535, 81, 983, 711, 291, 6187, 280, 516, 2713, 3265, 6312, 26, 324, 17246, 46052, 1327, 2473, 1643, 26, 371, 81, 9535, 81, 983, 30, 630, 32, 18233, 81, 983, 490, 291, 630, 32, 5299, 26, 37, 30, 2069, 26, 6308, 32, 307, 86, 3265, 39417, 490, 284, 665, 894, 81, 5790, 81, 1260, 26, 784, 30, 622, 81, 9535, 81, 983, 711, 291, 4899, 280, 516, 2713, 3265, 6312, 26, 324, 17246, 46052, 5790, 2473, 1643, 26, 371, 81, 9535, 81, 983, 30, 630, 32, 18233, 81, 983, 490, 291, 623, 630, 32, 23895, 26, 88, 39, 81, 327, 32, 307, 86, 3265, 974, 3817, 984, 711, 324, 4899, 32, 850, 81, 1260, 346, 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, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 6, 6, 5, 5, 6, 5, 5, 6, 8, 4, 4, 6, 8, 7, 7, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 8, 9, 8, 9, 8, 2, 2, 5, 3, 3, 4, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 6, 8, 4, 4, 6, 8, 7, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 7, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 11, 10, 11, 11, 11, 11, 11, 10, 10, 11, 12, 12, 12, 10, 4, 4, 5, 6, 7, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 11, 10, 11, 11, 11, 11, 11, 10, 10, 11, 12, 12, 12, 10, 4, 4, 5, 6, 7, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 11, 10, 11, 11, 11, 11, 11, 10, 10, 11, 12, 12, 12, 10, 4, 4, 7, 8, 7, 8, 7, 7, 9, 11, 10, 11, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 12, 12, 12, 11, 10, 11, 11, 11, 11, 11, 10, 10, 11, 12, 12, 12, 10, 4, 4, 7, 8, 7, 8, 7, 7, 9, 11, 10, 11, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 12, 12, 12, 11, 10, 11, 11, 11, 11, 11, 10, 10, 11, 12, 12, 12, 10, 4, 4, 5, 9, 10, 9, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 9, 5, 5, 9, 10, 10, 10, 9, 2 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 1, 6, 6, 1, 8, 8, 8, 8, 8, 1, 1, 3, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 1, 6, 6, 2, 2, 3, 3, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 5, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 4, 4, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 4, 4, 1, 3, 3, 1, 1, 2, 1, 1, 2, 2, 3, 3, 2, 2, 5, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 4, 4, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 4, 4, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 7, 7, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 8, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 8, 8, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 9, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 9, 9, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 4 ]
[ 465, 2322, 203, 465, 13092, 203, 1070, 15798, 1188, 4395, 203, 1070, 4377, 9236, 1188, 10572, 2570, 203, 1070, 4377, 1439, 1188, 10572, 203, 50, 12408, 32, 12940, 203, 589, 4281, 2121, 2262, 284, 4870, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 313, 33222, 32, 7070, 657, 284, 442, 10572, 2570, 26, 3607, 27, 203, 50, 12408, 32, 1826, 32, 38326, 203, 4396, 665, 894, 81, 371, 81, 9236, 81, 4243, 26, 6656, 2121, 711, 284, 2014, 4281, 2121, 32, 1877, 81, 33222, 346, 284, 1201, 739, 26, 6656, 2121, 32, 371, 81, 9236, 81, 4243, 1157, 610, 3447, 658, 392, 313, 8268, 3612, 203, 50, 12408, 32, 1826, 32, 38326, 203, 4396, 665, 894, 81, 371, 81, 9236, 26, 6656, 2121, 711, 284, 2014, 4281, 2121, 32, 1877, 81, 33222, 346, 284, 1201, 4281, 2121, 32, 371, 81, 9236, 440, 658, 657, 610, 10572, 26, 291, 313, 658, 392, 3447, 2171, 563, 225, 35, 36, 37, 30, 313, 1112, 563, 313, 7656, 3918, 3037, 1112, 1446, 284, 829, 203, 50, 12408, 32, 1826, 32, 38326, 203, 4396, 665, 894, 81, 3965, 81, 9578, 26, 6656, 2121, 711, 284, 2014, 4281, 2121, 32, 1877, 81, 33222, 346, 284, 1201, 308, 291, 4281, 2121, 32, 3965, 81, 9578, 440, 7656, 458, 438, 312, 894, 30, 1273, 225, 35, 36, 37, 438, 35665, 657, 291, 610, 313, 7656, 458, 438, 312, 894, 30, 1273, 1115, 4431, 33, 10463, 326, 438, 35665, 20, 284, 829, 203, 50, 12408, 32, 1826, 32, 38326, 203, 4396, 665, 894, 81, 371, 81, 9236, 81, 753, 2157, 2262, 284, 4870, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 313, 753, 2157, 81, 2121, 32, 7070, 657, 284, 9661, 2121, 280, 10572, 2570, 26, 3607, 27, 284, 623, 4395, 32, 2675, 440, 713, 3883, 1231, 32, 9236, 32, 753, 2157, 81, 4554, 392, 537, 47, 5962, 816, 44, 313, 1069, 22258, 474, 816, 711, 291, 2014, 9661, 2121, 32, 1877, 81, 33222, 346, 284, 1201, 9661, 2121, 32, 371, 81, 9236, 440, 658, 657, 610, 10572, 26, 291, 313, 658, 392, 3447, 2171, 563, 313, 1069, 31940, 713, 3883, 1231, 858, 33, 2171, 392, 313, 1112, 563, 313, 1069, 31940, 713, 3883, 1231, 858, 33, 1112, 3918, 1605, 284, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 2, 2, 5, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 7, 9, 9, 9, 9, 3, 3, 4, 6, 6, 7, 6, 0, 2, 5, 4, 5, 3, 4, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 5, 8, 7, 8, 8, 8, 7, 3, 3, 4, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 5, 5, 8, 8, 6, 8, 8, 0, 2, 5, 4, 5, 3, 4, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 5, 8, 7, 8, 8, 8, 7, 3, 3, 4, 8, 7, 8, 8, 8, 7, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 11, 11, 9, 10, 10, 10, 8, 8, 11, 11, 9, 11, 11, 7, 10, 10, 7, 7, 0, 2, 5, 4, 5, 3, 4, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 5, 8, 7, 8, 8, 8, 7, 3, 3, 4, 5, 5, 9, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 0, 2, 5, 4, 5, 3, 4, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 7, 9, 9, 9, 9, 9, 9, 9, 3, 3, 6, 5, 5, 7, 7, 8, 7, 3, 3, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 10, 10, 10, 13, 13, 11, 11, 8, 4, 4, 7, 10, 9, 10, 10, 10, 9, 3, 3, 4, 8, 7, 8, 8, 8, 7, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 1, 2, 5, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 6, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 3, 1, 1, 0, 0, 0, 2, 2, 2, 1, 5, 5, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 7, 1, 1, 1, 2, 2, 2, 2, 3, 1, 1, 3, 1, 1, 0, 0, 0, 2, 2, 2, 1, 5, 5, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 3, 3, 1, 2, 3, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 8, 1, 1, 1, 2, 2, 2, 2, 3, 1, 1, 3, 1, 1, 0, 0, 0, 2, 2, 2, 1, 5, 5, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 9, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 5, 5, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 1, 1, 3, 3, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 5, 5, 3, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 2322, 203, 1070, 2322, 315, 32, 1163, 1188, 8444, 203, 465, 298, 839, 32, 1648, 203, 1070, 1202, 10498, 1188, 13807, 203, 1070, 1202, 10498, 32, 2282, 1188, 31358, 203, 1070, 1202, 10498, 32, 2282, 1188, 5552, 203, 1070, 1202, 10498, 32, 2282, 32, 2602, 1188, 12742, 81, 8774, 203, 1070, 1202, 10498, 32, 2282, 1188, 8745, 203, 1070, 1202, 10498, 1188, 1359, 203, 1070, 1202, 10498, 32, 91, 35, 42, 96, 1188, 617, 203, 1070, 1202, 10498, 1188, 10625, 203, 1070, 1202, 10498, 32, 26878, 32, 2282, 1188, 1245, 203, 1070, 1202, 10498, 1188, 2404, 203, 3602, 280, 1245, 32, 10579, 4064, 426, 8223, 203, 14594, 280, 1359, 32, 14594, 203, 823, 3772, 1290, 26, 1473, 711, 284, 636, 280, 1665, 284, 477, 17614, 284, 665, 1015, 81, 2669, 81, 3922, 26, 6933, 30, 1361, 25882, 711, 291, 4118, 280, 1361, 25882, 32, 669, 81, 3922, 26, 6933, 32, 426, 30, 3049, 47, 6933, 3667, 1427, 8223, 291, 4118, 32, 470, 81, 10514, 26, 3515, 81, 823, 47, 6933, 27, 291, 442, 4118, 203, 823, 11298, 4764, 26, 1761, 1290, 711, 284, 636, 280, 330, 1199, 81, 5207, 25, 284, 477, 17614, 284, 665, 1015, 81, 2669, 81, 3922, 26, 6933, 30, 1361, 25882, 711, 291, 4118, 280, 2599, 26, 5141, 4764, 30, 9011, 547, 669, 81, 2669, 81, 3922, 26, 1113, 25882, 27, 291, 4118, 32, 669, 81, 2669, 463, 1648, 370, 1244, 47, 2521, 30, 34292, 1057, 20787, 1014, 3049, 37346, 41590, 322, 3500, 973, 372, 312, 3191, 330, 6619, 330, 1648, 32, 1670, 646, 3943, 30, 3082, 81, 5207, 1098, 330, 6619, 330, 20119, 322, 3500, 372, 322, 6615, 8967, 330, 6619, 330, 1648, 32, 2847, 291, 4118, 32, 669, 81, 2669, 12664, 6728, 370, 1244, 47, 2521, 30, 1014, 3049, 37346, 41590, 322, 3500, 436, 322, 3191, 330, 6619, 330, 6728, 32, 1670, 646, 3943, 30, 3082, 81, 5207, 1098, 330, 6619, 330, 20119, 322, 4942, 5338, 32, 2847, 291, 4118, 32, 669, 81, 2669, 12664, 22962, 370, 2125, 1057, 2157, 81, 1508, 370, 1014, 3049, 37346, 45596, 322, 3500, 623, 3219, 279, 706, 330, 6619, 330, 35604, 432, 21762, 1741, 10343, 32, 9287, 793, 330, 6619, 330, 578, 2470, 2685, 3974, 1169, 12522, 32, 330, 6619, 330, 2272, 2470, 438, 646, 13022, 623, 322, 330, 6619, 330, 1648, 556, 5016, 2075, 32, 330, 6619, 330, 2797, 646, 3943, 30, 3082, 81, 5207, 1098, 667, 330, 6619, 330, 7927, 1247, 32, 2847, 291, 442, 4118, 284, 477, 16099, 284, 665, 2575, 2262, 291, 1503, 280, 45623, 32, 2501, 32, 1648, 291, 5016, 280, 45623, 32, 2501, 32, 6728, 291, 18967, 280, 45623, 32, 2501, 32, 22962, 291, 415, 18967, 44, 324, 5016, 280, 330, 4332, 81, 605, 25, 291, 12742, 81, 8774, 32, 5207, 81, 4603, 81, 452, 81, 1648, 26, 6728, 30, 1503, 27, 203, 823, 11298, 2062, 26, 1761, 1290, 711, 284, 636, 280, 330, 1199, 81, 1648, 25, 284, 477, 17614, 284, 665, 1015, 81, 2669, 81, 3922, 26, 6933, 30, 1361, 25882, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 3, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 4, 4, 7, 7, 10, 9, 10, 10, 10, 9, 11, 10, 11, 9, 9, 10, 12, 11, 12, 12, 5, 5, 8, 9, 9, 9, 8, 10, 10, 10, 9, 10, 8, 5, 5, 6, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 4, 4, 7, 7, 11, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 10, 10, 9, 5, 5, 8, 9, 9, 9, 8, 10, 10, 8, 9, 10, 8, 8, 9, 11, 8, 8, 9, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 5, 5, 8, 9, 9, 9, 8, 10, 10, 8, 9, 10, 8, 8, 8, 9, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 5, 5, 8, 9, 9, 9, 8, 10, 10, 8, 9, 11, 11, 11, 11, 8, 8, 9, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 4, 4, 7, 7, 9, 10, 8, 9, 5, 5, 7, 7, 9, 10, 8, 9, 5, 5, 7, 7, 9, 10, 8, 9, 5, 5, 6, 6, 6, 6, 9, 9, 11, 11, 11, 11, 5, 5, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 9, 9, 0, 9, 9, 0, 10, 10, 0, 1, 2, 2, 2, 2, 10, 10, 0, 11, 11, 0, 11, 11, 0, 12, 12, 0, 1, 2, 1, 4, 12, 12, 0, 13, 13, 0, 13, 13, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 2, 0, 17, 17, 1, 2, 1, 1, 2, 17, 17, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 1, 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, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 3, 3, 3, 3, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 18, 18, 1, 2, 1, 1, 2, 18, 18, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2 ]
[ 1070, 48885, 39, 1188, 10701, 2852, 30, 34031, 30, 22066, 203, 823, 27178, 81, 21518, 26, 1473, 711, 284, 665, 4705, 10816, 26, 784, 30, 35478, 711, 291, 35478, 32, 23725, 440, 21518, 657, 291, 35478, 32, 18476, 5824, 543, 26, 30609, 32, 9071, 32, 3910, 5824, 27, 291, 35478, 32, 8510, 26, 42, 39, 35, 30, 225, 40, 34, 37, 27, 291, 1334, 4248, 280, 22066, 32, 32207, 4248, 26, 47935, 32, 32207, 4248, 32, 12255, 299, 30, 22066, 32, 32207, 4248, 32, 12255, 299, 27, 291, 1334, 4248, 32, 41132, 32588, 26, 34, 27, 291, 1334, 4248, 32, 470, 11920, 32588, 26, 34, 27, 291, 1334, 4248, 32, 470, 3024, 1562, 2611, 26, 21518, 32, 891, 4248, 922, 2040, 3024, 1562, 2611, 1157, 291, 35478, 32, 29596, 4248, 26, 891, 4248, 27, 291, 35478, 32, 47493, 26, 30609, 32, 32207, 26, 42, 34, 34, 30, 225, 40, 34, 34, 490, 291, 35478, 32, 34698, 1250, 26, 30609, 32, 32207, 26, 35, 40, 41, 41, 41, 36, 35, 39, 30, 225, 35, 40, 41, 41, 41, 36, 35, 39, 490, 291, 2357, 280, 34031, 32, 67, 3713, 346, 291, 2357, 32, 470, 1943, 1250, 26, 42, 27, 291, 35478, 32, 21643, 26, 2186, 27, 291, 35478, 32, 470, 3092, 2101, 26, 2700, 27, 291, 35478, 32, 470, 3999, 4735, 26, 47935, 32, 67, 3999, 3763, 32, 38739, 27, 291, 630, 32, 15785, 3763, 280, 22066, 32, 40079, 26, 21518, 27, 291, 630, 32, 15785, 3763, 32, 18836, 26, 1815, 27, 291, 1334, 4248, 280, 22066, 32, 32207, 4248, 26, 47935, 32, 32207, 4248, 32, 12255, 299, 30, 22066, 32, 32207, 4248, 32, 12255, 299, 27, 291, 1334, 4248, 32, 41132, 32588, 26, 34, 27, 291, 1334, 4248, 32, 470, 11920, 32588, 26, 34, 27, 291, 1334, 4248, 32, 470, 3024, 1562, 2611, 26, 784, 32, 15785, 3763, 32, 891, 4248, 922, 2040, 3024, 1562, 2611, 1157, 291, 630, 32, 15785, 3763, 32, 29596, 4248, 26, 891, 4248, 27, 291, 630, 32, 15785, 3763, 32, 47493, 26, 30609, 32, 32207, 26, 42, 34, 34, 30, 225, 39, 39, 34, 490, 291, 630, 32, 15785, 3763, 32, 23725, 440, 15785, 3763, 657, 291, 630, 32, 3365, 2344, 280, 22066, 32, 67, 48587, 26, 784, 32, 15785, 3763, 27, 291, 630, 32, 3365, 2344, 32, 23725, 440, 3365, 2344, 657, 291, 630, 32, 48098, 280, 22066, 32, 67, 34232, 26, 784, 32, 15785, 3763, 27, 291, 630, 32, 48098, 32, 18836, 26, 1815, 27, 291, 630, 32, 48098, 32, 470, 13980, 26, 30609, 32, 9071, 32, 11381, 27, 291, 630, 32, 48098, 32, 470, 7640, 871, 42161, 26, 2700, 27, 291, 630, 32, 48098, 32, 23725, 440, 48098, 657, 291, 630, 32, 1141, 3763, 280, 22066, 32, 40079, 26, 784, 32, 48098, 27, 291, 1334, 4248, 280, 22066, 32, 32207, 4248, 26, 47935, 32, 32207, 4248, 32, 8222, 30, 22066, 32, 32207, 4248, 32, 8222, 27, 291, 1334, 4248, 32, 41132, 32588, 26, 34, 27, 291, 1334, 4248, 32, 470, 11920, 32588, 26, 34, 27, 291, 1334, 4248, 32, 470, 3024, 1562, 2611, 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, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 9, 7, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9, 8, 11, 10, 11, 11, 9, 10, 10, 8, 8, 10, 11, 11, 9, 10, 10, 8, 4, 4, 8, 7, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 8, 7, 12, 11, 12, 12, 11, 10, 10, 10, 10, 9, 4, 4, 7, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 4, 4, 7, 8, 8, 7, 10, 9, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 10, 10, 8, 9, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9, 8, 11, 10, 11, 11, 9, 10, 10, 8, 8, 10, 11, 11, 9, 10, 10, 8, 4, 4, 8, 7, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 8, 7, 13, 12, 13, 13, 11, 12, 12, 11, 10, 10, 10, 10, 9, 4, 4, 8, 9, 9, 7, 8, 8, 7, 8, 8, 7, 4, 4, 8, 9, 9, 7, 8, 7, 10, 9, 10, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 7, 10, 9, 10, 8, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 7, 6, 6, 8, 9, 9, 8, 11, 10, 11, 11, 9, 10, 8, 8, 10, 11, 11, 9, 10, 8, 4, 4, 8, 7, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 8, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 3, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 3, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 3, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 1 ]
[ 465, 11685, 203, 1070, 15306, 1867, 32, 13889, 32, 2175, 32, 3209, 32, 18246, 32, 5000, 81, 410, 21488, 1188, 308, 10065, 7578, 6076, 1428, 21488, 22346, 6076, 26368, 1777, 7145, 30, 284, 7578, 6076, 1428, 21488, 22346, 6076, 8718, 7145, 30, 284, 7578, 6076, 1428, 21488, 22346, 6076, 1189, 13800, 7145, 30, 203, 27, 203, 19991, 32, 8447, 26, 284, 313, 2272, 2297, 438, 12687, 32, 5294, 793, 529, 46392, 32, 13889, 32, 2175, 32, 3209, 32, 18246, 32, 5000, 81, 410, 21488, 26650, 284, 18123, 367, 5711, 30, 284, 4138, 2649, 47, 36, 30, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 4, 3, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 3, 3, 3, 5, 4, 5, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 10, 10, 10, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 5, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 465, 11993, 203, 1070, 10011, 317, 290, 2204, 32, 1262, 2516, 1188, 4551, 6766, 203, 1070, 10011, 317, 290, 2204, 32, 2304, 1188, 827, 1553, 203, 823, 5025, 959, 26, 3542, 6766, 32, 12642, 711, 284, 617, 1293, 1473, 81, 5843, 44, 11993, 32, 1339, 1881, 77, 33477, 32, 12907, 4806, 77, 466, 30, 11993, 32, 4277, 3212, 284, 665, 622, 81, 1293, 26, 784, 711, 291, 1603, 280, 2149, 291, 436, 5601, 30, 9011, 328, 630, 1114, 1293, 1473, 81, 5843, 32, 3028, 2262, 324, 909, 280, 18623, 26, 784, 30, 5601, 27, 324, 1603, 77, 2437, 79, 280, 622, 81, 1293, 26, 6933, 30, 909, 27, 291, 442, 1603, 284, 665, 739, 81, 1293, 26, 784, 30, 1603, 711, 291, 1603, 280, 1603, 32, 2991, 346, 291, 436, 5601, 30, 9011, 328, 630, 1114, 1293, 1473, 81, 5843, 32, 3028, 2262, 324, 909, 280, 1603, 32, 3235, 26, 2437, 27, 324, 415, 909, 438, 1665, 44, 400, 39506, 26, 784, 30, 5601, 30, 909, 27, 324, 813, 44, 400, 9985, 280, 18623, 26, 784, 30, 5601, 30, 1665, 27, 400, 415, 19326, 26, 8945, 30, 313, 470, 81, 1293, 10280, 528, 9985, 32, 470, 81, 1293, 26, 695, 27, 400, 813, 44, 528, 39506, 26, 784, 30, 5601, 30, 1930, 81, 1473, 26, 6933, 30, 909, 490, 291, 415, 1603, 44, 324, 3636, 7310, 5711, 440, 10203, 5025, 328, 1156, 470, 1293, 26927, 16531, 1643, 26, 1293, 490, 203, 589, 617, 2416, 26, 681, 1338, 44, 827, 1553, 32, 620, 30, 909, 44, 11993, 32, 4277, 30, 1930, 44, 1560, 27, 967, 11993, 32, 4277, 44, 284, 415, 909, 438, 1665, 44, 291, 442, 1665, 284, 4348, 1930, 461, 19326, 26, 681, 1338, 30, 313, 1070, 81, 1293, 10280, 291, 442, 827, 1338, 32, 1070, 81, 1293, 26, 695, 27, 284, 4348, 646, 1930, 461, 19326, 26, 695, 30, 313, 371, 81, 1293, 10280, 291, 442, 909, 32, 371, 81, 1293, 346, 284, 7247, 280, 596, 26, 681, 1338, 27, 284, 415, 7247, 32, 15990, 440, 33477, 32, 720, 10280, 291, 394, 280, 827, 1553, 32, 7508, 81, 681, 26, 681, 1338, 27, 291, 442, 20300, 2416, 26, 70, 30, 816, 30, 1930, 27, 436, 816, 328, 909, 79, 284, 4348, 7247, 32, 15990, 440, 33477, 32, 8924, 10280, 291, 31124, 280, 827, 1553, 32, 7288, 81, 2516, 26, 681, 1338, 27, 291, 415, 2069, 26, 16063, 27, 863, 2069, 26, 695, 711, 324, 3636, 10091, 440, 3817, 706, 32, 11963, 6663, 5424, 2149, 35145, 1643, 26, 16063, 30, 909, 490, 291, 442, 8825, 26, 324, 617, 2416, 26, 70, 30, 816, 30, 1930, 27, 436, 394, 30, 816, 328, 8529, 26, 16063, 30, 909, 27, 291, 829, 284, 4348, 7247, 32, 15990, 440, 33477, 32, 7167, 10280, 291, 831, 81, 6933, 30, 354, 81, 6933, 280, 827, 1553, 32, 9387, 81, 2516, 26, 681, 1338, 27, 291, 442, 301, 324, 617, 2416, 26, 93, 81, 6933, 30, 831, 30, 1930, 711, 617, 2416, 26, 104, 81, 6933, 30, 354, 30, 1930, 27, 324, 436, 831, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 8, 8, 6, 9, 8, 9, 9, 7, 8, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 5, 5, 8, 9, 9, 9, 9, 7, 8, 7, 5, 5, 8, 8, 10, 11, 10, 10, 10, 6, 6, 9, 10, 9, 8, 8, 10, 10, 10, 11, 10, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 8, 9, 9, 9, 9, 7, 8, 7, 5, 5, 8, 8, 10, 11, 10, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 11, 11, 11, 11, 11, 7, 7, 8, 8, 8, 11, 11, 13, 14, 13, 13, 13, 13, 13, 9, 9, 10, 12, 13, 12, 12, 14, 14, 14, 14, 10, 10, 14, 15, 15, 15, 14, 15, 14, 10, 10, 11, 11, 11, 15, 16, 15, 15, 15, 15, 17, 17, 17, 18, 17, 17, 17, 4, 4, 5, 5, 5, 5, 7, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 11, 0, 1, 1, 2, 2, 4, 4, 3, 3, 6, 5, 6, 2, 2, 3, 3, 5, 6, 2, 2, 3, 3, 2, 1, 1, 3, 4, 1, 1, 1, 3, 4, 4, 3, 3, 3, 5, 3, 3, 4, 5, 5, 7, 8, 8, 7, 7, 9, 9, 9, 9, 4, 4, 6, 9, 8, 9, 9, 9, 8, 9, 8, 3, 3, 4, 6, 5, 5, 7, 8, 7, 7, 9, 9, 9, 9, 4, 4, 6, 8, 9, 9, 9, 8, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 9, 9, 8, 4, 4, 5, 8, 8, 9, 8, 8, 8, 8, 8, 6, 7, 7, 7, 6, 3, 3, 4, 6, 7, 6, 8, 8, 8, 8, 4, 4, 7, 7, 10, 9, 10, 10, 10, 9, 10, 10, 9, 5, 5, 6, 9, 10, 9, 7, 7, 9, 10, 9, 6, 6, 8, 10, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 13, 12, 12, 12, 5, 5, 6, 8, 8, 8, 10, 10, 11, 10, 10, 10, 10, 10, 8, 9, 10, 10, 9, 9, 11, 12, 11, 11, 11, 8, 8, 3, 3, 4, 6, 7, 6, 8, 8, 8, 8, 4, 4, 9, 9, 8, 8, 9, 9, 7, 7, 10, 9, 10, 10, 10, 9, 10, 10, 9, 5, 5, 6, 7, 7, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 8, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 7, 7, 8, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 0, 4, 4, 1, 2, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 5, 5, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 3, 3, 0, 2, 2, 2, 5, 5, 2, 5, 5, 0, 2, 5, 5, 5, 0, 1, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 2, 2, 2, 1, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 0, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1 ]
[ 465, 5237, 203, 3731, 32, 983, 32, 1689, 3247, 2215, 33, 1696, 33, 5876, 33, 20478, 33, 8312, 32, 2846, 33, 12778, 33, 36, 32, 40, 33, 1356, 33, 2958, 36, 32, 40, 33, 2851, 31, 5043, 683, 203, 465, 2322, 203, 465, 9226, 203, 465, 9226, 32, 1356, 32, 893, 7128, 619, 24176, 203, 465, 5741, 203, 465, 3570, 203, 1070, 31074, 1188, 319, 203, 1070, 4134, 1188, 1623, 18241, 203, 1070, 35381, 1188, 4361, 203, 325, 3570, 32, 302, 81, 2420, 26, 2957, 32, 1163, 710, 1840, 7199, 4902, 4898, 37886, 284, 1188, 2156, 4126, 284, 645, 2156, 4126, 1188, 6677, 30, 3857, 8463, 203, 823, 17780, 3669, 26, 9263, 32, 3669, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 30, 804, 30, 8621, 6593, 35, 711, 291, 9226, 32, 3669, 3667, 1664, 3207, 784, 30, 2935, 30, 804, 30, 1418, 47, 9263, 32, 2576, 81, 33425, 27, 291, 630, 32, 8996, 280, 8621, 291, 630, 32, 3625, 280, 3857, 8463, 32, 4126, 1922, 7129, 11874, 26, 8996, 27, 291, 9226, 1275, 280, 9226, 32, 1658, 463, 5379, 33, 5353, 33, 8996, 31, 731, 31, 35, 36, 42, 32, 1645, 683, 291, 630, 32, 731, 9379, 280, 9226, 1275, 32, 39993, 9379, 346, 291, 630, 1114, 731, 280, 225, 34, 291, 630, 32, 2157, 280, 9823, 346, 291, 630, 32, 3726, 26, 9263, 32, 32830, 81, 29617, 30, 630, 32, 267, 16321, 27, 284, 665, 544, 16321, 26, 784, 30, 1692, 711, 291, 415, 630, 32, 3625, 610, 1665, 44, 4288, 3857, 8463, 32, 4126, 5813, 11874, 26, 784, 32, 3625, 27, 23688, 630, 32, 3625, 280, 3857, 8463, 32, 4126, 1922, 7129, 11874, 26, 784, 32, 8996, 27, 4288, 630, 32, 2751, 924, 26, 784, 32, 731, 9379, 30, 308, 35, 36, 42, 30, 225, 35, 36, 42, 490, 324, 3636, 15919, 924, 463, 12014, 372, 2156, 8621, 30, 11322, 299, 2261, 683, 324, 1692, 32, 11393, 346, 291, 1596, 44, 324, 4791, 280, 3857, 8463, 32, 4126, 1625, 2136, 26, 784, 32, 3625, 27, 291, 2940, 6677, 36, 32, 731, 619, 484, 44, 324, 3636, 15919, 924, 463, 924, 1412, 38654, 436, 3118, 44, 301, 34, 16805, 1643, 26, 87, 490, 291, 630, 1114, 731, 280, 225, 34, 16189, 4791, 280, 2156, 4126, 32, 4126, 936, 2982, 26, 1275, 27, 291, 6677, 32, 4126, 53, 10093, 1514, 26, 1275, 30, 4791, 30, 6677, 32, 8155, 81, 24509, 36, 7807, 27, 291, 415, 3570, 32, 302, 81, 2420, 26, 2957, 32, 1163, 710, 1840, 7199, 4902, 16126, 33575, 37886, 324, 6677, 32, 4126, 12955, 26, 1275, 30, 308, 42, 34, 30, 429, 35, 471, 308, 39, 40, 34, 30, 225, 38, 42, 34, 471, 308, 36, 34, 39, 32, 34, 30, 225, 34, 32, 34, 30, 225, 34, 32, 34, 30, 225, 34, 32, 34, 471, 225, 36, 27, 291, 630, 32, 2751, 1658, 26, 1275, 27, 291, 1692, 32, 1104, 8892, 346, 284, 665, 2156, 26, 784, 30, 8621, 6593, 35, 711, 291, 630, 32, 3625, 280, 3857, 8463, 32, 4126, 1922, 7129, 11874, 26, 8996, 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, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 4, 4, 4, 3, 7, 6, 7, 5, 7, 7, 7, 6, 6, 1, 1, 3, 5, 2, 2, 3, 5, 3, 3, 3, 3, 5, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 7, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 10, 9, 10, 10, 10, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 9, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 10, 9, 10, 10, 10, 9, 11, 10, 11, 9, 6, 6, 9, 10, 8, 8, 11, 10, 11, 11, 11, 11, 10, 12, 11, 12, 10, 6, 6, 9, 10, 10, 9, 11, 10, 11, 11, 9, 9, 11, 11, 11, 10, 10, 11, 11, 11, 10, 6, 6, 7, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 9, 4, 4, 5, 5, 5, 8, 8, 11, 10, 11, 11, 11, 10, 12, 11, 12, 10, 5, 5, 6, 9, 8, 9, 7, 7, 6, 6, 6, 8, 10, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 13, 12, 4, 4, 7, 8, 6, 6, 7, 4, 4, 6, 6, 9, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 7, 4, 4, 5, 7, 8, 8, 8, 7, 11, 10, 11, 9, 11, 11, 11, 10, 10, 10, 5, 5, 9, 10, 10, 9, 10, 9, 9, 11, 11, 10, 10, 12, 10, 9, 11, 11, 11, 10, 10, 11, 11, 11, 10, 9, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 9, 10, 9, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 5, 7, 4, 3, 3, 7, 8, 6, 6, 9, 8, 9, 9, 9, 9, 8, 9, 8 ]
[ 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 2, 0, 4, 4, 1, 1, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 0, 0, 9, 9, 9, 9, 0, 10, 10, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 10, 10, 0, 0, 3, 3, 1, 0, 1, 1, 1, 1, 0, 0, 11, 11, 1, 2, 0, 1, 2, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 0, 0, 2, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 2, 1, 4, 4, 5, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 5, 5, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 1, 1, 1, 1, 5, 5, 3, 3, 3, 5, 1, 1, 1, 1, 1, 1, 7, 7, 3, 3, 3, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 1, 9, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1 ]
[ 465, 9226, 203, 1070, 9226, 32, 1356, 32, 29744, 1188, 2547, 619, 40128, 203, 1270, 44, 284, 645, 1894, 105, 1188, 11913, 22451, 619, 296, 1490, 203, 7343, 29986, 44, 10065, 1188, 9226, 32, 1356, 32, 481, 105, 32, 6849, 22451, 619, 296, 1490, 203, 465, 12500, 203, 24411, 32, 539, 463, 20284, 32308, 683, 203, 465, 6867, 37535, 203, 465, 6867, 8104, 203, 465, 6867, 21485, 203, 465, 6867, 1705, 2444, 297, 4750, 203, 465, 6867, 35567, 203, 1070, 337, 6521, 4280, 32, 4627, 32, 4557, 11689, 2031, 1188, 20886, 11689, 1120, 203, 465, 5741, 203, 4073, 280, 7490, 32, 10579, 463, 1831, 683, 203, 77, 9263, 779, 81, 45734, 35, 30, 9226, 779, 81, 12908, 13946, 30, 9226, 779, 81, 12908, 26123, 30, 9226, 779, 81, 12908, 39123, 30, 203, 9226, 779, 81, 43686, 2347, 19930, 30, 9226, 779, 81, 66, 1614, 1218, 2331, 940, 527, 12145, 30, 9226, 779, 81, 18059, 46599, 69, 203, 79, 280, 428, 9263, 32, 1812, 606, 346, 436, 617, 1664, 81, 7526, 101, 328, 2155, 26, 41, 2177, 203, 823, 45360, 11689, 26, 88, 1490, 32, 12416, 25638, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 30, 2899, 1786, 711, 291, 630, 32, 2795, 1786, 280, 2899, 1786, 291, 630, 1114, 1664, 81, 7526, 101, 26, 2544, 27, 291, 630, 32, 1664, 6722, 1721, 346, 291, 630, 32, 2544, 280, 2935, 284, 665, 617, 1664, 81, 7526, 101, 26, 784, 30, 2935, 711, 291, 296, 1490, 32, 12416, 25638, 3667, 1664, 3207, 784, 30, 804, 47, 9263, 779, 81, 18059, 46599, 69, 30, 636, 47, 103, 1330, 360, 66, 7864, 370, 6619, 2935, 47, 2544, 30, 3400, 47, 9263, 32, 1943, 26, 34, 30, 225, 34, 471, 1334, 47, 9263, 32, 1250, 26, 38, 43, 35, 30, 225, 36, 42, 42, 471, 6619, 1894, 105, 2275, 47, 88, 1490, 32, 8044, 52, 81, 2576, 3561, 1614, 523, 296, 1490, 32, 8044, 52, 81, 40491, 81, 18059, 69, 27, 291, 630, 32, 6073, 7146, 280, 6867, 37535, 32, 3399, 37535, 26, 314, 47, 9263, 779, 81, 66, 1614, 1218, 2331, 940, 527, 12145, 30, 636, 1057, 6073, 7146, 370, 17739, 2935, 47, 784, 30, 3400, 47, 9263, 32, 1943, 26, 34, 30, 225, 34, 471, 1334, 47, 9263, 32, 1250, 26, 40, 34, 39, 30, 225, 38, 39, 42, 471, 17739, 1418, 47, 9263, 32, 18059, 81, 12512, 47768, 27, 291, 630, 32, 1103, 1969, 26, 784, 32, 6073, 7146, 30, 330, 37535, 683, 291, 630, 32, 6073, 9944, 280, 6867, 35567, 32, 3399, 9944, 26, 314, 47, 9263, 779, 81, 12908, 39123, 30, 636, 1057, 6073, 9944, 370, 4180, 2935, 47, 784, 30, 3400, 47, 9263, 32, 1943, 26, 34, 30, 225, 34, 471, 1334, 47, 9263, 32, 1250, 26, 40, 34, 39, 30, 225, 38, 39, 42, 471, 4180, 1418, 47, 9263, 32, 18059, 81, 12512, 47768, 27, 291, 630, 32, 1103, 1969, 26, 784, 32, 6073, 9944, 30, 330, 9944, 32678, 543, 683, 291, 630, 32, 6073, 21012, 280, 6867, 21485, 32, 3399, 21012, 26, 314, 47, 9263, 779, 81, 12908 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 5, 3, 3, 6, 4, 4, 5, 1, 2, 2, 2, 2, 2, 4, 6, 7, 6, 7, 7, 6, 7, 7, 5, 5, 6, 0, 1, 1, 0, 4, 3, 4, 3, 5, 5, 5, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 3, 2, 5, 4, 5, 4, 6, 6, 0, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 2, 6, 5, 6, 6, 5, 3, 4, 5, 5, 5, 5, 4, 4, 6, 7, 6, 0, 1, 1, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 8, 9, 9, 7, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 9, 9, 7, 7, 8, 10, 10, 10, 10, 10, 10, 7, 7, 8, 9, 7, 7, 8, 11, 10, 11, 10, 11, 10, 10, 11, 10, 7, 8, 11, 10, 11, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 7, 7, 9, 9, 8, 11, 11, 10, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 11, 11, 11, 11, 11, 11, 11, 7, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 11, 11, 11, 8, 8, 9, 10, 8, 8, 9, 12, 11, 12, 11, 12, 11, 11, 12, 11, 8, 9, 12, 11, 12, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 8, 8, 9, 11, 10, 11, 11, 11, 11, 8, 4, 4, 7, 8, 8, 7, 9, 8, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 8, 9, 11, 11, 11, 8, 8, 9, 10, 8, 8, 9, 12, 11, 12, 11, 12, 11, 11, 12, 11, 8, 9, 12, 11, 12, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 8, 8, 9, 11, 10, 11, 11, 11, 11, 8, 4, 4, 7, 8, 8, 7, 9, 8, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 9, 8, 10, 9, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 3, 3, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 0, 2, 0, 4, 4, 0, 6, 6, 1, 1, 2, 0, 3, 3, 0, 0, 0, 2, 1, 1, 1, 2, 0, 5, 5, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 0, 10, 10, 0, 0, 1, 2, 1, 4, 4, 4, 10, 10, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 5, 5, 5, 5, 0, 0, 7, 7, 7, 7, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 0, 13, 13, 13, 13, 13, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 14, 14, 1, 2, 0, 0, 1, 2, 2, 2, 14, 14, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 0, 0, 1, 1, 1, 2, 1, 1, 7, 2, 1, 1, 9, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 11, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 13, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 1, 1, 2, 1, 1, 5, 2, 1, 1, 7, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 9, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 11, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 1, 1, 2, 1, 1, 5, 2, 1, 1, 7, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 9, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 11, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 505, 464, 505, 280, 2884, 371, 81, 2157, 392, 313, 1297, 81, 2157, 392, 313, 1175, 5965, 392, 2607, 313, 3694, 15492, 17951, 657, 203, 1070, 30408, 618, 2157, 32, 1903, 1188, 7422, 3711, 203, 1070, 30408, 618, 2157, 32, 39614, 1188, 3909, 81, 5057, 203, 589, 617, 1553, 81, 3550, 26, 3550, 711, 284, 2129, 81, 3494, 280, 2884, 39876, 1710, 15842, 81, 2413, 392, 313, 39876, 1710, 15842, 81, 17903, 81, 9193, 392, 3486, 313, 12159, 10656, 81, 13381, 81, 8094, 392, 313, 12159, 10656, 81, 2554, 81, 4975, 392, 3486, 313, 12159, 10656, 81, 2554, 81, 9691, 657, 284, 436, 3616, 81, 678, 328, 2129, 81, 3494, 44, 291, 1596, 44, 324, 18623, 26, 3550, 30, 3616, 81, 678, 27, 291, 2940, 29316, 44, 324, 3636, 29316, 440, 1318, 4070, 803, 438, 5816, 322, 25937, 101, 1492, 1202, 20, 904, 3616, 81, 678, 27, 284, 415, 4070, 32, 39876, 1710, 15842, 81, 2413, 32, 15990, 440, 17022, 555, 10280, 291, 3636, 22210, 203, 589, 617, 371, 81, 1903, 81, 1055, 26, 3550, 711, 284, 3233, 81, 1055, 81, 983, 280, 4070, 32, 39876, 1710, 15842, 81, 17903, 81, 9193, 284, 415, 3233, 81, 1055, 81, 983, 438, 1665, 44, 291, 442, 1665, 284, 442, 7422, 3711, 26, 1903, 81, 1055, 81, 983, 27, 203, 589, 622, 81, 2157, 26, 3550, 30, 4588, 47, 2521, 30, 2267, 81, 1297, 47, 2700, 711, 284, 617, 1553, 81, 3550, 26, 3550, 27, 284, 415, 4588, 438, 1665, 44, 291, 4588, 280, 18623, 26, 3550, 30, 313, 39876, 1710, 15842, 81, 2897, 392, 3177, 27, 284, 3233, 81, 1055, 280, 617, 371, 81, 1903, 81, 1055, 26, 3550, 27, 284, 415, 18623, 26, 3550, 30, 313, 39876, 1710, 15842, 81, 4855, 81, 635, 3485, 392, 3177, 711, 291, 645, 30408, 618, 2157, 32, 21313, 1188, 622, 81, 21313, 81, 2157, 291, 2968, 280, 622, 81, 21313, 81, 2157, 26, 3550, 30, 3233, 81, 1055, 30, 4588, 30, 2267, 81, 1297, 27, 284, 813, 44, 291, 645, 30408, 618, 2157, 32, 2496, 1188, 622, 81, 2496, 81, 2157, 291, 2968, 280, 622, 81, 2496, 81, 2157, 26, 3550, 30, 3233, 81, 1055, 30, 4588, 30, 2267, 81, 1297, 27, 284, 415, 3233, 81, 1055, 438, 646, 1665, 461, 3233, 81, 1055, 32, 23800, 81, 13874, 2262, 291, 415, 2267, 81, 1297, 44, 324, 3233, 81, 1055, 32, 13874, 26, 2157, 27, 291, 813, 44, 324, 2968, 32, 2679, 346, 324, 3636, 9042, 15492, 17951, 346, 284, 3909, 81, 5057, 346, 284, 442, 2968, 203, 589, 1487, 81, 2157, 26, 3550, 30, 4588, 47, 2521, 711, 284, 617, 1553, 81, 3550, 26, 3550, 27, 284, 415, 4588, 438, 1665, 44, 291, 4588, 280, 18623, 26, 3550, 30, 313, 39876, 1710, 15842, 81, 2897, 392, 3177, 27, 284, 3233, 81, 1055, 280, 617, 371, 81, 1903, 81, 1055, 26, 3550, 27, 284, 415, 18623, 26, 3550, 30, 313, 39876, 1710, 15842, 81, 4855, 81, 635, 3485, 392, 3177, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 5, 5, 5, 9, 10, 9, 9, 10, 10, 9, 5, 5, 6, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 14, 13, 13, 11, 11, 12, 12, 10, 2, 2, 3, 6, 7, 7, 7, 7, 7, 5, 6, 5, 7, 7, 7, 3, 3, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 2, 2, 3, 5, 5, 6, 6, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 6, 5, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 3, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 5, 7, 7, 6, 7, 5, 5, 7, 7, 7, 7, 4, 4, 6, 6, 8, 8, 8, 8, 8, 9, 8, 8, 9, 9, 8, 8, 8, 8, 9, 9, 8, 3, 3, 4, 4, 4, 6, 8, 8, 7, 8, 6, 6, 8, 8, 8, 8, 5, 5, 7, 7, 9, 9, 9, 9, 9, 10, 9, 9, 10, 10, 9, 9, 9, 9, 10, 10, 9, 2, 2, 3, 6, 6, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 6, 3, 3, 5, 6, 6, 5, 5, 5, 10, 10, 9, 10, 9, 10, 9, 5, 5, 6, 6, 6, 10, 11, 10, 7, 7, 8, 10, 10, 10, 2, 2, 5, 5, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 5, 5, 5, 5, 6, 5, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 3, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 6, 6, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 7, 7, 1, 3, 3, 4, 4, 4, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 7, 7, 1, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 1, 2, 2, 1, 0, 0, 1, 4, 4, 0, 0, 1, 4, 4, 6, 0, 7, 7, 1, 1, 2, 1, 2, 2, 3, 2, 2, 7, 7, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1 ]
[ 1070, 10245, 1188, 23501, 203, 1070, 8527, 32, 2304, 32, 17213, 1188, 2196, 518, 203, 465, 7138, 203, 1070, 3639, 4785, 32, 17056, 2983, 352, 1188, 45187, 30, 5022, 8220, 203, 1070, 3639, 4785, 32, 1356, 32, 9660, 1188, 328, 380, 203, 1070, 3639, 4785, 32, 17056, 2983, 352, 1188, 5548, 30, 5548, 2275, 203, 1070, 8527, 32, 1199, 1188, 4549, 30, 3387, 203, 1070, 5296, 32, 3378, 1188, 29912, 318, 959, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 4950, 1044, 33170, 203, 1070, 7260, 32, 3378, 1188, 12141, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 2074, 32, 3378, 1188, 5570, 30, 41247, 30, 1974, 81, 643, 81, 5545, 30, 766, 284, 31879, 81, 24276, 81, 12744, 30, 31879, 81, 24276, 30, 4158, 8346, 726, 81, 6103, 81, 28442, 1345, 30, 41247, 2352, 30, 766, 284, 676, 722, 81, 22632, 940, 81, 36, 81, 35, 30, 676, 722, 81, 22632, 940, 81, 39, 81, 39, 30, 676, 722, 81, 22632, 940, 81, 35, 43, 81, 40, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 45998, 1196, 1188, 10720, 30, 7507, 30, 7462, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 28771, 1188, 2364, 81, 2853, 30, 1406, 81, 2853, 30, 2364, 81, 2560, 203, 1070, 8527, 32, 1262, 32, 24894, 1188, 7462, 882, 7063, 203, 1070, 13077, 32, 2304, 32, 4682, 1188, 32731, 3442, 203, 26203, 81, 2319, 81, 53, 7877, 280, 225, 35, 203, 26203, 81, 2319, 81, 44449, 81, 23642, 280, 225, 36, 203, 26203, 81, 2319, 81, 29776, 280, 225, 37, 203, 26203, 81, 2319, 81, 6229, 280, 225, 38, 203, 26203, 81, 2319, 81, 16546, 28965, 280, 225, 39, 203, 26203, 81, 2319, 81, 852, 5670, 280, 225, 40, 203, 26203, 81, 2319, 280, 1833, 26203, 81, 2319, 81, 53, 7877, 30, 30121, 23198, 13356, 400, 308, 26203, 81, 2319, 81, 44449, 81, 23642, 30, 30121, 12176, 3635, 13356, 400, 308, 26203, 81, 2319, 81, 29776, 30, 30121, 8573, 13356, 400, 308, 26203, 81, 2319, 81, 6229, 30, 30121, 2140, 13356, 400, 308, 26203, 81, 2319, 81, 16546, 28965, 30, 30121, 8691, 11542, 13356, 400, 308, 26203, 81, 2319, 81, 852, 5670, 30, 30121, 42711, 21180, 203, 823, 9665, 838, 26, 26216, 959, 711, 284, 2340, 280, 4549, 32, 1547, 1176, 26, 10529, 81, 426, 11645, 463, 1547, 1425, 3049, 81, 878, 11645, 463, 1643, 44, 12198, 33, 583, 33, 12718, 1425, 3082, 81, 1055, 47, 1815, 27, 284, 4121, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 39, 34, 30, 11771, 47, 1815, 30, 744, 47, 1815, 30, 9541, 81, 426, 11645, 463, 3564, 2847, 284, 28156, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 41, 34, 30, 11771, 47, 1815, 30, 744, 47, 1815, 30, 9541, 81, 426, 11645, 463, 17612, 2847, 284, 5168, 280, 4549, 32, 7697, 1176, 26, 1449, 81, 17980, 47, 35, 36, 30, 10245, 81, 15778, 47, 36, 30, 9541, 81, 426, 11645, 463, 5946, 2847, 284, 11837, 81, 681, 280, 4549, 32, 30400, 26, 19833, 47, 26203, 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, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 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, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 3, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 3, 3, 5, 5, 5, 5, 5, 4, 4, 8, 8, 3, 3, 5, 5, 5, 5, 5, 4, 4, 8, 8, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 8, 8, 7, 9, 11, 11, 6, 8, 8, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 6, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 8, 8, 7, 9, 11, 11, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 8, 8, 7, 9, 11, 11, 2, 2, 4, 4, 6, 7, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 8, 8, 7, 8, 6, 6, 8, 8, 7, 9, 11, 11, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 2, 2, 3, 3, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 2, 2, 5, 5, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 3, 3, 8, 0, 0, 9, 9, 1, 2, 9, 9, 0, 10, 10, 1, 2, 1, 4, 4, 10, 10, 0, 11, 11, 1, 2, 11, 11, 11, 11, 11, 11, 0, 0, 0, 0, 11, 11, 9, 11, 0, 0, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 11, 11, 18, 11, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 1, 2, 1, 4, 1, 6, 6, 12, 12, 12, 12, 12, 12, 0, 13, 13, 1, 2, 1, 4, 1, 6, 13, 13, 0, 0, 13, 13, 0, 0, 13, 13, 0, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 2, 2, 2, 1, 1, 1, 1, 1, 7, 7, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 11, 11, 1, 2, 0, 23, 23, 1, 2, 1, 1, 2, 23, 23, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 5, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2 ]
[ 465, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 9042, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 1297, 81, 1274, 26, 103, 25, 5983, 81, 1113, 496, 370, 308, 324, 308, 103, 25, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 24174, 4457, 81, 678, 47, 1815, 3662, 324, 2726, 496, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 3582, 23468, 1176, 24174, 10513, 81, 426, 1057, 1113, 496, 370, 5799, 47, 1815, 30, 372, 47, 494, 710, 2393, 32, 1240, 3490, 471, 291, 9658, 291, 3082, 32, 2714, 81, 1297, 81, 7295, 26, 103, 25, 5983, 370, 2107, 1113, 496, 3490, 291, 345, 36, 95, 81, 1274, 81, 426, 280, 3082, 32, 4021, 272, 81, 426, 26, 103, 25, 5983, 81, 1113, 496, 81, 2225, 683, 291, 3082, 32, 1297, 81, 1274, 26, 95, 36, 95, 81, 1274, 81, 426, 30, 308, 324, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 10529, 81, 426, 1057, 779, 370, 7458, 81, 678, 47, 1815, 30, 2267, 81, 4524, 47, 1815, 3662, 324, 2726, 1113, 496, 370, 4549, 32, 13343, 26, 494, 77, 103, 25, 5983, 32, 1113, 496, 2188, 744, 47, 2700, 3662, 324, 2726, 2225, 370, 4549, 32, 13343, 26, 494, 77, 103, 25, 12937, 32, 2225, 2188, 744, 47, 2700, 490, 291, 9658, 291, 3082, 32, 1297, 81, 5665, 26, 95, 36, 95, 81, 1274, 81, 426, 30, 2107, 1113, 496, 81, 314, 370, 330, 2225, 81, 314, 3490, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 1274, 26, 103, 25, 5983, 81, 1113, 496, 683, 291, 3082, 32, 2560, 81, 1274, 26, 1199, 32, 4021, 272, 81, 426, 26, 103, 25, 5983, 81, 1113, 496, 81, 2225, 2847, 284, 4549, 280, 301, 291, 1044, 25, 2393, 32, 1363, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 1564, 8885, 324, 1044, 25, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 42, 34, 45306, 324, 330, 11893, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 46046, 1176, 370, 5518, 5053, 452, 950, 1044, 20, 494, 710, 2393, 32, 7040, 785, 392, 330, 7919, 46819, 1578, 950, 330, 2700, 370, 330, 5006, 950, 330, 1815, 18143, 291, 801, 291, 1044, 25, 2393, 32, 9198, 950, 301, 324, 330, 4232, 950, 5053, 24576, 950, 11608, 103, 25, 1286, 81, 681, 505, 725, 81, 1172, 370, 1044, 25, 1286, 81, 681, 505, 1160, 370, 1044, 25, 10762, 2004, 683, 392, 330, 5665, 81, 36202, 950, 313, 1162, 103, 25, 1286, 81, 681, 370, 1044, 25, 10762, 2004, 1425 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 14, 14, 14, 11, 12, 13, 11, 11, 12, 14, 13, 15, 15, 15, 15, 9, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 7, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 11, 11, 9, 11, 12, 12, 11, 13, 13, 13, 12, 14, 14, 11, 13, 13, 12, 13, 11, 11, 13, 13, 12, 13, 11, 8, 8, 11, 11, 11, 9, 11, 12, 11, 13, 12, 14, 14, 14, 14, 14, 14, 14, 11, 12, 13, 11, 8, 8, 11, 11, 9, 11, 12, 11, 13, 12, 14, 14, 14, 14, 14, 14, 11, 12, 13, 11, 8, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 3, 3, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 0, 2, 1, 1, 1, 2, 3, 3, 3, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 1, 3, 3, 1, 1, 2, 3, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 1, 2, 5, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 5, 1, 2, 5, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 14785, 32, 1262, 32, 3938, 1188, 1359, 81, 4365, 36, 203, 1070, 14785, 32, 2958, 32, 87, 1209, 1188, 1619, 203, 1070, 14785, 32, 2958, 32, 87, 1209, 1188, 667, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 894, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 894, 81, 1040, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 16526, 81, 104, 36, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3498, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 706, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 35750, 81, 3106, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 8482, 81, 955, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 4257, 424, 203, 1070, 14785, 32, 2958, 32, 1040, 1188, 8248, 203, 823, 1336, 86, 72, 36, 1006, 26, 858, 32, 7233, 711, 334, 665, 617, 858, 21808, 26, 784, 30, 861, 81, 3359, 30, 901, 81, 3359, 30, 5683, 81, 9359, 30, 6985, 81, 2665, 47, 2521, 711, 284, 415, 646, 6985, 81, 2665, 44, 397, 6985, 81, 2665, 280, 2149, 284, 623, 630, 32, 2848, 26, 2255, 47, 4156, 32, 371, 81, 1536, 81, 2255, 1157, 619, 13597, 44, 397, 4626, 280, 1417, 81, 4156, 32, 10335, 26, 48507, 32, 2420, 30, 636, 347, 8293, 657, 397, 2799, 280, 3498, 81, 1867, 81, 4156, 32, 1328, 26, 8293, 30, 861, 81, 3359, 30, 901, 81, 3359, 30, 636, 347, 3140, 657, 397, 4648, 280, 16526, 81, 104, 36, 32, 1328, 81, 104, 36, 26, 8293, 30, 861, 81, 3359, 30, 901, 81, 3359, 30, 636, 347, 7975, 657, 397, 2799, 81, 4943, 280, 35750, 81, 3106, 32, 44473, 26, 3140, 30, 5683, 81, 9359, 27, 397, 4648, 81, 4943, 280, 35750, 81, 3106, 32, 44473, 26, 7975, 30, 5683, 81, 9359, 27, 397, 13597, 81, 1945, 81, 1132, 280, 301, 8293, 44, 2933, 111, 397, 13597, 81, 1945, 81, 1132, 32, 1877, 26, 6528, 81, 2665, 27, 397, 2799, 81, 695, 30, 4648, 81, 695, 30, 2799, 81, 4943, 81, 695, 30, 4648, 81, 4943, 81, 695, 280, 13597, 32, 1945, 26, 616, 308, 3140, 30, 4648, 30, 2799, 81, 4943, 30, 4648, 81, 4943, 471, 13597, 81, 1945, 81, 1132, 27, 397, 630, 32, 5299, 26, 3140, 81, 695, 30, 4648, 81, 695, 27, 397, 630, 32, 5299, 26, 3140, 81, 4943, 81, 695, 30, 4648, 81, 4943, 81, 695, 27, 397, 13597, 81, 1945, 81, 1132, 280, 301, 8293, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 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, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 4, 4, 5, 10, 11, 10, 12, 11, 14, 13, 14, 14, 14, 14, 14, 13, 8, 8, 5, 5, 5, 8, 8, 11, 11, 10, 11, 10, 12, 11, 12, 10, 10, 11, 13, 13, 6, 6, 8, 8, 11, 11, 11, 11, 10, 11, 10, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 13, 13, 6, 6, 8, 8, 11, 11, 11, 10, 11, 11, 11, 11, 10, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 13, 13, 6, 6, 9, 9, 8, 8, 11, 11, 10, 11, 10, 11, 10, 10, 11, 11, 10, 6, 6, 9, 9, 8, 8, 11, 11, 10, 11, 10, 11, 10, 10, 11, 11, 10, 6, 6, 9, 9, 9, 9, 8, 8, 11, 10, 10, 9, 6, 6, 10, 10, 10, 10, 9, 10, 9, 10, 10, 10, 9, 6, 6, 10, 10, 9, 9, 10, 10, 9, 9, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 8, 8, 10, 11, 10, 10, 10, 12, 11, 11, 11, 11, 12, 12, 11, 11, 12, 12, 11, 10, 11, 11, 11, 11, 10, 6, 6, 9, 10, 9, 10, 10, 10, 9, 9, 10, 10, 9, 6, 6, 9, 10, 9, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 9, 6, 6, 9, 9, 9, 9, 8, 8, 11, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 0, 0, 0, 0, 18, 18, 1, 2, 1, 4, 18, 18, 0, 19, 19, 1, 2, 1, 4, 19, 19, 0, 20, 20, 1, 2, 1, 4, 20, 20, 0, 0, 21, 21, 1, 2, 1, 4, 21, 21, 0, 22, 22, 1, 1, 1, 1, 2, 0, 1, 2, 2, 22, 22, 0, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 0, 0, 9, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 4, 4, 0, 0, 6, 6, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 3, 3, 3, 3, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 1070, 5296, 32, 90, 512, 17085, 1188, 677, 512, 17085, 203, 823, 4389, 4890, 4241, 87, 40529, 37530, 2084, 55, 2212, 55, 40529, 55, 2212, 55, 40529, 26, 58, 512, 17085, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 297, 81, 19243, 280, 2933, 291, 2599, 26, 1331, 4890, 4241, 87, 40529, 37530, 2084, 55, 2212, 55, 40529, 55, 2212, 55, 40529, 30, 630, 14585, 1664, 3207, 426, 1057, 1331, 4890, 4241, 87, 40529, 37530, 2084, 55, 2212, 55, 40529, 55, 2212, 55, 40529, 370, 1929, 81, 5459, 47, 36, 41, 30, 12041, 6020, 1130, 291, 630, 32, 669, 81, 11672, 21145, 34, 30, 225, 40, 614, 428, 40, 30, 225, 39, 614, 428, 34, 30, 225, 42, 614, 428, 42, 30, 225, 41, 614, 428, 35, 30, 225, 35, 34, 614, 428, 35, 34, 30, 225, 43, 614, 428, 35, 30, 225, 35, 36, 614, 428, 35, 36, 30, 225, 35, 35, 614, 428, 39, 30, 225, 37, 614, 428, 37, 30, 225, 41, 614, 428, 43, 30, 225, 38, 614, 428, 38, 30, 225, 35, 35, 614, 428, 43, 30, 225, 35, 37, 614, 428, 35, 37, 30, 225, 39, 614, 428, 35, 35, 30, 225, 35, 38, 614, 428, 35, 38, 30, 225, 41, 614, 428, 43, 30, 225, 35, 39, 614, 428, 35, 39, 30, 225, 35, 40, 614, 428, 35, 41, 30, 225, 35, 42, 614, 428, 35, 42, 30, 225, 35, 40, 614, 428, 35, 41, 30, 225, 35, 43, 614, 428, 35, 43, 30, 225, 36, 34, 614, 428, 35, 35, 30, 225, 36, 35, 614, 428, 36, 35, 30, 225, 36, 36, 614, 428, 36, 37, 30, 225, 36, 38, 614, 428, 36, 38, 30, 225, 36, 36, 614, 428, 36, 37, 30, 225, 36, 39, 614, 428, 36, 39, 30, 225, 36, 40, 614, 428, 34, 30, 225, 36, 614, 428, 36, 30, 225, 35, 13138, 291, 630, 1365, 2840, 505, 1446, 280, 2107, 58, 512, 17085, 2826, 785, 291, 630, 1365, 426, 1446, 280, 1524, 87, 4890, 4241, 87, 40529, 37530, 2084, 55, 2212, 55, 40529, 55, 2212, 55, 40529, 2993, 291, 630, 1365, 11989, 505, 1446, 280, 225, 41, 39, 34, 34, 36, 43, 34, 39, 36, 37, 37, 37, 43, 37, 40, 37, 40, 37, 34, 291, 630, 32, 4849, 77, 34, 11159, 2840, 505, 1446, 280, 1524, 3665, 1243, 2993, 291, 630, 32, 4849, 77, 34, 11159, 11989, 505, 1446, 280, 225, 37, 37, 38, 39, 37, 39, 39, 38, 42, 35, 37, 39, 42, 36, 37, 43, 38, 37, 38, 291, 630, 32, 4849, 77, 35, 11159, 2840, 505, 1446, 280, 1524, 9903, 1243, 2993, 291, 630, 32, 4849, 77, 35, 11159, 11989, 505, 1446, 280, 225, 36, 40, 40, 35, 35, 35, 36, 34, 43, 41, 39, 34, 35, 43, 39, 38, 37, 38, 36, 291, 630, 32, 4849, 77, 36, 11159, 2840, 505, 1446, 280, 1524, 41376, 81, 1793, 2993, 291, 630, 32, 4849, 77, 36, 11159, 11989, 505, 1446, 280, 225, 36, 42, 42, 38, 34, 34, 36, 37, 40, 37, 42 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 9, 9, 8, 9, 9, 7, 7, 8, 9, 4, 4, 7, 8, 8, 8, 7, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 10, 9, 8, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 4, 4, 7, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 4, 4, 7, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 9, 9, 9, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 8, 8, 8, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 8, 8, 8, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 8, 8, 8, 8, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 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, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 1, 1, 5, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 1, 1, 7, 7, 3, 7, 1, 1, 9, 9, 3, 3, 9, 1, 1, 1, 11, 11, 3, 11, 1, 1, 13, 13, 3, 3, 13, 1, 1, 1, 15, 15, 3, 3, 15, 1, 1, 17, 17, 3, 17, 1, 1, 19, 19, 3, 19, 1, 1, 21, 21, 3, 21, 1, 1, 23, 23, 3, 3, 23, 1, 1, 25, 25, 3, 3, 25, 1, 1, 1, 27, 27, 3, 27, 1, 1, 1, 29, 29, 3, 3, 29, 1, 1, 1, 31, 31, 3, 31, 1, 1, 33, 33, 3, 3, 33, 1, 1, 1, 35, 35, 3, 3, 35, 1, 1, 1, 37, 37, 3, 3, 37, 1, 1, 1, 39, 39, 3, 3, 39, 1, 1, 1, 41, 41, 3, 3, 41, 1, 1, 1, 43, 43, 3, 3, 43, 1, 1, 1, 45, 45, 3, 3, 45, 1, 1, 1, 47, 47, 3, 3, 47, 1, 1, 1, 49, 49, 3, 3, 49, 1, 1, 1, 51, 51, 3, 3, 51, 1, 1, 1, 53, 53, 3, 3, 53, 1, 1, 1, 55, 55, 3, 3, 55, 1, 1, 57, 57, 3, 57, 1, 1, 59, 59, 3, 59, 4, 4, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 1070, 30902, 32, 2602, 1188, 1858, 30, 2623, 30, 48725, 1308, 30, 15568, 203, 1070, 30902, 32, 2602, 32, 7672, 1188, 617, 6358, 30, 617, 1070, 81, 5740, 203, 1070, 30902, 1188, 3420, 30, 2192, 30, 4401, 30, 5548, 30, 766, 284, 7723, 30, 11985, 750, 30, 6571, 30, 892, 30, 5111, 753, 30, 8825, 3739, 461, 3739, 15234, 30, 1344, 9841, 284, 1135, 30, 34055, 953, 30, 10652, 81, 2592, 203, 1070, 30902, 32, 4266, 1188, 37743, 30, 3175, 101, 6136, 5472, 30, 766, 284, 3175, 101, 33967, 3553, 203, 1070, 30902, 1188, 6325, 203, 1070, 30902, 32, 2602, 32, 18498, 101, 1188, 48725, 10532, 30, 5958, 26493, 10532, 30, 766, 284, 26886, 81, 33261, 30, 902, 557, 4256, 2165, 26493, 10532, 203, 1070, 30902, 1188, 13489, 203, 1070, 30902, 32, 2602, 1188, 4527, 619, 5552, 81, 1040, 203, 1070, 30902, 32, 4266, 1188, 7096, 3739, 438, 3739, 1201, 81, 16708, 30, 1201, 81, 16708, 81, 1436, 203, 51, 280, 551, 280, 273, 35, 280, 273, 36, 280, 273, 37, 280, 1858, 35, 280, 1858, 36, 280, 1858, 37, 280, 1858, 38, 280, 1665, 203, 823, 21683, 16292, 1006, 26, 18972, 32, 35506, 30, 3175, 101, 6136, 5472, 711, 284, 477, 17614, 284, 665, 4705, 81, 823, 26, 6933, 711, 291, 3649, 399, 30, 551, 291, 443, 399, 26, 11153, 1308, 711, 324, 1156, 8275, 81, 426, 505, 280, 330, 83, 25, 324, 665, 1156, 1664, 3207, 784, 30, 9810, 711, 400, 630, 32, 3385, 280, 9810, 324, 665, 438, 81, 2455, 26, 784, 30, 1604, 711, 400, 442, 1604, 438, 630, 324, 1156, 2888, 505, 280, 48725, 1308, 3667, 2888, 505, 324, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 400, 442, 1604, 32, 3385, 610, 630, 32, 3385, 324, 665, 1156, 941, 3207, 784, 30, 1604, 711, 400, 442, 1604, 32, 3385, 863, 630, 32, 3385, 324, 665, 1156, 466, 3207, 784, 711, 400, 442, 313, 51, 7846, 101, 4731, 904, 26542, 26, 784, 32, 3385, 27, 291, 443, 551, 26, 11153, 1308, 711, 324, 1156, 8275, 81, 426, 505, 280, 330, 84, 25, 324, 665, 1156, 1664, 3207, 784, 30, 319, 3028, 711, 400, 630, 32, 3028, 280, 3946, 324, 665, 438, 81, 2455, 26, 784, 30, 1604, 711, 400, 415, 1604, 438, 646, 630, 44, 528, 442, 3177, 400, 436, 595, 35, 30, 595, 36, 328, 8529, 26, 784, 32, 3028, 30, 1604, 32, 3028, 711, 528, 415, 595, 35, 438, 646, 595, 36, 44, 715, 442, 3177, 400, 442, 2933, 324, 1156, 2888, 505, 280, 48725, 1308, 3667, 2888, 505, 324, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 400, 436, 595, 35, 30, 595, 36, 328, 8529, 26, 784, 32, 3028, 30, 1604, 32, 3028, 711, 528, 415, 595, 35, 863, 595, 36, 44, 715, 442, 3177, 400, 442, 2933, 324, 665, 1156, 941, 3207, 784, 30, 1604, 711, 400, 436, 595, 35, 30, 595, 36, 328, 8529, 26, 784, 32, 3028, 30, 1604, 32, 3028, 711, 528, 415, 595, 35, 863, 595, 36, 44, 715, 442, 2933, 400, 442, 3177, 324, 665, 617, 2991 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 3, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 3, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 2, 2, 3, 3, 5, 4, 4, 6, 5, 5, 7, 6, 6, 8, 7, 7, 9, 8, 8, 10, 9, 9, 11, 10, 10, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 2, 3, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 6, 6, 5, 5, 6, 7, 8, 8, 7, 6, 6, 10, 10, 10, 10, 9, 9, 11, 11, 7, 7, 8, 9, 9, 10, 9, 9, 9, 8, 8, 12, 13, 11, 11, 7, 7, 8, 9, 9, 9, 10, 9, 9, 9, 8, 8, 10, 11, 11, 7, 7, 10, 10, 9, 9, 11, 10, 11, 11, 7, 7, 8, 9, 9, 10, 9, 9, 9, 8, 8, 10, 12, 13, 11, 11, 12, 13, 7, 7, 8, 9, 9, 10, 9, 9, 9, 8, 8, 10, 12, 13, 11, 11, 12, 13, 7, 7, 8, 9, 9, 10, 9, 8, 8, 10, 13, 13, 13, 13, 11, 11, 13, 15, 14, 15, 13, 5, 5, 6, 7, 8, 8, 7, 6, 6, 10, 10, 10, 10, 9, 9, 11, 11, 7, 7, 8, 9, 9, 10, 9, 9, 11, 9, 8, 8, 12, 13, 11, 11, 7, 7, 8, 9, 9, 9, 10, 9, 9, 9, 8, 8, 10, 11, 11, 11, 10, 10, 10, 12, 9, 9, 10, 12, 11, 11, 12, 10, 10, 12, 14, 13, 14, 12, 12, 13, 14, 12, 10, 10, 12, 14, 13, 13, 13, 14, 12, 12, 12, 14, 9, 9, 10, 7, 7, 10, 10, 9, 9, 11, 10, 11, 11, 7, 7, 8, 9, 9, 10, 9, 9, 9, 8, 8, 10, 12, 11, 11, 12, 10, 10, 12, 14, 13, 14, 12, 12, 13, 14, 12, 10, 10, 12, 14, 13, 13, 14, 12, 12, 12, 14, 9, 9, 10, 7, 7, 8, 9, 9, 10, 9, 9, 9, 8, 8, 10, 12, 11, 11, 12, 10, 10, 12, 14, 13, 14, 12, 12, 13, 14, 12, 10, 10, 12, 14, 13, 13, 14, 12, 12, 12, 14, 9, 9, 10, 7, 7, 8, 9 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 30, 2, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 0, 0, 3, 3, 7, 3, 0, 0, 0, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 5, 5, 0, 0, 5, 5, 7, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 3, 3, 2, 2, 0, 8, 8, 1, 2, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 10, 10, 1, 1, 2, 0, 1, 2, 2, 2, 3, 3, 3, 2, 10, 10, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 4, 4, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 1, 1, 2, 2, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 2, 1, 1, 2, 2, 4, 4, 6, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 4, 4, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 4, 4, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 4, 4, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 4, 4, 1, 4, 4, 6, 1 ]
[ 465, 7138, 203, 465, 2322, 203, 465, 802, 203, 1070, 1561, 32, 5954, 1734, 32, 1439, 32, 84, 12561, 32, 1700, 2609, 3550, 1188, 7500, 6588, 2963, 203, 1070, 1561, 32, 2304, 1188, 4942, 1423, 203, 1070, 1561, 32, 2304, 32, 4073, 1188, 1245, 203, 1070, 1561, 32, 5954, 1734, 32, 1439, 32, 84, 12561, 32, 84, 12561, 605, 1188, 319, 203, 1070, 1561, 32, 2304, 32, 2282, 1188, 622, 6777, 383, 590, 462, 2732, 203, 823, 701, 91, 3300, 2262, 284, 443, 390, 3059, 6588, 2963, 26, 3059, 6588, 2963, 711, 291, 3097, 284, 665, 1156, 1664, 3207, 784, 30, 17918, 81, 983, 711, 291, 630, 32, 1131, 81, 3607, 280, 17918, 81, 983, 291, 630, 32, 5930, 81, 761, 280, 803, 26, 784, 32, 1131, 81, 3607, 30, 330, 100, 683, 291, 630, 3667, 470, 81, 1536, 81, 2810, 346, 284, 665, 1156, 470, 81, 1536, 81, 2810, 26, 784, 711, 291, 630, 32, 22710, 280, 1605, 291, 630, 32, 3059, 6588, 2963, 280, 630, 32, 2201, 925, 6588, 2963, 346, 291, 630, 32, 34668, 29916, 3713, 558, 280, 3330, 291, 630, 32, 1664, 81, 2810, 346, 284, 665, 3219, 81, 605, 26, 784, 30, 5436, 81, 605, 711, 291, 630, 32, 5930, 81, 681, 280, 5436, 81, 605, 32, 371, 440, 34668, 620, 657, 291, 630, 32, 1647, 81, 681, 280, 5436, 81, 605, 32, 371, 440, 2459, 620, 657, 291, 630, 32, 5930, 81, 8644, 280, 4942, 1423, 32, 371, 7960, 26, 784, 32, 1131, 81, 3607, 27, 291, 630, 32, 1647, 81, 5660, 280, 5436, 81, 605, 32, 371, 440, 2459, 4542, 657, 284, 665, 3219, 81, 2810, 26, 784, 711, 291, 630, 32, 24259, 81, 12527, 280, 3177, 291, 630, 32, 2008, 101, 81, 12527, 280, 3177, 291, 630, 32, 5930, 81, 13826, 81, 6158, 280, 330, 64, 25, 291, 630, 32, 5930, 81, 368, 542, 994, 3120, 280, 330, 64, 25, 291, 630, 32, 5930, 81, 2008, 81, 14951, 280, 330, 64, 25, 291, 630, 32, 5930, 81, 1455, 81, 858, 4693, 280, 3330, 291, 630, 32, 5930, 81, 890, 81, 858, 4693, 280, 3330, 291, 630, 32, 5930, 81, 11794, 280, 3330, 291, 630, 32, 5930, 81, 6956, 280, 3330, 291, 630, 32, 5930, 81, 10347, 93, 280, 3330, 291, 630, 32, 5930, 81, 40344, 280, 313, 75, 20, 291, 630, 32, 5930, 81, 23777, 81, 2186, 15245, 280, 3330, 291, 630, 32, 5930, 81, 9673, 487, 1100, 280, 3330, 291, 630, 32, 5930, 81, 33185, 280, 3330, 291, 630, 32, 5930, 81, 2008, 101, 81, 86, 4542, 280, 3330, 291, 630, 32, 5930, 81, 1536, 81, 8644, 280, 313, 3310, 31, 42, 20, 291, 630, 32, 5930, 81, 4189, 280, 3330, 291, 630, 32, 5930, 81, 23777, 81, 2186, 983, 280, 3330, 291, 630, 32, 5930, 81, 2609, 12561, 280, 225, 34, 291, 630, 32, 5930, 81, 2609, 13826, 1333, 280, 3330, 291, 630, 32, 5930, 81, 2609, 3565, 1333, 280, 3330, 291, 630, 32, 5930, 81, 8632, 280, 3330, 291, 630, 32, 5930, 81, 1902, 5546, 280, 3330, 291, 630, 32, 5930 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 2, 2, 4, 4, 1, 2, 2, 3, 4, 2, 2, 4, 1, 2, 2, 3, 4, 3, 4, 2, 2, 1, 2, 2, 3, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 2, 2, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 4, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 3, 3, 4, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 8, 9, 9, 9, 7, 7, 9, 11, 10, 11, 11, 11, 9, 9, 11, 11, 5, 5, 8, 9, 9, 9, 9, 9, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 10, 9, 5, 5, 8, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 8, 9, 9, 9, 7, 7, 10, 10, 9, 10, 9, 11, 11, 11, 5, 5, 8, 9, 9, 9, 7, 7, 10, 10, 9, 10, 9, 11, 11, 11, 5, 5, 8, 9, 9, 9, 7, 7, 10, 9, 10, 10, 9, 11, 10, 11, 11, 11, 9, 5, 5, 8, 9, 9, 9, 7, 7, 10, 10, 9, 10, 9, 11, 11, 11, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 5, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 5, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 9, 9, 5, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 7, 7, 8, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 2, 1, 4, 1, 6, 6, 1, 8, 8, 8, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 2, 1, 4, 1, 6, 6, 1, 8, 8, 8, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 0, 8, 8, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2 ]
[ 465, 16672, 203, 465, 2322, 203, 465, 5237, 203, 589, 622, 81, 3596, 81, 983, 26, 266, 81, 983, 711, 284, 415, 2322, 32, 983, 32, 297, 3596, 26, 266, 81, 983, 711, 291, 442, 328, 81, 983, 284, 813, 44, 291, 442, 2322, 32, 983, 32, 21379, 26, 266, 81, 983, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 4118, 280, 16672, 32, 26633, 26, 2310, 1057, 16627, 312, 1914, 461, 1760, 3362, 30, 330, 2270, 330, 325, 2276, 884, 5024, 328, 322, 1914, 30, 3066, 645, 322, 1760, 11834, 284, 4118, 32, 669, 81, 2669, 463, 1855, 81, 983, 370, 3049, 347, 1215, 6621, 1914, 2276, 4414, 2125, 347, 2157, 657, 284, 4118, 32, 669, 81, 2669, 463, 1977, 81, 983, 370, 3049, 347, 1215, 6621, 2276, 372, 3066, 415, 2953, 9250, 328, 1914, 4414, 2125, 347, 2157, 657, 284, 4118, 32, 669, 81, 2669, 12664, 24223, 31, 1945, 370, 3049, 347, 15494, 1330, 3066, 30, 2258, 1688, 2276, 15177, 436, 3066, 4414, 656, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 27, 284, 2181, 280, 4118, 32, 2208, 81, 1132, 346, 284, 3536, 81, 1855, 81, 983, 280, 622, 81, 3596, 81, 983, 26, 1132, 32, 1855, 81, 983, 27, 284, 3536, 81, 1977, 81, 983, 280, 622, 81, 3596, 81, 983, 26, 1132, 32, 1977, 81, 983, 27, 284, 1914, 81, 2536, 280, 2322, 32, 26366, 26, 2620, 81, 1855, 81, 983, 27, 284, 1760, 81, 2536, 280, 2322, 32, 26366, 26, 2620, 81, 1977, 81, 983, 27, 284, 415, 2181, 32, 24223, 81, 1945, 44, 291, 5237, 32, 9362, 32, 1821, 440, 3561, 75, 20045, 44, 4435, 10960, 69, 46310, 6744, 2279, 24674, 78, 96, 657, 284, 813, 44, 291, 5237, 32, 9362, 32, 1821, 440, 10431, 44, 2890, 28083, 5875, 1392, 10960, 69, 46310, 6744, 2279, 24674, 78, 96, 657, 284, 436, 1914, 81, 761, 328, 1914, 81, 2536, 44, 291, 415, 1914, 81, 761, 328, 1760, 81, 2536, 44, 324, 1760, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 2620, 81, 1977, 81, 983, 30, 1914, 81, 761, 27, 324, 5237, 32, 9362, 32, 1821, 4912, 101, 78, 96, 20, 904, 1760, 81, 761, 27, 324, 415, 646, 2181, 32, 24223, 81, 1945, 44, 400, 2322, 32, 2546, 26, 1977, 81, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 6, 7, 5, 6, 6, 5, 6, 6, 6, 5, 3, 3, 5, 6, 6, 3, 3, 4, 4, 4, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 7, 6, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 6, 8, 8, 8, 8, 8, 5, 6, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 5, 6, 7, 5, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 4, 5, 5, 5, 3, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 3, 3, 4, 4, 4, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 2, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 5, 7, 7, 6, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 11, 11, 10, 10, 11, 11, 10, 6, 6, 10, 11, 9, 10, 9, 12, 13, 13, 12, 10, 10, 11, 11, 9, 6, 6, 7, 8, 9, 10, 10, 10, 7, 7, 7, 11, 12, 11, 12, 12, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 4, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 5, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 2, 1, 7, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 9, 1, 2, 2, 2, 9, 9, 9, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 9, 9, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 10, 1, 1, 10, 10, 3, 3, 10, 10, 10, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 29947, 203, 1070, 1673, 2304, 32, 1262, 1188, 4705, 30, 15363, 203, 5522, 26, 426, 1057, 5334, 978, 370, 203, 202, 1648, 1057, 35, 32, 37, 32, 36, 370, 203, 202, 2310, 1057, 7313, 21778, 15660, 328, 4865, 370, 203, 202, 3222, 81, 2310, 347, 1010, 203, 202, 12733, 5177, 438, 312, 12463, 4865, 4736, 432, 322, 3787, 559, 8146, 308, 7313, 21778, 15660, 27, 7079, 308, 1486, 461, 4226, 5209, 547, 32377, 5177, 438, 6895, 2288, 322, 1692, 41367, 3984, 6863, 12038, 13835, 32, 203, 202, 12733, 5177, 2355, 559, 8146, 461, 676, 6905, 26672, 499, 559, 8146, 4784, 701, 886, 48331, 7664, 1510, 3627, 3523, 30, 559, 8146, 677, 658, 19107, 30, 559, 8146, 20240, 265, 30, 559, 8146, 2043, 30, 676, 6905, 2043, 30, 676, 6905, 20240, 265, 30, 34786, 9298, 203, 202, 37616, 203, 202, 2116, 1057, 16716, 6973, 504, 447, 910, 612, 283, 519, 370, 203, 202, 2116, 81, 1935, 1057, 20254, 2558, 941, 305, 50, 7253, 32, 508, 370, 203, 202, 965, 1057, 641, 555, 933, 32, 508, 33, 20254, 2558, 941, 305, 33, 5334, 978, 370, 203, 202, 5043, 6020, 355, 202, 25, 5334, 978, 370, 8667, 202, 25, 5334, 978, 32, 1262, 370, 355, 202, 25, 5334, 978, 32, 4373, 370, 8667, 202, 25, 5334, 978, 32, 5721, 370, 8667, 202, 25, 5334, 978, 32, 5721, 32, 49133, 370, 8667, 202, 25, 5334, 978, 32, 5721, 32, 49133, 32, 44580, 370, 8667, 202, 25, 5334, 978, 32, 5721, 32, 49133, 32, 96, 3075, 370, 355, 202, 25, 5334, 978, 32, 5721, 32, 49133, 32, 102, 35, 36, 39, 370, 355, 202, 25, 5334, 978, 32, 5721, 32, 100, 4342, 370, 8667, 202, 25, 5334, 978, 32, 1707, 25, 357, 202, 614, 203, 202, 407, 81, 3477, 6020, 4814, 463, 100, 274, 370, 2107, 407, 33, 100, 274, 32, 85, 3490, 614, 203, 202, 8121, 280, 428, 355, 202, 25, 1771, 33, 5334, 978, 31, 49133, 1580, 32, 978, 370, 355, 202, 25, 1771, 33, 5334, 978, 31, 5334, 5452, 19107, 32, 978, 370, 355, 202, 25, 1771, 33, 5334, 978, 31, 49133, 911, 95, 32, 978, 370, 355, 202, 25, 1771, 33, 5334, 978, 31, 49133, 19765, 32, 978, 370, 8667, 202, 25, 1771, 33, 5334, 978, 31, 3666, 419, 1823, 32, 978, 370, 355, 202, 25, 1771, 33, 5334, 978, 31, 13130, 1152, 826, 32, 978, 370, 8667, 202, 25, 1771, 33, 5334, 978, 31, 104, 6635, 19765, 32, 978, 25, 357, 202, 614, 203, 202, 3789, 81, 13966, 6020, 355, 202, 1330, 105, 13835, 370, 2607, 202, 25, 978, 16492, 370, 2607, 202, 1182, 38002, 81, 8543, 370, 2607, 202, 25, 12561, 38, 41622, 370, 2607, 202, 25, 20544, 370, 2607, 202, 25, 978, 17511, 35, 370, 11795, 202, 614, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 3, 3, 5, 4, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 4, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 3, 3, 5, 5, 5, 4, 7, 7, 9, 9, 9, 7, 10, 10, 10, 10, 10, 10, 10, 5, 3, 3, 5, 4, 4, 5, 5, 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, 5, 5, 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, 5, 5, 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, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 3, 3, 5, 5, 5, 4, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 5, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 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, 2, 1, 1, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 15, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 17, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 19, 19, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 21, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 30, 22977, 30, 5237, 30, 29590, 30, 22045, 36, 203, 2868, 4192, 5360, 280, 29590, 32, 4765, 86, 1433, 346, 203, 297, 81, 92, 2375, 280, 5237, 32, 5134, 32, 15990, 440, 1859, 657, 203, 1270, 44, 284, 1188, 12870, 81, 5379, 203, 7343, 29986, 44, 284, 33087, 280, 2149, 284, 2299, 26, 39362, 36, 32, 305, 33786, 440, 525, 555, 11000, 32, 11448, 11863, 32, 508, 33, 2452, 33, 11735, 81, 5522, 32, 978, 1895, 850, 1026, 33087, 27, 284, 33087, 1365, 539, 81, 43764, 36315, 452, 81, 1515, 47, 2868, 4192, 5360, 30, 5822, 81, 7843, 47, 34, 27, 284, 1188, 12870, 81, 5379, 203, 325, 5237, 32, 5134, 610, 313, 4463, 37, 36, 563, 284, 665, 15358, 26, 85, 711, 291, 415, 313, 313, 328, 281, 44, 324, 442, 6113, 23, 101, 14891, 904, 281, 16189, 813, 44, 324, 442, 281, 203, 1824, 44, 284, 665, 15358, 26, 85, 711, 291, 442, 281, 203, 3515, 280, 313, 1070, 29947, 32, 2501, 32, 15215, 81, 3789, 1188, 2575, 45, 2575, 19284, 203, 3604, 280, 12870, 81, 5379, 32, 13578, 81, 470, 203, 325, 438, 81, 92, 2375, 44, 284, 1188, 16539, 284, 1201, 308, 291, 16539, 32, 45606, 26, 324, 428, 3731, 32, 21823, 79, 324, 474, 3037, 31, 85, 392, 15358, 26, 3515, 471, 4825, 8737, 64, 3078, 392, 15358, 26, 2868, 4192, 5360, 471, 313, 19936, 32, 1832, 541, 3439, 324, 4533, 47, 2665, 26, 400, 2322, 32, 12757, 30, 400, 32061, 4065, 47, 3604, 32, 1809, 26, 528, 12870, 81, 5379, 32, 18079, 32, 2208, 440, 43764, 657, 400, 6804, 2645, 30, 324, 2588, 291, 6804, 1684, 346, 291, 610, 225, 34, 284, 829, 203, 1824, 44, 284, 1201, 308, 291, 2322, 32, 15697, 274, 26, 324, 2322, 32, 66, 81, 16718, 30, 324, 5237, 32, 21823, 30, 324, 15358, 26, 3731, 32, 21823, 471, 324, 4825, 85, 392, 324, 15358, 26, 3515, 471, 324, 4825, 8737, 64, 3078, 392, 324, 15358, 26, 2868, 4192, 5360, 471, 324, 313, 19936, 32, 1832, 541, 392, 324, 5436, 26, 400, 2322, 32, 12757, 30, 400, 32061, 4065, 47, 3604, 32, 1809, 26, 528, 12870, 81, 5379, 32, 18079, 32, 2208, 440, 43764, 657, 400, 6804, 2645, 30, 324, 2588, 291, 829, 291, 610, 225, 34, 284, 829, 203, 3604, 32, 669, 81, 3038, 26, 2868, 4192, 5360, 27, 203, 3604, 32, 1981, 440, 19936, 32, 1832, 541, 657, 203, 465, 1288, 85, 32, 1832, 541, 32, 1832, 541, 203, 19936, 32, 1832, 541, 32, 1832, 541, 32, 1831, 26, 3731, 32, 6118, 77, 35, 10056, 474, 3037, 5172, 6890, 203, 615, 1040, 32, 100, 41718, 26, 2868, 4192, 5360, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 0, 1, 1, 1, 1, 3, 5, 5, 1, 2, 2, 2, 2, 2, 5, 5, 3, 3, 6, 11, 11, 10, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 6, 6, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 6, 6, 8, 8, 7, 8, 6, 3, 3, 4, 6, 6, 0, 1, 1, 3, 4, 2, 2, 4, 4, 4, 4, 1, 1, 3, 4, 5, 4, 3, 3, 5, 8, 6, 6, 5, 5, 5, 7, 10, 10, 10, 8, 8, 5, 5, 6, 6, 6, 8, 1, 2, 2, 2, 2, 4, 5, 6, 5, 4, 4, 6, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 3, 4, 4, 9, 10, 9, 9, 9, 13, 12, 13, 11, 10, 10, 10, 13, 13, 13, 11, 13, 14, 13, 11, 13, 13, 13, 13, 11, 13, 14, 14, 14, 13, 11, 13, 13, 13, 13, 13, 9, 9, 10, 12, 12, 12, 12, 13, 14, 12, 12, 12, 14, 13, 17, 16, 17, 16, 16, 16, 20, 20, 19, 20, 18, 19, 18, 20, 20, 16, 16, 15, 12, 12, 12, 9, 9, 8, 7, 5, 5, 5, 6, 4, 4, 1, 2, 2, 2, 2, 4, 5, 5, 8, 9, 9, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 9, 10, 8, 8, 8, 10, 12, 11, 12, 10, 8, 8, 10, 10, 8, 8, 10, 11, 10, 8, 8, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 10, 8, 8, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 11, 12, 10, 10, 10, 12, 11, 15, 14, 15, 14, 14, 14, 18, 18, 17, 18, 16, 17, 16, 18, 18, 14, 14, 13, 10, 10, 10, 8, 8, 6, 6, 6, 7, 5, 5, 0, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 0, 6, 5, 6, 6, 4, 5, 5, 3, 4, 3, 7, 6, 7, 5, 7, 6, 4, 4, 7, 7, 0, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 3, 3, 3, 0, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 7, 7, 1, 1, 1, 7, 7, 7, 0, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 7, 4, 4, 4, 4, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 10, 10, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 11993, 1188, 1682, 203, 465, 10020, 1633, 203, 1070, 27715, 1188, 1505, 483, 30, 14091, 203, 1070, 27715, 32, 1553, 483, 1188, 8745, 203, 823, 34230, 14003, 26, 1553, 483, 32, 1761, 14003, 711, 284, 1156, 30579, 505, 280, 308, 11201, 32, 7849, 270, 1633, 14003, 21713, 284, 636, 280, 313, 48066, 299, 20, 284, 34373, 280, 301, 291, 313, 53, 35, 42, 34, 35, 563, 308, 324, 313, 2555, 646, 793, 529, 1657, 26, 31232, 7601, 2876, 14828, 372, 9921, 415, 312, 6613, 438, 3502, 392, 324, 313, 1657, 31, 302, 31, 4742, 392, 324, 313, 10562, 1412, 4354, 5917, 11140, 101, 688, 2069, 26, 7508, 27, 438, 3998, 1654, 313, 324, 313, 12655, 8007, 14828, 6517, 312, 3700, 372, 9921, 415, 312, 6613, 438, 3502, 32, 313, 324, 313, 41767, 432, 2098, 6650, 299, 322, 3104, 372, 312, 1905, 30, 3154, 313, 324, 313, 268, 631, 544, 322, 8434, 688, 3502, 17211, 884, 901, 556, 313, 324, 313, 6055, 322, 3104, 8187, 312, 13145, 4414, 291, 829, 284, 320, 284, 9958, 280, 429, 36, 284, 2075, 280, 1404, 284, 477, 2304, 32, 1553, 81, 6286, 440, 1657, 31, 302, 31, 4742, 657, 284, 665, 7725, 81, 1851, 26, 784, 30, 1541, 711, 291, 415, 646, 8745, 32, 297, 81, 1851, 81, 1028, 81, 426, 26, 1251, 30, 313, 1657, 10280, 324, 442, 291, 2935, 280, 1541, 32, 2544, 291, 2218, 6937, 26, 2544, 30, 10020, 1633, 32, 5957, 3397, 711, 324, 2935, 280, 2935, 32, 2544, 291, 415, 646, 8745, 32, 297, 81, 858, 81, 4742, 26, 1251, 30, 2935, 711, 324, 442, 291, 2069, 81, 626, 280, 1541, 32, 1132, 77, 34, 79, 291, 9750, 81, 271, 81, 980, 18507, 1453, 280, 308, 324, 10020, 1633, 32, 720, 982, 30, 324, 10020, 1633, 32, 885, 982, 30, 324, 10020, 1633, 32, 7167, 982, 30, 324, 10020, 1633, 32, 4815, 3866, 30, 291, 829, 291, 415, 6937, 26, 1657, 81, 626, 30, 9750, 81, 271, 81, 980, 18507, 1453, 711, 324, 630, 32, 669, 81, 1436, 440, 1657, 31, 302, 31, 4742, 392, 1541, 47, 1251, 27, 324, 442, 291, 1596, 44, 324, 1980, 280, 2354, 26, 1657, 81, 626, 32, 22987, 1157, 291, 2940, 10020, 1633, 32, 29072, 924, 44, 324, 442, 291, 35814, 81, 4820, 280, 630, 32, 1439, 81, 4820, 81, 1028, 81, 1251, 26, 2386, 27, 291, 18802, 81, 1170, 81, 24945, 42, 280, 1346, 26, 324, 273, 328, 35814, 81, 4820, 436, 273, 328, 3037, 466, 392, 313, 7288, 392, 313, 668, 392, 313, 470, 1446, 291, 829, 291, 415, 313, 3585, 20, 328, 35814, 81, 4820, 556, 308, 324, 18802, 81, 1170, 81, 24945, 42, 461, 646, 630, 32, 2386, 81, 2040, 81, 2420, 26, 2386, 27, 291, 8063, 324, 630, 32, 669, 81, 1436, 440, 1657, 31, 302, 31, 4742, 392, 1541, 47, 1251, 27, 284, 477, 16099, 284, 665, 1980, 81, 2040, 81, 2420, 26, 823, 81, 589, 44, 10020, 1633, 32, 1339, 1350, 27, 967, 1560, 44, 291, 1596, 44, 324, 443, 81, 589, 32, 32110, 27176, 2420, 505, 657 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 7, 6, 7, 7, 7, 7, 5, 2, 2, 4, 4, 6, 6, 6, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 2, 2, 4, 4, 6, 2, 2, 4, 4, 2, 2, 7, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 11, 11, 6, 6, 5, 5, 7, 7, 8, 9, 5, 5, 6, 8, 9, 8, 8, 10, 9, 10, 10, 8, 6, 6, 9, 9, 10, 11, 5, 5, 6, 7, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 6, 6, 5, 5, 8, 8, 7, 7, 9, 10, 8, 9, 8, 5, 5, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 10, 9, 10, 10, 8, 8, 8, 10, 9, 10, 10, 8, 8, 8, 10, 9, 10, 10, 8, 8, 8, 10, 9, 10, 10, 8, 8, 8, 5, 5, 6, 8, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 8, 6, 6, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 10, 11, 12, 10, 7, 7, 5, 5, 6, 6, 6, 9, 9, 11, 14, 14, 14, 13, 14, 13, 6, 6, 7, 9, 8, 9, 9, 7, 7, 7, 5, 5, 8, 8, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 5, 5, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 10, 10, 11, 11, 9, 10, 10, 10, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 9, 9, 5, 5, 6, 10, 10, 8, 8, 9, 9, 7, 7, 8, 8, 10, 10, 10, 10, 10, 9, 9, 10, 12, 13, 13, 13, 13, 13, 12, 13, 12, 8, 8, 6, 6, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 10, 11, 12, 10, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 7, 7, 7, 6, 6, 9, 8, 9, 9, 5, 4, 4, 4, 4, 4, 6, 6, 6, 11, 11, 10, 11, 10, 12, 12, 12 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 2, 3, 3, 0, 4, 4, 1, 2, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 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, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 1, 4, 4, 0, 0, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 2, 2, 4, 4, 2, 1, 1, 1, 1, 0, 3, 2, 2, 1, 2, 2, 0, 0, 2, 2, 4, 4, 3, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 3, 2, 2, 2, 2, 2, 0, 5, 2, 2, 2, 2, 2, 0, 7, 2, 2, 2, 2, 2, 4, 4, 6, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 6, 6, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 4, 4, 7, 7, 7, 0, 0, 1, 0, 0, 0, 0, 2, 1, 7, 7, 3, 0, 1, 2, 2, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 4, 4, 10, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 10, 10, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 1, 6, 6, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2 ]
[ 1070, 29551, 47291, 1188, 3089, 203, 465, 30902, 619, 4257, 203, 13411, 280, 330, 86, 42, 86, 35, 84, 38, 35, 42, 88, 38, 35, 85, 25, 203, 1746, 81, 13411, 280, 330, 41, 88, 39, 85, 43, 87, 43, 43, 37, 864, 35, 25, 203, 6586, 81, 5919, 280, 1665, 203, 27263, 81, 267, 280, 1665, 203, 589, 10750, 2262, 284, 3089, 32, 1297, 81, 1274, 463, 16845, 370, 284, 4257, 32, 2137, 463, 314, 370, 4257, 32, 3061, 1026, 12607, 47, 2700, 471, 284, 4257, 32, 2137, 463, 496, 81, 314, 370, 4257, 32, 3061, 1026, 12607, 47, 1815, 471, 284, 4257, 32, 2137, 463, 25465, 370, 4257, 32, 652, 26, 1322, 47, 35, 34, 471, 12607, 47, 2700, 471, 284, 4257, 32, 2137, 463, 13738, 370, 4257, 32, 652, 26, 1322, 47, 38, 471, 12607, 47, 2700, 471, 284, 4257, 32, 2137, 463, 2468, 370, 4257, 32, 652, 26, 1322, 47, 38, 471, 12607, 47, 1815, 471, 284, 4257, 32, 2137, 463, 1285, 2456, 370, 4257, 32, 1031, 1026, 12607, 47, 1815, 471, 284, 4257, 32, 13343, 9012, 4901, 496, 81, 314, 2188, 2107, 3707, 32, 314, 2188, 2588, 284, 4257, 32, 18945, 9012, 463, 314, 683, 284, 829, 203, 589, 2835, 4944, 2262, 284, 3089, 32, 3798, 81, 1274, 463, 16845, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 1, 1, 5, 6, 6, 6, 5, 7, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 7, 9, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 11, 10, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 11, 10, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 7, 9, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 8, 7, 10, 10, 10, 10, 7, 10, 10, 10, 10, 7, 5, 5, 7, 8, 8, 7, 9, 9, 5, 5, 0, 1, 1, 2, 2, 1, 1, 5, 6, 6, 6, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 2, 6, 6, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 7, 7, 1, 2, 7, 7, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 1188, 3079, 203, 1070, 4377, 3378, 1188, 21694, 203, 3317, 280, 3079, 32, 5876, 346, 203, 50, 3317, 32, 14794, 81, 2142, 26, 102, 4062, 81, 1819, 47, 1815, 27, 203, 589, 622, 81, 2851, 81, 2388, 26, 1819, 711, 284, 442, 1619, 710, 1357, 5695, 2851, 32, 2388, 81, 1637, 203, 50, 3317, 32, 266, 13715, 81, 2142, 440, 2833, 33, 6710, 33, 6710, 32, 916, 392, 8727, 81, 1819, 47, 1815, 27, 203, 589, 2503, 81, 6710, 26, 1819, 711, 284, 2935, 280, 622, 81, 2851, 81, 2388, 26, 1819, 27, 284, 415, 1619, 32, 2040, 81, 678, 463, 784, 7831, 291, 8276, 81, 1637, 280, 1619, 710, 784, 785, 284, 813, 44, 291, 8276, 81, 1637, 280, 1665, 284, 5269, 3028, 280, 2935, 32, 371, 81, 4915, 922, 9732, 922, 266, 81, 3039, 346, 284, 436, 5269, 1094, 328, 5269, 3028, 44, 291, 5269, 1094, 32, 2245, 81, 7449, 280, 5269, 1094, 32, 371, 81, 4915, 922, 9732, 922, 266, 81, 3039, 922, 4658, 346, 291, 5269, 1094, 32, 2480, 280, 308, 38180, 81, 1637, 32, 965, 32, 15990, 26, 3039, 1094, 32, 965, 27, 415, 8276, 81, 1637, 813, 3177, 27, 284, 442, 301, 291, 313, 38180, 81, 1637, 563, 8276, 81, 1637, 30, 291, 313, 3039, 3028, 563, 5269, 3028, 30, 291, 313, 1357, 563, 1619, 710, 1357, 785, 284, 320, 203, 50, 3317, 32, 266, 13715, 81, 2142, 463, 2833, 33, 6710, 33, 6710, 81, 7449, 32, 916, 370, 8727, 81, 1819, 47, 1815, 27, 203, 589, 2503, 81, 6710, 81, 7449, 26, 1819, 30, 2935, 711, 284, 5269, 3028, 81, 4915, 280, 2935, 32, 371, 81, 4915, 922, 9732, 922, 266, 81, 3039, 346, 284, 442, 301, 291, 313, 2544, 563, 2935, 30, 291, 313, 3039, 3028, 81, 4915, 563, 5269, 3028, 81, 4915, 30, 291, 313, 1357, 563, 1619, 710, 1357, 2188, 284, 320, 203, 50, 3317, 32, 266, 13715, 81, 2142, 463, 2833, 33, 1017, 33, 2671, 81, 3039, 81, 3768, 32, 916, 370, 8727, 81, 1819, 47, 1815, 27, 203, 589, 2503, 81, 2671, 81, 3039, 81, 3768, 26, 1819, 711, 284, 1326, 280, 1619, 710, 1357, 785, 284, 19492, 280, 21694, 32, 5740, 32, 464, 346, 284, 5951, 81, 3028, 280, 1605, 284, 436, 5951, 328, 19492, 44, 291, 1623, 81, 426, 280, 5951, 32, 3768, 81, 426, 291, 1623, 81, 6928, 280, 26652, 3768, 1057, 474, 1623, 81, 426, 291, 5951, 81, 3028, 32, 1689, 15520, 426, 563, 1623, 81, 426, 30, 313, 6928, 563, 1623, 81, 6928, 1748, 284, 442, 301, 291, 313, 1357, 563, 1326, 30, 291, 313, 24418, 563, 19492, 30, 291, 313, 3768, 81, 3028, 563, 5951, 81, 3028, 284, 320, 203, 50, 3317, 32, 2029, 203, 589, 1984, 81, 753, 81, 2665, 81, 452, 81, 668, 26, 965, 81, 3028, 81, 2665, 711, 284, 2803, 81, 668, 280, 3330, 284, 436, 1202, 30, 853, 328, 1984, 81, 3028, 81, 2665, 44, 291, 415, 1202, 863, 313, 1637, 563, 324, 2803, 81, 668, 1454, 14248, 23, 101, 6132, 101, 20, 904, 308, 678, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 0, 3, 2, 2, 4, 5, 4, 0, 2, 5, 4, 5, 5, 5, 4, 6, 6, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 4, 7, 9, 9, 7, 5, 6, 6, 6, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 7, 7, 7, 7, 8, 7, 3, 3, 4, 6, 7, 7, 7, 6, 8, 8, 4, 4, 8, 8, 7, 7, 8, 10, 10, 4, 4, 5, 5, 5, 9, 9, 8, 8, 3, 3, 6, 5, 5, 11, 12, 12, 12, 11, 10, 9, 8, 8, 8, 7, 3, 3, 4, 5, 4, 4, 5, 4, 4, 4, 9, 8, 9, 9, 9, 7, 7, 16, 15, 16, 16, 16, 15, 14, 13, 12, 12, 12, 11, 10, 9, 5, 5, 9, 8, 9, 7, 7, 13, 13, 13, 12, 13, 11, 12, 11, 13, 13, 12, 13, 11, 9, 9, 10, 10, 9, 9, 8, 3, 3, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 6, 7, 5, 5, 5, 8, 8, 6, 7, 9, 9, 5, 5, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 6, 6, 6, 5, 5, 11, 12, 12, 12, 11, 10, 9, 8, 8, 8, 7, 3, 3, 4, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 7, 5, 5, 5, 8, 8, 6, 7, 9, 9, 5, 5, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 5, 5, 6, 8, 8, 3, 3, 5, 5, 8, 9, 7, 8, 7, 3, 3, 6, 6, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 8, 8, 7, 7, 8, 9, 9, 9, 5, 5, 8, 8, 7, 7, 10, 10, 8, 8, 9, 9, 5, 5, 9, 9, 8, 9, 8, 12, 12, 10, 11, 11, 9, 9, 12, 12, 10, 11, 11, 9, 3, 3, 4, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 2, 6, 6, 5, 5, 3, 3, 4, 5, 6, 4, 4, 5, 5, 5, 5, 4, 4, 4, 6, 7, 7, 9, 9, 6, 6, 10, 10, 9, 9, 12, 12, 12, 12, 12, 10, 10, 12, 11 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 4, 4, 3, 1, 3, 3, 3, 3, 3, 3, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 5, 5, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 1, 1, 1, 1, 2, 5, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 1, 2, 5, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 4, 4, 4, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 0, 0, 0, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 2, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2 ]
[ 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 465, 2322, 203, 5522, 26, 284, 636, 1057, 11025, 31, 2250, 31, 8881, 370, 284, 1503, 280, 313, 34, 32, 35, 35, 392, 284, 3048, 347, 66, 1694, 12877, 436, 6892, 18297, 8528, 392, 284, 4081, 1057, 57, 586, 349, 559, 1372, 14157, 587, 370, 284, 4081, 81, 1935, 1057, 89, 586, 349, 50, 7026, 20938, 277, 2465, 32, 1299, 370, 284, 1984, 1057, 525, 555, 933, 32, 508, 33, 89, 586, 28384, 33, 11025, 31, 2250, 31, 8881, 13093, 284, 7599, 280, 2290, 81, 5043, 463, 1617, 1425, 284, 2652, 81, 1515, 280, 5053, 11501, 1617, 8885, 284, 3541, 280, 313, 6675, 392, 284, 16400, 280, 313, 11025, 298, 1694, 392, 284, 2443, 81, 13966, 6020, 291, 330, 43764, 370, 291, 330, 29512, 3206, 7148, 35, 32, 37, 370, 291, 330, 10186, 2281, 90, 370, 291, 330, 11172, 370, 284, 2505, 284, 2305, 81, 1320, 81, 605, 47, 1815, 30, 284, 8529, 81, 4770, 47, 2700, 30, 284, 3414, 81, 3953, 347, 1010, 291, 428, 20437, 32, 98, 1694, 81, 1297, 81, 2387, 79, 291, 8527, 81, 2250, 47, 11025, 81, 2250, 81, 8881, 32, 98, 1694, 8881, 44, 36115, 3196, 3442, 291, 8527, 81, 2446, 103, 1125, 2435, 81, 2250, 47, 11025, 81, 2250, 81, 8881, 32, 98, 1694, 8881, 44, 36115, 53, 2947, 1125, 2422, 3442, 291, 14165, 7491, 81, 2250, 47, 11025, 81, 2250, 81, 8881, 32, 98, 1694, 8881, 44, 14140, 17127, 3196, 3442, 284, 3330, 392, 284, 43397, 280, 428, 291, 313, 1428, 4611, 37393, 5467, 2037, 36646, 392, 291, 313, 3786, 2037, 546, 2123, 46573, 2037, 7131, 1177, 392, 291, 330, 25900, 1171, 2037, 6642, 40201, 370, 291, 330, 23560, 6633, 2037, 4865, 370, 284, 2505, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 8, 8, 3, 3, 5, 5, 4, 4, 8, 8, 8, 3, 3, 4, 4, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 3, 3, 5, 5, 4, 5, 5, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 5, 5, 3, 3, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 9, 1, 1, 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, 1, 1, 1, 1, 13, 13, 0, 0, 1, 1, 2, 1, 1, 0, 0, 15, 15, 1, 1, 2, 1, 1, 17, 17, 1, 2, 1, 1, 19, 19, 1, 1, 1, 2, 1, 1, 0, 0, 21, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 23, 2, 1, 1, 1, 0, 0, 25, 2, 1, 1, 1, 0, 0, 27, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29, 29, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 21, 334, 645, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 45998, 1196, 1188, 9618, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 40946, 81, 10629, 619, 617, 203, 1070, 2417, 1262, 32, 3378, 1188, 5412, 203, 1070, 638, 1567, 1188, 3903, 203, 1070, 638, 16012, 81, 7390, 1188, 39620, 3373, 203, 823, 14063, 12349, 1572, 26, 3378, 32, 1572, 711, 284, 665, 622, 81, 37741, 26, 784, 711, 291, 442, 2599, 922, 371, 81, 37741, 922, 1613, 81, 10513, 26, 324, 330, 2250, 370, 324, 330, 16012, 81, 7390, 370, 324, 330, 22130, 370, 324, 330, 22130, 505, 2250, 370, 324, 330, 22130, 505, 5207, 81, 496, 370, 291, 829, 284, 665, 4576, 26, 784, 30, 1256, 711, 291, 22513, 280, 630, 32, 371, 81, 37741, 346, 291, 415, 1256, 461, 646, 1256, 32, 297, 81, 1071, 81, 464, 2262, 324, 22513, 280, 22513, 32, 2029, 26, 400, 2074, 81, 314, 505, 266, 47, 496, 32, 371, 81, 7297, 1026, 400, 10670, 81, 314, 505, 266, 47, 496, 32, 371, 81, 980, 303, 483, 346, 324, 829, 291, 442, 22513, 203, 823, 1683, 7149, 1572, 26, 5041, 12349, 1572, 711, 284, 665, 622, 81, 37741, 26, 784, 711, 291, 442, 2599, 922, 371, 81, 37741, 922, 2029, 26, 7149, 47, 34, 27, 284, 665, 4576, 26, 784, 30, 1256, 711, 291, 22513, 280, 2599, 922, 3473, 26, 496, 547, 2029, 26, 7149, 47, 34, 27, 291, 415, 1256, 44, 324, 22513, 280, 22513, 32, 2029, 26, 3378, 32, 67, 26, 16012, 81, 7390, 505, 3707, 505, 314, 505, 266, 6020, 496, 32, 314, 30, 8834, 324, 523, 4549, 32, 67, 26, 16012, 81, 7390, 505, 3707, 47, 2521, 490, 291, 813, 44, 324, 22513, 280, 22513, 32, 2029, 26, 16012, 81, 7390, 505, 3707, 47, 2521, 27, 291, 442, 22513, 203, 823, 39620, 1572, 26, 5041, 12349, 1572, 711, 284, 665, 1487, 26, 784, 30, 10670, 30, 5644, 30, 1056, 711, 291, 2830, 280, 39620, 346, 291, 2830, 32, 22130, 280, 10670, 291, 2830, 32, 2250, 280, 10670, 32, 2250, 291, 2830, 32, 16012, 81, 7390, 280, 5644, 291, 2830, 32, 1267, 280, 1056, 291, 2830, 32, 2853, 346, 291, 442, 2830, 203, 823, 39620, 26, 1151, 711, 284, 14126, 81, 13387, 81, 15916, 11980, 280, 308, 291, 2726, 289, 370, 30121, 705, 1505, 436, 597, 13356, 291, 2726, 2585, 81, 289, 370, 30121, 28565, 372, 597, 13356, 291, 2726, 23521, 370, 30121, 28565, 372, 10714, 13356, 291, 2726, 311, 20448, 370, 30121, 1061, 20448, 13356, 284, 829, 284, 18830, 81, 7390, 280, 4549, 32, 13343, 26, 291, 39620, 3373, 30, 291, 544, 81, 2560, 47, 3378, 32, 28781, 30, 291, 9541, 81, 426, 11645, 440, 16012, 5644, 657, 284, 829, 284, 1056, 280, 4549, 32, 10215, 26, 291, 9541, 81, 426, 11645, 440, 1267, 2113, 291, 744, 47, 1815, 30, 291, 11771, 47, 1815, 284, 829, 284, 8137, 280, 4549, 32, 39471, 26, 291, 9541, 81, 426, 11645, 440, 7149, 2113, 291, 1244, 47, 2700, 30, 284, 829, 284, 2074, 280, 4549, 32, 13343, 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, 0, 0, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 4, 3, 4, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 11, 10, 10, 10, 9, 8, 8, 8, 7, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 7, 9, 10, 10, 10, 10, 10, 9, 5, 5, 8, 8, 10, 11, 10, 10, 10, 12, 12, 12, 12, 11, 14, 13, 14, 14, 14, 13, 10, 10, 12, 12, 12, 12, 11, 14, 13, 14, 14, 14, 14, 14, 13, 10, 10, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 11, 10, 10, 10, 9, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 12, 11, 10, 11, 10, 9, 8, 10, 9, 10, 8, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 10, 14, 13, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 17, 16, 17, 15, 15, 11, 11, 11, 13, 14, 13, 15, 15, 15, 15, 15, 14, 15, 13, 5, 5, 6, 6, 6, 9, 9, 11, 12, 11, 13, 13, 13, 13, 13, 12, 13, 11, 4, 4, 5, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 7, 4, 4, 5, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 6, 10, 10, 10, 10, 5, 5, 8, 8, 6, 10, 10, 10, 10, 5, 5, 8, 8, 8, 6, 10, 10, 10, 5, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 6, 6, 6, 8, 8, 7, 9, 8, 9, 6, 6, 6, 8, 8, 7, 9, 11, 11, 11, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 8, 8, 7, 9, 11, 11, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 8, 8, 7, 9, 11, 11, 6, 6, 7, 8, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6 ]
[ 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 6, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 2, 0, 8, 8, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 2, 0, 9, 9, 1, 2, 1, 1, 1, 2, 9, 9, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 1, 4, 4, 6, 0, 10, 10, 2, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 1, 2, 7, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 2, 2, 1, 1, 1, 0, 0, 5, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1 ]
[ 465, 2322, 203, 465, 316, 203, 465, 22977, 203, 465, 5237, 203, 1070, 29947, 1188, 4705, 203, 589, 622, 81, 1648, 26, 1320, 711, 284, 623, 2156, 26, 500, 32, 983, 32, 2524, 26, 1320, 30, 11477, 1664, 9818, 978, 1425, 330, 4506, 683, 619, 3219, 81, 978, 44, 291, 1561, 280, 3219, 81, 978, 32, 850, 922, 5460, 463, 3310, 31, 42, 683, 291, 442, 316, 32, 1903, 27176, 1648, 505, 280, 2107, 1492, 729, 12456, 10255, 1446, 24913, 710, 29513, 392, 1561, 547, 1363, 26, 35, 27, 203, 426, 280, 330, 1990, 22943, 31, 20063, 742, 686, 270, 2846, 31, 16051, 25, 203, 1648, 280, 622, 81, 1648, 463, 1990, 22943, 81, 4738, 81, 2846, 81, 16051, 683, 203, 1320, 280, 330, 1990, 22943, 81, 4738, 81, 2846, 81, 16051, 25, 203, 2310, 280, 330, 3265, 3704, 6512, 4122, 9156, 436, 18297, 12433, 8361, 25, 203, 965, 280, 330, 641, 555, 933, 32, 508, 33, 1990, 22943, 725, 33, 11025, 31, 4738, 31, 2846, 31, 16051, 25, 203, 2116, 280, 330, 60, 2475, 40005, 6798, 25, 203, 2116, 81, 1935, 280, 330, 92, 6126, 6798, 50, 371, 84, 41759, 32, 508, 25, 203, 2077, 280, 330, 6675, 25, 203, 3789, 81, 13966, 280, 428, 284, 330, 4997, 21387, 7148, 35, 32, 38, 32, 34, 23604, 36, 32, 34, 32, 34, 25, 203, 79, 203, 589, 1491, 2740, 8478, 711, 284, 623, 2156, 26, 500, 32, 983, 32, 2524, 2740, 8478, 471, 330, 100, 683, 619, 296, 44, 291, 442, 296, 32, 850, 346, 203, 589, 622, 81, 5043, 26, 1320, 711, 284, 442, 428, 1515, 983, 324, 436, 4921, 983, 30, 4921, 4243, 30, 26719, 328, 2322, 32, 11905, 26, 1320, 27, 324, 415, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 1515, 983, 30, 11477, 1664, 9818, 978, 2847, 79, 203, 589, 622, 81, 1320, 81, 605, 26, 1320, 711, 284, 13503, 280, 10440, 1515, 983, 32, 3227, 26, 1320, 474, 2322, 32, 12595, 30, 2550, 225, 35, 471, 26719, 27, 324, 436, 4921, 983, 30, 4921, 4243, 30, 26719, 328, 2322, 32, 11905, 26, 1320, 27, 324, 415, 646, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 1515, 983, 30, 11477, 1664, 9818, 978, 2847, 79, 284, 803, 8478, 280, 1605, 284, 436, 1695, 30, 26719, 328, 13503, 44, 291, 803, 8478, 32, 8233, 2009, 500, 32, 983, 32, 2524, 26, 1439, 30, 4870, 27, 3775, 436, 4870, 328, 26719, 1130, 284, 442, 301, 1320, 44, 803, 8478, 111, 203, 325, 5237, 32, 6118, 6448, 35, 79, 610, 330, 7211, 950, 284, 415, 2322, 32, 2946, 463, 9060, 34777, 523, 14173, 19461, 7831, 291, 1459, 463, 15668, 646, 6713, 5327, 96, 4391, 529, 9060, 2443, 19461, 2541, 78, 96, 8112, 299, 11834, 291, 5237, 32, 4775, 346, 284, 415, 2322, 32, 2946, 463, 9060, 34777, 523, 14173, 8206, 482, 7831, 291, 1459, 463, 4148, 482, 646, 6713, 5327, 96, 4391, 529, 9060, 2443, 8206, 482, 2541, 78, 96, 8112, 299, 11834, 291, 5237, 32, 4775, 346, 284, 2322, 32, 2946 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 8, 12, 11, 12, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 8, 10, 10, 6, 6, 8, 8, 3, 3, 3, 6, 6, 11, 11, 10, 11, 10, 9, 8, 10, 10, 10, 10, 4, 4, 5, 9, 10, 9, 11, 11, 11, 11, 12, 11, 11, 11, 12, 11, 11, 12, 11, 9, 9, 8, 7, 8, 7, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 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, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 4, 2, 1, 1, 3, 8, 12, 11, 12, 10, 11, 10, 12, 10, 8, 10, 10, 6, 6, 3, 3, 3, 5, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 4, 4, 5, 7, 6, 6, 7, 6, 6, 5, 5, 7, 8, 7, 8, 7, 4, 4, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 9, 9, 11, 11, 11, 11, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 9, 9, 8, 9, 8, 10, 9, 9, 10, 11, 8, 8, 8, 9, 8, 6, 6, 5, 5, 6, 8, 7, 7, 8, 7, 7, 6, 6, 8, 9, 8, 9, 8, 5, 5, 6, 7, 10, 11, 9, 10, 9, 13, 12, 13, 11, 12, 11, 12, 12, 11, 11, 13, 13, 13, 13, 5, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 8, 7, 8, 7, 12, 11, 12, 10, 11, 10, 11, 10, 10, 10, 8, 8, 9, 9, 9, 8, 2, 2, 3, 6, 5, 5, 6, 4, 0, 1, 1, 4, 5, 3, 5, 3, 2, 2, 4, 4, 1, 1, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 3, 3, 7, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 10, 10, 9, 9, 9, 4, 4, 7, 8, 7, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 7, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 9, 9, 4, 4, 7, 8, 7, 2, 2, 5, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 3, 3, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 15, 15, 2, 1, 2, 15, 15, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 16, 16, 1, 1, 2, 1, 2, 16, 16, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 17, 17, 1, 1, 1, 1, 2, 1, 2, 17, 17, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 5, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 3, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 4, 4, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 3, 0, 1, 1, 2, 1, 0, 18, 18, 0, 2, 0, 1, 0, 1, 1, 1, 2, 18, 18, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 0, 2 ]
[ 465, 2322, 203, 465, 29590, 203, 1070, 15798, 1188, 19205, 203, 1070, 281, 652, 2338, 1188, 44524, 203, 1070, 16267, 5898, 32, 1356, 15824, 1188, 4705, 203, 1070, 16267, 5898, 32, 1237, 1188, 308, 284, 2575, 5837, 30, 284, 10726, 3135, 30, 284, 829, 203, 1070, 16267, 5898, 32, 1040, 1188, 1914, 81, 979, 81, 25355, 203, 3765, 81, 8182, 280, 1524, 203, 1167, 17988, 301, 664, 629, 5697, 45, 664, 629, 29115, 45, 664, 1472, 203, 410, 2575, 26, 410, 12030, 30, 660, 1351, 28, 6184, 27, 301, 664, 434, 4185, 5093, 664, 17988, 9214, 45, 664, 9214, 32, 1109, 9864, 1958, 664, 442, 225, 34, 45, 203, 111, 203, 2993, 203, 3765, 81, 8182, 81, 12003, 81, 8569, 280, 1524, 203, 21, 1017, 313, 3986, 32, 10429, 20, 203, 410, 2575, 26, 410, 12030, 30, 1351, 326, 6184, 27, 301, 334, 17988, 9214, 45, 334, 9214, 32, 1109, 9864, 1958, 203, 111, 203, 2993, 203, 3765, 81, 8569, 280, 1524, 203, 1167, 17988, 301, 334, 629, 5697, 45, 334, 629, 29115, 45, 334, 629, 9789, 38169, 45, 203, 1255, 203, 2993, 203, 823, 2108, 2981, 2554, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 4705, 346, 284, 665, 894, 81, 1831, 5837, 26, 784, 711, 291, 9233, 280, 44524, 440, 48682, 10445, 78, 96, 657, 291, 963, 88, 280, 44524, 346, 291, 2575, 5837, 440, 858, 32, 85, 392, 5518, 9233, 30, 963, 88, 27, 284, 665, 894, 81, 1855, 761, 81, 3515, 26, 784, 711, 291, 3523, 280, 10726, 3135, 440, 858, 32, 85, 392, 11544, 291, 1914, 280, 5895, 81, 8182, 291, 9233, 280, 44524, 440, 1855, 81, 1322, 6069, 91, 78, 96, 23, 101, 78, 96, 78, 96, 20, 904, 308, 1657, 26, 1855, 471, 1914, 490, 291, 963, 88, 280, 44524, 346, 291, 3523, 32, 1855, 761, 26, 5267, 30, 963, 88, 27, 291, 630, 32, 5299, 26, 324, 1914, 30, 324, 3523, 32, 1855, 30, 324, 829, 284, 665, 894, 81, 15825, 26, 784, 711, 291, 3523, 280, 10726, 3135, 440, 858, 32, 85, 392, 11544, 291, 623, 3523, 44, 324, 2260, 30, 1914, 280, 1914, 81, 979, 81, 25355, 26, 3765, 81, 8182, 27, 324, 9233, 280, 44524, 440, 643, 6069, 91, 78, 96, 2592, 6069, 91, 78, 96, 1855, 81, 1322, 6069, 91, 78, 96, 23, 101, 78, 96, 78, 96, 20, 904, 6029, 308, 1493, 77, 34, 614, 2260, 77, 35, 614, 2069, 26, 1855, 471, 1914, 490, 324, 963, 88, 280, 44524, 346, 324, 3523, 32, 15825, 26, 5267, 30, 963, 88, 27, 324, 1795, 280, 963, 88, 32, 371, 853, 346, 324, 1201, 1795, 32, 20643, 18663, 657, 324, 1201, 313, 5762, 815, 5072, 44, 5697, 20, 328, 1795, 324, 1201, 313, 5762, 815, 5072, 44, 29115, 20, 328, 1795, 284, 665, 894, 81, 41842, 81, 1132, 26, 784, 711, 291, 3523, 280, 10726, 3135, 440, 858, 32, 85, 392, 11544, 291, 623, 3523, 44, 324, 1201, 646, 3523, 32, 1132, 324, 2181, 280, 3037, 31, 59, 579, 906, 10026, 1373, 392, 4825, 59, 6126, 404, 1446, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 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, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 11, 11, 10, 4, 4, 7, 6, 6, 8, 4, 4, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 10, 10, 10, 8, 4, 4, 6, 6, 7, 7, 4, 4, 6, 6, 8, 11, 11, 11, 11, 11, 12, 12, 11, 11, 12, 12, 12, 12, 11, 9, 9, 12, 12, 13, 12, 10, 10, 4, 4, 7, 6, 6, 8, 4, 4, 7, 8, 8, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 7, 7, 7, 7, 7, 8, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 10, 10, 10, 8, 4, 4, 5, 5, 5, 5, 9, 9, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 10, 6, 6, 8, 8, 10, 13, 13, 13, 14, 14, 13, 13, 13, 14, 14, 13, 13, 13, 13, 13, 14, 14, 13, 13, 14, 14, 14, 14, 13, 11, 11, 11, 14, 13, 14, 13, 12, 13, 14, 13, 12, 14, 15, 14, 12, 12, 6, 6, 9, 8, 8, 10, 6, 6, 9, 10, 9, 10, 9, 9, 10, 9, 6, 6, 8, 8, 11, 10, 11, 11, 10, 6, 6, 7, 9, 10, 9, 11, 6, 6, 7, 10, 10, 10, 10, 10, 10, 8, 8, 6, 6, 7, 10, 10, 10, 10, 10, 10, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 10, 10, 10, 8, 4, 4, 5, 5, 5, 5, 7, 8, 9, 10, 6, 6, 8, 8, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 1, 2, 2, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 2, 1, 2, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 7, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 4, 4, 2, 1, 1, 1, 0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 1, 1, 2, 2, 3, 3, 0, 0, 0, 1, 3, 3, 0, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 2, 2, 1, 3, 3, 5, 0, 2, 1, 2, 3, 3, 6, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 7, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 2322, 203, 465, 5237, 203, 465, 15798, 203, 465, 24731, 32, 1580, 203, 1070, 24731, 32, 1580, 32, 4738, 1188, 24558, 203, 1070, 24731, 32, 1580, 32, 7797, 32, 6038, 81, 104, 35, 5992, 35, 81, 1237, 1188, 15310, 72, 35, 5992, 35, 2551, 203, 823, 2108, 4248, 72, 35, 5992, 35, 2551, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1237, 280, 24731, 32, 1580, 32, 7797, 32, 6038, 81, 104, 35, 5992, 35, 81, 1237, 32, 4248, 72, 35, 5992, 35, 2551, 346, 284, 665, 28921, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 1297, 81, 38007, 81, 8601, 81, 1285, 26255, 81, 16855, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 2560, 81, 4170, 81, 38007, 81, 8601, 81, 1285, 26255, 81, 16855, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 2560, 81, 38007, 81, 8601, 81, 1285, 26255, 81, 16855, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 371, 81, 1237, 81, 5379, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 668, 81, 38007, 81, 8601, 81, 1285, 26255, 81, 16855, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 668, 81, 8601, 81, 1285, 26255, 81, 16855, 81, 979, 81, 464, 81, 21043, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 2675, 81, 38007, 81, 8601, 81, 1285, 26255, 81, 16855, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 2675, 81, 38007, 81, 8601, 81, 1285, 26255, 81, 16855, 81, 1517, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 850, 81, 38007, 81, 8601, 81, 1285, 26255, 81, 16855, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 850, 81, 38007, 81, 8601, 81, 1285, 26255, 81, 16855, 81, 1517, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 3227, 81, 38007, 81, 8601, 81, 1285, 26255, 81, 16855, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 3227, 81, 38007, 81, 8601, 81, 1285, 26255, 81, 16855, 81, 1517, 26, 784, 711, 291, 3097, 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, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 11, 12, 10, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 4, 4, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 4, 4, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 4, 4, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 4, 4, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 4, 4, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 12, 12, 4, 4, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 8, 8, 0, 0, 1, 1, 1, 1, 8, 8, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 30902, 1188, 1344, 203, 1070, 30902, 32, 14806, 1188, 14291, 543, 924, 619, 12285, 20662, 9191, 543, 924, 203, 1070, 298, 2209, 5533, 32, 530, 1188, 14291, 543, 924, 619, 447, 2209, 5533, 9191, 543, 924, 203, 1070, 30902, 32, 14806, 1188, 8073, 1104, 924, 203, 1070, 638, 6390, 1188, 3082, 81, 2848, 203, 1070, 638, 3378, 1188, 308, 284, 10653, 1120, 30, 3891, 4068, 31522, 605, 30, 3891, 13592, 30, 34993, 5332, 30, 2680, 12338, 30, 284, 2688, 91, 713, 6315, 30, 2688, 91, 713, 435, 1526, 30, 2680, 30, 2688, 91, 713, 750, 30, 2688, 91, 713, 66, 13225, 203, 27, 203, 1070, 43547, 1188, 3082, 81, 3375, 81, 27680, 203, 823, 8751, 6420, 44, 284, 477, 17614, 284, 477, 1199, 81, 3375, 81, 27680, 284, 665, 1015, 81, 658, 26, 6933, 30, 706, 711, 291, 3082, 81, 2848, 32, 669, 26, 605, 27, 291, 3082, 81, 2848, 32, 3375, 346, 284, 477, 17614, 284, 477, 1199, 81, 3375, 81, 27680, 284, 665, 1015, 81, 464, 26, 6933, 30, 19634, 711, 291, 1596, 44, 324, 3082, 81, 2848, 32, 669, 81, 464, 26, 14028, 27, 324, 3082, 81, 2848, 32, 3375, 346, 291, 2940, 308, 5344, 20662, 9191, 543, 924, 30, 447, 2209, 5533, 9191, 543, 924, 30, 8073, 1104, 924, 711, 324, 436, 706, 328, 19634, 44, 400, 9011, 32, 669, 81, 658, 26, 605, 27, 203, 823, 10653, 1120, 6420, 44, 284, 477, 17614, 284, 665, 622, 81, 3615, 81, 1338, 26, 6933, 711, 291, 442, 3082, 81, 2848, 32, 1217, 26, 5324, 1120, 32, 426, 30, 10653, 1120, 32, 2895, 30, 10653, 1120, 32, 4898, 547, 766, 324, 2761, 26, 878, 463, 4898, 47, 35, 12097, 464, 346, 284, 477, 17614, 284, 477, 1199, 81, 3375, 81, 27680, 284, 665, 34777, 81, 3524, 26, 6933, 30, 636, 30, 9224, 711, 1802, 3497, 280, 3082, 81, 2848, 32, 1217, 26, 5324, 1120, 547, 2029, 26, 5324, 1120, 32, 426, 610, 636, 547, 2232, 346, 291, 3497, 32, 4898, 280, 9224, 291, 3082, 81, 2848, 32, 3375, 346, 203, 823, 3891, 4068, 750, 6420, 44, 284, 477, 17614, 284, 477, 1199, 81, 3375, 81, 27680, 284, 665, 5551, 81, 7317, 81, 12108, 314, 26, 6933, 30, 11659, 81, 314, 30, 341, 12117, 711, 291, 11659, 81, 12108, 605, 280, 3891, 4068, 31522, 605, 346, 291, 11659, 81, 12108, 605, 32, 12108, 81, 314, 280, 341, 12117, 291, 11659, 81, 12108, 605, 32, 7317, 81, 314, 280, 11659, 81, 314, 291, 3082, 81, 2848, 32, 669, 26, 7317, 81, 12108, 605, 27, 291, 3082, 81, 2848, 32, 3375, 346, 203, 823, 3891, 4068, 6420, 44, 284, 477, 17614, 284, 665, 622, 81, 1903, 81, 7255, 26, 6933, 711, 291, 442, 3082, 81, 2848, 32, 1217, 26, 953, 13592, 32, 7317, 30, 3891, 13592, 32, 314, 547, 2029, 26, 878, 463, 4898, 47, 35, 12097, 464, 346, 284, 477, 17614, 284, 477, 1199, 81, 3375, 81, 27680, 284, 665, 739, 81, 539, 2274, 81, 7317, 26, 6933, 30, 11659, 711, 291, 3233, 81, 1112, 280, 3082, 81, 2848, 32, 1217 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 1, 1, 1, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 9, 9, 8, 9, 8, 9, 8, 5, 5, 9, 9, 8, 9, 8, 2, 2, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 6, 6, 11, 11, 10, 11, 11, 11, 10, 11, 10, 7, 7, 11, 11, 10, 11, 10, 6, 6, 7, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 13, 14, 14, 14, 13, 14, 13, 0, 1, 1, 2, 2, 1, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 13, 13, 12, 13, 12, 14, 14, 13, 14, 12, 12, 14, 13, 14, 12, 12, 14, 13, 14, 12, 10, 11, 10, 10, 12, 12, 14, 14, 14, 14, 9, 8, 2, 2, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 7, 7, 14, 14, 13, 14, 13, 14, 14, 13, 12, 11, 14, 14, 13, 14, 12, 12, 11, 10, 9, 2, 2, 5, 6, 4, 4, 2, 2, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 1, 1, 1, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 5, 4, 4, 8, 8, 8, 7, 7, 9, 9, 9, 9, 5, 5, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 5, 5, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 9, 9, 8, 9, 8, 9, 9, 9, 9, 8, 5, 5, 9, 9, 8, 9, 8, 0, 1, 1, 2, 2, 1, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 13, 13, 12, 13, 12, 14, 14, 13, 14, 12, 12, 14, 13, 14, 12, 11, 10, 12, 12, 14, 14, 14, 14, 9, 8, 2, 2, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 8, 7, 7, 14, 14, 13, 14 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 3, 3, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 7, 7, 7, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 5, 5, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 8, 8, 1, 1, 8, 8, 8, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 3, 0, 2, 0, 0, 3, 3, 0, 0, 0, 2, 1, 0, 9, 9, 1, 1, 1, 9, 9, 9, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 10, 10, 1, 1, 10, 10, 10, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 3, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2 ]
[ 1216, 4064, 1427, 8223, 203, 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 13134, 32, 24260, 1188, 9500, 26844, 43651, 203, 1070, 13134, 32, 1160, 81, 8319, 1188, 5683, 81, 858, 81, 2998, 203, 1070, 13134, 32, 6844, 2024, 1188, 10473, 2301, 43651, 203, 325, 1156, 426, 505, 610, 11477, 14842, 14935, 284, 1188, 2322, 284, 1188, 29590, 284, 624, 280, 225, 42, 34, 34, 284, 32943, 280, 225, 36, 34, 284, 1334, 26, 73, 30, 225, 40, 34, 34, 27, 284, 5743, 32, 8475, 346, 284, 5743, 32, 25371, 346, 284, 5743, 32, 2679, 463, 464, 683, 284, 665, 1779, 893, 2262, 291, 296, 906, 280, 29590, 32, 11049, 24723, 974, 26, 2816, 1057, 105, 29, 84, 370, 12809, 1057, 32, 1645, 370, 3066, 47, 2700, 27, 291, 18146, 280, 296, 906, 32, 426, 291, 296, 906, 32, 2679, 346, 291, 442, 18146, 284, 4791, 106, 280, 225, 36, 34, 284, 4791, 107, 280, 225, 34, 284, 665, 5743, 2245, 26, 6073, 30, 33942, 47, 35, 39, 34, 711, 291, 3649, 4791, 106, 30, 4791, 107, 291, 1779, 983, 280, 1779, 893, 346, 291, 5743, 32, 25317, 26, 1433, 983, 30, 33942, 47, 16528, 27, 291, 12211, 30, 7032, 280, 1778, 891, 26, 1433, 983, 27, 291, 341, 280, 1847, 26, 73, 30, 4582, 27, 291, 1778, 26, 1433, 983, 30, 1275, 106, 30, 1275, 107, 30, 1644, 47, 105, 27, 291, 4791, 107, 280, 4791, 107, 474, 13196, 474, 225, 36, 34, 291, 2322, 32, 2546, 26, 1433, 983, 27, 291, 1334, 26, 73, 30, 29920, 29, 7032, 29, 38, 34, 27, 203, 1824, 44, 284, 665, 5743, 2245, 26, 23491, 17449, 711, 291, 48499, 17449, 32, 2245, 346, 203, 19050, 280, 2065, 32, 3855, 32, 6096, 1078, 26, 35, 27, 203, 74, 280, 2065, 32, 3323, 26, 36, 34, 34, 319, 23735, 32, 6386, 26, 40, 34, 34, 30, 225, 35, 27, 429, 225, 35, 34, 34, 30, 6013, 47, 34, 27, 203, 107, 280, 2065, 32, 955, 2009, 2356, 32, 1295, 319, 2065, 32, 7102, 26, 74, 547, 38665, 1026, 2065, 32, 1295, 319, 2065, 32, 4952, 26, 74, 547, 38665, 7662, 547, 70, 203, 107, 1454, 308, 34, 32, 39, 429, 23735, 32, 6386, 2740, 107, 32, 3229, 490, 203, 74, 81, 3239, 30, 1593, 81, 858, 30, 533, 81, 3239, 30, 533, 81, 858, 280, 5683, 81, 858, 81, 2998, 26, 74, 30, 533, 30, 5593, 5683, 81, 891, 47, 38, 34, 34, 30, 5593, 3995, 81, 1293, 47, 38, 27, 203, 1449, 81, 6299, 280, 225, 37, 34, 203, 268, 771, 81, 7740, 476, 88, 280, 10473, 2301, 43651, 26, 6096, 26844, 43651, 26, 1449, 81, 6299, 47, 1449, 81, 6299, 30, 24896, 3995, 81, 1293, 47, 34, 490, 203, 268, 771, 81, 7740, 476, 88, 32, 4698, 26, 74, 81, 3239, 30, 533, 81, 3239, 27, 203, 268, 771, 81, 4918, 280, 9500, 26844, 43651, 26, 1449, 81, 6299, 47, 1449, 81, 6299, 30, 3995, 81, 1293, 47, 36, 27, 203, 268, 771, 81, 4918, 32, 4698, 26, 74 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 4, 4, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 2, 2, 3, 2, 2, 4, 4, 5, 5, 5, 2, 2, 4, 4, 5, 5, 2, 2, 5, 6, 5, 5, 6, 6, 6, 5, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 7, 7, 2, 2, 3, 4, 4, 3, 3, 7, 6, 6, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 8, 9, 11, 11, 11, 8, 9, 10, 8, 4, 4, 6, 6, 8, 7, 8, 4, 4, 8, 7, 8, 7, 4, 4, 5, 2, 2, 5, 4, 4, 5, 5, 2, 2, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 6, 6, 4, 3, 3, 5, 6, 5, 5, 6, 4, 4, 7, 6, 6, 8, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 8, 9, 7, 4, 4, 7, 8, 6, 6, 8, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 7, 8, 8, 7, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 6, 6, 9, 8, 8, 7, 7, 8, 8, 4, 4, 7, 8, 7, 8, 8, 7, 4, 4, 7, 8, 7, 7, 9, 10, 8, 9, 9, 7, 1, 2, 2, 2, 2, 4, 5, 5, 6, 6, 5, 4, 4, 9, 8, 9, 8, 0, 3, 2, 2, 5, 6, 4, 5, 5, 4, 5, 4, 0, 3, 2, 2, 4, 5, 4, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 8, 5, 5, 6, 6, 6, 4, 4, 5, 6, 4, 0, 3, 2, 2, 5, 6, 5, 9, 8, 9, 7, 7, 11, 12, 11, 12, 11, 10, 9, 6, 8, 9, 7, 7, 11, 12, 11, 12, 11, 10, 9, 5, 4, 0, 3, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 9, 8, 9, 6, 0, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 2, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 6, 8, 8, 7, 8, 6, 0, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 4, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 4, 0, 4, 4, 4, 4, 3, 4, 3, 4 ]
[ 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 2, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 3, 3, 1, 3, 3, 0, 0, 2, 2, 2, 3, 3, 0, 0, 2, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 1, 2, 3, 3, 8, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 2, 1, 4, 4, 3, 3, 3, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 3, 3, 11, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 11, 11, 0, 1, 0, 0, 3, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 3, 3, 1, 5, 5, 1, 0, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 2, 3, 2, 2, 1, 6, 4, 4, 4, 4, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 2, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 3, 3, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 7138, 203, 465, 4096, 619, 2642, 94, 203, 1070, 4096, 32, 3922, 1188, 12259, 203, 1070, 4096, 32, 2304, 1188, 3185, 3225, 30, 622, 15097, 30, 8664, 1003, 81, 10185, 30, 3185, 770, 81, 10185, 203, 465, 42406, 203, 465, 2361, 203, 465, 17281, 203, 465, 316, 203, 465, 14465, 203, 465, 3363, 203, 465, 5237, 203, 465, 42532, 761, 203, 1070, 2340, 1040, 32, 3922, 1188, 3185, 619, 2340, 81, 3922, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 27014, 101, 32, 1262, 32, 8538, 1188, 13290, 974, 1241, 203, 1070, 27014, 101, 32, 28693, 32, 8538, 1188, 10024, 26851, 1241, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 525, 1188, 17874, 203, 1070, 8527, 32, 36287, 1188, 2908, 81, 452, 81, 1986, 203, 1070, 8527, 32, 2387, 1188, 4448, 1222, 203, 1070, 8527, 32, 2387, 32, 4554, 1188, 2908, 81, 452, 81, 800, 203, 1070, 27014, 101, 32, 15831, 101, 32, 8538, 1188, 39156, 1241, 203, 1070, 27014, 101, 32, 1163, 32, 1163, 1188, 9964, 780, 101, 1063, 203, 1070, 27014, 101, 32, 1262, 32, 23095, 101, 81, 17022, 3483, 1188, 2361, 81, 4531, 30, 1487, 81, 19654, 81, 1855, 203, 1070, 27014, 101, 32, 1262, 32, 23095, 101, 81, 17022, 3483, 1188, 38663, 18409, 203, 1070, 27014, 101, 32, 1262, 32, 605, 81, 4280, 1188, 5063, 81, 2665, 203, 1070, 27014, 101, 32, 1262, 32, 11452, 1188, 23040, 974, 924, 203, 1070, 27014, 101, 32, 1262, 32, 14458, 1188, 443, 81, 1070, 81, 314, 203, 1070, 27014, 101, 32, 1262, 32, 14458, 1188, 1968, 81, 92, 1274, 30, 594, 1274, 81, 6825, 81, 668, 30, 594, 1274, 81, 6825, 81, 2560, 203, 1070, 27014, 101, 32, 1262, 32, 14458, 1188, 11412, 81, 1358, 203, 1070, 27014, 101, 32, 1262, 32, 496, 81, 4280, 1188, 1256, 81, 11250, 30, 438, 81, 2300, 30, 438, 81, 496, 81, 27967, 203, 1070, 27014, 101, 32, 1262, 32, 496, 81, 4280, 1188, 438, 81, 496, 81, 38424, 203, 1070, 27014, 101, 32, 20798, 32, 14458, 1188, 622, 81, 1327, 81, 2388, 81, 4116, 203, 1070, 27014, 101, 32, 28693, 32, 1935, 1188, 10024, 203, 1070, 27014, 101, 32, 38506, 32, 14458, 1188, 2887, 81, 18354, 81, 552, 203, 1070, 27014, 101, 32, 38506, 32, 18354, 1188, 44056, 203, 1070, 27014, 101, 32, 15636, 32, 14458, 1188, 3345, 81, 496, 81, 1070, 81, 8856, 203, 1070, 27014, 101, 32, 7088, 32, 14458, 1188, 2887, 81, 761, 30, 2887, 81, 30939, 81, 761, 30, 10869, 81, 3287, 203, 1070, 27014, 101, 32, 4255, 32, 14458, 1188, 1420, 81, 2754, 381, 203, 1070, 27014, 101, 32, 43681, 32, 40186, 1188, 38246, 2424, 203, 1070, 27014, 101, 32, 43681, 32, 38506, 1188, 308, 284, 44056, 2424, 30, 284, 44056, 13324, 2424, 30, 284, 44056, 1027, 4827, 2424, 203, 27, 203, 589, 1487, 81, 1935, 81, 1495, 81, 2665, 26, 1495, 81, 426, 30, 1014, 1600, 81, 681, 30, 1014, 1600, 81, 853, 30, 1014, 1600, 81, 2751, 318, 81, 878 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 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, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 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, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 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, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 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, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 0, 13, 13, 0, 1, 2, 13, 13, 3, 3, 2, 2, 0, 14, 14, 1, 2, 14, 14, 0, 15, 15, 0, 1, 2, 1, 4, 15, 15, 0, 0, 0, 16, 16, 0, 1, 2, 1, 4, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 4, 17, 17, 0, 18, 18, 1, 2, 18, 18, 0, 19, 19, 1, 2, 19, 19, 0, 0, 0, 0, 0, 20, 20, 1, 2, 20, 20, 0, 0, 21, 21, 1, 2, 1, 4, 21, 21, 0, 0, 0, 0, 0, 22, 22, 0, 1, 2, 2, 1, 4, 22, 22, 0, 0, 23, 23, 0, 1, 2, 1, 4, 23, 23, 0, 0, 0, 0, 24, 24, 0, 1, 2, 1, 4, 4, 4, 4, 4, 24, 24, 0, 0, 24, 24, 0, 0, 0, 0, 0, 25, 25, 0, 1, 2, 1, 4, 4, 4, 4, 4, 25, 25, 0, 0, 26, 26, 0, 1, 2, 1, 4, 4, 4, 26, 26, 0, 0, 0, 27, 27, 0, 1, 2, 1, 4, 27, 27, 0, 0, 0, 28, 28, 0, 1, 2, 1, 4, 28, 28, 0, 0, 0, 0, 0, 29, 29, 0, 1, 2, 1, 4, 29, 29, 0, 0, 0, 29, 29, 0, 0, 0, 0, 0, 29, 29, 0, 0, 0, 0, 0, 0, 30, 30, 0, 1, 2, 1, 4, 30, 30, 0, 0, 0, 31, 31, 0, 1, 2, 1, 4, 4, 4, 31, 31, 0, 0, 31, 31, 0, 0, 31, 31, 0, 0, 0, 0, 0, 32, 32, 0, 1, 2, 1, 4, 4, 4, 32, 32, 0, 0, 0, 0, 0, 33, 33, 0, 1, 2, 1, 4, 33, 33, 0, 0, 0, 0, 0, 0, 0, 34, 34, 0, 1, 2, 1, 4, 34, 34, 0, 35, 35, 0, 1, 2, 1, 4, 35, 35, 0, 0, 0, 0, 0, 36, 36, 0, 1, 2, 1, 4, 36, 36, 0, 37, 37, 0, 1, 2, 1, 4, 37, 37, 0, 0, 0, 0, 0, 0, 0, 38, 38, 0, 1, 2, 1, 4, 38, 38, 0, 0, 38, 38, 0, 0, 0, 0, 38, 38, 0, 0, 0, 39, 39, 0, 1, 2, 1, 4, 39, 39, 0, 0, 0, 0, 40, 40, 0, 1, 2, 1, 4, 40, 40, 0, 0, 41, 41, 0, 1, 2, 1, 4, 41, 41, 41, 41, 0, 41, 41, 41, 0, 0, 41, 41, 41, 0, 0, 0, 41, 41, 0, 42, 42, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 5, 5, 2, 2, 2, 7, 7, 7, 7, 7 ]
[ 465, 46032, 203, 465, 16539, 203, 465, 5237, 203, 465, 6436, 619, 2065, 261, 203, 465, 13092, 203, 1070, 12643, 32, 8524, 1188, 19430, 37, 40, 203, 1070, 12643, 1188, 22365, 203, 1070, 12643, 32, 1040, 1188, 6325, 619, 13845, 203, 589, 1188, 81, 1647, 26, 426, 711, 284, 415, 19430, 37, 40, 44, 291, 1596, 44, 324, 442, 46032, 32, 465, 81, 1647, 26, 426, 27, 291, 2940, 7703, 27981, 44, 23688, 13092, 32, 5961, 440, 1990, 7902, 619, 2149, 646, 3304, 2296, 1643, 26, 426, 490, 284, 813, 44, 291, 1596, 44, 324, 442, 46032, 32, 465, 81, 1647, 26, 426, 27, 291, 2940, 29986, 619, 484, 44, 324, 415, 313, 2023, 2297, 8189, 20, 328, 596, 26, 87, 27, 461, 636, 328, 596, 26, 87, 711, 400, 13092, 32, 5961, 440, 1990, 7902, 619, 2149, 646, 3304, 2296, 1643, 26, 426, 490, 324, 3636, 203, 50, 12408, 32, 12940, 203, 589, 5018, 2262, 284, 442, 22365, 14178, 51, 950, 428, 35, 30, 225, 36, 30, 225, 37, 33993, 203, 589, 894, 81, 86, 912, 26, 1479, 711, 284, 4559, 108, 280, 1188, 81, 1647, 463, 3732, 108, 683, 10065, 343, 912, 280, 1188, 81, 1647, 463, 86, 912, 683, 10065, 1188, 343, 912, 32, 25063, 619, 14712, 284, 343, 1479, 280, 14712, 32, 1070, 81, 24464, 26, 1479, 30, 310, 32417, 47, 37, 27, 284, 1201, 343, 1479, 32, 51, 438, 646, 1665, 284, 1201, 343, 1479, 32, 7924, 346, 438, 646, 1665, 203, 589, 894, 81, 106, 955, 26, 1479, 711, 284, 816, 955, 280, 1188, 81, 1647, 463, 106, 955, 683, 10065, 1201, 5018, 32, 452, 81, 106, 955, 346, 438, 646, 1665, 203, 589, 894, 81, 604, 81, 8311, 6766, 2262, 284, 16539, 32, 1553, 81, 1851, 2009, 3731, 32, 21823, 30, 4825, 6223, 392, 4825, 85, 392, 313, 465, 12643, 6890, 203, 50, 6546, 32, 4573, 203, 50, 12408, 32, 1826, 32, 2029, 19991, 440, 3617, 44, 3374, 1330, 44, 4196, 5711, 657, 203, 589, 894, 81, 5136, 3378, 2262, 284, 8616, 3378, 280, 1188, 81, 1647, 463, 5136, 3378, 683, 10065, 1188, 8616, 3378, 32, 1237, 619, 3438, 284, 1188, 8616, 3378, 32, 20065, 32, 1237, 619, 3438, 88, 284, 5018, 280, 3438, 32, 15183, 32, 371, 81, 100, 5613, 440, 5708, 10257, 392, 313, 21012, 750, 1895, 605, 284, 3438, 88, 32, 2441, 463, 30126, 32598, 3165, 498, 1731, 4008, 474, 2065, 32, 751, 26, 5129, 35, 42, 37, 35, 7243, 706, 47, 1479, 547, 4698, 346, 203, 50, 12408, 32, 1826, 32, 2029, 19991, 440, 3617, 44, 3374, 1330, 44, 4196, 5711, 657, 203, 589, 894, 81, 45267, 81, 7741, 26, 1479, 711, 284, 13134, 280, 1188, 81, 1647, 463, 44591, 683, 10065, 645, 13134, 1188, 46676, 30, 15500, 284, 16105, 280, 15500, 32, 944, 81, 17980, 346, 284, 38498, 280, 46676, 32, 36886, 26, 13941, 47, 34, 32, 34, 34, 35, 30, 390, 47, 35, 34, 34, 7447, 284, 38498, 32, 4698, 26, 17980, 32, 605, 20129, 35, 614, 16105, 32, 1977, 20129, 35, 1130, 284, 38498, 32, 9356, 26, 17980 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 5, 5, 7, 9, 10, 10, 10, 9, 10, 9, 5, 5, 6, 7, 6, 6, 6, 10, 11, 10, 14, 14, 14, 14, 14, 14, 14, 13, 12, 13, 12, 3, 3, 4, 4, 4, 6, 6, 6, 8, 10, 11, 11, 11, 10, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 9, 13, 13, 13, 13, 11, 11, 13, 14, 13, 10, 10, 11, 11, 13, 14, 13, 9, 9, 13, 14, 13, 17, 17, 17, 17, 17, 17, 17, 16, 15, 16, 15, 8, 8, 0, 2, 4, 3, 4, 1, 2, 2, 3, 2, 2, 4, 6, 10, 10, 8, 10, 9, 9, 10, 9, 9, 10, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 8, 8, 8, 2, 2, 5, 4, 4, 6, 6, 6, 8, 8, 8, 2, 2, 3, 6, 5, 6, 4, 4, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 7, 6, 6, 8, 7, 8, 6, 2, 2, 3, 6, 5, 6, 4, 4, 4, 2, 2, 3, 7, 6, 7, 6, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 8, 8, 8, 2, 2, 3, 6, 7, 7, 7, 7, 6, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 6, 6, 6, 5, 8, 7, 8, 6, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 0, 2, 4, 3, 4, 1, 2, 6, 5, 6, 4, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 2, 2, 6, 5, 5, 7, 7, 7, 9, 9, 9, 3, 3, 4, 7, 6, 7, 5, 5, 3, 3, 4, 7, 6, 7, 6, 7, 5, 5, 6, 3, 3, 5, 5, 9, 10, 8, 9, 9, 9, 9, 8, 10, 10, 10, 8, 10, 10, 10, 7, 3, 3, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 7, 6, 0, 2, 6, 5, 6, 4, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 7, 7, 9, 9, 3, 3, 4, 4, 4, 4, 4, 3, 3, 5, 5, 7, 8, 8, 8, 7, 3, 3, 5, 5, 7, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 3, 3, 6, 7, 6, 9, 8, 9, 7, 10, 7, 6, 8, 9, 7, 10, 7, 3, 3, 6, 7, 6, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 0, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 3, 3, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 1, 2, 9, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 10, 10, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 2, 0, 0, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 1, 4, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 5, 0, 0, 2, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 12, 12, 1, 1, 1, 1, 1, 2, 12, 12, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 13, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 0, 0, 2, 1, 1, 4, 4, 2, 0, 0, 2, 0, 4, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 14, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 3, 1, 3, 4, 4, 0, 2, 1, 0 ]
[ 465, 6436, 203, 1070, 310, 417, 295, 32, 15096, 1188, 48448, 203, 1070, 310, 417, 295, 32, 20934, 32, 4997, 6062, 1188, 4354, 6062, 203, 823, 2244, 22427, 6062, 26, 4997, 6062, 711, 334, 477, 17614, 334, 665, 622, 2710, 26, 6933, 711, 284, 442, 301, 291, 313, 2310, 563, 2884, 6062, 688, 35560, 48448, 15932, 645, 32399, 313, 715, 313, 5566, 26551, 291, 313, 6270, 1212, 4495, 563, 2933, 30, 291, 313, 8075, 563, 301, 324, 313, 2480, 7627, 563, 301, 400, 313, 2310, 563, 313, 1318, 5927, 4523, 6090, 4414, 400, 313, 3419, 2656, 563, 2933, 30, 400, 313, 23327, 563, 313, 6877, 37, 36, 392, 400, 313, 998, 563, 225, 34, 30, 400, 313, 3648, 563, 2933, 30, 400, 313, 297, 2044, 1612, 563, 3177, 30, 400, 313, 1981, 34232, 1208, 563, 3177, 30, 324, 801, 324, 313, 31103, 7627, 563, 301, 400, 313, 2310, 563, 313, 1318, 5927, 22809, 6090, 4414, 400, 313, 3419, 2656, 563, 2933, 30, 400, 313, 23327, 563, 313, 6877, 37, 36, 392, 400, 313, 998, 563, 225, 34, 30, 400, 313, 3648, 563, 2933, 30, 400, 313, 297, 2044, 1612, 563, 3177, 30, 400, 313, 1981, 34232, 1208, 563, 3177, 30, 324, 801, 291, 801, 291, 313, 10931, 563, 301, 324, 313, 1294, 1045, 22427, 7044, 563, 301, 400, 313, 2310, 563, 313, 1318, 5081, 48448, 6793, 4414, 400, 313, 23327, 563, 313, 6877, 37, 36, 392, 400, 313, 998, 563, 225, 35, 30, 400, 313, 3419, 2656, 563, 2933, 30, 400, 313, 297, 2044, 2301, 563, 2933, 30, 324, 801, 291, 801, 291, 313, 5138, 563, 301, 291, 801, 291, 313, 7621, 563, 301, 291, 801, 284, 320, 334, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 284, 630, 32, 5586, 22367, 318, 7627, 280, 6436, 32, 9880, 25619, 9710, 347, 1808, 37, 36, 657, 334, 665, 7379, 26, 784, 30, 7806, 30, 10107, 711, 284, 3097, 334, 665, 7596, 26, 784, 30, 7806, 30, 10107, 711, 284, 4523, 7627, 280, 7806, 1365, 2480, 7627, 6494, 38094, 8532, 34, 79, 284, 5081, 1045, 22427, 7044, 280, 48448, 32, 7924, 6189, 1045, 22427, 7044, 26, 291, 4523, 7627, 30, 630, 32, 5586, 22367, 318, 7627, 27, 284, 630, 32, 5586, 22367, 318, 7627, 280, 7806, 1365, 31103, 7627, 6494, 38094, 8532, 34, 79, 284, 10107, 1365, 1294, 1045, 22427, 7044, 15544, 34, 79, 280, 5081, 1045, 22427, 7044, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 7, 7, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 8, 9, 9, 12, 12, 12, 10, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 11, 11, 14, 14, 14, 12, 11, 11, 11, 14, 14, 12, 14, 14, 14, 14, 11, 11, 14, 14, 12, 13, 11, 11, 11, 14, 14, 12, 11, 11, 11, 14, 14, 14, 14, 12, 11, 11, 11, 14, 14, 14, 14, 12, 11, 11, 11, 9, 9, 12, 12, 12, 10, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 11, 11, 14, 14, 14, 12, 11, 11, 11, 14, 14, 12, 14, 14, 14, 14, 11, 11, 14, 14, 12, 13, 11, 11, 11, 14, 14, 12, 11, 11, 11, 14, 14, 14, 14, 12, 11, 11, 11, 14, 14, 14, 14, 12, 11, 11, 11, 9, 9, 7, 7, 10, 10, 8, 9, 9, 12, 12, 12, 12, 12, 10, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 11, 11, 14, 14, 12, 14, 14, 14, 14, 11, 11, 14, 14, 12, 13, 11, 11, 11, 14, 14, 14, 12, 11, 11, 11, 14, 14, 14, 14, 12, 11, 11, 11, 9, 9, 7, 7, 10, 10, 8, 9, 9, 7, 7, 10, 10, 8, 9, 9, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 8, 9, 8, 8, 9, 11, 11, 11, 11, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 6, 6, 10, 12, 12, 12, 10, 9, 8, 7, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 8, 8, 9, 10, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 10, 12, 12, 12, 10, 9, 8, 7, 4, 4, 8, 10, 10, 10, 10, 10, 8, 7, 6, 6, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 1, 2, 9, 2, 2, 2, 1, 1, 1, 2, 11, 2, 2, 2, 1, 1, 1, 2, 13, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 1, 2, 9, 2, 2, 2, 1, 1, 1, 2, 11, 2, 2, 2, 1, 1, 1, 2, 13, 2, 2, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 1, 1, 2, 7, 2, 2, 2, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 1, 1, 1, 2, 9, 2, 2, 1, 1, 1, 2, 11, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 3, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1216, 2706, 96, 20, 203, 1216, 2884, 22258, 319, 225, 40, 34, 27, 203, 1216, 313, 2033, 498, 927, 9718, 758, 1164, 927, 34218, 9527, 8437, 24393, 20, 203, 1216, 2884, 22258, 319, 225, 40, 34, 27, 203, 1216, 2706, 96, 20, 203, 465, 16539, 203, 465, 4749, 2468, 203, 1070, 7138, 1188, 7138, 203, 465, 6234, 203, 465, 5237, 203, 1070, 767, 81, 11170, 1188, 28, 203, 1299, 81, 3225, 280, 5081, 81, 1131, 440, 6545, 312, 3984, 2965, 328, 390, 41503, 2179, 26, 327, 32, 35, 43, 36, 32, 35, 40, 42, 32, 35, 32, 34, 33, 36, 38, 711, 7788, 203, 1366, 81, 1003, 280, 7138, 32, 2174, 346, 203, 1216, 2884, 22258, 319, 225, 40, 34, 27, 203, 1216, 313, 6574, 4465, 30, 30664, 3984, 392, 3706, 81, 3225, 203, 1216, 2884, 22258, 319, 225, 40, 34, 27, 203, 639, 81, 1299, 280, 4749, 2468, 32, 639, 81, 4573, 26, 1299, 81, 3225, 27, 203, 464, 81, 15934, 280, 1149, 26, 639, 81, 1299, 32, 15934, 1157, 203, 1338, 280, 16539, 32, 7383, 2418, 1589, 346, 203, 1338, 32, 7955, 4629, 6592, 16539, 32, 7383, 56, 81, 4855, 19415, 18362, 203, 1338, 32, 105, 4311, 1669, 280, 16539, 32, 5687, 81, 40491, 203, 979, 595, 328, 2155, 26, 1657, 26, 464, 81, 15934, 8531, 284, 1688, 280, 16539, 32, 45606, 4901, 7075, 370, 6470, 96, 225, 39, 370, 330, 35, 370, 6470, 105, 370, 330, 35, 34, 34, 370, 596, 26, 464, 81, 15934, 77, 91, 1130, 614, 12532, 47, 27958, 32, 18165, 30, 16359, 1338, 47, 1338, 547, 508, 48275, 8532, 34, 79, 284, 415, 313, 11340, 3408, 36878, 20, 328, 1688, 32, 5460, 463, 3310, 31, 42, 7831, 291, 3097, 284, 4348, 313, 1104, 28877, 963, 20, 328, 1688, 32, 5460, 463, 3310, 31, 42, 7831, 291, 3097, 284, 813, 44, 291, 1459, 26, 466, 26, 464, 81, 15934, 77, 91, 1130, 474, 313, 438, 8755, 657, 203, 4048, 81, 1003, 280, 7138, 32, 2174, 346, 203, 2999, 280, 225, 4719, 81, 1003, 429, 1477, 81, 1003, 203, 1216, 330, 2374, 10137, 36012, 328, 44, 5769, 3380, 203, 1216, 2706, 96, 20, 203, 7001, 2059, 264, 280, 5081, 81, 1131, 440, 6545, 8755, 3408, 372, 8971, 44, 7788, 203, 7001, 2059, 2027, 225, 280, 6234, 32, 44239, 649, 1170, 426, 26, 7001, 2059, 27, 203, 426, 280, 6234, 32, 371, 19305, 6161, 26, 7001, 2059, 2027, 27, 203, 1216, 2884, 22258, 319, 225, 40, 34, 27, 203, 1216, 313, 6574, 4465, 30, 30664, 8755, 3408, 392, 225, 636, 203, 1216, 2884, 22258, 319, 225, 40, 34, 27, 203, 102, 35, 280, 7138, 32, 2174, 346, 203, 589, 622, 81, 2122, 26, 625, 711, 275, 202, 625, 280, 596, 26, 625, 27, 1659, 202, 325, 2601, 328, 4942, 81, 11170, 44, 4512, 202, 601, 4942, 81, 11170, 77, 625, 79, 1659, 202, 1824, 44, 357, 202, 601, 8665, 81, 11170, 225, 203, 1270, 44, 284, 436, 2601, 328, 2155, 26, 35, 30, 35, 34, 36, 39, 711, 16189, 13363, 280, 6234, 32, 4817, 26, 4817, 32, 5995 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 2, 6, 4, 4, 5, 5, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 2, 6, 4, 4, 5, 5, 3, 0, 1, 1, 4, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 0, 3, 2, 6, 4, 4, 5, 5, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 2, 2, 0, 3, 2, 6, 4, 4, 5, 5, 3, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 7, 7, 7, 6, 7, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 4, 3, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 0, 4, 3, 4, 4, 4, 2, 2, 3, 4, 4, 4, 0, 1, 1, 1, 1, 3, 5, 5, 6, 6, 6, 5, 1, 1, 4, 4, 9, 10, 9, 12, 12, 10, 12, 12, 12, 12, 10, 12, 12, 10, 12, 12, 10, 12, 12, 12, 12, 10, 12, 14, 14, 14, 13, 14, 13, 10, 9, 10, 12, 11, 12, 9, 9, 11, 10, 11, 9, 8, 8, 7, 6, 5, 2, 2, 3, 6, 6, 6, 6, 4, 4, 6, 7, 6, 8, 8, 8, 8, 3, 3, 3, 3, 4, 7, 7, 7, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 4, 4, 3, 3, 4, 4, 4, 8, 11, 11, 13, 13, 13, 12, 13, 12, 9, 9, 11, 11, 11, 0, 3, 3, 3, 2, 2, 4, 5, 4, 0, 3, 2, 2, 2, 4, 4, 3, 3, 4, 4, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 4, 3, 0, 3, 3, 2, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 2, 4, 5, 5, 5, 5, 4, 5, 5, 4, 0, 3, 2, 2, 4, 5, 5, 5, 4, 5, 5, 5, 4, 0, 3, 2, 6, 4, 4, 5, 5, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 3, 2, 6, 4, 4, 5, 5, 3, 0, 3, 3, 2, 2, 4, 5, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 6, 0, 0, 1, 1, 2, 2, 3, 3, 1, 1, 1, 3, 3, 5, 5, 4, 5, 4, 1, 1, 2, 2, 2, 2, 4, 4, 5, 5, 0, 0, 1, 1, 1, 1, 3, 3, 3, 5, 6, 5, 6, 6, 6, 6, 5, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10 ]
[ 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 4, 4, 0, 2, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 0, 10, 3, 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, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 14, 14, 1, 1, 1, 1, 1, 2, 14, 3, 3, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 21, 21, 21, 21, 1, 0, 1, 1, 1, 1, 1, 21, 21, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 3, 0, 2, 2, 1, 1, 0, 5, 2, 1, 2, 2, 1, 2, 2, 5, 5, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 5, 5, 5, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 24, 24, 1, 1, 1, 1, 1, 1, 24, 0, 25, 25, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 30, 30, 1, 1, 1, 1, 1, 1, 2, 30, 30, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 33, 33, 1, 1, 2, 1, 2, 33, 33, 0, 0, 0, 1, 1, 1, 0, 0, 34, 34, 1, 1, 2, 2, 34, 34, 34, 0, 0, 0, 0, 1, 2, 1, 34, 34, 4, 4, 4, 4, 0, 0, 1, 1, 0, 0, 35, 35, 35, 35, 0, 0, 0, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 296, 31501, 203, 465, 296, 31501, 32, 10514, 203, 1070, 296, 31501, 1188, 3124, 1216, 30, 617, 203, 1070, 296, 31501, 32, 1160, 32, 36677, 1188, 1930, 81, 4846, 267, 321, 203, 1070, 5097, 98, 1978, 32, 16064, 32, 2468, 81, 363, 81, 5546, 1188, 2454, 81, 2468, 81, 363, 81, 5546, 203, 1070, 5097, 98, 1978, 32, 16064, 32, 6554, 81, 1439, 1188, 11725, 1761, 203, 1070, 5097, 98, 1978, 32, 12892, 32, 9744, 1188, 6042, 81, 9744, 81, 12892, 203, 823, 34591, 26, 4316, 1761, 711, 203, 202, 589, 622, 81, 6528, 26, 784, 711, 357, 202, 601, 630, 32, 21061, 81, 426, 203, 202, 589, 544, 944, 26, 784, 711, 357, 202, 944, 81, 2468, 81, 363, 81, 5546, 26, 784, 30, 313, 21061, 657, 203, 202, 589, 7120, 267, 321, 26, 784, 711, 357, 202, 22034, 81, 2590, 81, 426, 280, 296, 31501, 32, 10514, 32, 371, 81, 3264, 81, 1536, 463, 22034, 81, 2590, 81, 426, 683, 357, 202, 325, 11066, 81, 2590, 81, 426, 610, 330, 17612, 3270, 950, 355, 202, 784, 32, 426, 280, 630, 32, 21061, 81, 426, 357, 202, 1824, 44, 355, 202, 784, 32, 426, 280, 1930, 81, 4846, 267, 321, 26, 784, 32, 36677, 81, 8442, 474, 5608, 8648, 683, 203, 202, 589, 1974, 81, 2468, 26, 784, 711, 357, 202, 48020, 32, 1199, 32, 2602, 27265, 1877, 529, 3007, 2438, 82, 739, 28156, 81, 426, 6132, 101, 30, 8844, 47, 30130, 346, 355, 202, 2767, 28156, 6132, 101, 37616, 308, 784, 32, 21061, 81, 426, 30, 630, 32, 426, 490, 203, 202, 589, 1974, 81, 5546, 26, 784, 711, 357, 202, 48020, 32, 1199, 32, 2602, 27265, 1877, 529, 3007, 5870, 82, 739, 28156, 81, 426, 6132, 101, 30, 8844, 47, 30130, 346, 355, 202, 2767, 28156, 6132, 101, 37616, 308, 784, 32, 21061, 81, 426, 30, 630, 32, 426, 490, 203, 202, 589, 544, 81, 1877, 26, 784, 711, 357, 202, 325, 646, 630, 32, 36677, 81, 8442, 44, 355, 202, 784, 32, 36677, 81, 8442, 280, 4247, 357, 202, 784, 32, 1877, 81, 2468, 346, 357, 202, 784, 32, 1877, 81, 5546, 346, 203, 202, 589, 6042, 26, 784, 711, 357, 202, 325, 296, 31501, 32, 10514, 32, 371, 81, 3264, 81, 1536, 463, 22034, 81, 2590, 81, 426, 683, 610, 330, 29465, 20886, 950, 355, 202, 325, 646, 630, 32, 36677, 81, 8442, 44, 603, 202, 2076, 1216, 41648, 9273, 438, 22998, 2113, 3636, 81, 3893, 47, 35, 27, 357, 202, 4635, 81, 9744, 81, 12892, 26, 784, 27, 203, 202, 589, 622, 81, 19119, 26, 784, 30, 14276, 711, 357, 202, 325, 29851, 44, 355, 202, 5546, 81, 3958, 280, 48020, 32, 1199, 32, 5954, 81, 452, 81, 7047, 26, 48020, 32, 1199, 32, 2602, 440, 1613, 636, 30, 45279, 26, 2952, 3293, 26, 2232, 81, 426, 1947, 47710, 5769, 2952, 3293, 26, 2135, 81, 426, 1947, 13356, 5546, 81, 1347, 30, 1935, 81, 314, 645, 529, 3007, 5870, 82, 2154, 28156, 280, 904, 101, 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, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 6, 7, 7, 7, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 9, 9, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 6, 6, 10, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 7, 7, 7, 7, 6, 6, 8, 8, 8, 5, 5, 10, 9, 10, 8, 8, 9, 10, 10, 10, 5, 5, 6, 6, 6, 6, 11, 10, 11, 9, 9, 11, 11, 11, 11, 11, 14, 13, 14, 14, 14, 12, 12, 14, 14, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 9, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 9, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 6, 7, 8, 8, 8, 5, 5, 5, 10, 9, 10, 10, 10, 8, 8, 4, 4, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 2, 2, 3, 3, 4, 5, 4, 3, 3, 5, 5, 10, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 8, 5, 5, 7, 7, 8, 9, 10, 10, 10, 7, 7, 7, 11, 11, 11, 15, 15, 15, 15, 11, 13, 13, 12, 13, 11, 4, 4, 7, 7, 7, 7, 7, 7, 8, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 5, 4, 3, 3, 5, 5, 5, 5, 5, 9, 9, 9, 8, 12, 11, 12, 10, 11, 11, 11, 11, 11, 10, 14, 13, 14, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 8, 8, 2, 1, 1, 2, 8, 8, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 4, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 3, 3, 3, 2, 3, 4, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 3, 3, 3, 2, 3, 4, 4, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 6, 6, 2, 1, 2, 6, 6, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 7, 7, 1, 1, 2, 1, 2, 3, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 15798, 203, 465, 2322, 203, 465, 22977, 203, 1070, 345, 5190, 2333, 16219, 318, 10937, 1188, 4000, 16219, 318, 10937, 619, 322, 21315, 203, 465, 345, 5190, 2333, 16219, 318, 10937, 203, 465, 5237, 203, 1070, 345, 5190, 13395, 1188, 2866, 750, 22955, 30, 1491, 750, 20220, 203, 465, 9226, 203, 823, 488, 5190, 1006, 26, 18986, 32, 7233, 711, 284, 665, 22167, 1432, 3211, 26, 784, 711, 291, 415, 2322, 32, 983, 32, 34103, 26, 784, 32, 1977, 2976, 711, 324, 22977, 32, 100, 41718, 26, 784, 32, 1977, 2976, 30, 5079, 81, 4275, 280, 2933, 27, 284, 665, 739, 1432, 1386, 26, 784, 711, 291, 630, 32, 496, 81, 2833, 280, 2430, 3699, 33, 25830, 5681, 291, 894, 10937, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 33115, 1026, 24484, 10855, 81, 657, 291, 630, 32, 3732, 280, 322, 21315, 346, 291, 630, 32, 1977, 2976, 280, 630, 32, 3732, 32, 371, 14350, 2922, 2976, 346, 291, 630, 32, 18138, 280, 630, 32, 3732, 32, 38044, 4399, 2976, 346, 291, 630, 32, 1455, 10937, 2976, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 18138, 30, 313, 25830, 10937, 657, 4456, 630, 32, 2284, 750, 280, 5053, 34232, 69, 917, 2731, 950, 225, 36, 34, 34, 30, 225, 5556, 330, 5728, 2275, 950, 330, 20188, 370, 225, 5556, 330, 2848, 3839, 950, 3813, 103, 25, 1055, 81, 272, 370, 5608, 1286, 370, 1044, 25, 1006, 32, 25830, 3196, 370, 225, 34, 30, 330, 2700, 2188, 11244, 428, 103, 25, 5172, 31, 4792, 370, 5608, 754, 370, 1044, 25, 1006, 32, 25830, 3196, 370, 225, 34, 30, 330, 2700, 2188, 10631, 428, 103, 25, 5172, 31, 8631, 370, 5608, 754, 370, 1044, 25, 1006, 32, 25830, 3196, 370, 225, 43, 41, 30, 330, 1815, 24990, 715, 330, 11128, 10937, 950, 428, 103, 18010, 3699, 33, 25830, 33, 13025, 33, 1006, 32, 25830, 3196, 2188, 656, 330, 2731, 950, 9226, 32, 1943, 26, 35, 36, 34, 30, 225, 37, 40, 471, 330, 1250, 950, 9226, 32, 1250, 26, 35, 36, 34, 34, 30, 225, 41, 43, 40, 4370, 291, 415, 2322, 32, 983, 32, 34103, 26, 784, 32, 18138, 711, 324, 22977, 32, 100, 41718, 26, 784, 32, 18138, 30, 5079, 81, 4275, 280, 2933, 27, 291, 22977, 32, 2991, 3242, 26, 858, 10937, 30, 630, 32, 1455, 10937, 2976, 27, 291, 2866, 750, 22955, 26, 784, 32, 2284, 750, 30, 2322, 32, 983, 32, 2524, 26, 784, 32, 18138, 30, 2296, 25830, 2284, 2963, 2131, 284, 665, 894, 81, 11640, 5405, 2922, 2976, 26, 784, 711, 291, 630, 32, 470, 1432, 1386, 346, 291, 630, 32, 6549, 26, 784, 32, 1977, 2976, 32, 20643, 26, 25830, 2333, 16219, 318, 10937, 32, 9682, 81, 2474, 471, 313, 2922, 4921, 739, 3809, 657, 291, 630, 32, 519, 282, 1432, 3211, 346, 284, 665, 894, 81, 325, 2023, 18879, 10937, 2976, 383, 16219, 2555, 17990, 26, 784, 711, 291, 630, 32, 470, 1432, 1386, 346, 291, 415, 2322, 32, 983, 32, 34103, 26, 784, 32, 1455, 10937, 2976, 711, 324, 22977, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 4, 4, 4, 2, 2, 3, 0, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 8, 9, 9, 7, 5, 5, 9, 10, 10, 9, 11, 10, 11, 11, 9, 9, 11, 11, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 11, 10, 11, 10, 10, 10, 10, 10, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 8, 8, 10, 10, 10, 4, 4, 7, 8, 8, 6, 6, 10, 10, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 7, 10, 10, 10, 8, 10, 10, 7, 7, 7, 10, 10, 10, 8, 12, 12, 12, 12, 12, 12, 10, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 11, 10, 10, 12, 12, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 11, 10, 10, 12, 12, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 11, 11, 10, 10, 12, 12, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 10, 10, 8, 10, 11, 10, 11, 11, 11, 10, 10, 11, 11, 10, 7, 10, 10, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 11, 11, 10, 4, 4, 5, 8, 9, 7, 8, 7, 9, 8, 9, 7, 5, 5, 9, 10, 10, 9, 11, 10, 11, 9, 9, 11, 11, 10, 10, 9, 4, 4, 7, 8, 8, 7, 8, 8, 7, 7, 8, 9, 9, 9, 7, 4, 4, 7, 7, 7, 9, 8, 9, 9, 7, 7, 10, 11, 9, 10, 9, 11, 10, 11, 9, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 11, 9, 10, 9, 11, 11, 11, 11, 11, 10, 11, 11, 11, 9, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 5, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 5, 5, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 2, 0, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 8, 8, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 3, 3, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 1, 1, 2, 5, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 7, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 3, 1, 2, 3, 0, 1, 1, 1, 1, 2, 3, 7, 3, 3, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 5, 1, 2, 5, 0, 1, 1, 1, 1, 2, 5, 7, 7, 5, 5, 1, 2, 2, 2, 1, 1, 2, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1, 2, 11, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 7, 0, 2, 0, 2, 1, 0, 1, 2, 1, 7, 7, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 3, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 1, 4, 4, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0 ]
[ 465, 2322, 203, 1070, 13625, 1188, 33953, 203, 1070, 22977, 1188, 1933, 761, 203, 465, 6436, 619, 2065, 203, 465, 1133, 203, 1070, 2678, 491, 107, 1188, 10701, 2852, 203, 1070, 638, 1188, 1244, 81, 1163, 81, 1515, 30, 1256, 81, 1163, 81, 1515, 203, 1070, 638, 978, 100, 557, 81, 2304, 1188, 1133, 203, 465, 5741, 203, 4073, 280, 5741, 32, 10579, 26, 426, 47, 505, 426, 8223, 203, 823, 36187, 5126, 924, 26, 41358, 711, 284, 3097, 203, 1270, 44, 284, 3636, 10065, 1188, 17090, 11605, 32, 6045, 284, 17090, 11605, 32, 6045, 32, 10238, 16921, 15434, 265, 32, 669, 81, 4315, 575, 1403, 26, 2356, 32, 1808, 40, 38, 30, 400, 9254, 10128, 265, 30, 706, 44, 10128, 265, 32, 27877, 81, 1808, 26, 1808, 26, 605, 2610, 284, 17090, 11605, 32, 6045, 32, 10238, 16921, 15434, 265, 32, 669, 81, 4315, 575, 1403, 26, 11476, 30, 400, 9254, 10128, 265, 30, 706, 44, 10128, 265, 32, 27877, 81, 466, 26, 466, 26, 605, 2610, 284, 17090, 11605, 32, 6045, 32, 10238, 16921, 15434, 265, 32, 669, 81, 4315, 575, 1403, 26, 2356, 32, 11476, 35, 36, 42, 30, 400, 9254, 10128, 265, 30, 706, 44, 10128, 265, 32, 27877, 81, 466, 26, 466, 26, 605, 2610, 284, 17090, 11605, 32, 6045, 32, 10238, 16921, 15434, 265, 32, 669, 81, 4315, 575, 1403, 26, 2356, 32, 16771, 30, 400, 9254, 10128, 265, 30, 706, 44, 10128, 265, 32, 27877, 81, 668, 26, 668, 26, 605, 2610, 284, 665, 2454, 26, 88, 711, 291, 442, 17090, 11605, 32, 6045, 32, 944, 26, 88, 30, 17090, 11605, 32, 6045, 32, 10238, 16921, 4888, 27, 284, 665, 4131, 26, 605, 30, 3443, 47, 2521, 711, 291, 442, 17090, 11605, 32, 6045, 32, 5937, 26, 605, 30, 3443, 47, 2238, 30, 1378, 16844, 265, 47, 2947, 11605, 32, 6045, 32, 10238, 16921, 15434, 265, 30, 1378, 1244, 81, 1867, 81, 1621, 47, 2700, 27, 203, 7343, 44, 284, 4082, 32, 2811, 440, 2947, 11605, 32, 6045, 3065, 646, 526, 18253, 32, 9606, 14465, 4174, 32, 313, 353, 313, 12504, 328, 1359, 2276, 1098, 526, 15058, 7144, 284, 1188, 14465, 284, 665, 2454, 26, 2238, 30, 12395, 47, 6045, 32, 11691, 4888, 30, 1300, 81, 16564, 81, 7133, 47, 20663, 7167, 711, 291, 443, 24603, 4888, 26, 4888, 711, 324, 3097, 291, 665, 8520, 81, 9387, 26, 4554, 30, 1541, 711, 324, 11522, 32, 15478, 81, 9387, 26, 1251, 27, 324, 442, 1300, 81, 16564, 81, 7133, 26, 4554, 32, 6309, 81, 16564, 26, 1251, 490, 291, 24603, 4888, 32, 669, 81, 9430, 26, 324, 14465, 32, 15678, 32, 1761, 7256, 32, 5807, 81, 42061, 81, 6540, 30, 324, 8520, 81, 9387, 27, 291, 442, 14465, 32, 944, 26, 2238, 30, 24603, 4888, 27, 284, 665, 4131, 26, 605, 30, 3443, 47, 2521, 30, 16844, 265, 47, 6045, 32, 11691, 15434, 265, 30, 1802, 1244, 81, 1867, 81, 1621, 47, 2700, 30, 1802, 7328, 1057, 3310, 31, 42, 370, 1802, 1115, 38103, 711, 291, 443, 24603, 15434, 265, 26, 15434, 265, 711, 324, 3097 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 5, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 5, 4, 5, 2, 2, 8, 7, 8, 6, 7, 7, 7, 7, 5, 6, 6, 6, 6, 6, 5, 7, 6, 7, 7, 7, 5, 5, 5, 6, 8, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 11, 10, 2, 2, 8, 7, 8, 6, 7, 7, 7, 7, 5, 6, 6, 6, 6, 6, 5, 6, 5, 5, 5, 6, 8, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 11, 10, 2, 2, 8, 7, 8, 6, 7, 7, 7, 7, 5, 6, 6, 6, 6, 6, 5, 7, 6, 7, 7, 7, 7, 5, 5, 5, 6, 8, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 11, 10, 2, 2, 8, 7, 8, 6, 7, 7, 7, 7, 5, 6, 6, 6, 6, 6, 5, 7, 6, 7, 5, 5, 5, 6, 8, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 11, 10, 2, 2, 3, 4, 5, 4, 3, 3, 5, 9, 8, 9, 7, 8, 7, 8, 7, 7, 10, 9, 10, 8, 9, 9, 9, 7, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 9, 8, 9, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 7, 9, 8, 11, 11, 10, 11, 9, 10, 10, 10, 10, 7, 7, 7, 9, 9, 9, 9, 8, 9, 7, 1, 2, 2, 2, 2, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 3, 3, 4, 5, 6, 5, 5, 6, 8, 7, 8, 8, 5, 5, 7, 7, 7, 7, 6, 7, 7, 5, 4, 4, 6, 7, 7, 8, 7, 6, 6, 5, 5, 6, 7, 7, 7, 8, 7, 7, 7, 6, 6, 10, 11, 11, 11, 10, 11, 10, 7, 7, 8, 10, 10, 10, 10, 10, 13, 12, 13, 13, 13, 12, 13, 12, 5, 5, 9, 8, 9, 9, 9, 8, 8, 8, 11, 12, 10, 11, 11, 9, 10, 10, 10, 10, 10, 8, 8, 8, 9, 9, 8, 5, 5, 6, 8, 9, 8, 9, 8, 8, 9, 8, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 5, 7, 6, 8, 7, 8, 8, 8, 5, 5, 5, 7, 7, 7, 7, 6, 7, 5, 5, 5, 6, 8, 8, 8, 8, 5, 5, 7, 5, 4, 4, 6, 7, 7, 7, 8, 8, 7, 6, 6 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 1, 1, 0, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 8, 8, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 11, 11, 11, 11, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 0, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 3, 0, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 0, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 6, 2, 1, 2, 6, 6, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 3, 2, 2, 2, 1, 2, 2, 7, 2, 1, 2, 2, 3, 2, 2, 7, 7, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 5, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 7, 2, 1, 11, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 3, 1, 2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 0, 5, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 7, 2, 2, 2, 2, 9, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 0, 1, 1, 2, 1, 1, 2, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 2919, 2208, 1188, 3659, 2825, 203, 1070, 485, 491, 81, 104, 36, 81, 1262, 32, 16064, 32, 5983, 81, 3922, 1188, 3185, 18164, 203, 1070, 4942, 101, 32, 1436, 81, 4531, 1188, 4578, 1972, 203, 1070, 4942, 101, 32, 19981, 1188, 1474, 81, 3926, 203, 505, 464, 505, 280, 1605, 203, 505, 1648, 505, 280, 225, 34, 32, 35, 203, 57, 2328, 81, 3624, 280, 225, 36, 35, 36, 37, 203, 5807, 81, 8037, 81, 25990, 280, 225, 36, 34, 203, 5807, 81, 36293, 4804, 280, 225, 35, 203, 2897, 280, 225, 34, 203, 589, 2575, 26, 6118, 47, 2521, 711, 284, 5881, 2019, 1628, 2075, 48256, 284, 3460, 81, 426, 280, 2322, 32, 983, 32, 15705, 26, 3731, 32, 6118, 77, 34, 1130, 284, 3460, 81, 1648, 280, 313, 104, 34, 32, 35, 20, 284, 3460, 81, 1648, 81, 800, 280, 330, 1784, 15446, 904, 101, 25, 904, 308, 5784, 81, 1648, 27, 284, 3460, 81, 2077, 280, 313, 10581, 225, 36, 34, 35, 41, 47288, 24363, 343, 25, 51, 2274, 44416, 78, 400, 4762, 1531, 322, 3940, 1177, 225, 36, 32, 34, 78, 400, 310, 525, 555, 1499, 32, 2104, 32, 1088, 33, 4188, 33, 4092, 31, 36, 32, 34, 20, 284, 415, 6184, 438, 1665, 44, 291, 6184, 280, 5237, 32, 6118, 77, 35, 10056, 284, 20265, 96, 280, 1665, 284, 1596, 44, 291, 4118, 280, 3659, 2825, 26, 1648, 47, 5784, 81, 1648, 81, 800, 30, 3048, 47, 5784, 81, 2077, 27, 291, 4118, 32, 669, 81, 1762, 10359, 104, 392, 7915, 10529, 392, 3466, 347, 10529, 392, 2125, 347, 998, 392, 3049, 347, 470, 39451, 3193, 428, 1536, 44, 904, 1536, 25790, 291, 4118, 32, 669, 81, 1762, 10359, 85, 392, 7915, 1163, 392, 3466, 347, 1163, 81, 761, 392, 3049, 347, 1382, 3488, 803, 657, 291, 4118, 32, 669, 81, 1762, 10359, 100, 392, 7915, 7001, 81, 1299, 392, 3466, 347, 7001, 81, 1299, 392, 225, 3775, 3049, 347, 7001, 3984, 484, 32, 89, 32, 225, 35, 34, 32, 34, 32, 34, 32, 34, 33, 36, 38, 30, 225, 35, 34, 32, 34, 32, 34, 32, 35, 33, 37, 36, 657, 4456, 4118, 32, 669, 81, 1762, 10359, 94, 392, 7915, 668, 10876, 392, 3466, 280, 313, 668, 10876, 81, 2816, 392, 225, 3775, 2125, 280, 313, 998, 392, 3049, 280, 313, 1366, 2329, 312, 570, 2328, 81, 53, 7503, 657, 29852, 4118, 32, 470, 81, 10514, 26, 668, 10876, 81, 2816, 47, 2700, 30, 1014, 1359, 81, 761, 5062, 1163, 33, 15679, 661, 2555, 69, 32, 38429, 392, 23285, 9541, 280, 3177, 27, 291, 308, 6363, 30, 2181, 27, 280, 4118, 32, 2208, 81, 1132, 26, 6118, 27, 291, 438, 81, 10529, 280, 3177, 291, 20498, 81, 2816, 280, 6410, 32, 668, 10876, 81, 2816, 291, 3124, 81, 11044, 280, 4040, 81, 36293, 4804, 291, 6562, 81, 1299, 280, 6410, 32, 7001, 81, 1299, 291, 9368, 81, 1003, 280, 4040, 81, 36293, 4804, 291, 415, 20498, 81, 2816, 461, 225, 6562, 81, 1299, 610, 1665, 44, 324, 1459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 9, 8, 9, 7, 8, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 7, 9, 8, 2, 2, 5, 4, 4, 2, 2, 3, 3, 3, 6, 6, 8, 8, 10, 9, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 7, 8, 10, 10, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 7, 8, 10, 10, 10, 10, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 9, 7, 8, 8, 10, 10, 10, 10, 10, 7, 7, 7, 8, 8, 10, 10, 7, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 8, 9, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 8, 7, 4, 4, 8, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 7, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 7, 7, 6, 6, 7, 7, 7, 4, 4, 5, 7, 7, 6, 6, 6, 8, 8, 7, 7, 5, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 4, 4, 0, 1, 2, 2, 2, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 12, 12, 2, 0, 1, 2, 2, 12, 12, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 5, 5, 5, 0, 0, 0, 2, 2, 0, 2, 4, 4, 0, 0, 0, 4, 4, 7, 7, 7, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 2, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 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, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 2, 1, 1, 1, 7, 7, 1, 2, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 12, 0, 0, 1, 1, 1, 0, 0, 2, 2, 12, 12, 12 ]
[ 465, 316, 203, 465, 26313, 203, 465, 1133, 203, 1070, 7138, 1188, 7138, 203, 465, 3619, 10185, 203, 465, 5741, 203, 7490, 280, 5741, 32, 10579, 463, 48189, 17194, 683, 203, 823, 29439, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 28893, 30, 47149, 30, 22158, 711, 291, 630, 32, 4410, 280, 28893, 291, 630, 32, 38364, 280, 47149, 291, 1596, 44, 324, 630, 32, 1772, 18218, 280, 3619, 10185, 32, 18218, 26, 18218, 27, 291, 2940, 3268, 44, 324, 5741, 32, 3893, 440, 4445, 1330, 2290, 322, 3809, 22158, 657, 324, 630, 32, 1772, 18218, 280, 3619, 10185, 32, 16700, 291, 630, 32, 1877, 2284, 280, 9254, 1115, 1132, 44, 225, 34, 291, 630, 32, 3248, 280, 225, 35, 34, 291, 630, 32, 751, 2516, 280, 330, 464, 25, 284, 665, 739, 3296, 2333, 2284, 26, 784, 30, 3309, 711, 291, 630, 32, 1877, 2284, 280, 3309, 284, 665, 739, 1335, 11783, 26, 784, 30, 2723, 30, 1245, 2516, 711, 291, 630, 32, 3248, 280, 2723, 291, 630, 32, 751, 2516, 280, 1245, 2516, 284, 665, 2866, 1335, 26, 784, 30, 1245, 620, 30, 1474, 711, 291, 1672, 1043, 1335, 280, 7138, 32, 2174, 26, 10185, 47, 784, 32, 1772, 18218, 27, 291, 1672, 1043, 1335, 280, 1672, 1043, 1335, 32, 20834, 4912, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 657, 291, 1245, 2076, 280, 330, 1371, 34, 1748, 7316, 35, 10589, 301, 36, 4104, 96, 2473, 1643, 26, 751, 620, 30, 1672, 1043, 1335, 30, 1474, 27, 291, 623, 2156, 26, 784, 32, 38364, 30, 313, 83, 657, 619, 1672, 761, 44, 324, 1672, 761, 32, 1821, 26, 751, 2076, 27, 291, 630, 32, 1877, 2284, 463, 37737, 1335, 370, 630, 32, 18742, 11849, 1335, 26, 324, 630, 32, 3248, 30, 2192, 2424, 47, 784, 32, 751, 2516, 490, 284, 665, 1477, 13990, 3021, 26, 784, 30, 5430, 47, 35, 34, 34, 34, 711, 291, 3664, 13990, 33402, 280, 26313, 32, 3021, 26, 324, 1760, 47, 784, 32, 5464, 33402, 30, 324, 2181, 6020, 4446, 79, 291, 829, 291, 3664, 13990, 33402, 32, 19186, 280, 2933, 291, 3664, 13990, 33402, 32, 1366, 346, 284, 665, 617, 5954, 81, 32888, 26, 784, 30, 7459, 711, 291, 6935, 30, 6791, 280, 7459, 32, 6124, 30, 7459, 32, 6360, 291, 11632, 280, 6935, 319, 225, 36, 38, 474, 6791, 434, 225, 37, 40, 34, 34, 291, 10135, 280, 308, 6360, 904, 225, 37, 40, 34, 34, 27, 434, 225, 40, 34, 291, 6791, 280, 308, 6360, 904, 225, 40, 34, 27, 291, 5839, 17266, 280, 3330, 291, 415, 6935, 848, 225, 34, 44, 324, 5839, 17266, 280, 10698, 6124, 111, 6935, 30, 301, 14991, 111, 12021, 30, 301, 18461, 111, 1847, 30, 301, 6360, 111, 8382, 20, 291, 4348, 11632, 848, 225, 34, 44, 324, 5839, 17266, 280, 10698, 14991, 111, 12021, 30, 301, 18461, 111, 1847, 30, 301, 6360, 111, 8382, 20, 291, 4348, 10135, 848, 225, 34, 44, 324, 5839, 17266, 280, 10698, 18461, 111, 1847, 30, 301, 6360, 111, 8382, 20, 291, 813, 44, 324, 5839 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 0, 1, 1, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 5, 5, 5, 9, 10, 10, 8, 8, 11, 10, 11, 10, 11, 10, 5, 5, 6, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 7, 7, 10, 11, 11, 9, 9, 11, 10, 11, 4, 4, 7, 8, 8, 6, 6, 7, 10, 7, 7, 8, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 10, 9, 11, 10, 11, 11, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 9, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 4, 4, 5, 10, 12, 11, 12, 10, 10, 12, 12, 8, 8, 10, 5, 5, 5, 10, 9, 10, 9, 10, 10, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 7, 9, 10, 10, 10, 9, 9, 9, 10, 11, 9, 9, 11, 10, 12, 11, 12, 12, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 6, 6, 6, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 8, 8, 9, 11, 10, 11, 11, 8, 8, 8, 9, 11, 10, 8, 8, 4, 4, 8, 8, 7, 8, 6, 6, 4, 4, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 7, 7, 8, 9, 4, 4, 6, 6, 8, 8, 9, 9, 7, 7, 8, 8, 9, 9, 9, 9, 4, 4, 6, 6, 10, 9, 9, 10, 10, 10, 10, 8, 7, 7, 8, 8, 4, 4, 6, 6, 9, 8, 8, 9, 9, 7, 4, 4, 7, 6, 6, 4, 4, 5, 6, 6, 7, 5, 5, 5, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 7, 7, 8, 6, 6, 6, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 7, 7, 8, 6, 6, 6, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 7, 7, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 1, 2, 2, 3, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 3, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 3, 0, 2, 2, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 3, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 4, 4, 5, 1, 1, 2, 5, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 4, 1, 1, 2, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 5, 1, 1, 2, 5, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 6, 6, 6 ]
[ 465, 5741, 203, 465, 1133, 203, 1070, 18971, 1188, 1326, 203, 1070, 18971, 81, 4738, 2790, 1188, 6287, 203, 1070, 11626, 24355, 4568, 1188, 40075, 30, 2364, 81, 944, 30, 28896, 81, 3968, 203, 1070, 11626, 24355, 4568, 81, 1260, 1237, 1188, 9042, 30, 3829, 203, 1070, 1133, 4640, 32, 4640, 32, 1160, 1188, 308, 8867, 30, 16736, 30, 438, 81, 11148, 81, 1003, 30, 9474, 438, 81, 9535, 81, 1003, 27, 203, 823, 9282, 1972, 26, 7490, 32, 1972, 711, 284, 665, 9533, 26, 784, 30, 3627, 711, 291, 3097, 203, 7490, 32, 10579, 4064, 426, 25566, 669, 1972, 26, 1883, 1972, 1157, 203, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 1995, 924, 26, 984, 711, 284, 3097, 203, 589, 27441, 265, 518, 26, 878, 711, 284, 442, 1344, 32, 3227, 14728, 370, 40317, 203, 823, 16736, 3694, 26, 3694, 711, 284, 804, 280, 3829, 32, 652, 26, 5937, 81, 2585, 47, 1815, 27, 284, 1477, 81, 1003, 280, 3829, 32, 652, 26, 3648, 47, 1815, 27, 284, 1477, 81, 3585, 280, 3829, 32, 652, 26, 3648, 47, 1815, 27, 284, 943, 81, 1003, 280, 3829, 32, 652, 26, 3648, 47, 1815, 27, 284, 943, 81, 3585, 280, 3829, 32, 652, 26, 3648, 47, 1815, 27, 284, 9565, 280, 3829, 32, 13175, 26, 291, 5886, 81, 965, 20183, 1237, 33, 33983, 5263, 7173, 81, 314, 10047, 291, 5886, 81, 965, 81, 5321, 12516, 7173, 81, 314, 950, 4145, 7173, 6457, 835, 291, 5075, 47, 2700, 30, 2305, 81, 605, 47, 1815, 30, 291, 827, 81, 1057, 33983, 25, 284, 829, 284, 477, 1526, 81, 944, 284, 665, 1930, 81, 7508, 26, 784, 30, 706, 711, 291, 442, 16736, 14605, 605, 27, 284, 665, 2887, 81, 731, 26, 784, 30, 13489, 30, 706, 711, 291, 3636, 40075, 26, 324, 330, 1045, 1048, 12330, 623, 1509, 44, 301, 34, 111, 766, 96, 301, 35, 16805, 1643, 26, 605, 30, 13489, 32, 6286, 490, 284, 665, 1156, 466, 3207, 784, 711, 291, 415, 630, 32, 7173, 438, 1665, 44, 324, 442, 3778, 5897, 44, 4793, 313, 474, 630, 32, 1366, 81, 1003, 474, 313, 4720, 313, 474, 78, 400, 630, 32, 416, 81, 1003, 474, 313, 19620, 4909, 5844, 291, 813, 44, 324, 442, 3778, 5897, 44, 4793, 313, 474, 630, 32, 1366, 81, 1003, 474, 313, 4720, 313, 474, 78, 400, 630, 32, 416, 81, 1003, 474, 313, 19620, 313, 474, 596, 26, 784, 32, 7173, 27, 474, 313, 5844, 284, 443, 11985, 44, 291, 827, 81, 280, 330, 23859, 25, 291, 6523, 280, 2933, 203, 823, 19620, 3694, 26, 3694, 711, 284, 804, 280, 3829, 32, 2007, 26, 5937, 81, 2585, 47, 1815, 27, 284, 1451, 280, 3829, 32, 3061, 26, 3648, 47, 1815, 27, 284, 636, 280, 3829, 32, 652, 26, 4890, 1057, 426, 683, 284, 1603, 280, 3829, 32, 3061, 346, 284, 17211, 280, 3829, 32, 13175, 26, 291, 5886, 81, 965, 20183, 1237, 33, 33983, 5263, 7173, 81, 314, 3188, 23859, 370, 291, 5886, 81, 965, 81, 5321, 12516, 7173, 81, 314, 950, 4145, 314, 6457 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 0, 6, 5, 6, 5, 6, 6, 4, 4, 3, 5, 5, 5, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 7, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 7, 11, 11, 11, 11, 9, 11, 11, 8, 6, 6, 7, 8, 6, 6, 8, 8, 7, 8, 6, 6, 6, 8, 7, 9, 9, 6, 6, 2, 2, 5, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 8, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11, 10, 9, 10, 9, 9, 10, 11, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 10, 10, 12, 12, 9, 10, 10, 9, 10, 11, 11, 11, 8, 8, 10, 10, 10, 5, 5, 6, 6, 6, 8, 16, 16, 16, 16, 14, 14, 15, 16, 16, 16, 13, 13, 15, 15, 12, 13, 13, 12, 13, 14, 14, 14, 11, 11, 13, 13, 10, 10, 12, 14, 13, 14, 12, 9, 9, 11, 2, 2, 3, 3, 3, 3, 7, 6, 6, 8, 8, 4, 4, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 7, 11, 11, 11, 11, 9, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 7, 7, 1, 2, 0, 1, 2, 2, 7, 7, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 2, 1, 2, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 2, 1, 1, 1, 0, 9, 1, 2, 1, 1, 4, 4, 1, 1, 1, 6, 6, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 4, 4, 7, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 8, 1, 1, 1, 2, 8, 8, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 3, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 4, 4, 9, 9, 9, 9, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 13, 13, 1, 2, 1, 2, 13, 13, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 3, 1, 1, 1, 2, 1, 1, 1 ]
[ 1070, 6424, 282, 22919, 32, 39033, 1188, 319, 203, 465, 8745, 203, 7508, 280, 31571, 5897, 346, 203, 7508, 32, 1689, 26, 13457, 1711, 26, 39, 34, 34, 34, 490, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 10374, 2422, 48, 100, 2131, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 10374, 2422, 48, 4625, 2131, 203, 7508, 32, 1689, 26, 2304, 32, 2130, 26037, 1711, 1157, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 440, 3211, 2131, 203, 7508, 32, 1689, 26, 2304, 32, 3271, 21430, 1711, 26, 284, 313, 35, 32, 7064, 9146, 392, 284, 3037, 4758, 9627, 815, 26543, 44, 225, 330, 8100, 597, 225, 35, 13042, 275, 313, 262, 46969, 15412, 44, 225, 330, 8100, 597, 225, 35, 370, 6213, 47, 35, 392, 275, 313, 8895, 55, 1405, 21451, 44, 330, 8100, 597, 225, 35, 25, 23821, 203, 7508, 32, 1689, 26, 2304, 32, 2130, 26037, 1711, 1157, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 440, 3211, 2131, 203, 7508, 32, 1689, 26, 2304, 32, 3271, 21430, 1711, 26, 284, 313, 36, 32, 7064, 9146, 392, 284, 3037, 4758, 9627, 815, 26543, 44, 225, 330, 8100, 597, 225, 36, 13042, 275, 313, 262, 46969, 15412, 44, 225, 330, 8100, 597, 225, 36, 370, 6213, 47, 35, 392, 275, 313, 8895, 55, 1405, 21451, 44, 330, 8100, 597, 225, 36, 17487, 3578, 25, 23821, 203, 7508, 32, 1689, 26, 2304, 32, 2130, 26037, 1711, 1157, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 440, 3211, 2131, 203, 7508, 32, 1689, 26, 2304, 32, 3271, 21430, 1711, 26, 284, 313, 37, 32, 7064, 9146, 392, 284, 3037, 4758, 9627, 815, 26543, 44, 225, 330, 8100, 597, 225, 37, 5840, 3454, 13042, 275, 313, 262, 46969, 15412, 44, 225, 330, 8100, 597, 225, 37, 5840, 3454, 370, 6213, 47, 35, 392, 275, 313, 8895, 55, 1405, 21451, 44, 330, 8100, 597, 225, 37, 5840, 3454, 25, 23821, 203, 7508, 32, 1689, 26, 2304, 32, 2130, 26037, 1711, 1157, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 440, 3211, 2131, 203, 7508, 32, 1689, 26, 2304, 32, 3271, 21430, 1711, 26, 284, 313, 38, 32, 7064, 9146, 392, 284, 3037, 4758, 9627, 815, 26543, 44, 225, 330, 8100, 597, 225, 38, 17487, 3578, 13042, 275, 313, 262, 46969, 15412, 44, 225, 330, 8100, 597, 225, 38, 17487, 3578, 370, 6213, 47, 35, 392, 275, 313, 8895, 55, 1405, 21451, 44, 330, 8100, 597, 225, 38, 17487, 3578, 25, 23821, 203, 7508, 32, 1689, 26, 2304, 32, 2130, 26037, 1711, 1157, 203, 7508, 32, 1689, 26, 953, 8988, 1711, 440, 3211, 2131, 203, 7508, 32, 1689, 26, 2304, 32, 3271, 21430, 1711, 26, 284, 313, 39, 32, 7064, 9146, 392, 284, 3037, 4758, 9627, 815, 26543, 44, 225, 330, 8100, 597, 225, 39, 5840, 3454, 33062, 597, 225, 40, 17487, 3578, 13042, 275, 313, 262, 46969, 15412, 44, 225, 330, 8100, 597, 225, 39, 5840, 3454, 33062, 597, 5769, 6213, 47, 35, 392, 275, 313, 8895, 55, 1405, 21451, 44, 330, 8100, 597, 225, 39, 5840, 3454, 13042, 275, 313, 8895, 55 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 4, 0, 4, 3, 4, 3, 5, 5, 5, 6, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 7, 7, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 7, 7, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 7, 7, 0, 4, 3, 4, 3, 6, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1 ]
[ 823, 27645, 924, 26, 984, 711, 284, 3097, 203, 589, 617, 371, 81, 2668, 81, 1071, 26, 266, 81, 3651, 711, 284, 17851, 280, 4117, 1071, 26, 266, 81, 3651, 27, 284, 415, 17851, 32, 29704, 848, 225, 35, 556, 17851, 32, 1094, 891, 848, 225, 35, 44, 291, 3636, 7724, 924, 463, 1473, 2298, 526, 312, 3982, 31, 11694, 3112, 432, 3519, 11834, 284, 1596, 44, 291, 17851, 280, 17851, 32, 2405, 463, 85, 683, 284, 2940, 29316, 44, 291, 3097, 284, 442, 17851, 203, 589, 9336, 26, 266, 81, 3651, 711, 284, 415, 6937, 26, 266, 81, 3651, 30, 596, 711, 291, 3636, 12678, 463, 14923, 31, 5740, 2298, 526, 11830, 619, 3519, 1932, 683, 284, 328, 81, 3651, 81, 8391, 280, 617, 371, 81, 2668, 81, 1071, 26, 266, 81, 3651, 27, 284, 1158, 81, 6158, 280, 2933, 284, 963, 81, 3651, 280, 3432, 955, 346, 284, 5417, 280, 225, 34, 284, 3233, 81, 1366, 81, 2875, 280, 225, 34, 284, 436, 328, 81, 1594, 328, 328, 81, 3651, 81, 8391, 44, 291, 415, 328, 81, 1594, 610, 323, 10255, 106, 34, 34, 950, 324, 1158, 81, 6158, 280, 2933, 324, 963, 81, 3651, 32, 1689, 26, 2875, 429, 3233, 81, 1366, 81, 2875, 474, 225, 35, 27, 324, 963, 81, 3651, 1454, 328, 81, 3651, 81, 8391, 77, 1903, 81, 1366, 81, 2875, 44, 2875, 79, 324, 3233, 81, 1366, 81, 2875, 280, 5417, 474, 225, 35, 291, 813, 44, 324, 415, 5417, 429, 3233, 81, 1366, 81, 2875, 610, 225, 34, 31540, 44, 400, 1158, 81, 6158, 280, 3177, 400, 963, 81, 3651, 32, 1689, 26, 34, 4769, 27, 400, 963, 81, 3651, 1454, 328, 81, 3651, 81, 8391, 77, 1903, 81, 1366, 81, 2875, 44, 2875, 29, 35, 79, 400, 3233, 81, 1366, 81, 2875, 280, 5417, 474, 225, 35, 291, 5417, 1454, 225, 35, 284, 415, 5417, 863, 3233, 81, 1366, 81, 2875, 556, 1158, 81, 6158, 44, 291, 963, 81, 3651, 32, 1689, 26, 2875, 429, 3233, 81, 1366, 81, 2875, 474, 225, 35, 27, 291, 963, 81, 3651, 1454, 328, 81, 3651, 81, 8391, 77, 1903, 81, 1366, 81, 2875, 44, 2875, 79, 284, 442, 3519, 26, 541, 81, 3651, 27, 203, 589, 9843, 26, 266, 81, 3651, 711, 284, 415, 6937, 26, 266, 81, 3651, 30, 596, 711, 291, 3636, 12678, 463, 14923, 31, 5740, 884, 646, 5420, 45, 3432, 3112, 4684, 1755, 683, 284, 328, 81, 3651, 81, 8391, 280, 617, 371, 81, 2668, 81, 1071, 26, 266, 81, 3651, 27, 284, 963, 81, 3651, 280, 3432, 955, 346, 284, 5417, 280, 225, 34, 284, 415, 2069, 26, 266, 81, 3651, 81, 8391, 27, 848, 225, 34, 44, 291, 2218, 2933, 44, 324, 3104, 280, 16167, 26, 266, 81, 3651, 81, 8391, 77, 2875, 1130, 324, 415, 3104, 610, 225, 34, 44, 400, 3636, 27645, 924, 440, 6158, 3432, 2431, 328, 1509, 657, 324, 5417, 1454, 225, 35, 324, 943, 280, 5417, 474, 3104, 429, 225, 35, 324, 1933, 81, 8391, 280, 328, 81, 3651, 81, 8391, 77, 2875, 44, 416 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 7, 7, 7, 6, 2, 2, 3, 6, 7, 5, 5, 6, 4, 4, 6, 7, 7, 5, 5, 6, 3, 3, 3, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 3, 3, 4, 4, 4, 4, 2, 2, 3, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 3, 5, 6, 6, 6, 5, 5, 5, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 7, 7, 6, 6, 8, 9, 9, 9, 8, 5, 5, 9, 9, 8, 8, 6, 6, 10, 10, 9, 10, 9, 12, 11, 11, 12, 12, 12, 12, 10, 10, 11, 9, 6, 6, 9, 9, 8, 8, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 10, 11, 9, 6, 6, 9, 9, 9, 9, 8, 8, 9, 9, 10, 5, 5, 6, 6, 6, 8, 10, 10, 11, 11, 11, 11, 9, 9, 10, 10, 8, 8, 8, 12, 12, 11, 11, 9, 9, 13, 13, 12, 13, 12, 13, 13, 12, 9, 9, 12, 12, 11, 11, 13, 13, 13, 13, 12, 14, 14, 14, 14, 14, 13, 15, 14, 15, 12, 9, 9, 12, 12, 12, 12, 11, 11, 12, 12, 13, 4, 4, 6, 6, 7, 2, 2, 3, 5, 5, 6, 6, 6, 6, 4, 4, 5, 5, 3, 3, 3, 8, 8, 7, 8, 7, 10, 9, 9, 10, 10, 10, 10, 8, 8, 9, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 2, 2, 3, 5, 6, 6, 6, 5, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 3, 5, 6, 6, 6, 5, 5, 5, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 5, 2, 2, 3, 6, 7, 7, 7, 7, 7, 6, 4, 4, 5, 3, 3, 3, 5, 5, 5, 5, 8, 8, 10, 12, 12, 12, 12, 12, 11, 12, 11, 6, 6, 7, 8, 8, 9, 7, 7, 7, 9, 11, 11, 13, 13, 13, 13, 13, 13, 6, 6, 8, 8, 9, 6, 6, 8, 8, 10, 10, 9, 9, 10, 6, 6, 9, 9, 8, 8, 10, 10, 10, 10, 9, 11, 10, 11 ]
[ 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 3, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 4, 4, 6, 1, 1, 6, 6, 3, 3, 3, 3, 6, 6, 6, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 2, 4, 4, 7, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 7, 7, 7, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 8, 1, 1, 1, 1, 1, 0, 3, 3, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2 ]
[ 1070, 1278, 44584, 32, 11382, 1188, 3677, 81, 2142, 2563, 203, 1070, 1278, 44584, 32, 11382, 1188, 4082, 203, 1070, 1278, 44584, 32, 11382, 1188, 7884, 203, 1070, 1278, 44584, 32, 12824, 1188, 5216, 203, 1070, 1278, 44584, 32, 1356, 1188, 3878, 203, 823, 676, 21163, 17412, 26, 2888, 81, 2142, 2563, 32, 5068, 2885, 17412, 711, 334, 47729, 1345, 81, 15625, 940, 280, 2107, 954, 39, 370, 330, 5567, 36, 39, 40, 785, 334, 47729, 1345, 81, 20474, 69, 280, 2107, 525, 370, 330, 641, 785, 334, 665, 1156, 1664, 3207, 784, 30, 3677, 81, 3926, 30, 3677, 81, 11382, 81, 3926, 30, 1115, 5321, 711, 284, 2599, 26, 13937, 462, 17412, 30, 630, 14585, 1664, 3207, 291, 3677, 81, 3926, 30, 3677, 81, 11382, 81, 3926, 30, 1115, 5321, 27, 284, 630, 1114, 7149, 81, 979, 81, 1455, 81, 2958, 81, 1648, 280, 3177, 284, 630, 1114, 2035, 280, 1665, 284, 630, 1114, 625, 280, 1665, 284, 630, 1114, 5721, 280, 1665, 284, 630, 1114, 965, 280, 1665, 334, 665, 617, 1625, 2885, 26, 784, 30, 19272, 711, 284, 415, 646, 630, 1114, 965, 44, 397, 630, 1114, 965, 280, 8930, 34, 44, 101, 111, 45268, 35, 44, 101, 40602, 36, 44, 86, 3188, 761, 33, 1809, 2473, 1643, 26, 616, 630, 1114, 5721, 30, 630, 1114, 2035, 30, 630, 1114, 625, 27, 284, 1326, 81, 605, 280, 301, 784, 32, 10122, 81, 2888, 44, 19272, 111, 284, 1596, 44, 397, 2361, 81, 1986, 280, 630, 32, 6669, 1104, 2185, 11867, 3265, 26, 616, 630, 1114, 965, 30, 330, 3705, 370, 706, 47, 1357, 81, 605, 27, 284, 2940, 3878, 32, 2798, 924, 619, 3756, 44, 397, 2361, 81, 1986, 280, 1665, 397, 4082, 32, 731, 463, 12014, 372, 2467, 676, 21163, 623, 1048, 44, 301, 34, 19, 101, 4009, 2473, 1643, 26, 616, 3756, 490, 284, 442, 2361, 81, 1986, 334, 665, 2244, 12884, 26, 784, 30, 27730, 711, 284, 3677, 81, 25519, 1464, 280, 1605, 284, 436, 19272, 328, 27730, 44, 397, 2361, 81, 1986, 280, 630, 1114, 1625, 2885, 26, 13995, 27, 397, 3677, 81, 11382, 280, 3677, 81, 2142, 2563, 32, 2885, 9745, 26, 13995, 30, 2361, 81, 1986, 27, 397, 3677, 81, 25519, 1464, 32, 1689, 26, 2888, 81, 11382, 27, 284, 442, 3677, 81, 25519, 1464, 334, 665, 1756, 3663, 26, 784, 30, 3408, 711, 284, 630, 1114, 2035, 280, 3408, 334, 665, 1756, 3437, 26, 784, 30, 2601, 711, 284, 630, 1114, 625, 280, 2601, 334, 665, 1756, 5506, 26, 784, 30, 7079, 711, 284, 415, 7079, 646, 328, 630, 32, 22471, 81, 20474, 69, 44, 397, 3636, 10091, 463, 16746, 7079, 44, 301, 34, 19, 101, 16805, 1643, 26, 5721, 490, 284, 630, 1114, 5721, 280, 7079, 334, 665, 2108, 2798, 26, 784, 711, 284, 1984, 280, 8930, 34, 44, 101, 111, 45268, 35, 44, 101, 40602, 36, 44, 86, 3188, 858, 2473, 1643, 26, 291, 630, 1114, 5721, 30, 630, 1114, 2035, 30, 630, 1114, 625, 27, 284, 1596, 44, 397, 2361, 81, 1986, 280, 630, 32, 6669, 1104, 2185, 11867 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 7, 7, 5, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 9, 10, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 10, 10, 11, 12, 10, 10, 11, 12, 10, 10, 11, 12, 10, 4, 4, 7, 7, 6, 6, 10, 9, 10, 10, 10, 8, 8, 7, 4, 4, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 10, 10, 10, 11, 12, 10, 10, 12, 12, 10, 11, 12, 12, 12, 10, 5, 5, 6, 8, 9, 9, 7, 7, 6, 6, 6, 10, 10, 9, 9, 7, 7, 10, 11, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 12, 12, 12, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 9, 9, 8, 8, 11, 11, 11, 10, 11, 11, 10, 11, 10, 10, 11, 11, 10, 6, 6, 10, 10, 10, 9, 10, 9, 10, 10, 10, 9, 4, 4, 5, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 7, 9, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 11, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 2, 2, 3, 0, 2, 2, 1, 1, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 4, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 4, 4, 5, 1, 2, 1, 2, 2, 2, 5, 5, 0, 2, 0, 0, 4, 4, 6, 1, 2, 1, 2, 2, 2, 6, 6, 0, 2, 0, 0, 4, 4, 7, 1, 2, 1, 2, 2, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 8, 1, 2, 1, 2, 8, 8, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2 ]
[ 465, 2322, 30, 5237, 203, 465, 16539, 203, 465, 27374, 203, 1070, 25115, 1188, 34853, 203, 465, 4281, 1260, 203, 1070, 1845, 13261, 1188, 5216, 203, 1070, 1845, 13261, 32, 13261, 1188, 28526, 203, 465, 1133, 203, 1070, 18971, 32, 1163, 1188, 3383, 203, 1070, 1359, 1188, 390, 35227, 726, 81, 6191, 203, 1070, 345, 360, 362, 360, 32, 1262, 32, 3264, 81, 2067, 1188, 6564, 203, 3550, 280, 3383, 17987, 203, 3550, 32, 1070, 81, 978, 761, 26, 53, 35227, 726, 81, 6191, 27, 203, 3550, 710, 6870, 81, 2474, 785, 280, 313, 8231, 81, 84, 374, 20, 203, 89, 280, 6564, 26, 3550, 27, 203, 1199, 280, 485, 32, 371, 81, 1199, 463, 19577, 683, 203, 7281, 280, 485, 32, 371, 81, 1199, 463, 11115, 683, 203, 751, 280, 485, 32, 371, 81, 4073, 346, 203, 1070, 345, 360, 362, 360, 32, 34059, 32, 28640, 32, 28640, 81, 5866, 1188, 546, 3429, 5392, 225, 203, 823, 10421, 26, 1473, 711, 284, 1156, 2559, 32095, 505, 280, 34853, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 3542, 81, 1347, 280, 1665, 291, 630, 32, 4555, 280, 225, 34, 284, 665, 739, 26, 784, 30, 706, 711, 291, 630, 32, 3542, 81, 1347, 280, 706, 77, 36, 1674, 35, 79, 291, 630, 32, 4555, 280, 706, 77, 34, 1674, 35, 79, 284, 665, 622, 26, 784, 711, 291, 442, 3447, 307, 96, 20, 499, 630, 32, 3542, 81, 1347, 30, 225, 313, 4555, 20, 499, 630, 32, 4555, 111, 284, 665, 5657, 26, 784, 711, 291, 3097, 203, 823, 47017, 2597, 26, 1473, 711, 284, 1156, 2559, 32095, 505, 280, 34853, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 3542, 81, 1347, 280, 1665, 291, 630, 32, 7512, 280, 225, 34, 284, 665, 739, 26, 784, 30, 706, 711, 291, 630, 32, 3542, 81, 1347, 280, 706, 77, 34, 1674, 35, 79, 291, 630, 32, 7512, 280, 706, 77, 35, 1674, 35, 79, 284, 665, 622, 26, 784, 711, 291, 442, 3447, 307, 96, 20, 499, 630, 32, 3542, 81, 1347, 30, 313, 7512, 563, 784, 32, 7512, 111, 284, 665, 5657, 26, 784, 711, 291, 3097, 262, 203, 589, 622, 81, 2067, 26, 605, 711, 284, 2830, 280, 2149, 284, 436, 909, 328, 706, 44, 291, 415, 909, 77, 36, 79, 863, 313, 13716, 563, 324, 3636, 26, 984, 440, 1337, 4644, 2131, 291, 1202, 280, 225, 909, 77, 34, 997, 2998, 46661, 6448, 35, 79, 291, 2830, 77, 678, 79, 280, 909, 77, 35, 79, 284, 442, 2830, 203, 823, 47017, 8068, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 284, 665, 4131, 26, 784, 30, 706, 711, 28867, 2813, 96, 280, 706, 77, 34, 1674, 35, 79, 291, 18129, 6849, 280, 706, 77, 35, 1674, 35, 79, 291, 415, 18129, 6849, 610, 2933, 44, 324, 18129, 858, 280, 225, 36, 291, 813, 44, 324, 18129, 858, 280, 225, 34, 291, 5552, 280, 313, 1613, 9811, 81, 88, 81, 3542, 1347, 81, 858, 81, 7512, 15339, 101, 1195, 23, 101, 1195, 7512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 3, 2, 2, 4, 0, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 0, 4, 3, 5, 5, 5, 5, 2, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 0, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 9, 9, 9, 7, 7, 8, 9, 9, 9, 6, 6, 6, 9, 9, 7, 7, 8, 9, 6, 2, 2, 3, 4, 5, 4, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 9, 9, 9, 7, 7, 8, 9, 9, 9, 6, 6, 9, 9, 9, 8, 9, 6, 2, 2, 3, 4, 5, 4, 3, 3, 0, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 6, 6, 8, 8, 5, 5, 8, 10, 10, 12, 12, 12, 4, 4, 6, 6, 6, 10, 11, 10, 10, 9, 7, 9, 7, 4, 4, 7, 8, 7, 6, 6, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 9, 8, 8, 7, 4, 4, 7, 6, 6, 8, 9, 8, 8, 7, 4, 4, 5, 7, 6, 6, 5, 5, 5, 9, 8, 8, 9, 5, 5, 6, 6, 6, 10, 9, 9, 10, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 0, 0, 1, 2, 1, 4, 4, 4, 10, 10, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 18, 18, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 18, 18, 0, 0, 0, 0, 19, 19, 2, 1, 2, 19, 19, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 20, 20, 1, 2, 1, 2, 20, 20, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 0, 21, 21, 1, 1, 2, 1, 2, 21, 21, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 5, 5, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 2, 0, 22, 22, 1, 2, 1, 2, 22, 22, 0, 1, 1, 1, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 4, 4, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 2322, 315, 81, 22969, 32, 8358, 1188, 26635, 619, 16215, 203, 1070, 20458, 1800, 32, 2282, 1188, 3756, 203, 1070, 20458, 1800, 32, 3483, 1188, 4706, 203, 1070, 20458, 1800, 32, 3483, 1188, 2719, 203, 1070, 20458, 1800, 32, 4882, 32, 2282, 1188, 1695, 203, 1070, 20458, 1800, 32, 4882, 32, 2282, 1188, 8745, 203, 1070, 20458, 1800, 32, 4882, 1188, 296, 4062, 203, 823, 15310, 620, 1006, 26, 1439, 32, 30673, 1800, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 4248, 620, 1006, 30, 630, 547, 23741, 346, 291, 630, 32, 2095, 280, 8745, 32, 11215, 81, 1819, 26, 15213, 81, 314, 1057, 6038, 81, 681, 81, 858, 81, 15213, 683, 291, 630, 32, 819, 280, 2719, 32, 3711, 1183, 463, 2035, 31, 83, 370, 330, 5473, 31, 83, 683, 291, 630, 32, 819, 32, 1664, 81, 102, 13945, 346, 291, 4706, 32, 3264, 81, 2121, 922, 3317, 81, 6038, 463, 1006, 4248, 370, 2270, 296, 4062, 32, 1006, 4248, 27, 284, 665, 894, 81, 6038, 81, 681, 81, 668, 26, 784, 711, 291, 3738, 280, 630, 32, 819, 32, 6038, 81, 681, 81, 668, 26, 784, 32, 2095, 27, 291, 630, 32, 25839, 1810, 26, 2516, 30, 1149, 27, 291, 630, 32, 33966, 14178, 426, 950, 330, 1006, 4248, 8885, 3738, 27, 291, 630, 32, 31196, 383, 14178, 426, 950, 330, 6060, 31, 1376, 4387, 31, 25618, 8885, 3738, 27, 284, 665, 894, 81, 6038, 81, 681, 81, 3968, 26, 784, 711, 291, 827, 81, 426, 280, 330, 1006, 4248, 25, 291, 2799, 280, 301, 324, 330, 2285, 950, 301, 400, 330, 3307, 35, 950, 301, 528, 330, 681, 950, 330, 652, 370, 528, 330, 3648, 950, 3177, 30, 528, 330, 3648, 950, 3177, 30, 528, 330, 2310, 950, 330, 678, 35, 370, 528, 330, 1536, 950, 330, 1536, 35, 370, 400, 801, 400, 330, 3307, 36, 950, 301, 528, 330, 681, 950, 330, 3061, 370, 528, 330, 3648, 950, 3177, 30, 528, 330, 2310, 950, 330, 678, 36, 370, 528, 330, 1536, 950, 225, 35, 30, 400, 801, 324, 320, 291, 320, 291, 5365, 280, 630, 32, 819, 32, 6038, 81, 681, 81, 3968, 26, 784, 32, 2095, 30, 827, 81, 426, 47, 681, 81, 426, 27, 291, 630, 32, 5299, 26, 3140, 30, 5365, 27, 284, 665, 894, 81, 6038, 81, 681, 81, 3968, 81, 3780, 12527, 26, 784, 711, 291, 538, 280, 630, 32, 23895, 26, 8358, 32, 7700, 984, 30, 7686, 630, 32, 819, 32, 6038, 81, 681, 81, 3968, 30, 7686, 630, 32, 2095, 30, 827, 81, 426, 1057, 52, 817, 352, 683, 291, 630, 32, 5299, 26, 3893, 32, 4248, 620, 5965, 30, 538, 32, 14806, 81, 1338, 77, 34, 1130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 8, 8, 8, 7, 4, 4, 9, 10, 10, 10, 9, 8, 8, 8, 7, 9, 9, 9, 7, 7, 9, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 7, 11, 11, 9, 11, 11, 11, 7, 7, 4, 4, 7, 8, 8, 7, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 4, 4, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 12, 10, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 11, 11, 11, 14, 14, 12, 11, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11, 9, 9, 12, 12, 12, 10, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 11, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11, 14, 14, 12, 13, 11, 11, 11, 9, 9, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10, 10, 8, 8, 8, 10, 11, 9, 10, 10, 10, 10, 10, 8, 8, 8, 9, 10, 8, 8, 10, 10, 9, 11, 11, 11, 11, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 9, 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 ]
[ 0, 0, 0, 0, 0, 1, 2, 0, 0, 3, 3, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 2, 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, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 3, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 2, 1, 2, 7, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 1, 1, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 3, 2, 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 ]
[ 1070, 8527, 32, 12023, 32, 2300, 32, 4338, 32, 28497, 1188, 24061, 81, 3656, 81, 3648, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 10720, 30, 9618, 203, 1070, 8527, 32, 525, 1188, 4688, 38, 34, 38, 203, 1070, 8527, 32, 36287, 1188, 622, 81, 1473, 81, 271, 81, 38, 34, 38, 30, 2908, 81, 452, 81, 1986, 203, 1070, 8527, 32, 2387, 1188, 4448, 1222, 203, 1070, 14735, 1188, 12441, 888, 2212, 924, 203, 1070, 4549, 1188, 21400, 30, 21400, 1240, 203, 1070, 8745, 32, 2632, 1188, 8793, 81, 19972, 30, 8289, 81, 3368, 30, 8289, 81, 9892, 203, 50, 15989, 81, 3656, 81, 3648, 203, 589, 26073, 81, 11773, 26, 1357, 711, 284, 4523, 81, 31716, 280, 21400, 32, 2480, 32, 464, 346, 284, 28459, 81, 31716, 280, 21400, 32, 24465, 32, 464, 346, 284, 17920, 1464, 280, 1605, 3701, 310, 27314, 1464, 280, 2069, 26, 25519, 1464, 27, 284, 442, 2908, 81, 452, 81, 1986, 463, 360, 27915, 16385, 360, 1691, 33, 31716, 32, 916, 370, 4985, 5053, 2480, 81, 31716, 950, 4523, 81, 31716, 30, 7686, 330, 24465, 81, 31716, 950, 28459, 81, 31716, 30, 7686, 330, 25519, 1464, 950, 17920, 1464, 30, 7686, 330, 96, 10386, 101, 950, 21400, 32, 5740, 32, 998, 1026, 7686, 330, 96, 10386, 101, 4077, 950, 4523, 81, 31716, 32, 998, 1026, 7686, 330, 96, 10386, 101, 27309, 950, 28459, 81, 31716, 32, 998, 1026, 7686, 330, 96, 27314, 1464, 950, 310, 27314, 1464, 30, 835, 4985, 1619, 81, 2386, 47, 39034, 26, 1357, 490, 203, 50, 15989, 81, 3656, 81, 3648, 203, 589, 9624, 81, 5110, 81, 11773, 26, 1357, 30, 9624, 81, 314, 711, 284, 8793, 81, 35683, 81, 466, 280, 1326, 32, 2788, 32, 371, 463, 2632, 81, 35683, 370, 330, 18622, 81, 9892, 683, 284, 8793, 81, 35683, 280, 8793, 81, 19972, 77, 2632, 81, 35683, 81, 466, 1674, 34, 79, 3701, 36478, 280, 622, 81, 1473, 81, 271, 81, 38, 34, 38, 26, 10386, 30, 804, 47, 10850, 81, 314, 27, 284, 24840, 30, 8793, 81, 35683, 280, 36478, 32, 7924, 81, 24616, 26, 2632, 81, 35683, 47, 2632, 81, 35683, 27, 284, 2401, 81, 327, 385, 496, 280, 21400, 1240, 32, 371, 81, 5323, 26, 327, 385, 27, 284, 442, 2908, 81, 452, 81, 1986, 463, 360, 27915, 16385, 360, 1691, 33, 10850, 81, 5110, 32, 916, 370, 4985, 5053, 327, 385, 950, 36478, 30, 7686, 330, 24616, 950, 24840, 30, 7686, 330, 2632, 81, 35683, 950, 8793, 81, 35683, 30, 7686, 330, 2135, 81, 19286, 950, 2401, 81, 327, 385, 496, 32, 1220, 30, 835, 4985, 1619, 81, 2386, 47, 39034, 26, 1357, 490, 203, 50, 15989, 81, 3656, 81, 3648, 203, 589, 9209, 81, 5110, 81, 11773, 26, 1357, 30, 9209, 81, 7794, 711, 284, 8793, 81, 35683, 81, 466, 280, 1326, 32, 2788, 32, 371, 463, 2632, 81, 35683, 370, 330, 18622, 81, 9892, 683, 284, 8793, 81, 35683, 280, 8793, 81, 19972, 77, 2632, 81, 35683, 81, 466, 1674, 34, 79 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 2, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 6, 6, 5, 5, 8, 9, 7, 8, 7, 3, 3, 6, 6, 5, 5, 8, 9, 7, 8, 7, 3, 3, 6, 5, 5, 3, 3, 6, 6, 5, 5, 7, 8, 8, 7, 3, 3, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 10, 8, 11, 12, 10, 11, 10, 7, 7, 10, 10, 10, 10, 10, 8, 11, 11, 10, 11, 10, 7, 7, 10, 10, 10, 10, 10, 8, 11, 11, 10, 11, 10, 7, 7, 10, 10, 10, 10, 8, 9, 9, 7, 7, 6, 6, 8, 8, 7, 9, 9, 10, 9, 0, 2, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 2, 2, 6, 6, 6, 6, 5, 5, 8, 9, 7, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 3, 3, 6, 6, 5, 5, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 6, 3, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 8, 9, 9, 9, 7, 3, 3, 6, 6, 7, 7, 5, 5, 7, 8, 8, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 3, 3, 6, 6, 6, 6, 5, 5, 8, 7, 8, 8, 8, 7, 8, 8, 7, 3, 3, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 10, 10, 8, 7, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 9, 10, 7, 7, 6, 6, 8, 8, 7, 9, 9, 10, 9, 0, 2, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 2, 2, 6, 6, 6, 6, 5, 5, 8, 9, 7, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 3, 3, 6, 6, 5, 5, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 6 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 1, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 8, 8, 1, 2, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 1, 1, 1, 2, 3, 2, 2, 3, 3, 3, 1, 1, 2, 5, 2, 3, 3, 3, 1, 1, 1, 2, 7, 0, 2, 0, 2, 1, 3, 3, 1, 1, 1, 1, 2, 9, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 2, 11, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 2, 13, 2, 2, 3, 3, 1, 1, 0, 0, 5, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 10, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 2, 5, 2, 2, 3, 3, 3, 1, 1, 1, 2, 7, 0, 0, 0, 0, 2, 2, 3, 3, 1, 1, 0, 0, 5, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2 ]