Search is not available for this dataset
input_ids
sequencelengths
512
512
attention_mask
sequencelengths
512
512
depths
sequencelengths
512
512
sibling_idxs
sequencelengths
512
512
[ 465, 5237, 203, 465, 2322, 203, 1070, 1673, 2304, 32, 4275, 1188, 9306, 2304, 6841, 924, 30, 9306, 2304, 2650, 924, 203, 1070, 1673, 2304, 32, 2811, 1188, 9399, 203, 1070, 1673, 2304, 1188, 1245, 203, 589, 16611, 26, 3515, 30, 3233, 81, 983, 47, 35, 30, 9541, 47, 34, 30, 32609, 81, 1945, 47, 34, 711, 284, 4774, 280, 1149, 26, 3515, 27, 284, 415, 2322, 32, 426, 610, 330, 28950, 950, 291, 617, 15697, 81, 28950, 26, 3515, 30, 3233, 81, 983, 30, 32609, 81, 1945, 47, 24223, 81, 1945, 27, 284, 4348, 2322, 32, 426, 610, 330, 566, 950, 291, 617, 15697, 81, 566, 26, 3515, 30, 3233, 81, 983, 30, 32609, 81, 1945, 47, 24223, 81, 1945, 27, 284, 813, 44, 291, 3636, 9306, 2304, 6841, 924, 26, 1090, 313, 11676, 1330, 3702, 2624, 372, 16611, 18335, 544, 5624, 6611, 101, 7362, 904, 2322, 32, 426, 27, 203, 589, 617, 566, 81, 7345, 81, 1132, 26, 1132, 711, 284, 436, 595, 30, 1638, 328, 10703, 26, 1132, 711, 291, 415, 330, 330, 328, 1638, 44, 324, 2181, 77, 91, 79, 280, 6113, 23, 101, 14891, 904, 1638, 284, 442, 2181, 203, 589, 617, 15697, 81, 566, 26, 3515, 30, 3233, 81, 983, 47, 35, 30, 9541, 47, 34, 30, 32609, 81, 1945, 47, 34, 711, 284, 15012, 280, 4774, 77, 34, 79, 284, 4774, 280, 617, 566, 81, 7345, 81, 1132, 26, 3515, 27, 284, 415, 3233, 81, 983, 44, 291, 15012, 280, 2290, 81, 21823, 26, 21823, 27, 556, 15012, 284, 1245, 32, 1338, 463, 5608, 2524, 2009, 21823, 79, 474, 4774, 77, 35, 44, 5259, 284, 415, 646, 32609, 81, 1945, 44, 291, 1596, 44, 324, 7631, 280, 2322, 32, 15697, 104, 26, 500, 32, 66, 81, 16718, 30, 15012, 30, 4774, 27, 291, 2940, 546, 21887, 619, 13489, 44, 324, 415, 646, 9399, 44, 400, 4774, 280, 15012, 324, 3636, 9306, 2304, 2650, 924, 26, 1750, 313, 2501, 904, 100, 3803, 44, 904, 101, 20, 904, 308, 3515, 30, 13489, 32, 1132, 6448, 35, 5259, 291, 415, 7631, 863, 225, 34, 44, 324, 415, 646, 9399, 44, 400, 4774, 280, 15012, 324, 3636, 9306, 2304, 2650, 924, 26, 1750, 313, 2501, 904, 100, 3803, 623, 4323, 2287, 904, 86, 20, 904, 308, 3515, 30, 7631, 490, 203, 325, 5237, 32, 5134, 610, 330, 24917, 950, 284, 645, 1673, 2304, 1188, 5237, 1163, 284, 617, 4687, 81, 1977, 280, 1665, 284, 617, 4687, 81, 1977, 81, 2998, 280, 1665, 203, 589, 617, 15697, 81, 28950, 26, 3515, 30, 3233, 81, 983, 47, 35, 30, 9541, 47, 34, 30, 32609, 81, 1945, 47, 34, 711, 284, 1245, 32, 1338, 463, 5608, 2524, 26, 3515, 490, 284, 415, 32609, 81, 1945, 44, 291, 442, 284, 15012, 280, 4774, 77, 34, 79, 284, 2299, 81, 3359, 280, 3233, 81, 983, 461, 2322, 32, 2493, 10734, 556, 2322, 32, 2493, 104, 284, 4533, 280, 1665, 284, 415, 5237, 32, 5134, 610, 330, 24917, 950, 291, 3649, 617, 4687, 81, 1977, 30, 617, 4687, 81, 1977, 81, 2998, 291, 415, 617 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 5, 6, 4, 4, 6, 6, 3, 3, 7, 7, 7, 7, 8, 7, 7, 8, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 3, 3, 4, 6, 7, 5, 5, 7, 7, 4, 4, 8, 8, 8, 8, 9, 8, 8, 9, 9, 8, 8, 10, 10, 9, 10, 10, 10, 8, 3, 3, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 11, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 5, 6, 5, 3, 3, 5, 8, 6, 6, 5, 5, 5, 9, 10, 9, 8, 8, 11, 11, 11, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 5, 6, 5, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 9, 9, 9, 10, 9, 7, 7, 2, 2, 5, 6, 5, 9, 8, 7, 10, 9, 8, 8, 9, 11, 10, 9, 2, 2, 3, 4, 5, 5, 3, 3, 3, 5, 5, 5, 8, 8, 10, 11, 11, 10, 12, 11, 12, 12, 12, 10, 10, 10, 10, 10, 5, 5, 6, 8, 7, 7, 6, 6, 6, 8, 9, 8, 8, 8, 11, 11, 7, 7, 8, 10, 10, 10, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 12, 12, 14, 15, 13, 15, 13, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 8, 7, 7, 7, 10, 10, 6, 6, 7, 9, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 11, 11, 0, 1, 1, 3, 4, 2, 2, 4, 4, 1, 1, 3, 5, 3, 3, 5, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 6, 5, 9, 8, 7, 8, 7, 2, 2, 3, 4, 4, 3, 3, 3, 2, 2, 4, 4, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 7, 6, 6, 7, 8, 8, 5, 5, 6, 7, 7, 2, 2, 4, 4, 2, 2, 3, 5, 6, 4, 4, 6, 6, 3, 3, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 4, 4, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 5, 5, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 7, 7, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 4, 4, 4, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 0, 1, 1, 3, 3, 3, 0, 1, 0, 0, 0, 0, 0, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 3, 1, 3, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 8, 8, 0, 2, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 9, 9, 0, 2, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 4, 4, 5, 0, 2, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 0, 0, 3, 3, 3, 3, 3, 3, 3, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 1524, 203, 1559, 203, 1647, 44, 544, 26379, 81, 696, 481, 81, 91, 557, 203, 1648, 81, 11043, 44, 313, 36, 32, 39, 20, 203, 2116, 44, 313, 69, 26872, 1513, 872, 11931, 14690, 15680, 4731, 203, 4021, 81, 2310, 44, 31580, 439, 2743, 308, 1146, 31, 10356, 2552, 27, 544, 488, 1030, 278, 1271, 5701, 13725, 3984, 9241, 203, 2310, 44, 334, 429, 1348, 2297, 7367, 4497, 26240, 11146, 432, 439, 2743, 308, 1146, 31, 10356, 2552, 27, 284, 11146, 544, 488, 1030, 278, 1271, 5701, 13725, 3984, 9241, 32, 203, 8886, 44, 334, 429, 27859, 544, 5701, 13725, 225, 37, 32, 40, 32, 38, 34, 34, 34, 203, 2184, 44, 334, 636, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 2568, 308, 625, 31, 3237, 27, 439, 2743, 1395, 526, 9577, 544, 32, 284, 2129, 44, 861, 334, 45361, 81, 3337, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 439, 2743, 45361, 2568, 32, 334, 1603, 44, 284, 3048, 44, 397, 429, 439, 2743, 1603, 32, 284, 1244, 44, 5024, 284, 16682, 44, 2107, 2689, 370, 330, 3596, 304, 785, 334, 10362, 81, 2468, 44, 284, 3048, 44, 397, 429, 439, 2743, 10362, 4600, 2965, 32, 203, 2993, 203, 1460, 39189, 280, 1524, 203, 31, 636, 44, 1420, 8488, 595, 557, 334, 544, 26379, 81, 696, 481, 81, 91, 557, 44, 284, 636, 44, 7228, 35, 284, 45361, 81, 3337, 44, 676, 6874, 225, 37, 36, 36, 284, 1603, 44, 5024, 284, 10362, 81, 2468, 44, 225, 35, 43, 36, 32, 35, 40, 42, 32, 41, 32, 35, 203, 31, 636, 44, 1420, 3345, 595, 557, 334, 544, 26379, 81, 696, 481, 81, 91, 557, 44, 284, 636, 44, 7228, 35, 284, 1603, 44, 40118, 203, 2993, 203, 10934, 280, 1524, 203, 7621, 44, 334, 3048, 44, 886, 1149, 432, 3488, 2926, 6350, 372, 3240, 372, 322, 3298, 32, 334, 4717, 44, 5182, 334, 827, 44, 1149, 334, 3964, 44, 284, 429, 2568, 2601, 31, 3237, 225, 35, 595, 557, 225, 35, 284, 429, 2568, 45361, 225, 35, 34, 36, 38, 595, 557, 225, 35, 10362, 31, 2468, 225, 35, 34, 32, 35, 34, 32, 35, 34, 32, 35, 34, 203, 2993, 203, 465, 316, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 6390, 1188, 35603, 2459, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 4573, 32, 4359, 106, 32, 4359, 106, 1188, 3772, 1484, 26379, 2459, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 4573, 32, 4359, 106, 32, 4359, 106, 1188, 2519, 81, 3515, 203, 823, 2704, 26379, 63, 17797, 59, 557, 2459, 26, 1761, 1484, 26379, 2459, 711, 284, 9414, 927, 81, 2952, 81, 29396, 280, 316, 32, 6993, 26, 100, 28249, 48213, 766, 86, 48891, 284, 477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 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, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 0, 7, 7, 1, 2, 2, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 2, 2, 1, 4, 1, 6, 6, 1, 8, 8, 8, 8, 0, 0, 0, 0, 9, 9, 1, 2, 2, 2, 1, 4, 1, 6, 6, 1, 8, 8, 9, 9, 0, 0, 0, 10, 10, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 4, 4 ]
[ 465, 13625, 203, 465, 4395, 203, 1070, 2322, 315, 81, 17867, 1188, 2361, 2304, 203, 465, 894, 4280, 203, 1070, 34856, 1188, 3082, 203, 1070, 34856, 1188, 4684, 203, 1070, 34856, 32, 5740, 1188, 40507, 81, 2929, 81, 5178, 203, 1070, 34856, 32, 4882, 32, 18651, 32, 104, 37, 1188, 4125, 81, 3287, 81, 1439, 203, 1070, 34856, 32, 4882, 32, 18651, 32, 104, 37, 1188, 894, 81, 13547, 203, 5961, 81, 2076, 280, 313, 15830, 225, 35, 38, 36, 40, 36, 38, 35, 20, 203, 9539, 81, 1199, 81, 1902, 81, 35, 280, 301, 284, 330, 4524, 81, 269, 950, 1665, 30, 284, 330, 6368, 81, 269, 950, 1665, 30, 284, 330, 11965, 81, 269, 950, 1665, 30, 284, 330, 11965, 950, 1665, 30, 284, 330, 314, 950, 225, 35, 30, 284, 330, 7924, 81, 1251, 81, 314, 950, 225, 35, 30, 284, 330, 2468, 950, 330, 34, 34, 34, 34, 44, 34, 38, 44, 35, 34, 32, 34, 370, 284, 330, 7980, 81, 314, 950, 330, 42, 34, 42, 40, 370, 284, 330, 1516, 83, 81, 1251, 950, 225, 34, 30, 284, 330, 2445, 81, 314, 950, 330, 35, 39, 36, 34, 370, 284, 330, 1902, 81, 681, 950, 330, 681, 31, 24099, 370, 284, 330, 1517, 950, 330, 7230, 370, 284, 330, 1902, 81, 314, 950, 330, 24982, 81, 34, 34, 34, 34, 81, 34, 38, 81, 35, 34, 81, 34, 370, 284, 330, 1172, 950, 330, 1172, 81, 42, 34, 42, 40, 81, 35, 39, 36, 34, 370, 284, 330, 2386, 81, 6572, 950, 330, 40, 43, 2653, 35, 34, 38, 38, 31, 34, 41, 40, 40, 31, 38, 735, 34, 31, 84, 40, 34, 86, 31, 34, 43, 39, 43, 39, 286, 34, 37, 38, 83, 35, 370, 284, 330, 1357, 81, 314, 950, 1665, 30, 284, 330, 7615, 81, 1338, 950, 31167, 678, 35, 563, 313, 853, 35, 392, 313, 678, 36, 563, 313, 853, 36, 3612, 25, 284, 320, 203, 9539, 81, 1199, 81, 1902, 81, 36, 280, 301, 284, 330, 4524, 81, 269, 950, 1665, 30, 284, 330, 6368, 81, 269, 950, 1665, 30, 284, 330, 11965, 81, 269, 950, 1665, 30, 284, 330, 11965, 950, 1665, 30, 284, 330, 314, 950, 225, 36, 30, 284, 330, 7924, 81, 1251, 81, 314, 950, 225, 35, 30, 284, 330, 2468, 950, 330, 34, 34, 34, 34, 44, 34, 38, 44, 35, 34, 32, 35, 370, 284, 330, 7980, 81, 314, 950, 330, 42, 34, 42, 40, 370, 284, 330, 1516, 83, 81, 1251, 950, 225, 35, 30, 284, 330, 2445, 81, 314, 950, 330, 35, 39, 36, 34, 370, 284, 330, 1902, 81, 681, 950, 330, 681, 31, 24099, 370, 284, 330, 1517, 950, 330, 7230, 370, 284, 330, 1902, 81, 314, 950, 330, 24982, 81, 34, 34, 34, 34, 81, 34, 38, 81, 35, 34, 81, 35, 370, 284, 330, 1172, 950, 330, 1172, 81, 42, 34, 42, 40, 81, 35, 39, 36, 34, 370, 284, 330, 2386, 81, 6572, 950, 330, 86, 39, 84, 38, 38, 40, 83, 40, 31, 83, 35, 84 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 4, 3, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 4, 3, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 6, 7, 7, 0, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 1, 6, 6, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 11, 2, 2, 2, 2, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 17, 2, 2, 2, 2, 1, 1, 1, 2, 19, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 21, 1, 1, 1, 2, 2, 2, 1, 2, 23, 1, 2, 2, 2, 1, 1, 1, 2, 25, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 27, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 29, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 31, 2, 2, 2, 1, 1, 1, 2, 33, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 11, 2, 2, 2, 2, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 17, 2, 2, 2, 2, 1, 1, 1, 2, 19, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 21, 1, 1, 1, 2, 2, 2, 1, 2, 23, 1, 2, 2, 2, 1, 1, 1, 2, 25, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 27, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 29, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 4533, 203, 465, 2125, 203, 465, 3363, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 5237, 203, 761, 81, 1199, 280, 301, 320, 294, 203, 407, 81, 1199, 280, 301, 320, 294, 203, 823, 2032, 26, 2121, 32, 1208, 6052, 711, 203, 202, 983, 280, 1665, 203, 202, 13346, 280, 1665, 203, 202, 297, 81, 15848, 280, 3177, 203, 202, 297, 81, 1977, 280, 3177, 203, 202, 297, 81, 24643, 280, 3177, 203, 202, 7975, 81, 983, 280, 1665, 203, 202, 589, 1156, 1664, 3207, 784, 30, 1519, 711, 357, 202, 2121, 32, 1208, 6052, 3667, 1664, 3207, 784, 30, 1519, 32, 371, 81, 761, 346, 1717, 4533, 32, 85, 2121, 32, 983, 30, 4533, 32, 85, 2121, 27, 357, 202, 784, 32, 983, 280, 1519, 357, 202, 761, 81, 1199, 77, 466, 26, 983, 2177, 280, 630, 203, 202, 589, 739, 81, 15848, 26, 784, 711, 357, 202, 784, 32, 297, 81, 15848, 280, 2933, 203, 202, 589, 739, 81, 1977, 26, 784, 711, 357, 202, 784, 32, 297, 81, 1977, 280, 2933, 203, 202, 589, 739, 81, 24643, 26, 784, 711, 357, 202, 784, 32, 24643, 280, 2933, 203, 202, 589, 4648, 26, 784, 711, 357, 202, 325, 646, 630, 32, 7975, 81, 983, 44, 355, 202, 325, 646, 630, 32, 297, 81, 1977, 44, 603, 202, 784, 32, 7975, 81, 983, 280, 630, 32, 983, 355, 202, 1824, 44, 603, 202, 84, 983, 280, 630, 1365, 52, 4065, 1446, 603, 202, 325, 646, 323, 983, 44, 577, 202, 784, 32, 7975, 81, 983, 280, 630, 32, 983, 603, 202, 1824, 44, 577, 202, 84, 983, 280, 4533, 32, 452, 1127, 104, 32, 983, 517, 323, 983, 577, 202, 84, 983, 280, 4533, 32, 1215, 26, 84, 983, 27, 577, 202, 325, 630, 32, 983, 32, 4254, 318, 81, 1170, 26, 2121, 32, 452, 1127, 104, 32, 983, 711, 1379, 202, 784, 32, 7975, 81, 983, 280, 323, 983, 517, 630, 32, 983, 32, 9535, 81, 452, 26, 2121, 32, 452, 1127, 104, 32, 983, 27, 577, 202, 1824, 44, 1379, 202, 784, 32, 7975, 81, 983, 280, 225, 323, 983, 517, 630, 32, 983, 357, 202, 601, 630, 32, 7975, 81, 983, 203, 202, 589, 1156, 507, 3207, 784, 30, 1638, 711, 357, 202, 601, 630, 32, 983, 517, 596, 26, 626, 27, 203, 202, 589, 1133, 26, 784, 711, 357, 202, 325, 630, 32, 297, 81, 15848, 44, 355, 202, 601, 225, 34, 357, 202, 1824, 44, 355, 202, 601, 630, 32, 7975, 922, 371, 81, 1803, 81, 1003, 346, 203, 202, 589, 18988, 311, 873, 81, 20938, 26, 784, 30, 296, 711, 357, 202, 325, 630, 32, 297, 81, 15848, 44, 355, 202, 601, 2933, 357, 202, 1824, 44, 355, 202, 601, 630, 32, 1003, 346, 333, 296, 32, 1003, 346, 203, 202, 589, 1156, 466, 3207, 784, 711, 357, 202, 983, 280, 630, 32, 7975, 346, 357, 202, 325, 1519, 32, 4254, 318, 81, 1170, 26, 2121, 32, 1393, 1515, 27, 556, 1519, 32, 4254, 318, 81, 1170, 26, 2121, 32, 1537, 1515 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 0, 0, 3, 3, 3, 2, 2, 3, 0, 0, 1, 1, 2, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 8, 9, 9, 7, 8, 8, 8, 7, 7, 9, 10, 10, 10, 9, 7, 7, 9, 10, 10, 8, 9, 7, 7, 8, 9, 9, 7, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 8, 8, 7, 9, 9, 10, 9, 6, 6, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 8, 7, 8, 6, 6, 2, 2, 3, 3, 4, 5, 4, 3, 3, 5, 5, 6, 7, 8, 8, 8, 5, 5, 5, 7, 7, 8, 9, 10, 10, 10, 7, 7, 7, 12, 11, 12, 12, 12, 10, 10, 11, 12, 7, 7, 8, 8, 8, 8, 12, 12, 11, 11, 12, 14, 14, 14, 9, 9, 10, 10, 11, 12, 10, 10, 10, 15, 14, 15, 15, 15, 13, 13, 14, 15, 10, 10, 11, 11, 11, 11, 15, 15, 14, 14, 17, 18, 18, 18, 16, 17, 15, 15, 16, 12, 12, 15, 15, 14, 14, 16, 17, 16, 17, 17, 16, 12, 12, 13, 13, 16, 17, 15, 16, 16, 16, 16, 15, 18, 17, 18, 18, 18, 16, 17, 15, 13, 13, 18, 17, 18, 18, 18, 16, 16, 18, 17, 17, 20, 21, 19, 20, 20, 20, 19, 22, 21, 22, 22, 22, 20, 21, 19, 13, 13, 14, 14, 14, 14, 19, 18, 19, 19, 19, 17, 17, 17, 19, 18, 18, 19, 20, 4, 4, 5, 5, 6, 7, 7, 7, 2, 2, 3, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 7, 8, 6, 6, 8, 9, 8, 2, 2, 3, 3, 4, 5, 4, 3, 3, 5, 5, 6, 7, 7, 7, 5, 5, 5, 7, 7, 8, 5, 5, 6, 6, 6, 6, 8, 8, 12, 13, 12, 11, 11, 11, 11, 11, 10, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 6, 7, 7, 7, 5, 5, 5, 7, 7, 5, 5, 6, 6, 6, 6, 8, 8, 11, 12, 11, 9, 9, 11, 12, 11, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 8, 4, 4, 5, 5, 8, 9, 9, 9, 9, 8, 10, 9, 10, 10, 8, 6, 6, 8, 9, 9, 9, 9, 8, 11, 10, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 0, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 8, 2, 0, 1, 2, 2, 2, 8, 8, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 6, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 5, 2, 1, 1, 7, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 4, 4, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 2, 2, 2, 0, 0, 4, 4, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 2, 2, 0, 0, 4, 4, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 2, 0, 0, 4, 4, 10, 10, 2, 1, 2, 10, 10, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 4, 4, 4, 4, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 11, 11, 1, 1, 1, 2, 2, 2, 11, 11, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 12, 12, 2, 1, 2, 12, 12, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 4, 4, 4, 4, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 4, 4, 13, 13, 1, 1, 1, 1, 2, 1, 2, 2, 2, 13, 13, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 4, 4, 14, 14, 1, 1, 1, 2, 14, 14, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2 ]
[ 465, 316, 203, 1070, 8527, 32, 1199, 1188, 3387, 203, 1070, 8527, 32, 858, 1188, 19205, 30, 7116, 23093, 1996, 4228, 203, 1070, 8527, 32, 2304, 32, 18651, 1188, 10814, 81, 2433, 203, 858, 81, 44605, 280, 5989, 284, 330, 101, 1923, 950, 225, 38, 37, 36, 40, 30, 284, 330, 2393, 81, 426, 950, 2726, 34759, 370, 2933, 471, 284, 330, 2393, 81, 101, 1923, 950, 225, 38, 37, 36, 40, 30, 284, 330, 6858, 878, 950, 330, 3055, 12632, 3746, 1365, 73, 11061, 225, 42, 38, 392, 9863, 2347, 1365, 73, 11061, 81, 35, 43, 42, 38, 392, 2231, 3184, 16191, 1365, 73, 11061, 225, 42, 38, 21684, 284, 330, 11030, 81, 268, 950, 540, 25, 3370, 11030, 47, 3222, 4474, 308, 3370, 1030, 1069, 47, 73, 11061, 42, 38, 829, 11952, 3370, 23918, 47, 73, 11061, 42, 38, 523, 3370, 32790, 5360, 42, 38, 47, 34, 30, 34, 30, 34, 30, 34, 30, 34, 30, 34, 30, 34, 829, 3370, 1347, 81, 15312, 1018, 370, 284, 330, 36099, 580, 950, 330, 73, 11061, 225, 42, 38, 370, 330, 426, 950, 330, 73, 11061, 225, 42, 38, 370, 284, 330, 8512, 14176, 950, 2933, 30, 330, 2250, 318, 950, 3177, 30, 330, 20847, 659, 950, 2933, 30, 284, 330, 8740, 1069, 580, 950, 308, 40, 37, 41, 42, 35, 37, 41, 32, 34, 30, 225, 40, 37, 39, 40, 41, 39, 36, 32, 37, 30, 225, 36, 43, 42, 32, 36, 39, 41, 36, 36, 37, 39, 40, 37, 471, 284, 330, 929, 4875, 950, 308, 35, 30, 225, 35, 30, 225, 43, 471, 284, 330, 105, 4430, 950, 316, 32, 1113, 26, 100, 25, 13644, 101, 29, 16249, 2550, 1524, 291, 47255, 57, 3746, 1365, 73, 11061, 225, 42, 38, 392, 284, 18131, 2347, 1365, 73, 11061, 81, 35, 43, 42, 38, 392, 291, 7856, 3184, 16191, 1365, 73, 11061, 225, 42, 38, 392, 40, 37, 41, 42, 35, 37, 41, 30, 36, 43, 42, 32, 36, 39, 41, 36, 36, 37, 39, 40, 37, 30, 324, 10757, 21822, 1365, 34759, 1461, 41, 34, 37, 34, 40428, 291, 10757, 21822, 1365, 34759, 1461, 40, 37, 36, 40, 40428, 284, 2773, 59, 8333, 1365, 14863, 42946, 392, 34, 30, 291, 10757, 21822, 1365, 34759, 1461, 42, 43, 34, 35, 40428, 284, 43894, 1365, 20221, 392, 34, 32, 34, 35, 41, 38, 39, 37, 36, 43, 36, 39, 35, 43, 43, 38, 37, 36, 42, 30, 291, 10757, 21822, 1365, 34759, 1461, 43, 35, 36, 36, 40428, 284, 10757, 21822, 1365, 34759, 1461, 38, 37, 36, 40, 32851, 284, 3330, 657, 203, 835, 301, 284, 330, 101, 1923, 950, 225, 37, 36, 35, 38, 34, 30, 284, 330, 2393, 81, 426, 950, 2726, 34759, 370, 3177, 471, 284, 330, 2393, 81, 101, 1923, 950, 225, 37, 36, 35, 38, 34, 30, 284, 330, 6858, 878, 950, 308, 291, 330, 2383, 60, 3746, 1365, 64, 1192, 42, 37, 517, 30397, 302, 30452, 26881, 392, 3055, 12632, 3746, 1365, 64, 1192, 42, 37, 47633, 291, 330, 9863, 2347, 1365, 25007, 81, 45602, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 7, 7, 7, 5, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 5, 8, 8, 6, 6, 4, 4, 7, 7, 7, 7, 7, 5, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 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, 5, 7, 7, 7, 7, 7, 7, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 5, 4, 4, 7, 7, 7, 5, 4, 4, 7, 7, 7, 5, 4, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 4, 4, 7, 7, 7, 5, 7, 6, 6, 7, 6, 6, 7, 6, 4, 4, 7, 7, 7, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 3, 4, 4, 7, 7, 7, 5, 6, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 5, 8, 8, 6, 6, 4, 4, 7, 7, 7, 7, 7, 5, 6, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 5, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 2, 1, 1, 2, 13, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 2, 17, 1, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 2, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 1, 1, 1, 1, 2, 23, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 1, 1, 2, 25, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 3, 1, 1, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 3, 3, 3, 1, 1, 2, 7, 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 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 261, 203, 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 465, 5741, 203, 465, 29590, 203, 465, 15798, 203, 465, 323, 108, 36, 203, 465, 2322, 203, 1070, 485, 1229, 449, 1188, 8745, 30, 36713, 83, 30, 4549, 30, 6693, 2105, 203, 1647, 81, 983, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 31113, 550, 280, 9254, 18146, 44, 2322, 32, 983, 32, 2524, 26, 1647, 81, 983, 30, 330, 858, 81, 605, 370, 18146, 27, 203, 4073, 280, 5741, 32, 10579, 463, 858, 81, 4537, 297, 2507, 83, 683, 203, 589, 622, 81, 2868, 761, 26, 12420, 711, 284, 442, 2322, 32, 983, 32, 2524, 26, 1433, 761, 32, 371, 1433, 1515, 1026, 12809, 27, 203, 823, 8862, 11467, 14919, 297, 2507, 83, 26, 37206, 32, 1031, 8695, 11467, 711, 284, 4719, 668, 280, 739, 463, 979, 312, 432, 322, 461, 372, 328, 544, 2473, 2998, 1157, 284, 665, 622, 81, 21218, 26, 784, 711, 291, 623, 630, 32, 371, 2238, 346, 619, 3443, 44, 324, 436, 3693, 328, 3443, 44, 400, 6761, 428, 1112, 436, 3594, 328, 8745, 32, 452, 81, 9941, 26, 1427, 547, 5729, 922, 2998, 346, 715, 415, 3594, 646, 328, 8862, 11467, 14919, 297, 2507, 83, 32, 4048, 668, 79, 284, 665, 1156, 1657, 3207, 784, 711, 291, 415, 330, 1322, 25, 646, 328, 630, 3667, 2665, 26927, 324, 4082, 32, 1338, 440, 39614, 27619, 1334, 308, 15212, 1741, 1451, 432, 12827, 14451, 324, 630, 32, 1322, 280, 3632, 26, 35, 436, 3693, 328, 630, 32, 371, 81, 21218, 1157, 291, 442, 630, 32, 1322, 203, 823, 2108, 14919, 297, 2507, 83, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 878, 22792, 26, 784, 711, 291, 12905, 297, 2507, 83, 280, 8862, 11467, 14919, 297, 2507, 83, 26, 31113, 550, 463, 1816, 39, 34, 34, 32, 40019, 94, 3231, 32, 2858, 32, 13910, 36, 2847, 291, 296, 2868, 280, 622, 81, 2868, 761, 463, 858, 81, 878, 22792, 32, 2840, 683, 291, 36713, 83, 32, 21208, 8695, 11467, 32, 2853, 81, 22792, 26, 708, 317, 30, 12905, 297, 2507, 83, 27, 291, 630, 32, 6549, 26, 500, 32, 983, 32, 4658, 26, 708, 317, 490, 291, 12905, 297, 2507, 83, 36, 280, 36713, 83, 32, 21208, 8695, 11467, 26, 708, 317, 27, 291, 630, 32, 5299, 26, 668, 26, 4537, 297, 2507, 83, 471, 1149, 26, 4537, 297, 2507, 83, 36, 490, 284, 665, 894, 81, 2853, 81, 944, 81, 3452, 26, 784, 711, 291, 27619, 426, 280, 39187, 550, 463, 4537, 1622, 2507, 83, 32, 2858, 683, 291, 12905, 297, 2507, 83, 280, 8862, 11467, 14919, 297, 2507, 83, 26, 22792, 426, 27, 291, 3691, 88, 280, 622, 81, 2868, 761, 463, 5478, 81, 858, 32, 2219, 1226, 274, 683, 291, 12905, 297, 2507, 83, 32, 2853, 26, 2868, 88, 27, 291, 12905, 297, 2507, 83, 36, 280, 8862, 11467, 14919, 297, 2507, 83, 32, 944, 26, 2868, 88, 27, 291, 630, 32, 5299, 26, 1657, 26, 4537, 297, 2507, 83, 471, 2069, 26, 4537 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 3, 3, 2, 2, 3, 3, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 5, 7, 7, 7, 7, 5, 5, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 8, 8, 7, 8, 8, 8, 7, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 5, 4, 4, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 11, 10, 8, 8, 5, 5, 5, 7, 7, 7, 7, 7, 7, 10, 12, 11, 12, 12, 12, 18, 19, 19, 19, 18, 19, 18, 17, 16, 15, 14, 11, 11, 12, 13, 13, 13, 15, 15, 15, 15, 15, 14, 15, 15, 11, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 6, 6, 6, 7, 8, 8, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 8, 8, 10, 11, 10, 11, 11, 11, 13, 14, 14, 14, 13, 4, 4, 5, 6, 7, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 9, 8, 9, 9, 9, 7, 8, 8, 8, 7, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 9, 4, 4, 7, 7, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 10, 10, 10, 9, 7, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 8, 8, 7, 8, 7, 8, 8, 7, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 9, 9, 9, 8, 9, 8, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 10, 10, 10, 9, 7, 9, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 6, 6, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 12, 12, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 12, 12, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 1, 1, 2, 0, 13, 13, 1, 1, 1, 1, 2, 0, 1, 2, 2, 13, 13, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2322, 203, 465, 296, 31501, 203, 1070, 296, 31501, 32, 2304, 1188, 622, 81, 1357, 81, 2851, 81, 2468, 30, 281, 466, 203, 1070, 296, 31501, 1188, 617, 203, 50, 48020, 32, 27421, 346, 203, 589, 622, 81, 41309, 81, 22582, 81, 965, 2262, 203, 202, 6690, 280, 622, 81, 41309, 81, 2848, 346, 203, 202, 1357, 81, 1956, 280, 13597, 32, 38563, 81, 1357, 81, 1956, 346, 203, 202, 601, 81, 2468, 280, 622, 81, 1357, 81, 2851, 81, 2468, 26, 1815, 27, 766, 357, 202, 29, 25687, 3515, 47, 22083, 1978, 32, 5522, 32, 27357, 32, 10181, 81, 4018, 32, 10181, 81, 41309, 32, 41309, 81, 4383, 20, 203, 202, 965, 280, 13597, 32, 1832, 81, 22582, 81, 965, 26, 1357, 81, 1956, 30, 442, 81, 2468, 27, 203, 202, 601, 301, 357, 202, 20, 965, 563, 1984, 30, 357, 202, 20, 678, 563, 1326, 81, 1956, 32, 678, 30, 357, 202, 20, 7241, 563, 1326, 81, 1956, 32, 7241, 30, 203, 202, 111, 203, 50, 48020, 32, 27421, 26, 4568, 81, 17020, 47, 1815, 27, 203, 589, 6278, 1501, 81, 4383, 26, 10772, 81, 1956, 47, 2521, 30, 646, 81, 23924, 47, 2700, 711, 203, 202, 1070, 6278, 1501, 1188, 2043, 203, 202, 325, 646, 646, 81, 23924, 44, 357, 202, 325, 296, 31501, 32, 1199, 32, 371, 81, 853, 440, 11669, 10702, 392, 1665, 30, 313, 41309, 81, 3560, 81, 678, 46825, 10772, 81, 1956, 44, 294, 355, 202, 11327, 280, 225, 35, 355, 202, 1436, 280, 313, 39567, 2857, 6660, 3107, 355, 202, 6690, 280, 622, 81, 41309, 81, 2848, 346, 355, 202, 6690, 32, 470, 81, 1357, 81, 1956, 26, 48020, 32, 1199, 32, 371, 81, 853, 440, 11669, 10702, 392, 1665, 30, 313, 41309, 81, 3560, 81, 678, 2113, 12494, 202, 48020, 32, 1199, 32, 371, 81, 853, 440, 11669, 10702, 392, 1665, 30, 313, 41309, 81, 3560, 81, 7241, 2131, 355, 202, 3560, 81, 1956, 280, 13597, 32, 38563, 81, 3560, 81, 1956, 346, 355, 202, 48020, 32, 1199, 32, 470, 81, 853, 440, 11669, 10702, 392, 313, 11669, 10702, 392, 313, 41309, 81, 3560, 81, 678, 392, 2857, 81, 1956, 32, 678, 27, 355, 202, 48020, 32, 1199, 32, 470, 81, 853, 440, 11669, 10702, 392, 313, 11669, 10702, 392, 313, 41309, 81, 3560, 81, 7241, 392, 2857, 81, 1956, 32, 7241, 27, 355, 202, 48020, 32, 1199, 32, 470, 81, 853, 440, 11669, 10702, 392, 313, 11669, 10702, 392, 313, 41309, 81, 3560, 81, 11327, 392, 6660, 27, 355, 202, 41309, 81, 1580, 280, 2043, 32, 39567, 1486, 26, 6690, 27, 355, 202, 1270, 44, 603, 202, 41309, 81, 1580, 32, 761, 81, 1297, 81, 6175, 440, 2536, 657, 355, 202, 7343, 44, 603, 202, 4617, 357, 202, 1824, 44, 355, 202, 11327, 280, 225, 34, 355, 202, 1436, 280, 313, 15095, 8258, 6512, 5294, 1596, 4056, 3107, 203, 202, 1824, 44, 357, 202, 11327, 280, 225, 34, 357, 202, 1436, 280, 313, 39567, 8258, 646, 23184, 3107, 203, 202, 48020, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 5, 5, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 5, 5, 7, 8, 8, 8, 8, 8, 7, 3, 3, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 9, 8, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 5, 5, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 3, 3, 4, 4, 5, 5, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 6, 8, 8, 7, 8, 5, 5, 5, 8, 8, 8, 6, 8, 8, 7, 8, 5, 5, 5, 5, 0, 2, 5, 4, 5, 4, 6, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 5, 5, 5, 4, 5, 3, 3, 5, 5, 4, 5, 3, 2, 2, 4, 4, 6, 4, 4, 3, 3, 4, 4, 5, 6, 6, 4, 4, 4, 6, 6, 11, 10, 11, 9, 10, 10, 10, 9, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 11, 8, 8, 8, 6, 6, 6, 6, 10, 9, 9, 10, 7, 7, 10, 9, 9, 11, 11, 11, 11, 7, 7, 10, 9, 9, 11, 11, 11, 11, 11, 7, 7, 11, 10, 11, 11, 11, 11, 11, 10, 14, 13, 14, 12, 13, 13, 13, 12, 14, 14, 14, 12, 12, 12, 14, 14, 14, 14, 14, 14, 10, 10, 14, 13, 14, 12, 13, 13, 13, 12, 14, 14, 14, 12, 12, 12, 14, 14, 14, 14, 14, 14, 7, 7, 10, 10, 10, 9, 9, 11, 12, 12, 12, 12, 12, 11, 7, 7, 12, 11, 12, 10, 11, 11, 11, 10, 12, 12, 12, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 12, 12, 11, 12, 10, 7, 7, 12, 11, 12, 10, 11, 11, 11, 10, 12, 12, 12, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 12, 12, 11, 12, 10, 7, 7, 12, 11, 12, 10, 11, 11, 11, 10, 12, 12, 12, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 10, 7, 7, 10, 10, 10, 9, 9, 11, 12, 12, 11, 12, 11, 7, 7, 8, 8, 8, 8, 13, 13, 13, 12, 13, 13, 13, 13, 13, 12, 14, 14, 8, 8, 9, 9, 9, 9, 11, 6, 6, 7, 7, 7, 7, 11, 10, 10, 11, 8, 8, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 5, 5, 5, 9, 8, 8, 9, 6, 6, 9, 8, 8, 10, 10, 10, 10, 10, 3, 3, 8, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 4, 4, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 3, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 5, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 6, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 7, 2, 1, 3, 3, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 7, 2, 1, 3, 3, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 9, 9, 9, 9, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 9, 9, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0 ]
[ 465, 23978, 203, 465, 2322, 203, 1070, 3995, 1188, 10477, 410, 203, 2418, 280, 225, 37, 203, 10445, 280, 225, 41, 203, 6513, 280, 225, 39, 203, 10765, 280, 225, 43, 203, 14769, 81, 3197, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 823, 5903, 6437, 26, 978, 3626, 32, 14000, 32, 10792, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2815, 81, 2705, 30, 827, 30, 6983, 711, 291, 23978, 32, 14000, 32, 10792, 3667, 1664, 3207, 784, 27, 291, 630, 32, 893, 280, 23978, 32, 893, 32, 944, 26, 681, 474, 5608, 1645, 683, 291, 630, 32, 6587, 280, 630, 32, 893, 32, 371, 81, 6587, 346, 291, 630, 32, 6587, 32, 1393, 1873, 280, 2815, 81, 2705, 291, 630, 32, 1978, 81, 1877, 81, 1003, 280, 225, 34, 291, 630, 32, 3462, 280, 630, 32, 6587, 32, 3462, 291, 630, 32, 1393, 280, 630, 32, 6587, 32, 1393, 291, 630, 32, 990, 280, 630, 32, 6587, 32, 990, 291, 630, 32, 1873, 280, 630, 32, 6587, 32, 1873, 291, 630, 32, 7354, 280, 6983, 291, 630, 32, 681, 280, 827, 291, 630, 32, 7670, 280, 10477, 410, 26, 35, 30, 39, 27, 284, 665, 1974, 26, 784, 30, 14442, 30, 11615, 711, 291, 630, 32, 1393, 280, 630, 32, 6587, 32, 1393, 291, 630, 32, 1873, 280, 630, 32, 6587, 32, 1873, 291, 630, 32, 990, 280, 630, 32, 6587, 32, 990, 291, 630, 32, 3462, 280, 630, 32, 6587, 32, 3462, 291, 415, 14442, 610, 330, 10630, 950, 324, 415, 630, 32, 7354, 610, 20169, 44, 400, 630, 32, 6587, 32, 1873, 1454, 225, 35, 319, 630, 32, 7670, 400, 415, 630, 32, 990, 848, 11615, 44, 528, 630, 32, 9833, 346, 324, 4348, 630, 32, 7354, 610, 17789, 44, 400, 630, 32, 6587, 32, 1873, 5912, 225, 35, 319, 630, 32, 7670, 400, 415, 630, 32, 1873, 333, 225, 34, 44, 528, 630, 32, 9833, 346, 291, 4348, 14442, 610, 330, 10163, 950, 324, 415, 630, 32, 7354, 610, 10161, 44, 400, 630, 32, 6587, 32, 1393, 5912, 225, 35, 319, 630, 32, 7670, 400, 415, 630, 32, 1393, 333, 225, 37, 34, 44, 528, 630, 32, 9833, 346, 324, 4348, 630, 32, 7354, 610, 29886, 44, 400, 630, 32, 6587, 32, 1393, 1454, 225, 35, 319, 630, 32, 7670, 400, 415, 630, 32, 3462, 848, 11615, 44, 528, 630, 32, 9833, 346, 284, 665, 10156, 26, 784, 711, 291, 415, 630, 32, 7354, 610, 20169, 44, 324, 630, 32, 7354, 280, 17789, 291, 4348, 630, 32, 7354, 610, 17789, 44, 324, 630, 32, 7354, 280, 20169, 291, 4348, 630, 32, 7354, 610, 10161, 44, 324, 630, 32, 7354, 280, 29886, 291, 4348, 630, 32, 7354, 610, 29886, 44, 324, 630, 32, 7354, 280, 10161, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 8, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 10, 9, 9, 11, 11, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 8, 9, 7, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 9, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 5, 6, 6, 8, 8, 5, 5, 7, 9, 10, 8, 8, 7, 7, 7, 12, 13, 11, 12, 10, 10, 12, 11, 11, 12, 13, 8, 8, 9, 11, 12, 10, 10, 9, 9, 9, 13, 14, 13, 7, 7, 8, 10, 11, 9, 9, 8, 8, 8, 13, 14, 12, 13, 11, 11, 13, 12, 12, 13, 14, 9, 9, 10, 12, 13, 11, 11, 12, 10, 10, 10, 14, 15, 14, 5, 5, 6, 7, 7, 9, 9, 6, 6, 8, 10, 11, 9, 9, 8, 8, 8, 13, 14, 12, 13, 11, 11, 13, 12, 12, 13, 14, 9, 9, 10, 12, 13, 11, 11, 12, 12, 10, 10, 10, 14, 15, 14, 8, 8, 9, 11, 12, 10, 10, 9, 9, 9, 14, 15, 13, 14, 12, 12, 14, 13, 13, 14, 15, 10, 10, 11, 13, 14, 12, 12, 11, 11, 11, 15, 16, 15, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 9, 10, 8, 8, 5, 5, 6, 8, 9, 7, 7, 6, 6, 6, 10, 11, 9, 9, 5, 5, 6, 8, 9, 7, 7, 6, 6, 6, 10, 11, 9, 9, 5, 5, 6, 8, 9, 7, 7, 6, 6, 6, 10, 11, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 8, 8, 1, 2, 0, 0, 0, 2, 1, 2, 2, 8, 8, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 3, 1, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 4, 0, 2, 1, 1, 4, 4, 4, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 4, 0, 2, 1, 1, 4, 4, 4, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 2, 1, 1, 4, 4, 4, 0, 2, 0, 0, 0, 0, 5, 0, 2, 1, 1, 5, 5, 5, 0, 2, 0, 0, 0, 0, 6, 0, 2, 1, 1, 6, 6, 6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 17787, 203, 465, 12190, 17590, 203, 465, 316, 203, 1070, 12190, 17590, 32, 2282, 1188, 1560, 81, 452, 81, 410, 30, 4483, 81, 1648, 81, 7288, 81, 452, 81, 466, 9841, 284, 10061, 81, 13707, 203, 1070, 12190, 17590, 32, 530, 1188, 5393, 924, 203, 1070, 12190, 17590, 32, 8524, 1188, 5592, 8358, 1356, 203, 589, 622, 81, 39580, 26, 8358, 81, 1851, 711, 284, 540, 280, 316, 32, 1903, 26, 291, 313, 2009, 385, 1479, 79, 8169, 110, 2946, 8169, 110, 371, 5015, 110, 297, 5015, 110, 470, 5015, 7283, 24183, 47, 38131, 392, 16215, 81, 1851, 30, 316, 32, 59, 27, 284, 415, 540, 44, 291, 442, 26, 100, 32, 6332, 346, 6448, 35, 1130, 284, 813, 44, 291, 442, 26, 2521, 27, 203, 589, 617, 2956, 81, 311, 7230, 81, 8358, 81, 1959, 26, 1959, 30, 12190, 81, 2067, 711, 284, 3124, 280, 313, 1868, 7735, 1330, 3304, 3107, 284, 415, 12190, 81, 2067, 1114, 371, 81, 1580, 81, 1648, 81, 7288, 346, 333, 1411, 32, 887, 81, 1648, 44, 291, 3124, 280, 313, 2272, 1411, 438, 1755, 3304, 328, 313, 766, 324, 313, 4460, 17590, 1503, 354, 109, 34, 111, 556, 6125, 2296, 1643, 26, 324, 4483, 81, 1648, 81, 7288, 81, 452, 81, 466, 26, 1959, 32, 887, 81, 1648, 490, 284, 3636, 5393, 924, 26, 2076, 27, 203, 823, 25189, 1339, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 203, 823, 5393, 44, 284, 665, 1156, 1664, 3207, 784, 30, 617, 823, 30, 1411, 81, 426, 30, 353, 16215, 81, 1851, 30, 48558, 47, 2521, 30, 773, 426, 47, 2521, 30, 1115, 5321, 711, 291, 630, 1114, 823, 280, 617, 823, 16189, 630, 32, 823, 81, 426, 280, 617, 823, 3667, 426, 505, 291, 630, 32, 1959, 81, 426, 280, 1411, 81, 426, 16189, 630, 32, 8358, 81, 1851, 280, 16215, 81, 1851, 16189, 630, 32, 1427, 800, 280, 48558, 16189, 630, 32, 39580, 280, 773, 426, 16189, 630, 32, 887, 81, 1648, 280, 10306, 32, 371, 440, 887, 81, 1648, 392, 308, 1802, 34, 30, 225, 34, 30, 225, 34, 490, 16189, 630, 32, 4398, 280, 10306, 32, 371, 440, 4398, 392, 3177, 27, 16189, 630, 32, 1526, 81, 2416, 81, 1298, 280, 10306, 32, 371, 26, 324, 313, 1526, 81, 2416, 81, 1298, 392, 1665, 27, 16189, 630, 32, 17030, 280, 10306, 32, 371, 26, 324, 313, 17030, 392, 11544, 16189, 630, 32, 3648, 81, 1132, 280, 1605, 291, 630, 32, 1959, 81, 681, 280, 630, 1114, 371, 81, 1959, 81, 681, 346, 291, 415, 630, 32, 39580, 438, 1665, 44, 324, 630, 32, 39580, 280, 622, 81, 39580, 26, 784, 32, 8358, 81, 1851, 27, 291, 1201, 630, 32, 39580, 438, 646, 1665, 30, 313, 29888, 1330, 622, 2677, 636, 3107, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 10061, 81, 13707, 440, 1868, 26, 1959, 81, 426, 1057, 109, 34, 10047, 16215, 81, 1851, 1057, 109, 35, 15837, 392, 715, 630, 32, 1959, 81, 426, 30, 630, 32, 8358, 81, 1851, 27, 284, 665, 617, 371, 81, 1959 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 6, 6, 7, 8, 6, 2, 2, 3, 3, 3, 3, 6, 10, 9, 10, 9, 7, 9, 7, 3, 3, 4, 4, 4, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 4, 4, 5, 6, 6, 6, 3, 3, 3, 6, 6, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 11, 12, 12, 12, 10, 2, 2, 3, 5, 5, 6, 5, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 7, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 10, 9, 9, 10, 9, 9, 10, 9, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 8, 8, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 7, 8, 6, 6, 5, 5, 5, 9, 10, 8, 8, 10, 10, 10, 12, 11, 12, 12, 12, 10, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 1, 2, 1, 1, 1, 2, 6, 6, 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, 2, 1, 3, 3, 1, 1, 5, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 0, 1, 1, 1, 0, 8, 8, 1, 8, 8, 8, 0, 1, 1, 1, 2, 0, 0, 0, 9, 9, 9, 9, 9, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 2, 7, 7, 2, 2, 9, 2, 2, 2, 0, 11, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 3, 3, 3, 3, 3, 5, 3, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 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, 12, 0, 2, 1, 1, 12, 12, 12, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 13, 0, 2, 1, 1, 1, 13, 13, 1, 1, 1, 1, 1, 1, 3, 3, 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, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 3, 3, 2, 1, 1, 1 ]
[ 465, 5564, 378, 203, 465, 26313, 203, 823, 617, 1104, 2597, 26, 42183, 32, 1696, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 2176, 1104, 2597, 30, 630, 14585, 1664, 16369, 291, 630, 32, 605, 280, 2149, 203, 7921, 81, 14905, 280, 617, 1104, 2597, 346, 203, 823, 4448, 2597, 26, 1473, 711, 284, 477, 17614, 284, 665, 622, 81, 1357, 81, 2613, 26, 6933, 30, 636, 47, 2521, 711, 291, 415, 636, 438, 1665, 44, 324, 442, 27747, 81, 14905, 291, 813, 44, 324, 442, 27747, 81, 14905, 32, 605, 32, 37329, 26, 426, 30, 12797, 284, 477, 17614, 284, 665, 622, 81, 1700, 81, 1357, 26, 6933, 711, 291, 442, 5564, 378, 32, 371, 81, 1700, 81, 1357, 346, 284, 477, 17614, 284, 665, 4233, 81, 1357, 81, 2613, 26, 6933, 711, 291, 27747, 81, 14905, 32, 605, 280, 2149, 284, 665, 2164, 81, 1357, 26, 784, 30, 1326, 711, 291, 630, 32, 3815, 81, 1357, 81, 2613, 346, 291, 442, 1665, 284, 665, 2164, 81, 1986, 26, 784, 30, 1326, 30, 1789, 711, 291, 630, 32, 3815, 81, 1357, 81, 2613, 346, 291, 442, 1789, 284, 665, 2164, 81, 3893, 26, 784, 30, 1326, 30, 3756, 711, 16189, 630, 32, 3815, 81, 1357, 81, 2613, 346, 291, 442, 1665, 203, 589, 1326, 81, 10569, 26, 88, 711, 284, 665, 7767, 2740, 1132, 30, 1115, 5321, 711, 291, 12785, 81, 1132, 280, 1992, 26, 466, 30, 2181, 27, 291, 12785, 81, 5321, 280, 1992, 26, 466, 30, 11665, 26, 668, 3667, 669, 7642, 1992, 26, 668, 30, 8594, 26, 5321, 32, 40957, 35728, 1605, 490, 291, 3320, 81, 3494, 280, 428, 88, 3667, 1647, 7642, 296, 32, 1298, 81, 426, 79, 474, 12785, 81, 1132, 474, 12785, 81, 5321, 291, 3320, 81, 678, 280, 5608, 2473, 2524, 26, 2613, 81, 3494, 27, 291, 540, 2613, 280, 4448, 2597, 32, 371, 81, 1357, 81, 2613, 346, 291, 415, 3320, 81, 678, 328, 540, 2613, 32, 605, 44, 324, 442, 540, 2613, 32, 605, 32, 371, 26, 2613, 81, 678, 27, 291, 813, 44, 324, 1056, 280, 296, 2740, 1132, 30, 1115, 5321, 27, 324, 540, 2613, 32, 605, 77, 2613, 81, 678, 79, 280, 1056, 324, 442, 1056, 284, 442, 7767, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 6, 7, 7, 6, 6, 6, 8, 9, 9, 6, 6, 7, 7, 7, 9, 13, 13, 12, 13, 11, 12, 11, 12, 11, 11, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 8, 9, 9, 9, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 9, 9, 8, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 8, 10, 12, 11, 12, 12, 10, 12, 13, 12, 12, 14, 17, 16, 17, 16, 10, 10, 4, 4, 7, 7, 6, 6, 11, 10, 11, 11, 9, 10, 11, 11, 11, 9, 8, 8, 9, 9, 7, 7, 8, 8, 4, 4, 7, 7, 6, 6, 10, 9, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 7, 7, 6, 6, 8, 7, 8, 5, 5, 5, 7, 11, 10, 11, 9, 10, 9, 10, 10, 10, 9, 5, 5, 6, 6, 6, 9, 9, 11, 13, 11, 11, 13, 11, 7, 7, 12, 11, 12, 10, 11, 11, 11, 10, 9, 9, 7, 7, 8, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 4, 4, 1, 2, 1, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 0, 3, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 5, 0, 0, 1, 1, 0, 2, 2, 5, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 3226, 1193, 32, 8524, 1188, 1984, 4434, 203, 1070, 3226, 1193, 32, 8512, 27123, 32, 1439, 1188, 16281, 3465, 30, 4040, 81, 14247, 30, 4040, 81, 36794, 203, 1070, 3226, 1193, 32, 14806, 1188, 308, 284, 16281, 3465, 1625, 924, 30, 284, 16281, 3465, 18428, 28741, 30, 203, 27, 203, 1070, 3226, 1193, 32, 2645, 1188, 10634, 203, 1070, 3226, 1193, 32, 1040, 1188, 4082, 203, 505, 464, 505, 280, 2884, 2961, 53, 381, 392, 829, 203, 823, 3927, 53, 381, 26, 10632, 3465, 711, 284, 665, 1156, 1664, 3207, 324, 630, 30, 324, 4125, 81, 678, 30, 324, 5880, 1057, 1237, 32, 13948, 381, 605, 32, 508, 370, 324, 12841, 47, 5807, 81, 36794, 30, 324, 5868, 47, 5807, 81, 14247, 30, 324, 44028, 47, 2521, 30, 284, 8063, 16189, 2599, 26, 2961, 53, 381, 30, 630, 14585, 1664, 3207, 324, 12841, 47, 13627, 30, 5868, 47, 5457, 30, 44028, 47, 46466, 291, 829, 291, 630, 32, 1237, 81, 678, 280, 4125, 81, 678, 291, 630, 32, 4116, 280, 5880, 32, 7201, 24667, 291, 630, 32, 13627, 280, 12841, 291, 630, 32, 1237, 280, 6611, 101, 555, 23, 101, 33, 8512, 687, 33, 104, 35, 33, 1260, 25, 904, 308, 784, 32, 13627, 30, 630, 32, 4116, 27, 284, 665, 12266, 687, 26, 324, 630, 30, 324, 2467, 30, 324, 11615, 47, 2521, 30, 324, 10769, 47, 2521, 30, 324, 2898, 47, 2521, 30, 324, 11114, 81, 658, 47, 1815, 30, 324, 5868, 47, 2521, 30, 284, 8063, 16189, 2803, 280, 301, 324, 330, 678, 950, 630, 32, 1237, 81, 678, 30, 324, 330, 99, 950, 630, 32, 1643, 81, 800, 904, 2467, 30, 291, 320, 291, 415, 11615, 44, 324, 2803, 710, 11206, 785, 280, 11615, 291, 415, 11615, 44, 324, 2803, 710, 4189, 785, 280, 2898, 291, 415, 11615, 44, 324, 2803, 710, 7035, 785, 280, 10769, 291, 1984, 280, 25687, 2296, 2524, 1162, 784, 32, 1237, 30, 1984, 4434, 26, 2132, 2610, 291, 4082, 32, 2811, 4912, 101, 32, 8512, 687, 44, 904, 101, 392, 630, 3667, 823, 29215, 426, 7642, 1984, 27, 291, 442, 630, 1114, 2208, 81, 1260, 26, 324, 630, 1114, 1851, 81, 8512, 3465, 26, 965, 30, 5868, 47, 5457, 471, 11114, 81, 658, 291, 829, 284, 665, 10156, 26, 324, 630, 30, 324, 2467, 30, 324, 2898, 47, 2521, 30, 324, 11114, 81, 658, 47, 2700, 30, 324, 5868, 47, 2521, 30, 284, 8063, 16189, 2803, 280, 301, 324, 330, 678, 950, 630, 32, 1237, 81, 678, 30, 324, 330, 99, 950, 630, 1114, 44084, 81, 1493, 81, 452, 81, 800, 26, 1217, 471, 291, 320, 291, 415, 2898, 44, 324, 2803, 710, 4189, 785, 280, 2898, 291, 1984, 280, 25687, 2296, 2524, 1162, 784, 32, 1237, 30, 1984, 4434, 26, 2132, 2610, 291, 4082, 32, 2811, 4912, 101, 32, 9833, 44, 904, 101, 392, 630, 3667, 823, 29215, 426, 7642, 1984, 27, 291, 442, 630, 1114, 2208, 81, 1260, 26, 324, 630, 1114, 1851, 81, 8512, 3465, 26, 965, 30, 5868, 47, 5457, 471, 11114, 81, 658, 291, 829, 284, 665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 6, 6, 4, 4, 4, 5, 6, 6, 6, 4, 4, 4, 5, 6, 4, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 8, 8, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 3, 3, 6, 6, 7, 7, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 8, 10, 11, 11, 11, 9, 9, 7, 7, 7, 4, 4, 5, 5, 5, 5, 9, 11, 11, 8, 8, 4, 4, 5, 5, 5, 5, 9, 11, 11, 8, 8, 4, 4, 5, 5, 5, 5, 9, 11, 11, 8, 8, 4, 4, 6, 6, 10, 9, 8, 11, 10, 11, 9, 9, 11, 11, 12, 11, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 10, 10, 9, 9, 7, 7, 4, 4, 5, 7, 8, 8, 8, 7, 7, 7, 9, 10, 10, 10, 10, 9, 10, 9, 9, 10, 11, 9, 7, 8, 8, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 3, 3, 6, 6, 7, 7, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 8, 10, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 7, 7, 4, 4, 5, 5, 5, 5, 9, 11, 11, 8, 8, 4, 4, 6, 6, 10, 9, 8, 11, 10, 11, 9, 9, 11, 11, 12, 11, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 9, 10, 10, 9, 9, 7, 7, 4, 4, 5, 7, 8, 8, 8, 7, 7, 7, 9, 10, 10, 10, 10, 9, 10, 9, 9, 10, 11, 9, 7, 8, 8, 7, 7, 2, 2 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 4, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 11, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 3, 2, 2, 4, 4, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 7, 2, 2, 2, 2, 9, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 2, 13, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 0, 1, 2, 0, 0, 4, 4, 2, 2, 2, 2, 0, 1, 2, 0, 0, 4, 4, 3, 3, 3, 3, 0, 1, 2, 0, 0, 4, 4, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 4, 4, 6, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 3, 3, 1, 1, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 0, 1, 2, 0, 0, 4, 4, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 4, 4, 4, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 3, 3, 1, 1, 4, 4 ]
[ 1070, 8527, 32, 1199, 32, 6554, 1188, 2979, 81, 6231, 81, 9698, 203, 1070, 8527, 32, 8538, 32, 3378, 1188, 2926, 48869, 470, 81, 5792, 203, 1070, 8527, 32, 36287, 1188, 5668, 203, 1070, 337, 631, 317, 905, 1188, 312, 775, 203, 1070, 337, 631, 317, 905, 32, 24951, 32, 2304, 1188, 2908, 203, 1070, 337, 631, 317, 905, 32, 108, 2300, 32, 28497, 1188, 5605, 81, 3648, 203, 1070, 638, 8538, 1188, 35917, 2459, 1241, 203, 1070, 638, 3378, 1188, 35917, 2459, 203, 1070, 638, 3477, 1188, 10880, 619, 2297, 81, 8200, 203, 50, 3780, 81, 6231, 81, 9698, 203, 589, 10678, 500, 26, 1357, 30, 1619, 30, 1503, 30, 5624, 30, 8248, 81, 2816, 1057, 5848, 7831, 284, 415, 5624, 44, 291, 5624, 280, 5624, 32, 5729, 346, 284, 5624, 280, 312, 775, 32, 20753, 81, 29718, 32, 371, 26, 5134, 30, 312, 775, 32, 20753, 81, 2320, 27, 284, 7896, 280, 622, 81, 3477, 26, 1357, 30, 5624, 32, 1237, 81, 426, 30, 1503, 27, 284, 442, 2908, 26, 1357, 30, 330, 23403, 33, 421, 13573, 33, 20237, 81, 13482, 500, 32, 916, 370, 1750, 5053, 3477, 950, 7896, 1748, 203, 589, 622, 81, 3477, 26, 1357, 30, 5624, 30, 1503, 711, 284, 7275, 280, 1326, 32, 24162, 284, 22513, 280, 35917, 2459, 32, 5740, 32, 2029, 26, 725, 47, 1357, 32, 6870, 32, 314, 27, 284, 7896, 280, 428, 95, 436, 345, 328, 22513, 3083, 415, 345, 32, 1647, 328, 2297, 81, 8200, 461, 345, 32, 24576, 438, 646, 1665, 79, 284, 7896, 280, 428, 95, 436, 345, 328, 7896, 3083, 415, 646, 345, 32, 32044, 556, 7275, 328, 345, 32, 32044, 32, 2998, 7662, 284, 7896, 280, 8594, 26, 3477, 30, 1202, 47, 5962, 816, 44, 816, 32, 24576, 27, 284, 442, 428, 1647, 81, 8200, 77, 95, 32, 1647, 729, 1357, 30, 5624, 30, 1503, 27, 324, 436, 345, 328, 7896, 79, 203, 50, 2300, 81, 3648, 203, 50, 3780, 81, 6231, 81, 9698, 203, 589, 2297, 81, 2300, 26, 1357, 711, 284, 16597, 280, 1326, 32, 6870, 284, 22513, 280, 35917, 2459, 32, 5740, 32, 1294, 27265, 291, 10246, 319, 645, 21067, 81, 3477, 4998, 1123, 81, 314, 280, 904, 101, 291, 17076, 6936, 19404, 2756, 1181, 30, 19404, 37616, 428, 6870, 32, 314, 1130, 284, 22513, 32, 8234, 280, 2933, 10065, 617, 5207, 81, 1199, 81, 363, 81, 8200, 26, 11790, 30, 16597, 32, 314, 27, 284, 3720, 280, 2926, 48869, 470, 81, 5792, 26, 17323, 2459, 30, 2234, 47, 17323, 2459, 1241, 30, 1378, 883, 81, 2560, 47, 1815, 30, 6717, 47, 34, 27, 284, 2234, 470, 280, 3720, 26, 1357, 32, 3705, 556, 1665, 30, 36104, 47, 11790, 27, 284, 415, 1326, 32, 1959, 610, 330, 3705, 25, 461, 2234, 470, 32, 297, 81, 1327, 2262, 291, 2234, 470, 32, 2853, 346, 291, 442, 5668, 463, 21533, 32, 1647, 81, 2300, 683, 284, 442, 2908, 26, 291, 1326, 30, 330, 18244, 81, 21533, 33, 1647, 81, 2300, 32, 916, 370, 5053, 599, 470, 950, 2234, 470, 1748, 203, 589, 617, 5207, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 2, 2, 3, 3, 0, 2, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 6, 6, 2, 2, 4, 4, 4, 4, 7, 7, 9, 10, 9, 3, 3, 5, 5, 9, 8, 9, 9, 9, 7, 8, 7, 8, 7, 7, 9, 8, 9, 9, 9, 7, 3, 3, 5, 5, 7, 7, 7, 8, 7, 7, 8, 9, 9, 9, 7, 7, 7, 3, 3, 4, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 10, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 5, 6, 2, 2, 4, 4, 8, 7, 8, 6, 7, 6, 8, 7, 10, 9, 10, 8, 9, 6, 2, 2, 4, 4, 6, 5, 6, 6, 6, 5, 5, 6, 9, 10, 8, 8, 9, 9, 7, 7, 9, 10, 8, 8, 8, 5, 2, 2, 4, 4, 6, 5, 6, 6, 6, 5, 5, 6, 8, 9, 10, 7, 7, 8, 8, 11, 12, 10, 11, 10, 2, 2, 4, 4, 6, 7, 6, 6, 7, 8, 8, 8, 8, 9, 10, 6, 2, 2, 3, 7, 7, 7, 6, 8, 7, 8, 6, 7, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 4, 0, 2, 3, 3, 3, 1, 2, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5, 5, 6, 7, 3, 3, 5, 5, 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, 8, 3, 3, 6, 7, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 8, 6, 3, 3, 5, 5, 7, 7, 7, 7, 7, 8, 8, 7, 7, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 7, 7, 8, 9, 7, 3, 3, 6, 5, 5, 7, 10, 9, 10, 8, 8, 7, 7, 8, 9, 7, 3, 3, 4, 7, 8, 6, 6, 8, 8, 5, 5, 8, 7, 8, 8, 8, 7, 4, 4, 9, 8, 9, 8, 5, 5, 6, 8, 10, 10, 10, 10, 10, 10, 3, 3, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 10, 10, 10, 8, 9, 7, 0, 1, 1, 2, 2 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 8, 8, 3, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 9, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 9, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 1, 2, 2, 2, 2, 2, 2, 3, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 2, 2, 2, 2, 2, 2, 3, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 3, 2, 1, 4, 4, 5, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 11, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 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, 2, 1, 0, 1, 2, 3, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 6, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 6, 6, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 5, 0, 12, 12, 1, 1 ]
[ 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 638, 1439, 1188, 3772, 1243, 203, 823, 9130, 1572, 26, 3378, 32, 1572, 711, 284, 665, 622, 81, 37741, 26, 784, 711, 291, 442, 2599, 26, 2633, 1572, 30, 630, 547, 371, 81, 37741, 922, 2029, 26, 2946, 47, 2700, 27, 203, 823, 9130, 26, 44115, 711, 284, 636, 280, 4549, 32, 16357, 26, 1199, 81, 1055, 47, 1815, 30, 1769, 81, 1322, 47, 35, 34, 36, 38, 27, 284, 2664, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 284, 4684, 280, 9130, 1572, 346, 284, 1169, 81, 3963, 280, 4549, 32, 1572, 346, 284, 665, 1156, 9941, 3207, 784, 711, 291, 415, 630, 32, 2946, 44, 324, 442, 330, 1598, 9130, 44, 19553, 1643, 26, 784, 32, 426, 27, 291, 442, 1044, 25, 34917, 1643, 26, 784, 32, 426, 27, 284, 665, 617, 28997, 81, 678, 26, 784, 711, 291, 442, 3677, 26, 784, 32, 426, 474, 596, 26, 784, 32, 2946, 490, 284, 477, 2433, 284, 665, 617, 314, 26, 784, 711, 291, 442, 630, 32, 426, 32, 5729, 346, 284, 477, 17614, 284, 665, 2454, 26, 6933, 30, 706, 30, 2664, 47, 2700, 711, 291, 1596, 44, 324, 442, 9011, 32, 464, 81, 3963, 32, 371, 26, 2946, 47, 2946, 30, 636, 47, 605, 27, 291, 2940, 9011, 32, 34747, 44, 324, 442, 1665, 284, 443, 11985, 44, 291, 5799, 81, 36202, 280, 2726, 426, 370, 330, 2946, 683, 291, 19404, 280, 2726, 426, 370, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 11, 12, 12, 11, 11, 11, 10, 10, 10, 9, 8, 7, 9, 8, 9, 7, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 6, 6, 8, 8, 7, 8, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 7, 11, 11, 11, 11, 10, 9, 11, 10, 11, 9, 4, 4, 5, 9, 9, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 10, 9, 10, 8, 8, 10, 12, 11, 12, 10, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 9, 10, 8, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 6, 7, 5, 4, 4, 6, 6, 6, 8, 11, 12, 12, 12, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 6, 6, 7, 8, 9, 7, 7, 7, 9, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 9, 9, 7, 9, 9, 4, 4, 6, 6, 9, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 3, 3, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 1, 2, 1, 0, 1, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 4, 4, 1, 6, 6, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 4, 4, 1, 7, 7, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 3, 1, 2, 3, 3, 3, 0, 4, 4, 8, 8, 8, 8, 0, 0, 0, 0, 1, 2, 2, 1, 2, 3, 3, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15471, 1188, 372, 81, 4948, 203, 589, 10563, 308, 84, 30, 312, 711, 284, 1056, 280, 1605, 284, 436, 1994, 328, 323, 44, 291, 415, 646, 1994, 328, 312, 44, 324, 1056, 32, 1689, 308, 2543, 27, 284, 442, 1056, 203, 589, 20877, 308, 470, 35, 30, 739, 36, 711, 284, 1056, 280, 1605, 284, 436, 354, 328, 739, 35, 44, 291, 415, 354, 328, 739, 36, 44, 324, 1056, 32, 1689, 308, 104, 27, 284, 442, 1056, 203, 589, 4304, 308, 4884, 30, 7622, 711, 284, 5532, 280, 372, 81, 4948, 308, 4884, 27, 284, 7622, 280, 372, 81, 4948, 308, 9365, 27, 284, 436, 309, 328, 5532, 44, 291, 415, 646, 309, 328, 7622, 44, 324, 442, 3177, 284, 442, 2933, 203, 589, 5040, 308, 83, 30, 323, 711, 284, 442, 4304, 308, 83, 30, 323, 27, 461, 4304, 308, 84, 30, 312, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 6, 7, 7, 5, 5, 5, 9, 10, 8, 10, 9, 2, 2, 3, 0, 1, 1, 1, 3, 3, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 4, 3, 3, 3, 5, 6, 6, 7, 5, 5, 5, 9, 10, 8, 10, 9, 2, 2, 3, 0, 1, 1, 1, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 5, 7, 6, 2, 2, 4, 4, 6, 6, 5, 7, 6, 2, 2, 3, 3, 3, 3, 3, 3, 5, 6, 7, 7, 5, 5, 5, 7, 2, 2, 3, 0, 1, 1, 1, 3, 2, 2, 2, 1, 1, 3, 5, 7, 6, 6, 6, 4, 4, 5, 7, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 4, 4, 2, 0, 2, 2, 2, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 4, 4, 2, 0, 3, 3, 3, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 4, 4, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 4, 4, 3, 0, 4, 4, 4, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 1524, 203, 1559, 203, 1647, 44, 10635, 81, 3337, 81, 97, 28676, 203, 1648, 81, 11043, 44, 313, 36, 32, 38, 20, 203, 4021, 81, 2310, 44, 4784, 8522, 3488, 432, 600, 546, 2231, 56, 2568, 1980, 267, 677, 10309, 4643, 59, 7578, 3711, 34789, 32, 203, 2310, 44, 284, 429, 4784, 8522, 3488, 432, 600, 546, 2231, 56, 2568, 1980, 267, 677, 10309, 4643, 59, 7578, 3711, 34789, 32, 203, 2116, 44, 1910, 5793, 311, 15923, 11931, 67, 5793, 311, 15923, 27, 203, 8886, 44, 284, 429, 1348, 2297, 7171, 322, 3706, 2957, 2664, 2719, 526, 5887, 544, 322, 6562, 3298, 3998, 12852, 32, 284, 429, 32369, 4611, 3387, 438, 390, 26, 1299, 2957, 547, 284, 429, 1348, 2297, 2329, 4847, 623, 390, 26, 1696, 27, 12215, 436, 20239, 4654, 12254, 32, 203, 2184, 44, 284, 2568, 44, 291, 3048, 44, 324, 429, 13529, 636, 432, 2568, 30, 595, 32, 87, 32, 225, 38, 34, 3055, 35, 33, 34, 33, 35, 34, 32, 291, 2129, 44, 861, 284, 2164, 81, 314, 44, 291, 3048, 44, 324, 429, 19009, 312, 2164, 2484, 32, 1090, 886, 786, 438, 600, 4991, 540, 7398, 645, 225, 35, 372, 225, 38, 36, 43, 38, 43, 40, 41, 36, 43, 39, 32, 291, 2129, 44, 861, 284, 5951, 44, 291, 3048, 44, 324, 429, 546, 28676, 5951, 5746, 623, 458, 337, 28676, 2164, 32, 1090, 5381, 2078, 884, 312, 802, 30, 14186, 619, 600, 4600, 2965, 1090, 308, 91, 32, 87, 32, 313, 34, 32, 34, 32, 34, 32, 34, 657, 556, 619, 600, 4991, 3733, 225, 35, 461, 225, 38, 36, 43, 38, 43, 40, 41, 36, 43, 39, 32, 291, 2129, 44, 861, 284, 7847, 44, 291, 3048, 44, 324, 429, 886, 7847, 5746, 623, 458, 2568, 32, 1090, 5381, 2078, 884, 600, 4991, 328, 322, 2155, 645, 225, 35, 372, 225, 40, 39, 39, 37, 39, 32, 284, 17964, 81, 7568, 44, 291, 3048, 44, 324, 429, 3717, 3733, 11926, 3117, 661, 17964, 19318, 32, 1090, 5381, 2078, 884, 600, 4991, 328, 322, 2155, 645, 225, 35, 372, 225, 40, 39, 39, 37, 39, 32, 284, 13521, 81, 7568, 44, 291, 3048, 44, 324, 429, 3717, 7898, 600, 337, 28676, 18547, 38600, 436, 312, 17964, 1090, 6882, 2670, 22167, 299, 2835, 1544, 11138, 3865, 32, 5381, 2078, 884, 600, 1090, 4991, 328, 322, 2155, 645, 225, 35, 372, 225, 36, 37, 39, 43, 36, 40, 34, 34, 34, 32, 284, 32740, 81, 3337, 44, 291, 3048, 44, 324, 429, 15448, 372, 861, 1098, 9454, 458, 2568, 645, 20867, 1090, 37884, 1305, 19318, 32, 5381, 2078, 884, 330, 1508, 25, 461, 330, 1870, 2473, 291, 827, 44, 1560, 291, 1244, 44, 330, 1347, 25, 284, 3796, 81, 2816, 44, 291, 3048, 44, 324, 429, 19009, 322, 9156, 827, 32, 291, 16682, 44, 2107, 4108, 370, 330, 1693, 370, 330, 32354 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 505, 2116, 505, 280, 330, 22012, 50, 2175, 32, 508, 308, 29338, 1813, 788, 624, 278, 9905, 203, 465, 821, 4775, 203, 465, 2322, 203, 465, 22977, 203, 465, 5237, 203, 465, 29590, 203, 465, 15798, 203, 81, 858, 81, 1647, 280, 15798, 203, 1270, 44, 334, 1188, 16539, 334, 617, 7100, 17222, 81, 9856, 81, 25431, 280, 2933, 203, 7343, 44, 334, 1188, 298, 1676, 36, 334, 617, 7100, 17222, 81, 9856, 81, 25431, 280, 3177, 203, 57, 3765, 81, 10843, 81, 7416, 81, 2474, 280, 330, 57, 3765, 81, 10843, 25, 203, 1296, 81, 26499, 280, 2322, 32, 426, 610, 330, 566, 25, 203, 1296, 81, 12721, 57, 7638, 280, 2322, 32, 426, 610, 330, 28950, 25, 461, 330, 12721, 57, 7638, 25, 328, 2322, 32, 26319, 8532, 34, 79, 203, 7233, 280, 617, 858, 81, 1647, 32, 7233, 261, 203, 81, 4555, 81, 1110, 280, 5053, 24707, 81, 1855, 81, 1515, 950, 2322, 32, 983, 32, 7781, 26, 3731, 32, 6118, 77, 34, 5727, 1802, 330, 24707, 81, 1832, 81, 1515, 950, 2322, 32, 983, 32, 7781, 26, 3731, 32, 6118, 77, 34, 1130, 111, 203, 81, 24707, 81, 4545, 81, 586, 81, 12881, 280, 3177, 203, 589, 617, 4480, 2185, 7038, 57, 1006, 4629, 26, 6118, 711, 334, 3649, 617, 24707, 81, 4545, 81, 586, 81, 12881, 18256, 415, 617, 24707, 81, 4545, 81, 586, 81, 12881, 44, 284, 442, 334, 617, 24707, 81, 4545, 81, 586, 81, 12881, 280, 2933, 334, 436, 4655, 328, 617, 4555, 81, 1110, 44, 284, 415, 4655, 32, 7607, 346, 328, 2322, 32, 12757, 44, 397, 617, 4555, 81, 1110, 77, 4555, 79, 280, 2322, 32, 12757, 77, 4555, 32, 7607, 7662, 284, 595, 280, 225, 35, 10065, 2218, 595, 333, 2069, 26, 6118, 711, 397, 5202, 280, 11363, 25, 474, 4655, 474, 34020, 397, 415, 6184, 77, 91, 997, 15990, 26, 4254, 711, 291, 617, 4555, 81, 1110, 77, 4555, 79, 280, 6184, 77, 91, 1674, 1657, 26, 4254, 711, 79, 291, 3555, 6184, 77, 91, 79, 291, 1626, 397, 813, 44, 291, 595, 1454, 225, 35, 203, 589, 1390, 5260, 26, 4555, 711, 334, 617, 4480, 2185, 7038, 57, 1006, 4629, 26, 3731, 32, 6118, 27, 334, 442, 617, 4555, 81, 1110, 77, 4555, 79, 203, 589, 1390, 2028, 2976, 2262, 334, 442, 2322, 32, 983, 32, 21379, 26, 936, 5260, 463, 24707, 81, 1855, 81, 1515, 2847, 203, 589, 1390, 3313, 2976, 2262, 334, 442, 2322, 32, 983, 32, 21379, 26, 936, 5260, 463, 24707, 81, 1832, 81, 1515, 2847, 203, 81, 1433, 81, 1515, 280, 1665, 203, 589, 617, 4913, 44964, 2262, 334, 415, 617, 1433, 81, 1515, 44, 284, 22977, 32, 100, 41718, 2176, 1433, 81, 1515, 30, 5079, 81, 4275, 47, 1815, 27, 203, 269, 4775, 32, 3317, 2176, 4913, 44964, 27, 203, 589, 1390, 44964, 2262, 334, 3649, 617, 1433, 81, 1515, 334, 415, 646, 617, 1433, 81, 1515, 44, 284, 617, 1433, 81, 1515, 280, 29590, 32, 4765, 86, 1433, 346, 334, 442, 617, 1433, 81, 1515, 203, 589, 1390, 1006, 23928, 1215, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 0, 1, 1, 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, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 3, 3, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 4, 7, 8, 7, 6, 5, 0, 3, 2, 2, 4, 4, 4, 3, 4, 0, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 4, 7, 8, 6, 7, 6, 9, 8, 9, 7, 8, 7, 3, 3, 6, 6, 6, 6, 6, 6, 4, 7, 8, 6, 7, 6, 9, 8, 9, 7, 8, 7, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 8, 9, 8, 6, 6, 7, 8, 5, 5, 5, 10, 10, 10, 9, 10, 9, 8, 8, 10, 11, 9, 12, 11, 12, 11, 4, 4, 6, 6, 7, 4, 4, 5, 6, 6, 8, 9, 8, 5, 5, 8, 8, 12, 10, 10, 9, 9, 6, 6, 7, 10, 11, 10, 10, 9, 10, 9, 7, 7, 12, 12, 12, 11, 12, 11, 10, 10, 12, 13, 12, 14, 14, 15, 14, 11, 8, 8, 9, 10, 11, 10, 8, 8, 7, 7, 8, 8, 8, 11, 11, 12, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 7, 6, 7, 5, 2, 2, 3, 5, 5, 5, 4, 5, 4, 0, 1, 1, 2, 2, 2, 1, 1, 3, 6, 7, 5, 6, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 1, 1, 3, 6, 7, 5, 6, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 7, 8, 8, 7, 8, 8, 8, 7, 7, 9, 9, 8, 9, 7, 0, 4, 4, 3, 4, 3, 4, 4, 3, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 4, 2, 2, 3, 4, 5, 5, 5, 3, 3, 3, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 3, 3, 3, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 1, 1, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 5, 5, 0, 0, 2, 5, 5, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 3, 3, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 4, 4, 4, 0, 0, 2, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 0, 0, 0, 1, 2, 1, 0, 17, 17, 1, 1, 2, 17, 17, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 18, 18, 1, 1, 2, 18, 18, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 20, 20, 1, 1, 2, 20, 20, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 22, 22, 1, 2, 22, 22, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 0, 23, 23, 1, 1, 1, 2 ]
[ 505, 1427, 1643, 505, 280, 330, 268, 30757, 1031, 25, 203, 5919, 280, 301, 397, 330, 2116, 950, 330, 1562, 88, 6239, 370, 397, 330, 17583, 950, 330, 1562, 88, 6239, 87, 370, 397, 330, 12708, 950, 330, 18855, 9536, 370, 397, 330, 2468, 950, 330, 1768, 27522, 370, 397, 330, 5546, 950, 330, 45177, 11372, 370, 397, 330, 1648, 950, 330, 2062, 370, 397, 330, 13411, 950, 330, 14022, 370, 397, 330, 1517, 950, 330, 1533, 370, 397, 330, 770, 950, 330, 54, 6591, 370, 397, 330, 11794, 950, 330, 10581, 370, 397, 330, 981, 27615, 950, 330, 22923, 1546, 367, 370, 397, 330, 9436, 950, 330, 721, 378, 1309, 370, 397, 330, 26170, 950, 330, 57, 387, 312, 1837, 20040, 397, 330, 1173, 1602, 950, 330, 26860, 16093, 20040, 397, 330, 7812, 950, 39458, 1852, 613, 20040, 397, 330, 731, 950, 330, 9008, 11207, 370, 397, 330, 12118, 950, 330, 72, 764, 370, 397, 330, 7523, 950, 330, 72, 22995, 22995, 370, 397, 330, 5766, 950, 330, 52, 405, 14851, 19739, 370, 397, 330, 3961, 950, 330, 30984, 370, 397, 330, 5691, 950, 330, 1768, 869, 6171, 370, 397, 330, 8078, 950, 330, 6429, 8192, 6040, 203, 2993, 930, 17884, 14176, 81, 4151, 280, 301, 397, 588, 456, 264, 330, 979, 88, 6239, 950, 330, 2116, 370, 397, 330, 979, 88, 6239, 87, 950, 330, 17583, 370, 397, 330, 39570, 950, 330, 12708, 370, 397, 330, 339, 27522, 950, 330, 2468, 370, 397, 330, 31585, 11372, 950, 330, 5546, 370, 397, 330, 1648, 950, 330, 1648, 370, 397, 330, 13411, 950, 330, 13411, 370, 397, 330, 1517, 950, 330, 1517, 370, 397, 330, 2901, 97, 950, 330, 770, 370, 397, 330, 11794, 950, 330, 11794, 370, 397, 330, 981, 1546, 367, 950, 330, 981, 27615, 370, 397, 330, 14957, 950, 330, 9436, 370, 397, 330, 575, 378, 1309, 950, 330, 9436, 6040, 203, 2993, 54, 48963, 81, 17641, 4044, 280, 428, 920, 370, 5769, 785, 203, 2993, 62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 3, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 2, 2, 2, 1, 2, 11, 1, 2, 2, 2, 1, 2, 13, 1, 2, 2, 2, 1, 2, 15, 1, 2, 2, 2, 1, 2, 17, 1, 1, 2, 2, 2, 1, 2, 19, 1, 2, 2, 2, 1, 1, 2, 21, 1, 1, 1, 2, 2, 2, 1, 2, 23, 1, 1, 1, 1, 2, 2, 0, 1, 25, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 27, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 31, 1, 1, 2, 2, 2, 1, 2, 33, 0, 1, 2, 2, 2, 1, 2, 35, 0, 1, 1, 2, 2, 2, 1, 2, 37, 0, 1, 1, 1, 1, 2, 2, 1, 1, 39, 1, 1, 2, 2, 1, 1, 41, 0, 1, 1, 1, 2, 2, 1, 1, 43, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 1070, 526, 5231, 32, 5558, 1188, 4261, 5231, 4152, 203, 1070, 526, 5231, 1188, 7890, 203, 1070, 526, 5231, 1188, 7444, 761, 203, 1070, 526, 5231, 1188, 4527, 203, 589, 3099, 26, 8478, 711, 284, 3829, 280, 1149, 26, 3435, 761, 32, 4993, 974, 32, 4151, 1157, 284, 3829, 32, 2546, 463, 502, 683, 284, 3829, 32, 2546, 463, 2242, 683, 284, 1604, 81, 4151, 280, 2107, 12340, 5549, 785, 284, 1769, 1644, 280, 1769, 26, 1657, 26, 426, 27, 436, 636, 328, 3829, 474, 1604, 81, 4151, 27, 284, 1628, 1643, 280, 1044, 25, 1656, 34, 44, 4178, 34, 1540, 10696, 3335, 35, 1540, 2473, 1643, 26, 1449, 1644, 27, 284, 1932, 280, 2933, 284, 436, 1519, 328, 7842, 44, 291, 415, 646, 1932, 44, 324, 7890, 32, 1216, 36455, 291, 1519, 280, 4527, 32, 19573, 49149, 26, 983, 27, 291, 415, 646, 2322, 32, 983, 32, 29712, 26, 983, 711, 324, 7890, 32, 1216, 5908, 103, 25, 1206, 312, 803, 44, 301, 34, 16805, 1643, 26, 400, 4527, 32, 2751, 444, 81, 983, 26, 983, 27, 324, 9658, 324, 4036, 291, 7890, 32, 1216, 5908, 983, 27, 291, 1596, 44, 324, 32064, 280, 7444, 761, 32, 4993, 974, 26, 983, 27, 291, 2940, 7444, 761, 32, 1061, 18210, 974, 924, 44, 324, 7890, 32, 1216, 81, 463, 18506, 1491, 803, 44, 301, 34, 16805, 1643, 26, 400, 4527, 32, 2751, 444, 81, 983, 26, 983, 27, 324, 9658, 324, 4036, 291, 436, 636, 328, 3829, 44, 324, 7890, 32, 1216, 5908, 928, 1643, 32, 1643, 26, 426, 30, 18623, 26, 10576, 30, 636, 2610, 291, 7890, 32, 1216, 5908, 928, 1643, 32, 1643, 463, 12340, 5549, 370, 32064, 32, 502, 438, 646, 1665, 490, 291, 1932, 280, 3177, 203, 823, 12437, 4152, 26, 1467, 5231, 4152, 711, 284, 665, 6350, 26, 784, 711, 291, 4774, 280, 7890, 32, 1721, 2501, 463, 1338, 370, 3049, 1057, 2245, 803, 5035, 683, 291, 665, 3420, 26, 1356, 30, 6410, 30, 2181, 711, 324, 415, 646, 2181, 44, 400, 3636, 7890, 32, 1240, 924, 463, 1347, 803, 3191, 683, 324, 3099, 26, 1132, 27, 291, 4774, 32, 1298, 280, 3420, 291, 442, 428, 3515, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 10, 10, 9, 10, 10, 8, 9, 8, 2, 2, 5, 6, 5, 7, 7, 2, 2, 5, 6, 5, 7, 7, 2, 2, 5, 5, 4, 4, 7, 7, 7, 2, 2, 5, 4, 4, 6, 8, 8, 9, 8, 6, 7, 7, 7, 8, 8, 9, 9, 6, 2, 2, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 7, 7, 6, 2, 2, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 6, 5, 5, 5, 9, 10, 10, 4, 4, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 5, 6, 9, 10, 8, 9, 8, 9, 8, 5, 5, 9, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 11, 11, 13, 14, 14, 14, 14, 13, 14, 13, 11, 11, 6, 6, 4, 4, 7, 8, 8, 8, 7, 4, 4, 5, 5, 5, 8, 8, 11, 10, 11, 11, 10, 11, 10, 5, 5, 6, 8, 7, 8, 8, 8, 8, 6, 6, 6, 10, 11, 11, 10, 14, 14, 14, 14, 14, 14, 14, 13, 12, 12, 12, 14, 15, 15, 15, 15, 14, 15, 14, 12, 12, 7, 7, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 10, 12, 12, 11, 12, 11, 12, 11, 11, 13, 14, 13, 13, 13, 4, 4, 7, 8, 8, 10, 10, 9, 10, 9, 11, 11, 11, 9, 11, 12, 10, 10, 10, 9, 4, 4, 6, 6, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 10, 8, 9, 11, 11, 11, 11, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 5, 5, 7, 8, 7, 7, 7, 9, 11, 12, 12, 11, 13, 13, 13, 13, 6, 6, 9, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 5, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 5, 5, 2, 1, 2, 5, 5, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 7, 7, 7, 7, 7, 7, 0, 1, 0, 0, 0, 0, 2, 2, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 5, 5, 0, 2, 2, 1, 1, 5, 5, 4, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 3, 0, 1, 2, 2, 2, 2, 3, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 3, 3, 3, 1, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 1, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 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 ]
[ 465, 15798, 203, 465, 35094, 203, 465, 7744, 203, 465, 6436, 203, 1070, 4134, 1188, 17476, 203, 465, 18792, 203, 465, 663, 1352, 203, 1070, 663, 1352, 32, 11514, 1188, 16601, 203, 1070, 663, 1352, 1188, 4442, 203, 1070, 663, 1352, 1188, 14999, 81, 1553, 203, 1070, 663, 1352, 1188, 6325, 203, 1070, 663, 1352, 32, 4266, 1188, 5601, 203, 1070, 663, 1352, 32, 4266, 1188, 3700, 203, 1070, 663, 1352, 32, 2304, 1188, 11492, 203, 1070, 663, 1352, 81, 4882, 32, 8239, 81, 4882, 32, 5178, 299, 81, 4882, 1188, 49094, 81, 1442, 81, 4313, 203, 50, 4266, 32, 5609, 518, 2740, 4266, 32, 2445, 1371, 284, 330, 12732, 950, 10440, 38, 28020, 308, 38, 30, 225, 37, 471, 308, 38, 30, 225, 37, 30, 225, 36, 471, 308, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 14155, 284, 330, 4094, 81, 464, 950, 428, 1815, 30, 3177, 614, 284, 330, 12010, 950, 428, 10337, 32, 1808, 35, 40, 30, 6436, 32, 1808, 37, 36, 30, 6436, 32, 1808, 40, 38, 614, 203, 18364, 203, 823, 2108, 2708, 34161, 9110, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 29704, 280, 2069, 26, 784, 32, 12732, 27, 291, 630, 32, 93, 891, 280, 308, 37, 21713, 319, 630, 32, 29704, 291, 630, 32, 13176, 280, 308, 36, 21713, 319, 630, 32, 29704, 291, 630, 32, 6126, 280, 308, 35, 21713, 319, 630, 32, 29704, 291, 816, 81, 3229, 280, 308, 36, 30, 225, 37, 27, 474, 630, 32, 12732, 291, 630, 32, 106, 280, 6436, 32, 16251, 26, 324, 35094, 32, 8920, 26, 8829, 30, 816, 81, 3229, 471, 9710, 47, 784, 32, 12010, 547, 12091, 26, 106, 81, 3229, 27, 291, 630, 32, 106, 280, 225, 36, 319, 630, 32, 106, 517, 630, 32, 106, 32, 891, 429, 225, 35, 291, 963, 101, 280, 8825, 26, 6081, 32, 371, 81, 6081, 81, 541, 891, 26, 86, 30, 831, 30, 309, 30, 298, 30, 630, 32, 4094, 81, 464, 27, 3486, 436, 308, 86, 30, 831, 30, 309, 30, 298, 27, 3486, 328, 18792, 32, 21332, 32, 3969, 26, 656, 630, 32, 12732, 30, 630, 32, 93, 891, 30, 630, 32, 13176, 30, 630, 32, 6126, 490, 291, 46412, 81, 3229, 280, 308, 36, 30, 225, 37, 27, 474, 963, 101, 291, 630, 32, 4679, 280, 6436, 32, 3855, 32, 10586, 3736, 35, 30, 225, 35, 30, 46412, 81, 3229, 547, 15315, 26, 784, 32, 12010, 27, 291, 630, 32, 6453, 106, 280, 6436, 32, 3855, 32, 10586, 26, 324, 429, 35, 30, 225, 35, 30, 816, 81, 3229, 547, 15315, 26, 784, 32, 12010, 27, 291, 630, 32, 1553, 81, 21752, 81, 2184, 280, 2149, 291, 415, 630, 32, 12010, 610, 6436, 32, 1808, 35, 40, 44, 324, 630, 32, 1553, 81, 21752, 81, 2184, 280, 301, 400, 330, 269, 362, 950, 225, 35, 87, 31, 37, 30, 330, 2051, 362, 950, 225, 35, 87, 31, 36, 111, 324, 630, 32, 1553, 81, 2627, 81, 21752, 81, 2184, 280, 301, 400, 330, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 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, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 2, 5, 4, 5, 5, 4, 8, 7, 8, 7, 8, 8, 11, 11, 9, 12, 11, 10, 12, 11, 11, 12, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 8, 8, 11, 11, 11, 11, 9, 11, 10, 10, 10, 8, 8, 11, 11, 9, 12, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 8, 8, 1, 2, 2, 3, 3, 3, 3, 5, 4, 5, 3, 2, 2, 4, 5, 6, 5, 4, 4, 8, 9, 7, 7, 9, 11, 10, 11, 9, 5, 5, 8, 9, 9, 7, 7, 10, 9, 8, 8, 9, 10, 5, 5, 8, 9, 7, 7, 10, 9, 8, 8, 9, 10, 5, 5, 8, 9, 7, 7, 10, 9, 8, 8, 9, 10, 5, 5, 8, 8, 7, 7, 10, 9, 9, 10, 9, 8, 8, 9, 10, 5, 5, 8, 9, 7, 7, 11, 12, 11, 11, 11, 13, 14, 13, 14, 13, 13, 14, 14, 13, 11, 12, 14, 13, 14, 11, 10, 9, 10, 10, 10, 9, 5, 5, 8, 9, 7, 7, 11, 10, 10, 11, 12, 9, 9, 11, 12, 10, 11, 8, 8, 9, 5, 5, 8, 7, 7, 9, 12, 11, 12, 12, 12, 12, 12, 12, 11, 12, 11, 11, 11, 11, 11, 11, 11, 11, 12, 13, 13, 13, 11, 9, 9, 10, 12, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 13, 14, 12, 13, 12, 12, 12, 13, 14, 12, 12, 13, 14, 14, 12, 12, 13, 14, 12, 12, 13, 14, 12, 5, 5, 8, 8, 7, 7, 10, 9, 9, 10, 9, 8, 8, 9, 5, 5, 8, 9, 7, 7, 12, 13, 11, 12, 11, 13, 11, 11, 12, 11, 11, 12, 12, 11, 10, 9, 11, 10, 11, 9, 5, 5, 8, 9, 9, 7, 7, 12, 13, 11, 12, 11, 11, 11, 13, 11, 11, 12, 11, 11, 12, 12, 11, 10, 9, 11, 10, 11, 9, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 5, 5, 6, 8, 9, 7, 7, 8, 9, 9, 9, 6, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 10, 10, 13, 13, 13, 11, 12, 12, 12, 12, 10, 10, 13, 13, 13, 11, 12, 12, 12, 12, 10, 7, 7, 10, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 0, 8, 8, 0, 9, 9, 0, 9, 9, 0, 0, 0, 10, 10, 0, 10, 10, 0, 11, 11, 0, 1, 2, 11, 11, 0, 12, 12, 0, 1, 2, 12, 12, 0, 13, 13, 0, 1, 2, 13, 13, 0, 14, 14, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 4, 4, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 3, 3, 3, 2, 1, 5, 5, 3, 5, 5, 5, 5, 2, 1, 7, 7, 3, 7, 7, 5, 7, 7, 7, 7, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 1, 1, 15, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 3, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 3, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 12, 0, 2, 1, 1, 2, 2, 2, 2, 12, 12, 12, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1 ]
[ 465, 5237, 203, 465, 31074, 203, 1070, 16015, 10101, 1188, 3772, 203, 823, 11489, 26, 1761, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2078, 30, 6492, 280, 1665, 30, 9612, 280, 1665, 30, 1115, 5321, 711, 291, 2599, 26, 2900, 30, 784, 14585, 1664, 3207, 326, 5321, 27, 291, 415, 6492, 438, 1665, 44, 324, 6492, 280, 428, 466, 26, 91, 27, 436, 595, 328, 2155, 26, 1657, 26, 2810, 12634, 291, 415, 9612, 438, 1665, 44, 2607, 9612, 280, 630, 32, 45194, 291, 5102, 280, 10306, 32, 371, 463, 3365, 370, 3177, 27, 291, 1780, 1514, 280, 10306, 32, 371, 463, 1311, 1514, 370, 330, 7021, 683, 291, 1780, 5234, 280, 10306, 32, 371, 463, 1311, 5234, 370, 225, 35, 32, 36, 39, 27, 291, 2266, 1514, 280, 10306, 32, 371, 463, 1172, 1514, 370, 330, 7021, 683, 291, 816, 1172, 1514, 280, 10306, 32, 371, 463, 16862, 1514, 370, 330, 7021, 683, 291, 533, 1172, 1514, 280, 10306, 32, 371, 463, 16575, 1514, 370, 330, 7021, 683, 291, 1418, 280, 630, 32, 1621, 280, 301, 324, 330, 12155, 25, 351, 499, 330, 7021, 370, 324, 330, 12155, 31, 1644, 25, 225, 499, 330, 35, 370, 324, 330, 4157, 25, 2033, 499, 330, 7021, 370, 291, 320, 291, 1344, 2275, 280, 630, 32, 878, 2275, 280, 301, 324, 330, 12155, 25, 351, 499, 330, 4108, 370, 291, 320, 291, 1861, 280, 10306, 32, 371, 463, 1644, 370, 225, 39, 34, 34, 27, 291, 2384, 280, 10306, 32, 371, 463, 2273, 370, 225, 39, 34, 34, 27, 291, 1201, 1861, 848, 225, 34, 461, 2384, 848, 225, 34, 30, 330, 1644, 461, 2384, 2298, 526, 14324, 2784, 225, 34, 25, 291, 14335, 280, 1897, 26, 1644, 4165, 2273, 291, 1201, 14335, 848, 638, 36, 461, 14335, 333, 225, 39, 4317, 330, 17753, 2298, 526, 3733, 638, 36, 461, 225, 39, 25, 291, 630, 32, 3399, 2611, 280, 1861, 291, 630, 32, 3399, 3024, 280, 2384, 291, 1847, 107, 280, 1847, 26, 2810, 27, 291, 1769, 107, 280, 1769, 26, 2810, 27, 291, 415, 1847, 107, 610, 1769, 107, 44, 324, 1847, 107, 5912, 225, 35, 324, 1769, 107, 1454, 225, 35, 291, 1769, 2567, 12805, 280, 10306, 32, 371, 463, 1449, 2567, 12805, 370, 225, 39, 27, 291, 1769, 2928, 12805, 280, 10306, 32, 371, 463, 1449, 2928, 12805, 370, 225, 39, 27, 291, 533, 35, 30, 533, 36, 280, 630, 32, 1832, 18716, 26, 887, 107, 30, 1769, 107, 30, 1769, 2567, 12805, 280, 1769, 2567, 12805, 30, 1769, 2928, 12805, 280, 1769, 2928, 12805, 27, 291, 630, 32, 107, 13147, 18716, 30, 630, 32, 107, 17765, 18716, 280, 533, 35, 30, 533, 36, 291, 1847, 107, 280, 630, 32, 887, 107, 280, 1847, 26, 887, 26, 107, 35, 471, 1847, 26, 107, 36, 556, 308, 3731, 32, 1449, 410, 30, 2610, 291, 1769, 107, 280, 630, 32, 1449, 107, 280, 1769, 26, 1449, 26, 107, 35, 471, 1769, 26, 107, 36, 556, 7197, 3731, 32, 1449, 410, 30, 2610, 291, 630, 32, 107, 3804, 280, 630, 32, 3399, 3024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 4, 3, 3, 9, 10, 9, 10, 9, 8, 8, 8, 9, 7, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 11, 11, 12, 11, 9, 10, 10, 10, 12, 14, 14, 15, 14, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 9, 10, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 8, 10, 10, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 8, 9, 9, 9, 9, 8, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 8, 10, 10, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 8, 10, 10, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 8, 10, 10, 4, 4, 6, 6, 8, 9, 7, 7, 8, 8, 11, 11, 9, 9, 9, 11, 11, 8, 8, 11, 11, 11, 11, 9, 9, 9, 11, 11, 8, 8, 11, 11, 9, 9, 9, 11, 11, 8, 8, 4, 4, 7, 6, 6, 8, 9, 9, 7, 7, 8, 8, 11, 11, 9, 9, 9, 11, 11, 8, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 9, 9, 9, 8, 4, 4, 5, 7, 7, 8, 6, 6, 7, 7, 8, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 9, 10, 9, 8, 4, 4, 5, 7, 7, 8, 6, 6, 7, 7, 8, 8, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 5, 7, 6, 6, 7, 5, 5, 5, 9, 8, 8, 9, 6, 6, 9, 8, 8, 9, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 8, 4, 4, 8, 7, 7, 8, 6, 6, 8, 9, 9, 8, 9, 9, 8, 8, 9, 8, 8, 10, 10, 9, 9, 10, 10, 8, 8, 10, 10, 9, 9, 10, 10, 8, 4, 4, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 6, 6, 8, 7, 7, 8, 4, 4, 7, 6, 6, 8, 9, 9, 7, 7, 9, 11, 11, 12, 12, 11, 9, 11, 13, 13, 12, 12, 15, 14, 15, 15, 13, 13, 4, 4, 7, 6, 6, 8, 9, 9, 7, 7, 9, 11, 11, 12, 12, 11, 9, 11, 13, 13, 12, 12, 16, 15, 16, 16, 13, 13, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 1, 2, 0, 0, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 1, 2, 5, 5, 5, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 3, 3, 3, 1, 4, 4, 13, 0, 0, 2, 1, 1, 2, 2, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 15, 0, 0, 2, 1, 1, 2, 2, 2, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 20, 0, 1, 1, 2, 20, 20, 20, 0, 0, 0, 2, 3, 3, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 0, 0, 5, 5, 2, 2, 1, 1, 0, 0, 7, 7, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2 ]
[ 1070, 3312, 32, 3592, 32, 862, 101, 1188, 1201, 81, 731, 30, 1201, 81, 5952, 81, 15214, 30, 1201, 81, 3127, 203, 1070, 3312, 32, 3592, 32, 18972, 1188, 1487, 81, 5952, 203, 1070, 3312, 32, 3592, 32, 3221, 1188, 4447, 203, 4792, 81, 1427, 280, 4447, 10374, 1423, 48, 3518, 32, 4792, 11048, 1423, 19830, 203, 589, 1769, 12178, 26, 2848, 711, 284, 442, 3523, 32, 9613, 32, 2714, 440, 3705, 392, 313, 2848, 9708, 101, 33, 3518, 33, 1449, 12178, 20, 904, 3523, 32, 2848, 81, 314, 27, 203, 589, 894, 81, 1347, 81, 84, 34520, 81, 1819, 26, 2848, 30, 1487, 81, 3518, 711, 284, 3523, 32, 3518, 81, 2956, 280, 1487, 81, 3518, 346, 284, 3523, 32, 2679, 346, 284, 1789, 280, 1769, 12178, 26, 2848, 27, 284, 1201, 81, 731, 26, 1986, 30, 313, 1347, 3751, 3223, 657, 203, 589, 894, 81, 2956, 81, 13232, 81, 11954, 81, 363, 81, 9353, 2262, 203, 589, 894, 81, 2956, 81, 13232, 81, 7494, 81, 363, 81, 9353, 2262, 203, 589, 894, 81, 2956, 81, 13232, 81, 3617, 2262, 203, 589, 894, 81, 2956, 81, 13232, 81, 7494, 26, 890, 81, 2848, 30, 1015, 81, 7128, 81, 3625, 5175, 4137, 711, 284, 4950, 3523, 280, 537, 81, 2848, 15520, 25241, 563, 3447, 12149, 3665, 563, 1015, 81, 7128, 81, 3625, 5175, 4137, 15520, 311, 15214, 18249, 11117, 563, 313, 7494, 15119, 24471, 284, 3523, 32, 965, 280, 4447, 10374, 1311, 48, 10394, 3693, 1780, 377, 1311, 19830, 284, 1487, 81, 5952, 26, 2848, 47778, 4792, 392, 1344, 347, 11954, 588, 35, 392, 1056, 81, 869, 347, 11954, 35, 657, 284, 1789, 280, 1769, 12178, 26, 2848, 27, 284, 1201, 1789, 32, 1517, 610, 225, 36, 34, 34, 284, 1201, 81, 5952, 81, 15214, 26, 2848, 30, 313, 11954, 588, 35, 657, 284, 1487, 81, 5952, 26, 2848, 47778, 8853, 392, 1344, 347, 11954, 588, 36, 392, 1056, 81, 869, 347, 11954, 36, 657, 284, 1789, 280, 1769, 12178, 26, 2848, 27, 284, 1201, 1789, 32, 1517, 610, 225, 36, 34, 34, 284, 1201, 81, 5952, 81, 15214, 26, 2848, 30, 313, 11954, 588, 36, 657, 284, 1487, 81, 5952, 26, 2848, 47778, 13232, 392, 1344, 347, 11954, 588, 37, 392, 1056, 81, 869, 347, 11954, 37, 657, 284, 1789, 280, 1769, 12178, 26, 2848, 27, 284, 1201, 1789, 32, 1517, 610, 225, 36, 34, 34, 284, 1201, 81, 5952, 81, 15214, 26, 2848, 30, 313, 11954, 588, 37, 657, 203, 589, 894, 81, 2956, 81, 13232, 81, 9785, 81, 853, 26, 2848, 30, 1487, 81, 5952, 711, 284, 3523, 32, 965, 280, 4447, 10374, 1311, 48, 10394, 3693, 1780, 377, 1311, 19830, 284, 1487, 81, 5952, 440, 4792, 392, 1344, 347, 11954, 588, 35, 392, 1056, 81, 869, 347, 11954, 35, 657, 284, 1789, 280, 1769, 12178, 26, 2848, 27, 284, 1201, 81, 731, 26, 1986, 30, 313, 22562, 5953, 2156, 657, 284, 1201, 81, 5952, 81, 15214, 26, 2848, 30, 313, 11954, 588, 35, 657, 284, 1487, 81, 5952, 440, 8853, 392, 1344, 347, 11954, 588, 36, 392, 1056 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 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, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 7, 7, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 6, 6, 6, 4, 4, 6, 6, 6, 2, 2, 5, 6, 5, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 10, 10, 8, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 16, 16, 16, 16, 16, 14, 16, 16, 9, 2, 2, 5, 6, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 6, 6, 7, 6, 7, 7, 5, 6, 8, 8, 8, 8, 5, 7, 7, 6, 8, 8, 8, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 3, 5, 6, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 2, 2, 6, 6, 6, 7, 6, 7, 7, 5, 6, 8, 8, 8, 8, 5, 7, 7, 6, 8, 8, 8, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 3, 5, 6, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 2, 2, 6, 6, 6, 7, 6, 7, 7, 5, 6, 8, 8, 8, 8, 5, 7, 7, 6, 8, 8, 8, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 3, 5, 6, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 6, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 7, 7, 5, 6, 8, 8, 8, 8, 5, 7, 7, 6, 8, 8, 8, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 2, 2, 5, 5, 5, 7, 7, 5, 6, 8, 8, 8, 8, 5 ]
[ 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 9, 9, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 0, 0, 5, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 0, 0, 5, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 8, 0, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 0, 0, 5, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 12, 0, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 10, 10, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 0, 0, 5, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1 ]
[ 465, 45977, 203, 823, 47800, 26, 687, 1729, 32, 13172, 711, 284, 665, 9336, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 4275, 30, 8644, 81, 1274, 27, 284, 665, 9843, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 4275, 30, 286, 3205, 81, 1274, 27, 203, 823, 29494, 279, 8770, 26, 687, 1729, 32, 44571, 8770, 711, 284, 665, 9336, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 784, 32, 4275, 30, 8644, 81, 1274, 5594, 34, 79, 203, 823, 29494, 279, 11717, 26, 687, 1729, 32, 44571, 11717, 711, 284, 665, 9843, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 784, 32, 4275, 30, 286, 3205, 81, 1274, 5594, 34, 79, 203, 823, 7537, 3976, 26, 13172, 30, 687, 1729, 32, 1862, 3976, 711, 284, 3097, 203, 823, 7537, 3300, 26, 13172, 30, 687, 1729, 32, 33667, 711, 284, 3097, 203, 589, 622, 1582, 3038, 2262, 284, 442, 45977, 32, 13172, 1120, 26, 291, 636, 1057, 9328, 42, 42, 39, 43, 31, 35, 34, 370, 291, 9336, 47, 13172, 922, 4434, 30, 291, 9843, 47, 13172, 922, 5460, 30, 291, 33530, 13023, 47, 44571, 8770, 30, 291, 33530, 14858, 47, 44571, 11717, 30, 291, 3443, 6308, 47, 33667, 30, 291, 3443, 7572, 47, 1862, 3976, 30, 284, 829, 203, 286, 3205, 81, 1274, 280, 308, 284, 3228, 106, 34, 34, 25, 647, 284, 3228, 106, 34, 35, 25, 647, 284, 3228, 106, 34, 36, 25, 647, 284, 3228, 106, 34, 37, 25, 647, 284, 3228, 106, 34, 38, 25, 647, 284, 3228, 106, 34, 39, 25, 647, 284, 3228, 106, 34, 40, 25, 647, 284, 3228, 106, 34, 41, 25, 647, 284, 3228, 106, 34, 42, 25, 647, 284, 3228, 102, 25, 351, 284, 3228, 96, 25, 351, 284, 3228, 106, 34, 84, 25, 647, 284, 3228, 106, 34, 85, 25, 647, 284, 3228, 100, 25, 351, 284, 3228, 106, 34, 87, 25, 647, 284, 3228, 106, 34, 88, 25, 647, 284, 3228, 106, 35, 34, 25, 647, 284, 3228, 106, 35, 35, 25, 647, 284, 3228, 106, 35, 36, 25, 647, 284, 3228, 106, 35, 37, 25, 647, 284, 3228, 106, 35, 38, 25, 647, 284, 3228, 106, 35, 39, 25, 647, 284, 3228, 106, 35, 40, 25, 647, 284, 3228, 106, 35, 41, 25, 647, 284, 3228, 106, 35, 42, 25, 647, 284, 3228, 106, 35, 43, 25, 647, 284, 3228, 106, 35, 83, 25, 647, 284, 3228, 106, 35, 84, 25, 647, 284, 3228, 106, 35, 85, 25, 647, 284, 3228, 106, 35, 86, 25, 647, 284, 3228, 106, 35, 87, 25, 647, 284, 3228, 106, 35, 88, 25, 647, 284, 330, 330, 40196, 330, 20149, 40196, 37316, 40196, 40530, 40196, 8493, 25, 40196, 47268, 40196, 15441, 25, 40196, 37638, 40196, 32096, 40196, 39691, 40196, 32448, 40196, 43563, 40196 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 4, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 6, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 9, 9, 8, 5, 5, 5, 6, 9, 9, 8, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 6, 4, 4, 4, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 7, 7, 7, 6, 4, 4, 4, 6, 4, 4, 6, 4, 4, 4, 4, 4, 4, 6, 4, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 3, 2, 0, 5, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 1, 4, 4, 1, 2, 1, 2, 3, 2, 0, 5, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 5, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 1, 2, 1, 0, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 5, 1, 2, 1, 0, 4, 4, 1, 2, 1, 2, 0, 0, 3, 2, 2, 2, 4, 4, 0, 5, 5, 1, 2, 1, 2, 0, 0, 3, 2, 2, 5, 5, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 2, 1, 1, 1, 5, 0, 1, 2, 1, 1, 1, 0, 7, 2, 2, 1, 1, 1, 0, 9, 2, 2, 1, 1, 1, 0, 11, 2, 1, 1, 1, 0, 13, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 1070, 13462, 25306, 1188, 3185, 81, 983, 203, 505, 464, 505, 280, 308, 284, 313, 1320, 81, 2613, 81, 5660, 392, 284, 313, 6426, 81, 1163, 81, 761, 392, 284, 313, 2946, 81, 2613, 81, 5660, 392, 284, 313, 2946, 81, 1163, 81, 5660, 392, 284, 313, 496, 81, 2613, 81, 5660, 392, 284, 313, 496, 81, 1163, 81, 5660, 392, 203, 27, 203, 2946, 81, 1163, 81, 5660, 280, 3056, 6698, 33, 9508, 31, 4652, 31, 4280, 25, 203, 2946, 81, 2613, 81, 5660, 280, 3056, 869, 33, 2613, 33, 9508, 31, 4652, 31, 4280, 25, 203, 496, 81, 1163, 81, 5660, 280, 3185, 81, 983, 463, 30127, 9508, 31, 4652, 31, 4280, 683, 203, 496, 81, 2613, 81, 5660, 280, 3185, 81, 983, 463, 30127, 2613, 33, 9508, 31, 4652, 31, 4280, 683, 203, 1320, 81, 2613, 81, 5660, 280, 2664, 81, 2613, 81, 5660, 415, 2322, 32, 371, 1890, 346, 610, 225, 34, 813, 1256, 81, 2613, 81, 5660, 203, 6426, 81, 1163, 81, 761, 280, 330, 13825, 32, 5930, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 3, 3, 6, 7, 7, 6, 4, 4, 5, 3, 3, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 6587, 1188, 11009, 203, 1070, 23978, 32, 1003, 1188, 622, 81, 19540, 203, 1070, 4134, 1188, 22169, 203, 27325, 280, 9254, 2830, 44, 19326, 26, 2067, 30, 11477, 1851, 505, 683, 203, 1270, 44, 284, 645, 23978, 32, 3965, 1188, 645, 81, 12537, 203, 7343, 44, 284, 3097, 203, 823, 24241, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 6332, 711, 291, 630, 3667, 89, 280, 2149, 4456, 415, 8351, 44, 324, 630, 32, 669, 2740, 6332, 27, 284, 665, 1015, 26, 784, 30, 319, 6332, 711, 291, 1401, 280, 630, 3667, 89, 3667, 4752, 505, 291, 436, 2350, 328, 8351, 44, 324, 415, 19326, 26, 1363, 30, 7610, 14000, 1363, 7831, 400, 415, 646, 1401, 26, 1363, 711, 528, 2350, 32, 669, 81, 3259, 26, 784, 27, 528, 630, 32, 669, 81, 3259, 26, 1363, 27, 324, 813, 44, 400, 630, 32, 669, 2740, 1363, 27, 284, 665, 3345, 26, 784, 30, 319, 6332, 711, 291, 1401, 280, 630, 3667, 89, 3667, 4752, 505, 291, 436, 2350, 328, 8351, 44, 324, 415, 19326, 26, 1363, 30, 7610, 14000, 1363, 7831, 400, 415, 1401, 26, 1363, 711, 528, 2350, 32, 2546, 81, 3259, 26, 784, 27, 528, 630, 32, 2546, 81, 3259, 26, 1363, 27, 324, 813, 44, 400, 630, 32, 2546, 2740, 1363, 27, 284, 665, 1015, 81, 3259, 26, 784, 30, 2350, 711, 291, 630, 3667, 89, 77, 1363, 79, 280, 225, 34, 284, 665, 3345, 81, 3259, 26, 784, 30, 2350, 711, 291, 3555, 630, 3667, 89, 77, 1363, 79, 284, 665, 1974, 26, 784, 30, 319, 1132, 711, 291, 3097, 284, 665, 17487, 26, 784, 711, 291, 436, 281, 328, 630, 3667, 89, 44, 324, 281, 32, 2546, 81, 3259, 26, 784, 27, 291, 630, 3667, 89, 32, 3815, 346, 284, 665, 8351, 26, 784, 711, 291, 442, 1149, 26, 784, 3667, 89, 27, 284, 665, 29042, 26, 784, 711, 291, 442, 22169, 26, 784, 3667, 89, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 3778, 23, 101, 15547, 26, 266, 904, 86, 8351, 27, 5844, 904, 308, 784, 3667, 823, 29215, 426, 7642, 2069, 26, 784, 3667, 89, 490, 203, 823, 19440, 618, 10792, 26, 10792, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 6332, 711, 291, 630, 32, 19796, 280, 225, 35, 291, 630, 32, 24100, 2816, 280, 225, 34, 16189, 630, 1114, 7891, 280, 225, 35, 291, 630, 1114, 1823, 280, 225, 34, 41690, 630, 32, 1855, 81, 6587, 280, 1665, 291, 24241, 3667, 1664, 3207, 784, 30, 319, 6332, 27, 284, 665, 617, 470, 81, 7891, 26, 784, 30, 909, 711, 291, 630, 1114, 7891, 280, 909, 291, 415, 630, 32, 19796, 333, 225, 36, 44, 324, 630, 32, 19796, 280, 225, 35, 284, 665, 617, 371, 81, 7891, 26, 784, 711, 291, 442, 630, 1114, 7891, 284, 8702, 280, 2804, 26, 5962, 630, 44, 630, 1114, 371, 81, 7891, 1026, 5556, 9254, 630, 30, 786, 44, 630, 1114, 470, 81, 7891, 26, 853, 471, 5556, 3693, 347, 9619, 883, 1930, 458 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 3, 2, 2, 3, 3, 3, 5, 6, 5, 5, 7, 7, 7, 0, 1, 1, 1, 1, 3, 4, 5, 3, 3, 5, 5, 1, 2, 2, 2, 2, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 5, 5, 5, 9, 10, 9, 11, 9, 2, 2, 3, 4, 5, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 7, 8, 8, 4, 4, 5, 5, 5, 5, 5, 5, 7, 9, 10, 9, 9, 11, 11, 11, 7, 7, 9, 10, 12, 13, 12, 9, 9, 13, 14, 14, 14, 13, 14, 13, 10, 10, 13, 14, 14, 14, 13, 14, 13, 7, 7, 8, 8, 8, 12, 13, 12, 14, 12, 2, 2, 3, 4, 5, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 7, 8, 8, 4, 4, 5, 5, 5, 5, 5, 5, 7, 9, 10, 9, 9, 11, 11, 11, 7, 7, 9, 11, 12, 11, 9, 9, 13, 14, 14, 14, 13, 14, 13, 10, 10, 13, 14, 14, 14, 13, 14, 13, 7, 7, 8, 8, 8, 12, 13, 12, 14, 12, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 7, 6, 2, 2, 3, 4, 5, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 9, 10, 10, 9, 9, 7, 9, 11, 10, 11, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 7, 8, 6, 6, 7, 5, 5, 5, 9, 10, 8, 8, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 4, 4, 6, 7, 7, 7, 7, 9, 10, 10, 10, 9, 6, 6, 7, 8, 8, 7, 7, 9, 10, 10, 10, 9, 10, 9, 6, 6, 7, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 5, 5, 0, 1, 2, 0, 0, 0, 0, 5, 3, 3, 3, 3, 0, 6, 6, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 2, 0, 0, 0, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 1, 2, 1, 4, 4, 5, 2, 1, 2, 2, 1, 2, 5, 5, 4, 4, 6, 2, 1, 2, 6, 6, 0, 0, 0, 3, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 7, 2, 1, 2, 7, 7, 0, 1, 0, 1, 2, 1, 4, 4, 8, 2, 1, 2, 8, 8, 0, 1, 0, 1, 2, 1, 4, 4, 9, 1, 1, 1, 2, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 3, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1 ]
[ 1070, 10773, 32, 7621, 32, 8366, 1188, 14092, 2019, 203, 1070, 10773, 32, 7621, 32, 15825, 1188, 32861, 2019, 203, 1070, 10773, 32, 7621, 32, 21386, 1188, 7823, 2939, 2019, 203, 1070, 10773, 32, 7621, 32, 4756, 1188, 16901, 2019, 203, 1070, 10773, 32, 7621, 32, 668, 1188, 1682, 2019, 203, 1070, 10773, 32, 7621, 32, 1903, 1188, 7422, 2019, 203, 1070, 10773, 32, 7621, 32, 2245, 1188, 7914, 2019, 203, 1070, 10773, 32, 7621, 32, 3789, 1188, 6741, 2019, 203, 1070, 10773, 32, 7621, 32, 41758, 1188, 1683, 3789, 2019, 203, 1070, 10773, 32, 7621, 32, 38511, 1188, 1683, 3969, 2019, 203, 1070, 10773, 32, 7621, 32, 3969, 1188, 23040, 2019, 203, 1070, 10773, 32, 7621, 32, 15668, 1188, 624, 8568, 2019, 203, 7621, 280, 301, 284, 14092, 2019, 32, 426, 44, 14092, 2019, 30, 284, 32861, 2019, 32, 426, 44, 32861, 2019, 30, 284, 7823, 2939, 2019, 32, 426, 44, 7823, 2939, 2019, 30, 284, 16901, 2019, 32, 426, 44, 16901, 2019, 30, 284, 7422, 2019, 32, 426, 44, 7422, 2019, 30, 284, 7914, 2019, 32, 426, 44, 7914, 2019, 30, 284, 6741, 2019, 32, 426, 44, 6741, 2019, 30, 284, 1683, 3789, 2019, 32, 426, 44, 1683, 3789, 2019, 30, 284, 1683, 3969, 2019, 32, 426, 44, 1683, 3969, 2019, 30, 284, 23040, 2019, 32, 426, 44, 23040, 2019, 30, 284, 1682, 2019, 32, 426, 44, 1682, 2019, 30, 284, 624, 8568, 2019, 32, 426, 44, 624, 8568, 2019, 30, 203, 111, 203, 7621, 81, 1174, 280, 428, 284, 6741, 2019, 30, 284, 1683, 3789, 2019, 30, 284, 7823, 2939, 2019, 30, 284, 1682, 2019, 30, 284, 7914, 2019, 30, 284, 7422, 2019, 30, 284, 624, 8568, 2019, 30, 284, 23040, 2019, 30, 284, 1683, 3969, 2019, 30, 284, 14092, 2019, 30, 284, 16901, 2019, 30, 203, 79, 203, 589, 622, 81, 1036, 33317, 26, 3617, 81, 3864, 47, 1815, 30, 17128, 47, 1815, 711, 284, 415, 17128, 44, 291, 4774, 3028, 280, 617, 3323, 81, 7621, 26, 7621, 30, 6350, 81, 1174, 27, 284, 813, 44, 291, 4774, 3028, 280, 6350, 32, 3028, 346, 284, 436, 636, 30, 2016, 81, 823, 328, 4774, 3028, 44, 291, 415, 5079, 81, 3864, 461, 2016, 81, 823, 32, 3864, 44, 324, 4036, 291, 6761, 308, 426, 30, 2016, 81, 823, 32, 1367, 27, 203, 589, 622, 81, 18310, 81, 7621, 26, 426, 711, 284, 645, 5839, 1356, 1188, 622, 81, 2679, 81, 8933, 284, 4230, 81, 7621, 280, 622, 81, 2679, 81, 8933, 26, 426, 30, 6350, 32, 3494, 1157, 284, 415, 4230, 81, 7621, 44, 291, 11089, 280, 4230, 81, 7621, 77, 34, 79, 284, 813, 44, 291, 11089, 280, 3177, 284, 442, 11089, 203, 589, 617, 3323, 81, 7621, 26, 4072, 583, 3557, 30, 2532, 711, 284, 665, 1202, 3359, 26, 678, 711, 291, 1596, 44, 324, 442, 2532, 32, 1055, 26, 678, 77, 35, 1130, 291, 2940, 10091, 44, 324, 442, 225, 34, 3126, 284, 442, 8594, 26, 4072, 583, 3557, 32, 3028, 1026, 1202, 47, 678, 3359, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 6, 5, 6, 4, 4, 5, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 6, 5, 6, 4, 4, 5, 5, 3, 3, 3, 6, 6, 5, 6, 4, 4, 5, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 6, 5, 6, 4, 4, 5, 5, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 3, 3, 3, 7, 6, 6, 8, 8, 8, 8, 9, 8, 8, 9, 9, 8, 3, 3, 4, 4, 4, 8, 7, 7, 9, 10, 9, 2, 2, 3, 4, 4, 5, 5, 3, 3, 4, 3, 3, 3, 5, 7, 7, 6, 6, 8, 8, 7, 8, 5, 5, 5, 4, 4, 6, 8, 7, 7, 9, 9, 8, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 3, 3, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 8, 7, 8, 7, 3, 3, 4, 4, 4, 7, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 9, 10, 9, 11, 10, 11, 10, 5, 5, 6, 6, 6, 6, 8, 9, 9, 2, 2, 3, 5, 8, 8, 8, 7, 8, 7, 5, 6, 7, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 3, 3, 2, 2, 2, 2, 0, 0, 0, 2, 5, 5, 2, 2, 2, 2, 2, 0, 0, 2, 7, 7, 2, 2, 2, 2, 0, 0, 2, 9, 9, 2, 2, 2, 2, 0, 0, 2, 11, 11, 2, 2, 2, 2, 0, 0, 2, 13, 13, 2, 2, 2, 2, 0, 0, 0, 2, 15, 15, 2, 2, 2, 2, 2, 0, 0, 0, 2, 17, 17, 2, 2, 2, 2, 2, 0, 0, 2, 19, 19, 2, 2, 2, 2, 0, 0, 2, 21, 21, 2, 2, 2, 2, 0, 0, 0, 2, 23, 23, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 3, 3, 2, 2, 2, 5, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 13, 13, 2, 2, 2, 15, 2, 2, 2, 17, 17, 2, 2, 2, 19, 2, 2, 2, 21, 2, 2, 2, 0, 14, 14, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 2, 2, 1, 1, 3, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 5, 5, 0, 1, 1, 1, 0, 0, 3, 2, 1, 0, 15, 15, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 4, 4, 3, 0, 16, 16, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 16, 16, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 3, 3, 3, 3, 0, 1, 1, 4, 4, 1, 1, 0, 0, 0, 0, 2, 1, 1, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 1070, 31074, 1188, 4054, 203, 1070, 17656, 270, 32, 5240, 32, 3675, 1188, 16990, 30, 2854, 3180, 30, 6700, 3180, 203, 1070, 17656, 270, 32, 5240, 32, 27722, 1188, 4749, 2468, 203, 1070, 17656, 270, 32, 1917, 1188, 11212, 7635, 30, 9145, 7635, 30, 30782, 3180, 203, 1070, 17656, 270, 32, 38914, 32, 718, 4460, 32, 1761, 776, 2051, 16275, 1188, 3772, 776, 2051, 16275, 203, 1070, 17656, 270, 32, 38914, 32, 718, 4460, 32, 1063, 18170, 2372, 32, 2527, 944, 1721, 1063, 13976, 1188, 308, 284, 7460, 944, 1721, 1063, 13976, 27, 203, 1070, 17656, 270, 32, 38914, 32, 718, 4460, 32, 1063, 18170, 2372, 32, 5240, 14633, 1721, 1063, 13976, 1188, 308, 284, 8751, 14633, 1721, 1063, 13976, 27, 203, 1070, 17656, 270, 32, 38914, 32, 718, 4460, 32, 19826, 18170, 2372, 1188, 676, 6874, 19826, 23749, 13976, 203, 1070, 17656, 270, 32, 16275, 5240, 32, 19826, 32, 19826, 23153, 1188, 33694, 23153, 203, 1070, 17656, 270, 32, 12180, 1188, 546, 4849, 13483, 3033, 203, 823, 13662, 65, 4849, 13483, 29413, 693, 3966, 29095, 16275, 26, 48213, 19826, 23749, 13976, 30, 284, 8751, 14633, 1721, 1063, 13976, 30, 7460, 944, 1721, 1063, 13976, 30, 3772, 776, 2051, 16275, 711, 284, 3408, 35, 280, 11212, 7635, 346, 284, 3408, 35, 32, 9968, 34, 280, 9145, 7635, 26, 1172, 347, 452, 81, 4640, 392, 5398, 47, 16275, 3180, 440, 5350, 2131, 284, 3408, 35, 32, 9968, 35, 280, 9145, 7635, 26, 1172, 347, 452, 81, 4640, 392, 5398, 47, 16275, 3180, 440, 5350, 2131, 284, 3408, 35, 32, 16186, 34, 280, 9145, 7635, 26, 1172, 347, 452, 81, 17020, 35, 657, 284, 3408, 35, 32, 16186, 35, 280, 9145, 7635, 26, 1172, 347, 452, 81, 17020, 36, 657, 284, 3408, 36, 280, 11212, 7635, 346, 284, 3408, 36, 32, 9968, 34, 280, 9145, 7635, 26, 1172, 347, 452, 81, 4640, 392, 5398, 47, 16275, 3180, 440, 5350, 2131, 284, 3408, 36, 32, 9968, 35, 280, 9145, 7635, 26, 1172, 347, 452, 81, 4640, 392, 5398, 47, 16275, 3180, 440, 5350, 2131, 284, 3408, 36, 32, 16186, 34, 280, 9145, 7635, 26, 1172, 347, 452, 81, 17020, 37, 657, 284, 3408, 36, 32, 16186, 35, 280, 9145, 7635, 26, 1172, 347, 452, 81, 17020, 38, 657, 284, 21578, 35, 280, 11212, 7635, 346, 284, 21578, 35, 32, 9968, 34, 280, 9145, 7635, 26, 1172, 347, 452, 81, 17020, 35, 657, 284, 21578, 36, 280, 11212, 7635, 346, 284, 21578, 36, 32, 9968, 34, 280, 9145, 7635, 26, 1172, 347, 452, 81, 17020, 36, 657, 284, 21578, 37, 280, 11212, 7635, 346, 284, 21578, 37, 32, 9968, 34, 280, 9145, 7635, 26, 1172, 347, 452, 81, 17020, 37, 657, 284, 21578, 38, 280, 11212, 7635, 346, 284, 21578, 38, 32, 9968, 34, 280, 9145, 7635, 26, 1172, 347, 452, 81, 17020, 38, 657, 284, 2126, 944, 81, 20858, 993, 280, 16990, 26, 1536, 4310, 291, 5436, 26, 14157, 347, 267, 392, 485, 762, 347, 267, 392, 273, 762, 347, 267, 392, 6486, 347, 267, 2113, 291, 5436, 26, 14157, 347, 1719 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 6, 7, 9, 9, 9, 11, 11, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 6, 7, 9, 9, 9, 11, 11, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 2, 2, 5, 4, 4, 6, 6, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 6, 7, 9, 9, 9, 11, 11, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 6, 7, 9, 9, 9, 11, 11, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 2, 2, 5, 4, 4, 6, 6, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 2, 2, 5, 4, 4, 6, 6, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 2, 2, 5, 4, 4, 6, 6, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 2, 2, 5, 4, 4, 6, 6, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 6, 8, 7, 8, 8, 10, 12, 11, 13, 13, 10, 12, 11, 13, 13, 10, 12, 11, 13, 13, 10, 11, 13, 13, 8, 8, 10, 12, 11, 13 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 6, 5, 5, 0, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 8, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 7, 7, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 8, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 8, 8, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 2, 1, 4, 1, 6, 6, 9, 9, 0, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 7, 7, 7, 2, 11, 11, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 0, 0, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 0, 0, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 0, 0, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 0, 0, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 3, 1, 2, 1, 0, 5, 1, 2, 1, 7, 1, 2, 2, 2, 1, 0, 1, 1 ]
[ 505, 2116, 505, 280, 330, 51, 32, 51, 4564, 203, 1070, 1671, 1188, 18186, 81, 1070, 203, 823, 11706, 9784, 2639, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2349, 30, 2747, 30, 5551, 711, 291, 630, 32, 1835, 280, 2349, 291, 630, 32, 1978, 280, 1665, 291, 630, 32, 2705, 280, 2747, 291, 630, 32, 3215, 280, 5551, 291, 630, 32, 15009, 280, 3177, 203, 823, 11706, 9784, 26, 1473, 711, 284, 44636, 746, 81, 34652, 891, 280, 225, 43, 45, 284, 1932, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 14300, 81, 5566, 711, 291, 14300, 81, 1835, 81, 891, 280, 2069, 26, 15665, 81, 5566, 27, 291, 1550, 81, 2705, 280, 225, 34, 291, 1550, 280, 1665, 291, 7841, 280, 1665, 291, 2218, 308, 15665, 81, 1835, 81, 891, 429, 1550, 81, 2705, 27, 2377, 630, 32, 348, 2675, 81, 34652, 891, 44, 324, 2349, 81, 891, 30, 2747, 30, 5551, 280, 18186, 81, 1070, 10374, 7121, 14206, 14300, 81, 5566, 30, 1550, 81, 2705, 27, 324, 1550, 81, 2705, 1454, 225, 43, 324, 415, 308, 15665, 81, 1835, 81, 891, 429, 1550, 81, 2705, 27, 333, 2349, 81, 891, 44, 400, 442, 324, 7841, 81, 605, 280, 14300, 81, 5566, 77, 1700, 81, 2705, 44, 1700, 81, 2705, 474, 2349, 81, 891, 79, 324, 1550, 81, 2705, 1454, 2349, 81, 891, 324, 415, 2349, 81, 891, 848, 225, 34, 44, 400, 7841, 280, 11706, 9784, 2639, 26, 2675, 81, 605, 30, 2747, 30, 5551, 27, 324, 813, 44, 400, 7841, 280, 1665, 324, 415, 1550, 438, 646, 1665, 44, 400, 1550, 32, 1978, 280, 7841, 324, 415, 630, 32, 2232, 438, 1665, 44, 400, 630, 32, 2232, 280, 7841, 324, 1550, 280, 7841, 291, 415, 308, 15665, 81, 1835, 81, 891, 429, 1550, 81, 2705, 27, 848, 225, 34, 44, 324, 630, 32, 2232, 280, 1665, 324, 442, 284, 665, 7841, 81, 1253, 26, 784, 711, 291, 442, 630, 32, 2232, 438, 646, 1665, 284, 665, 4871, 81, 2675, 26, 784, 30, 2349, 30, 2747, 711, 291, 1169, 81, 15009, 280, 2933, 291, 415, 630, 32, 2232, 438, 1665, 44, 324, 442, 2349, 291, 1550, 280, 630, 32, 2232, 291, 2218, 1550, 438, 646, 1665, 44, 324, 415, 1550, 32, 15009, 44, 400, 1550, 280, 1550, 32, 1978, 400, 4036, 324, 415, 2747, 2511, 1550, 32, 2705, 333, 308, 2705, 474, 2069, 26, 1835, 8531, 400, 7715, 81, 2705, 280, 1550, 32, 2705, 429, 2747, 400, 415, 1550, 32, 3215, 44, 528, 2349, 280, 2349, 2867, 6558, 81, 2705, 79, 474, 1550, 32, 1835, 474, 2349, 77, 6558, 81, 2705, 10056, 528, 1550, 32, 15009, 280, 2933, 400, 813, 44, 528, 2349, 280, 2349, 2867, 6558, 81, 2705, 79, 474, 1550, 32, 1835, 2867, 1657, 26, 1835, 7824, 6558, 81, 2705, 79, 766, 715, 474, 2349, 77, 6558, 81, 2705, 29, 1657, 26, 1700, 32, 1835, 711, 79, 400, 1169, 81, 15009, 280, 3177, 4288, 4348, 1550, 32, 3215, 461, 308, 1700, 32, 2705, 610, 308, 2705, 474, 2069, 26, 1835, 490, 711, 400, 2349 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 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, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 2, 2, 2, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 7, 4, 4, 6, 6, 4, 4, 6, 6, 4, 4, 5, 9, 9, 9, 9, 9, 8, 8, 9, 9, 7, 6, 6, 7, 8, 8, 8, 8, 8, 5, 5, 5, 10, 10, 9, 9, 9, 9, 8, 8, 10, 10, 10, 12, 12, 10, 11, 11, 10, 10, 11, 11, 10, 6, 6, 9, 9, 8, 8, 9, 6, 6, 7, 11, 11, 11, 11, 11, 10, 10, 11, 11, 9, 8, 8, 9, 9, 7, 7, 7, 6, 6, 9, 9, 8, 8, 10, 10, 9, 11, 11, 11, 10, 12, 12, 12, 11, 11, 12, 12, 9, 6, 6, 9, 9, 8, 8, 9, 9, 6, 6, 7, 9, 9, 8, 8, 9, 7, 7, 7, 10, 10, 12, 12, 12, 13, 13, 13, 12, 12, 12, 12, 12, 7, 7, 8, 8, 8, 11, 11, 6, 6, 7, 8, 8, 8, 7, 7, 7, 11, 12, 10, 10, 6, 6, 7, 9, 10, 8, 8, 7, 7, 7, 11, 12, 10, 10, 6, 6, 8, 8, 4, 4, 5, 9, 9, 9, 9, 9, 8, 8, 9, 9, 7, 6, 6, 7, 5, 5, 5, 9, 10, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 7, 8, 6, 6, 5, 5, 5, 7, 4, 4, 6, 6, 7, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 8, 9, 7, 7, 7, 10, 10, 11, 12, 8, 8, 6, 6, 7, 8, 8, 9, 10, 8, 8, 11, 10, 10, 12, 13, 12, 7, 7, 11, 11, 10, 10, 12, 13, 11, 11, 8, 8, 9, 10, 11, 9, 9, 9, 12, 12, 15, 17, 17, 17, 15, 14, 14, 15, 16, 13, 13, 14, 16, 16, 16, 15, 10, 10, 13, 14, 12, 12, 9, 9, 10, 10, 10, 13, 13, 16, 18, 18, 18, 16, 15, 15, 17, 18, 16, 20, 20, 21, 20, 19, 19, 19, 16, 14, 15, 14, 14, 15, 18, 18, 18, 17, 19, 19, 21, 20, 21, 19, 15, 8, 8, 11, 11, 10, 10, 7, 7, 8, 10, 11, 9, 9, 13, 12, 13, 11, 11, 14, 13, 13, 15, 16, 15, 10, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 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, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 4, 4, 4, 0, 0, 4, 4, 3, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 3, 3, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 3, 3, 5, 0, 0, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 4, 4, 4, 0, 0, 3, 3, 6, 1, 1, 1, 6, 6, 6, 0, 2, 0, 0, 3, 3, 7, 0, 2, 1, 1, 7, 7, 7, 0, 2, 0, 0, 3, 3, 0, 0, 4, 4, 5, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 5, 5, 5, 0, 2, 0, 0, 3, 3, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 2, 2, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 3, 3, 0, 2, 0, 0, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 3, 0, 0, 0, 0, 1, 1, 4, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4 ]
[ 505, 2116, 505, 280, 313, 56, 29626, 9296, 45991, 295, 20, 203, 505, 770, 505, 280, 313, 36, 40, 13102, 225, 36, 34, 35, 40, 20, 203, 465, 2322, 203, 465, 15798, 203, 1070, 457, 3773, 32, 716, 32, 23911, 1188, 447, 1199, 2825, 203, 1070, 457, 3773, 32, 716, 32, 4882, 32, 8774, 1188, 12259, 7233, 203, 823, 2108, 66, 1199, 2338, 26, 2825, 7233, 711, 284, 665, 894, 81, 850, 81, 35, 26, 784, 711, 291, 1795, 280, 1524, 17214, 958, 35, 225, 489, 261, 37075, 68, 399, 261, 37, 40, 958, 37, 43, 32, 35, 34, 41, 261, 39, 35, 32, 40, 36, 42, 264, 37, 32, 35, 34, 37, 261, 34, 32, 39, 34, 225, 38, 37, 32, 35, 37, 2264, 489, 203, 17214, 958, 36, 225, 10556, 225, 37075, 68, 399, 261, 37, 40, 958, 37, 42, 32, 37, 34, 34, 261, 39, 34, 32, 42, 35, 38, 264, 36, 32, 36, 34, 38, 261, 34, 32, 39, 34, 225, 38, 35, 32, 42, 34, 2264, 390, 203, 17214, 958, 37, 225, 546, 261, 37075, 68, 399, 261, 37, 40, 958, 37, 42, 32, 41, 35, 36, 261, 38, 42, 32, 39, 42, 41, 264, 35, 32, 38, 34, 39, 261, 34, 32, 39, 34, 225, 38, 35, 32, 34, 37, 2264, 546, 203, 17214, 958, 38, 225, 32080, 225, 37075, 68, 399, 261, 37, 40, 958, 37, 41, 32, 39, 42, 40, 261, 39, 35, 32, 40, 43, 38, 264, 35, 32, 35, 41, 39, 261, 34, 32, 39, 34, 225, 38, 35, 32, 40, 35, 2264, 390, 203, 17214, 958, 39, 225, 489, 261, 447, 1675, 399, 261, 42, 40, 958, 37, 36, 32, 38, 40, 39, 261, 38, 41, 32, 38, 43, 42, 264, 39, 32, 38, 42, 41, 261, 34, 32, 39, 34, 225, 36, 39, 32, 42, 35, 2264, 489, 203, 17214, 958, 40, 225, 10556, 225, 447, 1675, 399, 261, 42, 40, 958, 37, 36, 32, 40, 41, 34, 261, 38, 42, 32, 37, 34, 37, 264, 38, 32, 36, 42, 42, 261, 34, 32, 39, 34, 225, 36, 40, 32, 38, 39, 2264, 390, 203, 17214, 958, 41, 225, 546, 261, 447, 1675, 399, 261, 42, 40, 958, 37, 35, 32, 38, 40, 43, 261, 39, 34, 32, 37, 36, 40, 264, 37, 32, 41, 39, 42, 261, 34, 32, 39, 34, 225, 36, 42, 32, 38, 41, 2264, 546, 203, 17214, 958, 42, 225, 32080, 225, 447, 1675, 399, 261, 42, 40, 958, 37, 36, 32, 43, 41, 41, 261, 38, 41, 32, 37, 43, 36, 264, 37, 32, 34, 43, 34, 261, 34, 32, 39, 34, 225, 36, 39, 32, 37, 39, 2264, 390, 203, 17214, 958, 43, 225, 489, 261, 5223, 66, 399, 225, 35, 41, 35, 958, 36, 37, 32, 37, 43, 41, 261, 37, 41, 32, 39, 34, 41, 225, 429, 35, 32, 35, 40, 35, 261, 34, 32, 39, 34, 225, 35, 42, 32, 34, 38, 2264, 489, 203, 17214, 647, 35, 34, 225, 10556, 225, 5223, 66, 399, 225, 35, 41, 35, 958 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 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, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 6, 6, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15798, 203, 1070, 594, 17321, 36, 32, 4882, 4676, 1188, 971, 17321, 7233, 203, 1070, 594, 17321, 36, 1188, 10572, 30, 10838, 40672, 30, 36649, 924, 30, 766, 275, 14580, 4888, 203, 2121, 280, 10572, 346, 203, 823, 2616, 7497, 7233, 26, 60, 17321, 7233, 711, 284, 665, 894, 81, 6656, 26, 784, 711, 291, 42963, 280, 4533, 32, 1070, 81, 800, 463, 4572, 436, 1623, 328, 8690, 3328, 1656, 1623, 2038, 4572, 22620, 3328, 683, 291, 1201, 42963, 32, 3169, 26, 4948, 47, 668, 26, 3585, 26, 35, 34, 2610, 610, 330, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 25, 284, 665, 894, 81, 1824, 26, 784, 711, 291, 42963, 280, 4533, 32, 1070, 81, 800, 463, 4572, 436, 1623, 328, 8690, 3328, 9787, 4572, 813, 3328, 1179, 4572, 22620, 3328, 683, 291, 1201, 42963, 32, 3169, 346, 610, 330, 34196, 284, 665, 894, 81, 2951, 81, 8587, 26, 784, 711, 291, 42963, 280, 4533, 32, 1070, 81, 800, 10385, 4572, 436, 1623, 328, 8690, 39227, 813, 39227, 22620, 3328, 22639, 291, 1201, 42963, 32, 3169, 346, 610, 4145, 6457, 284, 665, 894, 81, 1819, 81, 6862, 26, 784, 711, 291, 42963, 280, 4533, 32, 1070, 81, 800, 41412, 4572, 436, 1623, 328, 8690, 429, 26758, 291, 3335, 5258, 32, 1055, 2038, 110, 1656, 5258, 32, 1055, 34, 2038, 110, 1656, 5258, 32, 9882, 1055, 2038, 110, 1656, 324, 5258, 32, 9882, 1055, 34, 2038, 110, 1656, 5258, 32, 2232, 2038, 110, 1656, 5258, 32, 2135, 2038, 110, 1656, 2607, 5258, 32, 1322, 2038, 1482, 4572, 22620, 3328, 2699, 683, 291, 1591, 30, 3134, 30, 617, 280, 42963, 32, 3169, 26, 4948, 6020, 34, 30, 225, 35, 8492, 2998, 463, 1482, 683, 291, 308, 658, 81, 1055, 30, 1591, 81, 1055, 34, 30, 1591, 81, 9882, 1055, 30, 1591, 81, 9882, 1055, 34, 30, 1591, 81, 2232, 30, 276, 1591, 81, 2135, 30, 1591, 81, 1322, 27, 280, 1591, 32, 2998, 44868, 683, 291, 308, 8268, 81, 1055, 30, 3134, 81, 1055, 34, 30, 3134, 81, 9882, 1055, 30, 3134, 81, 9882, 1055, 34, 30, 3134, 81, 2232, 30, 276, 3134, 81, 2135, 30, 3134, 81, 1322, 27, 280, 3134, 32, 2998, 44868, 683, 291, 1201, 629, 26, 658, 81, 1055, 27, 610, 225, 35, 461, 629, 26, 8268, 81, 1055, 27, 610, 225, 36, 291, 1201, 629, 26, 658, 81, 1055, 34, 27, 610, 225, 34, 461, 629, 26, 8268, 81, 1055, 34, 27, 610, 225, 35, 291, 1201, 629, 26, 658, 81, 9882, 1055, 27, 610, 225, 36, 461, 629, 26, 8268, 81, 9882, 1055, 27, 610, 225, 35, 291, 1201, 629, 26, 658, 81, 9882, 1055, 34, 27, 610, 225, 35, 461, 629, 26, 8268, 81, 9882, 1055, 34, 27, 610, 225, 34, 291, 1201, 1591, 81, 2232, 610, 330, 1815, 25, 461, 3134, 81, 2232, 610, 330, 2700, 25, 291, 1201, 1591, 81, 2135, 610, 330, 2700, 25, 461, 3134, 81, 2135, 610, 330, 1815, 25, 291, 1201, 1591, 81, 1322, 610, 3134, 81, 1322, 610, 330, 36, 25, 284, 665, 894, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 2, 1, 3, 0, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 10, 9, 11, 11, 13, 13, 14, 14, 13, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 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, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 6, 6, 10, 11, 10, 12, 11, 13, 12, 12, 13, 12, 9, 8, 10, 10, 4, 4, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 8, 8, 7, 7, 8, 8, 7, 6, 6, 8, 9, 8, 10, 4, 4, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 8, 8, 7, 7, 8, 8, 7, 6, 6, 8, 9, 8, 10, 4, 4, 5, 9, 10, 10, 10, 9, 7, 7, 8, 6, 6, 9, 10, 10, 10, 9, 7, 7, 8, 4, 4, 5, 9, 10, 10, 10, 10, 9, 7, 7, 8, 6, 6, 9, 10, 10, 10, 10, 9, 7, 7, 8, 4, 4, 5, 9, 10, 10, 10, 10, 9, 7, 7, 8, 6, 6, 9, 10, 10, 10, 10, 9, 7, 7, 8, 4, 4, 5, 9, 10, 10, 10, 10, 10, 9, 7, 7, 8, 6, 6, 9, 10, 10, 10, 10, 10, 9, 7, 7, 8, 4, 4, 5, 8, 8, 7, 7, 9, 9, 6, 6, 8, 8, 7, 7, 9, 9, 4, 4, 5, 8, 8, 7, 7, 9, 9, 6, 6, 8, 8, 7, 7, 9, 9, 4, 4, 5, 7, 7, 6, 6, 7, 7, 6, 6, 8, 8, 2, 2, 3, 4 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 9, 2, 0, 0, 0, 0, 0, 1, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 3, 2, 2, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 5, 5, 5, 0, 0, 7, 7, 7, 7, 0, 0, 9, 9, 0, 0, 0, 11, 11, 0, 0, 13, 13, 0, 0, 0, 0, 2, 1, 2, 4, 4, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 5, 5, 5, 0, 0, 7, 7, 7, 7, 0, 0, 9, 9, 0, 0, 0, 11, 11, 0, 0, 13, 13, 0, 0, 0, 0, 2, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 6, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 8, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 4, 4, 9, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 4, 4, 10, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 4, 1 ]
[ 465, 2322, 203, 465, 5237, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 12757, 710, 38243, 81, 14769, 81, 4065, 785, 474, 766, 357, 202, 18010, 8121, 33, 2958, 33, 16923, 31, 4790, 31, 1733, 33, 1356, 33, 16923, 33, 4790, 683, 203, 1070, 24605, 81, 5707, 81, 1819, 1188, 319, 203, 1070, 7349, 1188, 319, 203, 1070, 7280, 1188, 319, 203, 3798, 81, 751, 280, 2149, 203, 93, 464, 5815, 874, 280, 1605, 203, 589, 622, 81, 93, 464, 5815, 874, 81, 1274, 2262, 203, 202, 3264, 831, 464, 5815, 874, 203, 202, 1270, 44, 357, 202, 88, 280, 2156, 4207, 6789, 33, 93, 464, 5815, 874, 392, 313, 100, 657, 203, 202, 7343, 44, 357, 202, 601, 203, 202, 979, 1628, 328, 296, 44, 357, 202, 881, 280, 629, 26, 928, 32, 2998, 8532, 34, 614, 225, 35, 40, 27, 357, 202, 426, 280, 1628, 32, 2998, 8532, 36, 79, 357, 202, 93, 464, 5815, 874, 32, 1689, 1162, 881, 30, 636, 490, 203, 202, 93, 464, 5815, 874, 32, 3323, 346, 203, 589, 622, 81, 7919, 26, 101, 881, 711, 203, 202, 881, 280, 629, 26, 101, 881, 27, 203, 202, 1366, 30, 943, 280, 429, 35, 30, 2069, 26, 93, 464, 5815, 874, 27, 203, 202, 5525, 943, 863, 1477, 474, 225, 35, 44, 357, 202, 23444, 280, 308, 1366, 474, 943, 27, 434, 225, 36, 357, 202, 325, 2587, 333, 831, 464, 5815, 874, 77, 23444, 1674, 34, 2786, 355, 202, 416, 280, 20991, 357, 202, 1824, 44, 355, 202, 1366, 280, 20991, 203, 202, 325, 1477, 2377, 225, 34, 44, 357, 202, 7919, 881, 30, 636, 280, 831, 464, 5815, 874, 77, 1366, 79, 357, 202, 601, 308, 426, 30, 2587, 429, 5013, 881, 27, 203, 202, 1824, 44, 357, 202, 601, 308, 2521, 30, 225, 34, 27, 203, 589, 1459, 81, 3798, 81, 1274, 2262, 203, 202, 1216, 5461, 36, 39, 101, 904, 36, 39, 101, 904, 36, 39, 101, 20, 904, 2884, 17033, 392, 313, 10158, 392, 313, 7498, 657, 203, 202, 979, 595, 328, 6278, 81, 751, 32, 3494, 2262, 357, 202, 26, 7919, 30, 2126, 27, 280, 622, 81, 7919, 26, 91, 27, 357, 202, 325, 5013, 610, 1665, 44, 355, 202, 7919, 280, 595, 357, 202, 1216, 5461, 36, 39, 101, 904, 36, 39, 101, 904, 36, 39, 101, 20, 904, 308, 7919, 30, 2126, 30, 6278, 81, 751, 77, 91, 1130, 203, 589, 8244, 81, 2409, 2262, 203, 202, 1216, 313, 15624, 8244, 308, 9479, 31, 53, 372, 10128, 3276, 4731, 203, 589, 8244, 81, 416, 2262, 203, 202, 1216, 313, 33564, 299, 831, 464, 5815, 874, 706, 20, 203, 202, 371, 81, 93, 464, 5815, 874, 81, 1274, 346, 203, 202, 1216, 81, 3798, 81, 1274, 346, 203, 589, 3001, 84, 505, 93, 3994, 81, 26932, 26, 426, 30, 1619, 30, 10895, 30, 8382, 30, 310, 4215, 30, 12497, 30, 19757, 30, 1476, 5074, 30, 15774, 3001, 84, 3225, 30, 3894, 30, 7079, 711, 203, 202, 101, 2645, 280, 596, 26, 2645, 27, 203, 202, 1270, 44, 357 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 4, 4, 4, 2, 2, 3, 3, 3, 3, 7, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 3, 3, 4, 4, 4, 4, 6, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 6, 6, 8, 12, 11, 12, 11, 10, 9, 8, 9, 9, 8, 4, 4, 7, 6, 6, 9, 10, 9, 8, 7, 4, 4, 8, 8, 8, 8, 7, 8, 7, 9, 8, 8, 8, 2, 2, 6, 6, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 6, 7, 7, 6, 2, 2, 6, 5, 5, 4, 4, 7, 5, 5, 7, 8, 8, 8, 8, 7, 2, 2, 3, 3, 4, 4, 5, 5, 6, 3, 3, 3, 7, 6, 6, 10, 9, 9, 8, 7, 7, 8, 4, 4, 5, 5, 6, 6, 9, 9, 9, 8, 9, 8, 8, 7, 5, 5, 9, 8, 8, 5, 5, 6, 6, 6, 6, 10, 9, 9, 2, 2, 3, 3, 4, 4, 5, 3, 3, 3, 8, 8, 7, 7, 6, 6, 8, 8, 8, 7, 8, 7, 4, 4, 5, 5, 7, 6, 6, 7, 7, 8, 6, 3, 3, 4, 4, 4, 4, 6, 6, 8, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 3, 3, 3, 3, 6, 6, 5, 6, 5, 3, 3, 7, 8, 7, 7, 7, 6, 6, 8, 8, 8, 9, 8, 4, 4, 5, 5, 6, 6, 5, 5, 5, 9, 8, 8, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 7, 7, 7, 9, 9, 8, 9, 8, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 3, 3, 3, 3, 0, 4, 4, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 0, 2, 1, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 9, 9, 1, 1, 2, 1, 1, 2, 9, 9, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 3, 3, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 4, 4, 4, 4, 0, 0, 0, 4, 4, 3, 3, 1, 1, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 3, 3, 2, 1, 3, 3, 4, 4, 4, 4, 0, 0, 1, 1, 1, 3, 1, 0, 10, 10, 1, 1, 1, 1, 2, 10, 10, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 5, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 5, 2, 5, 0, 11, 11, 1, 1, 2, 11, 11, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 12, 12, 1, 1, 2, 12, 12, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 13, 13, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 15, 2, 2, 2, 17, 17, 2, 2, 2, 2, 2, 13, 13, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1 ]
[ 823, 7703, 4216, 5756, 26, 1473, 711, 284, 47459, 2893, 280, 5881, 203, 2184, 44, 334, 8668, 44, 284, 3048, 44, 397, 429, 19584, 8668, 372, 26391, 8187, 32, 25082, 1244, 2078, 436, 439, 26, 2393, 27, 461, 291, 439, 26, 2393, 81, 681, 547, 1348, 3395, 438, 646, 5349, 415, 439, 26, 2393, 27, 438, 3943, 556, 415, 291, 3927, 3113, 6642, 22801, 4706, 4886, 884, 5024, 32, 284, 2129, 44, 901, 334, 3796, 44, 284, 3048, 44, 397, 429, 10435, 6621, 3796, 2471, 619, 5349, 810, 322, 8668, 1182, 3796, 291, 3973, 13689, 32, 2616, 322, 1244, 439, 26, 2895, 27, 3973, 30, 458, 2268, 4799, 291, 439, 26, 2393, 81, 965, 471, 439, 26, 699, 471, 439, 26, 2895, 471, 439, 26, 2250, 81, 426, 27, 461, 1346, 291, 2471, 2625, 24627, 415, 322, 8668, 9567, 3026, 32, 2616, 1604, 10252, 30, 291, 458, 4356, 1098, 1849, 372, 4799, 17013, 3377, 688, 3796, 3973, 291, 7171, 32, 1348, 3395, 438, 646, 5349, 415, 312, 8189, 8668, 438, 3943, 556, 291, 3927, 3113, 6642, 22801, 4706, 4886, 884, 5024, 32, 284, 2129, 44, 901, 334, 3796, 81, 681, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 3796, 3973, 372, 793, 32, 1670, 322, 8668, 5251, 4660, 1604, 2784, 291, 3882, 9156, 30, 322, 636, 432, 322, 3973, 1395, 526, 26980, 2442, 291, 461, 322, 7299, 432, 322, 439, 26, 2393, 27, 3395, 1395, 526, 4459, 23601, 32, 284, 2129, 44, 901, 284, 1244, 44, 3882, 334, 6699, 81, 426, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 6699, 32, 284, 2129, 44, 901, 334, 4465, 44, 284, 3048, 44, 397, 429, 9043, 28520, 4465, 6222, 322, 8843, 2869, 438, 6153, 32, 284, 2129, 44, 901, 284, 1244, 44, 313, 7134, 20, 284, 16682, 44, 3037, 7134, 392, 313, 1347, 1446, 334, 5868, 44, 284, 3048, 44, 397, 429, 4971, 1946, 1395, 28520, 4465, 436, 322, 8843, 2869, 32, 284, 2129, 44, 901, 284, 1244, 44, 225, 35, 42, 34, 334, 4125, 81, 5457, 44, 284, 3048, 44, 397, 429, 4971, 1946, 1395, 322, 6234, 5396, 4465, 2670, 21431, 963, 436, 2330, 7399, 32, 291, 1670, 458, 438, 24143, 30, 7553, 1098, 526, 5403, 372, 322, 5167, 4253, 32, 284, 2129, 44, 901, 284, 1244, 44, 1665, 334, 6042, 81, 23545, 44, 284, 3048, 44, 397, 429, 14071, 556, 646, 14156, 2330, 5167, 1395, 526, 20442, 32, 16900, 225, 36, 32, 37, 458, 1244, 318, 372, 2933, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 20664, 44, 2107, 6967, 785, 334, 281, 329, 581, 44, 284, 3048, 44, 397, 429, 399, 1519, 372, 312, 10556, 22043, 9914, 688, 883, 526, 1654, 619, 1742, 432, 6144, 299, 291, 14156, 2330, 5167, 32, 284, 2129, 44, 901, 284, 1244, 44, 1665, 334, 6445, 44, 284, 3048, 44, 397, 429, 399, 1519, 372, 312, 2043, 10282, 372, 793, 619, 1742, 432, 322, 14156, 6141, 32, 284, 2129, 44, 901, 284, 1244, 44, 1665, 334, 1202, 44, 284, 3048, 44, 397, 429, 399, 1519, 372, 312, 2043, 1202, 372, 793, 619 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29590, 203, 465, 316, 203, 1070, 10773, 32, 21752, 8524, 1188, 1984, 2208, 203, 1070, 10773, 32, 751, 1188, 4082, 203, 1070, 10773, 32, 1040, 1188, 540, 41718, 30, 2503, 81, 983, 30, 1476, 81, 27958, 203, 1070, 10773, 32, 37645, 1188, 354, 1729, 30, 3036, 2422, 203, 1070, 10773, 32, 4984, 1188, 1519, 81, 452, 81, 965, 203, 823, 551, 1373, 19136, 26, 2062, 2422, 711, 284, 636, 280, 330, 13910, 100, 25, 284, 24797, 280, 5608, 13910, 100, 25, 284, 5867, 81, 426, 280, 330, 6586, 25, 284, 9914, 81, 761, 280, 330, 13910, 100, 31, 6586, 32, 2760, 25, 284, 43255, 280, 2726, 13910, 100, 370, 330, 13910, 100, 29, 525, 370, 330, 13910, 100, 29, 641, 370, 330, 13910, 100, 29, 9404, 370, 330, 13910, 100, 29, 6449, 491, 370, 330, 13910, 100, 29, 14123, 370, 330, 13910, 100, 29, 1915, 683, 284, 8630, 280, 2726, 21, 1348, 1597, 312, 551, 1373, 19136, 5573, 45, 372, 1930, 561, 312, 5573, 4056, 1420, 3491, 96, 25, 1802, 330, 13910, 100, 5573, 429, 100, 18147, 9882, 27, 101, 18147, 965, 27, 101, 42024, 96, 683, 284, 665, 1156, 1664, 3207, 784, 30, 1984, 47, 2521, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 52, 1373, 19136, 30, 630, 14585, 1664, 3207, 965, 30, 319, 1132, 30, 1115, 5321, 27, 291, 415, 18623, 26, 965, 2208, 30, 330, 7668, 81, 9854, 370, 1665, 711, 324, 1984, 2208, 32, 7668, 81, 9854, 32, 8233, 4901, 1915, 3490, 324, 1984, 2208, 32, 3780, 81, 46061, 32, 8233, 4901, 1915, 3490, 284, 665, 3185, 81, 37645, 81, 8366, 81, 761, 26, 784, 30, 1795, 711, 291, 1984, 280, 14093, 280, 1665, 291, 436, 1628, 328, 1795, 32, 2998, 4446, 2262, 324, 415, 646, 1628, 32, 7201, 346, 556, 1628, 32, 7201, 922, 15990, 3609, 7831, 400, 4036, 324, 2530, 280, 316, 32, 1903, 26, 100, 28249, 13910, 100, 78, 101, 28, 6586, 78, 101, 7455, 100, 78, 101, 28, 4987, 86, 3730, 370, 1628, 27, 324, 415, 2530, 44, 400, 14093, 280, 2530, 32, 1363, 26, 35, 547, 7201, 346, 324, 1984, 280, 1628, 77, 2872, 32, 416, 2262, 997, 7201, 922, 2998, 26, 2521, 30, 225, 35, 5594, 34, 79, 324, 415, 1984, 461, 14093, 44, 400, 442, 1984, 30, 14093, 291, 442, 1665, 30, 1665, 284, 665, 4166, 26, 784, 30, 3894, 711, 291, 1779, 81, 1515, 280, 29590, 32, 4765, 86, 1433, 12605, 1358, 370, 330, 9060, 31, 683, 291, 630, 32, 15404, 26, 1433, 81, 1515, 27, 291, 415, 2322, 32, 983, 32, 4658, 26, 2645, 711, 324, 540, 41718, 26, 2645, 27, 291, 1596, 44, 324, 1476, 81, 27958, 2009, 784, 32, 3515, 30, 330, 1358, 370, 3894, 614, 24390, 47, 1433, 81, 1515, 30, 1014, 2761, 81, 9362, 47, 784, 1114, 2029, 30, 2519, 81, 9362, 47, 2700, 27, 291, 8295, 44, 324, 540, 41718, 26, 1433, 81, 1515, 27, 284, 665, 3578, 26, 784, 30, 3466, 30, 1984, 30, 14093, 81, 2184, 711, 291, 1476, 81, 27958, 2009, 784, 32, 3515 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 2, 2, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 4, 4, 5, 7, 8, 8, 7, 7, 9, 9, 9, 9, 7, 7, 5, 5, 11, 10, 11, 11, 11, 9, 10, 9, 12, 12, 6, 6, 11, 10, 11, 11, 11, 9, 10, 9, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 7, 4, 4, 5, 5, 5, 7, 8, 8, 7, 5, 5, 7, 9, 11, 12, 11, 8, 8, 12, 13, 12, 11, 10, 12, 7, 7, 6, 6, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 6, 6, 7, 7, 7, 7, 10, 10, 14, 15, 14, 15, 14, 13, 12, 6, 6, 8, 8, 14, 18, 17, 18, 17, 14, 14, 13, 12, 11, 12, 11, 11, 12, 11, 10, 9, 6, 6, 7, 8, 8, 7, 7, 7, 9, 10, 10, 4, 4, 5, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 5, 8, 9, 7, 8, 7, 8, 7, 5, 5, 9, 9, 10, 9, 4, 4, 5, 5, 5, 9, 9, 9, 12, 11, 12, 10, 10, 12, 12, 10, 10, 9, 10, 11, 11, 11, 9, 9, 9, 11, 11, 10, 12, 11, 12, 9, 9, 11, 11, 10, 11, 9, 5, 5, 6, 6, 6, 10, 10, 11, 11, 11, 10, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 10, 9, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 2, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 0, 8, 8, 1, 1, 2, 1, 1, 2, 8, 8, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 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, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 4, 4, 6, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 3, 3, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 4, 4, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 2, 2, 4, 4, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 5, 5, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 5, 5, 4, 1, 1, 4, 4, 4, 0, 1, 1, 4, 4, 2, 1, 1, 4, 4, 8, 2, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 4, 4, 3, 3, 3, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 0, 2, 2, 1, 1, 0, 0, 7, 2, 1, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 4, 4, 9, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 9, 9, 0, 0, 1, 0, 1, 2 ]
[ 465, 2322, 203, 465, 16539, 203, 465, 2361, 203, 465, 5167, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 1070, 3639, 4785, 32, 1356, 1188, 9612, 203, 1070, 3639, 4785, 32, 17056, 2983, 352, 1188, 308, 334, 7155, 4216, 3442, 30, 5235, 45187, 30, 5235, 5022, 8220, 30, 5235, 5548, 30, 5235, 5548, 2275, 30, 5235, 4361, 203, 27, 203, 1070, 3639, 4785, 32, 1356, 32, 3481, 1188, 45187, 2275, 30, 622, 5197, 41419, 203, 1070, 3639, 4785, 32, 1356, 32, 20784, 1188, 37164, 81, 6513, 30, 37164, 81, 10765, 30, 37164, 81, 16582, 203, 1070, 3639, 4785, 32, 4682, 2518, 1188, 9086, 203, 1070, 3639, 4785, 32, 1356, 32, 9660, 1188, 12198, 203, 465, 40946, 203, 465, 2322, 203, 589, 8488, 81, 4682, 26, 284, 706, 81, 668, 30, 3701, 1780, 47, 2521, 30, 3701, 1932, 81, 2310, 81, 11667, 47, 2521, 30, 284, 2401, 81, 2310, 81, 11667, 47, 2521, 30, 284, 15111, 47, 2521, 203, 711, 284, 706, 280, 706, 81, 668, 77, 34, 79, 284, 706, 710, 4682, 785, 280, 2149, 284, 415, 1780, 44, 291, 1201, 26, 38003, 26, 1311, 30, 596, 490, 291, 706, 710, 4682, 4902, 1311, 785, 280, 1780, 284, 415, 1932, 81, 2310, 81, 11667, 44, 291, 1201, 26, 38003, 26, 2232, 81, 2310, 81, 11667, 30, 596, 490, 291, 706, 710, 4682, 4902, 2232, 81, 2310, 81, 11667, 785, 280, 1932, 81, 2310, 81, 11667, 284, 415, 2401, 81, 2310, 81, 11667, 44, 291, 1201, 26, 38003, 26, 2135, 81, 2310, 81, 11667, 30, 596, 490, 291, 706, 710, 4682, 4902, 2135, 81, 2310, 81, 11667, 785, 280, 2401, 81, 2310, 81, 11667, 284, 415, 15111, 44, 291, 1201, 26, 38003, 26, 11868, 30, 1149, 490, 291, 436, 2898, 328, 15111, 44, 324, 1201, 26, 38003, 26, 4189, 30, 596, 490, 291, 706, 710, 4682, 4902, 11868, 785, 280, 15111, 203, 589, 4479, 81, 878, 26, 284, 1344, 30, 284, 1334, 47, 2521, 30, 3701, 13764, 47, 2700, 30, 3701, 3014, 47, 2521, 30, 3701, 1963, 1057, 7021, 370, 3701, 2357, 558, 47, 2521, 203, 711, 284, 415, 646, 6937, 26, 878, 30, 596, 711, 291, 1344, 280, 1344, 3667, 466, 16369, 284, 298, 280, 45187, 2275, 463, 858, 683, 284, 415, 2357, 558, 44, 291, 298, 32, 2186, 558, 280, 2357, 558, 284, 415, 1334, 44, 291, 298, 32, 23180, 280, 1334, 291, 298, 32, 28103, 280, 1334, 319, 225, 35, 32, 36, 284, 415, 13764, 44, 291, 1344, 280, 4145, 84, 28093, 101, 377, 84, 6457, 904, 1344, 284, 298, 32, 43170, 280, 1963, 284, 415, 3014, 44, 291, 298, 32, 18842, 280, 3014, 284, 442, 45187, 26, 878, 30, 298, 27, 203, 589, 622, 81, 38186, 81, 4687, 26, 38186, 81, 314, 711, 284, 4826, 280, 5053, 1286, 31, 681, 950, 330, 3164, 33, 1260, 6040, 284, 1695, 81, 965, 280, 330, 525, 555, 5007, 44, 43, 34, 34, 34, 33, 1237, 25, 284, 1984, 280, 6611, 101, 33, 38186, 9708, 86, 25, 904, 308, 1439, 81, 965, 30, 37229, 81, 314, 27, 284, 1596, 44, 291, 540, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 4, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 2, 2, 3, 4, 2, 2, 1, 1, 4, 4, 6, 6, 5, 6, 5, 2, 2, 5, 7, 7, 4, 4, 2, 2, 3, 3, 3, 3, 6, 8, 8, 9, 8, 8, 8, 4, 4, 8, 10, 10, 9, 9, 6, 6, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 6, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 4, 4, 8, 10, 10, 9, 9, 9, 9, 9, 9, 6, 6, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 6, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 4, 4, 8, 10, 10, 9, 9, 9, 9, 9, 9, 6, 6, 7, 7, 7, 7, 2, 2, 3, 3, 3, 3, 6, 8, 8, 9, 8, 8, 8, 4, 4, 5, 5, 5, 5, 5, 5, 8, 10, 10, 11, 10, 10, 10, 4, 4, 8, 10, 10, 9, 9, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 2, 2, 3, 5, 5, 2, 2, 4, 3, 4, 2, 2, 1, 1, 3, 4, 6, 7, 6, 6, 6, 3, 3, 6, 6, 8, 9, 9, 2, 2, 4, 4, 6, 6, 8, 8, 2, 2, 3, 4, 3, 3, 3, 7, 8, 8, 6, 6, 7, 2, 2, 3, 3, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 8, 8, 8, 2, 2, 3, 3, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 5, 6, 4, 4, 2, 2, 3, 3, 3, 3, 7, 8, 6, 6, 2, 2, 3, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 8, 8, 8, 8, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 3, 3, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 2, 2, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 2, 9, 9, 0, 10, 10, 0, 1, 2, 1, 4, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 0, 7, 2, 2, 2, 2, 9, 2, 2, 2, 13, 13, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 1, 2, 0, 0, 4, 4, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 1, 2, 1, 2, 0, 0, 4, 4, 3, 1, 1, 1, 1, 3, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 4, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 1, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 1, 2, 1, 2, 0, 0, 0, 14, 14, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 7, 2, 2, 2, 2, 9, 1, 2, 2, 2, 0, 11, 2, 2, 2, 14, 14, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 4, 4, 3, 3, 3, 3, 0, 2, 0, 0, 3, 3, 0, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 6, 6, 6, 6, 0, 2, 0, 0, 4, 4, 7, 1, 1, 1, 1, 1, 0, 15, 15, 1, 1, 1, 1, 2, 1, 1, 1, 2, 15, 15, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 3, 3, 3, 0 ]
[ 465, 5741, 203, 465, 1133, 203, 465, 3995, 203, 1070, 7120, 366, 445, 32, 1580, 32, 4190, 1188, 1048, 203, 50, 731, 32, 1819, 81, 32811, 203, 589, 1420, 26, 858, 30, 2803, 30, 4533, 711, 284, 8508, 280, 4533, 32, 371, 81, 3149, 26, 2132, 1365, 1831, 81, 3149, 6890, 284, 8508, 32, 6967, 81, 19145, 346, 284, 6207, 81, 5457, 280, 629, 26, 2132, 32, 371, 440, 3615, 81, 5457, 392, 225, 37, 40, 34, 490, 284, 3523, 280, 8508, 32, 1684, 81, 979, 81, 3615, 26, 5457, 47, 3615, 81, 5457, 27, 284, 3523, 36, 280, 8508, 32, 1684, 81, 979, 81, 3615, 26, 5457, 47, 3615, 81, 5457, 27, 284, 7481, 81, 3515, 280, 2803, 32, 371, 440, 4155, 81, 3515, 657, 284, 1048, 32, 1819, 440, 1103, 4393, 31455, 436, 21578, 6642, 4414, 5741, 32, 1338, 27, 284, 3523, 32, 3515, 81, 2024, 26, 4866, 81, 3515, 30, 5868, 47, 40, 34, 27, 284, 1048, 32, 1819, 440, 10570, 322, 3208, 2164, 438, 3974, 657, 284, 1505, 81, 3515, 280, 2803, 32, 371, 440, 1553, 81, 3515, 657, 284, 3523, 36, 32, 3515, 26, 1553, 81, 3515, 30, 5868, 47, 40, 34, 27, 284, 1048, 32, 1819, 440, 15160, 436, 312, 3995, 1133, 392, 5741, 32, 1338, 27, 284, 1133, 32, 7840, 26, 3855, 32, 6386, 3585, 26, 37, 34, 30, 225, 35, 34, 34, 490, 284, 3523, 36, 32, 3515, 26, 1553, 81, 3515, 30, 5868, 47, 40, 34, 27, 284, 1048, 32, 1819, 440, 27875, 322, 8551, 392, 5741, 32, 1338, 27, 284, 8508, 32, 2416, 32, 2679, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 2, 4, 3, 4, 4, 4, 1, 2, 2, 3, 4, 3, 3, 3, 3, 3, 2, 2, 5, 5, 7, 8, 8, 8, 7, 9, 8, 10, 10, 10, 10, 3, 3, 6, 7, 7, 7, 6, 3, 3, 6, 6, 5, 5, 7, 10, 9, 10, 9, 11, 11, 11, 11, 9, 10, 10, 10, 9, 3, 3, 5, 5, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 3, 3, 6, 5, 5, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 3, 3, 6, 6, 5, 5, 7, 8, 7, 9, 9, 9, 9, 3, 3, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 6, 7, 8, 6, 3, 3, 6, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 8, 8, 6, 3, 3, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 5, 5, 7, 8, 7, 9, 9, 9, 9, 3, 3, 7, 6, 7, 6, 7, 7, 7, 6, 6, 7, 8, 8, 6, 3, 3, 6, 7, 6, 8, 8, 8, 8, 8, 8, 6, 7, 8, 6, 3, 3, 6, 7, 6, 9, 8, 9, 9, 8, 9, 9, 8, 8, 9, 9, 9, 8, 3, 3, 7, 6, 7, 6, 7, 7, 7, 6, 6, 7, 8, 8, 6, 3, 3, 6, 7, 6, 8, 8, 8, 8, 6, 7, 8, 6, 3, 3, 7, 8, 6, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 1, 2, 2, 2, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2108, 57, 2983, 203, 465, 316, 203, 465, 16539, 203, 465, 5237, 203, 465, 1133, 203, 325, 5237, 32, 5134, 610, 330, 24917, 950, 334, 894, 280, 2108, 57, 2983, 32, 1006, 57, 2983, 26, 17213, 11414, 46756, 370, 330, 2682, 370, 330, 37918, 3490, 334, 5557, 3197, 1057, 7201, 25, 334, 894, 32, 1945, 81, 24523, 463, 858, 31, 10514, 32, 24523, 370, 663, 1515, 47, 1405, 3197, 27, 334, 894, 32, 1832, 463, 858, 31, 10514, 32, 24523, 370, 894, 32, 2320, 30, 663, 1515, 47, 1405, 3197, 27, 334, 665, 4306, 1215, 26, 101, 711, 284, 442, 894, 32, 8282, 81, 761, 81, 983, 26, 101, 30, 663, 1515, 47, 1405, 3197, 27, 334, 665, 3456, 64, 5815, 874, 26, 98, 30, 337, 81, 3140, 711, 284, 11504, 280, 16539, 32, 45606, 4901, 14276, 370, 6470, 83, 71, 370, 298, 614, 12532, 47, 27958, 32, 18165, 27, 284, 337, 280, 11504, 32, 508, 48275, 8532, 34, 79, 284, 337, 280, 35617, 2524, 26, 2029, 26, 5962, 309, 44, 330, 2315, 100, 555, 39, 40, 35, 38, 39, 38, 36, 25, 646, 328, 309, 30, 337, 32, 2998, 4446, 26, 1815, 2610, 284, 337, 280, 337, 32, 3227, 463, 51, 370, 330, 70, 683, 284, 337, 280, 316, 32, 1113, 26, 100, 28249, 77, 83, 31, 41961, 31, 56, 34, 31, 43, 6155, 370, 330, 27712, 370, 337, 30, 5736, 47, 268, 32, 24924, 1466, 3123, 27, 284, 1201, 646, 11504, 32, 601, 687, 284, 415, 337, 863, 337, 81, 3140, 44, 397, 1459, 330, 20064, 11747, 44, 11963, 15455, 1524, 78, 96, 23, 101, 37616, 5424, 1524, 78, 96, 23, 101, 2993, 25, 904, 308, 616, 337, 81, 3140, 30, 337, 27, 397, 894, 32, 5066, 81, 858, 346, 334, 3456, 64, 5815, 874, 26, 1512, 1215, 463, 1356, 6270, 81, 27032, 32, 27032, 1425, 203, 2993, 78, 203, 27712, 358, 617, 1871, 203, 27712, 358, 617, 91, 203, 27712, 394, 617, 1382, 81, 1126, 203, 27712, 273, 617, 1382, 81, 3864, 81, 1126, 203, 27712, 394, 617, 1382, 81, 3985, 81, 1126, 203, 27712, 394, 617, 1382, 81, 7891, 81, 1126, 203, 41135, 334, 3456, 64, 5815, 874, 26, 1512, 1215, 463, 6270, 81, 762, 32, 762, 1425, 203, 2993, 78, 203, 27712, 358, 617, 1871, 203, 27712, 358, 617, 91, 203, 27712, 394, 617, 1382, 81, 1126, 203, 27712, 273, 617, 1382, 81, 3864, 81, 1126, 203, 27712, 394, 617, 1382, 81, 3985, 81, 1126, 203, 27712, 394, 617, 1382, 81, 7891, 81, 1126, 203, 41135, 334, 3456, 64, 5815, 874, 26, 1512, 1215, 463, 6270, 81, 8022, 1425, 203, 2993, 78, 203, 27712, 394, 1156, 20924, 81, 4526, 81, 2111, 203, 41135, 334, 3456, 64, 5815, 874, 26, 858, 32, 8282, 81, 761, 81, 983, 26, 397, 330, 8366, 81, 27032, 32, 2846, 33, 12778, 33, 51, 33, 8366, 81, 27032, 370, 663, 1515, 47, 1405, 3197, 471, 203, 2993, 78, 203, 27712, 358, 617, 1871, 203, 27712, 358, 617, 91, 203, 27712, 394, 617, 1382, 81, 1126, 203, 27712, 273, 617, 1382, 81, 3864 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 4, 4, 1, 1, 4, 4, 7, 7, 6, 7, 7, 7, 6, 8, 7, 10, 10, 8, 10, 10, 8, 10, 10, 2, 2, 5, 4, 6, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 7, 6, 7, 7, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 5, 6, 7, 5, 5, 7, 6, 7, 7, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 9, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 9, 8, 11, 11, 9, 11, 11, 11, 9, 9, 8, 9, 11, 10, 11, 8, 4, 4, 6, 6, 9, 10, 10, 9, 8, 7, 4, 4, 6, 6, 9, 8, 10, 10, 11, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 12, 10, 10, 12, 13, 13, 12, 13, 12, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 8, 8, 8, 9, 11, 10, 11, 11, 11, 8, 4, 4, 5, 6, 7, 8, 8, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 7, 10, 10, 10, 10, 10, 10, 11, 11, 10, 10, 10, 10, 10, 11, 11, 10, 10, 10, 10, 8, 8, 9, 9, 10, 10, 9, 9, 9, 6, 6, 9, 10, 10, 10, 9, 2, 2, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 5, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 5, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 9, 5, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 8, 7, 8, 8, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 8, 9, 9, 7, 5, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 0, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 0, 5, 2, 2, 1, 3, 3, 4, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 1, 3, 3, 5, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 2, 2, 4, 4, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 7, 0, 2, 2, 2, 2, 1, 4, 4, 5, 1, 1, 2, 2, 4, 4, 6, 1, 1, 2, 2, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 2, 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 ]
[ 465, 6436, 619, 2065, 203, 1070, 6436, 32, 4266, 1188, 1201, 81, 35502, 203, 465, 13092, 203, 1070, 13092, 1188, 29657, 203, 1070, 10020, 10328, 1188, 9991, 619, 1044, 203, 1070, 10020, 10328, 32, 45026, 1188, 624, 3746, 203, 1070, 10020, 10328, 32, 4882, 32, 4313, 1188, 1201, 81, 10954, 81, 35502, 203, 1070, 10020, 10328, 32, 45026, 32, 45026, 1237, 32, 2304, 1188, 16975, 81, 823, 30, 341, 1729, 81, 1338, 81, 466, 203, 589, 894, 81, 6309, 2262, 284, 1056, 280, 16975, 81, 823, 39109, 633, 10328, 32, 9660, 32, 13017, 370, 308, 35, 34, 28020, 5053, 2243, 950, 330, 7273, 6040, 490, 284, 1201, 81, 10954, 81, 35502, 26, 1267, 30, 225, 35, 34, 319, 1044, 32, 7273, 27, 203, 589, 894, 81, 1347, 6309, 2262, 284, 1056, 280, 16975, 81, 823, 39109, 633, 10328, 32, 9660, 32, 13017, 370, 23296, 5053, 2243, 950, 330, 7273, 45306, 8520, 47, 2700, 27, 284, 1201, 1056, 610, 308, 103, 32, 13017, 30, 23296, 5053, 2243, 950, 330, 7273, 18143, 203, 589, 894, 81, 5790, 2262, 284, 623, 29657, 26, 22239, 27, 619, 13489, 44, 291, 16975, 81, 823, 39109, 633, 10328, 32, 9660, 32, 13017, 370, 23296, 5053, 2243, 950, 330, 7273, 8885, 308, 2610, 284, 1201, 13489, 32, 853, 32, 1132, 77, 34, 79, 610, 330, 7700, 312, 8825, 432, 8019, 2078, 25, 203, 5807, 81, 35, 54, 81, 2378, 280, 1524, 203, 73, 3746, 40207, 203, 2272, 17488, 1401, 225, 35, 6573, 461, 225, 35, 5788, 13135, 203, 1261, 6024, 308, 64, 4714, 2532, 711, 1665, 203, 7034, 9694, 225, 27337, 3270, 225, 2398, 1334, 225, 42805, 276, 34, 225, 1665, 1468, 1665, 225, 1665, 203, 6708, 9694, 225, 27337, 3270, 225, 29582, 2768, 225, 33006, 276, 34, 225, 1665, 958, 1665, 2264, 8665, 203, 35530, 3733, 6573, 461, 5788, 17478, 44, 2607, 20177, 9694, 203, 6708, 9694, 262, 34, 276, 34, 225, 9155, 203, 2993, 203, 589, 894, 81, 45026, 81, 1338, 81, 466, 2262, 284, 341, 1729, 81, 2951, 280, 624, 3746, 26, 96, 5082, 47, 35, 27, 284, 1201, 341, 1729, 81, 1338, 81, 466, 26, 45026, 81, 2951, 547, 7201, 346, 610, 4040, 81, 35, 54, 81, 2378, 32, 7201, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 8, 7, 11, 11, 9, 11, 11, 7, 2, 2, 5, 5, 5, 5, 5, 6, 5, 5, 7, 7, 6, 6, 7, 8, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 7, 11, 11, 9, 11, 11, 6, 7, 8, 6, 2, 2, 3, 4, 4, 7, 6, 7, 5, 5, 5, 9, 9, 7, 9, 9, 0, 1, 1, 2, 2, 2, 1, 1, 3, 8, 9, 8, 6, 6, 3, 3, 3, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 12, 12, 10, 12, 12, 8, 9, 2, 2, 3, 7, 8, 6, 7, 5, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 8, 8, 7, 8, 6, 2, 2, 3, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 7, 6, 4, 4, 7, 7, 7, 7, 7, 6, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 3, 3, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 4, 1, 6, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 8, 8, 1, 1, 2, 8, 8, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 3, 2, 2, 1, 0, 9, 9, 1, 1, 1, 2, 9, 9, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 10, 10, 1, 1, 2, 10, 10, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 7, 4, 4, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 1, 1, 1, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 4, 4, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 5741, 1188, 622, 3703, 203, 1070, 309, 836, 101, 1188, 319, 203, 465, 309, 836, 101, 32, 7982, 619, 8607, 203, 1070, 309, 836, 101, 32, 31983, 1188, 18711, 203, 751, 280, 622, 3703, 4064, 426, 8223, 203, 823, 4851, 3373, 44, 284, 665, 1156, 1664, 3207, 784, 30, 341, 18706, 30, 2719, 711, 291, 630, 32, 39267, 280, 341, 18706, 291, 630, 32, 2122, 280, 2719, 291, 630, 32, 11170, 280, 1605, 291, 630, 32, 2132, 280, 1605, 291, 630, 32, 2516, 280, 1605, 291, 630, 32, 41456, 280, 1605, 291, 630, 32, 669, 11170, 346, 291, 630, 32, 753, 2516, 346, 291, 630, 32, 2862, 7552, 1690, 346, 291, 630, 32, 371, 41456, 346, 291, 630, 32, 2018, 41456, 346, 284, 665, 5840, 41456, 26, 784, 711, 291, 436, 8752, 328, 630, 32, 41456, 44, 324, 630, 32, 39267, 32, 2388, 32, 669, 5419, 26, 2425, 77, 34, 614, 8752, 77, 35, 1130, 284, 665, 1015, 11170, 26, 784, 711, 291, 8759, 280, 8607, 32, 6421, 346, 291, 8759, 32, 1366, 346, 291, 436, 2601, 328, 630, 32, 2122, 32, 11170, 44, 324, 298, 280, 630, 32, 1809, 625, 26, 625, 27, 324, 436, 3089, 328, 2601, 32, 9986, 32, 14663, 32, 2810, 2262, 400, 345, 280, 298, 77, 34, 997, 1959, 26, 520, 32, 426, 27, 400, 9468, 280, 345, 32, 9986, 32, 1131, 400, 1411, 280, 308, 95, 32, 426, 30, 9468, 32, 753, 81, 15312, 26, 95, 490, 400, 298, 77, 35, 997, 1689, 26, 1959, 27, 400, 8607, 32, 751, 32, 2811, 440, 1959, 6611, 101, 25, 3272, 44, 904, 101, 392, 345, 32, 426, 30, 8759, 27, 324, 298, 77, 35, 997, 3323, 346, 291, 8759, 32, 4048, 346, 284, 665, 2290, 625, 26, 784, 30, 2601, 711, 291, 436, 298, 328, 630, 32, 11170, 44, 324, 415, 298, 77, 34, 79, 610, 298, 44, 442, 298, 291, 298, 280, 308, 625, 30, 11544, 291, 630, 32, 11170, 32, 1689, 26, 98, 27, 291, 442, 298, 284, 665, 622, 41456, 26, 784, 711, 291, 26169, 280, 1605, 291, 436, 456, 328, 308, 784, 32, 2132, 30, 630, 32, 2516, 711, 324, 436, 273, 30, 100, 328, 456, 44, 400, 8752, 280, 540, 32, 2011, 346, 400, 415, 8752, 77, 35, 79, 438, 1665, 44, 4036, 400, 415, 8752, 77, 35, 79, 328, 26169, 44, 4036, 400, 415, 18711, 32, 4895, 26, 2425, 27, 556, 18711, 32, 16810, 26, 2425, 711, 528, 4036, 400, 26169, 32, 1689, 26, 2425, 77, 35, 1130, 400, 415, 273, 610, 540, 44, 4036, 400, 8752, 280, 273, 32, 2011, 346, 400, 415, 8752, 77, 35, 79, 438, 1665, 44, 4036, 400, 415, 8752, 77, 35, 79, 328, 26169, 44, 4036, 400, 26169, 32, 1689, 26, 2425, 77, 35, 1130, 291, 595, 280, 225, 34, 291, 26169, 32, 3323, 346, 291, 436, 1044, 328, 26169, 44, 324, 298, 280, 630, 32, 1978, 4254, 346, 324, 8752, 280, 308, 98, 30, 1044, 27, 324, 630, 32, 41456, 32, 1689, 26, 2425, 27, 284, 665, 4356, 2516, 26, 784, 711, 291, 436 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 4, 4, 3, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 4, 5, 5, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 11, 12, 10, 11, 9, 10, 10, 9, 11, 10, 11, 10, 9, 10, 11, 10, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 4, 4, 5, 5, 5, 7, 8, 6, 7, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 7, 7, 7, 11, 12, 10, 11, 9, 10, 9, 7, 7, 10, 10, 13, 14, 13, 13, 12, 14, 13, 14, 12, 8, 8, 10, 10, 12, 13, 11, 12, 8, 8, 10, 10, 13, 12, 13, 11, 11, 13, 14, 14, 14, 13, 14, 13, 8, 8, 12, 13, 12, 12, 11, 12, 11, 8, 8, 12, 13, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 12, 13, 11, 11, 11, 6, 6, 10, 11, 10, 10, 9, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 7, 9, 10, 9, 8, 8, 7, 7, 9, 4, 4, 6, 6, 8, 7, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 8, 7, 8, 6, 6, 7, 8, 6, 5, 5, 7, 8, 9, 7, 7, 7, 7, 7, 10, 10, 12, 13, 12, 8, 8, 9, 11, 12, 11, 10, 10, 9, 9, 8, 8, 9, 11, 12, 11, 10, 10, 9, 9, 8, 8, 9, 12, 13, 12, 13, 12, 10, 10, 12, 13, 12, 13, 12, 9, 9, 8, 8, 11, 12, 11, 13, 12, 13, 12, 8, 8, 9, 10, 10, 9, 9, 8, 8, 10, 10, 12, 13, 12, 8, 8, 9, 11, 12, 11, 10, 10, 9, 9, 8, 8, 9, 11, 12, 11, 10, 10, 9, 9, 8, 8, 11, 12, 11, 13, 12, 13, 12, 4, 4, 6, 6, 7, 4, 4, 7, 8, 7, 4, 4, 5, 5, 5, 5, 5, 5, 8, 8, 10, 11, 11, 10, 6, 6, 8, 8, 10, 9, 9, 9, 6, 6, 10, 11, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 0, 5, 5, 1, 5, 5, 5, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 3, 3, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 3, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 3, 3, 3, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 2, 2, 2, 0, 2, 3, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 2, 0, 2, 1, 1, 1, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 5, 0, 2, 0, 2, 1, 4, 4, 0, 2, 1, 3, 3, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 4, 1, 2, 1, 2, 4, 4, 0, 0, 4, 4, 1, 1, 1, 0, 1, 2, 3, 3, 3, 2, 3, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5, 5, 1, 0, 2, 0, 1, 1, 1, 1, 5, 5, 2, 0, 2, 0, 1, 1, 2, 2, 5, 5, 3, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 3, 3, 5, 5, 0, 2, 1, 0, 1, 2, 1, 5, 5, 5, 1, 1, 5, 5, 5, 5, 0, 0, 0, 2, 1, 5, 5, 7, 0, 2, 0, 1, 1, 7, 7, 5, 5, 8, 0, 2, 0, 1, 1, 8, 8, 5, 5, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 4, 4, 0, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 2, 2, 1, 5, 5, 0, 0, 1, 2, 2, 2, 5, 5, 0, 2, 0, 2, 1, 1, 1, 3, 3, 5, 1, 2, 1, 2, 5, 5 ]
[ 465, 316, 203, 1070, 16445, 299, 1188, 5296, 203, 26747, 34448, 81, 13556, 81, 14137, 280, 1605, 203, 800, 81, 7485, 280, 316, 32, 6993, 26, 100, 20, 12456, 81, 6603, 20145, 4987, 101, 28, 463, 12302, 657, 657, 203, 32895, 81, 751, 280, 316, 32, 6993, 26, 284, 540, 20, 13157, 4586, 3602, 8169, 26, 16676, 110, 731, 110, 1338, 110, 8447, 110, 5691, 110, 24559, 110, 3893, 4731, 284, 540, 7646, 4987, 101, 28, 20145, 4987, 101, 28, 463, 12302, 657, 657, 203, 31626, 81, 465, 81, 1553, 280, 316, 32, 6993, 26, 100, 20, 13157, 4586, 465, 617, 13157, 4586, 657, 203, 2988, 81, 31626, 81, 1553, 280, 316, 32, 6993, 26, 100, 20, 13157, 4586, 20145, 101, 28, 12194, 101, 8088, 32, 4586, 657, 203, 50, 1262, 32, 25581, 42, 407, 203, 589, 1505, 81, 18617, 81, 31626, 81, 465, 26, 11081, 81, 928, 30, 4870, 711, 284, 415, 4870, 328, 6407, 4989, 34448, 81, 13556, 81, 14137, 44, 291, 3097, 284, 4348, 308, 31626, 81, 465, 81, 1553, 32, 2872, 26, 11081, 81, 928, 27, 616, 556, 3115, 81, 31626, 81, 1553, 32, 2872, 26, 11081, 81, 928, 8531, 291, 6407, 4989, 34448, 81, 13556, 81, 14137, 32, 1689, 26, 3607, 27, 284, 4348, 308, 32895, 81, 751, 32, 2872, 26, 11081, 81, 928, 27, 616, 556, 802, 81, 7485, 32, 2872, 26, 11081, 81, 928, 8531, 291, 6761, 26, 34, 30, 313, 64, 37, 36, 37, 44, 5422, 793, 432, 617, 346, 2876, 8007, 1188, 432, 617, 15981, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 2, 4, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 4, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 5, 10, 10, 10, 10, 10, 9, 10, 9, 10, 10, 10, 9, 7, 7, 7, 10, 10, 10, 10, 9, 10, 9, 10, 10, 10, 9, 5, 5, 10, 10, 10, 10, 10, 10, 9, 10, 9, 10, 9, 4, 4, 5, 10, 10, 10, 9, 10, 9, 10, 10, 10, 9, 7, 7, 7, 10, 10, 9, 10, 9, 10, 10, 10, 9, 5, 5, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 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 ]
[ 465, 5741, 203, 465, 2322, 203, 465, 15798, 203, 1070, 46032, 1188, 1188, 81, 1647, 203, 1070, 15798, 1188, 2108, 10907, 30, 1244, 1006, 4888, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 203, 1070, 8527, 32, 858, 1188, 7155, 7233, 30, 19205, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 4705, 81, 858, 81, 9236, 30, 40688, 81, 858, 81, 9236, 203, 1070, 8527, 32, 2304, 32, 605, 25078, 1188, 24603, 885, 203, 1070, 8527, 32, 2304, 32, 25931, 1188, 44524, 203, 823, 8091, 3553, 1031, 41201, 26, 18986, 32, 1031, 41201, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3443, 30, 26888, 30, 39451, 711, 291, 630, 32, 4073, 280, 5741, 32, 10579, 463, 11025, 32, 1199, 32, 11514, 683, 291, 630, 32, 4073, 32, 34318, 26, 7490, 32, 2897, 27, 291, 2599, 26, 3529, 3553, 1031, 41201, 30, 630, 14585, 1664, 3207, 2238, 30, 26888, 30, 39451, 27, 284, 665, 1477, 1006, 26, 784, 30, 894, 711, 291, 630, 32, 2811, 81, 2602, 81, 2238, 280, 44524, 346, 291, 630, 32, 4531, 280, 5741, 32, 1862, 1972, 26, 784, 32, 2811, 81, 2602, 81, 2238, 27, 291, 630, 32, 4073, 32, 669, 1972, 26, 784, 32, 4531, 27, 291, 2599, 26, 3529, 3553, 1031, 41201, 30, 630, 547, 1366, 1006, 26, 858, 27, 284, 665, 4719, 1006, 26, 784, 30, 894, 711, 291, 2599, 26, 3529, 3553, 1031, 41201, 30, 630, 547, 4048, 1006, 26, 858, 27, 291, 630, 32, 4073, 32, 2546, 1972, 26, 784, 32, 4531, 27, 291, 415, 630, 32, 2245, 1934, 44, 324, 630, 32, 2811, 81, 2602, 81, 2238, 32, 14408, 26, 34, 27, 324, 630, 32, 2238, 32, 1821, 26, 784, 32, 2811, 81, 2602, 81, 2238, 32, 850, 1157, 324, 630, 32, 2238, 32, 39574, 26, 784, 32, 12637, 36, 27, 284, 665, 1015, 924, 26, 784, 30, 894, 30, 1137, 711, 291, 2599, 26, 3529, 3553, 1031, 41201, 30, 630, 547, 669, 924, 26, 858, 30, 1137, 27, 291, 630, 32, 2811, 81, 2602, 81, 2238, 32, 14408, 26, 34, 27, 291, 630, 32, 4275, 6448, 35, 79, 280, 630, 32, 4275, 6448, 35, 79, 474, 308, 784, 32, 2811, 81, 2602, 81, 2238, 32, 850, 1026, 27, 284, 665, 1015, 7961, 26, 784, 30, 894, 30, 1137, 711, 291, 2599, 26, 3529, 3553, 1031, 41201, 30, 630, 547, 669, 7961, 26, 858, 30, 1137, 27, 291, 630, 32, 2811, 81, 2602, 81, 2238, 32, 14408, 26, 34, 27, 291, 630, 32, 32997, 6448, 35, 79, 280, 630, 32, 32997, 6448, 35, 79, 474, 308, 784, 32, 2811, 81, 2602, 81, 2238, 32, 850, 1026, 27, 284, 665, 1459, 924, 720, 26, 784, 30, 2022, 21865, 30, 3878, 711, 291, 436, 894, 30, 1137, 30, 5552, 81, 2811, 328, 3878, 44, 324, 630, 32, 2238, 32, 39574, 26, 784, 32, 12637, 35, 27, 324, 630, 32, 2238, 32, 39574, 4912, 101, 44, 904, 101, 20, 904, 308, 1306, 21865, 30, 630, 32, 32884, 26, 858, 2610, 324, 630, 32, 2238 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 8, 9, 7, 8, 8, 7, 9, 8, 9, 7, 4, 4, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 7, 9, 8, 9, 7, 4, 4, 5, 6, 7, 7, 5, 5, 5, 10, 11, 11, 11, 11, 11, 9, 10, 9, 10, 9, 6, 6, 10, 11, 9, 10, 9, 13, 12, 13, 13, 13, 13, 13, 11, 12, 11, 6, 6, 10, 11, 9, 10, 9, 11, 10, 11, 11, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 8, 7, 7, 7, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 7, 9, 7, 6, 6, 9, 10, 8, 10, 8, 7, 7, 12, 11, 12, 12, 12, 12, 12, 10, 11, 10, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 8, 7, 7, 7, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 7, 9, 7, 6, 6, 9, 10, 8, 10, 8, 7, 7, 12, 11, 12, 12, 12, 12, 12, 10, 11, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 6, 7, 7, 5, 5, 5, 5, 5, 10, 11, 9, 10, 9, 11, 10, 11, 11, 9, 6, 6, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 10, 10, 12, 12, 11, 11, 13, 14, 13, 14, 13, 6, 6, 10, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 4, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 1, 1, 2, 0, 1, 2, 2, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 3, 3, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 4, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 5, 5, 0, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 1459, 81, 1126, 203, 1070, 4377, 3378, 1188, 32741, 5541, 30, 25979, 1533, 203, 823, 3772, 2570, 26, 1473, 711, 284, 12497, 81, 681, 280, 1665, 284, 12497, 81, 6385, 280, 1665, 284, 1244, 81, 1517, 280, 25979, 1533, 32, 11356, 284, 477, 17614, 284, 665, 1487, 26, 6933, 30, 12497, 81, 681, 47, 2521, 30, 12497, 81, 853, 47, 2521, 30, 1300, 81, 681, 47, 2521, 30, 3083, 1300, 81, 6572, 47, 2521, 30, 2287, 47, 2521, 30, 1115, 5321, 711, 291, 1201, 12497, 81, 853, 291, 1201, 12497, 81, 681, 556, 9011, 32, 6320, 81, 681, 291, 12497, 280, 32741, 5541, 32, 1297, 26, 324, 12497, 81, 681, 556, 9011, 32, 6320, 81, 681, 30, 324, 12497, 81, 853, 30, 324, 12497, 81, 6385, 47, 6933, 32, 6320, 81, 6385, 30, 324, 1300, 81, 681, 47, 1473, 81, 681, 30, 324, 1300, 81, 6572, 47, 1473, 81, 6572, 30, 324, 2287, 47, 1517, 556, 9011, 32, 1536, 81, 1517, 30, 291, 829, 291, 442, 9011, 26, 6320, 30, 1115, 5321, 27, 284, 477, 17614, 284, 665, 622, 26, 6933, 30, 12497, 81, 853, 30, 12497, 81, 681, 47, 2521, 30, 1115, 5321, 711, 291, 442, 9011, 26, 324, 32741, 5541, 32, 371, 26, 6320, 81, 681, 556, 9011, 32, 6320, 81, 681, 30, 12497, 81, 853, 30, 9474, 12497, 81, 6385, 47, 6933, 32, 6320, 81, 6385, 471, 324, 1115, 5321, 27, 284, 665, 1156, 1664, 3207, 784, 30, 12497, 711, 291, 630, 32, 6320, 280, 12497, 291, 1201, 12497, 32, 6320, 81, 6385, 610, 630, 32, 6320, 81, 6385, 284, 665, 28301, 26, 784, 711, 291, 442, 630, 32, 6320, 32, 19871, 346, 284, 665, 3909, 26, 784, 711, 291, 442, 630, 32, 6320, 32, 3317, 346, 284, 665, 1974, 26, 784, 711, 291, 3097, 284, 665, 3066, 26, 784, 711, 291, 442, 630, 32, 6320, 32, 2560, 346, 284, 665, 7652, 81, 1517, 26, 784, 711, 291, 3097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 5, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 5, 7, 7, 6, 7, 5, 5, 6, 7, 5, 5, 7, 5, 4, 4, 6, 7, 7, 5, 5, 6, 8, 8, 7, 7, 8, 9, 9, 9, 5, 5, 7, 7, 10, 9, 10, 9, 9, 9, 11, 11, 10, 10, 11, 12, 12, 12, 9, 9, 9, 10, 10, 9, 9, 9, 11, 11, 10, 12, 11, 12, 12, 12, 9, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 9, 10, 12, 11, 11, 12, 13, 13, 13, 9, 9, 9, 5, 5, 6, 8, 9, 8, 8, 10, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 6, 6, 5, 5, 7, 7, 6, 7, 5, 5, 7, 5, 4, 4, 6, 8, 8, 8, 11, 10, 11, 10, 12, 12, 12, 11, 11, 12, 13, 13, 13, 10, 10, 11, 11, 10, 10, 10, 12, 12, 11, 13, 12, 13, 13, 13, 10, 8, 8, 10, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 3, 3, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 11, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 4, 4, 1, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 5, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 1, 11, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 0, 0, 5, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 2, 0, 0, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 4, 4, 6, 2, 1, 2, 6, 6, 0, 0, 2, 0, 2, 1, 4, 4, 7, 2, 1, 2, 7, 7, 0, 0, 2, 0, 2, 1, 4, 4, 8, 2, 1, 2, 8, 8, 4, 4, 9, 2, 1, 2, 9, 9, 0, 0, 2, 0, 2, 1, 4, 4, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 465, 5592, 32, 31983, 32, 4531, 203, 465, 2322, 203, 1070, 2192, 1188, 2192, 203, 1070, 16303, 352, 81, 5792, 32, 1040, 32, 8384, 9770, 1188, 4489, 8384, 203, 823, 18981, 57, 3988, 2372, 26, 2593, 32, 31983, 32, 4531, 32, 1777, 1972, 30, 1300, 711, 284, 2016, 280, 313, 1328, 271, 81, 1517, 429, 20907, 429, 913, 15584, 1622, 14339, 26, 27153, 27, 610, 2933, 27, 1276, 308, 27153, 610, 901, 9905, 429, 1643, 4145, 38726, 266, 636, 4083, 23, 101, 1492, 2039, 25, 330, 558, 7362, 284, 665, 1156, 1664, 3207, 784, 711, 203, 202, 784, 32, 5632, 81, 17431, 280, 2149, 291, 3097, 284, 665, 1390, 16321, 26, 784, 711, 291, 630, 32, 17431, 280, 225, 34, 291, 630, 32, 6264, 280, 3177, 291, 372, 81, 2208, 30, 16154, 280, 4489, 8384, 26, 784, 32, 2501, 27, 291, 14186, 81, 452, 81, 2208, 280, 3778, 1427, 28093, 101, 377, 1427, 5844, 904, 372, 81, 2208, 291, 1596, 44, 324, 5592, 32, 31983, 32, 2208, 652, 26, 18752, 81, 452, 81, 2208, 30, 630, 27, 291, 2940, 5592, 32, 31983, 1114, 11452, 32, 42227, 26026, 30, 1440, 44, 324, 5741, 32, 731, 440, 924, 11708, 23498, 324, 5741, 32, 731, 440, 2501, 280, 904, 101, 20, 904, 630, 32, 2501, 27, 324, 5741, 32, 731, 440, 8228, 280, 904, 101, 20, 904, 16154, 27, 324, 5741, 32, 731, 440, 9362, 280, 904, 101, 20, 904, 372, 81, 2208, 27, 324, 5741, 32, 731, 440, 924, 44, 904, 101, 429, 904, 101, 20, 904, 308, 596, 26, 2325, 471, 1440, 32, 1132, 9658, 291, 415, 646, 630, 32, 6264, 461, 308, 1657, 26, 8228, 27, 863, 225, 34, 711, 324, 5741, 32, 731, 440, 2023, 2080, 1688, 6584, 645, 2016, 44, 904, 101, 15860, 630, 32, 2501, 27, 324, 5741, 32, 731, 440, 8228, 280, 904, 101, 20, 904, 16154, 27, 324, 5741, 32, 731, 440, 9362, 280, 904, 101, 20, 904, 372, 81, 2208, 27, 324, 442, 1665, 291, 442, 630, 32, 17431, 284, 665, 4489, 26, 784, 711, 291, 442, 630, 32, 936, 16321, 346, 284, 665, 1477, 1308, 26, 784, 30, 636, 30, 5414, 711, 291, 415, 636, 610, 313, 38726, 266, 563, 324, 630, 32, 17431, 1454, 225, 35, 324, 630, 32, 6264, 280, 2933, 324, 415, 646, 630, 32, 5632, 81, 17431, 32, 2040, 81, 678, 26, 5843, 710, 5632, 37886, 400, 630, 32, 5632, 81, 17431, 77, 5843, 710, 5632, 18038, 280, 225, 34, 324, 630, 32, 5632, 81, 17431, 77, 5843, 710, 5632, 18038, 1454, 225, 35, 284, 665, 1390, 6444, 16321, 26, 784, 711, 291, 442, 630, 32, 5632, 81, 17431, 203, 823, 4933, 274, 57, 3988, 2372, 26, 8589, 57, 3988, 2372, 711, 284, 2016, 280, 313, 1328, 271, 81, 99, 429, 913, 15584, 57, 3988, 266, 3782, 610, 861, 27, 962, 308, 48002, 610, 225, 35, 9905, 429, 1643, 4145, 38726, 266, 7423, 4083, 23, 101, 1492, 2039, 25, 330, 6444, 7362, 203, 823, 4933, 274, 14508, 26, 8589, 57, 3988, 2372, 711, 284, 2016, 280, 313, 1328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 6, 5, 6, 4, 5, 3, 4, 4, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 8, 8, 7, 7, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 4, 4, 5, 5, 5, 10, 11, 9, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 9, 5, 5, 6, 9, 10, 8, 9, 7, 8, 8, 6, 6, 6, 6, 6, 10, 11, 10, 12, 12, 12, 7, 7, 10, 11, 10, 13, 13, 13, 13, 13, 11, 11, 12, 13, 10, 7, 7, 10, 11, 10, 13, 13, 13, 13, 13, 11, 11, 10, 7, 7, 10, 11, 10, 13, 13, 13, 13, 13, 11, 11, 12, 12, 10, 7, 7, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 14, 15, 14, 12, 13, 14, 12, 4, 4, 5, 7, 8, 9, 6, 6, 10, 10, 11, 10, 8, 8, 9, 7, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 12, 9, 6, 6, 9, 10, 9, 12, 12, 12, 12, 12, 10, 10, 9, 6, 6, 9, 10, 9, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 6, 6, 7, 4, 4, 5, 6, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 8, 8, 8, 5, 5, 9, 10, 8, 8, 9, 6, 6, 9, 10, 8, 8, 6, 6, 7, 8, 11, 12, 12, 12, 10, 11, 11, 11, 10, 12, 11, 13, 13, 7, 7, 12, 13, 13, 13, 11, 13, 12, 14, 14, 10, 10, 11, 6, 6, 10, 11, 11, 11, 9, 11, 10, 12, 12, 8, 8, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 5, 5, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 2, 0, 2, 1, 2, 2, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 2, 2, 4, 4, 5, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 3, 3, 4, 4, 6, 1, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 2, 2, 1, 4, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 3, 3, 0, 2, 0, 0, 3, 3, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 3, 3, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 2, 2, 2, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 1, 1, 1, 2, 7, 7, 0, 0, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 8527, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 2304, 32, 1647, 81, 6696, 1188, 1188, 81, 800, 203, 1070, 638, 15753, 1188, 8909, 203, 1070, 638, 2304, 1188, 636, 81, 6939, 81, 1944, 203, 823, 8073, 3525, 4772, 924, 26, 22239, 711, 284, 3097, 203, 823, 11026, 4772, 1572, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 11514, 280, 2149, 284, 477, 2433, 284, 665, 20098, 26, 784, 711, 291, 442, 18623, 26, 3550, 30, 313, 15421, 81, 9659, 9135, 392, 12797, 284, 665, 1930, 81, 7878, 26, 784, 30, 636, 711, 291, 1596, 44, 324, 9161, 81, 823, 280, 1188, 81, 800, 26, 784, 32, 15752, 77, 426, 5795, 36190, 3490, 291, 2940, 25085, 44, 324, 3636, 8073, 3525, 4772, 924, 440, 2023, 34503, 3285, 3191, 436, 904, 101, 20, 904, 636, 27, 291, 2940, 29986, 44, 324, 3636, 8073, 3525, 4772, 924, 26, 400, 313, 11394, 1188, 34503, 3285, 904, 100, 3191, 436, 904, 101, 20, 904, 308, 784, 32, 15752, 77, 426, 5795, 36190, 2188, 636, 27, 324, 829, 291, 1596, 44, 324, 16388, 280, 630, 32, 15752, 77, 426, 5795, 20483, 1392, 785, 291, 2940, 25085, 44, 324, 3636, 8073, 3525, 4772, 924, 440, 2023, 46852, 1392, 3191, 436, 904, 101, 20, 904, 636, 27, 291, 619, 5123, 81, 1823, 280, 9161, 81, 823, 14605, 784, 32, 15752, 77, 426, 997, 371, 440, 6191, 392, 2149, 490, 291, 442, 11026, 4772, 4672, 26, 324, 3826, 81, 1823, 47, 302, 5123, 81, 1823, 30, 324, 8813, 47, 426, 30, 324, 16388, 47, 15753, 30, 291, 829, 284, 665, 1156, 33644, 3207, 784, 30, 1202, 711, 291, 415, 1202, 646, 328, 630, 32, 11514, 44, 324, 630, 32, 11514, 77, 678, 79, 280, 630, 32, 2682, 81, 7878, 26, 678, 27, 291, 442, 630, 32, 11514, 77, 678, 79, 284, 665, 1156, 4752, 3207, 784, 30, 1202, 711, 291, 442, 1202, 328, 630, 32, 15752, 284, 665, 739, 26, 784, 30, 1202, 30, 5396, 711, 291, 3610, 280, 630, 32, 11514, 32, 371, 26, 678, 30, 1665, 27, 291, 630, 32, 11514, 77, 678, 79, 280, 5396, 291, 442, 3610, 203, 823, 11026, 4772, 4672, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3826, 81, 1823, 30, 8813, 30, 16388, 711, 291, 630, 32, 3237, 81, 1823, 280, 3826, 81, 1823, 291, 630, 32, 7909, 280, 8813, 291, 630, 32, 15753, 280, 16388, 291, 630, 32, 5785, 280, 8909, 26, 784, 32, 15753, 27, 284, 665, 1156, 32110, 3207, 784, 30, 636, 711, 291, 442, 18623, 26, 784, 32, 3237, 81, 1823, 30, 636, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 5461, 101, 10027, 101, 4731, 904, 308, 784, 32, 7909, 30, 636, 81, 6939, 81, 1944, 26, 784, 32, 3237, 81, 1823, 490, 284, 665, 2196, 81, 2585, 26, 784, 711, 291, 442, 313, 266, 5566, 20, 328, 630, 32, 3237, 81, 1823, 3667, 823, 29215, 1647, 505, 203, 589, 622, 81, 3237, 81, 1823 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 8, 8, 10, 10, 10, 10, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 9, 9, 8, 8, 10, 10, 10, 14, 13, 14, 12, 13, 12, 13, 13, 5, 5, 6, 6, 6, 6, 8, 10, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 5, 5, 6, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 16, 15, 16, 14, 15, 14, 15, 15, 12, 12, 10, 10, 4, 4, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 5, 5, 6, 6, 6, 6, 8, 10, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 14, 13, 14, 12, 13, 12, 12, 11, 13, 13, 11, 11, 4, 4, 5, 7, 7, 7, 7, 7, 9, 9, 8, 9, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 8, 5, 5, 5, 10, 11, 9, 10, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 4, 4, 5, 7, 8, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 8, 4, 4, 8, 9, 7, 8, 7, 6, 6, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 8, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 6, 6, 9, 8, 9, 7, 7, 9, 9, 9, 9, 9, 11, 10, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 8, 8, 0, 1, 1, 2, 2, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 3, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 2, 1, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 1, 1, 2, 2, 4, 4, 5, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 0, 0, 0, 4, 4, 2, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 9, 9, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 32, 15704, 1114, 3106, 1188, 20211, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 823, 1593, 808, 1006, 26, 858, 32, 7233, 711, 334, 665, 894, 81, 1793, 81, 1393, 26, 784, 711, 284, 1542, 280, 20211, 32, 19005, 32, 74, 808, 26, 9582, 47, 2521, 27, 284, 630, 32, 5299, 26, 1160, 32, 2024, 81, 3229, 30, 308, 2521, 30, 225, 35, 34, 34, 34, 490, 334, 665, 894, 81, 1347, 81, 1393, 26, 784, 711, 284, 1542, 280, 20211, 32, 19005, 32, 74, 808, 26, 9582, 47, 2521, 30, 2305, 81, 1393, 47, 2700, 27, 284, 630, 32, 5299, 26, 1160, 32, 2024, 81, 3229, 30, 308, 2521, 30, 1665, 30, 1665, 30, 225, 36, 34, 38, 42, 490, 334, 665, 894, 81, 1793, 81, 5178, 299, 26, 784, 711, 284, 1542, 280, 20211, 32, 19005, 32, 74, 808, 26, 9582, 47, 2521, 30, 2476, 2305, 81, 1393, 47, 2700, 30, 2476, 49094, 1057, 10074, 683, 284, 630, 32, 5299, 26, 1160, 32, 2024, 81, 3229, 30, 308, 2521, 30, 225, 36, 34, 38, 42, 490, 334, 665, 894, 81, 3292, 81, 6696, 26, 784, 711, 284, 623, 630, 32, 23895, 26, 22239, 711, 397, 20211, 32, 19005, 32, 74, 808, 26, 9582, 1057, 6876, 370, 6619, 2305, 81, 1393, 47, 2700, 27, 284, 623, 630, 32, 23895, 26, 22239, 711, 397, 20211, 32, 19005, 32, 74, 808, 26, 9582, 1057, 26824, 364, 370, 6619, 6015, 47, 36, 34, 34, 34, 27, 334, 665, 894, 81, 32623, 81, 1131, 26, 784, 711, 284, 816, 280, 2065, 32, 3855, 32, 10586, 26, 34, 30, 225, 36, 39, 39, 30, 308, 36, 30, 225, 37, 34, 34, 30, 225, 36, 34, 34, 30, 225, 37, 490, 284, 963, 35, 280, 20211, 32, 19005, 32, 106, 808, 32, 32623, 81, 1131, 26, 106, 27, 284, 630, 32, 862, 1934, 4173, 26, 2356, 32, 6009, 26, 541, 35, 471, 225, 34, 4317, 35012, 47, 34, 32, 35, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 894, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 8, 8, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 9, 11, 11, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 8, 8, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 10, 9, 5, 5, 10, 11, 9, 10, 10, 9, 11, 10, 12, 12, 9, 9, 11, 11, 10, 11, 9, 4, 4, 5, 9, 10, 9, 10, 9, 5, 5, 10, 11, 9, 10, 10, 9, 11, 10, 12, 12, 12, 9, 9, 10, 11, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 9, 9, 9, 8, 8, 10, 9, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 10, 9, 4, 4, 7, 6, 6, 10, 11, 9, 10, 10, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 9, 10, 10, 9, 7, 8, 8, 7, 8, 9, 9, 9, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 3, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 3, 2, 1, 1, 1, 5, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 5, 2, 2, 2, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 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 ]
[ 465, 21873, 1439, 203, 465, 316, 203, 13927, 299, 81, 4382, 280, 316, 32, 6993, 14969, 24, 46, 26392, 203, 13927, 299, 81, 39111, 280, 316, 32, 6993, 26, 100, 20879, 7009, 12302, 76, 19188, 203, 266, 5898, 280, 316, 32, 6993, 41392, 77, 83, 31, 15188, 31, 76, 21, 26392, 203, 2225, 612, 280, 316, 32, 6993, 41392, 2009, 83, 31, 15188, 31, 76, 1674, 9720, 83, 31, 15188, 31, 76, 34, 31, 43, 38131, 12456, 83, 31, 15188, 31, 76, 34, 31, 43, 26392, 203, 1594, 612, 280, 316, 32, 6993, 463, 5233, 18470, 77, 34, 31, 43, 6155, 10182, 106, 74, 1674, 34, 31, 43, 83, 31, 41961, 31, 56, 6155, 5594, 80, 34, 31, 43, 83, 31, 41961, 31, 56, 26392, 203, 1366, 2142, 1676, 280, 316, 32, 6993, 10385, 77, 83, 31, 15188, 31, 76, 26392, 203, 8328, 1573, 280, 316, 32, 6993, 463, 22639, 203, 3647, 2679, 280, 316, 32, 6993, 26, 100, 25, 287, 78, 101, 11046, 683, 203, 2142, 1809, 280, 316, 32, 6993, 14969, 83, 31, 15188, 31, 76, 1674, 9720, 83, 31, 15188, 31, 76, 34, 31, 43, 24180, 6603, 683, 203, 2437, 1809, 280, 316, 32, 6993, 26, 284, 540, 10255, 101, 28, 2009, 83, 31, 15188, 31, 76, 81, 1674, 9720, 44, 83, 31, 15188, 31, 76, 81, 34, 31, 43, 6603, 2502, 78, 101, 28, 12194, 101, 37849, 284, 540, 25, 31962, 41727, 785, 28, 6945, 17331, 12456, 1446, 22189, 110, 6448, 83, 31, 15188, 31, 76, 34, 31, 43, 1569, 13206, 45, 29, 28, 23, 44294, 24, 17415, 4987, 11511, 21, 47, 112, 50, 6603, 490, 43841, 203, 27041, 1366, 2142, 416, 280, 316, 32, 6993, 26, 100, 2993, 334, 333, 77, 83, 31, 15188, 31, 76, 1674, 9720, 83, 31, 15188, 31, 76, 34, 31, 43, 24180, 6603, 2033, 588, 2604, 636, 334, 308, 48813, 101, 29, 11347, 588, 19782, 2670, 3879, 636, 284, 308, 2805, 77, 83, 31, 15188, 31, 76, 81, 1674, 9720, 44, 83, 31, 15188, 31, 76, 34, 31, 43, 81, 6603, 262, 588, 3879, 636, 397, 308, 48813, 101, 28, 12194, 101, 28, 6022, 588, 786, 18384, 291, 308, 2805, 25, 12456, 785, 37849, 6019, 588, 498, 780, 51, 31, 1325, 4857, 786, 616, 523, 1492, 12456, 29513, 28, 1492, 2071, 588, 498, 780, 31, 1325, 4857, 786, 616, 523, 12456, 10255, 6289, 101, 6155, 2071, 588, 27708, 786, 276, 829, 1568, 829, 49, 275, 829, 664, 47110, 334, 766, 101, 28, 11457, 588, 19938, 19782, 203, 37616, 316, 32, 28155, 27, 203, 416, 416, 2142, 280, 316, 32, 6993, 463, 22639, 203, 416, 2142, 1809, 280, 316, 32, 6993, 463, 377, 78, 101, 28, 2009, 83, 31, 15188, 31, 76, 1674, 9720, 83, 31, 15188, 31, 76, 34, 31, 43, 24180, 38131, 78, 101, 11046, 683, 203, 823, 5780, 38106, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3124, 30, 2747, 4310, 2521, 30, 1665, 8531, 291, 1201, 3124, 291, 630, 32, 2076, 280, 3124, 291, 630, 32, 12300, 280, 2747, 77, 34, 79, 291, 630, 32, 2881, 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, 3, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 4, 6, 0, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 5, 6, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 7, 6, 6, 6, 3, 3, 5, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 8, 7, 4, 4, 7, 8, 6 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 15, 15, 1, 2, 1, 2, 15, 15, 0, 1, 1, 1, 2, 2, 2, 2, 5, 1, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 638, 1188, 15363, 203, 1070, 4377, 1001, 24715, 1188, 7474, 10075, 203, 465, 316, 203, 465, 5741, 203, 751, 280, 5741, 32, 10579, 463, 12213, 10445, 683, 203, 14254, 81, 613, 280, 316, 32, 6993, 26, 100, 28249, 77, 1481, 109, 34, 30, 37, 111, 12390, 66, 46, 678, 8828, 51, 31, 21948, 31, 108, 34, 31, 43, 35718, 6155, 48775, 101, 8088, 49, 66, 46, 853, 48, 3424, 19188, 203, 14254, 81, 39469, 81, 613, 280, 316, 32, 6993, 26, 100, 28249, 77, 1481, 109, 38, 30, 111, 12390, 66, 46, 853, 48, 3424, 19188, 203, 12185, 81, 613, 280, 316, 32, 6993, 26, 100, 28249, 27397, 37, 41660, 101, 3424, 6505, 683, 203, 3285, 81, 613, 280, 316, 32, 6993, 26, 100, 28249, 3736, 109, 37, 33741, 8169, 109, 37, 1748, 4987, 101, 3424, 6505, 683, 203, 823, 11985, 4814, 308, 4814, 711, 284, 665, 12359, 19674, 26, 784, 30, 8735, 30, 8735, 81, 19981, 711, 291, 8735, 32, 1001, 24715, 32, 669, 440, 2859, 392, 6035, 11985, 2626, 10075, 26, 954, 471, 6035, 9120, 12944, 81, 29903, 657, 203, 823, 11985, 2626, 10075, 26, 2626, 10075, 711, 284, 665, 1420, 26, 784, 30, 5430, 711, 291, 6089, 280, 2149, 291, 1202, 280, 1665, 291, 415, 5430, 461, 18271, 81, 613, 32, 2872, 26, 4446, 77, 34, 10794, 324, 5430, 32, 3235, 26, 34, 27, 291, 2218, 5430, 44, 324, 1628, 280, 5430, 32, 3235, 26, 34, 27, 324, 345, 35, 280, 45857, 81, 613, 32, 2872, 26, 928, 27, 324, 415, 1628, 32, 7201, 346, 610, 4247, 556, 7082, 81, 613, 32, 2872, 26, 928, 711, 400, 1626, 23688, 415, 345, 35, 44, 400, 1202, 280, 345, 35, 32, 1363, 463, 678, 1814, 5729, 922, 7201, 346, 400, 786, 280, 345, 35, 32, 1363, 463, 853, 1814, 7201, 346, 400, 1596, 44, 528, 6089, 77, 678, 997, 1689, 26, 853, 27, 400, 2940, 25085, 44, 528, 6089, 77, 678, 79, 280, 428, 853, 79, 324, 813, 44, 400, 345, 36, 280, 45857, 81, 39469, 81, 613, 32, 2872, 26, 928, 27, 400, 415, 345, 36, 461, 1202, 44, 528, 6089, 77, 678, 997, 1689, 26, 95, 36, 32, 1363, 463, 853, 1814, 7201, 1157, 400, 813, 44, 528, 5430, 32, 3215, 26, 34, 30, 1628, 27, 528, 1626, 16189, 630, 32, 8523, 32, 4232, 280, 6089, 291, 442, 5430, 203, 589, 1930, 4814, 2740, 1132, 30, 1115, 5321, 711, 284, 442, 11985, 4814, 2740, 1132, 30, 1115, 5321, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 1, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 8, 9, 9, 7, 8, 7, 9, 9, 7, 7, 9, 9, 9, 10, 9, 7, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 4, 4, 6, 6, 4, 4, 5, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 9, 5, 5, 9, 10, 9, 10, 9, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 8, 8, 11, 11, 10, 11, 10, 11, 10, 6, 6, 7, 11, 12, 11, 9, 9, 8, 8, 11, 11, 10, 11, 10, 11, 10, 7, 7, 6, 6, 7, 8, 7, 7, 7, 10, 10, 17, 16, 17, 16, 18, 18, 15, 14, 13, 12, 8, 8, 10, 10, 15, 14, 15, 14, 16, 16, 13, 12, 8, 8, 9, 9, 9, 14, 15, 14, 14, 13, 14, 13, 9, 9, 10, 10, 10, 10, 14, 15, 14, 13, 13, 15, 14, 7, 7, 8, 8, 8, 12, 11, 11, 14, 14, 14, 14, 13, 14, 13, 14, 13, 9, 9, 10, 12, 11, 11, 10, 10, 10, 15, 16, 15, 15, 14, 19, 19, 18, 19, 18, 20, 20, 17, 16, 10, 10, 11, 11, 11, 15, 16, 15, 16, 15, 15, 15, 12, 12, 4, 4, 8, 9, 7, 8, 6, 6, 4, 4, 5, 0, 1, 1, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 5, 5, 7, 5, 5, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 11, 1, 2, 11, 11, 0, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 1, 1, 2, 12, 12, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 3, 3, 3, 1, 3, 3, 3, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 3, 3, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 0, 2, 0, 0, 0, 1, 2, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 2, 0, 0, 4, 4, 5, 0, 13, 13, 1, 2, 1, 2, 2, 1, 2, 13, 13, 0, 0, 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 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 505, 2116, 505, 280, 330, 47204, 3611, 1546, 25, 203, 1070, 3619, 25833, 32, 42142, 32, 87, 3060, 6100, 32, 89, 2029, 1188, 8287, 30, 7155, 15368, 203, 1070, 3619, 25833, 32, 42142, 32, 87, 3060, 6100, 32, 9972, 332, 1188, 38005, 2012, 107, 1881, 16446, 203, 1070, 3619, 25833, 32, 42142, 32, 87, 3060, 6100, 32, 23776, 1188, 7155, 11813, 203, 1070, 3619, 25833, 32, 4280, 32, 6460, 1188, 19526, 203, 1070, 3619, 25833, 32, 4280, 32, 4124, 626, 14780, 670, 271, 1188, 1224, 73, 3080, 6861, 203, 1070, 6436, 1188, 1417, 30, 8057, 30, 47777, 30, 39222, 203, 1070, 18414, 32, 20973, 1188, 298, 5817, 36, 203, 1070, 1933, 1188, 28667, 203, 823, 516, 3060, 6100, 19637, 26, 2348, 711, 284, 665, 1156, 1664, 3207, 784, 30, 484, 3060, 6100, 81, 4573, 30, 5890, 30, 1115, 5321, 711, 291, 8287, 3667, 1664, 3207, 784, 27, 291, 1845, 280, 1224, 73, 3080, 6861, 26, 784, 30, 10306, 27, 291, 1845, 32, 669, 463, 38974, 370, 1244, 47, 34, 27, 291, 1845, 32, 669, 463, 6569, 1298, 370, 1244, 47, 5962, 1688, 30, 1760, 5979, 7063, 32, 63, 807, 26, 2024, 30, 1760, 490, 291, 1845, 32, 669, 463, 6000, 10681, 370, 1244, 47, 955, 2009, 35, 30, 225, 36, 614, 1897, 490, 291, 630, 32, 4573, 280, 484, 3060, 6100, 81, 4573, 291, 630, 32, 5613, 280, 5890, 291, 630, 32, 1449, 81, 35697, 280, 429, 25237, 284, 665, 617, 13697, 3575, 26, 784, 30, 3706, 30, 5890, 30, 35692, 10681, 711, 291, 1929, 47189, 280, 5890, 32, 15207, 47189, 346, 291, 341, 917, 541, 81, 23859, 280, 1605, 291, 7682, 81, 23859, 280, 1605, 291, 436, 595, 328, 2155, 26, 1516, 47189, 711, 324, 6613, 280, 5890, 32, 371, 5897, 26, 91, 5594, 35, 79, 324, 7682, 81, 1366, 280, 629, 26, 6000, 10681, 319, 2069, 26, 7508, 490, 324, 341, 917, 541, 81, 23859, 32, 1689, 26, 7508, 77, 5688, 499, 7682, 81, 1366, 261, 8834, 324, 7682, 81, 23859, 32, 1689, 26, 7508, 77, 7682, 81, 1366, 261, 499, 5688, 8834, 291, 2674, 297, 280, 1605, 291, 436, 595, 328, 2155, 26, 1516, 47189, 711, 324, 3706, 32, 4534, 346, 324, 3706, 32, 105, 917, 541, 26, 105, 917, 541, 81, 23859, 77, 91, 1130, 324, 18316, 280, 3706, 32, 105, 917, 541, 26, 10705, 81, 23859, 77, 91, 1130, 324, 2674, 297, 32, 1689, 26, 8941, 27, 291, 447, 14783, 280, 47777, 26, 833, 297, 547, 70, 291, 447, 14783, 81, 27433, 280, 298, 5817, 36, 26, 4964, 59, 27, 291, 21207, 280, 47777, 26, 10705, 81, 23859, 547, 70, 291, 624, 280, 8057, 26, 9682, 30, 447, 14783, 81, 27433, 27, 291, 3706, 32, 45843, 7583, 4161, 26, 73, 27, 291, 10107, 280, 1605, 291, 436, 595, 328, 2155, 26, 1516, 47189, 711, 324, 963, 280, 3706, 32, 327, 17770, 16135, 26, 105, 917, 541, 81, 23859, 77, 91, 614, 2069, 26, 10705, 81, 23859, 77, 91, 5259, 324, 10107, 32, 1689, 26, 541, 27, 291, 21451 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 6, 6, 8, 8, 8, 8, 9, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 9, 9, 10, 10, 9, 13, 12, 13, 13, 12, 13, 12, 12, 12, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 10, 10, 12, 11, 11, 12, 11, 10, 10, 4, 4, 7, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 8, 7, 5, 5, 8, 8, 11, 12, 12, 11, 12, 11, 10, 9, 6, 6, 9, 9, 8, 8, 10, 12, 12, 11, 11, 13, 14, 13, 6, 6, 10, 10, 10, 10, 9, 10, 9, 11, 10, 10, 10, 11, 12, 12, 10, 10, 6, 6, 10, 10, 9, 10, 9, 11, 10, 10, 12, 12, 11, 11, 10, 10, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 8, 7, 5, 5, 9, 10, 9, 6, 6, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 11, 11, 10, 12, 12, 12, 11, 12, 11, 6, 6, 10, 9, 10, 9, 10, 9, 4, 4, 7, 6, 6, 9, 10, 10, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 9, 9, 8, 4, 4, 6, 6, 9, 10, 10, 10, 9, 8, 4, 4, 6, 6, 8, 9, 8, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 8, 8, 7, 5, 5, 8, 8, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 11, 12, 11, 10, 12, 14, 14, 14, 13, 14, 13, 6, 6, 9, 10, 9, 10, 9, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 1, 6, 6, 2, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 1, 6, 6, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 1, 6, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 4, 4, 4, 4, 6, 6, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 9, 9, 9, 9, 0, 10, 10, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 3, 3, 3, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 5, 5, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 0, 4, 4, 5, 5, 5, 1, 1, 1, 1, 5, 5, 0, 2, 1, 5, 5, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 12, 12, 12, 1, 1, 1, 1, 12, 12, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 5, 5, 0, 2, 1, 1, 1, 4, 4 ]
[ 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 32875, 521, 1955, 81, 15916, 11980, 280, 308, 284, 2726, 34, 35, 370, 30121, 3421, 919, 13356, 284, 2726, 34, 36, 370, 30121, 1504, 21899, 15331, 13356, 284, 2726, 34, 37, 370, 30121, 1504, 329, 692, 13356, 284, 2726, 34, 38, 370, 30121, 1504, 2302, 905, 13356, 284, 2726, 34, 39, 370, 30121, 4695, 16945, 13356, 284, 2726, 34, 40, 370, 30121, 8418, 2461, 21063, 13356, 284, 2726, 34, 41, 370, 30121, 7626, 1882, 551, 1552, 4177, 13356, 284, 2726, 34, 42, 370, 30121, 2900, 3308, 17130, 13356, 284, 2726, 34, 43, 370, 30121, 27526, 29836, 13356, 284, 2726, 35, 34, 370, 30121, 53, 8220, 307, 13356, 284, 2726, 35, 35, 370, 30121, 31539, 425, 13356, 284, 2726, 35, 36, 370, 30121, 8946, 342, 315, 13356, 284, 2726, 35, 37, 370, 30121, 20937, 36379, 11443, 13356, 284, 2726, 35, 38, 370, 30121, 53, 655, 906, 83, 13356, 284, 2726, 35, 39, 370, 30121, 51, 8862, 12120, 13356, 284, 2726, 35, 40, 370, 30121, 24901, 272, 1173, 13356, 284, 2726, 35, 41, 370, 30121, 57, 476, 17130, 13356, 284, 2726, 35, 42, 370, 30121, 39743, 4223, 13356, 284, 2726, 35, 43, 370, 30121, 5708, 339, 279, 2461, 9132, 13356, 284, 2726, 36, 34, 370, 30121, 5708, 639, 11964, 7954, 83, 13356, 284, 2726, 36, 35, 370, 30121, 58, 8335, 5319, 13356, 284, 2726, 36, 36, 370, 30121, 58, 1032, 1173, 13356, 284, 2726, 36, 37, 370, 30121, 28197, 272, 13356, 284, 2726, 36, 38, 370, 30121, 1475, 267, 13356, 284, 2726, 36, 39, 370, 30121, 62, 274, 8785, 13356, 284, 2726, 36, 40, 370, 30121, 7403, 45245, 4595, 13356, 284, 2726, 36, 41, 370, 30121, 62, 19343, 13356, 284, 2726, 36, 42, 370, 30121, 43945, 1923, 13356, 284, 2726, 36, 43, 370, 30121, 22008, 13652, 13356, 284, 2726, 37, 34, 370, 30121, 63, 305, 37917, 13356, 284, 2726, 37, 35, 370, 30121, 6646, 282, 268, 13356, 284, 2726, 37, 36, 370, 30121, 65, 27206, 277, 13356, 284, 2726, 37, 37, 370, 30121, 19511, 305, 3224, 13356, 284, 2726, 37, 38, 370, 30121, 19543, 9820, 13356, 284, 2726, 37, 39, 370, 30121, 62, 302, 39307, 6294, 13356, 284, 2726, 37, 40, 370, 30121, 66, 388, 87, 2236, 1691, 13356, 284, 2726, 37, 41, 370, 30121, 15673, 12241, 1173, 13356, 284, 2726, 37, 42, 370, 30121, 43112, 390, 2947, 108, 409, 394, 749, 6354, 13356, 284, 2726, 37, 43, 370, 30121, 53, 692, 360, 13583, 13356, 284, 2726, 38, 34, 370, 30121, 903, 7182, 905, 13356, 284, 2726, 38, 35, 370, 30121, 903, 31013, 13356, 284, 2726, 38, 36, 370, 30121, 69, 25297, 13356, 284, 2726, 38, 37, 370, 30121, 70, 846, 481, 17130, 13356, 284, 2726, 38, 38, 370, 30121, 9061, 8335, 13356, 284, 2726, 38, 39, 370, 30121, 705, 1231, 97, 13356, 284, 2726, 38, 40, 370, 30121, 1402, 9820, 13356, 284, 2726, 38, 41, 370, 30121, 72, 464, 339, 9509, 13356, 284, 2726, 38, 42, 370, 30121, 37609, 3795, 905, 13356, 284, 2726, 38, 43, 370, 30121, 76 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 4, 8 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 1, 2, 7, 1, 1, 1, 2, 2, 2, 1, 1, 2, 9, 1, 1, 2, 2, 2, 1, 1, 2, 11, 1, 1, 1, 2, 2, 2, 1, 1, 2, 13, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 15, 1, 1, 1, 2, 2, 2, 1, 1, 2, 17, 1, 1, 2, 2, 2, 1, 1, 2, 19, 1, 1, 1, 2, 2, 2, 1, 1, 2, 21, 1, 1, 2, 2, 2, 1, 1, 2, 23, 1, 1, 1, 2, 2, 2, 1, 1, 2, 25, 1, 1, 1, 2, 2, 2, 1, 1, 2, 27, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 29, 1, 1, 1, 2, 2, 2, 1, 1, 2, 31, 1, 1, 1, 2, 2, 2, 1, 1, 2, 33, 1, 1, 1, 2, 2, 2, 1, 1, 2, 35, 1, 1, 2, 2, 2, 1, 1, 2, 37, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 39, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 41, 1, 1, 1, 2, 2, 2, 1, 1, 2, 43, 1, 1, 1, 2, 2, 2, 1, 1, 2, 45, 1, 1, 2, 2, 2, 1, 1, 2, 47, 1, 1, 2, 2, 2, 1, 1, 2, 49, 1, 1, 1, 2, 2, 2, 1, 1, 2, 51, 1, 1, 1, 2, 2, 2, 1, 1, 2, 53, 1, 1, 2, 2, 2, 1, 1, 2, 55, 1, 1, 2, 2, 2, 1, 1, 2, 57, 1, 1, 2, 2, 2, 1, 1, 2, 59, 1, 1, 1, 2, 2, 2, 1, 1, 2, 61, 1, 1, 1, 2, 2, 2, 1, 1, 2, 63, 1, 1, 1, 2, 2, 2, 1, 1, 2, 65, 1, 1, 1, 2, 2, 2, 1, 1, 2, 67, 1, 1, 2, 2, 2, 1, 1, 2, 69, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 71, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 73, 1, 1, 1, 2, 2, 2, 1, 1, 2, 75, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 77, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 79, 1, 1, 1, 2, 2, 2, 1, 1, 2, 81, 1, 1, 2, 2, 2, 1, 1, 2, 83, 1, 1, 2, 2, 2, 1, 1, 2, 85, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 87, 1, 1, 2, 2, 2, 1, 1, 2, 89, 1, 1, 1, 2, 2, 2, 1, 1, 2, 91, 1, 1, 2, 2, 2, 1, 1, 2, 93, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 95, 1, 1, 1, 2, 2, 2, 1, 1, 2, 97, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 16672, 203, 465, 5741, 203, 465, 2322, 203, 465, 316, 203, 465, 6314, 203, 465, 16539, 203, 465, 5237, 203, 465, 13539, 761, 203, 465, 8529, 761, 203, 1070, 20717, 1188, 20642, 3103, 2281, 30, 5547, 1959, 203, 1070, 281, 652, 2338, 1188, 44524, 619, 45588, 2338, 203, 1070, 13625, 1188, 31466, 203, 1070, 3383, 2825, 1188, 16289, 46487, 203, 1070, 3363, 1188, 18394, 2338, 30, 44524, 203, 465, 5167, 203, 1761, 1972, 280, 1665, 203, 1335, 1711, 2348, 280, 1665, 203, 1335, 1972, 280, 1665, 203, 20104, 2348, 280, 1665, 203, 1862, 1972, 280, 1665, 203, 27343, 557, 8736, 280, 1665, 203, 10785, 280, 1665, 203, 6308, 280, 1665, 203, 105, 385, 2501, 928, 280, 1665, 203, 105, 1753, 311, 1384, 280, 1665, 203, 105, 385, 81, 2388, 280, 1665, 203, 105, 1753, 311, 1384, 81, 2388, 280, 1665, 203, 4073, 280, 1665, 203, 589, 745, 81, 31890, 81, 22450, 2262, 284, 3649, 3772, 1972, 284, 3649, 33735, 2348, 284, 3649, 7537, 1972, 284, 3649, 394, 84, 557, 8736, 284, 3649, 11607, 284, 3649, 6187, 284, 3649, 341, 385, 2501, 928, 284, 3649, 341, 1753, 311, 1384, 284, 645, 7562, 108, 751, 1188, 6187, 284, 645, 7562, 108, 751, 32, 1643, 5725, 1188, 394, 84, 557, 8736, 284, 645, 7562, 108, 751, 32, 14458, 1188, 3772, 1972, 30, 33735, 2348, 30, 7537, 1972, 284, 645, 8684, 32, 10785, 1188, 11607, 284, 645, 341, 1753, 311, 1384, 1188, 341, 385, 2501, 928, 30, 341, 1753, 311, 1384, 284, 4705, 81, 751, 81, 4531, 346, 284, 4705, 81, 1141, 81, 2029, 346, 203, 589, 4705, 81, 7490, 2262, 284, 4899, 280, 5741, 32, 1862, 1972, 26, 3731, 32, 9362, 27, 284, 14971, 280, 5741, 32, 8736, 26, 7490, 32, 30160, 81, 9302, 30, 1665, 27, 284, 4899, 32, 470, 8736, 26, 14548, 27, 284, 4082, 32, 669, 1972, 26, 4531, 27, 284, 4082, 32, 34318, 26, 7490, 32, 2897, 27, 203, 589, 4705, 81, 1141, 81, 2029, 2262, 284, 3649, 2662, 1711, 2348, 284, 443, 2662, 1711, 2348, 26, 1761, 1972, 711, 291, 665, 1156, 1664, 3207, 784, 30, 8267, 30, 6885, 711, 324, 3772, 1972, 3667, 1664, 3207, 784, 30, 8267, 27, 324, 630, 32, 3369, 280, 8267, 324, 630, 32, 3543, 280, 6885, 291, 665, 1156, 1851, 3207, 784, 30, 1623, 711, 324, 415, 1623, 1365, 1141, 1446, 328, 630, 32, 3543, 44, 400, 442, 630, 32, 3369, 26, 1094, 27, 203, 823, 25043, 15483, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 711, 291, 630, 32, 426, 280, 636, 284, 665, 1156, 1403, 3207, 784, 711, 291, 1459, 440, 11402, 81, 8673, 44, 1366, 6069, 101, 20, 904, 630, 32, 426, 30, 803, 47, 3731, 32, 8228, 27, 284, 665, 1156, 4775, 3207, 784, 30, 827, 30, 786, 30, 27374, 711, 291, 1459, 440, 11402, 81, 8673, 44, 416, 6069, 101, 20, 904, 630, 32, 426, 30, 803, 47, 3731, 32, 8228, 27, 203, 823, 8287, 318, 2338, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 2, 2, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 0, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 2, 2, 0, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 4, 4, 2, 2, 3, 2, 2, 3, 2, 2, 3, 4, 4, 4, 2, 2, 3, 4, 4, 4, 2, 2, 3, 5, 5, 3, 3, 2, 2, 3, 5, 5, 4, 5, 5, 3, 3, 5, 5, 5, 2, 2, 3, 5, 5, 4, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 2, 2, 3, 4, 5, 3, 3, 2, 2, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 8, 8, 6, 6, 6, 2, 2, 5, 6, 6, 5, 6, 5, 2, 2, 5, 6, 6, 5, 6, 5, 2, 2, 5, 6, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 2, 2, 3, 4, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 10, 9, 10, 10, 10, 9, 9, 9, 6, 6, 9, 10, 8, 8, 6, 6, 9, 10, 8, 8, 4, 4, 5, 6, 6, 7, 6, 6, 6, 5, 5, 7, 9, 11, 11, 8, 8, 9, 10, 7, 7, 7, 9, 11, 12, 11, 12, 11, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 7, 8, 10, 9, 10, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 7, 8, 10, 9, 10, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 0, 9, 9, 0, 0, 10, 10, 10, 10, 0, 0, 10, 10, 0, 0, 11, 11, 0, 0, 11, 11, 3, 3, 2, 0, 12, 12, 12, 12, 0, 13, 13, 0, 13, 13, 0, 0, 14, 14, 14, 14, 0, 14, 14, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 29, 1, 1, 1, 1, 2, 29, 29, 0, 1, 4, 4, 1, 1, 4, 4, 2, 1, 4, 4, 3, 1, 1, 1, 4, 4, 4, 4, 4, 5, 4, 4, 6, 1, 1, 1, 4, 4, 7, 1, 1, 1, 4, 4, 8, 0, 0, 8, 8, 4, 4, 9, 0, 0, 1, 2, 2, 9, 9, 0, 0, 0, 4, 4, 10, 0, 0, 1, 2, 10, 10, 0, 10, 10, 0, 10, 10, 0, 4, 4, 11, 1, 2, 11, 11, 4, 4, 12, 0, 0, 0, 12, 12, 0, 0, 0, 12, 12, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 0, 30, 30, 1, 1, 2, 30, 30, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 0, 31, 31, 1, 1, 1, 1, 2, 31, 31, 0, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 32, 32, 1, 2, 1, 2, 32, 32, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 0, 2, 2, 1, 0, 33, 33, 1, 1, 2, 1, 2, 33, 33, 0, 1, 1, 1 ]
[ 465, 45977, 203, 823, 47800, 26, 687, 1729, 32, 13172, 711, 284, 665, 9336, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 4275, 30, 8644, 81, 1274, 27, 284, 665, 9843, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 4275, 30, 286, 3205, 81, 1274, 27, 203, 823, 29494, 279, 8770, 26, 687, 1729, 32, 44571, 8770, 711, 284, 665, 9336, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 784, 32, 4275, 30, 8644, 81, 1274, 5594, 34, 79, 203, 823, 29494, 279, 11717, 26, 687, 1729, 32, 44571, 11717, 711, 284, 665, 9843, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 784, 32, 4275, 30, 286, 3205, 81, 1274, 5594, 34, 79, 203, 823, 7537, 3976, 26, 13172, 30, 687, 1729, 32, 1862, 3976, 711, 284, 3097, 203, 823, 7537, 3300, 26, 13172, 30, 687, 1729, 32, 33667, 711, 284, 3097, 203, 589, 622, 1582, 3038, 2262, 284, 442, 45977, 32, 13172, 1120, 26, 291, 636, 1057, 2219, 35, 36, 39, 37, 370, 291, 9336, 47, 13172, 922, 4434, 30, 291, 9843, 47, 13172, 922, 5460, 30, 291, 33530, 13023, 47, 44571, 8770, 30, 291, 33530, 14858, 47, 44571, 11717, 30, 291, 3443, 6308, 47, 33667, 30, 291, 3443, 7572, 47, 1862, 3976, 30, 284, 829, 203, 286, 3205, 81, 1274, 280, 308, 284, 1044, 10255, 106, 34, 34, 25, 647, 284, 1044, 10255, 106, 34, 35, 25, 647, 284, 1044, 10255, 106, 34, 36, 25, 647, 284, 1044, 10255, 106, 34, 37, 25, 647, 284, 1044, 10255, 106, 34, 38, 25, 647, 284, 1044, 10255, 106, 34, 39, 25, 647, 284, 1044, 10255, 106, 34, 40, 25, 647, 284, 1044, 10255, 106, 34, 41, 25, 647, 284, 1044, 10255, 106, 34, 42, 25, 647, 284, 1044, 10255, 102, 25, 351, 284, 1044, 10255, 96, 25, 351, 284, 1044, 10255, 106, 34, 84, 25, 647, 284, 1044, 10255, 106, 34, 85, 25, 647, 284, 1044, 10255, 100, 25, 351, 284, 1044, 10255, 106, 34, 87, 25, 647, 284, 1044, 10255, 106, 34, 88, 25, 647, 284, 1044, 10255, 106, 35, 34, 25, 647, 284, 1044, 10255, 106, 35, 35, 25, 647, 284, 1044, 10255, 106, 35, 36, 25, 647, 284, 1044, 10255, 106, 35, 37, 25, 647, 284, 1044, 10255, 106, 35, 38, 25, 647, 284, 1044, 10255, 106, 35, 39, 25, 647, 284, 1044, 10255, 106, 35, 40, 25, 647, 284, 1044, 10255, 106, 35, 41, 25, 647, 284, 1044, 10255, 106, 35, 42, 25, 647, 284, 1044, 10255, 106, 35, 43, 25, 647, 284, 1044, 10255, 106, 35, 83, 25, 647, 284, 1044, 10255, 106, 35, 84, 25, 647, 284, 1044, 10255, 106, 35, 85, 25, 647, 284, 1044, 10255, 106, 35, 86, 25, 647, 284, 1044, 10255, 106, 35, 87, 25, 647, 284, 1044, 10255, 106, 35, 88, 25, 647 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 4, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 6, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 9, 9, 8, 5, 5, 5, 6, 9, 9, 8, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 6, 4, 4, 4, 6, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4 ]
[ 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 3, 2, 0, 5, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 1, 4, 4, 1, 2, 1, 2, 3, 2, 0, 5, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 5, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 1, 2, 1, 0, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 5, 1, 2, 1, 0, 4, 4, 1, 2, 1, 2, 0, 0, 3, 2, 2, 2, 4, 4, 0, 5, 5, 1, 2, 1, 2, 0, 0, 3, 2, 2, 5, 5, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 2, 1, 1, 1, 5, 0, 1, 2, 1, 1, 1, 0, 7, 2, 2, 1, 1, 1, 0, 9, 2, 2, 1, 1, 1, 0, 11, 2, 1, 1, 1, 0, 13, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 7491, 1188, 11550, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 589, 5552, 81, 9321, 26, 1621, 30, 3387, 30, 1755, 81, 11025, 47, 2700, 30, 5657, 81, 23859, 47, 1815, 30, 2608, 81, 26640, 47, 2700, 711, 284, 415, 1755, 81, 11025, 44, 291, 10343, 280, 3387, 32, 410, 32402, 32, 11025, 81, 1274, 81, 4243, 26, 2585, 81, 12724, 47, 1815, 30, 2305, 81, 4338, 47, 2700, 27, 284, 813, 44, 291, 10343, 280, 3387, 32, 410, 32402, 32, 1274, 81, 4243, 26, 1017, 81, 4338, 47, 2700, 27, 284, 8690, 101, 280, 3387, 32, 410, 32402, 32, 7508, 81, 668, 346, 415, 5657, 81, 23859, 813, 1404, 284, 15252, 280, 3387, 32, 4156, 32, 2602, 81, 9321, 26, 1621, 30, 10343, 30, 8690, 101, 30, 2608, 81, 26640, 27, 284, 442, 15252, 203, 589, 9533, 81, 1001, 81, 20119, 81, 7295, 26, 38974, 30, 18978, 30, 3082, 711, 284, 436, 1123, 81, 1163, 328, 11550, 32, 371, 81, 725, 81, 15752, 2262, 291, 415, 1123, 81, 1163, 32, 3378, 81, 1647, 438, 1665, 44, 324, 4036, 291, 415, 39451, 2377, 225, 36, 44, 324, 1459, 440, 9514, 1406, 31, 20119, 15098, 436, 3022, 904, 101, 20, 904, 1123, 81, 1163, 32, 1172, 27, 291, 4549, 32, 28771, 32, 1001, 81, 20119, 32, 2714, 26, 324, 7045, 47, 725, 81, 1163, 30, 324, 1123, 81, 1163, 47, 725, 81, 1163, 30, 324, 39451, 47, 38974, 30, 324, 18978, 47, 17107, 30, 324, 1471, 47, 1199, 27, 203, 589, 9533, 81, 1526, 81, 20119, 81, 7295, 26, 38974, 30, 18978, 30, 3082, 711, 284, 436, 1123, 81, 1163, 328, 11550, 32, 371, 81, 725, 81, 15752, 2262, 291, 415, 1123, 81, 1163, 32, 3378, 81, 1647, 438, 1665, 44, 324, 4036, 291, 415, 39451, 2377, 225, 36, 44, 324, 1459, 440, 9514, 2364, 31, 20119, 15098, 436, 3022, 904, 101, 20, 904, 1123, 81, 1163, 32, 1172, 27, 291, 4549, 32, 28771, 32, 1526, 81, 20119, 32, 2714, 26, 324, 7045, 47, 725, 81, 1163, 30, 324, 1123, 81, 1163, 47, 725, 81, 1163, 30, 324, 39451, 47, 38974, 30, 324, 18978, 47, 17107, 30, 324, 1471, 47, 1199, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 9, 10, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 9, 10, 8, 8, 10, 10, 9, 10, 8, 3, 3, 4, 4, 4, 7, 7, 10, 11, 11, 9, 10, 10, 10, 9, 11, 11, 11, 10, 11, 9, 2, 2, 5, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 5, 5, 6, 6, 5, 5, 2, 2, 4, 4, 7, 8, 6, 7, 7, 7, 6, 7, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 8, 8, 7, 8, 8, 8, 6, 6, 5, 5, 5, 4, 4, 5, 6, 6, 7, 5, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 11, 12, 9, 4, 4, 9, 10, 8, 9, 9, 9, 7, 8, 7, 7, 7, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 8, 8, 7, 8, 8, 8, 6, 6, 5, 5, 5, 4, 4, 5, 6, 6, 7, 5, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 11, 12, 9, 4, 4, 9, 10, 8, 9, 9, 9, 7, 8, 7, 7, 7, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 7, 7, 1, 4, 4, 3, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 5, 5, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 5, 5, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 7138, 203, 465, 11171, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 5692, 924, 30, 19444, 462, 631, 30096, 203, 1070, 8527, 32, 1199, 1188, 8745, 203, 1070, 8527, 32, 1199, 32, 11514, 1188, 8745, 619, 9161, 81, 2304, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 1439, 32, 14663, 1188, 3772, 3954, 11208, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 40386, 1196, 30, 3829, 203, 1070, 8527, 32, 2304, 1188, 18792, 30, 22158, 203, 1070, 8527, 32, 2304, 32, 770, 2208, 1188, 3185, 81, 770, 30, 3185, 81, 6665, 30, 3185, 81, 1003, 203, 1070, 8527, 32, 2304, 32, 6932, 1188, 7459, 81, 800, 203, 1270, 44, 284, 1188, 3619, 10185, 203, 7343, 29986, 44, 284, 3619, 10185, 280, 1665, 203, 823, 6716, 11208, 26, 1761, 3954, 11208, 711, 284, 665, 21590, 81, 4432, 81, 891, 26, 784, 30, 3829, 30, 35295, 711, 291, 2723, 280, 225, 43, 43, 43, 415, 2069, 26, 4151, 27, 848, 225, 35, 813, 225, 39, 34, 34, 291, 442, 308, 3248, 434, 2069, 26, 4151, 490, 415, 2069, 26, 4151, 27, 848, 225, 34, 813, 2069, 26, 25057, 27, 284, 665, 1505, 81, 7672, 81, 3592, 26, 784, 30, 6101, 711, 291, 6658, 81, 4151, 280, 308, 4151, 32, 1547, 1176, 30, 3829, 32, 36172, 30, 3829, 32, 1043, 1176, 27, 291, 6658, 81, 45998, 1196, 280, 308, 45998, 1196, 32, 4934, 30, 40386, 1196, 32, 19853, 30, 40386, 1196, 32, 43613, 30, 40386, 1196, 32, 10686, 8483, 27, 291, 415, 6937, 26, 7672, 30, 6658, 81, 45998, 1196, 711, 324, 436, 9810, 328, 6101, 32, 371, 81, 1855, 81, 23483, 2262, 400, 1596, 44, 528, 1688, 81, 1495, 280, 9810, 32, 2024, 81, 1495, 528, 415, 6937, 26, 2024, 81, 1495, 30, 6658, 81, 4151, 711, 715, 3636, 22210, 26, 1014, 330, 4282, 4881, 793, 10720, 30, 399, 8163, 30, 27763, 8483, 30, 461, 18956, 723, 330, 1014, 330, 45998, 993, 544, 2340, 33, 1003, 3829, 328, 17735, 37, 330, 1014, 330, 8119, 2340, 33, 1003, 438, 7511, 619, 1344, 4564, 715, 829, 400, 2940, 5692, 924, 44, 528, 3097, 284, 665, 2340, 81, 8281, 81, 2602, 26, 784, 30, 11470, 81, 681, 30, 1600, 81, 426, 711, 291, 442, 313, 11025, 81, 770, 81, 8281, 15339, 101, 370, 904, 101, 4731, 904, 308, 10122, 81, 681, 32, 5729, 1026, 1600, 81, 426, 27, 284, 665, 2340, 81, 7568, 81, 2602, 26, 784, 30, 30784, 711, 291, 442, 5335, 23, 101, 7362, 904, 7459, 81, 800, 26, 32888, 471, 1605, 284, 665, 2179, 81, 979, 81, 6932, 81, 282, 17169, 26, 784, 30, 5552, 711, 291, 442, 5552, 284, 665, 2340, 81, 28810, 81, 2602, 26, 784, 30, 11470, 81, 681, 30, 1600, 81, 426, 711, 291, 442, 313, 11025, 81, 770, 81, 28810, 15339, 101, 370, 904, 101, 4731, 904, 308, 10122, 81, 681, 32, 5729, 1026, 1600, 81, 426, 27, 284, 665, 617, 1981, 81, 978, 10185, 26, 784, 711, 291, 415, 4070, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 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, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 8, 8, 7, 7, 10, 11, 10, 8, 8, 9, 7, 7, 8, 8, 8, 4, 4, 5, 9, 8, 8, 10, 11, 10, 6, 6, 9, 10, 9, 7, 7, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 9, 8, 9, 9, 7, 7, 8, 9, 7, 7, 8, 9, 9, 7, 4, 4, 7, 7, 7, 6, 6, 9, 9, 8, 9, 7, 7, 9, 8, 9, 7, 7, 9, 8, 9, 7, 7, 9, 8, 9, 9, 7, 4, 4, 5, 7, 8, 7, 7, 8, 8, 8, 7, 5, 5, 7, 7, 7, 9, 10, 10, 10, 10, 10, 9, 7, 7, 9, 9, 9, 13, 13, 12, 12, 13, 14, 14, 14, 10, 10, 11, 13, 14, 14, 14, 13, 13, 14, 14, 13, 11, 11, 13, 15, 15, 15, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 15, 15, 9, 9, 10, 11, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 10, 10, 9, 10, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 9, 9, 9, 7, 7, 9, 9, 9, 10, 9, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 10, 10, 9, 10, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 3, 3, 2, 2, 0, 7, 7, 1, 2, 1, 4, 1, 6, 1, 8, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 8, 8, 0, 9, 9, 1, 2, 9, 9, 9, 9, 0, 10, 10, 1, 2, 1, 4, 4, 10, 10, 0, 0, 10, 10, 0, 0, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 12, 12, 12, 12, 0, 0, 12, 3, 3, 3, 3, 3, 0, 0, 0, 0, 13, 13, 1, 2, 1, 1, 1, 2, 13, 13, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 3, 2, 2, 2, 0, 5, 2, 2, 2, 0, 7, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 3, 3, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 3, 3, 2, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0 ]
[ 1070, 8527, 32, 2387, 32, 1536, 9211, 1188, 13380, 16138, 28810, 203, 1070, 8527, 32, 858, 1188, 7155, 7233, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 3634, 81, 4770, 203, 1070, 4377, 2304, 1188, 4705, 203, 823, 632, 100, 16138, 28810, 4470, 26, 5291, 7233, 711, 284, 477, 5522, 1371, 291, 330, 305, 16138, 28810, 34, 35, 950, 330, 4572, 2267, 11731, 2126, 3328, 1656, 312, 110, 305, 16138, 28810, 1924, 42, 20, 2038, 3335, 323, 110, 305, 16138, 28810, 1924, 42, 20, 2038, 4572, 943, 2837, 11731, 3328, 25, 284, 1790, 284, 665, 894, 81, 305, 16138, 28810, 34, 35, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 26, 324, 330, 305, 16138, 28810, 34, 35, 370, 324, 301, 400, 330, 83, 950, 6113, 16926, 20, 1913, 555, 2763, 32, 508, 33, 106, 10068, 107, 12483, 400, 330, 84, 950, 3634, 81, 4770, 41392, 2462, 45, 11691, 24, 2462, 45, 1913, 555, 2763, 32, 508, 49, 106, 10068, 757, 45, 107, 1057, 471, 324, 801, 291, 829, 291, 630, 32, 5299, 26, 324, 1688, 30, 324, 6113, 16926, 20, 333, 83, 976, 347, 525, 555, 2763, 32, 508, 33, 106, 10068, 757, 45, 107, 347, 1875, 347, 22017, 413, 525, 44, 15004, 83, 48, 330, 324, 15441, 2462, 45, 11691, 24, 2462, 45, 333, 83, 976, 347, 525, 555, 2763, 32, 508, 49, 106, 10068, 757, 45, 107, 347, 1875, 347, 22017, 413, 525, 44, 15004, 83, 6457, 291, 829, 284, 477, 5522, 14178, 305, 16138, 28810, 34, 36, 950, 23728, 312, 110, 305, 16138, 28810, 1924, 42, 20, 2038, 3335, 323, 110, 305, 16138, 28810, 1924, 42, 20, 2038, 18143, 284, 665, 894, 81, 305, 16138, 28810, 34, 36, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 26, 324, 330, 305, 16138, 28810, 34, 36, 370, 324, 301, 400, 330, 83, 950, 6113, 16926, 20, 1913, 555, 2763, 32, 508, 33, 106, 10068, 107, 12483, 400, 330, 84, 950, 3634, 81, 4770, 41392, 2462, 45, 11691, 24, 2462, 45, 1913, 555, 2763, 32, 508, 49, 106, 10068, 757, 45, 107, 1057, 471, 324, 801, 291, 829, 291, 630, 32, 5299, 26, 324, 1688, 30, 324, 15441, 2462, 45, 16926, 24, 2462, 45, 333, 83, 976, 347, 525, 555, 2763, 32, 508, 33, 106, 10068, 757, 45, 107, 347, 1875, 347, 22017, 413, 525, 44, 15004, 83, 48, 330, 324, 15441, 2462, 45, 11691, 24, 2462, 45, 333, 83, 976, 347, 525, 555, 2763, 32, 508, 49, 106, 10068, 757, 45, 107, 347, 1875, 347, 22017, 413, 525, 44, 15004, 83, 6457, 291, 829, 203, 823, 4540, 4470, 26, 5291, 7233, 711, 284, 665, 894, 81, 25432, 26, 784, 711, 291, 8210, 280, 330, 525, 555, 37, 35, 10187, 3423, 32, 508, 33, 858, 7404, 291, 630, 32, 5299, 26, 1657, 26, 3423, 471, 225, 37, 35, 27, 291, 630, 32, 5299, 26, 324, 13380, 16138, 28810, 26, 3423, 30, 225, 37, 35, 471, 324, 4145, 83, 976, 347, 525, 555, 37, 35, 10187 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 11, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 10, 10, 9, 9, 5, 5, 8, 9, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 2, 2, 6, 6, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 11, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 10, 10, 9, 9, 5, 5, 8, 9, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 8, 8, 7, 4, 4, 7, 8, 7, 7, 7, 9, 9, 9, 10, 9, 9, 10, 10, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9592, 203, 2272, 438, 322, 11210, 2043, 18042, 41453, 45, 561, 37239, 5927, 372, 312, 2145, 25966, 810, 390, 789, 56, 1271, 22514, 508, 31202, 45, 1273, 688, 203, 3374, 526, 5372, 372, 1346, 2145, 29395, 322, 35059, 41453, 81, 2059, 32, 978, 2932, 2652, 32, 203, 9592, 203, 465, 19571, 203, 465, 5167, 203, 465, 1133, 203, 465, 26313, 203, 465, 42406, 203, 1436, 280, 4247, 203, 6443, 38839, 280, 225, 34, 203, 7986, 280, 225, 34, 203, 1216, 463, 423, 5412, 35059, 41453, 683, 203, 1216, 463, 647, 8513, 31, 1043, 40005, 24379, 7944, 16090, 3859, 683, 203, 1216, 463, 26, 85, 27, 36, 34, 35, 39, 29118, 390, 10137, 429, 390, 789, 56, 1271, 22514, 508, 31202, 683, 203, 1216, 463, 5877, 336, 683, 203, 1216, 463, 1934, 1344, 438, 12785, 372, 27045, 30, 1755, 19400, 461, 499, 884, 5420, 683, 203, 1216, 14969, 1598, 79, 429, 19504, 8513, 31, 1043, 40005, 30865, 203, 6126, 280, 2156, 440, 8861, 32, 6126, 392, 330, 100, 683, 261, 203, 6126, 280, 19571, 32, 944, 26, 6126, 27, 203, 1216, 14969, 1598, 79, 429, 42431, 30865, 203, 699, 280, 596, 26, 1294, 81, 1131, 440, 29916, 26173, 44, 29450, 203, 18177, 1319, 1218, 280, 3037, 83, 392, 313, 84, 392, 313, 85, 392, 313, 86, 392, 313, 87, 392, 313, 88, 392, 313, 89, 392, 313, 90, 392, 313, 91, 392, 313, 92, 392, 313, 93, 392, 313, 94, 392, 313, 95, 392, 284, 313, 96, 392, 313, 97, 392, 313, 98, 392, 313, 99, 392, 313, 100, 392, 313, 101, 392, 313, 102, 392, 313, 103, 392, 313, 104, 392, 313, 105, 392, 313, 106, 392, 313, 107, 392, 313, 108, 392, 313, 3003, 10685, 1446, 203, 589, 8735, 39, 26, 10555, 711, 10065, 3677, 280, 42406, 32, 954, 39, 346, 284, 623, 2156, 26, 10555, 30, 313, 4506, 657, 619, 296, 44, 291, 436, 7311, 328, 3850, 26, 5962, 44, 296, 32, 850, 26, 38, 34, 43, 40, 471, 323, 20, 10280, 324, 3677, 32, 1877, 26, 7190, 27, 284, 442, 3677, 32, 6949, 13995, 346, 203, 589, 18884, 26, 1436, 30, 12887, 38839, 711, 10065, 11830, 280, 1605, 284, 436, 1351, 328, 1474, 32, 5729, 2262, 4456, 436, 24479, 1284, 328, 2155, 26, 35, 30, 2069, 26, 18177, 1319, 1218, 8531, 4288, 415, 1351, 438, 6059, 4964, 1319, 1218, 77, 33185, 1284, 429, 225, 35, 2786, 8982, 11830, 32, 1689, 26, 33185, 1284, 27, 400, 1626, 284, 1158, 280, 4247, 284, 436, 1929, 328, 11830, 44, 4456, 15808, 280, 308, 106, 474, 9789, 77, 6443, 38839, 1130, 904, 225, 36, 42, 4456, 1158, 280, 1158, 474, 6059, 4964, 1319, 1218, 77, 1516, 429, 225, 35, 79, 4456, 12887, 38839, 280, 12887, 38839, 474, 225, 35, 284, 442, 1158, 30, 12887, 38839, 203, 589, 24827, 26, 1436, 30, 12887, 38839, 711, 10065, 11830, 280, 1605, 284, 436, 816, 328, 1474, 32, 5729, 2262, 291, 415, 816, 438, 330, 83, 950, 324, 11830, 32, 1689, 26, 35, 27, 291, 415, 816, 438, 330, 84, 950, 324, 11830, 32, 1689, 26, 36 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 0, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 3, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 2, 2, 4, 6, 6, 6, 6, 4, 6, 6, 0, 0, 3, 2, 2, 4, 5, 4, 5, 4, 0, 3, 3, 5, 5, 5, 5, 5, 0, 3, 2, 2, 4, 6, 6, 6, 6, 8, 8, 8, 8, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 3, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 7, 6, 2, 2, 3, 8, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 5, 5, 5, 7, 8, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 7, 9, 9, 5, 5, 9, 10, 9, 10, 9, 2, 2, 3, 5, 6, 6, 5, 0, 1, 1, 2, 3, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 5, 6, 5, 5, 7, 8, 7, 7, 9, 10, 10, 10, 9, 5, 5, 7, 8, 8, 10, 10, 10, 9, 11, 11, 10, 10, 11, 9, 7, 7, 11, 12, 11, 12, 12, 11, 8, 8, 2, 2, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 10, 9, 9, 10, 11, 11, 10, 7, 7, 8, 8, 4, 4, 6, 6, 7, 7, 9, 9, 9, 8, 10, 9, 9, 10, 8, 4, 4, 7, 6, 6, 8, 7, 7, 8, 2, 2, 3, 4, 4, 5, 0, 1, 1, 2, 3, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 5, 6, 6, 8, 8, 5, 5, 9, 10, 9, 10, 9, 4, 4, 5, 6, 6, 8, 8, 5, 5, 9, 10, 9, 10 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 20, 20, 1, 2, 1, 2, 20, 20, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 0, 2, 2, 1, 0, 21, 21, 2, 1, 2, 2, 3, 2, 21, 21, 0, 0, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 4, 4, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 1, 1, 2, 0, 22, 22, 2, 1, 2, 2, 3, 2, 22, 22, 0, 0, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1 ]
[ 1070, 29551, 47291, 1188, 3089, 203, 465, 30902, 619, 4257, 203, 589, 10750, 2262, 284, 3089, 32, 1297, 81, 1274, 26, 291, 330, 8674, 100, 81, 2035, 81, 40175, 370, 291, 4257, 32, 2137, 463, 2035, 370, 4257, 32, 652, 26, 1322, 47, 36, 39, 39, 471, 12607, 47, 2700, 471, 291, 4257, 32, 2137, 463, 4229, 81, 2468, 370, 4257, 32, 652, 26, 1322, 47, 37, 36, 471, 1750, 12607, 47, 2700, 30, 5799, 47, 1815, 471, 291, 4257, 32, 18945, 9012, 463, 2035, 683, 284, 829, 284, 3089, 32, 1297, 81, 1274, 26, 291, 330, 696, 36, 81, 8674, 100, 81, 625, 81, 15910, 370, 291, 4257, 32, 2137, 463, 625, 81, 314, 370, 4257, 32, 652, 26, 1322, 47, 37, 40, 471, 12607, 47, 2700, 471, 291, 4257, 32, 2137, 463, 2035, 370, 4257, 32, 652, 26, 1322, 47, 36, 39, 39, 471, 12607, 47, 2700, 471, 291, 4257, 32, 2137, 463, 5785, 81, 314, 370, 4257, 32, 652, 26, 1322, 47, 37, 40, 471, 12607, 47, 1815, 471, 291, 4257, 32, 2137, 463, 104, 325, 81, 681, 370, 4257, 32, 652, 26, 1322, 47, 40, 38, 471, 12607, 47, 2700, 471, 291, 4257, 32, 2137, 463, 104, 325, 81, 3958, 370, 4257, 32, 652, 26, 1322, 47, 38, 34, 43, 39, 471, 1750, 12607, 47, 2700, 30, 2145, 81, 1536, 1057, 1425, 291, 4257, 32, 2137, 463, 13130, 295, 81, 681, 370, 4257, 32, 652, 26, 1322, 47, 40, 38, 471, 1750, 12607, 47, 2700, 30, 2145, 81, 1536, 1057, 4382, 1425, 291, 4257, 32, 2137, 463, 3959, 370, 4257, 32, 652, 26, 1322, 47, 38, 34, 43, 39, 471, 1750, 12607, 47, 2700, 30, 2145, 81, 1536, 1057, 1425, 291, 4257, 32, 2137, 463, 3625, 81, 625, 81, 2029, 370, 4257, 32, 4709, 1026, 12607, 47, 2700, 471, 291, 4257, 32, 2137, 463, 5350, 370, 4257, 32, 652, 26, 1322, 47, 40, 38, 471, 12607, 47, 1815, 471, 291, 4257, 32, 2137, 463, 8708, 370, 4257, 32, 652, 26, 1322, 47, 37, 40, 471, 12607, 47, 1815, 471, 291, 4257, 32, 2137, 26, 103, 1182, 102, 845, 370, 4257, 32, 652, 26, 35, 40, 471, 12607, 47, 2700, 471, 291, 4257, 32, 13343, 9012, 4901, 625, 81, 314, 2188, 2107, 11170, 32, 314, 2188, 1378, 544, 2560, 1057, 28781, 1425, 291, 4257, 32, 13343, 9012, 4901, 8708, 2188, 2107, 696, 36, 81, 4573, 81, 19978, 32, 314, 2188, 1378, 544, 2560, 1057, 2695, 1181, 1425, 291, 4257, 32, 18945, 9012, 463, 625, 81, 314, 370, 330, 2035, 683, 284, 829, 284, 3089, 32, 1297, 81, 1274, 26, 291, 330, 1729, 17572, 81, 94, 37, 81, 4867, 81, 15910, 370, 291, 4257, 32, 2137, 463, 5785, 81, 314, 370, 4257, 32, 652, 26, 1322, 47, 37, 40, 471, 12607, 47, 2700, 471, 291, 4257, 32, 2137, 463, 94, 37, 81, 4867, 81, 314, 370, 4257, 32, 652, 26, 1322, 47, 37, 40, 471, 12607, 47, 2700, 471, 291, 4257, 32, 2137, 463, 2035, 81, 314, 370, 4257, 32, 652, 26, 1322, 47, 36, 39, 39, 471, 12607, 47 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 5, 5, 7, 8, 8, 7, 9, 9, 5, 5, 2, 2, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 8, 7, 9, 9, 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, 11, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 11, 11, 9, 7, 7, 8, 9, 7, 7, 9, 9, 8, 10, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 9, 7, 7, 8, 9, 7, 7, 9, 9, 8, 10, 10, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 11, 11, 9, 7, 7, 8, 9, 7, 7, 9, 9, 8, 10, 5, 5, 7, 8, 7, 9, 9, 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, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 7, 9, 10, 9, 10, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 8, 7, 10, 10, 10, 10, 7, 10, 10, 10, 10, 7, 7, 9, 8, 10, 10, 5, 5, 7, 8, 8, 7, 10, 10, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 8, 10, 10, 10, 5, 5, 7, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 5, 5, 2, 2, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 11, 9, 7, 8 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 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, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 1, 1, 0, 2, 1, 1, 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, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 5, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 5, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 5 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2322, 203, 1070, 15798, 1188, 7116, 23093, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 1199, 32, 3378, 32, 8239, 1188, 21694, 30, 26911, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 42986, 1188, 35890, 81, 29260, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 12079, 1188, 475, 203, 1070, 8527, 32, 858, 1188, 19205, 30, 5079, 81, 19991, 30, 7116, 23093, 1996, 4228, 203, 1070, 8527, 32, 2304, 1114, 500, 1188, 973, 550, 203, 1070, 8527, 32, 2304, 32, 44136, 1188, 26396, 383, 36115, 36, 34, 5711, 203, 1070, 4377, 2304, 1188, 31751, 30, 2364, 21031, 203, 1070, 638, 3378, 1188, 17118, 30, 34097, 30, 23040, 687, 203, 50, 5961, 23093, 1996, 4228, 440, 21031, 81, 6565, 657, 203, 823, 16281, 7944, 1006, 26, 7233, 711, 284, 37743, 280, 2107, 4332, 785, 284, 665, 894, 34, 35, 81, 12940, 81, 944, 26, 784, 711, 291, 313, 23639, 12266, 7944, 5359, 3892, 10273, 3107, 291, 630, 32, 5299, 26, 42, 30, 17118, 32, 5740, 32, 998, 1157, 284, 477, 5961, 23093, 1996, 4228, 440, 25166, 81, 31818, 81, 6414, 9016, 392, 313, 25166, 81, 8018, 81, 300, 402, 31320, 657, 284, 665, 894, 34, 36, 81, 8018, 81, 10122, 26, 784, 711, 291, 313, 10855, 16281, 1625, 885, 7291, 11470, 2193, 544, 2979, 31, 1493, 12266, 7944, 3829, 3107, 291, 1288, 280, 23040, 687, 32, 5740, 32, 371, 26, 687, 1057, 41, 41, 34, 34, 36, 683, 291, 34237, 35, 280, 1149, 26, 11119, 32, 5740, 5556, 638, 2029, 26, 1493, 505, 8018, 81, 23825, 4310, 108, 32, 8541, 30, 475, 26, 4537, 47, 39, 34, 34, 2610, 5556, 638, 1174, 81, 1170, 463, 426, 683, 5556, 638, 2810, 81, 668, 463, 426, 370, 11913, 47, 1815, 490, 291, 34237, 36, 280, 1149, 26, 11119, 32, 5740, 5556, 638, 2029, 26, 1493, 505, 86, 20490, 4310, 108, 32, 8541, 30, 475, 26, 4537, 47, 39, 34, 34, 2610, 5556, 638, 1174, 81, 1170, 463, 426, 683, 5556, 638, 2810, 81, 668, 463, 426, 370, 11913, 47, 1815, 490, 291, 436, 34237, 328, 428, 31791, 35, 30, 34237, 36, 2786, 324, 630, 32, 5299, 4901, 54, 464, 302, 370, 330, 58, 644, 35365, 370, 330, 7558, 36294, 15815, 17118, 2188, 34237, 27, 284, 477, 5961, 23093, 1996, 4228, 440, 2040, 81, 8018, 81, 1959, 392, 313, 25166, 81, 8018, 81, 300, 402, 31320, 657, 284, 477, 3617, 81, 19991, 26, 3153, 47, 16986, 383, 36115, 36, 34, 5711, 27, 284, 665, 894, 34, 37, 81, 8018, 81, 1959, 26, 784, 711, 291, 313, 10855, 16281, 1625, 885, 32, 8018, 346, 2193, 544, 2979, 31, 1493, 12266, 7944, 3829, 3107, 291, 13663, 875, 280, 17118, 32, 5740, 32, 371, 26, 426, 1057, 58, 644, 35365, 683, 291, 23040, 687, 32, 5740, 32, 8018, 26, 384, 875, 32, 1493, 27, 284, 477, 5961, 23093, 26, 1526, 21031, 30, 313, 2272, 438, 312, 6401, 31611, 31, 10265, 894, 657, 284, 665, 894, 34, 38, 81, 5790, 81, 18246, 81, 8239, 26, 784, 711, 291, 313, 42098 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 3, 0, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5, 5, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 9, 8, 9, 8, 8, 11, 12, 10, 11, 10, 3, 3, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 12, 11, 12, 10, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 6, 6, 9, 8, 8, 10, 18, 17, 18, 16, 16, 17, 16, 18, 18, 18, 18, 18, 17, 20, 19, 20, 18, 18, 20, 22, 21, 22, 22, 22, 20, 14, 14, 15, 15, 15, 14, 16, 16, 12, 12, 13, 13, 13, 12, 14, 14, 12, 13, 14, 12, 6, 6, 9, 8, 8, 10, 18, 17, 18, 16, 16, 17, 16, 18, 18, 18, 18, 17, 20, 19, 20, 18, 18, 20, 22, 21, 22, 22, 22, 20, 14, 14, 15, 15, 15, 14, 16, 16, 12, 12, 13, 13, 13, 12, 14, 14, 12, 13, 14, 12, 6, 6, 7, 7, 7, 9, 9, 8, 8, 9, 8, 7, 7, 11, 12, 11, 14, 14, 14, 14, 12, 14, 14, 14, 14, 12, 14, 14, 14, 14, 14, 11, 11, 3, 3, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 7, 7, 9, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 8, 8, 11, 12, 10, 11, 10, 12, 11, 13, 13, 13, 13, 6, 6, 11, 10, 11, 9, 10, 9, 11, 11, 10, 11, 9, 3, 3, 7, 7, 7, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 3, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 6, 6, 1, 2, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 10, 10, 0, 10, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1 ]
[ 1070, 8527, 32, 858, 32, 1580, 1188, 4448, 2214, 203, 1070, 23065, 22262, 32, 1439, 32, 965, 46751, 1188, 10156, 203, 1070, 46624, 32, 4280, 1188, 7096, 81, 203, 1070, 23065, 22262, 32, 8701, 1088, 32, 1819, 81, 24715, 1188, 3333, 8613, 37226, 81, 753, 203, 1070, 23065, 22262, 32, 8701, 1088, 32, 4882, 1188, 19205, 203, 823, 2108, 11591, 8613, 37226, 3180, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 4918, 280, 4448, 2214, 346, 284, 665, 617, 6381, 8613, 37226, 26, 784, 30, 1984, 1057, 13093, 1115, 5321, 711, 291, 442, 3333, 8613, 37226, 81, 753, 26, 784, 32, 4918, 32, 371, 26, 965, 30, 10306, 490, 284, 665, 894, 81, 6381, 8613, 37226, 81, 753, 81, 16967, 26, 784, 711, 291, 7096, 5908, 784, 1114, 6381, 8613, 37226, 1026, 12797, 284, 665, 894, 81, 6381, 8613, 37226, 81, 753, 81, 88, 26, 784, 711, 291, 7096, 5908, 784, 1114, 6381, 8613, 37226, 26, 88, 1057, 39, 1425, 5053, 6381, 8613, 37226, 81, 314, 950, 330, 39, 18143, 291, 7096, 5908, 784, 1114, 6381, 8613, 37226, 26, 88, 1057, 36, 37, 38, 1425, 5053, 6381, 8613, 37226, 81, 314, 950, 330, 36, 37, 38, 18143, 284, 665, 894, 81, 6381, 8613, 37226, 81, 753, 81, 3371, 26, 784, 711, 291, 7096, 5908, 784, 1114, 6381, 8613, 37226, 26, 88, 1057, 39, 86, 795, 1425, 12797, 291, 7096, 5908, 784, 1114, 6381, 8613, 37226, 26, 88, 1057, 35, 36, 37, 38, 39, 40, 1425, 12797, 284, 665, 894, 81, 6381, 8613, 37226, 81, 753, 81, 12119, 81, 22324, 81, 4756, 26, 784, 711, 291, 1984, 280, 10156, 463, 35156, 32, 22324, 31, 4756, 683, 291, 3692, 280, 630, 1114, 6381, 8613, 37226, 26, 965, 30, 296, 1057, 36, 34, 683, 291, 7096, 5908, 2095, 710, 6381, 8613, 37226, 81, 314, 2188, 330, 36, 35, 683, 291, 3692, 280, 630, 1114, 6381, 8613, 37226, 26, 965, 30, 296, 1057, 35, 34, 683, 291, 7096, 5908, 2095, 710, 6381, 8613, 37226, 81, 314, 2188, 330, 35, 35, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 7, 4, 6, 4, 3, 3, 5, 7, 7, 7, 7, 7, 11, 10, 11, 9, 10, 9, 10, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 10, 9, 10, 10, 10, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 10, 9, 10, 10, 10, 9, 11, 10, 12, 12, 7, 11, 11, 11, 11, 11, 11, 9, 11, 11, 4, 4, 7, 10, 9, 10, 10, 10, 9, 11, 10, 12, 12, 12, 12, 7, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 10, 9, 10, 10, 10, 9, 11, 10, 12, 12, 12, 12, 7, 4, 4, 7, 10, 9, 10, 10, 10, 9, 11, 10, 12, 12, 12, 12, 12, 12, 12, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 11, 11, 11, 4, 4, 7, 9, 8, 10, 10, 10, 10, 10, 10, 7, 9, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 11, 11, 11, 4, 4, 7, 9, 8, 10, 10, 10, 10, 10, 10, 7, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 2116, 505, 280, 330, 72, 36627, 546, 991, 83, 25, 203, 505, 770, 505, 280, 330, 22749, 675, 225, 36, 34, 35, 36, 25, 203, 505, 11794, 505, 280, 15584, 53, 27, 225, 36, 34, 35, 36, 30, 676, 36627, 546, 991, 83, 25, 203, 1070, 2678, 21031, 32, 9452, 1188, 22149, 619, 22149, 5792, 203, 465, 2322, 203, 465, 17787, 203, 465, 46032, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 30609, 1188, 1910, 2852, 2727, 203, 1070, 2678, 21031, 32, 1262, 1188, 308, 67, 21031, 30, 5556, 1910, 5360, 2727, 30, 5556, 1910, 5360, 11415, 10448, 30, 5556, 1910, 5360, 11415, 4228, 10332, 10448, 30, 5556, 1910, 5360, 1175, 1335, 5556, 829, 203, 1070, 8202, 32, 1262, 32, 11415, 1063, 1188, 22403, 1063, 203, 1070, 8202, 32, 4280, 32, 2946, 1188, 13947, 30, 1256, 5637, 203, 8121, 5378, 280, 5436, 346, 203, 6576, 7146, 81, 19856, 69, 280, 313, 6576, 7146, 81, 19856, 69, 20, 203, 589, 1244, 18523, 5637, 2262, 284, 4844, 280, 596, 26, 500, 32, 983, 32, 2524, 26, 496, 5637, 1026, 313, 8121, 2131, 284, 13947, 26, 6175, 27, 284, 442, 2322, 32, 983, 32, 21379, 26, 6175, 27, 203, 589, 10105, 27811, 2262, 284, 4844, 280, 22403, 1063, 32, 371, 7085, 26, 6576, 7146, 81, 19856, 69, 27, 284, 415, 4844, 438, 646, 1665, 44, 291, 442, 4844, 32, 2998, 45321, 657, 284, 813, 44, 291, 442, 428, 1536, 18523, 5637, 7662, 203, 589, 2454, 10448, 26, 37201, 30, 18048, 711, 284, 3649, 10105, 5378, 284, 1596, 44, 291, 1374, 280, 46032, 32, 1040, 32, 2285, 81, 1070, 81, 761, 81, 2645, 26, 37201, 30, 18048, 27, 291, 2297, 280, 46032, 32, 1040, 32, 1647, 81, 1070, 81, 2285, 26, 2285, 27, 291, 1374, 32, 4554, 32, 2493, 81, 1647, 26, 1647, 27, 291, 1596, 44, 324, 22149, 280, 22149, 5792, 32, 12182, 32, 3235, 922, 1297, 1810, 346, 324, 10105, 5378, 77, 19011, 32, 426, 7662, 280, 18048, 324, 442, 22149, 291, 2940, 44121, 44, 324, 436, 816, 328, 4921, 26, 1647, 711, 400, 2830, 280, 18623, 26, 1647, 30, 816, 27, 400, 415, 17787, 32, 297, 823, 26, 2067, 27, 461, 438, 39288, 26, 2067, 30, 308, 67, 5360, 11415, 10448, 30, 1910, 5360, 11415, 4228, 10332, 10448, 490, 461, 2830, 3667, 426, 505, 646, 328, 2884, 67, 5360, 11415, 10448, 392, 313, 67, 5360, 11415, 4228, 10332, 10448, 10280, 528, 337, 280, 2830, 346, 528, 10105, 5378, 77, 97, 32, 426, 7662, 280, 18048, 528, 442, 337, 284, 2940, 308, 4196, 924, 30, 29316, 30, 12678, 27, 619, 484, 44, 291, 1910, 5360, 1175, 1335, 32, 751, 1175, 26, 67, 2852, 2727, 32, 7393, 440, 3206, 2755, 392, 313, 9752, 646, 1188, 3261, 8218, 30267, 645, 17246, 10255, 96, 2537, 1895, 1643, 26, 37201, 30, 18048, 30, 596, 26, 87, 3662, 768, 1910, 2852, 2727, 32, 7393, 440, 3206, 2755, 392, 313, 11415, 2113, 768, 1910, 21031, 32, 22736, 27, 203, 589, 2290, 10448, 2028, 26, 426, 711, 284, 3649, 10105, 5378, 284, 1596, 44, 291, 442, 10105, 5378, 77, 426 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 0, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 10, 9, 10, 8, 9, 8, 10, 10, 10, 8, 10, 10, 2, 2, 5, 6, 5, 2, 2, 3, 6, 7, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 1, 1, 4, 4, 7, 6, 7, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 5, 7, 8, 7, 9, 3, 3, 4, 4, 4, 6, 9, 9, 9, 9, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 2, 2, 3, 3, 3, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 5, 5, 5, 8, 8, 14, 13, 14, 12, 13, 12, 11, 11, 10, 6, 6, 10, 9, 12, 11, 12, 11, 8, 8, 6, 6, 7, 5, 5, 6, 6, 6, 6, 8, 8, 8, 10, 11, 10, 8, 8, 11, 11, 13, 14, 13, 13, 13, 9, 9, 10, 14, 15, 15, 14, 15, 14, 12, 12, 14, 14, 15, 14, 14, 16, 16, 16, 16, 15, 15, 16, 16, 16, 16, 16, 15, 11, 11, 13, 14, 14, 12, 12, 12, 15, 15, 15, 15, 15, 13, 15, 15, 15, 15, 15, 15, 15, 10, 10, 13, 13, 15, 11, 11, 15, 14, 17, 16, 17, 16, 13, 13, 11, 11, 12, 3, 3, 4, 7, 7, 6, 6, 6, 6, 6, 5, 5, 4, 4, 4, 9, 9, 9, 8, 9, 9, 8, 13, 13, 13, 12, 13, 12, 14, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 14, 14, 11, 10, 11, 10, 10, 10, 10, 12, 13, 12, 8, 8, 11, 11, 10, 11, 10, 12, 12, 12, 10, 12, 12, 8, 8, 10, 9, 10, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 2, 2, 3, 3, 3, 5, 7, 6, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 0, 1, 2, 3, 3, 3, 3, 2, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 1, 2, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 9, 9, 1, 2, 1, 4, 4, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 1, 2, 13, 13, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 4, 4, 2, 0, 2, 0, 2, 1, 1, 1, 0, 14, 14, 1, 2, 14, 14, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 0, 15, 15, 1, 2, 1, 2, 2, 2, 15, 15, 0, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 3, 3, 3, 3, 3, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 3, 3, 2, 1, 1, 3, 1, 1, 0, 0, 0, 0, 0, 1, 1, 3, 3, 3, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 5, 2, 1, 0, 16, 16, 1, 1, 2, 1, 2, 16, 16, 0, 1, 4, 4, 1, 1, 1, 0, 0, 1, 2 ]
[ 1070, 2322, 1188, 1519, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 2156, 3034, 81, 7854, 32, 858, 1188, 18564, 619, 894, 203, 823, 3081, 1969, 4470, 26, 858, 32, 7233, 711, 284, 19990, 280, 330, 26878, 81, 7854, 32, 858, 32, 731, 81, 5646, 81, 11400, 25, 284, 665, 894, 81, 39, 34, 34, 81, 731, 26, 784, 711, 291, 623, 630, 32, 3550, 26, 400, 394, 18693, 42793, 6020, 109, 528, 330, 31254, 950, 428, 983, 32, 2524, 26, 3550, 32, 7789, 81, 4065, 30, 330, 8881, 36977, 528, 330, 36190, 950, 2726, 11025, 32, 2387, 32, 11514, 32, 11025, 4564, 1378, 330, 36115, 15565, 683, 400, 16847, 400, 32252, 81, 2413, 14594, 47, 784, 32, 11400, 711, 324, 1789, 280, 630, 32, 1580, 32, 371, 3247, 39, 34, 34, 25844, 324, 630, 32, 33966, 26, 84, 25, 2059, 1048, 370, 1789, 32, 1286, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 9, 9, 11, 11, 10, 12, 12, 12, 15, 15, 13, 17, 16, 17, 16, 18, 17, 18, 18, 18, 16, 16, 18, 18, 12, 12, 15, 15, 13, 17, 17, 17, 17, 17, 17, 17, 17, 15, 15, 17, 17, 17, 12, 12, 9, 9, 11, 11, 11, 10, 12, 11, 12, 9, 5, 5, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 9, 10, 11, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 3, 3, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 3, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 1, 1, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15798, 203, 1070, 10381, 93, 39583, 32, 4882, 4676, 1188, 624, 31678, 39583, 7233, 203, 1070, 10381, 93, 39583, 32, 4373, 1188, 1505, 81, 2895, 81, 2888, 30, 4450, 81, 2895, 81, 2888, 30, 766, 275, 10061, 81, 2524, 30, 10284, 93, 1479, 36, 81, 6949, 30, 10061, 81, 466, 81, 4923, 203, 823, 7337, 7233, 26, 73, 31678, 39583, 7233, 711, 284, 665, 894, 81, 4770, 81, 466, 81, 4923, 26, 784, 711, 291, 1201, 10061, 81, 466, 81, 4923, 463, 83, 370, 330, 83, 683, 438, 2933, 291, 1201, 10061, 81, 466, 81, 4923, 26, 84, 25, 83, 370, 1044, 25, 83, 683, 438, 2933, 291, 1201, 10061, 81, 466, 81, 4923, 463, 83, 370, 330, 84, 683, 438, 3177, 291, 1201, 10061, 81, 466, 81, 4923, 26, 84, 25, 16646, 370, 330, 2321, 683, 438, 3177, 291, 1201, 10061, 81, 466, 81, 4923, 26, 84, 25, 16646, 370, 330, 24339, 683, 438, 3177, 291, 1201, 10061, 81, 466, 81, 4923, 26, 84, 25, 16646, 370, 1044, 25, 16646, 683, 438, 2933, 284, 665, 894, 81, 2895, 81, 2888, 299, 26, 784, 711, 291, 3677, 34, 280, 4450, 81, 2895, 81, 2888, 463, 1536, 683, 291, 1201, 1505, 81, 2895, 81, 2888, 26, 2888, 34, 30, 330, 1536, 683, 291, 1201, 3677, 34, 32, 15990, 463, 4365, 93, 1479, 36, 44, 5567, 35, 44, 35, 34, 34, 34, 22, 683, 291, 3677, 35, 280, 4450, 81, 2895, 81, 2888, 463, 1536, 370, 330, 5567, 35, 683, 291, 3677, 36, 280, 4450, 81, 2895, 81, 2888, 26, 103, 5438, 2312, 740, 370, 1411, 1057, 5567, 35, 683, 291, 1201, 3677, 35, 863, 3677, 36, 291, 1201, 1505, 81, 2895, 81, 2888, 26, 2888, 35, 30, 330, 1536, 683, 291, 1201, 1505, 81, 2895, 81, 2888, 26, 2888, 36, 30, 330, 1536, 683, 291, 1201, 3677, 35, 32, 15990, 463, 5567, 35, 22, 683, 291, 1201, 3677, 36, 32, 15990, 463, 5567, 35, 22, 683, 291, 11152, 2888, 280, 4450, 81, 2895, 81, 2888, 463, 1536, 370, 1411, 1057, 7355, 683, 291, 1201, 11152, 2888, 610, 330, 7355, 6464, 1536, 25, 291, 1201, 1505, 81, 2895, 81, 2888, 26, 9539, 2888, 30, 330, 1536, 683, 291, 345, 2888, 280, 4450, 81, 2895, 81, 2888, 26, 103, 5438, 2312, 740, 370, 1411, 1057, 954, 39, 683, 291, 1201, 345, 2888, 32, 15990, 463, 954, 39, 22, 683, 291, 1201, 1505, 81, 2895, 81, 2888, 26, 95, 2888, 30, 330, 1536, 683, 291, 20239, 280, 330, 954, 39, 6464, 85, 36, 35, 88, 43, 40, 43, 84, 39, 88, 34, 37, 86, 37, 37, 86, 38, 37, 87, 34, 38, 88, 42, 88, 35, 37, 40, 87, 41, 40, 42, 36, 25, 291, 1201, 1505, 81, 2895, 81, 2888, 26, 18244, 30, 330, 1536, 683, 291, 20239, 280, 1044, 3464, 86, 39, 6464, 85, 36, 35, 88, 43, 40, 43, 84, 39, 88, 34, 37, 86, 37, 37, 86, 38, 37, 87, 34, 38, 88, 42, 88, 35, 37, 40, 87, 41, 40, 42, 36, 25, 291, 1201, 1505, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 10, 10, 8, 10, 10, 6, 6, 4, 4, 5, 8, 8, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 6, 6, 4, 4, 5, 8, 8, 8, 8, 8, 10, 10, 8, 10, 10, 6, 6, 4, 4, 5, 8, 8, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 6, 6, 4, 4, 5, 8, 8, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 6, 6, 4, 4, 5, 8, 8, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 8, 8, 8, 8, 10, 10, 4, 4, 5, 7, 7, 7, 7, 7, 8, 8, 7, 7, 9, 9, 4, 4, 5, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 10, 10, 8, 10, 10, 10, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 8, 9, 11, 11, 11, 4, 4, 5, 7, 6, 6, 7, 4, 4, 5, 7, 7, 7, 7, 7, 8, 8, 7, 7, 9, 9, 4, 4, 5, 7, 7, 7, 7, 7, 8, 8, 7, 7, 9, 9, 4, 4, 5, 8, 7, 8, 7, 9, 9, 9, 9, 4, 4, 5, 8, 7, 8, 7, 9, 9, 9, 9, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 10, 10, 8, 9, 11, 11, 4, 4, 5, 7, 6, 6, 8, 8, 8, 8, 4, 4, 5, 7, 7, 7, 7, 7, 8, 8, 7, 7, 9, 9, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 8, 9, 11, 11, 11, 4, 4, 5, 8, 7, 8, 7, 9, 9, 9, 9, 4, 4, 5, 7, 7, 7, 7, 7, 8, 8, 7, 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, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7, 7, 7, 7, 7, 8, 7, 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, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 7, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 4, 4, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 3, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 4, 4, 5, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 3, 1, 1, 2, 4, 4, 5, 0, 1, 1, 2, 4, 4, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 8, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 9, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 2, 4, 4, 11, 0, 1, 1, 1, 1, 1, 2, 4, 4, 12, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 3, 1, 1, 2, 4, 4, 14, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 15, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 17, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 19, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 465, 11685, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 32, 15378, 1188, 281, 604, 81, 4873, 203, 1070, 18414, 32, 15378, 1188, 29988, 81, 4873, 203, 1070, 4377, 32370, 1188, 9286, 9074, 282, 2265, 30, 2266, 81, 1771, 282, 518, 203, 1070, 4377, 32370, 1188, 9286, 8770, 203, 1070, 4377, 2304, 1188, 1505, 81, 955, 203, 1070, 4377, 2304, 1188, 1505, 81, 23054, 81, 1322, 203, 1070, 4377, 2304, 1188, 2623, 81, 271, 81, 35, 86, 203, 1070, 4377, 2304, 32, 7740, 295, 386, 1188, 5799, 81, 5919, 203, 1070, 4377, 2304, 32, 7740, 295, 386, 1188, 827, 81, 1028, 81, 1977, 203, 1070, 4377, 2304, 32, 6460, 1188, 617, 1516, 81, 7088, 203, 1070, 4377, 2304, 32, 15378, 22495, 1188, 2385, 81, 38094, 203, 1070, 4377, 2304, 32, 29678, 1188, 7395, 998, 203, 1070, 4377, 11452, 1188, 36649, 9141, 5711, 203, 589, 617, 1553, 81, 12443, 26, 107, 81, 1508, 30, 533, 81, 8293, 711, 284, 1505, 81, 23054, 81, 1322, 26, 107, 81, 1508, 30, 533, 81, 8293, 27, 284, 827, 81, 1508, 280, 827, 81, 1028, 81, 1977, 26, 107, 81, 1508, 27, 284, 827, 81, 8293, 280, 827, 81, 1028, 81, 1977, 26, 107, 81, 8293, 27, 284, 533, 81, 681, 280, 739, 2009, 681, 81, 1508, 30, 827, 81, 8293, 1130, 284, 415, 533, 81, 681, 610, 739, 14141, 7003, 392, 313, 7740, 295, 386, 1446, 711, 291, 533, 81, 681, 280, 739, 14141, 7740, 295, 386, 6890, 284, 415, 2069, 26, 107, 81, 681, 27, 848, 225, 35, 44, 291, 3636, 10091, 440, 4445, 1330, 2887, 11631, 432, 301, 34, 111, 461, 301, 35, 3845, 656, 34873, 1643, 26, 681, 81, 1508, 30, 827, 81, 8293, 490, 284, 533, 81, 681, 280, 533, 81, 681, 32, 3235, 346, 284, 415, 308, 107, 81, 681, 646, 328, 3037, 7003, 392, 313, 7740, 295, 386, 392, 313, 7740, 335, 814, 31, 18354, 1446, 711, 291, 3636, 10091, 15062, 34, 111, 438, 646, 5420, 2296, 1643, 26, 107, 81, 681, 490, 284, 415, 533, 81, 681, 328, 3037, 7003, 392, 313, 7740, 295, 386, 18270, 291, 533, 81, 1508, 280, 2623, 81, 271, 81, 35, 86, 26, 107, 81, 1508, 27, 291, 533, 81, 8293, 280, 2623, 81, 271, 81, 35, 86, 26, 107, 81, 8293, 27, 284, 415, 533, 81, 681, 32, 15990, 463, 7740, 335, 814, 7831, 291, 533, 81, 1508, 280, 29988, 81, 4873, 26, 107, 81, 1508, 27, 291, 533, 81, 8293, 280, 29988, 81, 4873, 26, 107, 81, 8293, 27, 291, 533, 81, 681, 280, 330, 7740, 335, 814, 31, 18354, 25, 284, 442, 533, 81, 681, 30, 533, 81, 1508, 30, 533, 81, 8293, 203, 589, 617, 26485, 81, 1036, 26, 3287, 81, 5020, 30, 3964, 81, 3292, 30, 13316, 47, 2700, 711, 284, 415, 13316, 44, 291, 442, 2065, 32, 14298, 26, 3287, 81, 5020, 30, 11229, 47, 3287, 81, 3292, 27, 284, 4348, 3964, 81, 3292, 438, 646, 1665, 44, 291, 442, 2065, 32, 4260, 26, 3287, 81, 5020, 30, 3964, 81, 3292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 3, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 5, 5, 4, 4, 6, 9, 9, 7, 9, 9, 9, 9, 6, 3, 3, 7, 7, 6, 6, 8, 11, 11, 11, 11, 2, 2, 3, 6, 7, 7, 7, 6, 4, 4, 5, 3, 3, 3, 5, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 9, 10, 10, 10, 9, 9, 10, 10, 9, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 2, 2, 3, 6, 6, 6, 5, 5, 5, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 4, 3, 3, 5, 7, 11, 11, 11, 11, 11, 11, 10, 9, 10, 10, 10, 9, 2, 2, 3, 5, 5, 4, 4, 7, 7, 5, 7, 7, 7, 7, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 2, 2, 3, 6, 6, 5, 6, 5, 7, 7, 7, 7, 3, 3, 7, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 4, 2, 1, 1, 3, 3, 3, 3, 5, 7, 8, 7, 8, 8, 8, 7, 7, 8, 9, 9, 9, 7, 3, 3, 4, 6, 6, 5, 5, 5, 4, 4, 4, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 10, 10, 0, 1, 2, 2, 2, 10, 10, 0, 0, 0, 11, 11, 0, 1, 2, 2, 2, 11, 11, 0, 0, 0, 0, 0, 12, 12, 0, 1, 2, 12, 12, 0, 0, 0, 0, 13, 13, 0, 1, 2, 2, 13, 13, 0, 0, 0, 14, 14, 0, 1, 2, 14, 14, 0, 0, 15, 15, 0, 15, 15, 0, 0, 0, 16, 16, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 16, 16, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 7, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 7, 7, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 8, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 9, 0, 0, 0, 2, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 10, 0, 0, 1, 1, 2, 2, 1, 1, 4, 4, 0, 17, 17, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 17, 17, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 4, 0, 0, 1, 1, 1, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3 ]
[ 465, 45977, 30, 5237, 203, 4434, 280, 45977, 32, 3310, 81, 37, 36, 81, 4434, 203, 589, 9843, 26, 1131, 30, 3878, 1057, 5848, 7831, 284, 442, 45977, 32, 3310, 81, 37, 36, 81, 5460, 26, 1131, 30, 3878, 30, 2933, 27, 203, 823, 29494, 279, 8770, 26, 687, 1729, 32, 44571, 8770, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3878, 1057, 5848, 7831, 291, 45977, 32, 44571, 8770, 3667, 1664, 3207, 784, 30, 3878, 27, 291, 630, 32, 13023, 280, 1665, 284, 665, 9336, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 415, 630, 32, 13023, 438, 1665, 44, 324, 1056, 280, 45977, 32, 3310, 81, 37, 36, 81, 4434, 26, 1131, 30, 630, 32, 4275, 5594, 34, 79, 324, 415, 5237, 32, 2263, 1174, 610, 330, 31935, 950, 400, 630, 32, 13023, 280, 45977, 32, 3310, 81, 37, 36, 81, 274, 81, 4434, 324, 813, 44, 400, 630, 32, 13023, 280, 45977, 32, 3310, 81, 37, 36, 81, 864, 81, 4434, 324, 442, 1056, 291, 442, 630, 32, 13023, 26, 1131, 30, 630, 32, 4275, 5594, 34, 79, 284, 665, 5657, 26, 784, 711, 291, 45977, 32, 44571, 8770, 32, 4534, 26, 784, 27, 291, 630, 32, 13023, 280, 1665, 284, 665, 622, 1293, 26, 784, 711, 291, 442, 308, 36, 415, 630, 32, 13023, 438, 1665, 813, 225, 34, 27, 284, 665, 739, 1293, 26, 784, 30, 1603, 711, 291, 415, 1603, 44, 324, 630, 32, 13023, 280, 1665, 291, 813, 44, 324, 415, 5237, 32, 2263, 1174, 610, 330, 31935, 950, 400, 630, 32, 13023, 280, 45977, 32, 3310, 81, 37, 36, 81, 274, 81, 4434, 324, 813, 44, 400, 630, 32, 13023, 280, 45977, 32, 3310, 81, 37, 36, 81, 864, 81, 4434, 203, 823, 29494, 279, 11717, 26, 687, 1729, 32, 17652, 44571, 11717, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3878, 1057, 5848, 7831, 291, 45977, 32, 17652, 44571, 11717, 3667, 1664, 3207, 784, 30, 3878, 27, 291, 630, 32, 14858, 280, 1665, 284, 665, 617, 2668, 81, 5460, 26, 784, 30, 1509, 30, 3878, 30, 1158, 711, 291, 415, 630, 32, 14858, 438, 1665, 44, 324, 308, 2024, 30, 30647, 30, 3432, 1174, 27, 280, 766, 400, 45977, 32, 3310, 81, 37, 36, 81, 327, 81, 5460, 26, 1131, 30, 3878, 30, 225, 34, 30, 1158, 27, 324, 415, 3432, 1174, 610, 429, 35, 44, 400, 630, 32, 14858, 280, 45977, 32, 3310, 81, 37, 36, 81, 274, 81, 5460, 324, 4348, 3432, 1174, 610, 225, 35, 44, 400, 630, 32, 14858, 280, 45977, 32, 3310, 81, 37, 36, 81, 864, 81, 5460, 324, 4348, 30647, 2377, 225, 38, 44, 400, 3636, 23174, 924, 440, 6261, 31, 37, 36, 3443, 1957, 646, 1477, 623, 551, 5650, 657, 324, 442, 308, 2024, 30, 30647, 27, 291, 442, 630, 32, 14858, 26, 1131, 30, 630, 32, 4275, 30, 1158, 27, 284, 665, 5657, 26, 784, 711, 291, 45977, 32, 17652, 44571, 11717, 32, 4534, 26, 784, 27, 291, 630, 32, 14858, 280, 1665, 284, 665, 622, 1293, 26, 784, 711, 291, 1603 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 3, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 3, 2, 2, 3, 5, 5, 1, 1, 3, 5, 6, 6, 6, 6, 6, 6, 5, 6, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 3, 3, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 8, 8, 11, 12, 12, 12, 12, 12, 12, 11, 12, 11, 11, 12, 13, 11, 10, 9, 6, 6, 7, 9, 10, 10, 8, 8, 10, 10, 7, 7, 11, 12, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 8, 8, 8, 12, 13, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 4, 4, 5, 8, 9, 8, 9, 8, 8, 9, 10, 8, 7, 6, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 7, 7, 9, 10, 8, 8, 7, 7, 8, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 9, 10, 8, 8, 5, 5, 6, 6, 6, 8, 10, 11, 11, 9, 9, 11, 11, 8, 8, 12, 13, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 8, 8, 9, 9, 9, 13, 14, 12, 12, 13, 14, 14, 14, 14, 14, 14, 14, 14, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 10, 9, 9, 9, 9, 10, 9, 8, 8, 9, 8, 10, 11, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 10, 10, 10, 11, 10, 10, 10, 6, 6, 7, 9, 8, 8, 10, 7, 7, 7, 11, 12, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 8, 10, 9, 9, 10, 8, 8, 8, 12, 13, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 7, 7, 8, 9, 9, 10, 8, 8, 8, 10, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 6, 6, 7, 9, 8, 8, 8, 4, 4, 5, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 3, 3, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 3, 2, 1, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 4, 1, 4, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 4, 4, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 5, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 0, 1, 1, 2, 4, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 1, 1, 2, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 2, 1, 2, 3, 3 ]
[ 1070, 638, 5043, 1188, 1351, 2127, 203, 465, 5237, 203, 81, 424, 280, 5237, 32, 1648, 81, 1338, 203, 297, 81, 978, 36, 280, 4638, 424, 77, 34, 79, 610, 225, 36, 27, 203, 297, 81, 978, 37, 280, 4638, 424, 77, 34, 79, 610, 225, 37, 27, 203, 297, 81, 978, 37, 34, 280, 308, 297, 81, 978, 37, 461, 617, 424, 77, 35, 79, 610, 225, 34, 27, 203, 297, 81, 978, 37, 35, 280, 308, 297, 81, 978, 37, 461, 617, 424, 77, 35, 79, 610, 225, 35, 27, 203, 297, 81, 978, 37, 36, 280, 308, 297, 81, 978, 37, 461, 617, 424, 77, 35, 79, 610, 225, 36, 27, 203, 297, 81, 978, 37, 37, 280, 308, 297, 81, 978, 37, 461, 617, 424, 77, 35, 79, 610, 225, 37, 27, 203, 297, 81, 978, 37, 38, 280, 308, 297, 81, 978, 37, 461, 617, 424, 77, 35, 79, 610, 225, 38, 27, 203, 297, 81, 978, 36, 41, 280, 308, 297, 81, 978, 36, 461, 617, 424, 77, 35, 79, 610, 225, 41, 27, 203, 297, 81, 978, 36, 40, 280, 308, 297, 81, 978, 36, 461, 617, 424, 77, 35, 79, 610, 225, 40, 27, 203, 297, 81, 978, 36, 39, 280, 308, 297, 81, 978, 36, 461, 617, 424, 77, 35, 79, 610, 225, 39, 27, 203, 297, 81, 978, 36, 38, 280, 308, 297, 81, 978, 36, 461, 617, 424, 77, 35, 79, 610, 225, 38, 27, 264, 203, 81, 424, 280, 5237, 32, 1648, 32, 5729, 346, 203, 297, 81, 35172, 280, 2726, 35172, 25, 328, 617, 424, 27, 203, 297, 81, 92, 2375, 280, 2726, 92, 2375, 25, 328, 617, 424, 27, 203, 297, 81, 28303, 2958, 280, 2726, 28303, 25, 328, 617, 424, 27, 203, 297, 81, 85, 2958, 280, 646, 1346, 1162, 297, 81, 35172, 30, 438, 81, 92, 2375, 30, 438, 81, 28303, 2958, 490, 203, 297, 81, 5910, 280, 330, 4463, 37, 36, 25, 328, 596, 26, 3731, 32, 5134, 547, 5729, 346, 203, 297, 81, 4783, 280, 2726, 4783, 25, 328, 596, 26, 3731, 32, 5134, 547, 5729, 1157, 203, 297, 81, 22330, 280, 2726, 24917, 25, 328, 596, 26, 3731, 32, 5134, 547, 5729, 1157, 203, 297, 81, 11300, 1662, 280, 2726, 11300, 1662, 25, 328, 596, 26, 3731, 32, 5134, 547, 5729, 1157, 264, 203, 297, 81, 2594, 17209, 280, 2726, 35777, 10844, 328, 596, 26, 3731, 32, 5134, 547, 5729, 1157, 264, 203, 1270, 44, 284, 1188, 4281, 1260, 619, 2361, 203, 7343, 308, 4196, 924, 30, 14277, 924, 711, 284, 1188, 2361, 203, 325, 438, 81, 978, 36, 44, 284, 645, 22045, 1188, 15358, 30, 707, 7345, 30, 15358, 81, 5431, 30, 707, 7345, 81, 5431, 30, 1984, 4434, 30, 622, 46466, 30, 7664, 81, 48839, 284, 645, 1984, 2208, 1188, 1984, 2208, 30, 1984, 311, 2208, 30, 1984, 2524, 30, 1984, 2998, 30, 1984, 589, 2453, 284, 645, 22045, 36, 1188, 3185, 81, 525, 81, 668, 284, 1188, 23682, 673, 930, 284, 645, 28411, 1188, 29325, 6171, 284, 645, 44524, 1188 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 4, 1, 1, 3, 0, 1, 1, 0, 3, 3, 2, 2, 3, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 6, 5, 6, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 6, 5, 6, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 6, 5, 5, 6, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 6, 5, 5, 6, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 6, 5, 5, 6, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 6, 5, 5, 6, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 6, 5, 5, 6, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 6, 5, 5, 6, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 6, 5, 5, 6, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 6, 5, 5, 6, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 6, 5, 5, 6, 3, 0, 0, 3, 3, 2, 2, 5, 6, 4, 5, 4, 0, 3, 3, 3, 2, 2, 6, 6, 4, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 4, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 6, 6, 4, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 3, 5, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 3, 7, 9, 8, 9, 7, 6, 5, 0, 3, 3, 3, 2, 2, 6, 6, 4, 4, 8, 10, 9, 10, 8, 7, 6, 0, 3, 3, 3, 2, 2, 6, 6, 4, 4, 8, 10, 9, 10, 8, 7, 6, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 4, 4, 8, 10, 9, 10, 8, 7, 6, 0, 0, 3, 3, 3, 3, 2, 2, 6, 6, 4, 4, 8, 10, 9, 10, 8, 7, 6, 0, 0, 1, 1, 1, 1, 3, 6, 4, 4, 1, 2, 2, 4, 4, 3, 3, 4, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 5, 2, 2, 3, 5, 3, 3, 5, 3, 3, 5, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 5, 2, 2, 3, 5, 3, 3, 5, 5, 5, 5, 2, 2, 3, 5, 5, 2, 2, 3, 3, 3, 5, 2, 2, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 24, 24, 24, 24, 0, 0, 1, 1, 24, 3, 3, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 25, 25, 1, 1, 1, 25, 25, 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, 3, 3, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 3, 3, 2, 0, 2, 2, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 4, 4, 4, 0, 3, 3, 5, 5 ]
[ 465, 2322, 203, 589, 2866, 81, 1363, 26, 88, 30, 636, 30, 3946, 30, 5489, 711, 334, 415, 646, 3946, 44, 284, 442, 334, 3946, 81, 452, 81, 1821, 280, 1149, 26, 3028, 27, 334, 415, 5489, 44, 284, 3946, 81, 452, 81, 1821, 32, 3215, 26, 34, 30, 6611, 101, 474, 1057, 904, 636, 27, 334, 813, 44, 284, 3946, 81, 452, 81, 1821, 32, 3215, 26, 34, 30, 6611, 101, 1025, 25, 904, 636, 27, 334, 296, 32, 1821, 463, 766, 1736, 96, 78, 102, 2473, 2524, 26, 3028, 81, 452, 81, 1821, 490, 334, 296, 32, 1821, 9442, 96, 78, 96, 683, 203, 589, 2866, 81, 1696, 81, 6862, 26, 88, 30, 773, 81, 2665, 30, 5489, 30, 636, 711, 334, 436, 1202, 328, 773, 81, 2665, 32, 3494, 2262, 284, 617, 678, 280, 1202, 284, 617, 3028, 280, 773, 81, 2665, 77, 678, 79, 284, 415, 1202, 610, 330, 11144, 81, 20766, 950, 397, 617, 1689, 280, 2933, 284, 4348, 1202, 610, 330, 13078, 940, 950, 397, 617, 1689, 280, 2933, 397, 617, 678, 280, 330, 11144, 81, 20766, 25, 397, 617, 3028, 81, 1793, 81, 54, 280, 1605, 397, 436, 5597, 328, 617, 3028, 44, 291, 617, 3028, 81, 1793, 81, 54, 32, 1689, 12605, 54, 25, 474, 5597, 27, 397, 617, 3028, 280, 617, 3028, 81, 1793, 81, 54, 284, 4348, 1202, 610, 330, 12116, 81, 9682, 69, 950, 397, 4036, 284, 813, 44, 397, 617, 1689, 280, 5489, 284, 415, 636, 44, 397, 617, 678, 1454, 27491, 474, 636, 284, 2866, 81, 1363, 26, 88, 30, 617, 678, 30, 617, 3028, 30, 617, 1689, 27, 203, 13236, 7143, 81, 10431, 280, 308, 203, 2993, 203, 39354, 203, 21, 203, 21, 8964, 10960, 2756, 9832, 36328, 6936, 570, 16821, 81, 1407, 81, 27532, 32, 5177, 32, 4085, 2370, 18812, 32, 203, 21, 203, 21, 2616, 16800, 30, 4322, 7260, 2197, 19998, 1704, 50, 2175, 32, 508, 556, 343, 754, 362, 1657, 50, 2175, 32, 508, 203, 21, 203, 39354, 203, 2993, 203, 27, 203, 2897, 32384, 81, 31528, 280, 308, 203, 2993, 203, 39354, 203, 21, 203, 21, 4158, 14507, 2739, 8848, 17227, 7849, 9399, 32384, 10397, 9628, 8964, 1179, 203, 21, 203, 21, 886, 4588, 1968, 3276, 328, 3404, 372, 322, 6908, 905, 4826, 32, 1348, 6058, 688, 5521, 203, 21, 1471, 5034, 1990, 905, 2298, 2329, 526, 6895, 623, 322, 4588, 1503, 432, 322, 6908, 905, 4826, 32, 203, 21, 5802, 884, 312, 7002, 21646, 2154, 458, 12767, 1991, 4654, 44, 203, 21, 203, 21, 308, 35, 27, 2448, 4484, 9038, 4588, 1340, 688, 12428, 544, 5034, 1990, 905, 32, 203, 21, 261, 308, 83, 27, 1670, 5034, 1990, 905, 438, 6895, 328, 3621, 30, 1615, 5597, 17227, 81, 15314, 1412, 9038, 203, 21, 958, 1370, 10849, 32, 203, 21, 261, 308, 84, 27, 1670, 5034, 1990, 905, 438, 6895, 623, 15066, 308, 2970, 3111, 225, 36, 471, 1615, 1289, 3404, 884, 203, 21, 958, 5349, 4558, 1370, 10849, 461, 5034, 1990, 905, 1159, 2583, 6895, 623, 17227, 81, 2897, 32, 203, 21, 308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 3, 8, 8, 8, 8, 7, 8, 7, 8, 7, 7, 10, 10, 10, 8, 8, 7, 3, 3, 4, 4, 4, 9, 9, 9, 9, 8, 9, 8, 9, 8, 8, 11, 11, 11, 9, 9, 8, 2, 2, 5, 6, 5, 9, 10, 10, 10, 10, 9, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 5, 6, 5, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 6, 6, 5, 6, 5, 3, 3, 7, 6, 6, 4, 4, 7, 6, 6, 8, 8, 7, 8, 7, 4, 4, 5, 6, 6, 8, 8, 8, 8, 5, 5, 9, 8, 8, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 9, 9, 7, 7, 10, 9, 9, 11, 11, 11, 11, 7, 7, 10, 10, 10, 10, 10, 9, 9, 7, 7, 8, 8, 8, 9, 8, 8, 8, 13, 13, 13, 13, 13, 12, 13, 12, 15, 15, 13, 13, 12, 7, 7, 10, 9, 9, 10, 10, 10, 10, 10, 5, 5, 6, 7, 7, 9, 9, 9, 9, 9, 6, 6, 5, 5, 6, 6, 6, 10, 9, 9, 4, 4, 5, 5, 5, 5, 9, 8, 8, 9, 9, 4, 4, 7, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 0, 3, 3, 3, 3, 2, 2, 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, 3, 3, 0, 3, 3, 3, 3, 2, 2, 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 ]
[ 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 3, 3, 0, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 2, 2, 6, 6, 6, 0, 0, 0, 5, 5, 3, 3, 3, 3, 0, 0, 0, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 5237, 203, 465, 15798, 203, 1070, 5605, 81, 8121, 32, 4882, 1188, 9128, 3206, 7233, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 2957, 32, 11400, 1188, 2305, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 30, 4328, 34747, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 308, 284, 3139, 17696, 3665, 30, 18044, 2413, 5516, 30, 18044, 2413, 7256, 30, 30281, 38, 34, 38, 30, 284, 30281, 3665, 30, 622, 81, 27325, 30, 622, 81, 15678, 30, 5889, 30, 10156, 30, 10156, 81, 10629, 30, 203, 27, 203, 1070, 8527, 32, 525, 1188, 308, 284, 26303, 30, 17874, 40748, 11445, 30, 17874, 11445, 30, 203, 27, 203, 1070, 8527, 32, 36287, 1188, 5668, 203, 1070, 8527, 32, 858, 1188, 308, 284, 7155, 7233, 30, 19205, 30, 5079, 81, 19991, 30, 2684, 81, 3550, 30, 203, 27, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 2684, 81, 1423, 81, 4254, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 32, 44136, 1188, 26396, 383, 36115, 36, 34, 5711, 203, 1070, 638, 1188, 12654, 30, 1984, 2957, 81, 11925, 30, 11875, 203, 1070, 638, 4338, 1188, 3502, 81, 1071, 203, 5284, 81, 858, 81, 605, 280, 308, 284, 2726, 33, 4382, 33, 38, 36, 33, 37, 41, 13093, 330, 4382, 31, 1071, 370, 1665, 30, 2550, 330, 4382, 31, 1071, 370, 11875, 32, 2951, 81, 1071, 30, 8825, 1026, 5053, 626, 35, 950, 330, 38, 36, 370, 330, 626, 36, 950, 330, 37, 41, 45306, 284, 2726, 33, 1071, 81, 823, 33, 38, 36, 33, 37, 41, 13093, 330, 1071, 31, 823, 370, 1665, 30, 2550, 330, 1071, 31, 823, 370, 11875, 32, 1071, 81, 823, 81, 2386, 30, 8825, 1026, 5053, 626, 35, 950, 330, 38, 36, 370, 330, 626, 36, 950, 330, 37, 41, 45306, 284, 2726, 33, 29529, 33, 4382, 33, 38, 36, 33, 37, 41, 13093, 330, 3563, 31, 4382, 31, 1071, 370, 1665, 30, 2550, 330, 3563, 31, 4382, 31, 1071, 370, 11875, 32, 2951, 81, 1071, 30, 8825, 1026, 5053, 626, 35, 950, 330, 38, 36, 370, 330, 626, 36, 950, 330, 37, 41, 45306, 284, 2726, 33, 29529, 33, 1071, 81, 823, 33, 38, 36, 33, 37, 41, 13093, 330, 3563, 31, 1071, 31, 823, 370, 1665, 30, 2550, 330, 3563, 31, 1071, 31, 823, 370, 11875, 32, 1071, 81, 823, 81, 2386, 30, 8825, 1026, 5053, 626, 35, 950, 330, 38, 36, 370, 330, 626, 36, 950, 330, 37, 41, 45306, 284, 2726, 33, 20810, 81, 1132, 33, 38, 36, 33, 37, 41, 13093, 330, 20810, 31, 1132, 370, 1665, 30, 2550, 330, 20810, 31, 1132, 370, 11875, 32, 2951, 81, 1071, 30, 8825, 1026, 5053, 626, 36, 950, 330, 37, 41, 45306, 284, 2726, 33, 29529, 33, 20810, 81, 1132, 33, 38, 36, 33, 37, 41, 13093, 330, 3563, 31, 20810, 31, 1132, 370, 1665, 30, 2550, 330, 3563, 31, 20810, 31 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 4, 5, 6, 6, 6, 4, 4, 6, 4, 8, 8, 8, 6, 8, 8, 8, 5, 8, 8, 8, 6, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 6, 4, 4, 6, 4, 8, 8, 8, 6, 8, 8, 8, 5, 8, 8, 8, 6, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 4, 4, 6, 4, 8, 8, 8, 6, 8, 8, 8, 5, 8, 8, 8, 6, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 6, 4, 4, 6, 4, 8, 8, 8, 6, 8, 8, 8, 5, 8, 8, 8, 6, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 4, 5, 6, 6, 6, 4, 4, 6, 4, 8, 8, 8, 6, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 4, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 9, 9, 1, 2, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 10, 10, 1, 2, 10, 10, 0, 11, 11, 1, 2, 11, 11, 11, 11, 0, 11, 11, 11, 11, 0, 0, 11, 11, 0, 0, 11, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 0, 0, 13, 13, 1, 2, 13, 13, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 0, 0, 0, 15, 15, 15, 15, 15, 15, 0, 0, 0, 15, 15, 0, 16, 16, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 11, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 15, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 2, 3, 11, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 1, 2, 1, 1, 1, 2, 15, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 5, 5, 5, 5, 1, 1, 1, 1, 1, 2, 5, 11, 2, 2, 2, 5, 5, 1, 5, 1, 1, 2, 1, 1, 1, 2, 15, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 2, 7, 7, 7, 7, 1, 1, 1, 1, 1, 2, 7, 11, 2, 2, 2, 2, 2, 7, 7, 1, 7, 1, 1, 2, 1, 1, 1, 2, 15, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 2, 9, 9, 9, 9, 1, 1, 1, 2, 9, 11, 2, 2, 2, 9, 9, 1, 9, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 1, 2, 11, 11, 11, 11, 1, 1, 1, 1 ]
[ 1070, 12870, 1040, 1188, 622, 81, 605, 203, 1070, 14465, 1188, 2454, 619, 2454, 81, 6045, 203, 823, 9923, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 706, 280, 622, 81, 605, 463, 605, 370, 330, 3550, 32, 6045, 683, 291, 706, 280, 2454, 81, 6045, 26, 605, 27, 291, 4070, 81, 605, 280, 706, 32, 3235, 463, 3550, 370, 12797, 291, 436, 31742, 328, 4070, 81, 605, 44, 324, 39506, 26, 784, 30, 31742, 30, 4070, 81, 605, 77, 23918, 1130, 291, 436, 1202, 328, 10306, 44, 324, 39506, 26, 784, 30, 1202, 30, 10306, 77, 678, 1130, 284, 665, 1974, 26, 784, 30, 1202, 30, 786, 711, 291, 39506, 26, 784, 30, 1202, 30, 786, 27, 203, 589, 17078, 81, 3550, 2262, 284, 3649, 4070, 284, 4070, 280, 9923, 346, 203, 3550, 280, 9923, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 6, 6, 8, 8, 8, 10, 10, 8, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 8, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 9, 10, 9, 9, 9, 9, 11, 11, 10, 11, 10, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 9, 9, 9, 9, 10, 11, 10, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 1, 1, 3, 2, 2, 4, 4, 6, 0, 3, 2, 2, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 5, 2, 5, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 1, 1, 2, 3, 3, 0, 4, 4, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 281, 3925, 203, 1070, 7138, 1188, 7138, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 3089, 749, 98, 32, 4280, 1188, 4040, 81, 8094, 81, 31141, 81, 9302, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 823, 281, 3925, 81, 5452, 1851, 26, 500, 104, 32, 500, 104, 711, 284, 617, 426, 280, 313, 33109, 32, 5452, 1851, 20, 284, 617, 2310, 280, 313, 7457, 1851, 20, 284, 617, 1174, 280, 313, 314, 5585, 20, 284, 617, 6815, 280, 2107, 2200, 32, 3426, 785, 284, 617, 6057, 280, 301, 291, 330, 770, 81, 1141, 81, 2135, 950, 3829, 32, 6665, 463, 3267, 5245, 370, 4283, 47, 35, 471, 291, 330, 770, 81, 1141, 81, 1978, 950, 3829, 32, 6665, 463, 3353, 5245, 370, 4283, 47, 35, 471, 291, 330, 1297, 81, 770, 950, 3829, 32, 6665, 463, 12608, 2821, 25, 1717, 4283, 47, 1815, 471, 291, 330, 1906, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 33109, 32, 1732, 32, 1906, 370, 330, 14837, 12641, 370, 766, 715, 2192, 47, 1815, 30, 3049, 1057, 14837, 6498, 372, 1510, 12020, 17732, 372, 41365, 291, 330, 496, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 575, 32, 3707, 370, 330, 39071, 1478, 1425, 291, 330, 15699, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 575, 32, 15699, 370, 330, 5870, 1425, 291, 330, 6604, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 575, 32, 6604, 370, 330, 12309, 1425, 291, 330, 2310, 950, 3829, 32, 878, 463, 3234, 1425, 291, 330, 1293, 950, 3829, 32, 8319, 26, 324, 41449, 1676, 370, 330, 31581, 1425, 1802, 2726, 8151, 370, 330, 23114, 1425, 1802, 2726, 9671, 370, 330, 10708, 1425, 1802, 2726, 5087, 370, 330, 2119, 86, 683, 1802, 2505, 802, 1057, 1533, 370, 4283, 47, 1815, 30, 4562, 81, 13488, 1057, 267, 2342, 370, 324, 3049, 1057, 1318, 2287, 438, 739, 372, 13657, 12387, 30, 1412, 312, 1135, 438, 3272, 5327, 96, 25, 353, 330, 5786, 322, 1476, 438, 2288, 30, 322, 2287, 438, 739, 372, 4010, 86, 5327, 96, 25, 353, 330, 2797, 322, 1476, 297, 646, 4556, 18380, 30, 322, 2287, 883, 526, 739, 372, 21319, 1231, 41365, 291, 330, 1935, 81, 1070, 950, 3829, 32, 1594, 463, 4477, 370, 1334, 47, 35, 36, 42, 30, 3049, 347, 16848, 7024, 1098, 7768, 4096, 26551, 291, 330, 770, 81, 1676, 950, 3829, 32, 6665, 463, 23108, 370, 4283, 47, 1815, 471, 291, 330, 426, 950, 3829, 32, 1594, 463, 1853, 15591, 370, 2129, 47, 1815, 471, 291, 330, 2480, 950, 3829, 32, 4398, 463, 4077, 370, 2129, 47, 2700, 471, 291, 330, 6932, 950, 3829, 32, 1808, 463, 6196, 370, 3049, 1057, 6196, 328, 10135, 461, 6791, 41365, 291, 330, 85, 1321, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 33109, 32, 1732, 32, 85, 1321, 370, 330, 4220, 370, 766, 715, 5880, 347, 710, 18194, 463, 1906, 81, 314, 1195, 12483, 1906, 81, 314, 471, 463, 1906, 81, 314, 1195, 12483, 2700, 471, 78, 715, 2726 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 8, 9, 8, 9, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 5, 5, 8, 8, 6, 8, 9, 8, 8, 8, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 9, 9, 8, 9, 11, 11, 8, 9, 10, 8, 8, 10, 10, 9, 11, 11, 11, 8, 8, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 8, 9, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 8, 9, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 8, 9, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 11 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 1, 1, 2, 1, 1, 3, 2, 1, 2, 2, 1, 1, 1, 2, 7, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 6, 2, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 9, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 11, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 15, 0, 2, 1, 1, 2, 2, 2, 1, 2, 17, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 5, 1, 2, 1, 1, 1, 2, 7, 1, 1, 2, 1, 1, 1, 3, 1, 2, 1, 5, 2, 1, 1, 0, 0, 7, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 19, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 21, 0, 2, 1, 1, 2, 1, 3, 2, 1, 2, 2, 1, 2, 23, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 1, 2, 25, 0, 2, 1, 1, 2, 1, 3, 2, 1, 2, 2, 1, 2, 27, 0, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 29, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1 ]
[ 465, 5741, 203, 1070, 10635, 833, 81, 6285, 1188, 13489, 203, 1070, 10635, 833, 81, 6285, 32, 15934, 1188, 47165, 30, 9334, 500, 30, 33186, 7281, 30, 309, 539, 30, 5387, 8338, 30, 540, 2542, 203, 1070, 10635, 833, 81, 6285, 32, 3841, 1188, 622, 81, 3841, 203, 4073, 280, 5741, 32, 10579, 346, 203, 589, 622, 26, 12256, 30, 291, 952, 47, 2521, 30, 291, 17163, 47, 2521, 30, 291, 11140, 81, 9860, 47, 1815, 30, 291, 793, 81, 17089, 42928, 47, 2700, 711, 284, 4567, 280, 622, 81, 3841, 26, 291, 15871, 30, 291, 952, 47, 699, 30, 291, 4082, 47, 7490, 32, 10579, 26, 12256, 471, 291, 11140, 81, 9860, 47, 14268, 81, 9860, 284, 829, 284, 1596, 44, 291, 4567, 32, 465, 81, 1647, 26, 3546, 8338, 27, 284, 2940, 45338, 619, 1048, 44, 291, 415, 330, 22456, 8777, 25, 328, 18623, 26, 731, 30, 330, 1436, 370, 330, 7831, 324, 3636, 26405, 463, 7001, 3387, 5424, 8777, 30, 7279, 4102, 1981, 8364, 572, 438, 6869, 436, 904, 101, 25, 904, 15871, 27, 284, 1673, 290, 81, 426, 30, 3621, 30, 7053, 2004, 280, 4567, 32, 7001, 81, 1647, 32, 5134, 81, 11722, 346, 284, 415, 646, 7053, 2004, 556, 646, 617, 371, 81, 2452, 290, 26, 2452, 290, 81, 426, 711, 291, 3636, 13489, 32, 16746, 6841, 26, 324, 1673, 290, 47, 2452, 290, 81, 426, 30, 324, 7053, 2004, 47, 10762, 2004, 30, 324, 3621, 47, 3779, 27, 284, 6652, 81, 681, 280, 4567, 32, 7001, 81, 1647, 32, 8676, 81, 681, 346, 284, 2297, 280, 617, 371, 81, 2452, 290, 26, 2452, 290, 81, 426, 30, 793, 81, 17089, 42928, 47, 539, 81, 17089, 42928, 27, 284, 2297, 32, 426, 280, 1673, 290, 81, 426, 284, 2297, 32, 20030, 81, 426, 280, 617, 20030, 81, 2452, 290, 81, 426, 26, 2452, 290, 81, 426, 27, 284, 2297, 32, 20030, 81, 3779, 280, 617, 20030, 81, 3779, 26, 3779, 27, 284, 2297, 32, 2452, 290, 280, 2297, 32, 20030, 81, 426, 284, 2297, 32, 297, 81, 342, 280, 2297, 32, 20030, 81, 426, 328, 2107, 23693, 370, 330, 32876, 370, 330, 10930, 7281, 370, 330, 39461, 785, 284, 2297, 32, 297, 81, 24497, 280, 2297, 32, 20030, 81, 426, 328, 2107, 23693, 370, 330, 32876, 370, 16329, 330, 10930, 7281, 370, 330, 39461, 370, 330, 101, 539, 785, 284, 2297, 32, 297, 81, 9508, 280, 646, 2297, 32, 297, 81, 24497, 284, 2297, 32, 3779, 280, 3621, 284, 2297, 32, 10762, 2004, 280, 7053, 2004, 284, 2297, 32, 3781, 280, 4567, 284, 2297, 32, 8676, 81, 681, 280, 6652, 81, 681, 284, 2297, 32, 1664, 280, 2297, 32, 17381, 81, 1664, 26, 1647, 27, 284, 2297, 32, 2423, 1209, 280, 2297, 32, 371, 81, 2423, 1209, 26, 1647, 27, 284, 442, 2297, 203, 589, 617, 371, 81, 2452, 290, 26, 2452, 290, 30, 17163, 47, 2521, 30, 793, 81, 17089, 42928, 47, 2700, 711, 284, 415, 646, 1673, 290, 44, 291, 442, 284, 1673, 290, 280, 617, 20030, 81, 2452, 290, 81, 426, 26, 2452, 290 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 0, 1, 1, 2, 3, 2, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 6, 6, 6, 7, 10, 9, 10, 9, 10, 9, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 2, 2, 3, 3, 3, 7, 8, 8, 8, 7, 8, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 6, 9, 9, 9, 7, 7, 9, 10, 9, 9, 11, 11, 9, 11, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 2, 2, 6, 6, 6, 5, 5, 5, 5, 6, 4, 4, 7, 8, 8, 8, 6, 7, 7, 7, 6, 2, 2, 3, 5, 6, 4, 4, 5, 7, 7, 7, 7, 7, 8, 8, 8, 8, 7, 3, 3, 5, 7, 8, 8, 7, 7, 7, 9, 8, 9, 9, 9, 9, 7, 7, 7, 9, 8, 9, 9, 7, 7, 7, 8, 9, 7, 2, 2, 5, 5, 4, 4, 7, 8, 8, 8, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 8, 8, 8, 7, 8, 8, 8, 8, 6, 2, 2, 5, 6, 4, 4, 5, 5, 5, 2, 2, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 5, 6, 6, 4, 4, 5, 6, 6, 6, 2, 2, 5, 6, 6, 6, 4, 4, 6, 7, 7, 7, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 8, 6, 8, 8, 2, 2, 5, 6, 6, 6, 4, 4, 6, 7, 7, 7, 5, 5, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 2, 2, 5, 6, 6, 6, 4, 4, 5, 6, 7, 7, 7, 2, 2, 5, 6, 4, 4, 2, 2, 5, 6, 6, 4, 4, 5, 2, 2, 5, 6, 4, 4, 2, 2, 5, 6, 6, 6, 4, 4, 5, 5, 2, 2, 5, 6, 4, 4, 6, 7, 7, 7, 6, 7, 6, 2, 2, 5, 6, 6, 4, 4, 6, 7, 7, 7, 7, 6, 7, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 4, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 3, 3, 3, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 5, 5, 2, 1, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 0, 9, 2, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 4, 4, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 1, 1, 1, 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, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 3, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 2, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 19, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 5, 2, 2, 6, 6, 0, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ]
[ 465, 2361, 203, 1070, 46624, 32, 5558, 32, 22765, 1188, 5601, 203, 1070, 1519, 1188, 5380, 619, 1519, 203, 465, 22977, 203, 1070, 44524, 1188, 44524, 203, 465, 13539, 761, 203, 1070, 29590, 1188, 8664, 86, 1433, 203, 465, 7763, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 9331, 1188, 1476, 81, 2501, 203, 1070, 816, 1647, 32, 1647, 2157, 1188, 7703, 2780, 2759, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2297, 2157, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 11025, 81, 2304, 1188, 7703, 2780, 7233, 30, 11177, 81, 2157, 81, 1163, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 11025, 81, 2304, 1188, 308, 284, 5895, 81, 4601, 81, 40737, 81, 6719, 792, 4128, 9069, 30, 5895, 81, 4601, 81, 34923, 81, 6719, 792, 4128, 9069, 203, 27, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 22509, 2214, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 2593, 81, 36118, 1188, 1188, 81, 7632, 81, 1070, 81, 2593, 203, 4601, 81, 3197, 280, 4070, 32, 22116, 81, 3765, 81, 4601, 81, 7789, 203, 5732, 81, 1197, 45459, 81, 31254, 280, 2107, 40376, 370, 330, 6656, 370, 330, 1676, 81, 4611, 785, 203, 32070, 9825, 280, 301, 284, 330, 318, 74, 33, 40376, 33, 36, 34, 35, 36, 81, 38206, 950, 330, 2593, 370, 284, 330, 318, 74, 33, 6656, 33, 36, 34, 35, 36, 81, 38206, 950, 330, 2593, 370, 284, 330, 318, 74, 33, 1676, 81, 4611, 33, 36, 34, 35, 36, 81, 38206, 950, 330, 2593, 370, 203, 111, 203, 3765, 81, 4601, 81, 35919, 1345, 81, 5732, 81, 6719, 792, 4128, 9069, 280, 11177, 81, 2157, 81, 1163, 26, 284, 9591, 81, 3197, 30, 488, 6870, 9825, 30, 2305, 81, 2593, 47, 1815, 30, 5592, 81, 1855, 81, 15615, 47, 5732, 81, 1197, 45459, 81, 31254, 30, 203, 27, 203, 50, 2437, 463, 23434, 81, 35, 683, 203, 823, 24199, 35506, 26, 2459, 2780, 7233, 711, 284, 1156, 858, 505, 280, 3177, 284, 1984, 81, 426, 280, 330, 36, 34, 35, 36, 81, 38206, 25, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 9770, 35506, 30, 630, 547, 23741, 346, 291, 630, 32, 858, 81, 7632, 81, 678, 280, 2297, 2157, 922, 2682, 81, 7632, 81, 678, 440, 318, 74, 392, 313, 6656, 392, 313, 36, 34, 35, 36, 81, 38206, 657, 291, 630, 32, 5893, 81, 19013, 280, 630, 32, 944, 81, 19013, 346, 284, 665, 2454, 81, 19013, 26, 784, 711, 291, 2968, 280, 2297, 2157, 346, 291, 5799, 81, 1088, 280, 7763, 32, 5897, 26, 5962, 310, 44, 1044, 25, 22819, 174, 135, 238, 4589, 239, 15231, 86, 25, 904, 310, 27, 291, 22509, 2214, 32, 1297, 26, 324, 1086, 47, 5665, 81, 1088, 30, 324, 8419, 47, 103, 25, 7784, 1999, 174, 135, 142, 18064, 248, 145, 137, 1309, 370, 324, 2503, 81, 426, 47, 103, 25, 36, 34, 35, 36, 81, 56, 1576, 145, 137, 145, 137, 370, 324, 2297, 2157, 47, 2157, 291, 829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 0, 2, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 4, 4, 4, 3, 2, 2, 6, 6, 5, 5, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 5, 6, 5, 4, 4, 10, 11, 11, 10, 10, 10, 9, 8, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 11, 11, 10, 10, 10, 10, 10, 9, 11, 11, 11, 9, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 9, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 9, 5, 5, 8, 8, 7, 7, 9, 10, 9, 10, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 5, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 8, 8, 8, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 2, 2, 3, 3, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 6, 6, 6, 6, 0, 0, 0, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 2, 10, 10, 0, 0, 0, 11, 11, 0, 1, 2, 2, 1, 4, 11, 11, 0, 0, 12, 12, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 12, 12, 0, 0, 12, 12, 0, 0, 0, 0, 0, 13, 13, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 13, 13, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 13, 0, 14, 14, 0, 1, 2, 2, 1, 4, 1, 6, 14, 14, 0, 0, 15, 15, 0, 1, 2, 2, 1, 4, 4, 4, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 2, 2, 2, 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, 3, 3, 1, 1, 0, 0, 5, 2, 1, 1, 0, 0, 0, 0, 7, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 20, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 ]
[ 465, 6436, 203, 1070, 18414, 1188, 22269, 203, 589, 2290, 81, 7568, 26, 88, 30, 816, 30, 319, 1132, 711, 284, 816, 35, 280, 816, 284, 816, 36, 280, 816, 284, 415, 816, 610, 225, 34, 21190, 291, 12211, 280, 225, 35, 1569, 39, 34, 32, 284, 813, 44, 291, 12211, 280, 816, 33, 39, 34, 32, 284, 1769, 1731, 280, 225, 38, 34, 284, 8206, 500, 44184, 280, 6436, 32, 8663, 26, 36, 27, 284, 312, 280, 816, 284, 2093, 280, 296, 26, 83, 30, 319, 1132, 27, 284, 323, 280, 816, 284, 22254, 280, 296, 26, 84, 30, 319, 1132, 27, 284, 436, 595, 328, 2155, 26, 1449, 1731, 711, 291, 12211, 280, 12211, 28, 4148, 500, 44184, 291, 312, 280, 816, 429, 12211, 291, 2093, 280, 296, 26, 83, 30, 319, 1132, 27, 291, 323, 280, 816, 474, 12211, 291, 22254, 280, 296, 26, 84, 30, 319, 1132, 27, 291, 415, 308, 1919, 28, 4342, 333, 225, 34, 32, 711, 442, 308, 83, 30, 323, 27, 284, 3636, 313, 29888, 1330, 2290, 312, 19655, 2155, 3107, 203, 589, 622, 81, 107, 26, 106, 30, 296, 30, 15376, 30, 39813, 30, 44871, 30, 319, 1132, 711, 284, 533, 280, 296, 26, 106, 30, 319, 1132, 27, 284, 39813, 280, 1769, 26, 41757, 30, 533, 27, 284, 44871, 280, 1847, 26, 43206, 30, 533, 27, 284, 15941, 3886, 280, 308, 3596, 26, 107, 27, 333, 15376, 8088, 41757, 31, 43206, 490, 284, 442, 308, 107, 30, 39813, 30, 44871, 30, 15941, 3886, 27, 203, 589, 296, 6158, 26, 1382, 81, 1298, 30, 3051, 81, 32180, 30, 319, 1132, 30, 1115, 41042, 711, 284, 7592, 47, 22926, 32, 9880, 32, 84, 1575, 349, 26, 1382, 81, 1298, 30, 36, 40, 37, 30, 37, 35, 39, 30, 1132, 4310, 87, 81, 1977, 490, 284, 442, 7592, 203, 589, 894, 1298, 26, 106, 711, 284, 442, 6436, 32, 7102, 26, 106, 27, 203, 325, 1156, 426, 505, 11490, 505, 1831, 18018, 284, 296, 280, 894, 1298, 284, 816, 280, 225, 35, 32, 284, 1459, 296, 6158, 26, 88, 30, 816, 27, 284, 1459, 296, 6158, 26, 88, 30, 816, 30, 15376, 47, 35, 87, 31, 37, 34, 34, 30, 1769, 1731, 280, 225, 42, 34, 7447, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 2, 1, 1, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 5, 3, 3, 6, 6, 8, 8, 8, 8, 8, 3, 3, 4, 4, 4, 7, 7, 8, 9, 9, 9, 2, 2, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 4, 4, 2, 2, 4, 4, 6, 7, 6, 6, 8, 6, 2, 2, 4, 4, 2, 2, 4, 4, 6, 7, 6, 6, 8, 6, 2, 2, 3, 3, 3, 5, 6, 6, 5, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 7, 4, 4, 6, 6, 8, 9, 8, 8, 10, 8, 4, 4, 6, 6, 7, 7, 4, 4, 6, 6, 8, 9, 8, 8, 10, 8, 4, 4, 5, 9, 8, 9, 7, 7, 8, 8, 6, 5, 7, 9, 8, 8, 8, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 4, 4, 6, 7, 6, 6, 8, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 6, 2, 2, 5, 4, 4, 8, 8, 9, 8, 6, 6, 7, 10, 9, 10, 8, 2, 2, 3, 5, 4, 4, 4, 4, 4, 4, 5, 4, 0, 1, 1, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 4, 8, 7, 8, 6, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 8, 7, 9, 9, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 6, 5, 0, 1, 1, 3, 3, 2, 4, 4, 4, 1, 1, 4, 4, 5, 2, 2, 4, 4, 5, 5, 2, 2, 3, 5, 5, 6, 5, 5, 5, 2, 2, 3, 5, 5, 6, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 5, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 9, 9, 9, 1, 1, 1, 1, 9, 9, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 0, 2, 1, 1, 2, 2, 1, 5, 0, 1, 1, 1, 1, 4, 4, 10, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 7, 1, 0, 4, 4, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 5, 5, 5, 1, 0, 7, 1, 1, 1, 2, 4, 4, 1, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 0, 2, 3, 3, 0, 0, 2, 2, 3, 3, 2, 0, 1, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 2, 2, 1, 1, 0, 7, 7, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 465, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 2398, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 7660, 2195, 32, 2304, 32, 4466, 1188, 15601, 2900, 203, 823, 18582, 26, 750, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 16112, 81, 1526, 280, 46474, 710, 1286, 2516, 32, 14264, 5695, 5740, 32, 371, 26, 725, 81, 1172, 1057, 912, 2195, 370, 1542, 1057, 1526, 683, 291, 1474, 280, 313, 40617, 312, 2489, 4684, 372, 14765, 20, 291, 1929, 81, 812, 8805, 280, 46474, 32, 51, 2489, 32, 5740, 32, 998, 346, 291, 436, 11073, 328, 15601, 2900, 26, 494, 32, 51, 2489, 32, 5740, 32, 5162, 1026, 1929, 81, 812, 8805, 30, 1474, 711, 324, 16112, 280, 11073, 32, 1286, 81, 681, 324, 415, 16112, 32, 725, 81, 1172, 610, 330, 912, 2195, 25, 461, 16112, 32, 1160, 328, 2726, 4594, 370, 330, 10004, 370, 330, 3647, 7831, 400, 11073, 32, 1286, 81, 681, 280, 16112, 81, 1526, 400, 1596, 44, 528, 11073, 32, 1473, 81, 314, 280, 46474, 32, 3160, 32, 5740, 32, 371, 14605, 12157, 784, 16335, 101, 505, 314, 25, 904, 596, 26, 288, 32, 1160, 711, 11073, 32, 1473, 81, 314, 12665, 314, 400, 2940, 46474, 32, 3160, 32, 34747, 44, 528, 4036, 400, 11073, 32, 2853, 346, 291, 1474, 280, 313, 40617, 316, 524, 87, 4684, 372, 14765, 20, 291, 1929, 81, 268, 524, 307, 280, 46474, 32, 435, 524, 87, 32, 5740, 32, 998, 346, 291, 436, 26465, 328, 15601, 2900, 26, 494, 32, 435, 524, 87, 32, 5740, 32, 5162, 1026, 1929, 81, 268, 524, 307, 30, 1474, 711, 324, 415, 26465, 32, 4594, 44, 400, 26465, 32, 4594, 81, 1526, 280, 46474, 32, 3160, 32, 5740, 32, 371, 26, 784, 81, 4594, 505, 314, 47, 8629, 32, 4594, 32, 314, 27, 400, 26465, 32, 2853, 346, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 313, 2538, 1370, 24382, 4438, 2442, 3107, 284, 4549, 280, 301, 291, 330, 912, 2195, 32, 6891, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 3680, 370, 330, 1199, 81, 1274, 950, 313, 103, 25, 6891, 25, 3918, 324, 330, 2480, 81, 269, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 370, 5518, 5053, 1536, 950, 330, 6665, 32, 6665, 32, 2174, 45306, 324, 330, 6891, 81, 681, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 12470, 30400, 370, 5518, 41745, 324, 330, 1286, 81, 681, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 370, 5518, 5053, 452, 950, 313, 494, 710, 1286, 2516, 32, 14264, 785, 3612, 471, 324, 330, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 297, 81, 16676, 3251, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 39471, 370, 5518, 5053, 1536, 950, 330, 2700, 45306, 324, 330, 1473, 81, 314, 950, 2726, 11025, 32, 1199 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 10, 12, 12, 12, 12, 12, 10, 8, 9, 8, 10, 10, 10, 9, 11, 11, 11, 8, 9, 11, 11, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 6, 6, 10, 11, 11, 9, 10, 8, 9, 8, 4, 4, 5, 5, 5, 7, 7, 12, 11, 12, 12, 10, 11, 9, 10, 9, 7, 8, 8, 8, 7, 7, 7, 5, 5, 8, 8, 9, 10, 10, 10, 6, 6, 7, 10, 11, 11, 11, 9, 9, 11, 11, 11, 8, 8, 10, 11, 9, 9, 12, 12, 10, 12, 12, 10, 12, 12, 7, 7, 11, 12, 12, 12, 10, 10, 11, 11, 8, 8, 9, 9, 9, 13, 14, 14, 14, 12, 12, 17, 18, 16, 17, 15, 16, 15, 17, 21, 21, 21, 21, 21, 21, 19, 19, 21, 23, 22, 23, 21, 18, 19, 20, 20, 20, 17, 14, 9, 9, 10, 12, 13, 11, 12, 10, 10, 10, 8, 8, 11, 12, 11, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 10, 11, 11, 11, 9, 10, 8, 9, 8, 4, 4, 5, 5, 5, 7, 7, 12, 11, 12, 12, 12, 10, 11, 9, 10, 9, 7, 8, 8, 8, 8, 7, 7, 7, 5, 5, 7, 8, 9, 7, 7, 7, 11, 12, 12, 12, 10, 10, 14, 15, 13, 14, 12, 13, 12, 14, 14, 14, 14, 14, 13, 16, 15, 16, 14, 15, 12, 8, 8, 11, 12, 11, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 9, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 2, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 2, 1, 1, 2, 6, 6, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 4, 4, 3, 3, 3, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 5, 5, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 3, 0, 2, 1, 2, 3, 3, 3, 3, 3, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 4, 4, 6, 6, 6, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 3, 3, 3, 3, 1, 1, 1, 6, 6, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 15390, 81, 30839, 203, 1070, 638, 1188, 617, 1439, 203, 823, 8287, 2176, 1439, 32, 2348, 711, 284, 665, 18796, 26, 784, 711, 291, 4552, 35, 280, 4552, 36, 280, 1665, 291, 436, 2404, 328, 630, 32, 1855, 44, 324, 415, 4552, 35, 438, 646, 1665, 44, 400, 6761, 4552, 36, 30, 4552, 35, 30, 2404, 324, 4552, 36, 280, 4552, 35, 324, 4552, 35, 280, 2404, 291, 6761, 4552, 36, 30, 4552, 35, 30, 1665, 284, 665, 1156, 1731, 3207, 784, 711, 291, 436, 4552, 30, 2404, 30, 2354, 328, 630, 32, 9717, 2262, 324, 827, 280, 2404, 1365, 681, 1446, 324, 415, 827, 610, 313, 2130, 2633, 563, 400, 415, 308, 1956, 1365, 605, 1446, 556, 715, 646, 630, 32, 297, 81, 5301, 81, 1366, 26, 1956, 1365, 426, 3439, 4552, 30, 2354, 8531, 528, 6761, 2404, 324, 4348, 827, 610, 313, 2102, 2633, 563, 400, 415, 646, 630, 32, 297, 81, 5301, 81, 416, 26, 1956, 1365, 426, 3439, 2354, 711, 528, 6761, 2404, 324, 813, 44, 400, 6761, 2404, 284, 665, 438, 81, 5301, 81, 1366, 26, 784, 30, 2604, 426, 30, 4552, 30, 2354, 711, 291, 827, 280, 2354, 461, 2354, 1365, 681, 1446, 556, 1665, 291, 415, 2604, 426, 328, 330, 916, 950, 324, 442, 827, 646, 328, 2884, 6315, 392, 313, 5135, 22444, 657, 291, 4348, 2604, 426, 610, 330, 1816, 950, 324, 415, 827, 328, 2884, 2130, 2633, 392, 313, 2766, 2633, 10280, 400, 442, 2933, 324, 4348, 827, 610, 313, 2102, 2633, 563, 400, 442, 2354, 1365, 426, 1446, 610, 313, 1816, 20, 291, 4348, 2604, 426, 610, 330, 1548, 950, 324, 415, 827, 328, 2884, 6315, 392, 313, 5135, 22444, 10280, 400, 442, 3177, 324, 4348, 827, 610, 313, 2130, 2633, 563, 400, 442, 2354, 1365, 426, 1446, 646, 328, 2726, 1423, 370, 330, 1621, 683, 324, 813, 44, 400, 442, 2933, 291, 4348, 2604, 426, 610, 330, 19549, 950, 324, 415, 827, 328, 2884, 2130, 2633, 392, 313, 2766, 2633, 10280, 400, 442, 2354, 1365, 426, 1446, 610, 313, 748, 20, 324, 813, 44, 400, 442, 3177, 291, 4348, 2604, 426, 610, 330, 6111, 950, 324, 415, 827, 610, 313, 2130, 2633, 563, 400, 415, 4552, 461, 4552, 710, 681, 785, 610, 330, 2102, 2633, 25, 461, 766, 715, 4552, 710, 426, 785, 328, 2726, 6111, 370, 330, 7691, 370, 330, 43258, 7831, 528, 442, 3177, 400, 442, 2354, 1365, 426, 1446, 610, 330, 359, 25, 324, 813, 44, 400, 442, 3177, 291, 442, 3177, 284, 665, 438, 81, 5301, 81, 416, 26, 784, 30, 2604, 426, 30, 2354, 711, 291, 827, 280, 2354, 461, 2354, 1365, 681, 1446, 556, 1665, 291, 415, 2604, 426, 328, 2726, 916, 370, 330, 1816, 370, 330, 1548, 7831, 324, 442, 827, 646, 328, 2884, 6315, 392, 313, 5135, 22444, 657, 291, 4348, 2604, 426, 328, 2726, 374, 370, 330, 2215, 1363, 370, 330, 359, 7831, 324, 415, 827, 610, 313, 2130, 2633, 563, 400, 442, 2354, 1365, 426, 1446, 610, 2604, 426, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 6, 6, 8, 7, 7, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 7, 9, 8, 8, 8, 7, 7, 7, 10, 12, 11, 11, 12, 11, 11, 6, 6, 9, 8, 8, 9, 6, 6, 9, 8, 8, 4, 4, 6, 8, 7, 7, 8, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 6, 6, 6, 5, 5, 7, 8, 7, 5, 5, 8, 8, 9, 11, 11, 6, 6, 7, 8, 8, 10, 10, 10, 7, 7, 9, 13, 12, 14, 14, 11, 11, 11, 12, 14, 15, 15, 15, 15, 15, 14, 16, 15, 17, 17, 14, 14, 14, 14, 9, 9, 12, 7, 7, 8, 9, 9, 11, 11, 11, 8, 8, 10, 11, 13, 14, 14, 14, 14, 14, 13, 15, 14, 16, 16, 13, 13, 10, 10, 13, 7, 7, 8, 8, 8, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 8, 9, 11, 11, 7, 7, 4, 4, 5, 7, 6, 6, 8, 8, 5, 5, 7, 8, 8, 8, 11, 11, 9, 11, 11, 11, 5, 5, 6, 8, 7, 7, 9, 9, 6, 6, 8, 9, 9, 12, 12, 12, 10, 12, 12, 12, 8, 8, 10, 8, 8, 9, 10, 10, 12, 12, 12, 9, 9, 11, 13, 15, 15, 12, 12, 14, 14, 5, 5, 6, 8, 7, 7, 9, 9, 6, 6, 8, 9, 9, 12, 12, 10, 12, 12, 12, 8, 8, 10, 8, 8, 9, 10, 10, 12, 12, 12, 9, 9, 11, 13, 15, 15, 12, 12, 12, 15, 15, 13, 15, 15, 8, 8, 9, 9, 9, 11, 5, 5, 6, 8, 7, 7, 9, 9, 6, 6, 8, 9, 9, 12, 12, 12, 10, 12, 12, 12, 8, 8, 10, 12, 14, 14, 11, 11, 13, 13, 8, 8, 9, 9, 9, 11, 5, 5, 6, 8, 7, 7, 9, 9, 6, 6, 8, 9, 9, 11, 11, 11, 8, 8, 10, 12, 12, 14, 16, 16, 13, 13, 15, 15, 15, 11, 11, 12, 11, 13, 15, 15, 12, 12, 15, 15, 13, 15, 15, 13, 15, 15, 10, 10, 12, 9, 9, 10, 12, 14, 14, 11, 11, 13, 13, 8, 8, 9, 9, 9, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 9, 11, 11, 7, 7, 4, 4, 5, 7, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 5, 5, 7, 8, 8, 8, 11, 11, 9, 11, 11, 11, 5, 5, 6, 8, 7, 7, 10, 10, 8, 10, 10, 10, 8, 10, 10, 6, 6, 8, 9, 9, 11, 11, 11, 8, 8, 10, 12, 14, 14, 11, 11, 12, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 5, 5, 0, 0, 0, 2, 5, 5, 0, 0, 0, 4, 4, 0, 0, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 4, 1, 1, 1, 1, 2, 4, 4, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 5, 5, 5, 0, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 4, 4, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 4, 0, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 5, 0, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 5, 5, 5, 0, 1, 1, 6, 0, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 1, 1, 7, 0, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 3, 3, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 3, 3, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 4, 4, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 2, 2, 2, 4, 4, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 4, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0 ]
[ 1216, 4064, 1427, 8223, 203, 465, 12500, 32, 978, 4785, 619, 5743, 203, 465, 6436, 619, 2065, 203, 1070, 13134, 32, 286, 20103, 1188, 35797, 34956, 203, 589, 540, 4372, 81, 1126, 26, 15592, 30, 4193, 30, 1861, 711, 284, 816, 280, 2065, 32, 24356, 26, 34, 30, 12066, 429, 225, 35, 30, 12066, 27, 284, 816, 280, 1833, 36, 517, 1833, 2356, 32, 8663, 26, 37, 319, 1861, 27, 319, 2065, 32, 1295, 1115, 225, 35, 517, 225, 38, 2610, 276, 319, 308, 35, 429, 1833, 106, 429, 4193, 27, 1115, 225, 36, 517, 1861, 1115, 225, 36, 490, 276, 319, 2065, 32, 2832, 1162, 7374, 106, 429, 4193, 27, 1115, 225, 36, 27, 517, 308, 36, 319, 1861, 1115, 225, 36, 2610, 284, 442, 816, 203, 589, 540, 4372, 81, 4873, 26, 1644, 30, 12066, 30, 310, 81, 3527, 711, 284, 40962, 280, 2065, 32, 24356, 26, 34, 30, 12066, 429, 225, 35, 30, 310, 81, 3527, 27, 284, 475, 280, 2065, 32, 2951, 1162, 96, 81, 3527, 30, 12066, 490, 284, 436, 595, 30, 4193, 328, 10703, 26, 40868, 711, 291, 475, 77, 91, 79, 280, 540, 4372, 81, 1126, 26, 15592, 30, 4193, 30, 1861, 27, 284, 475, 14374, 2065, 32, 8663, 26, 2356, 32, 1036, 26, 54, 1115, 225, 36, 30, 6013, 47, 35, 490, 6894, 2065, 32, 890, 5082, 79, 284, 442, 475, 203, 15592, 280, 225, 35, 34, 36, 38, 203, 1113, 22979, 280, 225, 37, 261, 203, 1644, 280, 225, 35, 34, 34, 203, 96, 81, 3527, 280, 12066, 517, 1361, 22979, 203, 54, 81, 8638, 280, 540, 4372, 81, 4873, 26, 1644, 47, 1644, 30, 12066, 47, 15592, 30, 715, 310, 81, 3527, 47, 96, 81, 3527, 27, 203, 54, 81, 6844, 280, 2065, 32, 100, 8850, 7288, 26, 100, 4372, 81, 4873, 26, 1644, 47, 105, 30, 12066, 47, 15592, 30, 1891, 310, 81, 3527, 47, 2356, 32, 9121, 26, 96, 81, 3527, 517, 225, 39, 490, 2855, 436, 341, 328, 308, 35, 34, 30, 225, 39, 34, 30, 225, 35, 34, 34, 30, 225, 39, 34, 34, 30, 225, 35, 34, 34, 34, 12634, 203, 107, 280, 2065, 32, 24356, 26, 34, 30, 12066, 429, 225, 35, 30, 12066, 27, 203, 2232, 81, 37251, 280, 533, 333, 12066, 517, 225, 38, 203, 107, 77, 2232, 81, 37251, 79, 280, 225, 37, 32, 203, 107, 77, 2356, 32, 11081, 81, 1206, 26, 2232, 81, 37251, 2177, 280, 429, 35, 32, 203, 37491, 280, 41449, 14945, 370, 330, 592, 370, 1665, 30, 225, 35, 39, 30, 330, 2172, 107, 1425, 1090, 2726, 62, 36895, 370, 330, 386, 97, 81, 2087, 370, 225, 36, 30, 1665, 30, 330, 10104, 10524, 1125, 1425, 1481, 203, 15101, 280, 225, 36, 203, 6073, 32, 7630, 26, 21439, 4310, 35, 37, 30, 225, 40, 490, 203, 979, 1361, 3399, 30, 308, 54, 30, 1780, 27, 328, 10703, 26, 3969, 1162, 54, 81, 8638, 30, 475, 81, 6844, 471, 11244, 2726, 8638, 1861, 370, 330, 12565, 44993, 2847, 711, 284, 5743, 32, 23541, 26, 35, 30, 225, 36, 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 ]
[ 3, 3, 4, 4, 0, 1, 1, 3, 4, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 6, 7, 7, 8, 6, 6, 6, 2, 2, 4, 4, 10, 9, 9, 16, 15, 16, 15, 17, 16, 16, 15, 13, 13, 15, 16, 14, 14, 15, 12, 12, 13, 11, 7, 7, 7, 10, 9, 9, 15, 14, 14, 13, 12, 12, 13, 11, 11, 12, 12, 13, 10, 6, 6, 6, 8, 9, 8, 11, 15, 14, 14, 13, 12, 12, 13, 10, 9, 9, 12, 11, 11, 12, 12, 13, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 6, 7, 7, 8, 6, 6, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 7, 7, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 3, 3, 7, 8, 7, 6, 6, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 2, 2, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 10, 10, 11, 9, 9, 10, 11, 9, 5, 5, 6, 7, 7, 5, 2, 2, 3, 0, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 2, 2, 3, 0, 0, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 7, 7, 7, 7, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 7, 9, 9, 8, 11, 10, 11, 10, 12, 12, 12, 11, 11, 12, 10, 5, 5, 6, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 0, 3, 2, 2, 4, 5, 4, 5, 4, 4, 5, 5, 6, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 4, 4, 5, 0, 4, 3, 4, 4, 4, 3, 2, 2, 3, 3, 0, 4, 3, 6, 5, 6, 6, 6, 5, 6, 6, 6, 5, 2, 2, 4, 4, 0, 3, 2, 2, 6, 6, 4, 6, 6, 4, 4, 4, 5, 5, 4, 4, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 4, 5, 4, 4, 4, 4, 6, 6, 6, 6, 3, 0, 3, 2, 2, 3, 0, 4, 3, 4, 3, 5, 4, 6, 6, 5, 5, 6, 5, 0, 1, 1, 3, 2, 2, 4, 3, 3, 3, 1, 1, 3, 5, 5, 7, 7, 7, 6, 6, 7, 7, 6, 5, 5, 8, 8, 8, 6, 8, 8, 8, 3, 1, 1, 5, 6, 5, 6, 5, 5, 6, 5 ]
[ 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 2, 2, 3, 3, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 4, 2, 0, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 2, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 3, 2, 1, 2, 2, 4, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 7, 7, 7, 3, 3, 9, 9, 9, 9, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 7, 7, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 2, 3, 5, 3, 3, 3, 3, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 3, 2, 0, 19, 19, 0, 1, 1, 1, 2, 2, 2, 19, 19, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 19, 19, 0, 2, 1, 1, 1, 1, 3, 1 ]
[ 1070, 49093, 1188, 596, 203, 1070, 11169, 32, 26354, 1188, 1695, 800, 203, 1070, 13625, 1188, 31466, 203, 1070, 7138, 1188, 7138, 203, 465, 622, 4617, 203, 465, 5741, 203, 465, 7060, 203, 465, 6234, 203, 465, 16539, 203, 465, 5237, 203, 1070, 1133, 1188, 9368, 203, 1070, 30902, 1188, 7723, 30, 4401, 30, 892, 30, 6666, 30, 3420, 30, 6422, 203, 1070, 30902, 32, 494, 32, 2848, 1188, 1930, 81, 36767, 203, 1070, 15306, 1867, 1188, 2299, 21786, 30, 4549, 30, 4070, 30, 8745, 203, 1070, 15306, 1867, 32, 5983, 1188, 3570, 203, 1070, 15306, 1867, 32, 2304, 1188, 18966, 1867, 984, 30, 5025, 203, 1761, 280, 4549, 32, 1761, 203, 779, 81, 6169, 280, 4549, 32, 779, 81, 6169, 203, 5136, 86, 280, 1665, 203, 325, 3570, 32, 371, 463, 13261, 370, 330, 5136, 86, 81, 267, 7831, 284, 645, 8616, 86, 1188, 23270, 1486, 284, 8616, 86, 280, 23270, 1486, 26, 291, 3408, 47, 2957, 32, 371, 463, 13261, 370, 330, 5136, 86, 81, 2035, 1425, 291, 2601, 47, 2957, 32, 371, 410, 463, 13261, 370, 330, 5136, 86, 81, 625, 1425, 291, 5202, 47, 2957, 32, 371, 463, 13261, 370, 330, 5136, 86, 81, 4254, 2847, 203, 823, 3772, 3782, 26, 1761, 711, 284, 1156, 34426, 505, 280, 313, 3245, 20, 284, 804, 280, 7723, 26, 3061, 30, 7458, 81, 678, 47, 1815, 27, 284, 30075, 81, 314, 280, 7723, 26, 652, 26, 779, 81, 6169, 471, 27, 284, 1603, 280, 7723, 26, 652, 26, 36, 34, 490, 284, 3992, 81, 681, 280, 7723, 26, 652, 26, 37, 34, 490, 284, 1477, 81, 770, 280, 7723, 26, 4852, 1157, 284, 943, 81, 770, 280, 7723, 26, 4852, 1157, 284, 6615, 81, 38570, 280, 7723, 26, 4852, 1157, 284, 13916, 81, 823, 280, 7723, 26, 652, 26, 39, 34, 34, 490, 284, 15871, 280, 7723, 26, 652, 26, 39, 34, 34, 490, 284, 28837, 426, 280, 7723, 26, 652, 26, 35, 34, 34, 34, 490, 284, 1156, 13474, 81, 1132, 505, 280, 301, 291, 330, 3415, 40749, 81, 267, 950, 3992, 81, 681, 30, 291, 330, 3415, 40749, 81, 8543, 950, 330, 1761, 3782, 25, 284, 320, 284, 1156, 1274, 81, 1132, 505, 280, 308, 291, 6422, 463, 3245, 81, 681, 81, 15789, 370, 3992, 81, 681, 30, 6615, 81, 38570, 471, 284, 829, 284, 665, 1156, 1664, 3207, 324, 630, 30, 324, 13916, 47, 2493, 21786, 32, 5807, 81, 35629, 758, 30, 324, 25910, 359, 332, 47, 2957, 32, 371, 410, 463, 13261, 370, 330, 20875, 81, 1675, 3004, 4657, 722, 81, 12873, 1425, 324, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 12256, 280, 6234, 32, 44239, 649, 426, 346, 291, 630, 32, 15208, 280, 13916, 291, 630, 32, 15208, 81, 823, 280, 13916, 3667, 823, 29215, 426, 505, 291, 630, 32, 1366, 81, 770, 280, 7138, 32, 2174, 346, 291, 630, 32, 5323, 81, 38570, 280, 7138, 32, 2174, 346, 291, 630, 32, 292, 282, 359, 332, 280, 25910, 359, 332, 291, 630, 32, 16705, 426, 280, 622, 4617, 32, 371, 496, 346, 291, 2599 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 3, 2, 2, 3, 4, 0, 3, 3, 3, 2, 2, 3, 4, 4, 4, 0, 3, 3, 2, 2, 0, 1, 1, 3, 4, 3, 5, 5, 3, 5, 5, 5, 5, 5, 1, 1, 3, 5, 3, 3, 5, 2, 2, 5, 4, 4, 6, 6, 6, 6, 7, 10, 9, 10, 9, 11, 11, 9, 11, 11, 11, 11, 11, 6, 6, 7, 10, 9, 10, 10, 9, 11, 11, 9, 11, 11, 11, 11, 11, 6, 6, 7, 10, 9, 10, 9, 11, 11, 9, 11, 11, 11, 11, 11, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 8, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 8, 8, 9, 9, 9, 8, 6, 2, 2, 4, 4, 6, 8, 8, 9, 9, 8, 2, 2, 5, 5, 4, 4, 6, 8, 8, 9, 9, 8, 2, 2, 5, 5, 4, 4, 6, 8, 8, 2, 2, 5, 5, 4, 4, 6, 8, 8, 2, 2, 5, 5, 4, 4, 6, 8, 8, 2, 2, 5, 5, 4, 4, 6, 8, 8, 9, 9, 9, 8, 2, 2, 4, 4, 6, 8, 8, 9, 9, 9, 8, 2, 2, 5, 4, 4, 6, 8, 8, 9, 9, 9, 9, 8, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 6, 8, 8, 8, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 7, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 7, 8, 8, 7, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 6, 7, 7, 7, 7, 4, 4, 4, 6, 6, 5, 8, 7, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 9, 8, 4, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 10, 10, 0, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 13, 13, 0, 13, 13, 0, 13, 13, 13, 13, 13, 13, 0, 14, 14, 0, 1, 2, 14, 14, 0, 15, 15, 0, 1, 2, 15, 15, 0, 0, 15, 15, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 19, 19, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 19, 19, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 20, 20, 1, 2, 1, 2, 20, 20, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 5, 1, 2, 2, 4, 4, 13, 1, 1, 2, 2, 2, 2, 2, 3, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 5, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 13, 13, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 4, 4 ]
[ 465, 2361, 203, 1070, 638, 1439, 1188, 3772, 6317, 203, 1070, 4377, 2304, 1188, 622, 81, 1536, 81, 2184, 30, 3398, 8770, 1562, 4424, 203, 823, 3772, 56, 2499, 6317, 26, 1761, 6317, 711, 284, 665, 622, 81, 36377, 1464, 26, 784, 711, 291, 706, 81, 2585, 280, 630, 32, 371, 81, 605, 8532, 35, 10056, 291, 1932, 81, 2592, 280, 428, 342, 77, 34, 79, 436, 709, 328, 706, 81, 2585, 79, 291, 1105, 1075, 1464, 280, 1605, 291, 436, 595, 328, 2155, 26, 35, 30, 2069, 26, 784, 32, 2111, 8531, 324, 1550, 81, 2592, 280, 428, 342, 77, 91, 79, 436, 709, 328, 706, 81, 2585, 79, 324, 1550, 81, 8442, 280, 630, 32, 3969, 81, 668, 26, 2232, 81, 2592, 30, 1550, 81, 2592, 27, 324, 1105, 1075, 1464, 32, 1689, 26, 1700, 81, 8442, 27, 291, 442, 1105, 1075, 1464, 284, 665, 622, 81, 8442, 81, 5740, 26, 784, 711, 291, 9484, 81, 5740, 280, 1605, 291, 1105, 1075, 1464, 280, 630, 32, 371, 81, 36377, 1464, 346, 291, 436, 595, 328, 2155, 26, 35, 30, 2069, 26, 784, 32, 2111, 8531, 324, 9484, 81, 1473, 280, 2149, 324, 9484, 81, 1473, 710, 1172, 785, 280, 630, 32, 2111, 77, 91, 79, 324, 9484, 81, 1473, 710, 605, 785, 280, 1105, 1075, 1464, 77, 91, 429, 225, 35, 79, 324, 9484, 81, 5740, 32, 1689, 26, 8442, 81, 1473, 27, 291, 442, 9484, 81, 5740, 284, 665, 622, 81, 8442, 81, 23202, 81, 5740, 26, 784, 711, 291, 9484, 81, 5740, 280, 1605, 291, 1105, 1075, 1464, 280, 630, 32, 371, 81, 605, 8532, 35, 10056, 291, 1596, 44, 324, 436, 595, 328, 1105, 1075, 1464, 44, 400, 9484, 81, 1473, 280, 2149, 400, 9484, 81, 1473, 710, 1172, 785, 280, 595, 77, 34, 79, 400, 9484, 81, 1473, 710, 605, 785, 280, 595, 77, 35, 79, 400, 9484, 81, 5740, 32, 1689, 26, 8442, 81, 1473, 27, 291, 2940, 44121, 44, 324, 1459, 440, 1612, 2398, 10276, 438, 20463, 6617, 370, 330, 14837, 2188, 428, 36, 34, 34, 38, 30, 225, 35, 34, 34, 614, 428, 36, 34, 34, 39, 30, 225, 37, 34, 34, 3212, 657, 291, 442, 2361, 32, 16958, 26, 8442, 81, 5740, 30, 9011, 47, 3265, 8770, 1562, 4424, 27, 284, 665, 622, 81, 8442, 81, 5740, 81, 1260, 26, 784, 711, 291, 442, 2361, 32, 16958, 26, 784, 32, 371, 81, 8442, 81, 5740, 1026, 9011, 47, 3265, 8770, 1562, 4424, 27, 284, 665, 622, 81, 2184, 26, 784, 711, 291, 2075, 280, 622, 81, 1536, 81, 2184, 346, 291, 2075, 32, 1877, 26, 784, 32, 2184, 27, 291, 442, 2075, 284, 665, 622, 81, 916, 81, 2387, 26, 784, 711, 291, 442, 330, 2255, 500, 33, 88, 2499, 33, 916, 32, 916, 25, 284, 665, 622, 81, 754, 81, 2387, 26, 784, 711, 291, 442, 330, 2255, 500, 33, 88, 2499, 33, 754, 32, 916, 25, 203, 823, 6431, 6317, 26, 1761, 56, 2499, 6317, 711, 284, 665, 622, 81, 2184, 26, 784, 711, 291, 2075, 280, 622, 81, 1536 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 10, 10, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 8, 9, 8, 7, 8, 8, 8, 9, 9, 7, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 7, 9, 11, 10, 11, 9, 5, 5, 9, 9, 8, 8, 11, 10, 11, 10, 9, 10, 10, 10, 11, 11, 9, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 11, 11, 11, 10, 10, 11, 11, 10, 6, 6, 10, 10, 9, 10, 9, 10, 10, 10, 9, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 5, 5, 5, 7, 8, 7, 7, 9, 11, 10, 11, 9, 5, 5, 9, 9, 8, 8, 6, 6, 10, 10, 9, 11, 11, 8, 8, 10, 11, 9, 10, 9, 6, 6, 10, 10, 9, 11, 11, 8, 8, 10, 10, 9, 11, 10, 10, 11, 9, 6, 6, 10, 10, 9, 10, 9, 10, 10, 10, 9, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 9, 10, 10, 10, 9, 9, 8, 4, 4, 5, 5, 5, 7, 7, 7, 8, 8, 7, 7, 7, 11, 11, 10, 10, 8, 8, 12, 12, 11, 13, 13, 10, 10, 11, 12, 11, 8, 8, 12, 12, 11, 13, 13, 10, 10, 11, 12, 11, 8, 8, 12, 12, 11, 12, 11, 12, 12, 12, 11, 5, 5, 6, 6, 6, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 7, 8, 7, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 5, 5, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 4, 4, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 465, 26252, 81, 2946, 81, 858, 81, 2304, 203, 465, 5237, 203, 823, 10819, 2755, 26, 1473, 711, 284, 458, 8469, 280, 15584, 22605, 7099, 1006, 9905, 284, 343, 280, 5053, 426, 81, 1028, 81, 823, 950, 458, 8469, 111, 284, 4082, 262, 280, 5741, 32, 10579, 440, 9281, 3703, 657, 284, 600, 267, 3703, 280, 5741, 32, 10579, 440, 12800, 3703, 657, 284, 665, 1156, 1664, 3207, 784, 711, 291, 343, 280, 5053, 426, 81, 1028, 81, 823, 950, 630, 3667, 823, 29215, 426, 505, 111, 291, 630, 32, 4073, 32, 2811, 440, 765, 4374, 6517, 10819, 2755, 392, 6717, 47, 784, 32, 86, 27, 284, 665, 1245, 81, 1436, 26, 784, 30, 1474, 711, 291, 1459, 291, 630, 32, 19946, 3703, 32, 1338, 440, 13643, 511, 11490, 27, 291, 630, 32, 19946, 3703, 32, 1338, 26, 1436, 27, 291, 630, 32, 19946, 3703, 32, 1338, 440, 13643, 511, 11490, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 8, 8, 8, 8, 8, 8, 6, 7, 5, 2, 2, 4, 4, 4, 6, 7, 6, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 10, 10, 10, 10, 8, 10, 11, 11, 10, 10, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 8, 10, 9, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 4, 4, 8, 9, 9, 7, 8, 7, 9, 9, 9, 7, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 9, 7, 8, 7, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 45977, 203, 823, 47800, 26, 687, 1729, 32, 13172, 711, 284, 665, 9336, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 4275, 30, 8644, 81, 1274, 27, 284, 665, 9843, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 4275, 30, 286, 3205, 81, 1274, 27, 203, 823, 29494, 279, 8770, 26, 687, 1729, 32, 44571, 8770, 711, 284, 665, 9336, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 784, 32, 4275, 30, 8644, 81, 1274, 5594, 34, 79, 203, 823, 29494, 279, 11717, 26, 687, 1729, 32, 44571, 11717, 711, 284, 665, 9843, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 784, 32, 4275, 30, 286, 3205, 81, 1274, 5594, 34, 79, 203, 823, 7537, 3976, 26, 13172, 30, 687, 1729, 32, 1862, 3976, 711, 284, 3097, 203, 823, 7537, 3300, 26, 13172, 30, 687, 1729, 32, 33667, 711, 284, 3097, 203, 589, 622, 1582, 3038, 2262, 284, 442, 45977, 32, 13172, 1120, 26, 291, 636, 1057, 4229, 31, 10347, 93, 370, 291, 9336, 47, 13172, 922, 4434, 30, 291, 9843, 47, 13172, 922, 5460, 30, 291, 33530, 13023, 47, 44571, 8770, 30, 291, 33530, 14858, 47, 44571, 11717, 30, 291, 3443, 6308, 47, 33667, 30, 291, 3443, 7572, 47, 1862, 3976, 30, 284, 829, 203, 286, 3205, 81, 1274, 280, 308, 284, 1044, 10255, 106, 34, 34, 25, 647, 284, 1044, 10255, 106, 34, 35, 25, 647, 284, 1044, 10255, 106, 34, 36, 25, 647, 284, 1044, 10255, 106, 34, 37, 25, 647, 284, 1044, 10255, 106, 34, 38, 25, 647, 284, 1044, 10255, 106, 34, 39, 25, 647, 284, 1044, 10255, 106, 34, 40, 25, 647, 284, 1044, 10255, 106, 34, 41, 25, 647, 284, 1044, 10255, 106, 34, 42, 25, 647, 284, 1044, 10255, 102, 25, 351, 284, 1044, 10255, 96, 25, 351, 284, 1044, 10255, 106, 34, 84, 25, 647, 284, 1044, 10255, 106, 34, 85, 25, 647, 284, 1044, 10255, 100, 25, 351, 284, 1044, 10255, 106, 34, 87, 25, 647, 284, 1044, 10255, 106, 34, 88, 25, 647, 284, 1044, 10255, 106, 35, 34, 25, 647, 284, 1044, 10255, 106, 35, 35, 25, 647, 284, 1044, 10255, 106, 35, 36, 25, 647, 284, 1044, 10255, 106, 35, 37, 25, 647, 284, 1044, 10255, 106, 35, 38, 25, 647, 284, 1044, 10255, 106, 35, 39, 25, 647, 284, 1044, 10255, 106, 35, 40, 25, 647, 284, 1044, 10255, 106, 35, 41, 25, 647, 284, 1044, 10255, 106, 35, 42, 25, 647, 284, 1044, 10255, 106, 35, 43, 25, 647, 284, 1044, 10255, 106, 35, 83, 25, 647, 284, 1044, 10255, 106, 35, 84, 25, 647, 284, 1044, 10255, 106, 35, 85, 25, 647, 284, 1044, 10255, 106, 35, 86, 25, 647, 284, 1044, 10255, 106, 35, 87, 25, 647, 284, 1044, 10255, 106, 35, 88, 25, 647, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 4, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 6, 5, 5, 5, 6, 8, 8, 8, 8, 8, 5, 5, 6, 9, 9, 8, 5, 5, 5, 6, 9, 9, 8, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 6, 4, 4, 4, 6, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4, 4, 6, 7, 7, 7, 6, 4, 4 ]
[ 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 3, 2, 0, 5, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 1, 4, 4, 1, 2, 1, 2, 3, 2, 0, 5, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 5, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 1, 2, 1, 0, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 5, 1, 2, 1, 0, 4, 4, 1, 2, 1, 2, 0, 0, 3, 2, 2, 2, 4, 4, 0, 5, 5, 1, 2, 1, 2, 0, 0, 3, 2, 2, 5, 5, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 2, 1, 1, 1, 5, 0, 1, 2, 1, 1, 1, 0, 7, 2, 2, 1, 1, 1, 0, 9, 2, 2, 1, 1, 1, 0, 11, 2, 1, 1, 1, 0, 13, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1 ]
[ 1070, 30902, 32, 37995, 101, 32, 14107, 32, 1439, 1188, 24864, 37850, 30, 18131, 22242, 30, 23742, 203, 1070, 30902, 1188, 13489, 30, 6929, 203, 1070, 30902, 1188, 3738, 619, 5552, 2516, 203, 1070, 30902, 1188, 4527, 203, 465, 2322, 203, 823, 617, 25927, 81, 978, 14107, 27159, 26, 31141, 711, 284, 665, 5111, 81, 10075, 26, 784, 30, 38043, 711, 291, 415, 38043, 32, 3723, 81, 6665, 44, 324, 442, 1665, 291, 813, 44, 324, 442, 18131, 22242, 32, 2539, 81, 10075, 26, 784, 30, 38043, 27, 284, 665, 1056, 81, 10075, 26, 784, 30, 38043, 30, 932, 681, 711, 291, 415, 38043, 32, 3723, 81, 6665, 44, 324, 442, 1665, 291, 813, 44, 324, 442, 18131, 22242, 32, 1267, 81, 10075, 26, 784, 30, 38043, 30, 932, 681, 27, 203, 823, 617, 25927, 81, 978, 14107, 1547, 26, 5241, 711, 284, 665, 5111, 81, 10075, 26, 784, 30, 38043, 711, 291, 415, 38043, 32, 3723, 81, 6665, 44, 324, 442, 1665, 291, 813, 44, 324, 442, 23742, 32, 2539, 81, 10075, 26, 784, 30, 38043, 27, 284, 665, 1056, 81, 10075, 26, 784, 30, 38043, 30, 932, 681, 711, 291, 415, 38043, 32, 3723, 81, 6665, 44, 324, 442, 1665, 291, 813, 44, 324, 442, 23742, 32, 1267, 81, 10075, 26, 784, 30, 38043, 30, 932, 681, 27, 203, 823, 24864, 37850, 81, 978, 14107, 26, 25927, 37850, 711, 284, 1244, 81, 753, 1621, 280, 330, 99, 1826, 25, 284, 932, 16452, 280, 4527, 32, 1877, 81, 2991, 26, 291, 24864, 37850, 32, 748, 16452, 30, 291, 301, 324, 5552, 2516, 32, 1547, 24180, 25927, 81, 978, 14107, 1547, 30, 324, 5552, 2516, 32, 14880, 24180, 25927, 81, 978, 14107, 27159, 30, 291, 320, 284, 829, 284, 5398, 280, 330, 978, 14107, 25, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 24864, 37850, 3667, 1664, 3207, 784, 30, 1115, 5321, 27, 291, 415, 630, 32, 1199, 1237, 438, 646, 1665, 44, 324, 17735, 81, 424, 280, 630, 32, 1199, 1237, 32, 1648, 81, 1338, 324, 415, 17735, 81, 424, 333, 308, 36, 30, 225, 35, 30, 225, 37, 711, 400, 4527, 32, 8447, 26, 528, 2884, 1318, 6713, 1503, 432, 298, 5533, 659, 36, 10027, 101, 27, 438, 963, 31, 2581, 313, 3486, 313, 363, 1098, 5749, 3878, 328, 1629, 6792, 32, 225, 3036, 225, 36, 32, 35, 32, 37, 313, 3486, 313, 271, 10761, 438, 14381, 7144, 904, 528, 5608, 2473, 2524, 2009, 466, 26, 1113, 424, 27, 436, 1361, 424, 328, 17735, 81, 424, 5259, 284, 477, 17614, 284, 665, 3082, 1237, 26, 6933, 711, 291, 1596, 44, 324, 645, 298, 5533, 659, 36, 1188, 3082, 1237, 36, 619, 17735, 291, 2940, 29986, 30, 484, 44, 324, 1596, 44, 400, 645, 17735, 37, 1188, 3082, 1237, 36, 619, 17735, 4288, 2940, 29986, 44, 400, 3636, 484, 291, 442, 17735, 284, 477, 17614, 284, 665, 622, 81, 5178, 81, 823, 26, 6933, 30, 1984, 711, 291, 415, 1984, 32, 4603, 461, 1984, 32, 4603, 863, 14589, 5566, 44, 950, 324, 442, 6929, 32, 1883, 4198, 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, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 5, 5, 6, 6, 6, 8, 11, 10, 11, 11, 11, 10, 11, 10, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 5, 5, 6, 6, 6, 8, 11, 10, 11, 11, 11, 10, 11, 10, 10, 10, 10, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 5, 5, 6, 6, 6, 8, 10, 11, 11, 11, 10, 11, 10, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 5, 5, 6, 6, 6, 8, 10, 11, 11, 11, 10, 11, 10, 10, 10, 10, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 6, 6, 8, 7, 8, 8, 6, 6, 6, 7, 7, 10, 9, 10, 8, 9, 9, 9, 9, 9, 7, 7, 7, 10, 9, 10, 8, 9, 9, 9, 9, 9, 7, 7, 7, 6, 6, 2, 2, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 9, 7, 4, 4, 5, 7, 8, 8, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 9, 10, 10, 10, 6, 6, 7, 9, 9, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 7, 7, 11, 12, 11, 11, 11, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 16, 16, 16, 16, 16, 12, 12, 12, 16, 15, 14, 17, 17, 18, 18, 17, 15, 16, 17, 16, 16, 17, 17, 15, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 6, 6, 8, 10, 10, 10, 8, 8, 11, 11, 9, 9, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 11, 13, 11, 11, 14, 14, 12, 12, 9, 9, 10, 10, 10, 10, 12, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 8, 9, 7, 7, 9, 10, 8, 8, 10, 10, 10, 6, 6, 8, 9, 10, 10, 6 ]
[ 0, 0, 1, 2, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 3, 3, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 2, 2, 2, 2, 2, 3, 3, 3, 0, 0, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 1, 1, 4, 4, 0, 0, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 1, 0, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 1, 4, 4, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 4, 4, 1, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0 ]
[ 465, 4281, 1260, 203, 465, 22045, 203, 465, 3089, 749, 98, 203, 1070, 3089, 749, 98, 1188, 1913, 203, 1070, 3089, 749, 98, 32, 525, 1188, 1326, 203, 465, 3089, 749, 98, 32, 23403, 32, 1840, 32, 13507, 32, 1831, 619, 2676, 1831, 203, 1070, 3089, 749, 98, 32, 23403, 32, 1840, 32, 525, 1188, 6548, 24742, 984, 203, 1070, 10381, 93, 39583, 32, 11452, 1188, 17768, 203, 465, 10381, 93, 39583, 32, 2304, 203, 823, 9270, 81, 2393, 26, 525, 32, 1917, 711, 284, 477, 525, 32, 4351, 3247, 2175, 81, 3524, 33, 11753, 370, 827, 1057, 525, 370, 3796, 347, 4108, 657, 284, 665, 24764, 36, 4383, 26, 784, 30, 1115, 4124, 711, 291, 1603, 280, 4281, 1260, 32, 12474, 26, 4124, 710, 1293, 3490, 291, 3082, 426, 280, 1603, 32, 371, 463, 86, 683, 291, 2719, 280, 1603, 32, 371, 463, 101, 683, 291, 1984, 81, 601, 280, 1603, 32, 371, 463, 88, 683, 291, 10880, 280, 3089, 749, 98, 32, 3477, 32, 8200, 32, 5378, 1572, 32, 371, 26, 32860, 27, 291, 623, 10880, 32, 7017, 346, 619, 5564, 44, 324, 415, 8556, 32, 371, 463, 687, 370, 2700, 711, 400, 10880, 32, 371, 463, 2175, 15231, 101, 25, 904, 2719, 547, 470, 81, 464, 81, 8395, 26, 2446, 30, 1357, 32, 2848, 32, 1890, 30, 4124, 710, 687, 3490, 400, 442, 10381, 93, 39583, 32, 2304, 32, 7344, 26, 965, 81, 601, 27, 324, 4348, 8556, 32, 371, 463, 731, 7831, 400, 442, 10381, 93, 39583, 32, 2304, 32, 7344, 4912, 101, 23, 101, 23, 101, 20, 904, 308, 965, 81, 601, 6879, 49, 731, 347, 1717, 8556, 32, 371, 463, 731, 21180, 324, 813, 44, 400, 442, 10381, 93, 39583, 32, 2304, 32, 7344, 4912, 101, 23, 101, 20, 904, 308, 965, 81, 601, 6879, 49, 731, 47, 5842, 81, 731, 2131, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 2, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 6, 7, 9, 9, 3, 3, 4, 5, 5, 5, 6, 5, 5, 7, 5, 4, 4, 7, 7, 10, 9, 10, 9, 11, 10, 12, 12, 5, 5, 8, 7, 7, 9, 10, 9, 11, 11, 5, 5, 7, 7, 9, 10, 9, 11, 11, 5, 5, 8, 8, 7, 7, 9, 10, 9, 11, 11, 5, 5, 7, 7, 13, 13, 12, 13, 11, 12, 10, 11, 11, 9, 10, 9, 10, 9, 5, 5, 6, 11, 12, 11, 9, 9, 6, 6, 6, 8, 10, 11, 10, 12, 12, 11, 10, 8, 8, 14, 15, 14, 17, 17, 17, 17, 15, 15, 14, 13, 13, 13, 13, 13, 12, 13, 12, 15, 14, 15, 13, 14, 12, 14, 13, 15, 15, 9, 9, 10, 14, 14, 13, 14, 12, 13, 12, 13, 13, 13, 12, 8, 8, 9, 11, 12, 11, 13, 13, 9, 9, 11, 15, 15, 14, 15, 13, 14, 13, 16, 16, 16, 16, 16, 16, 14, 14, 16, 16, 16, 15, 17, 17, 17, 15, 15, 17, 18, 17, 19, 19, 8, 8, 9, 9, 9, 11, 15, 15, 14, 15, 13, 14, 13, 16, 16, 16, 16, 14, 14, 16, 16, 16, 15, 17, 17, 17, 17, 17, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 0, 2, 0, 4, 0, 6, 0, 8, 1, 1, 2, 0, 6, 6, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 8, 8, 0, 0, 1, 2, 0, 9, 9, 1, 1, 2, 0, 1, 2, 2, 9, 9, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 5, 0, 2, 1, 0, 0, 5, 5, 5, 0, 0, 2, 1, 1, 2, 3, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 3, 2, 1, 0, 5, 1, 2, 3, 3, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 4, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 5, 5, 5, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 284, 1283, 431, 352, 2222, 31, 267, 284, 2640, 308, 53, 27, 225, 36, 34, 35, 40, 1283, 431, 352, 284, 1348, 3460, 438, 3741, 2932, 44, 844, 883, 14086, 561, 461, 33, 271, 5351, 284, 561, 1531, 322, 5955, 432, 322, 6987, 6146, 5056, 1177, 619, 9581, 810, 284, 322, 7823, 3859, 7113, 30, 3154, 1503, 225, 37, 432, 322, 1177, 30, 556, 284, 308, 269, 1370, 2470, 27, 1346, 6125, 1503, 32, 284, 1348, 3460, 438, 2728, 328, 322, 9845, 688, 561, 1098, 526, 6364, 30, 284, 1273, 4197, 2964, 9339, 45, 2876, 4444, 322, 4500, 14327, 432, 284, 7930, 556, 8108, 4786, 399, 7848, 7755, 32, 225, 2802, 322, 284, 6987, 6146, 5056, 1177, 436, 1829, 4245, 32, 284, 2448, 1395, 1159, 6584, 312, 1933, 432, 322, 6987, 6146, 5056, 1177, 284, 7947, 623, 458, 3460, 32, 225, 1670, 646, 30, 2318, 333, 525, 555, 1499, 32, 10628, 32, 1088, 33, 4188, 28733, 203, 9592, 203, 465, 316, 30, 39362, 30, 965, 2208, 30, 1260, 30, 1003, 203, 1070, 6086, 32, 1356, 32, 3477, 1188, 19035, 692, 778, 203, 1070, 6086, 32, 1356, 32, 3477, 1188, 2043, 203, 1070, 6086, 32, 1356, 32, 3477, 1188, 3872, 2238, 203, 1070, 6086, 32, 1356, 32, 3477, 1188, 3320, 203, 823, 1914, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 9786, 280, 225, 35, 291, 630, 32, 4189, 280, 2107, 272, 785, 291, 630, 32, 20798, 280, 2107, 106, 22195, 42, 32, 7598, 370, 330, 106, 22195, 42, 32, 2947, 785, 291, 630, 32, 1439, 81, 1204, 280, 330, 641, 555, 106, 22195, 42, 32, 2947, 25, 291, 630, 32, 12895, 1903, 81, 1204, 280, 3056, 22195, 33, 1903, 49, 101, 6132, 101, 25, 284, 665, 15700, 26, 784, 30, 3960, 1199, 30, 1780, 30, 2196, 1311, 30, 4947, 711, 291, 1596, 44, 324, 1984, 280, 630, 32, 1903, 14968, 26, 1311, 30, 4947, 27, 324, 415, 1984, 610, 1665, 44, 400, 273, 280, 3320, 32, 371, 26, 784, 32, 371, 59, 25756, 3173, 30, 225, 43, 34, 34, 30, 3960, 1199, 27, 400, 415, 273, 863, 1780, 44, 528, 1984, 280, 630, 32, 1903, 14968, 26, 102, 30, 4947, 27, 324, 442, 1984, 291, 2940, 44, 324, 442, 284, 665, 622, 59, 25756, 3173, 26, 784, 30, 3960, 1199, 711, 291, 1596, 44, 324, 273, 280, 330, 525, 555, 1499, 32, 418, 1199, 1237, 32, 508, 8172, 91, 6132, 101, 25, 904, 3960, 1199, 324, 273, 280, 2043, 32, 1357, 26, 102, 27, 324, 273, 280, 2361, 32, 12474, 26, 102, 27, 324, 273, 280, 19035, 692, 778, 32, 12944, 26, 102, 710, 3173, 3490, 324, 442, 273, 291, 2940, 44, 324, 442, 284, 665, 3233, 14968, 26, 784, 30, 1780, 30, 4947, 711, 291, 1596, 44, 324, 1780, 280, 19035, 692, 778, 32, 12944, 26, 1311, 27, 324, 1984, 280, 1984, 2208, 32, 965, 2524, 26, 784, 32, 1439, 81, 1204, 30, 630, 32, 12895, 1903, 81, 1204, 904, 308, 2827, 692, 778, 32, 371, 965, 26, 1311, 32, 3227, 463, 33713, 6470, 2847, 490, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 3, 1, 3, 3, 1, 3, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 9, 9, 4, 4, 7, 8, 6, 6, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 10, 10, 10, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 12, 13, 12, 14, 13, 14, 14, 14, 14, 12, 12, 13, 13, 13, 12, 12, 13, 12, 8, 8, 9, 10, 10, 9, 9, 9, 12, 12, 14, 15, 15, 14, 15, 14, 14, 14, 6, 6, 7, 5, 5, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 8, 8, 11, 11, 10, 11, 10, 12, 11, 13, 13, 6, 6, 7, 5, 5, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 8, 8, 11, 11, 10, 11, 10, 11, 10, 6, 6, 8, 8, 11, 10, 11, 11, 10, 12, 11, 12, 12, 12, 10, 10, 12, 13, 13, 13, 13, 11, 11, 15, 15, 15, 14, 15, 15, 14, 17, 16, 17, 16, 19, 16, 18, 12, 6 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 6, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 7, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 3, 3, 1, 1, 5, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 4, 0, 0, 3, 3, 3, 3, 3, 3, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 465, 2322, 203, 465, 5237, 203, 1070, 1673, 2304, 32, 2501, 32, 1832, 1188, 1968, 619, 3610, 81, 1832, 203, 1070, 1673, 2304, 32, 1040, 1188, 622, 81, 5134, 203, 1070, 6436, 32, 2452, 2304, 32, 2501, 32, 1163, 81, 10199, 1188, 2519, 81, 43831, 81, 980, 38850, 203, 823, 1968, 26, 1455, 81, 1832, 711, 284, 1361, 81, 7621, 280, 41449, 1163, 81, 1152, 370, 262, 9254, 319, 1132, 44, 2933, 471, 528, 2726, 1163, 81, 3499, 370, 262, 9254, 319, 1132, 44, 2933, 471, 528, 2726, 1832, 81, 1617, 370, 262, 3610, 81, 1832, 32, 2040, 81, 407, 81, 3477, 471, 528, 1481, 474, 3610, 81, 1832, 32, 1113, 81, 7621, 284, 1256, 81, 2184, 280, 3610, 81, 1832, 32, 496, 81, 2184, 474, 428, 291, 2726, 88, 10199, 12483, 1665, 30, 276, 313, 38484, 322, 2616, 11377, 8980, 827, 2113, 291, 2726, 13449, 12483, 330, 92, 370, 276, 313, 2171, 432, 11935, 13179, 2113, 291, 1481, 284, 3049, 81, 2184, 280, 3610, 81, 1832, 32, 4756, 81, 2184, 474, 428, 291, 2726, 4756, 31, 88, 10199, 370, 1665, 30, 313, 668, 3304, 2616, 11377, 47276, 392, 276, 2519, 81, 43831, 81, 980, 38850, 471, 291, 1481, 284, 665, 7379, 81, 2184, 26, 784, 711, 291, 3610, 81, 1832, 32, 8788, 81, 2184, 26, 784, 27, 291, 630, 32, 88, 10199, 280, 1665, 291, 630, 32, 13449, 280, 1665, 284, 665, 34207, 81, 2184, 26, 784, 711, 291, 415, 630, 32, 13449, 44, 324, 1596, 44, 400, 630, 32, 13449, 280, 629, 26, 784, 32, 13449, 27, 324, 2940, 10091, 44, 400, 3636, 10091, 13692, 13449, 15913, 92, 2793, 2298, 526, 600, 4991, 657, 291, 1968, 81, 8121, 280, 630, 32, 1832, 81, 8121, 291, 3610, 81, 1832, 32, 28598, 81, 2184, 26, 784, 27, 291, 1278, 269, 81, 16062, 280, 4939, 23, 101, 9299, 101, 20, 904, 308, 371, 81, 5134, 1026, 5237, 32, 1648, 77, 34, 44, 37, 1130, 291, 415, 1968, 81, 8121, 438, 1665, 44, 324, 630, 32, 1832, 81, 8121, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 1832, 81, 1439, 30, 13588, 330, 8121, 25, 474, 1278, 269, 81, 16062, 27, 284, 665, 1420, 26, 784, 711, 291, 3610, 81, 1832, 32, 1945, 26, 784, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 9, 9, 9, 9, 7, 7, 8, 11, 8, 8, 7, 6, 6, 9, 9, 9, 9, 7, 7, 8, 11, 8, 8, 7, 6, 6, 9, 9, 9, 9, 7, 7, 9, 9, 8, 9, 9, 9, 9, 9, 7, 6, 6, 5, 5, 7, 7, 6, 7, 7, 7, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 5, 5, 6, 6, 9, 9, 9, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 5, 5, 6, 6, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 7, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 7, 7, 7, 11, 12, 10, 10, 12, 14, 13, 14, 12, 7, 7, 8, 8, 8, 8, 10, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 4, 4, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 8, 8, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 7, 7, 6, 6, 9, 9, 9, 9, 9, 7, 7, 10, 10, 10, 10, 8, 10, 11, 9, 11, 10, 11, 9, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 12, 12, 10, 10, 10, 13, 13, 11, 11, 12, 12, 12, 10, 2, 2, 3, 4, 5, 4, 3, 3, 8, 8, 7, 8, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 3, 3, 2, 2, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 2, 1, 4, 1, 6, 6, 6, 5, 5, 0, 0, 0, 0, 0, 0, 6, 6, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 3, 1, 3, 3, 1, 0, 0, 1, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 0, 0, 1, 1, 1, 2, 5, 5, 0, 0, 3, 2, 2, 2, 2, 2, 5, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 1, 2, 3, 3, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 7, 7, 7, 7, 1, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 3, 0, 2, 2, 3, 4, 4, 4, 0, 0, 1, 1, 4, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 4196, 322, 24072, 7767, 9592, 203, 465, 2322, 203, 5807, 81, 16819, 72, 1099, 81, 14483, 81, 20017, 81, 19856, 280, 2322, 32, 983, 32, 2524, 463, 497, 1195, 497, 1195, 3378, 1195, 858, 1195, 8031, 683, 203, 1270, 44, 203, 202, 465, 619, 5145, 203, 7343, 29986, 619, 484, 44, 203, 202, 1216, 313, 924, 44, 12619, 646, 2454, 16867, 3285, 13392, 32, 5294, 1505, 322, 7842, 766, 203, 202, 3204, 53, 9110, 20017, 461, 16341, 81, 20017, 81, 4065, 78, 96, 392, 87, 203, 1070, 2163, 681, 1188, 6575, 620, 203, 1070, 2163, 2238, 1188, 6575, 1862, 203, 823, 17912, 4997, 26, 1473, 711, 203, 202, 9592, 203, 202, 1318, 16867, 3285, 13392, 443, 32, 35838, 688, 12440, 101, 372, 16867, 3285, 1395, 526, 2442, 32, 203, 202, 9592, 203, 202, 589, 1156, 1664, 3207, 784, 711, 357, 202, 784, 32, 5248, 280, 1665, 357, 202, 784, 32, 1020, 9605, 280, 1665, 357, 202, 784, 32, 3477, 280, 1665, 22019, 202, 784, 32, 2516, 280, 1665, 357, 202, 784, 32, 8031, 81, 8587, 280, 1605, 357, 202, 784, 32, 15189, 280, 1605, 357, 202, 784, 32, 24124, 280, 619, 5145, 32, 371, 20624, 346, 357, 202, 784, 32, 1536, 5248, 6175, 280, 4040, 81, 16819, 72, 1099, 81, 14483, 81, 20017, 81, 19856, 203, 202, 589, 2454, 81, 5248, 26, 784, 30, 1356, 81, 426, 280, 1665, 711, 357, 202, 325, 5034, 81, 426, 610, 1665, 44, 355, 202, 601, 357, 202, 1356, 81, 983, 280, 2322, 32, 983, 32, 2524, 463, 858, 1195, 8031, 370, 1356, 81, 426, 27, 357, 202, 1270, 44, 355, 202, 784, 32, 5248, 32, 3815, 346, 355, 202, 784, 32, 5248, 32, 944, 26, 1356, 81, 983, 27, 357, 202, 7343, 3268, 619, 484, 44, 355, 202, 784, 32, 5248, 280, 619, 5145, 32, 5876, 346, 355, 202, 784, 32, 5248, 32, 944, 26, 1356, 81, 983, 27, 357, 202, 784, 32, 1020, 9605, 280, 630, 32, 5248, 32, 45319, 3954, 346, 357, 202, 784, 32, 3477, 280, 630, 32, 5248, 32, 371, 12242, 346, 357, 202, 1270, 44, 355, 202, 784, 32, 1521, 2516, 280, 739, 346, 355, 202, 784, 32, 2238, 2516, 280, 739, 346, 355, 202, 979, 345, 328, 630, 32, 3477, 44, 603, 202, 784, 32, 2516, 280, 630, 32, 5248, 32, 48639, 2424, 26, 95, 27, 603, 202, 979, 273, 328, 630, 32, 2516, 44, 577, 202, 784, 32, 2208, 81, 2516, 26, 102, 27, 577, 202, 784, 32, 2208, 81, 15189, 26, 102, 27, 357, 202, 7343, 3268, 619, 484, 44, 355, 202, 1216, 330, 924, 44, 16867, 3285, 25981, 12619, 646, 526, 3892, 766, 96, 370, 87, 355, 202, 4775, 346, 357, 202, 1270, 44, 355, 202, 4025, 630, 32, 8031, 81, 8587, 31445, 355, 202, 979, 273, 328, 630, 32, 1521, 2516, 44, 603, 202, 84, 280, 6575, 620, 26, 102, 30, 784, 32, 1020, 9605, 27, 603, 202, 784, 32, 8031, 81, 8587, 1454, 77, 84, 79, 357, 202, 7343, 3268, 619, 484, 44, 355, 202, 1216, 330, 924, 44, 12619, 646, 2454, 2163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 1, 1, 3, 3, 5, 1, 2, 2, 3, 3, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 5, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 9, 8, 9, 9, 8, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 6, 6, 6, 5, 5, 4, 3, 3, 5, 5, 7, 7, 6, 6, 5, 5, 5, 7, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 9, 9, 9, 8, 4, 4, 5, 5, 5, 5, 11, 10, 11, 9, 10, 9, 6, 6, 11, 10, 11, 9, 10, 9, 10, 10, 10, 9, 5, 5, 6, 6, 7, 7, 6, 6, 6, 11, 10, 11, 9, 9, 12, 11, 12, 11, 7, 7, 12, 11, 12, 10, 11, 10, 11, 11, 11, 10, 4, 4, 8, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 4, 4, 8, 7, 8, 6, 6, 9, 10, 8, 9, 9, 8, 4, 4, 5, 5, 5, 5, 10, 9, 10, 10, 8, 8, 10, 6, 6, 10, 9, 10, 10, 8, 8, 10, 6, 6, 7, 7, 7, 7, 8, 9, 7, 7, 7, 12, 11, 12, 10, 10, 13, 14, 12, 13, 13, 12, 13, 12, 8, 8, 9, 9, 9, 9, 10, 11, 9, 9, 9, 14, 13, 14, 14, 14, 13, 14, 13, 10, 10, 14, 13, 14, 14, 14, 13, 14, 13, 5, 5, 6, 6, 7, 7, 6, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 9, 7, 7, 10, 10, 4, 4, 5, 5, 5, 5, 7, 7, 9, 10, 10, 10, 8, 6, 6, 7, 7, 7, 7, 8, 9, 9, 7, 7, 7, 11, 10, 10, 12, 12, 13, 12, 14, 13, 14, 14, 12, 8, 8, 12, 11, 12, 12, 12, 10, 11, 12, 11, 5, 5, 6, 6, 7, 7, 6, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10 ]
[ 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 1, 1, 3, 3, 3, 0, 0, 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, 2, 3, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 1, 2, 1, 2, 6, 6, 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, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 3, 3, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 5, 5, 5, 1, 4, 4, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 3, 3, 3, 0, 0, 2, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 5, 5, 5, 5, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 5, 5, 3, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 3, 0, 1, 4, 4, 6, 6, 6, 6, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 3, 2, 2, 1, 5, 5, 0, 0, 2, 2, 2, 0, 2, 1, 2, 6, 6, 3, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1 ]
[ 465, 5741, 203, 1070, 2676, 3773, 978, 32, 3086, 81, 4882, 32, 3378, 1188, 894, 81, 2358, 993, 203, 1070, 2676, 3773, 978, 32, 3086, 81, 4882, 32, 3378, 1188, 894, 81, 32997, 203, 81, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 2108, 2529, 5472, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 40836, 30, 1929, 81, 4882, 711, 291, 630, 32, 2999, 280, 1929, 81, 4882, 291, 630, 32, 18233, 280, 630, 32, 2999, 291, 630, 32, 2358, 993, 280, 40836, 291, 630, 32, 3140, 280, 225, 34, 291, 630, 32, 22562, 280, 225, 34, 291, 630, 32, 22562, 81, 32997, 280, 225, 34, 291, 630, 32, 22562, 81, 2446, 16670, 280, 225, 34, 291, 630, 32, 22562, 81, 5457, 101, 280, 225, 34, 291, 630, 32, 4882, 81, 1170, 81, 2358, 367, 280, 2149, 291, 630, 32, 4882, 81, 1170, 81, 16471, 280, 2149, 291, 630, 32, 4295, 81, 1170, 81, 426, 280, 2149, 16189, 630, 32, 464, 81, 4295, 280, 1605, 16189, 630, 32, 22562, 81, 4295, 81, 1170, 81, 426, 280, 2149, 291, 630, 32, 32997, 81, 1170, 81, 426, 280, 2149, 291, 630, 32, 2999, 81, 32997, 280, 225, 34, 291, 630, 32, 3140, 81, 5961, 101, 280, 225, 34, 291, 436, 34740, 328, 894, 81, 2358, 993, 32, 1006, 47445, 32, 14886, 19419, 32, 2810, 2262, 324, 630, 32, 4882, 81, 1170, 81, 2358, 367, 77, 2358, 367, 79, 280, 739, 346, 291, 436, 24253, 328, 894, 81, 2358, 993, 32, 1006, 47445, 32, 4804, 39723, 32, 2810, 2262, 324, 630, 32, 4882, 81, 1170, 81, 16471, 77, 16471, 79, 280, 40836, 32, 371, 81, 4882, 81, 1793, 81, 16471, 26, 16471, 27, 291, 630, 32, 20157, 81, 4882, 280, 739, 346, 291, 630, 32, 1146, 12828, 280, 3177, 284, 665, 1015, 26, 784, 30, 894, 81, 1267, 30, 2799, 30, 894, 81, 297, 81, 20157, 711, 291, 630, 32, 4882, 81, 1170, 81, 2358, 367, 77, 858, 81, 1267, 32, 681, 997, 669, 26, 858, 81, 1267, 32, 858, 81, 426, 27, 291, 630, 32, 4295, 81, 1170, 81, 426, 77, 858, 81, 1267, 32, 858, 81, 426, 79, 280, 894, 81, 1267, 291, 415, 894, 81, 1267, 32, 681, 863, 894, 81, 2358, 993, 32, 23029, 44, 324, 630, 32, 464, 81, 4295, 32, 1689, 26, 858, 81, 1267, 27, 291, 630, 32, 18233, 5912, 225, 35, 291, 415, 2069, 26, 858, 81, 1267, 32, 32997, 711, 324, 630, 32, 2999, 81, 32997, 1454, 225, 35, 324, 630, 32, 32997, 81, 1170, 81, 426, 77, 858, 81, 1267, 32, 858, 81, 426, 79, 280, 894, 81, 1267, 32, 32997, 291, 415, 2799, 44, 324, 630, 32, 3140, 1454, 225, 35, 324, 415, 894, 81, 1267, 32, 681, 610, 894, 81, 2358, 993, 32, 23029, 44, 400, 630, 32, 3140, 81, 5961, 101, 1454, 225, 35, 291, 813, 44, 324, 630, 32, 22562, 81, 4295, 81, 1170, 81, 426, 77, 858, 81, 1267, 32, 858, 81, 426, 79, 280, 894, 81, 1267, 324, 630, 32, 22562, 1454, 225, 35, 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, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 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, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 4, 4, 5, 5, 5, 10, 10, 10, 9, 10, 10, 8, 9, 9, 7, 8, 7, 5, 5, 10, 11, 11, 11, 11, 11, 11, 9, 10, 10, 9, 8, 8, 10, 4, 4, 5, 5, 5, 10, 10, 10, 9, 10, 10, 8, 9, 9, 7, 8, 7, 5, 5, 10, 11, 11, 11, 11, 11, 9, 10, 9, 8, 8, 10, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 9, 10, 8, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 4, 4, 8, 9, 9, 9, 9, 9, 7, 9, 9, 9, 8, 9, 9, 9, 7, 6, 6, 7, 7, 4, 4, 5, 8, 8, 7, 8, 6, 6, 8, 8, 8, 7, 8, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 6, 6, 7, 4, 4, 5, 7, 9, 9, 9, 8, 9, 7, 5, 5, 9, 10, 10, 10, 8, 8, 9, 6, 6, 10, 11, 11, 11, 11, 11, 9, 11, 11, 11, 10, 11, 11, 11, 9, 8, 8, 10, 10, 9, 10, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 9, 6, 6, 7, 10, 10, 9, 10, 8, 8, 10, 10, 10, 9, 10, 7, 7, 7, 11, 12, 12, 12, 12, 10, 10, 11, 5, 5, 6, 6, 6, 11, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 11, 12, 12, 12, 10, 9, 9, 10, 10, 7, 7, 10, 11, 9, 9, 10, 7 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 4, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 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, 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, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 4, 4, 16, 16, 16, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 16, 16, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 4, 4, 17, 17, 17, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 17, 17, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 7, 7, 7, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 4, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 4, 4, 5, 5, 5, 5, 0, 2, 0, 0, 2, 3, 3, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 5, 5, 4, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2 ]
[ 465, 316, 203, 465, 5237, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 9897, 2958, 657, 203, 465, 1133, 203, 465, 5741, 203, 465, 2322, 32, 983, 203, 465, 11921, 1299, 619, 11921, 203, 465, 6436, 619, 2065, 203, 1070, 24903, 9763, 54, 1188, 24903, 9763, 54, 203, 1070, 456, 17546, 81, 11030, 1188, 456, 17546, 81, 311, 1019, 203, 1070, 3363, 81, 1040, 1188, 27062, 26234, 3853, 30, 1565, 13209, 26234, 3853, 30, 2398, 2230, 1862, 203, 1070, 1359, 81, 1040, 1188, 3185, 81, 1132, 30, 622, 81, 17141, 81, 983, 30, 3185, 81, 29506, 203, 9544, 81, 26468, 1392, 280, 330, 6452, 299, 25, 203, 9544, 81, 17151, 3655, 70, 280, 330, 359, 13209, 31, 84, 385, 102, 25, 203, 589, 11656, 81, 605, 26, 1132, 711, 284, 5254, 81, 891, 280, 2181, 32, 1163, 32, 371, 410, 463, 3239, 370, 330, 4432, 81, 891, 683, 284, 1929, 81, 3864, 280, 2181, 32, 1163, 32, 371, 410, 463, 1004, 370, 330, 1516, 81, 3864, 683, 284, 1929, 81, 3864, 81, 11030, 280, 2181, 32, 1163, 32, 371, 410, 463, 1004, 370, 330, 1516, 81, 3864, 81, 11030, 683, 284, 1929, 81, 35287, 81, 1823, 280, 2181, 32, 1163, 32, 371, 410, 463, 1004, 370, 330, 1516, 81, 35287, 81, 1823, 683, 284, 3219, 81, 85, 280, 41449, 94, 23, 86, 81, 1664, 81, 85, 21735, 94, 30, 308, 4432, 81, 891, 30, 1929, 81, 3864, 490, 436, 456, 328, 2155, 26, 1516, 81, 35287, 81, 1823, 2177, 284, 415, 1929, 81, 3864, 81, 11030, 848, 225, 34, 44, 291, 3219, 81, 90, 280, 41449, 94, 23, 86, 81, 1664, 81, 90, 21735, 94, 30, 308, 4432, 81, 891, 30, 1929, 81, 3864, 81, 11030, 490, 436, 456, 328, 2155, 26, 1516, 81, 35287, 81, 1823, 2177, 284, 813, 44, 291, 3219, 81, 90, 280, 41449, 94, 23, 86, 81, 1664, 81, 90, 21735, 94, 30, 308, 4432, 81, 891, 30, 1929, 81, 3864, 490, 436, 456, 328, 2155, 26, 1516, 81, 35287, 81, 1823, 2177, 284, 3219, 81, 10615, 280, 3219, 81, 85, 474, 3219, 81, 90, 284, 803, 81, 3239, 280, 2181, 32, 1163, 32, 371, 463, 605, 370, 330, 3239, 683, 284, 803, 81, 1902, 280, 2181, 32, 1163, 32, 371, 463, 605, 370, 330, 1902, 683, 284, 803, 81, 1643, 280, 2181, 32, 1163, 32, 371, 463, 605, 370, 330, 1643, 683, 284, 21262, 81, 3534, 280, 2181, 32, 1163, 32, 371, 410, 463, 605, 370, 330, 3078, 449, 683, 284, 5683, 81, 605, 81, 1132, 280, 301, 324, 313, 9873, 81, 7190, 563, 225, 37, 36, 41, 40, 42, 30, 324, 313, 9980, 81, 761, 563, 803, 81, 3239, 30, 324, 313, 761, 81, 1643, 563, 803, 81, 1643, 30, 324, 313, 43683, 81, 4446, 563, 2933, 324, 320, 284, 5684, 81, 605, 81, 1132, 280, 301, 324, 313, 9873, 81, 7190, 563, 225, 37, 36, 41, 40, 42, 30, 324, 313, 9980, 81, 761, 563, 803, 81, 1902, 30, 324, 313, 761, 81, 1643, 563, 803, 81, 1643, 30, 324, 313, 43683, 81, 4446 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 4, 5, 3, 4, 3, 4, 3, 3, 5, 5, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 8, 8, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 8, 8, 6, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 8, 8, 8, 7, 7, 8, 8, 7, 5, 6, 6, 6, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 5, 5, 5, 5, 4, 4, 5, 3, 3, 3, 7, 7, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 10, 8, 8, 10, 10, 10, 9, 9, 10, 10, 10, 10, 9, 7, 8, 8, 8, 10, 11, 11, 11, 11, 11, 10, 3, 3, 4, 4, 4, 8, 8, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 11, 9, 9, 11, 11, 11, 10, 10, 11, 11, 10, 8, 9, 9, 9, 11, 12, 12, 12, 12, 12, 11, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 6, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 6, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 6, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 6, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 8, 8, 6, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 7, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 7, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 0, 6, 6, 0, 1, 1, 0, 7, 7, 1, 1, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 0, 10, 10, 0, 0, 10, 10, 0, 0, 0, 10, 10, 0, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 0, 0, 0, 0, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 1, 1, 1 ]
[ 1070, 48885, 38, 32, 30609, 1188, 319, 203, 1070, 48885, 38, 32, 37571, 1188, 319, 203, 1070, 3498, 32, 4627, 1188, 6926, 203, 1070, 38767, 1188, 5548, 1074, 13976, 203, 823, 624, 752, 18365, 31777, 1572, 26, 35831, 13976, 711, 275, 665, 622, 3196, 73, 752, 18365, 101, 26, 784, 711, 276, 33199, 101, 280, 1605, 276, 2698, 280, 225, 34, 276, 2218, 308, 784, 32, 8599, 4544, 73, 752, 18365, 101, 32, 1160, 922, 1094, 26, 643, 30, 34, 8531, 1802, 909, 280, 630, 32, 8599, 4544, 73, 752, 18365, 101, 32, 1160, 922, 1094, 26, 643, 30, 34, 547, 878, 346, 1802, 33199, 101, 32, 1689, 26, 695, 27, 1802, 2698, 280, 2698, 474, 225, 35, 276, 442, 33199, 101, 275, 665, 2503, 8589, 73, 752, 18365, 101, 26, 784, 711, 276, 5881, 19810, 461, 2503, 3304, 29771, 18365, 5881, 13105, 33199, 101, 280, 630, 32, 2250, 32, 371, 22491, 31777, 101, 440, 33677, 18365, 101, 657, 13105, 1542, 280, 1910, 8090, 1097, 1243, 26, 35, 30, 35, 27, 276, 1542, 32, 41132, 2644, 1097, 26, 34, 30, 67, 8090, 1097, 463, 31777, 6374, 2847, 276, 1929, 280, 225, 34, 276, 436, 33199, 328, 33199, 101, 44, 1802, 28312, 31777, 280, 1910, 8090, 1097, 26, 33199, 27, 1802, 1542, 32, 19336, 26, 1929, 30, 225, 34, 30, 28312, 31777, 829, 1802, 1929, 280, 1929, 474, 225, 35, 276, 630, 32, 8599, 8589, 73, 752, 18365, 101, 32, 42764, 26, 1160, 27, 276, 630, 32, 8599, 8589, 73, 752, 18365, 101, 32, 46480, 2101, 26, 67, 5584, 1097, 1074, 32, 14861, 5374, 27, 276, 630, 32, 8599, 8589, 73, 752, 18365, 101, 32, 8510, 7627, 705, 8041, 346, 275, 665, 2503, 4544, 73, 752, 18365, 101, 26, 784, 711, 276, 5881, 19810, 461, 2503, 5412, 624, 752, 18365, 701, 3749, 101, 9592, 276, 33199, 101, 280, 630, 32, 2250, 32, 371, 31777, 14813, 440, 33677, 18365, 101, 657, 13105, 1542, 280, 1910, 8090, 1097, 1243, 26, 35, 30, 35, 27, 276, 1542, 32, 41132, 2644, 1097, 26, 34, 30, 67, 8090, 1097, 463, 31777, 6374, 2847, 276, 1929, 280, 225, 34, 276, 436, 33199, 328, 33199, 101, 44, 1802, 28312, 31777, 280, 1910, 8090, 1097, 26, 33199, 32, 426, 829, 202, 1802, 1542, 32, 19336, 26, 1929, 30, 225, 34, 30, 28312, 31777, 829, 1802, 1929, 280, 1929, 474, 225, 35, 276, 630, 32, 8599, 4544, 73, 752, 18365, 101, 32, 42764, 26, 1160, 27, 276, 630, 32, 8599, 4544, 73, 752, 18365, 101, 32, 46480, 2101, 26, 67, 5584, 1097, 1074, 32, 14861, 5374, 27, 276, 630, 32, 8599, 4544, 73, 752, 18365, 101, 32, 8510, 7627, 705, 8041, 346, 275, 665, 5169, 1934, 73, 752, 18365, 101, 26, 784, 711, 276, 5881, 2222, 1169, 3304, 29771, 18365, 101, 372, 5412, 9592, 276, 2698, 280, 225, 34, 276, 2218, 26, 630, 32, 8599, 8589, 73, 752, 18365, 101, 32, 1160, 922, 1094, 26, 643, 30, 34, 8531, 1802, 33199, 4222, 202, 47, 630, 32, 8599, 8589, 73, 752, 18365, 101, 32, 1160, 922, 1094, 26, 643, 30, 34, 547, 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, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 4, 4, 6, 6, 7, 4, 4, 5, 12, 11, 12, 12, 12, 12, 12, 12, 10, 11, 10, 9, 8, 9, 8, 9, 8, 5, 5, 8, 8, 15, 16, 16, 16, 16, 16, 16, 14, 15, 14, 13, 12, 13, 12, 13, 12, 11, 10, 6, 6, 10, 9, 10, 9, 10, 9, 6, 6, 8, 8, 9, 9, 10, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 8, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 4, 4, 6, 6, 7, 4, 4, 5, 5, 5, 6, 5, 5, 5, 9, 8, 8, 10, 10, 10, 10, 10, 6, 6, 9, 10, 9, 9, 9, 9, 10, 9, 9, 10, 9, 6, 6, 8, 8, 9, 9, 10, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 9, 9, 9, 9, 8, 9, 9, 7, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 8, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 9, 9, 9, 9, 11, 11, 11, 4, 4, 6, 6, 7, 4, 4, 5, 5, 5, 6, 5, 5, 5, 9, 8, 8, 10, 10, 10, 10, 11, 12, 10, 6, 6, 6, 9, 10, 9, 9, 9, 9, 10, 9, 9, 10, 9, 6, 6, 8, 8, 9, 9, 10, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 9, 9, 9, 9, 8, 9, 9, 7, 4, 4, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 7, 4, 4, 6, 6, 11, 12, 12, 12, 12, 12, 12, 10, 11, 10, 9, 8, 9, 8, 9, 8, 5, 5, 8, 8, 8, 8, 15, 16, 16, 16, 16, 16, 16, 14, 15, 14, 13, 12, 13, 12, 13, 12, 11 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 4, 4, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 3, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 3, 1, 2, 1, 3, 3, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 4, 4, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 5, 5, 5, 3, 5, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 5, 5, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 5, 5, 5, 3, 5, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 5, 5, 5, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 5, 5, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 3, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 3, 1, 2 ]
[ 1070, 309, 836, 101, 1188, 319, 203, 1070, 309, 836, 101, 32, 1580, 1188, 5675, 203, 823, 4851, 5392, 26, 14923, 13976, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1984, 30, 1115, 5321, 711, 291, 2043, 280, 5675, 26, 965, 30, 1115, 5321, 27, 291, 630, 3667, 1580, 505, 280, 2043, 284, 665, 622, 81, 2386, 26, 784, 30, 636, 711, 291, 442, 630, 3667, 1580, 9818, 5792, 32, 1297, 26, 426, 27, 284, 665, 622, 81, 3868, 26, 784, 30, 636, 711, 291, 442, 630, 3667, 1580, 9818, 5792, 32, 1297, 26, 426, 27, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 15390, 26, 784, 3667, 1580, 8223, 284, 665, 1156, 32110, 3207, 784, 30, 636, 711, 291, 21513, 280, 636, 32, 15990, 463, 505, 683, 461, 636, 32, 20643, 463, 505, 683, 291, 415, 21513, 44, 324, 442, 630, 3667, 2665, 505, 77, 426, 79, 291, 813, 44, 324, 442, 18623, 26, 784, 3667, 1580, 9818, 2122, 30, 636, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 8, 8, 10, 8, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 9, 10, 10, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 9, 10, 10, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 9, 11, 11, 7, 7, 9, 10, 9, 11, 11, 4, 4, 5, 5, 5, 5, 7, 9, 10, 10, 8, 9, 8, 5, 5, 6, 6, 6, 8, 10, 13, 12, 13, 13, 12, 10, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 0, 1, 2, 2, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 4, 4, 4, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 6314, 203, 465, 2771, 2872, 203, 465, 13625, 203, 465, 19493, 203, 465, 13539, 761, 203, 1270, 44, 284, 1188, 323, 108, 36, 284, 3555, 323, 108, 36, 284, 617, 31610, 36, 81, 22471, 280, 2933, 203, 7343, 29986, 44, 284, 617, 31610, 36, 81, 22471, 280, 3177, 203, 1270, 44, 284, 1188, 456, 108, 934, 284, 3555, 456, 108, 934, 284, 617, 33630, 1400, 81, 22471, 280, 2933, 203, 7343, 29986, 44, 284, 617, 33630, 1400, 81, 22471, 280, 3177, 203, 1270, 44, 284, 645, 26355, 1188, 622, 98, 3046, 404, 203, 7343, 29986, 44, 284, 622, 98, 3046, 404, 280, 1665, 203, 1270, 44, 284, 645, 30666, 1188, 622, 771, 21140, 203, 7343, 29986, 44, 284, 622, 771, 21140, 280, 1665, 203, 505, 464, 505, 280, 3037, 2991, 761, 2067, 392, 313, 2991, 761, 392, 313, 2991, 2816, 392, 313, 13348, 738, 269, 392, 313, 2991, 392, 313, 2991, 36, 392, 2607, 313, 2991, 3242, 392, 313, 1500, 392, 313, 100, 41718, 392, 313, 924, 392, 313, 11506, 974, 924, 392, 2607, 313, 2650, 924, 392, 313, 2682, 81, 8929, 392, 313, 371, 81, 8929, 81, 17213, 392, 2607, 313, 3317, 81, 8929, 81, 1643, 392, 313, 28402, 81, 8929, 81, 1643, 392, 2607, 313, 371, 81, 15404, 81, 17213, 392, 313, 3317, 81, 15404, 81, 1643, 392, 2607, 313, 28402, 81, 15404, 81, 1643, 392, 313, 15404, 81, 8929, 392, 2607, 313, 3617, 81, 15719, 392, 313, 43231, 392, 313, 7900, 392, 313, 371, 81, 16914, 81, 891, 392, 2607, 313, 8518, 974, 924, 1446, 203, 823, 3081, 26, 65, 21887, 711, 284, 3097, 203, 823, 18993, 974, 924, 26, 924, 711, 203, 823, 17981, 974, 924, 26, 65, 21887, 711, 203, 823, 6779, 924, 26, 65, 21887, 711, 203, 823, 4841, 924, 26, 65, 21887, 711, 203, 823, 20734, 924, 26, 984, 711, 203, 589, 1933, 761, 2067, 26, 88, 1617, 30, 296, 6298, 30, 3104, 47, 35, 40, 28, 35, 34, 36, 38, 711, 284, 2218, 225, 35, 44, 291, 4845, 280, 296, 1617, 32, 850, 26, 1322, 27, 291, 415, 646, 4845, 44, 324, 1626, 291, 296, 6298, 32, 1821, 26, 1954, 27, 203, 589, 617, 8786, 761, 26, 1617, 30, 7112, 711, 284, 415, 19326, 26, 500, 32, 983, 30, 330, 8786, 761, 7831, 291, 1596, 44, 324, 442, 2322, 32, 983, 32, 8786, 761, 26, 1617, 30, 7112, 27, 291, 2940, 546, 21887, 44, 324, 442, 3177, 284, 442, 308, 500, 32, 983, 32, 7927, 1732, 26, 500, 32, 983, 32, 21379, 26, 1617, 490, 610, 324, 2322, 32, 983, 32, 7927, 1732, 26, 500, 32, 983, 32, 21379, 26, 6298, 2610, 203, 589, 1933, 761, 26, 1617, 30, 7112, 30, 9305, 1976, 81, 5815, 696, 29255, 47, 1815, 711, 284, 415, 617, 8786, 761, 26, 1617, 30, 7112, 711, 291, 3636, 18993, 974, 924, 15062, 19, 100, 111, 461, 15466, 100, 111, 884, 322, 2432, 803, 2296, 1643, 26, 1617, 30, 7112, 490, 284, 436, 2771, 328, 428, 1617, 30, 7112, 2786, 291, 1596, 44, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 5, 5, 2, 2, 3, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 0, 1, 1, 1, 1, 3, 5, 5, 2, 2, 3, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 0, 1, 1, 1, 1, 3, 3, 3, 5, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 0, 1, 1, 1, 1, 3, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 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, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 0, 1, 1, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 0, 1, 1, 2, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 3, 5, 5, 4, 5, 5, 5, 5, 2, 1, 1, 3, 4, 3, 3, 3, 6, 6, 9, 8, 9, 8, 9, 8, 4, 4, 5, 6, 5, 5, 5, 4, 4, 8, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 7, 6, 7, 5, 5, 7, 7, 7, 3, 3, 5, 5, 5, 7, 10, 11, 9, 10, 10, 9, 10, 9, 9, 9, 5, 5, 6, 7, 6, 6, 6, 8, 2, 2, 3, 9, 8, 9, 7, 8, 8, 7, 11, 10, 11, 9, 10, 9, 10, 9, 5, 5, 5, 8, 9, 7, 8, 8, 7, 11, 10, 11, 9, 10, 9, 10, 9, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 1, 1, 3, 5, 5, 5, 6, 5, 5, 5, 3, 3, 5, 7, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 9, 9, 9, 2, 2, 3, 3, 3, 5, 4, 4, 4, 3, 3, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 7, 7, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 7, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 8, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 10, 10, 10, 10, 0, 0, 0, 0, 0, 10, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 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, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 12, 12, 2, 1, 1, 2, 12, 12, 0, 13, 13, 1, 1, 2, 1, 2, 0, 14, 14, 1, 1, 2, 1, 1, 2, 0, 15, 15, 1, 2, 1, 1, 2, 0, 16, 16, 1, 2, 1, 1, 2, 0, 17, 17, 1, 2, 1, 2, 0, 18, 18, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 5, 0, 0, 2, 2, 2, 2, 2, 2, 18, 18, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 0, 19, 19, 1, 1, 2, 1, 2, 2, 2, 19, 19, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 0, 4, 4, 1, 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, 0, 20, 20, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 7, 2, 2, 20, 20, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0 ]
[ 465, 3995, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 1188, 8616, 203, 1070, 13134, 32, 7982, 1188, 45158, 203, 1070, 13134, 1188, 8607, 619, 3279, 203, 823, 37438, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 19833, 711, 291, 630, 1114, 19833, 280, 16682, 284, 665, 540, 4849, 26, 784, 711, 291, 442, 3995, 32, 11447, 26, 784, 1114, 19833, 27, 203, 823, 19072, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 7782, 2132, 711, 291, 630, 1114, 7782, 2132, 280, 15223, 2132, 284, 665, 1156, 1731, 3207, 784, 711, 291, 2218, 2933, 44, 324, 6761, 301, 93, 44, 354, 32, 100, 4849, 346, 436, 831, 30, 354, 328, 630, 1114, 7782, 2132, 32, 3028, 9741, 203, 589, 45158, 81, 24047, 81, 88, 966, 26, 107, 30, 533, 98, 30, 296, 966, 711, 284, 11828, 30, 12867, 30, 361, 280, 3279, 32, 23299, 81, 15617, 26, 107, 30, 533, 98, 27, 284, 4644, 280, 308, 4426, 2511, 296, 966, 27, 284, 442, 45158, 26, 4426, 77, 7127, 614, 12867, 77, 7127, 1130, 203, 589, 296, 887, 26, 29904, 30, 5122, 30, 10084, 47, 2356, 32, 5267, 711, 284, 5273, 280, 10084, 284, 1596, 44, 291, 436, 298, 328, 5122, 44, 324, 296, 30, 38498, 280, 25110, 14605, 98, 27, 324, 415, 296, 333, 5273, 44, 400, 5273, 280, 296, 400, 6761, 5273, 30, 298, 30, 38498, 284, 2940, 21300, 19497, 44, 291, 3097, 203, 6193, 81, 1166, 280, 19072, 26, 11218, 81, 3306, 280, 8616, 32, 10586, 26, 35, 87, 31, 37, 30, 225, 35, 429, 225, 35, 32, 34, 35, 87, 31, 37, 471, 353, 310, 81, 37491, 280, 37438, 26, 39, 34, 30, 225, 35, 34, 34, 30, 225, 36, 34, 34, 471, 353, 1769, 81, 6299, 280, 37438, 26, 35, 30, 225, 36, 30, 225, 37, 471, 353, 1361, 3287, 280, 8616, 32, 10586, 26, 35, 87, 31, 37, 30, 225, 35, 429, 225, 35, 32, 34, 35, 87, 31, 37, 490, 203, 4918, 81, 1166, 280, 19072, 26, 96, 81, 37491, 280, 37438, 26, 36, 34, 34, 30, 225, 38, 34, 34, 30, 225, 42, 34, 34, 30, 225, 35, 40, 34, 34, 471, 353, 1847, 81, 7088, 81, 2998, 280, 37438, 26, 35, 30, 225, 36, 30, 225, 38, 471, 353, 29502, 280, 37438, 463, 1523, 91, 370, 330, 19512, 11368, 370, 330, 1338, 19512, 1425, 353, 1769, 81, 5905, 280, 37438, 463, 2837, 1425, 353, 310, 81, 10331, 280, 37438, 26, 36, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 8, 9, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 5, 8, 11, 10, 10, 12, 13, 13, 12, 9, 10, 11, 11, 10, 10, 13, 14, 14, 12, 13, 12, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 7, 6, 6, 7, 6, 2, 2, 4, 4, 7, 6, 6, 7, 5, 2, 2, 3, 5, 7, 6, 7, 6, 5, 6, 7, 6, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 3, 5, 4, 5, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 5, 5, 5, 5, 5, 5, 9, 9, 8, 8, 10, 12, 10, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 8, 8, 10, 11, 11, 11, 11, 3, 3, 4, 5, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 5, 5, 7, 8, 7, 8, 8, 8, 8, 7, 7, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 6, 6, 5, 5, 7, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 6, 6, 5, 5, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 6, 5, 5, 7, 8, 7, 8, 8, 8, 8, 7, 7, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 7, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 5, 5, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 4, 4, 6, 6, 6, 6, 5, 5, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 5, 5, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 4, 4, 6, 6, 5, 5, 7, 9, 9, 4, 4, 6, 6, 5, 5, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 4, 4, 3, 3, 0, 5, 5, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 6, 6, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 1, 1, 2, 2, 4, 4, 2, 1, 0, 1, 2, 1, 1, 3, 2, 3, 0, 8, 8, 1, 2, 1, 2, 2, 2, 2, 5, 0, 2, 2, 2, 8, 8, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 3, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 1, 0, 0, 5, 5, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 0, 7, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 7, 1, 1, 1, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 5, 5, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 7, 7, 1, 1, 2, 1, 1, 0, 0, 9, 9, 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 ]
[ 465, 5237, 203, 465, 622, 2215, 203, 465, 316, 203, 465, 47223, 203, 6844, 81, 1253, 280, 225, 34, 203, 589, 2575, 2262, 284, 1596, 44, 291, 6410, 30, 2181, 280, 622, 2215, 32, 30226, 26, 3731, 32, 6118, 77, 35, 23751, 313, 10663, 657, 284, 2940, 622, 2215, 32, 731, 619, 3124, 44, 291, 6886, 26, 2076, 27, 291, 442, 225, 36, 284, 436, 337, 30, 312, 328, 6410, 44, 291, 415, 337, 610, 4825, 90, 563, 324, 1459, 4064, 1427, 8223, 324, 442, 291, 415, 337, 610, 4825, 95, 563, 324, 3649, 6959, 81, 1253, 324, 6959, 81, 1253, 280, 225, 35, 284, 415, 646, 2181, 44, 291, 6886, 440, 269, 6225, 1591, 803, 2793, 438, 2129, 657, 291, 442, 225, 36, 284, 415, 2181, 77, 35, 44, 2786, 291, 5237, 32, 8228, 32, 1821, 4912, 101, 44, 6717, 803, 4209, 10302, 78, 96, 392, 5237, 32, 6118, 77, 34, 1130, 284, 11685, 280, 1491, 19991, 26, 1132, 77, 34, 1130, 284, 415, 11685, 438, 1665, 44, 291, 442, 225, 35, 284, 2276, 280, 1149, 26, 19991, 32, 3494, 1157, 284, 415, 646, 2276, 44, 291, 1459, 440, 2023, 39115, 20654, 11685, 1491, 645, 392, 2181, 77, 34, 1130, 291, 442, 284, 2276, 32, 3323, 346, 284, 4323, 280, 1665, 284, 436, 4870, 328, 2276, 44, 291, 816, 280, 2164, 26, 3607, 30, 11685, 77, 3607, 1130, 291, 4323, 280, 4323, 556, 816, 284, 442, 4323, 203, 589, 6886, 26, 2076, 711, 284, 5237, 32, 8228, 32, 1821, 4912, 101, 44, 904, 101, 78, 96, 20, 904, 308, 3731, 32, 6118, 77, 34, 614, 3124, 490, 284, 5237, 32, 8228, 32, 1821, 440, 6772, 44, 904, 101, 9650, 95, 79, 11685, 78, 96, 20, 904, 5237, 32, 6118, 77, 34, 1130, 284, 5237, 32, 8228, 32, 1821, 440, 8296, 26781, 101, 429, 90, 25, 436, 1829, 2471, 5327, 96, 20, 904, 5237, 32, 6118, 77, 34, 1130, 203, 21589, 280, 2884, 80, 13157, 29, 45491, 4987, 86, 29, 711, 18123, 367, 5711, 44, 313, 2607, 313, 27866, 308, 410, 110, 3222, 110, 1808, 110, 11476, 27, 20654, 22, 657, 203, 589, 1491, 19991, 26, 19991, 761, 711, 284, 23161, 280, 316, 32, 6993, 26, 21589, 27, 284, 1596, 44, 291, 296, 280, 2156, 26, 19991, 761, 27, 284, 2940, 45338, 619, 3124, 44, 291, 5237, 32, 8228, 32, 1821, 440, 3374, 1330, 2156, 44, 904, 101, 78, 96, 20, 904, 3124, 27, 291, 442, 284, 11685, 280, 2149, 284, 2218, 225, 35, 44, 291, 1628, 280, 296, 32, 25637, 346, 291, 415, 646, 1628, 44, 324, 1626, 291, 345, 280, 23161, 32, 2872, 26, 928, 27, 291, 415, 646, 345, 44, 324, 415, 1628, 32, 1809, 440, 23465, 657, 2377, 225, 34, 44, 400, 5237, 32, 8228, 32, 1821, 440, 5711, 44, 10302, 1509, 313, 474, 1628, 27, 324, 4036, 291, 4870, 30, 39997, 30, 2769, 280, 345, 32, 6332, 346, 291, 1149, 280, 11685, 32, 371, 26, 3607, 27, 291, 415, 1149, 438, 1665, 44, 324, 11685, 77, 3607, 79, 280, 1149, 280, 1605, 291, 1149, 32, 1689, 1162 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 1, 1, 3, 3, 3, 7, 7, 6, 6, 9, 8, 9, 8, 11, 10, 11, 9, 11, 10, 8, 10, 10, 3, 3, 4, 7, 6, 7, 5, 5, 4, 4, 4, 8, 9, 8, 5, 5, 6, 7, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 8, 8, 5, 5, 9, 10, 10, 6, 6, 4, 4, 5, 6, 6, 8, 8, 5, 5, 7, 8, 8, 6, 6, 9, 9, 8, 8, 9, 2, 2, 3, 4, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 2, 2, 3, 4, 6, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 10, 9, 7, 9, 10, 8, 9, 8, 2, 2, 4, 4, 6, 6, 8, 7, 8, 7, 2, 2, 3, 4, 4, 3, 3, 3, 5, 6, 2, 2, 4, 4, 6, 9, 8, 9, 8, 2, 2, 3, 4, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 8, 4, 4, 2, 2, 5, 6, 5, 2, 2, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 8, 9, 8, 8, 9, 10, 9, 4, 4, 6, 6, 7, 7, 2, 2, 3, 0, 1, 1, 2, 3, 2, 1, 1, 6, 7, 5, 6, 5, 8, 8, 8, 8, 9, 9, 8, 6, 6, 10, 9, 10, 8, 9, 8, 7, 7, 2, 2, 6, 7, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 6, 6, 8, 9, 7, 8, 7, 2, 2, 6, 7, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 6, 6, 8, 9, 7, 8, 7, 0, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 2, 2, 3, 3, 3, 6, 6, 8, 9, 9, 8, 3, 3, 4, 5, 5, 4, 4, 4, 9, 10, 8, 9, 8, 11, 11, 11, 11, 11, 11, 12, 12, 11, 9, 9, 8, 5, 5, 2, 2, 4, 4, 2, 2, 3, 4, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 6, 5, 5, 5, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 6, 5, 5, 5, 7, 10, 11, 10, 12, 12, 8, 8, 9, 7, 7, 7, 12, 13, 11, 12, 11, 14, 14, 14, 14, 14, 12, 12, 11, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 9, 8, 8, 9, 9, 4, 4, 7, 8, 7 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 5, 5, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 3, 0, 0, 2, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 3, 3, 5, 5, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 3, 3, 0, 0, 0, 0, 2, 4, 4, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 4, 4, 3, 1, 0, 2, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 3, 2, 3, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 5, 1, 1, 5, 5, 5, 0, 1, 4, 4, 0, 0, 1, 0, 0, 2, 1, 4, 4, 7, 1, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 3, 3, 3, 4, 4, 0, 2, 1, 4, 4, 0, 0, 4, 4, 10, 10, 10, 10, 10, 10, 0, 0, 1, 1, 1, 1, 3, 2, 3, 5, 5, 0, 0, 2, 2, 4, 4, 11, 0, 6, 6, 2, 1, 2, 6, 6, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 2, 1, 1, 2, 8, 8, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 3, 3, 4, 4, 0, 0, 4, 4, 3, 1, 3, 3, 3, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 1, 3, 3, 3, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 6, 1, 1, 6, 6, 6, 0, 2, 0, 0, 0, 2, 2, 3, 3, 0, 2, 1 ]
[ 465, 6436, 619, 2065, 203, 823, 30786, 4711, 26, 1473, 711, 284, 665, 6915, 23218, 26, 784, 30, 816, 711, 291, 442, 225, 35, 13824, 35, 474, 2065, 32, 2832, 3736, 106, 490, 284, 665, 1156, 1664, 3207, 784, 30, 1509, 81, 5459, 30, 6826, 81, 5459, 30, 1688, 81, 5459, 30, 9608, 81, 3306, 711, 291, 630, 32, 1131, 81, 5459, 280, 1509, 81, 5459, 291, 630, 32, 3864, 81, 5459, 280, 6826, 81, 5459, 291, 630, 32, 2024, 81, 5459, 280, 1688, 81, 5459, 291, 630, 32, 9582, 81, 1131, 81, 452, 81, 3864, 280, 2065, 32, 3855, 32, 4382, 26, 34, 32, 34, 30, 630, 32, 3864, 81, 5459, 326, 31, 34, 32, 39, 30, 225, 10000, 308, 784, 32, 3864, 81, 5459, 30, 630, 32, 1131, 81, 5459, 490, 291, 630, 32, 9582, 81, 3864, 81, 452, 81, 2024, 280, 2065, 32, 3855, 32, 4382, 26, 34, 32, 34, 30, 630, 32, 2024, 81, 5459, 326, 31, 34, 32, 39, 30, 225, 10000, 308, 784, 32, 2024, 81, 5459, 30, 630, 32, 3864, 81, 5459, 490, 291, 630, 32, 6917, 280, 9608, 81, 3306, 291, 630, 32, 15297, 81, 1126, 280, 630, 32, 35237, 284, 665, 5683, 26, 784, 30, 7806, 81, 668, 30, 11420, 81, 668, 711, 291, 7806, 280, 2065, 32, 955, 26, 8075, 81, 668, 30, 15379, 887, 47, 36, 547, 70, 291, 11420, 280, 2065, 32, 955, 26, 12443, 81, 668, 30, 15379, 887, 47, 36, 547, 70, 291, 6826, 81, 8075, 280, 2065, 32, 4260, 26, 784, 32, 9582, 81, 1131, 81, 452, 81, 3864, 30, 7806, 27, 291, 6826, 81, 10931, 280, 630, 32, 15297, 81, 1126, 26, 3864, 81, 8075, 27, 291, 1158, 81, 8075, 280, 2065, 32, 4260, 26, 784, 32, 9582, 81, 3864, 81, 452, 81, 2024, 30, 6826, 81, 10931, 27, 291, 1158, 81, 10931, 280, 1158, 81, 8075, 291, 1688, 81, 6558, 280, 308, 12443, 429, 1158, 81, 10931, 27, 319, 225, 35, 291, 6826, 81, 6558, 280, 2065, 32, 4260, 26, 784, 32, 9582, 81, 3864, 81, 452, 81, 2024, 32, 70, 30, 1688, 81, 6558, 27, 319, 6826, 81, 10931, 319, 308, 35, 31, 3864, 81, 10931, 27, 291, 630, 32, 9582, 81, 3864, 81, 452, 81, 2024, 1454, 630, 32, 6917, 319, 2065, 32, 4260, 26, 2024, 81, 6558, 30, 6826, 81, 10931, 32, 70, 27, 291, 630, 32, 9582, 81, 1131, 81, 452, 81, 3864, 1454, 630, 32, 6917, 319, 2065, 32, 4260, 26, 3864, 81, 6558, 30, 7806, 32, 70, 27, 284, 665, 1420, 26, 784, 30, 7806, 81, 668, 711, 4456, 7806, 280, 2065, 32, 955, 26, 8075, 81, 668, 30, 15379, 887, 47, 36, 547, 70, 291, 6826, 81, 8075, 280, 2065, 32, 4260, 26, 784, 32, 9582, 81, 1131, 81, 452, 81, 3864, 30, 7806, 27, 291, 6826, 81, 10931, 280, 630, 32, 15297, 81, 1126, 26, 3864, 81, 8075, 27, 291, 1158, 81, 8075, 280, 2065, 32, 4260, 26, 784, 32, 9582, 81, 3864, 81, 452, 81, 2024, 30, 6826, 81, 10931, 27, 291, 1158, 81, 10931, 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, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 6, 9, 8, 8, 10, 11, 10, 12, 10, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 11, 11, 11, 9, 10, 11, 11, 11, 8, 8, 8, 8, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 11, 11, 11, 9, 10, 11, 11, 11, 8, 8, 8, 8, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 10, 9, 10, 10, 10, 9, 9, 11, 10, 11, 9, 8, 4, 4, 6, 6, 9, 10, 9, 10, 10, 10, 9, 9, 11, 10, 11, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 7, 7, 4, 4, 7, 7, 6, 6, 10, 9, 9, 10, 10, 8, 7, 7, 8, 4, 4, 7, 7, 6, 6, 10, 11, 10, 13, 12, 13, 13, 13, 13, 13, 13, 13, 11, 12, 10, 10, 11, 11, 10, 8, 8, 9, 9, 7, 7, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 7, 7, 9, 10, 9, 10, 10, 10, 9, 9, 11, 11, 10, 11, 9, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 7, 7, 9, 10, 9, 10, 10, 10, 9, 9, 10, 11, 9, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 10, 9, 10, 10, 10, 9, 9, 11, 10, 11, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 8, 4, 4, 7, 7, 6 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 9, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 5, 5, 3, 2, 2, 2, 5, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 5, 5, 3, 2, 2, 2, 5, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 2, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 3, 3, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 3, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0 ]
[ 465, 4551, 203, 465, 802, 203, 465, 7744, 203, 465, 1133, 203, 1070, 41879, 1146, 1188, 319, 203, 1070, 26313, 1188, 16332, 203, 508, 3437, 280, 330, 8670, 42, 25, 261, 203, 508, 3437, 52, 14004, 280, 225, 35, 35, 39, 36, 34, 34, 203, 823, 1995, 44, 284, 5102, 81, 891, 280, 225, 35, 39, 284, 1929, 81, 15047, 280, 225, 37, 34, 284, 1778, 81, 9771, 280, 7446, 284, 1778, 81, 1700, 81, 643, 280, 225, 34, 45, 284, 1105, 280, 4551, 32, 2948, 346, 284, 6573, 81, 11702, 280, 2149, 284, 665, 1156, 1664, 3207, 784, 30, 6514, 711, 291, 6514, 32, 1311, 440, 1192, 3020, 37, 34, 42, 34, 1658, 35936, 690, 657, 291, 3118, 280, 7181, 26, 2590, 27, 291, 3118, 32, 3365, 26, 643, 47, 34, 30, 2592, 47, 34, 27, 291, 630, 32, 508, 3437, 2007, 280, 892, 1881, 346, 291, 630, 32, 508, 3437, 280, 13925, 26, 1744, 30, 878, 4502, 47, 784, 32, 508, 3437, 2007, 27, 291, 630, 32, 508, 3437, 32, 3365, 26, 643, 47, 34, 30, 2592, 47, 34, 27, 291, 630, 32, 508, 3437, 32, 2560, 26, 34, 30, 7082, 27, 291, 630, 32, 508, 3437, 32, 3215, 26, 34, 30, 508, 3437, 27, 291, 630, 32, 1640, 280, 7411, 26, 1744, 30, 1344, 347, 2961, 392, 24998, 347, 1092, 392, 2016, 47, 784, 32, 1676, 81, 3542, 27, 291, 630, 32, 1640, 32, 3365, 26, 643, 47, 34, 30, 2592, 47, 35, 27, 291, 630, 32, 3038, 2007, 280, 892, 1881, 346, 291, 630, 32, 3038, 280, 13925, 26, 1744, 30, 878, 4502, 47, 784, 32, 3038, 2007, 27, 291, 630, 32, 3038, 32, 3365, 26, 643, 47, 34, 30, 2592, 47, 36, 27, 291, 630, 32, 3038, 32, 2560, 26, 34, 30, 7082, 27, 291, 630, 32, 3038, 32, 3215, 26, 34, 2360, 59, 657, 291, 630, 32, 2714, 81, 1640, 280, 7411, 26, 1744, 30, 1344, 347, 4863, 392, 2016, 47, 784, 32, 2714, 81, 452, 81, 3542, 27, 291, 630, 32, 2714, 81, 1640, 32, 3365, 26, 643, 47, 34, 30, 2592, 47, 37, 27, 291, 630, 32, 8031, 280, 21450, 26, 2590, 30, 1861, 47, 784, 32, 3365, 81, 891, 28, 784, 32, 1516, 81, 15047, 30, 2384, 47, 784, 32, 3365, 81, 891, 28, 784, 32, 1516, 81, 15047, 27, 291, 630, 32, 8031, 32, 3365, 26, 643, 47, 35, 27, 291, 630, 32, 850, 81, 5837, 346, 284, 665, 1156, 4025, 3207, 784, 711, 291, 630, 32, 4048, 81, 850, 81, 5837, 346, 284, 665, 2156, 81, 3542, 26, 784, 711, 291, 415, 26, 630, 32, 509, 32, 29809, 346, 8063, 324, 1596, 44, 400, 630, 32, 509, 32, 2679, 346, 324, 2940, 44, 400, 595, 47, 91, 16189, 1596, 44, 324, 630, 32, 509, 280, 4551, 32, 2948, 26, 625, 47, 784, 32, 508, 3437, 2007, 32, 371, 1026, 2653, 836, 3306, 47, 508, 3437, 52, 14004, 30, 5868, 47, 35, 27, 324, 1459, 440, 3542, 2601, 6113, 474, 630, 32, 508, 3437, 2007, 32, 371, 346, 474, 5335, 13197, 15981 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 5, 2, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 10, 10, 9, 11, 10, 11, 11, 11, 8, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 7, 9, 8, 9, 7, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 7, 7, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 8, 9, 11, 11, 8, 9, 11, 11, 8, 9, 11, 10, 11, 11, 11, 8, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 9, 11, 10, 11, 11, 8, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 9, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 7, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 8, 9, 11, 11, 8, 9, 11, 10, 11, 11, 11, 11, 11, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 8, 9, 7, 9, 8, 9, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 8, 9, 12, 11, 12, 12, 12, 10, 12, 11, 12, 12, 12, 8, 8, 9, 12, 11, 12, 12, 12, 10, 12, 11, 12, 12, 12, 8, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 6, 5, 5, 7, 7, 7, 12, 13, 11, 12, 11, 7, 7, 8, 8, 8, 11, 12, 4, 4, 5, 5, 5, 9, 10, 8, 8, 10, 11, 10, 12, 11, 15, 14, 15, 15, 15, 13, 14, 13, 12, 12, 12, 11, 12, 12, 12, 12, 10, 10, 11, 12, 10, 6, 6, 9, 13, 13, 13, 11, 11, 14, 15, 15, 15, 13, 14, 13, 10, 10, 12, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 3, 3, 7, 1, 1, 1, 2, 2, 2, 7, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 3, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 3, 1, 2, 1, 5, 1, 2, 1, 7, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 3, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 0, 0, 3, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 3, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 3, 1, 2, 1, 5, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 3, 2, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 3, 3, 8, 1, 1, 1, 2, 8, 8, 0, 2, 2, 2, 2, 2, 1, 3, 3, 9, 1, 1, 2, 1, 2, 9, 9, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 3, 3, 3, 0, 2, 4, 4, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 3, 2, 2, 2, 2, 1, 1, 5, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 1070, 28520, 32, 5558, 32, 1141, 1188, 5245, 1761, 203, 465, 11220, 380, 7173, 32, 3660, 2755, 32, 3660, 2755, 619, 4395, 81, 2304, 203, 823, 5245, 2459, 26, 1711, 1761, 711, 284, 665, 1420, 26, 784, 30, 3691, 47, 2521, 30, 2899, 81, 6862, 47, 2521, 711, 291, 2599, 26, 1711, 2459, 30, 630, 547, 1945, 26, 2868, 30, 2899, 81, 6862, 27, 291, 2297, 81, 1132, 280, 630, 1114, 2795, 32, 1132, 32, 2991, 346, 291, 11220, 380, 7173, 81, 3613, 280, 2899, 81, 6862, 710, 6862, 5695, 371, 463, 1800, 380, 7173, 81, 3613, 370, 13588, 3177, 27, 291, 415, 11220, 380, 7173, 81, 3613, 44, 324, 442, 4395, 81, 2304, 32, 371, 81, 3613, 81, 605, 26, 1647, 81, 1132, 30, 3391, 313, 32597, 81, 7924, 81, 4573, 657, 291, 2297, 81, 601, 280, 630, 1114, 4526, 81, 1647, 26, 1647, 81, 1132, 47, 1647, 81, 1132, 30, 13687, 2899, 81, 6862, 47, 2795, 81, 6862, 30, 3691, 47, 2868, 27, 291, 442, 2297, 81, 601, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 4, 4, 3, 4, 4, 3, 4, 4, 2, 2, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 7, 8, 7, 7, 8, 8, 7, 4, 4, 7, 7, 6, 6, 10, 11, 9, 10, 8, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 10, 10, 9, 11, 11, 9, 8, 10, 10, 10, 10, 10, 10, 8, 8, 8, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 5, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 0, 0, 2, 2, 0, 4, 4, 1, 1, 2, 2, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 5, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 7138, 203, 1070, 13625, 1188, 31466, 203, 1070, 25312, 834, 1188, 2899, 203, 1070, 25312, 834, 32, 2304, 32, 751, 1188, 622, 81, 2795, 81, 4073, 203, 1070, 27435, 1237, 1188, 27435, 81, 5136, 81, 1237, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1199, 1188, 6716, 924, 203, 1070, 2156, 31289, 32, 31289, 32, 1237, 1188, 16964, 81, 9889, 619, 16964, 81, 9889, 81, 1237, 203, 1070, 2156, 31289, 32, 31289, 32, 4275, 1188, 19551, 924, 30, 1737, 70, 1102, 2027, 8149, 81, 48517, 75, 81, 44842, 203, 1070, 638, 12124, 1188, 19551, 10448, 30, 19551, 10448, 924, 203, 1070, 638, 34826, 1188, 316, 8592, 81, 34826, 81, 8246, 203, 1070, 2156, 31289, 32, 31289, 32, 4275, 32, 3044, 1188, 399, 1434, 2315, 299, 4292, 924, 203, 1070, 2156, 31289, 32, 31289, 32, 3378, 32, 3044, 1188, 399, 780, 100, 2690, 11199, 203, 3459, 81, 613, 1310, 12145, 280, 225, 36, 203, 4073, 280, 622, 81, 2795, 81, 4073, 4064, 426, 8223, 203, 30489, 1392, 81, 15147, 81, 18946, 280, 18623, 26, 3550, 30, 330, 5875, 81, 28185, 81, 18946, 370, 1665, 27, 203, 4602, 1405, 1345, 7225, 81, 15147, 81, 18946, 280, 18623, 26, 3550, 30, 330, 5875, 81, 28185, 81, 18946, 370, 1665, 27, 203, 823, 8073, 5297, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2280, 81, 2665, 30, 3124, 711, 291, 1137, 81, 2076, 280, 1044, 20, 19812, 2280, 4034, 109, 2763, 39905, 438, 646, 2080, 44, 301, 2076, 16054, 1643, 26, 324, 2280, 47, 2763, 81, 2665, 30, 324, 3124, 47, 2076, 291, 829, 291, 2599, 26, 3817, 5297, 30, 630, 14585, 1664, 3207, 530, 81, 2076, 27, 203, 50, 2795, 26, 3926, 47, 30489, 1392, 81, 15147, 81, 18946, 30, 1769, 81, 31039, 47, 3459, 81, 613, 1310, 12145, 27, 261, 203, 50, 14612, 81, 5136, 81, 1237, 32, 40705, 463, 1676, 31289, 32, 31289, 32, 3044, 32, 3239, 81, 823, 6667, 32, 1003, 683, 203, 589, 5683, 81, 823, 6667, 26, 9874, 81, 6572, 711, 284, 1596, 44, 291, 415, 16964, 81, 9889, 81, 1237, 32, 297, 81, 10705, 81, 9874, 81, 5898, 26, 9874, 81, 6572, 711, 324, 442, 284, 2940, 19551, 924, 44, 291, 3124, 280, 308, 324, 1044, 20, 1045, 15372, 1048, 12330, 2218, 11056, 322, 313, 324, 1044, 20, 15825, 432, 7682, 10153, 623, 14294, 301, 6572, 3845, 291, 6804, 1643, 26, 6572, 47, 9874, 81, 6572, 27, 291, 4082, 32, 3893, 26, 2076, 27, 291, 3636, 5683, 81, 823, 6667, 32, 13558, 346, 284, 1596, 44, 291, 2803, 280, 16964, 81, 9889, 81, 1237, 32, 371, 81, 10705, 81, 2795, 81, 2132, 26, 9874, 81, 6572, 27, 291, 8272, 280, 2803, 710, 10705, 81, 7899, 785, 291, 8218, 81, 314, 280, 2803, 710, 12124, 81, 314, 785, 291, 8419, 81, 314, 280, 2803, 710, 7632, 81, 314, 785, 291, 1623, 81, 314, 280, 2803, 710, 1094, 81, 314, 785, 284, 2940, 308, 6218, 924, 30, 25085, 711, 291, 3124, 280, 308, 324, 1044, 20, 1045, 1048, 12330, 2218, 30627, 19551, 7682, 313, 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, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 9, 10, 8, 8, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 0, 2, 4, 4, 6, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 6, 6, 6, 4, 1, 1, 2, 5, 5, 5, 5, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 4, 4, 4, 6, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 6, 6, 4, 4, 5, 6, 5, 5, 5, 8, 8, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 11, 10, 12, 11, 12, 12, 12, 10, 6, 6, 9, 10, 9, 10, 9, 6, 6, 7, 10, 10, 10, 9, 10, 9, 3, 3, 4, 4, 4, 7, 7, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 5, 5, 7, 7, 8, 10, 10, 10, 10, 5, 5, 8, 8, 7, 7, 8, 10, 10, 10, 10, 5, 5, 8, 8, 7, 7, 8, 10, 10, 10, 10, 5, 5, 8, 8, 7, 7, 8, 10, 10, 10, 10, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 8, 8, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 3, 3, 2, 2, 2, 2, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 10, 10, 0, 10, 10, 0, 0, 0, 0, 0, 0, 11, 11, 0, 1, 2, 1, 4, 1, 6, 11, 11, 0, 0, 0, 0, 0, 0, 12, 12, 0, 1, 2, 1, 4, 1, 6, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 17, 17, 1, 2, 1, 2, 17, 17, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 1, 18, 18, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 18, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 2, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 15798, 619, 4011, 81, 18986, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 622, 81, 725, 30, 622, 81, 7491, 203, 1070, 8527, 32, 858, 1188, 617, 1409, 28998, 619, 745, 28998, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 4705, 81, 858, 81, 9236, 30, 40688, 81, 858, 81, 9236, 203, 1070, 8527, 32, 858, 32, 858, 10996, 1188, 5582, 14003, 30, 11233, 39286, 30, 19205, 203, 1070, 8527, 32, 2304, 1188, 15798, 203, 1270, 44, 284, 1169, 203, 7343, 3270, 924, 44, 284, 645, 8527, 32, 2304, 32, 1731, 8524, 1188, 1169, 203, 505, 464, 505, 280, 2726, 36115, 39286, 370, 330, 36115, 25514, 7981, 370, 330, 1945, 81, 4882, 683, 203, 3765, 81, 9856, 280, 330, 4882, 25, 203, 1409, 28998, 2301, 14003, 280, 5582, 14003, 346, 203, 823, 18297, 39286, 26, 18986, 32, 1031, 39286, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 1188, 11685, 291, 11685, 32, 8447, 26, 324, 313, 36115, 39286, 438, 12687, 45, 561, 1182, 8904, 438, 328, 2452, 19616, 1708, 444, 645, 3319, 39286, 392, 324, 28855, 685, 22359, 5711, 291, 829, 291, 2599, 26, 36115, 39286, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 203, 589, 622, 81, 4882, 26, 725, 81, 1647, 711, 284, 1596, 44, 291, 1123, 81, 983, 280, 1123, 81, 1647, 3667, 426, 9818, 2998, 36909, 20129, 35, 79, 291, 894, 81, 1647, 280, 1156, 465, 505, 3949, 2473, 2524, 26, 725, 81, 983, 474, 428, 3765, 81, 9856, 5727, 6663, 6663, 5895, 81, 9856, 27, 284, 2940, 29986, 30, 484, 44, 291, 1188, 2322, 32, 983, 291, 645, 1360, 1188, 2290, 81, 1647, 291, 1596, 44, 324, 2047, 280, 2290, 81, 1647, 26, 3765, 81, 9856, 30, 428, 500, 32, 983, 32, 7781, 26, 725, 81, 1647, 3667, 761, 8223, 1130, 291, 2940, 29986, 44, 324, 894, 81, 1647, 280, 1665, 291, 813, 44, 324, 415, 2047, 77, 34, 2786, 400, 2047, 77, 34, 997, 2679, 346, 324, 3636, 284, 442, 894, 81, 1647, 203, 589, 1968, 81, 9089, 26, 725, 81, 1647, 711, 284, 313, 1922, 312, 6153, 18297, 894, 13264, 436, 322, 3943, 3022, 2297, 20, 284, 13264, 280, 15798, 32, 25514, 346, 284, 415, 19326, 26, 725, 81, 1647, 30, 330, 9089, 7831, 291, 13264, 32, 669, 1006, 26, 725, 81, 1647, 32, 9089, 1157, 284, 813, 44, 291, 13264, 32, 669, 1006, 26, 18986, 32, 1536, 1006, 4888, 32, 944, 4470, 1792, 2459, 26, 725, 81, 1647, 490, 291, 1596, 44, 324, 13264, 32, 669, 1006, 26, 1409, 28998, 32, 4216, 25514, 26, 725, 81, 1647, 30, 16329, 26664, 47, 1409, 28998, 2301, 14003, 30, 16329, 15684, 47, 4216, 39286, 490, 291, 2940, 10091, 44, 324, 3097, 284, 894, 81, 1647, 280, 622, 81, 4882, 26, 725, 81, 1647, 27, 284, 415, 894, 81, 1647, 44, 291, 415, 19326, 26, 858, 81, 1647, 30, 330, 9089, 7831, 324, 13264, 32, 669, 1006, 26, 858 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 4, 4, 2, 2, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 4, 5, 6, 5, 6, 6, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 4, 4, 7, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 7, 7, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 3, 3, 7, 7, 6, 6, 11, 11, 10, 11, 11, 10, 9, 7, 10, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 12, 11, 10, 12, 12, 12, 11, 11, 13, 13, 13, 12, 8, 8, 8, 9, 9, 8, 3, 3, 4, 4, 4, 4, 4, 4, 6, 7, 8, 5, 5, 6, 6, 6, 8, 8, 5, 5, 6, 6, 6, 9, 9, 11, 11, 11, 12, 12, 12, 11, 11, 16, 15, 16, 14, 15, 14, 16, 16, 16, 15, 16, 16, 12, 6, 6, 7, 7, 7, 7, 11, 11, 10, 10, 6, 6, 7, 7, 7, 9, 10, 11, 10, 9, 9, 14, 15, 14, 14, 13, 8, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 5, 6, 6, 6, 5, 5, 7, 7, 3, 3, 7, 8, 8, 7, 10, 10, 10, 9, 10, 9, 3, 3, 4, 4, 4, 8, 9, 9, 8, 12, 11, 12, 12, 12, 10, 11, 11, 11, 11, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 10, 11, 11, 10, 13, 13, 12, 13, 13, 12, 13, 13, 13, 12, 12, 12, 13, 14, 14, 14, 14, 12, 12, 12, 13, 14, 14, 12, 6, 6, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 8, 8, 8, 7, 7, 9, 9, 5, 5, 9, 10, 10, 9, 12 ]
[ 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 3, 3, 2, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 4, 4, 6, 6, 0, 6, 6, 0, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 8, 8, 8, 3, 3, 1, 3, 3, 3, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 12, 12, 1, 2, 0, 1, 2, 2, 2, 12, 12, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 1, 1, 2, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 7, 7, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 1, 2, 5, 5, 1, 1, 1, 0, 0, 5, 5, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 3, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 4, 4, 4, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 4, 4, 1, 1, 1, 0, 14, 14, 1, 1, 2, 1, 1, 1, 2, 14, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 4, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 5, 2, 2, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2322, 203, 465, 13092, 203, 465, 18792, 203, 1070, 20075, 32, 4538, 32, 2501, 1188, 622, 81, 1163, 81, 983, 81, 1070, 81, 2184, 203, 1070, 20075, 32, 1163, 32, 9236, 1188, 10572, 203, 1070, 20075, 32, 913, 1188, 2756, 81, 26499, 81, 20753, 203, 1070, 3312, 1188, 4395, 203, 823, 2108, 936, 49121, 1792, 2031, 26, 1473, 711, 284, 665, 894, 81, 983, 81, 1070, 81, 2184, 26, 784, 711, 291, 7842, 280, 2107, 658, 32, 7070, 370, 330, 8268, 32, 7070, 785, 291, 6410, 280, 5053, 287, 761, 950, 7842, 111, 291, 4706, 280, 10572, 32, 1070, 81, 2121, 81, 761, 36909, 291, 1201, 622, 81, 1163, 81, 983, 81, 1070, 81, 2184, 39054, 6410, 30, 4706, 27, 610, 7842, 284, 665, 894, 81, 6270, 81, 983, 81, 1070, 81, 2121, 26, 784, 711, 291, 623, 4395, 32, 2675, 32, 2665, 26, 500, 32, 12757, 711, 324, 2322, 32, 12757, 710, 5762, 42242, 81, 3539, 785, 280, 330, 658, 32, 7070, 25, 324, 4706, 280, 10572, 32, 1070, 81, 2121, 81, 761, 36909, 324, 1201, 622, 81, 1163, 81, 983, 81, 1070, 81, 2184, 39054, 6663, 4706, 27, 610, 2107, 658, 32, 7070, 785, 284, 477, 12408, 32, 1826, 32, 5961, 325, 26, 1296, 81, 26499, 81, 20753, 30, 5966, 1057, 28950, 17584, 683, 284, 665, 894, 81, 12565, 81, 983, 81, 1070, 81, 2121, 26, 784, 711, 291, 623, 4395, 32, 2675, 32, 2665, 26, 500, 32, 12757, 711, 324, 2322, 32, 12757, 710, 5762, 42242, 81, 3539, 785, 280, 330, 658, 32, 7070, 44, 8268, 32, 7070, 25, 324, 4706, 280, 10572, 32, 1070, 81, 2121, 81, 761, 36909, 324, 1201, 622, 81, 1163, 81, 983, 81, 1070, 81, 2184, 26, 400, 39552, 6663, 4706, 324, 829, 610, 2107, 658, 32, 7070, 370, 330, 8268, 32, 7070, 785, 284, 477, 12408, 32, 1826, 32, 5961, 325, 26, 1206, 2756, 81, 26499, 81, 20753, 30, 5966, 1057, 5910, 17584, 683, 284, 665, 894, 81, 12565, 81, 983, 81, 1070, 81, 2121, 81, 5910, 26, 784, 711, 291, 623, 4395, 32, 2675, 32, 2665, 26, 500, 32, 12757, 711, 324, 2322, 32, 12757, 710, 5762, 42242, 81, 3539, 785, 280, 330, 658, 32, 7070, 45, 8268, 32, 7070, 25, 324, 4706, 280, 10572, 32, 1070, 81, 2121, 81, 761, 36909, 324, 1201, 622, 81, 1163, 81, 983, 81, 1070, 81, 2184, 26, 400, 39552, 6663, 4706, 324, 829, 610, 2107, 658, 32, 7070, 370, 330, 8268, 32, 7070, 785, 284, 665, 894, 81, 12565, 81, 983, 81, 1070, 81, 2121, 81, 2988, 81, 12637, 26, 784, 711, 291, 623, 4395, 32, 2675, 32, 2665, 26, 500, 32, 12757, 711, 324, 2322, 32, 12757, 710, 5762, 42242, 81, 4065, 81, 22036, 785, 280, 25366, 25, 324, 2322, 32, 12757, 710, 5762, 42242, 81, 3539, 785, 280, 330, 85, 16406, 658, 32, 7070, 80, 41536, 35417, 45, 30919, 32, 7070, 25, 324, 4706, 280, 10572, 32, 1070, 81, 2121, 81, 761, 36909, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 6, 6, 10, 10, 10, 8, 7, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 9, 10, 9, 11, 10, 11, 9, 5, 5, 10, 11, 9, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 10, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 10, 6, 6, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 11, 11, 11, 11, 2, 2, 8, 7, 8, 6, 7, 7, 6, 7, 7, 7, 7, 7, 6, 6, 7, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 11, 12, 10, 11, 10, 12, 11, 12, 10, 6, 6, 11, 12, 10, 12, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 11, 12, 12, 12, 12, 12, 11, 7, 7, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 2, 2, 8, 7, 8, 6, 7, 7, 6, 7, 7, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 11, 12, 10, 11, 10, 12, 11, 12, 10, 6, 6, 11, 12, 10, 12, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 11, 12, 12, 12, 12, 12, 11, 7, 7, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 9, 10, 9, 11, 10, 11, 9, 5, 5, 10, 11, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 6, 6, 10, 11, 9, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 10, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 3, 3, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 5034, 32, 1163, 1188, 48923, 203, 1070, 5034, 32, 1040, 1188, 8566, 81, 24523, 30, 5742, 30, 10194, 81, 4918, 203, 8182, 81, 7789, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 4064, 761, 505, 2610, 203, 19268, 81, 3197, 280, 2322, 32, 983, 32, 2524, 26, 8182, 81, 7789, 30, 330, 2452, 683, 203, 4241, 81, 3197, 280, 2322, 32, 983, 32, 2524, 26, 8182, 81, 7789, 30, 330, 541, 370, 330, 68, 683, 203, 1405, 2849, 34252, 81, 3197, 280, 2322, 32, 983, 32, 2524, 26, 8182, 81, 7789, 30, 330, 7980, 370, 330, 84, 849, 90, 27069, 370, 330, 7980, 370, 1014, 330, 4984, 370, 330, 1356, 27275, 1286, 370, 330, 1574, 81, 5248, 683, 203, 589, 2575, 26, 9749, 711, 334, 10194, 81, 4918, 26, 9749, 27, 334, 308, 2250, 81, 426, 30, 4054, 81, 426, 27, 280, 622, 81, 4243, 81, 1070, 81, 24523, 346, 334, 415, 48923, 328, 2107, 24917, 370, 330, 4783, 12132, 284, 4450, 81, 2969, 6126, 81, 19111, 280, 2322, 32, 983, 32, 2524, 26, 8182, 81, 7789, 30, 330, 4280, 370, 330, 28950, 370, 13687, 330, 5536, 81, 2969, 6126, 81, 19111, 32, 978, 683, 284, 415, 48923, 610, 330, 24917, 950, 397, 1477, 280, 2322, 32, 983, 32, 2524, 26, 4241, 81, 3197, 30, 8930, 34, 4009, 725, 2473, 1643, 26, 2445, 81, 426, 471, 330, 8041, 370, 6029, 330, 44432, 370, 4054, 81, 426, 27, 284, 813, 44, 397, 1477, 280, 2322, 32, 983, 32, 2524, 26, 4241, 81, 3197, 30, 2074, 81, 426, 27, 284, 2181, 280, 428, 397, 11363, 1832, 31, 1515, 1279, 34, 16805, 1643, 26, 4241, 81, 3197, 471, 397, 11363, 7003, 1279, 34, 16805, 1643, 26, 1366, 471, 397, 11363, 19111, 31, 1515, 1279, 34, 16805, 1643, 26, 9749, 471, 397, 11363, 1356, 27275, 1286, 31, 1515, 1279, 34, 16805, 1643, 26, 1405, 2849, 34252, 81, 3197, 471, 397, 11363, 3815, 370, 397, 11363, 10331, 47, 35, 40, 370, 284, 1481, 334, 813, 44, 284, 4450, 81, 2969, 6126, 81, 19111, 280, 2322, 32, 983, 32, 2524, 26, 8182, 81, 7789, 30, 330, 4280, 370, 330, 4463, 370, 13687, 330, 5536, 81, 2969, 6126, 81, 19111, 32, 978, 683, 284, 2181, 280, 428, 397, 11363, 19111, 31, 1515, 1279, 34, 16805, 1643, 26, 9749, 471, 397, 11363, 10331, 47, 35, 40, 370, 397, 2322, 32, 983, 32, 2808, 983, 26, 4241, 81, 3197, 471, 284, 1481, 334, 5742, 2009, 3731, 32, 21823, 30, 4450, 81, 2969, 6126, 81, 19111, 79, 474, 2181, 27, 203, 589, 3909, 81, 3648, 81, 9685, 2262, 334, 3909, 280, 2322, 32, 983, 32, 2524, 26, 8182, 81, 7789, 30, 330, 4280, 370, 330, 4463, 370, 3775, 330, 3317, 81, 874, 5583, 42, 34, 81, 9685, 32, 754, 683, 334, 5742, 4901, 1251, 32, 8022, 370, 2322, 32, 983, 32, 2808, 983, 26, 3317, 36263, 203, 589, 622, 81, 4243, 81, 1070, 81, 24523, 2262, 334, 4886, 280, 8566, 81, 24523, 346, 334, 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, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 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, 8, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 4, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 4, 6, 6, 6, 6, 6, 4, 6, 6, 4, 4, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 6, 5, 2, 2, 6, 6, 6, 5, 5, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 7, 7, 5, 7, 7, 3, 3, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 8, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 6, 8, 8, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 14, 14, 14, 14, 13, 12, 13, 13, 13, 12, 10, 12, 12, 10, 10, 12, 12, 10, 11, 11, 10, 5, 5, 6, 6, 6, 9, 9, 12, 13, 11, 12, 11, 12, 12, 12, 11, 11, 12, 12, 11, 4, 4, 6, 6, 7, 7, 11, 11, 11, 11, 11, 11, 10, 9, 10, 10, 10, 9, 7, 7, 11, 11, 11, 11, 10, 9, 10, 9, 7, 7, 11, 11, 11, 11, 11, 11, 10, 9, 10, 9, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 10, 10, 10, 10, 9, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 3, 3, 4, 4, 4, 8, 8, 8, 8, 8, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 9, 11, 11, 9, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 7, 7, 8, 8, 12, 12, 12, 12, 12, 12, 11, 10, 11, 10, 8, 8, 10, 10, 10, 10, 10, 8, 8, 11, 12, 10, 11, 11, 10, 11, 11, 11, 10, 8, 8, 2, 2, 5, 9, 8, 9, 7, 7, 8, 8, 8, 8, 8, 7, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 8, 8, 8, 8, 6, 9, 10, 8, 9, 9, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 3, 3, 3, 3, 0, 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, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 8, 8, 2, 1, 2, 8, 8, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 9, 9, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 0, 1, 2, 0, 0, 3, 3, 3, 3, 3, 0, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 1, 4, 4 ]
[ 9592, 203, 5047, 1396, 28508, 10285, 203, 1281, 16623, 203, 23109, 2471, 2625, 3501, 19908, 645, 312, 354, 7056, 2145, 556, 203, 30049, 15107, 74, 3408, 32, 225, 5076, 529, 1363, 81, 1170, 47, 1870, 82, 308, 266, 322, 1236, 59, 803, 471, 3408, 10737, 203, 586, 2329, 4717, 328, 10879, 372, 33757, 32, 203, 2272, 3261, 1098, 11549, 372, 1491, 3488, 645, 600, 1236, 59, 803, 623, 322, 2432, 203, 1439, 4870, 415, 5024, 30, 556, 529, 34542, 32, 5930, 82, 415, 646, 32, 225, 2030, 438, 4195, 372, 1487, 203, 5815, 696, 29255, 372, 322, 17041, 3261, 372, 2193, 4609, 18353, 30, 484, 32, 89, 21190, 203, 28, 529, 34542, 32, 978, 82, 308, 578, 3261, 27, 203, 28, 529, 34542, 32, 5930, 82, 308, 1536, 3488, 30, 1098, 526, 1491, 810, 529, 34542, 32, 978, 4529, 203, 28, 529, 34542, 81, 858, 32, 978, 82, 308, 39166, 372, 529, 34542, 32, 978, 4529, 203, 28, 529, 34542, 81, 858, 32, 5930, 82, 308, 858, 3488, 30, 1098, 526, 1491, 810, 529, 34542, 81, 858, 32, 978, 4529, 203, 28, 529, 34542, 81, 2455, 32, 978, 82, 308, 39166, 372, 529, 34542, 32, 978, 1801, 1098, 1491, 529, 34542, 32, 5930, 82, 4558, 1289, 334, 529, 34542, 81, 2455, 32, 5930, 82, 5375, 27, 203, 1318, 1519, 372, 600, 1236, 59, 803, 1631, 2329, 526, 3191, 4729, 322, 529, 5047, 35291, 81, 35169, 82, 4706, 203, 4502, 30, 328, 1510, 1135, 322, 4870, 9215, 7019, 3684, 1098, 646, 4871, 32, 203, 3663, 461, 9156, 3377, 1631, 526, 3191, 4729, 322, 529, 5047, 35291, 81, 8472, 1801, 203, 82, 5047, 35291, 81, 4975, 82, 461, 529, 5047, 35291, 81, 13001, 82, 4706, 4886, 45, 3282, 2075, 1098, 203, 11814, 32787, 2288, 2075, 5024, 328, 322, 1236, 59, 803, 32, 225, 2244, 1236, 59, 803, 438, 646, 203, 3648, 415, 3282, 2075, 884, 3191, 1471, 4706, 4886, 32, 203, 9592, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 13625, 203, 465, 2361, 203, 465, 5741, 203, 465, 2919, 2208, 203, 465, 2322, 203, 465, 17778, 203, 465, 5237, 203, 465, 1133, 203, 1070, 18792, 1188, 4991, 81, 2516, 30, 1344, 81, 681, 30, 802, 81, 2516, 203, 1070, 18792, 32, 21332, 1188, 1359, 3922, 203, 1270, 44, 284, 645, 5741, 1188, 9282, 1972, 203, 7343, 29986, 44, 284, 645, 5741, 1188, 15239, 284, 443, 9282, 1972, 26, 1972, 711, 291, 665, 9533, 26, 784, 30, 3627, 711, 324, 3097, 203, 7490, 32, 10579, 463, 98, 15381, 1814, 669, 1972, 26, 1883, 1972, 1157, 203, 7490, 32, 10579, 463, 101, 836, 101, 1814, 669, 1972, 26, 1883, 1972, 1157, 203, 1070, 298, 15381, 32, 1580, 1188, 5675, 203, 1070, 298, 15381, 32, 4275, 1188, 2194, 27981, 203, 1070, 298, 15381, 32, 10886, 1409, 585, 101, 1188, 11212, 1598, 30, 13662, 7090, 30, 24428, 959, 30, 8159, 30, 12122, 12375, 2291, 203, 1070, 309, 836, 101, 32, 101, 836, 762, 585, 1188, 2194, 619, 358, 836, 101, 959, 203, 823, 42641, 12412, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 5, 1, 2, 2, 2, 2, 2, 4, 4, 4, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 8, 7, 7, 7, 6, 6, 0, 6, 5, 6, 5, 7, 7, 7, 4, 4, 3, 5, 5, 5, 0, 6, 5, 6, 5, 7, 7, 7, 7, 4, 4, 3, 5, 5, 5, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 10, 10, 0, 0, 10, 10, 0, 0, 10, 10, 0, 0, 0, 11, 11, 1, 2, 11, 11, 0, 0, 12, 12, 12, 12, 0, 0, 0, 0, 12, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 15, 15, 0, 1, 2, 15, 15, 0, 16, 16, 0, 1, 2, 16, 16, 0, 0, 17, 17, 0, 1, 2, 2, 2, 2, 17, 17, 0, 17, 17, 0, 17, 17, 0, 17, 17, 17, 17, 0, 0, 0, 18, 18, 0, 0, 1, 2, 2, 2, 2, 18, 18, 3, 3, 2, 2, 2, 0, 19, 19, 1, 2, 1, 2, 19, 19, 0, 1, 1, 1 ]
[ 465, 7744, 203, 465, 15798, 203, 1070, 420, 404, 23328, 1188, 1201, 81, 6939, 30, 5040, 81, 452, 203, 1070, 10243, 32, 3812, 32, 2402, 1188, 4107, 36, 86, 203, 823, 2108, 2863, 36, 86, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1664, 26, 784, 711, 291, 1201, 81, 6939, 26, 2863, 36, 86, 26, 35, 32, 34, 30, 225, 36, 32, 34, 547, 106, 30, 5040, 81, 452, 26, 35, 32, 34, 490, 291, 1201, 81, 6939, 26, 2863, 36, 86, 26, 35, 32, 34, 30, 225, 36, 32, 34, 547, 107, 30, 5040, 81, 452, 26, 36, 32, 34, 490, 291, 1201, 81, 6939, 26, 2863, 36, 86, 1026, 5040, 81, 452, 26, 2863, 36, 86, 26, 34, 32, 34, 30, 225, 34, 32, 34, 2610, 284, 665, 894, 81, 13707, 26, 784, 711, 291, 1201, 81, 6939, 26, 466, 26, 2863, 36, 86, 26, 35, 32, 36, 30, 225, 37, 32, 38, 3662, 5040, 81, 452, 440, 2863, 36, 86, 26, 106, 47, 35, 32, 36, 30, 533, 47, 37, 32, 38, 27, 2131, 284, 665, 894, 81, 669, 26, 784, 711, 291, 1201, 81, 6939, 26, 2863, 36, 86, 26, 35, 32, 34, 30, 225, 36, 32, 34, 27, 474, 4107, 36, 86, 26, 37, 32, 34, 30, 225, 38, 32, 34, 471, 5040, 81, 452, 26, 2863, 36, 86, 26, 38, 32, 34, 30, 225, 40, 32, 34, 2610, 284, 665, 894, 81, 1113, 26, 784, 711, 291, 1201, 81, 6939, 26, 2863, 36, 86, 26, 35, 32, 34, 30, 225, 39, 32, 34, 27, 429, 4107, 36, 86, 26, 37, 32, 34, 30, 225, 38, 32, 34, 471, 5040, 81, 452, 26, 2863, 36, 86, 3736, 36, 32, 34, 30, 225, 35, 32, 34, 2610, 284, 665, 894, 81, 13049, 81, 2445, 26, 784, 711, 291, 1201, 81, 6939, 26, 2863, 36, 86, 26, 36, 32, 34, 30, 225, 39, 32, 34, 547, 13049, 81, 2445, 26, 2863, 36, 86, 26, 37, 32, 34, 30, 225, 38, 32, 34, 3662, 5040, 81, 452, 26, 36, 40, 490, 284, 665, 894, 81, 1322, 26, 784, 711, 291, 1201, 81, 6939, 26, 2863, 36, 86, 26, 37, 32, 34, 30, 225, 38, 32, 34, 547, 1322, 1026, 5040, 81, 452, 26, 39, 32, 34, 490, 284, 665, 894, 81, 17958, 26, 784, 711, 291, 4712, 280, 4107, 36, 86, 26, 37, 32, 34, 30, 225, 38, 32, 34, 27, 291, 1201, 81, 6939, 26, 3137, 32, 17958, 26, 36, 471, 5040, 81, 452, 26, 2863, 36, 86, 26, 40, 32, 34, 30, 225, 42, 32, 34, 2610, 291, 1201, 81, 6939, 26, 3137, 30, 5040, 81, 452, 26, 2863, 36, 86, 26, 37, 32, 34, 30, 225, 38, 32, 34, 2610, 284, 665, 894, 81, 3804, 26, 784, 711, 291, 4712, 280, 4107, 36, 86, 26, 37, 32, 34, 30, 225, 38, 32, 34, 27, 291, 4712, 32, 3804, 26, 36, 32, 34, 27, 291, 1201, 81, 6939, 26, 3137, 30, 5040, 81, 452, 26, 2863, 36, 86, 26, 40, 32, 34, 30, 225, 42, 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, 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, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 10, 10, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 9, 7, 7, 9, 9, 9, 10, 10, 10, 9, 4, 4, 7, 7, 7, 10, 10, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 9, 7, 7, 9, 9, 9, 10, 10, 10, 9, 4, 4, 7, 7, 7, 9, 9, 9, 9, 7, 9, 9, 9, 11, 11, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 9, 9, 11, 11, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 7, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 10, 10, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 8, 8, 10, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 7, 9, 9, 9, 11, 11, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 10, 10, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 8, 8, 10, 10, 10, 11, 11, 11, 10, 10, 11, 11, 11, 10, 7, 9, 9, 9, 11, 11, 11, 11, 13, 13, 13, 11, 11, 12, 12, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 11, 11, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 10, 10, 10, 9, 11, 11, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 7, 9, 9, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 11, 11, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 10, 9, 7, 9, 9, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 10, 9, 10, 9, 10, 9, 7, 9, 9, 9, 11, 11, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 4, 4, 7, 7, 7, 8, 7, 7, 9, 9, 9, 11, 11, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 7, 8, 7, 7, 9, 9, 9, 11, 11, 11, 11, 12, 12, 12, 11, 11, 12, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 1, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3 ]
[ 465, 894, 4280, 203, 1070, 225, 4461, 1470, 1580, 32, 4882, 1188, 8745, 203, 1070, 225, 4461, 1470, 1580, 32, 104, 35, 1188, 22414, 203, 7100, 5857, 3057, 527, 280, 301, 284, 330, 699, 950, 330, 25837, 370, 284, 330, 6572, 950, 330, 84, 39, 35, 38, 36, 37, 37, 42, 31, 86, 42, 42, 83, 31, 38, 34, 37, 87, 31, 2882, 35, 38, 31, 87, 35, 36718, 34, 83, 37, 35, 42, 86, 36, 370, 203, 111, 203, 6037, 81, 7100, 5857, 3057, 527, 280, 301, 284, 330, 699, 950, 330, 25837, 370, 203, 111, 203, 6438, 30031, 69, 280, 301, 284, 3056, 104, 35, 33, 46005, 950, 301, 291, 330, 2788, 950, 308, 324, 6663, 324, 428, 7100, 5857, 3057, 527, 614, 291, 2588, 291, 330, 3705, 950, 308, 324, 6663, 324, 10534, 5857, 3057, 527, 30, 291, 2588, 284, 801, 284, 3056, 104, 35, 33, 46005, 9708, 101, 25, 904, 10534, 5857, 3057, 527, 710, 6572, 12132, 301, 291, 330, 2788, 950, 308, 324, 6663, 324, 10534, 5857, 3057, 527, 30, 291, 2588, 291, 330, 6691, 950, 308, 324, 6663, 324, 1665, 30, 291, 2588, 284, 801, 203, 111, 203, 823, 45071, 1572, 1006, 26, 858, 4280, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 16678, 1572, 1006, 30, 630, 547, 23741, 346, 291, 630, 32, 1237, 280, 8745, 32, 13190, 2554, 26, 6438, 30031, 69, 27, 291, 630, 32, 4018, 280, 22414, 32, 16678, 1572, 26, 784, 32, 1237, 27, 284, 665, 894, 81, 1297, 26, 784, 711, 291, 736, 280, 630, 32, 4018, 32, 1297, 14605, 6037, 81, 7100, 5857, 3057, 527, 27, 291, 1424, 280, 428, 324, 2726, 3705, 370, 3056, 104, 35, 33, 46005, 370, 6663, 20258, 81, 7100, 5857, 3057, 527, 471, 291, 1481, 291, 630, 32, 5299, 26, 784, 32, 1237, 32, 13842, 30, 1424, 27, 291, 630, 32, 6549, 26, 575, 27, 284, 665, 894, 81, 2560, 26, 784, 711, 291, 736, 280, 630, 32, 4018, 32, 2560, 26, 6572, 47, 7100, 5857, 3057, 527, 710, 6572, 3490, 291, 1424, 280, 428, 324, 2726, 6691, 370, 3056, 104, 35, 33, 46005, 9708, 101, 25, 904, 10534, 5857, 3057, 527, 710, 6572, 2188, 6663, 1665, 471, 291, 1481, 291, 630, 32, 5299, 26, 784, 32, 1237, 32, 13842, 30, 1424, 27, 291, 630, 32, 5299, 26, 575, 30, 1665, 27, 284, 665, 894, 81, 668, 26, 784, 711, 291, 736, 280, 630, 32, 4018, 32, 668, 346, 291, 1424, 280, 428, 324, 2726, 2788, 370, 3056, 104, 35, 33, 46005, 370, 6663, 1665, 471, 291, 1481, 291, 630, 32, 5299, 26, 784, 32, 1237, 32, 13842, 30, 1424, 27, 291, 630, 32, 5299, 26, 1657, 26, 575, 471, 225, 35, 27, 284, 665, 894, 81, 2245, 26, 784, 711, 291, 736, 280, 630, 32, 4018, 32, 371, 26, 6572, 47, 7100, 5857, 3057, 527, 710, 6572, 3490, 291, 1424, 280, 428, 324, 2726, 2788, 370, 3056, 104, 35, 33, 46005, 9708, 101, 25, 904, 10534, 5857, 3057, 527, 710, 6572, 2188, 6663, 1665, 471, 291, 1481, 291, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 1, 1, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 4, 5, 5, 8, 8, 6, 7, 7, 7, 7, 9, 9, 9, 9, 8, 7, 7, 5, 5, 8, 8, 6, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 5, 5, 3, 3, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 6, 8, 8, 4, 5, 5, 8, 8, 6, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 5, 5, 8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 4, 4, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 9, 8, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 9, 11, 11, 11, 11, 10, 12, 12, 4, 4, 6, 6, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 10, 12, 12, 8, 8, 8, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 4, 4, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 8, 8, 8, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 9, 11, 11, 11, 11, 10, 12, 12, 4, 4, 6, 6, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 10, 12, 12, 8, 8, 8, 7, 7, 4, 4 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 3, 2, 2, 1, 2, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 6, 6, 1, 1, 2, 0, 0, 1, 2, 2, 6, 6, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 7, 7, 7, 7, 7, 1, 2, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 4, 4 ]
[ 9592, 203, 6873, 544, 225, 37, 34, 32, 35, 34, 32, 36, 34, 35, 38, 203, 50, 2116, 44, 345, 4788, 203, 9592, 203, 1070, 281, 10640, 32, 1356, 32, 4538, 1188, 390, 10640, 2019, 203, 465, 5237, 203, 465, 5741, 203, 1070, 281, 10640, 407, 32, 1160, 32, 6173, 81, 10771, 1188, 6594, 81, 10771, 81, 1274, 9841, 284, 22646, 81, 452, 81, 104, 34, 81, 37, 30, 22646, 81, 452, 81, 104, 34, 81, 38, 30, 22646, 81, 452, 81, 104, 34, 81, 40, 203, 751, 280, 5741, 32, 10579, 463, 454, 278, 407, 683, 203, 823, 17523, 299, 5276, 26, 53, 10640, 2019, 711, 284, 5881, 66, 25219, 15500, 645, 1591, 281, 10640, 372, 4674, 284, 5652, 739, 4308, 328, 3943, 1359, 803, 44, 284, 337, 6161, 32, 295, 36, 1970, 32, 1617, 32, 454, 278, 32, 965, 351, 429, 1914, 281, 10640, 645, 1510, 996, 884, 10926, 104, 17402, 15500, 284, 337, 6161, 32, 295, 36, 1970, 32, 6298, 32, 454, 278, 32, 965, 351, 429, 8050, 281, 10640, 372, 1510, 996, 884, 35897, 322, 15500, 284, 337, 6161, 32, 295, 36, 1970, 32, 6298, 32, 454, 278, 32, 1237, 32, 678, 264, 429, 8050, 281, 10640, 4125, 1202, 5349, 436, 9156, 284, 337, 6161, 32, 295, 36, 1970, 32, 1320, 32, 20915, 32, 27421, 262, 429, 2652, 35948, 6660, 372, 526, 13436, 3701, 337, 6161, 32, 295, 36, 1970, 32, 3142, 32, 20915, 32, 27421, 264, 429, 2869, 35948, 6660, 372, 526, 13436, 284, 886, 33977, 4308, 1159, 312, 11771, 5122, 619, 19713, 284, 10484, 44, 291, 27569, 81, 3515, 894, 291, 429, 1477, 894, 688, 19408, 1914, 461, 8050, 281, 10640, 1984, 688, 884, 616, 739, 328, 3943, 1359, 803, 291, 27569, 81, 3515, 1420, 291, 429, 11187, 35897, 15500, 291, 27569, 81, 3515, 3219, 1199, 291, 429, 35934, 4581, 10343, 5349, 436, 8964, 5016, 291, 27569, 81, 3515, 22646, 81, 452, 81, 104, 34, 32, 37, 32, 34, 291, 429, 7775, 3082, 1542, 645, 354, 34, 32, 36, 32, 106, 372, 354, 34, 32, 37, 32, 34, 291, 27569, 81, 3515, 22646, 81, 452, 81, 104, 34, 32, 38, 32, 34, 291, 429, 7775, 3082, 1542, 645, 354, 34, 32, 37, 32, 106, 372, 354, 34, 32, 38, 291, 27569, 81, 3515, 28870, 291, 429, 43727, 10343, 328, 4581, 5349, 436, 8964, 5016, 284, 5881, 284, 8822, 280, 1156, 1427, 9818, 2998, 9442, 96, 11968, 34, 79, 284, 6886, 280, 1156, 1427, 505, 284, 1769, 81, 1132, 280, 225, 39, 284, 1847, 81, 1132, 280, 225, 34, 284, 665, 1156, 1664, 3207, 784, 30, 636, 711, 291, 2599, 26, 47127, 5276, 30, 630, 14585, 1664, 3207, 426, 27, 284, 665, 2016, 26, 784, 711, 291, 630, 1114, 944, 81, 1163, 346, 291, 415, 2069, 26, 784, 32, 1132, 27, 610, 225, 34, 44, 324, 630, 32, 3922, 32, 1216, 81, 8795, 346, 324, 5237, 32, 4775, 26, 35, 27, 291, 4774, 280, 630, 32, 1132, 77, 34, 79, 291, 415, 4774, 610, 330, 858, 950, 324, 1245, 32, 1338, 463, 15624, 428, 47127, 5276, 894 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 8, 8, 8, 7, 10, 9, 6, 5, 2, 2, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 5, 8, 10, 9, 10, 8, 6, 6, 7, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 6, 6, 9, 10, 9, 10, 9, 4, 4, 6, 6, 8, 9, 7, 8, 7, 4, 4, 5, 6, 6, 8, 8, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 5, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 2, 1, 1, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 6, 2, 1, 2, 6, 6, 0, 2, 2, 2, 1, 4, 4, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1 ]
[ 1070, 30902, 1188, 319, 203, 1070, 30902, 32, 494, 1188, 319, 203, 1070, 22646, 1188, 319, 203, 1070, 22646, 32, 2342, 470, 1188, 319, 203, 1070, 46215, 32, 1160, 32, 2988, 81, 2516, 1188, 319, 203, 465, 5237, 30, 5741, 203, 751, 280, 5741, 32, 10579, 26, 1156, 426, 505, 829, 203, 751, 32, 34318, 26, 7490, 32, 2897, 27, 203, 4531, 280, 5741, 32, 1862, 1972, 26, 5237, 32, 9362, 829, 203, 1643, 280, 5461, 26, 426, 27, 101, 18147, 2649, 426, 27, 101, 18147, 302, 27749, 27, 101, 18147, 1436, 27, 101, 20, 203, 14548, 280, 5741, 32, 8736, 26, 2179, 829, 203, 4531, 32, 470, 8736, 26, 14971, 829, 203, 751, 32, 669, 1972, 26, 4899, 829, 203, 4519, 280, 11985, 750, 346, 203, 589, 10750, 26, 22646, 81, 3483, 8063, 284, 1459, 1156, 1427, 505, 284, 5035, 32, 2539, 280, 22646, 81, 3483, 284, 5035, 32, 9057, 346, 284, 14209, 81, 1274, 280, 5548, 26, 313, 6319, 392, 5035, 30, 2267, 944, 47, 1815, 829, 284, 281, 280, 7723, 26, 313, 681, 392, 46678, 1967, 652, 26, 225, 36, 39, 39, 2588, 1650, 47, 1815, 829, 284, 1596, 44, 291, 281, 32, 1297, 26, 14209, 81, 1274, 30, 1650, 81, 426, 347, 782, 81, 6319, 81, 681, 20, 829, 291, 1201, 281, 438, 14209, 81, 1274, 32, 85, 32, 681, 284, 2940, 3268, 30, 484, 44, 291, 1459, 313, 21540, 827, 2623, 372, 322, 5338, 1858, 3803, 44, 904, 101, 20, 904, 596, 26, 484, 829, 284, 4774, 280, 313, 8758, 5338, 5798, 827, 280, 330, 311, 32355, 7362, 284, 22646, 81, 3483, 32, 4526, 26, 4774, 829, 203, 589, 2835, 4944, 26, 22646, 81, 3483, 8063, 284, 5035, 32, 2539, 280, 22646, 81, 3483, 284, 5035, 32, 9057, 346, 284, 14209, 81, 1274, 280, 5548, 26, 313, 6319, 392, 5035, 30, 2267, 944, 47, 1815, 829, 284, 1596, 44, 291, 14209, 81, 1274, 32, 85, 32, 681, 32, 3798, 346, 284, 2940, 3268, 30, 484, 44, 291, 1459, 313, 54, 290, 11747, 2623, 827, 645, 322, 5338, 1858, 3803, 44, 904, 101, 20, 904, 596, 26, 484, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 4, 5, 4, 4, 5, 5, 4, 0, 4, 3, 4, 3, 5, 4, 5, 3, 0, 3, 2, 2, 4, 5, 5, 4, 4, 5, 6, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 4, 4, 0, 4, 3, 4, 4, 3, 3, 3, 0, 4, 3, 4, 4, 3, 3, 3, 0, 3, 2, 2, 4, 4, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 2, 2, 5, 6, 4, 4, 5, 5, 2, 2, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 6, 6, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 6, 8, 8, 6, 8, 8, 8, 8, 9, 9, 9, 8, 6, 7, 8, 6, 2, 2, 3, 3, 3, 7, 8, 7, 7, 8, 8, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 7, 4, 4, 5, 6, 6, 9, 9, 8, 9, 7, 8, 3, 3, 4, 4, 4, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 6, 4, 4, 5, 5, 2, 2, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 6, 6, 6, 8, 7, 8, 6, 2, 2, 3, 3, 3, 10, 10, 9, 10, 8, 9, 7, 8, 7, 3, 3, 4, 4, 4, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 14, 14, 2, 2, 1, 1, 2, 14, 14, 0, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 5, 2, 1, 4, 4, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 5, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 5, 5, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 15, 15, 1, 2, 2, 1, 1, 2, 15, 15, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 5, 2, 1, 4, 4, 3, 3, 3, 0, 0, 0, 2, 0, 2, 0, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]